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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRA110^1 : TPTP v9.3.1. Released v9.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 07:54:15 AM UTC 2026

% Result   : Unsatisfiable 137.28s 19.78s
% Output   : Refutation 137.89s
% 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_0,type,
    inj: ( $i > $i ) > $o ).

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

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

thf(func_def_4,type,
    r: $i > $i > $o ).

thf(func_def_7,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_8,type,
    vIMP: $o > $o > $o ).

thf(func_def_9,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_10,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_11,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_12,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_13,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_14,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_15,type,
    sK0: $i > $i ).

thf(func_def_16,type,
    vNOT: $o > $o ).

thf(f1,axiom,
    ( ( ^ [X0: $i > $i] :
        ! [X2: $i,X1: $i] :
          ( ( ( X0 @ X1 )
            = ( X0 @ X2 ) )
         => ( X1 = X2 ) ) )
    = inj ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inj_def) ).

thf(f2,axiom,
    ( ( ^ [X0: $i > $i] :
        ! [X1: $i] :
        ? [X2: $i] :
          ( ( X0 @ X2 )
          = X1 ) )
    = surj ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surj_def) ).

thf(f3,axiom,
    ? [X0: $i > $i] :
      ( ( inj @ X0 )
      & ~ ( surj @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inf) ).

thf(f4,axiom,
    ! [X1: $i,X0: $i] :
      ( ( X0 = X1 )
      | ( b @ X0 @ X1 )
      | ( r @ X0 @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb_cov) ).

thf(f5,axiom,
    ! [X2: $i,X0: $i,X1: $i,X3: $i] :
      ( ~ ( r @ X0 @ X2 )
      | ~ ( r @ X1 @ X2 )
      | ~ ( r @ X2 @ X3 )
      | ~ ( r @ X1 @ X3 )
      | ~ ( r @ X0 @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).

thf(f6,axiom,
    ! [X2: $i,X4: $i,X0: $i,X3: $i,X1: $i] :
      ( ~ ( b @ X0 @ X4 )
      | ~ ( b @ X0 @ X1 )
      | ~ ( b @ X2 @ X3 )
      | ~ ( b @ X3 @ X4 )
      | ~ ( b @ X1 @ X2 )
      | ~ ( b @ X0 @ X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).

thf(f7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r @ X1 @ X0 )
      | ~ ( r @ X2 @ X0 )
      | ~ ( r @ X0 @ X3 )
      | ~ ( r @ X2 @ X3 )
      | ~ ( r @ X1 @ X2 ) ),
    inference(rectify,[],[f5]) ).

thf(f8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( r @ X1 @ X0 )
       != $true )
      | ( ( r @ X2 @ X0 )
       != $true )
      | ( ( r @ X0 @ X3 )
       != $true )
      | ( ( r @ X2 @ X3 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true ) ),
    inference(fool_elimination,[],[f7]) ).

thf(f9,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( b @ X1 @ X0 )
      | ( r @ X1 @ X0 ) ),
    inference(rectify,[],[f4]) ).

thf(f10,plain,
    ! [X1: $i,X0: $i] :
      ( ( ( r @ X1 @ X0 )
        = $true )
      | ( X0 = X1 )
      | ( ( b @ X1 @ X0 )
        = $true ) ),
    inference(fool_elimination,[],[f9]) ).

thf(f11,plain,
    ? [X0: $i > $i] :
      ( ( inj @ X0 )
      & ~ ( surj @ X0 ) ),
    inference(rectify,[],[f3]) ).

thf(f12,plain,
    ? [X0: $i > $i] :
      ( ( ( inj @ X0 )
        = $true )
      & ( ( surj @ X0 )
       != $true ) ),
    inference(fool_elimination,[],[f11]) ).

thf(f13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( b @ X2 @ X1 )
      | ~ ( b @ X2 @ X4 )
      | ~ ( b @ X0 @ X3 )
      | ~ ( b @ X3 @ X1 )
      | ~ ( b @ X4 @ X0 )
      | ~ ( b @ X2 @ X0 ) ),
    inference(rectify,[],[f6]) ).

thf(f14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( $true
       != ( b @ X2 @ X1 ) )
      | ( ( b @ X2 @ X4 )
       != $true )
      | ( ( b @ X0 @ X3 )
       != $true )
      | ( ( b @ X3 @ X1 )
       != $true )
      | ( ( b @ X4 @ X0 )
       != $true )
      | ( ( b @ X2 @ X0 )
       != $true ) ),
    inference(fool_elimination,[],[f13]) ).

thf(f15,plain,
    ( ( ^ [X0: $i > $i] :
        ! [X1: $i,X2: $i] :
          ( ( ( X0 @ X1 )
            = ( X0 @ X2 ) )
         => ( X1 = X2 ) ) )
    = inj ),
    inference(rectify,[],[f1]) ).

thf(f16,plain,
    ( inj
    = ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( ( Y0 @ Y2 )
                    = ( Y0 @ Y1 ) )
                 => ( Y2 = Y1 ) ) ) ) ) ),
    inference(fool_elimination,[],[f15]) ).

thf(f17,plain,
    ( surj
    = ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ?? @ $i
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y2 )
                  = Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f2]) ).

thf(f18,plain,
    ! [X3: $i,X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ X2 @ X3 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( r @ X0 @ X3 )
       != $true )
      | ( ( r @ X1 @ X0 )
       != $true )
      | ( ( r @ X2 @ X0 )
       != $true ) ),
    inference(flattening,[],[f8]) ).

thf(f19,plain,
    ? [X0: $i > $i] :
      ( ( ( inj @ X0 )
        = $true )
      & ( ( surj @ X0 )
       != $true ) ),
    inference(flattening,[],[f12]) ).

thf(f20,plain,
    ! [X2: $i,X1: $i,X0: $i,X3: $i,X4: $i] :
      ( ( $true
       != ( b @ X2 @ X1 ) )
      | ( ( b @ X3 @ X1 )
       != $true )
      | ( ( b @ X0 @ X3 )
       != $true )
      | ( ( b @ X2 @ X0 )
       != $true )
      | ( ( b @ X4 @ X0 )
       != $true )
      | ( ( b @ X2 @ X4 )
       != $true ) ),
    inference(flattening,[],[f14]) ).

thf(f21,plain,
    ( ( ( inj @ sK0 )
      = $true )
    & ( ( surj @ sK0 )
     != $true ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).

thf(f22,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ X0 @ X1 )
        = $true )
      | ( X0 = X1 )
      | ( ( b @ X0 @ X1 )
        = $true ) ),
    inference(rectify,[],[f10]) ).

thf(f23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( b @ X0 @ X1 )
       != $true )
      | ( ( b @ X3 @ X1 )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( ( b @ X4 @ X2 )
       != $true )
      | ( ( b @ X0 @ X4 )
       != $true ) ),
    inference(rectify,[],[f20]) ).

thf(f24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( r @ X1 @ X0 )
       != $true )
      | ( ( r @ X3 @ X1 )
       != $true )
      | ( ( r @ X2 @ X0 )
       != $true )
      | ( ( r @ X3 @ X2 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true ) ),
    inference(rectify,[],[f18]) ).

thf(f25,plain,
    ( ( surj @ sK0 )
   != $true ),
    inference(cnf_transformation,[],[f21]) ).

thf(f26,plain,
    ( ( inj @ sK0 )
    = $true ),
    inference(cnf_transformation,[],[f21]) ).

thf(f27,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ X0 @ X1 )
        = $true )
      | ( X0 = X1 )
      | ( ( b @ X0 @ X1 )
        = $true ) ),
    inference(cnf_transformation,[],[f22]) ).

thf(f28,plain,
    ( inj
    = ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( ( Y0 @ Y2 )
                    = ( Y0 @ Y1 ) )
                 => ( Y2 = Y1 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f29,plain,
    ( surj
    = ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ?? @ $i
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y2 )
                  = Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f30,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
      ( ( ( b @ X4 @ X2 )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X3 @ X1 )
       != $true )
      | ( ( b @ X0 @ X1 )
       != $true )
      | ( ( b @ X0 @ X4 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true ) ),
    inference(cnf_transformation,[],[f23]) ).

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

thf(f34,plain,
    ( $true
    = ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( ( Y0 @ Y2 )
                    = ( Y0 @ Y1 ) )
                 => ( Y2 = Y1 ) ) ) )
      @ sK0 ) ),
    inference(definition_unfolding,[],[f26,f28]) ).

thf(f35,plain,
    ( $true
   != ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ?? @ $i
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y2 )
                  = Y1 ) ) )
      @ sK0 ) ),
    inference(definition_unfolding,[],[f25,f29]) ).

thf(f36,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( ?? @ $i
          @ ^ [Y1: $i] :
              ( ( sK0 @ Y1 )
              = Y0 ) ) )
   != $true ),
    inference(beta-eta_normalization,[],[f35]) ).

thf(f37,plain,
    ( ( ^ [Y0: $i] :
          ( ?? @ $i
          @ ^ [Y1: $i] :
              ( ( sK0 @ Y1 )
              = Y0 ) )
      @ sK1 )
    = $false ),
    inference(sigma_proxy_clausification,[],[f36]) ).

thf(f38,plain,
    ( ( ?? @ $i
      @ ^ [Y0: $i] :
          ( ( sK0 @ Y0 )
          = sK1 ) )
    = $false ),
    inference(beta-eta_normalization,[],[f37]) ).

thf(f39,plain,
    ! [X1: $i] :
      ( ( ^ [Y0: $i] :
            ( ( sK0 @ Y0 )
            = sK1 )
        @ X1 )
      = $false ),
    inference(pi_proxy_clausification,[],[f38]) ).

thf(f40,plain,
    ! [X1: $i] :
      ( $false
      = ( ( sK0 @ X1 )
        = sK1 ) ),
    inference(beta-eta_normalization,[],[f39]) ).

thf(f41,plain,
    ! [X1: $i] :
      ( ( sK0 @ X1 )
     != sK1 ),
    inference(equality_proxy_clausification,[],[f40]) ).

thf(f42,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ( ( sK0 @ Y1 )
                = ( sK0 @ Y0 ) )
             => ( Y1 = Y0 ) ) ) )
    = $true ),
    inference(beta-eta_normalization,[],[f34]) ).

thf(f43,plain,
    ! [X1: $i] :
      ( ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ( sK0 @ Y1 )
                  = ( sK0 @ Y0 ) )
               => ( Y1 = Y0 ) ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f42]) ).

thf(f44,plain,
    ! [X1: $i] :
      ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( ( sK0 @ Y0 )
              = ( sK0 @ X1 ) )
           => ( Y0 = X1 ) ) )
      = $true ),
    inference(beta-eta_normalization,[],[f43]) ).

thf(f45,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( ( sK0 @ Y0 )
              = ( sK0 @ X1 ) )
           => ( Y0 = X1 ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f44]) ).

thf(f46,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( ( sK0 @ X2 )
          = ( sK0 @ X1 ) )
       => ( X2 = X1 ) )
      = $true ),
    inference(beta-eta_normalization,[],[f45]) ).

thf(f47,plain,
    ! [X2: $i,X1: $i] :
      ( ( $false
        = ( ( sK0 @ X2 )
          = ( sK0 @ X1 ) ) )
      | ( ( X2 = X1 )
        = $true ) ),
    inference(imp_proxy_clausification,[],[f46]) ).

thf(f48,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( X2 = X1 )
        = $true )
      | ( ( sK0 @ X1 )
       != ( sK0 @ X2 ) ) ),
    inference(equality_proxy_clausification,[],[f47]) ).

thf(f49,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( sK0 @ X1 )
       != ( sK0 @ X2 ) )
      | ( X1 = X2 ) ),
    inference(equality_proxy_clausification,[],[f48]) ).

thf(f50,plain,
    ! [X0: $i] :
      ( ( ( r @ ( sK0 @ X0 ) @ sK1 )
        = $true )
      | ( ( b @ ( sK0 @ X0 ) @ sK1 )
        = $true ) ),
    inference(extensionality_resolution,[],[f27,f41]) ).

thf(f51,plain,
    ! [X0: $i] :
      ( ( ( r @ sK1 @ ( sK0 @ X0 ) )
        = $true )
      | ( ( b @ sK1 @ ( sK0 @ X0 ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f27,f41]) ).

thf(f52,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
      | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
        = $true )
      | ( X0 = X1 ) ),
    inference(extensionality_resolution,[],[f27,f49]) ).

thf(f55,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( r @ X1 @ X3 )
       != $true )
      | ( ( r @ X2 @ X3 )
       != $true )
      | ( ( r @ X0 @ X2 )
       != $true )
      | ( X0 = X1 )
      | ( $true != $true )
      | ( ( r @ X2 @ X1 )
       != $true )
      | ( ( b @ X0 @ X1 )
        = $true ) ),
    inference(constrained_superposition,[],[f31,f27]) ).

thf(f56,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( r @ X2 @ X3 )
       != $true )
      | ( ( r @ X0 @ X2 )
       != $true )
      | ( ( r @ X1 @ X3 )
       != $true )
      | ( ( r @ X2 @ X1 )
       != $true )
      | ( ( b @ X0 @ X1 )
        = $true )
      | ( X0 = X1 ) ),
    inference(trivial_inequality_removal,[],[f55]) ).

thf(f57,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ X0 ) @ sK1 )
        = $true )
      | ( ( r @ ( sK0 @ X0 ) @ X1 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true != $true )
      | ( $true
       != ( r @ X1 @ sK1 ) )
      | ( $true
       != ( r @ sK1 @ X2 ) ) ),
    inference(constrained_superposition,[],[f31,f50]) ).

thf(f58,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ X0 ) @ X1 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( b @ ( sK0 @ X0 ) @ sK1 )
        = $true )
      | ( $true
       != ( r @ X1 @ sK1 ) )
      | ( $true
       != ( r @ sK1 @ X2 ) ) ),
    inference(trivial_inequality_removal,[],[f57]) ).

thf(f74,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
       != ( r @ X1 @ ( sK0 @ X0 ) ) )
      | ( ( r @ ( sK0 @ X0 ) @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( r @ sK1 @ X1 )
       != $true )
      | ( ( b @ sK1 @ ( sK0 @ X0 ) )
        = $true ) ),
    inference(constrained_superposition,[],[f31,f51]) ).

thf(f75,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X1 @ ( sK0 @ X0 ) ) )
      | ( ( b @ sK1 @ ( sK0 @ X0 ) )
        = $true )
      | ( ( r @ sK1 @ X1 )
       != $true )
      | ( ( r @ ( sK0 @ X0 ) @ X2 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f74]) ).

thf(f81,plain,
    ! [X0: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f52,f41]) ).

thf(f82,plain,
    ! [X0: $i] :
      ( ( $true
        = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
      | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f52,f41]) ).

thf(f83,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
      | ( X0 = X1 )
      | ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f52,f49]) ).

thf(f91,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
      | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(constrained_superposition,[],[f75,f81]) ).

thf(f92,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
       != $true )
      | ( $true != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( ( r @ sK1 @ X1 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
        = $true ) ),
    inference(constrained_superposition,[],[f58,f81]) ).

thf(f93,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
      | ( ( r @ X1 @ ( sK0 @ sK1 ) )
       != $true )
      | ( $true != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X2 ) )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true ) ),
    inference(constrained_superposition,[],[f31,f81]) ).

thf(f94,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
      | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f91]) ).

thf(f95,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( r @ X1 @ ( sK0 @ sK1 ) )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X2 ) ) ),
    inference(trivial_inequality_removal,[],[f93]) ).

thf(f96,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ sK1 @ X1 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
        = $true )
      | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f92]) ).

thf(f98,definition,
    ( spl2_4
  <=> ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).

thf(f99,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f98]) ).

thf(f101,definition,
    ( spl2_5
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).

thf(f102,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f101]) ).

thf(f103,plain,
    ( spl2_4
    | spl2_5 ),
    inference(avatar_split_clause,[],[f94,f101,f98]) ).

thf(f105,definition,
    ( spl2_6
  <=> ! [X1: $i] :
        ( ( ( r @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

thf(f106,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f105]) ).

thf(f108,definition,
    ( spl2_7
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

thf(f109,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f108]) ).

thf(f111,definition,
    ( spl2_8
  <=> ( ( r @ ( sK0 @ sK1 ) @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).

thf(f112,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | spl2_8 ),
    inference(avatar_component_clause,[],[f111]) ).

thf(f113,plain,
    ( spl2_6
    | spl2_7
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f96,f111,f108,f105]) ).

thf(f114,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f30,f99]) ).

thf(f115,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f114]) ).

thf(f116,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | spl2_8 ),
    inference(constrained_superposition,[],[f112,f50]) ).

thf(f118,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | spl2_8 ),
    inference(trivial_inequality_removal,[],[f116]) ).

thf(f132,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | spl2_8 ),
    inference(constrained_superposition,[],[f115,f118]) ).

thf(f133,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | spl2_8 ),
    inference(trivial_inequality_removal,[],[f132]) ).

thf(f137,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f95,f81]) ).

thf(f138,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
        = $true )
      | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( r @ sK1 @ X1 )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(constrained_superposition,[],[f95,f50]) ).

thf(f142,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f137]) ).

thf(f143,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f142]) ).

thf(f145,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
       != $true )
      | ( ( r @ sK1 @ X1 )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f138]) ).

thf(f147,definition,
    ( spl2_11
  <=> ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).

thf(f148,plain,
    ( ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f147]) ).

thf(f150,definition,
    ( spl2_12
  <=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).

thf(f151,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_12 ),
    inference(avatar_component_clause,[],[f150]) ).

thf(f153,definition,
    ( spl2_13
  <=> ! [X1: $i] :
        ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).

thf(f154,plain,
    ( ! [X1: $i] :
        ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
    | ~ spl2_13 ),
    inference(avatar_component_clause,[],[f153]) ).

thf(f155,plain,
    ( spl2_11
    | ~ spl2_12
    | spl2_13 ),
    inference(avatar_split_clause,[],[f143,f153,f150,f147]) ).

thf(f157,definition,
    ( spl2_14
  <=> ( ( r @ sK1 @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).

thf(f158,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_14 ),
    inference(avatar_component_clause,[],[f157]) ).

thf(f159,plain,
    ( spl2_6
    | spl2_7
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f145,f157,f108,f105]) ).

thf(f160,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | spl2_14 ),
    inference(constrained_superposition,[],[f158,f51]) ).

thf(f162,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_14 ),
    inference(trivial_inequality_removal,[],[f160]) ).

thf(f165,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ X3 @ ( sK0 @ ( sK0 @ X0 ) ) )
       != $true )
      | ( ( b @ X3 @ X2 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
       != $true )
      | ( $true
       != ( b @ X3 @ ( sK0 @ sK1 ) ) ) ),
    inference(constrained_superposition,[],[f30,f82]) ).

thf(f166,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( $true
       != ( b @ X3 @ ( sK0 @ sK1 ) ) )
      | ( ( b @ X3 @ ( sK0 @ ( sK0 @ X0 ) ) )
       != $true )
      | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
        = $true )
      | ( ( b @ X3 @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f165]) ).

thf(f168,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
        = $true )
      | ( X0 = X1 )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f83,f49]) ).

thf(f170,plain,
    ! [X0: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f83,f41]) ).

thf(f171,plain,
    ! [X0: $i] :
      ( ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f83,f41]) ).

thf(f178,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( $true
       != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
       != $true )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f75,f170]) ).

thf(f179,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
       != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(constrained_superposition,[],[f95,f170]) ).

thf(f181,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ X1 @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
       != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
       != $true )
      | ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
       != $true ) ),
    inference(constrained_superposition,[],[f31,f170]) ).

thf(f183,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
       != $true )
      | ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f181]) ).

thf(f184,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( $true
       != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
       != $true )
      | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f178]) ).

thf(f185,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
       != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f179]) ).

thf(f187,definition,
    ( spl2_15
  <=> ! [X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ sK1 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).

thf(f188,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_15 ),
    inference(avatar_component_clause,[],[f187]) ).

thf(f190,definition,
    ( spl2_16
  <=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).

thf(f191,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | spl2_16 ),
    inference(avatar_component_clause,[],[f190]) ).

thf(f197,definition,
    ( spl2_18
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).

thf(f198,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_18 ),
    inference(avatar_component_clause,[],[f197]) ).

thf(f200,definition,
    ( spl2_19
  <=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).

thf(f201,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f200]) ).

thf(f202,plain,
    ( spl2_18
    | spl2_19 ),
    inference(avatar_split_clause,[],[f184,f200,f197]) ).

thf(f204,definition,
    ( spl2_20
  <=> ! [X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).

thf(f205,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
    | ~ spl2_20 ),
    inference(avatar_component_clause,[],[f204]) ).

thf(f207,definition,
    ( spl2_21
  <=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).

thf(f208,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_21 ),
    inference(avatar_component_clause,[],[f207]) ).

thf(f210,definition,
    ( spl2_22
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).

thf(f211,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_22 ),
    inference(avatar_component_clause,[],[f210]) ).

thf(f212,plain,
    ( spl2_20
    | ~ spl2_21
    | spl2_22 ),
    inference(avatar_split_clause,[],[f185,f210,f207,f204]) ).

thf(f213,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_16 ),
    inference(constrained_superposition,[],[f191,f50]) ).

thf(f215,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_16 ),
    inference(trivial_inequality_removal,[],[f213]) ).

thf(f218,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | spl2_16 ),
    inference(constrained_superposition,[],[f166,f215]) ).

thf(f223,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | spl2_16 ),
    inference(trivial_inequality_removal,[],[f218]) ).

thf(f226,definition,
    ( spl2_23
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).

thf(f227,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_23 ),
    inference(avatar_component_clause,[],[f226]) ).

thf(f229,definition,
    ( spl2_24
  <=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).

thf(f230,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_24 ),
    inference(avatar_component_clause,[],[f229]) ).

thf(f233,definition,
    ( spl2_25
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).

thf(f234,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_25 ),
    inference(avatar_component_clause,[],[f233]) ).

thf(f235,plain,
    ( spl2_25
    | spl2_24
    | spl2_16 ),
    inference(avatar_split_clause,[],[f223,f190,f229,f233]) ).

thf(f237,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( sK1
      = ( sK0 @ sK1 ) )
    | spl2_21 ),
    inference(constrained_superposition,[],[f208,f52]) ).

thf(f240,plain,
    ( ( sK1
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_21 ),
    inference(trivial_inequality_removal,[],[f237]) ).

thf(f242,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_21 ),
    inference(forward_subsumption_resolution,[],[f240,f41]) ).

thf(f244,definition,
    ( spl2_26
  <=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).

thf(f245,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f244]) ).

thf(f247,definition,
    ( spl2_27
  <=> ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).

thf(f248,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_27 ),
    inference(avatar_component_clause,[],[f247]) ).

thf(f250,plain,
    ( spl2_26
    | spl2_21 ),
    inference(avatar_split_clause,[],[f242,f207,f244]) ).

thf(f273,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
       != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
      | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f183,f81]) ).

thf(f277,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
       != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f273]) ).

thf(f287,definition,
    ( spl2_29
  <=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).

thf(f288,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_29 ),
    inference(avatar_component_clause,[],[f287]) ).

thf(f290,definition,
    ( spl2_30
  <=> ! [X1: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
       != $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).

thf(f291,plain,
    ( ! [X1: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
       != $true )
    | ~ spl2_30 ),
    inference(avatar_component_clause,[],[f290]) ).

thf(f317,definition,
    ( spl2_33
  <=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).

thf(f318,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_33 ),
    inference(avatar_component_clause,[],[f317]) ).

thf(f344,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_24 ),
    inference(avatar_component_clause,[],[f229]) ).

thf(f345,plain,
    ( ~ spl2_24
    | spl2_20
    | spl2_22 ),
    inference(avatar_split_clause,[],[f277,f210,f204,f229]) ).

thf(f356,definition,
    ( spl2_37
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).

thf(f357,plain,
    ( ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) ) )
    | ~ spl2_37 ),
    inference(avatar_component_clause,[],[f356]) ).

thf(f361,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f31,f230]) ).

thf(f363,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f361]) ).

thf(f365,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_15 ),
    inference(constrained_superposition,[],[f188,f81]) ).

thf(f367,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ sK1 @ ( sK0 @ X0 ) )
         != $true ) )
    | ~ spl2_15 ),
    inference(constrained_superposition,[],[f188,f52]) ).

thf(f371,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_15 ),
    inference(trivial_inequality_removal,[],[f365]) ).

thf(f372,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ X0 ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_15 ),
    inference(trivial_inequality_removal,[],[f367]) ).

thf(f373,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f363,f81]) ).

thf(f374,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f363,f50]) ).

thf(f378,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f374]) ).

thf(f379,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f373]) ).

thf(f382,definition,
    ( spl2_38
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).

thf(f383,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_38 ),
    inference(avatar_component_clause,[],[f382]) ).

thf(f385,definition,
    ( spl2_39
  <=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).

thf(f386,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_39 ),
    inference(avatar_component_clause,[],[f385]) ).

thf(f387,plain,
    ( spl2_38
    | spl2_39
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f378,f229,f385,f382]) ).

thf(f389,definition,
    ( spl2_40
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).

thf(f390,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_40 ),
    inference(avatar_component_clause,[],[f389]) ).

thf(f391,plain,
    ( spl2_26
    | spl2_40
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f379,f229,f389,f244]) ).

thf(f394,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_39 ),
    inference(constrained_superposition,[],[f30,f386]) ).

thf(f396,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_39 ),
    inference(trivial_inequality_removal,[],[f394]) ).

thf(f433,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_15 ),
    inference(constrained_superposition,[],[f372,f51]) ).

thf(f435,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_15 ),
    inference(trivial_inequality_removal,[],[f433]) ).

thf(f461,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ X3 @ X2 )
         != $true ) )
    | ~ spl2_22 ),
    inference(constrained_superposition,[],[f30,f211]) ).

thf(f462,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true
         != ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ X3 @ X2 )
         != $true ) )
    | ~ spl2_22 ),
    inference(trivial_inequality_removal,[],[f461]) ).

thf(f484,definition,
    ( spl2_43
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_43])],[avatar_definition]) ).

thf(f485,plain,
    ( ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_43 ),
    inference(avatar_component_clause,[],[f484]) ).

thf(f498,definition,
    ( spl2_44
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).

thf(f499,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl2_44 ),
    inference(avatar_component_clause,[],[f498]) ).

thf(f504,definition,
    ( spl2_46
  <=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).

thf(f505,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_46 ),
    inference(avatar_component_clause,[],[f504]) ).

thf(f513,definition,
    ( spl2_48
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X2 ) )
        | ( ( b @ X1 @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).

thf(f514,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X2 ) ) )
    | ~ spl2_48 ),
    inference(avatar_component_clause,[],[f513]) ).

thf(f516,definition,
    ( spl2_49
  <=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_49])],[avatar_definition]) ).

thf(f517,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_49 ),
    inference(avatar_component_clause,[],[f516]) ).

thf(f523,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( sK0 @ sK1 ) )
       != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true )
      | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
       != $true )
      | ( $true
       != ( b @ X2 @ X1 ) )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f166,f171]) ).

thf(f525,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X3 @ X2 )
       != $true )
      | ( $true
       != ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( $true != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f30,f171]) ).

thf(f526,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( b @ X2 @ X1 ) )
      | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true )
      | ( ( b @ X2 @ ( sK0 @ sK1 ) )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
       != $true )
      | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f523]) ).

thf(f529,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X3 @ X2 )
       != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f525]) ).

thf(f553,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( r @ X3 @ X1 )
       != $true )
      | ( ( b @ X2 @ X3 )
        = $true )
      | ( ( b @ X0 @ X1 )
        = $true )
      | ( X2 = X3 )
      | ( ( r @ X0 @ X3 )
       != $true )
      | ( ( r @ X2 @ X0 )
       != $true )
      | ( $true != $true )
      | ( X0 = X1 ) ),
    inference(constrained_superposition,[],[f56,f27]) ).

thf(f554,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( X1 = X2 )
      | ( $true != $true )
      | ( ( b @ X1 @ X2 )
        = $true )
      | ( ( r @ ( sK0 @ X0 ) @ X2 )
       != $true )
      | ( ( b @ ( sK0 @ X0 ) @ sK1 )
        = $true )
      | ( $true
       != ( r @ X1 @ ( sK0 @ X0 ) ) )
      | ( ( r @ X2 @ sK1 )
       != $true ) ),
    inference(constrained_superposition,[],[f56,f50]) ).

thf(f558,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( X0 = X1 )
        | ( ( b @ X0 @ X1 )
          = $true ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f56,f230]) ).

thf(f559,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X2 @ ( sK0 @ X0 ) ) )
      | ( $true != $true )
      | ( $true
       != ( r @ sK1 @ X2 ) )
      | ( ( b @ X1 @ X2 )
        = $true )
      | ( X1 = X2 )
      | ( $true
       != ( r @ X1 @ sK1 ) )
      | ( ( b @ sK1 @ ( sK0 @ X0 ) )
        = $true ) ),
    inference(constrained_superposition,[],[f56,f51]) ).

thf(f560,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( r @ X3 @ X1 )
       != $true )
      | ( ( b @ X2 @ X3 )
        = $true )
      | ( ( b @ X0 @ X1 )
        = $true )
      | ( ( r @ X0 @ X3 )
       != $true )
      | ( ( r @ X2 @ X0 )
       != $true )
      | ( X2 = X3 )
      | ( X0 = X1 ) ),
    inference(trivial_inequality_removal,[],[f553]) ).

thf(f562,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( b @ X0 @ X1 )
          = $true )
        | ( X0 = X1 )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f558]) ).

thf(f564,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X2 @ ( sK0 @ X0 ) ) )
      | ( X1 = X2 )
      | ( ( b @ sK1 @ ( sK0 @ X0 ) )
        = $true )
      | ( $true
       != ( r @ sK1 @ X2 ) )
      | ( ( b @ X1 @ X2 )
        = $true )
      | ( $true
       != ( r @ X1 @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f559]) ).

thf(f566,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X1 @ ( sK0 @ X0 ) ) )
      | ( ( r @ ( sK0 @ X0 ) @ X2 )
       != $true )
      | ( ( r @ X2 @ sK1 )
       != $true )
      | ( X1 = X2 )
      | ( ( b @ ( sK0 @ X0 ) @ sK1 )
        = $true )
      | ( ( b @ X1 @ X2 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f554]) ).

thf(f567,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X0 @ X1 )
        = $true )
      | ( X0 = X2 )
      | ( ( r @ X2 @ X3 )
       != $true )
      | ( $true
       != ( r @ X3 @ X0 ) )
      | ( X1 = X3 )
      | ( ( b @ X2 @ X0 )
        = $true )
      | ( ( b @ X3 @ X1 )
        = $true )
      | ( $true != $true )
      | ( X0 = X1 ) ),
    inference(constrained_superposition,[],[f560,f27]) ).

thf(f568,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( sK1 = X2 )
      | ( $true != $true )
      | ( ( b @ X1 @ ( sK0 @ X0 ) )
        = $true )
      | ( ( sK0 @ X0 )
        = X1 )
      | ( ( b @ ( sK0 @ X0 ) @ sK1 )
        = $true )
      | ( $true
       != ( r @ X2 @ ( sK0 @ X0 ) ) )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
        = ( b @ X2 @ sK1 ) ) ),
    inference(constrained_superposition,[],[f560,f50]) ).

thf(f573,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( sK1 = X1 )
      | ( ( b @ X2 @ ( sK0 @ X0 ) )
        = $true )
      | ( $true
        = ( b @ X1 @ sK1 ) )
      | ( ( r @ X2 @ sK1 )
       != $true )
      | ( ( b @ sK1 @ ( sK0 @ X0 ) )
        = $true )
      | ( $true != $true )
      | ( ( sK0 @ X0 )
        = X2 )
      | ( ( r @ X1 @ X2 )
       != $true ) ),
    inference(constrained_superposition,[],[f560,f51]) ).

thf(f574,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X2 @ ( sK0 @ X0 ) ) )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( sK1 = X2 )
      | ( ( sK0 @ X0 )
        = X1 )
      | ( $true
        = ( b @ X2 @ sK1 ) )
      | ( ( b @ X1 @ ( sK0 @ X0 ) )
        = $true )
      | ( ( b @ ( sK0 @ X0 ) @ sK1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f568]) ).

thf(f578,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ X2 @ sK1 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( b @ sK1 @ ( sK0 @ X0 ) )
        = $true )
      | ( ( sK0 @ X0 )
        = X2 )
      | ( ( b @ X2 @ ( sK0 @ X0 ) )
        = $true )
      | ( $true
        = ( b @ X1 @ sK1 ) )
      | ( sK1 = X1 ) ),
    inference(trivial_inequality_removal,[],[f573]) ).

thf(f580,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X3 @ X0 ) )
      | ( X1 = X3 )
      | ( X0 = X2 )
      | ( ( r @ X2 @ X3 )
       != $true )
      | ( ( b @ X0 @ X1 )
        = $true )
      | ( X0 = X1 )
      | ( ( b @ X3 @ X1 )
        = $true )
      | ( ( b @ X2 @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f567]) ).

thf(f583,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) )
    | ~ spl2_24 ),
    inference(extensionality_resolution,[],[f562,f41]) ).

thf(f584,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_24 ),
    inference(extensionality_resolution,[],[f562,f41]) ).

thf(f585,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( X0 = X1 )
        | ( $true != $true )
        | ( ( r @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f562,f27]) ).

thf(f589,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f562,f51]) ).

thf(f590,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f589]) ).

thf(f591,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
          = $true )
        | ( X0 = X1 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( r @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f585]) ).

thf(f635,definition,
    ( spl2_51
  <=> ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).

thf(f636,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_51 ),
    inference(avatar_component_clause,[],[f635]) ).

thf(f721,plain,
    ! [X0: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f168,f41]) ).

thf(f722,plain,
    ! [X0: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f168,f41]) ).

thf(f814,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_43 ),
    inference(constrained_superposition,[],[f485,f83]) ).

thf(f826,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_43 ),
    inference(trivial_inequality_removal,[],[f814]) ).

thf(f838,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ sK1 @ ( sK0 @ X0 ) )
        = $true )
      | ( sK1 = X1 )
      | ( $true
       != ( r @ X1 @ sK1 ) )
      | ( $true != $true )
      | ( ( b @ ( sK0 @ X0 ) @ sK1 )
        = $true )
      | ( ( r @ ( sK0 @ X0 ) @ X1 )
       != $true )
      | ( ( b @ sK1 @ X1 )
        = $true ) ),
    inference(constrained_superposition,[],[f566,f51]) ).

thf(f841,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ X0 ) @ X1 )
       != $true )
      | ( ( b @ sK1 @ ( sK0 @ X0 ) )
        = $true )
      | ( ( b @ ( sK0 @ X0 ) @ sK1 )
        = $true )
      | ( sK1 = X1 )
      | ( $true
       != ( r @ X1 @ sK1 ) )
      | ( ( b @ sK1 @ X1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f838]) ).

thf(f852,plain,
    ! [X0: $i] :
      ( ( $true != $true )
      | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
       != $true )
      | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
        = $true )
      | ( sK1
        = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    inference(constrained_superposition,[],[f841,f170]) ).

thf(f860,plain,
    ! [X0: $i] :
      ( ( sK1
        = ( sK0 @ ( sK0 @ sK1 ) ) )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
       != $true )
      | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f852]) ).

thf(f864,plain,
    ! [X0: $i] :
      ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
        = $true )
      | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
       != $true )
      | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true ) ),
    inference(forward_subsumption_resolution,[],[f860,f41]) ).

thf(f866,definition,
    ( spl2_56
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).

thf(f867,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_56 ),
    inference(avatar_component_clause,[],[f866]) ).

thf(f868,plain,
    ( spl2_56
    | spl2_19
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f864,f190,f200,f866]) ).

thf(f940,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f95,f721]) ).

thf(f947,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 )
       != $true ) ),
    inference(constrained_superposition,[],[f31,f721]) ).

thf(f952,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f940]) ).

thf(f953,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 )
       != $true )
      | ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f947]) ).

thf(f961,definition,
    ( spl2_57
  <=> ! [X1: $i] :
        ( ( ( r @ sK1 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_57])],[avatar_definition]) ).

thf(f962,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_57 ),
    inference(avatar_component_clause,[],[f961]) ).

thf(f964,definition,
    ( spl2_58
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).

thf(f965,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | spl2_58 ),
    inference(avatar_component_clause,[],[f964]) ).

thf(f971,definition,
    ( spl2_60
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).

thf(f972,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_60 ),
    inference(avatar_component_clause,[],[f971]) ).

thf(f974,definition,
    ( spl2_61
  <=> ! [X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_61])],[avatar_definition]) ).

thf(f975,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_61 ),
    inference(avatar_component_clause,[],[f974]) ).

thf(f981,definition,
    ( spl2_63
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_63])],[avatar_definition]) ).

thf(f982,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_63 ),
    inference(avatar_component_clause,[],[f981]) ).

thf(f984,definition,
    ( spl2_64
  <=> ! [X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_64])],[avatar_definition]) ).

thf(f985,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
    | ~ spl2_64 ),
    inference(avatar_component_clause,[],[f984]) ).

thf(f987,definition,
    ( spl2_65
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).

thf(f988,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_65 ),
    inference(avatar_component_clause,[],[f987]) ).

thf(f989,plain,
    ( ~ spl2_63
    | spl2_64
    | spl2_65 ),
    inference(avatar_split_clause,[],[f952,f987,f984,f981]) ).

thf(f994,definition,
    ( spl2_67
  <=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).

thf(f995,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_67 ),
    inference(avatar_component_clause,[],[f994]) ).

thf(f998,definition,
    ( spl2_68
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).

thf(f999,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_68 ),
    inference(avatar_component_clause,[],[f998]) ).

thf(f1013,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( $true != $true )
    | spl2_58 ),
    inference(constrained_superposition,[],[f965,f50]) ).

thf(f1016,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | spl2_58 ),
    inference(trivial_inequality_removal,[],[f1013]) ).

thf(f1018,plain,
    ( spl2_68
    | spl2_58 ),
    inference(avatar_split_clause,[],[f1016,f964,f998]) ).

thf(f1021,plain,
    ( ( sK1
      = ( sK0 @ sK1 ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_43
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f826,f995]) ).

thf(f1023,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_22
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f462,f995]) ).

thf(f1028,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f30,f995]) ).

thf(f1031,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( sK1
      = ( sK0 @ sK1 ) )
    | ~ spl2_43
    | ~ spl2_67 ),
    inference(trivial_inequality_removal,[],[f1021]) ).

thf(f1034,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_22
    | ~ spl2_67 ),
    inference(trivial_inequality_removal,[],[f1023]) ).

thf(f1038,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_67 ),
    inference(trivial_inequality_removal,[],[f1028]) ).

thf(f1040,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_43
    | ~ spl2_67 ),
    inference(forward_subsumption_resolution,[],[f1031,f41]) ).

thf(f1042,definition,
    ( spl2_72
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_72])],[avatar_definition]) ).

thf(f1043,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_72 ),
    inference(avatar_component_clause,[],[f1042]) ).

thf(f1045,definition,
    ( spl2_73
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_73])],[avatar_definition]) ).

thf(f1046,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_73 ),
    inference(avatar_component_clause,[],[f1045]) ).

thf(f1048,definition,
    ( spl2_74
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).

thf(f1049,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_74 ),
    inference(avatar_component_clause,[],[f1048]) ).

thf(f1052,definition,
    ( spl2_75
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).

thf(f1053,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_75 ),
    inference(avatar_component_clause,[],[f1052]) ).

thf(f1054,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_19 ),
    inference(avatar_component_clause,[],[f200]) ).

thf(f1055,plain,
    ( spl2_75
    | spl2_73
    | ~ spl2_19
    | ~ spl2_22
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f1034,f994,f210,f200,f1045,f1052]) ).

thf(f1058,definition,
    ( spl2_76
  <=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).

thf(f1059,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_76 ),
    inference(avatar_component_clause,[],[f1058]) ).

thf(f1061,definition,
    ( spl2_77
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).

thf(f1062,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_77 ),
    inference(avatar_component_clause,[],[f1061]) ).

thf(f1067,definition,
    ( spl2_78
  <=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).

thf(f1068,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_78 ),
    inference(avatar_component_clause,[],[f1067]) ).

thf(f1075,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_67
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f995,f1049]) ).

thf(f1076,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | spl2_58
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f965,f1049]) ).

thf(f1084,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_22
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f211,f1049]) ).

thf(f1088,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f529,f1049]) ).

thf(f1137,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_15
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f435,f1049]) ).

thf(f1153,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_74 ),
    inference(duplicate_literal_removal,[],[f1088]) ).

thf(f1157,definition,
    ( spl2_79
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).

thf(f1158,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_79 ),
    inference(avatar_component_clause,[],[f1157]) ).

thf(f1161,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_22
    | spl2_46
    | ~ spl2_74 ),
    inference(forward_subsumption_resolution,[],[f1084,f505]) ).

thf(f1162,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | spl2_29
    | ~ spl2_74 ),
    inference(forward_subsumption_resolution,[],[f1153,f288]) ).

thf(f1163,plain,
    ( ~ spl2_16
    | spl2_58
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f1076,f1048,f964,f190]) ).

thf(f1170,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_15
    | spl2_46
    | ~ spl2_74 ),
    inference(forward_subsumption_resolution,[],[f1137,f505]) ).

thf(f1172,plain,
    ( $false
    | spl2_19
    | ~ spl2_67
    | ~ spl2_74 ),
    inference(forward_subsumption_resolution,[],[f1075,f1054]) ).

thf(f1173,plain,
    ( spl2_19
    | ~ spl2_67
    | ~ spl2_74 ),
    inference(avatar_contradiction_clause,[],[f1172]) ).

thf(f1176,plain,
    ( spl2_26
    | ~ spl2_22
    | spl2_46
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f1161,f1048,f504,f210,f244]) ).

thf(f1177,plain,
    ( spl2_79
    | spl2_29
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f1162,f1048,f287,f1157]) ).

thf(f1185,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_15
    | spl2_19
    | spl2_46
    | ~ spl2_74 ),
    inference(forward_subsumption_resolution,[],[f1170,f1054]) ).

thf(f1189,plain,
    ( spl2_27
    | ~ spl2_15
    | spl2_19
    | spl2_46
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f1185,f1048,f504,f200,f187,f247]) ).

thf(f1190,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | spl2_68 ),
    inference(avatar_component_clause,[],[f998]) ).

thf(f1191,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_60 ),
    inference(avatar_component_clause,[],[f971]) ).

thf(f1201,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_4
    | spl2_8
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f133,f245]) ).

thf(f1206,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_4
    | spl2_8
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f1201]) ).

thf(f1212,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | spl2_8
    | ~ spl2_26
    | ~ spl2_39 ),
    inference(forward_subsumption_resolution,[],[f1206,f386]) ).

thf(f1217,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_68 ),
    inference(constrained_superposition,[],[f30,f999]) ).

thf(f1218,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_68 ),
    inference(trivial_inequality_removal,[],[f1217]) ).

thf(f1224,definition,
    ( spl2_82
  <=> ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).

thf(f1225,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_82 ),
    inference(avatar_component_clause,[],[f1224]) ).

thf(f1227,definition,
    ( spl2_83
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_83])],[avatar_definition]) ).

thf(f1228,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_83 ),
    inference(avatar_component_clause,[],[f1227]) ).

thf(f1232,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | spl2_63 ),
    inference(constrained_superposition,[],[f982,f81]) ).

thf(f1236,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_63 ),
    inference(trivial_inequality_removal,[],[f1232]) ).

thf(f1239,plain,
    ( spl2_73
    | spl2_63 ),
    inference(avatar_split_clause,[],[f1236,f981,f1045]) ).

thf(f1262,definition,
    ( spl2_84
  <=> ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
          = $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).

thf(f1263,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_84 ),
    inference(avatar_component_clause,[],[f1262]) ).

thf(f1265,definition,
    ( spl2_85
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 )
        | ( ( r @ X1 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).

thf(f1266,plain,
    ( ! [X1: $i] :
        ( ( ( r @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_85 ),
    inference(avatar_component_clause,[],[f1265]) ).

thf(f1268,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | spl2_60 ),
    inference(constrained_superposition,[],[f972,f170]) ).

thf(f1272,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_60 ),
    inference(trivial_inequality_removal,[],[f1268]) ).

thf(f1275,definition,
    ( spl2_86
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_86])],[avatar_definition]) ).

thf(f1276,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_86 ),
    inference(avatar_component_clause,[],[f1275]) ).

thf(f1278,plain,
    ( spl2_86
    | spl2_60 ),
    inference(avatar_split_clause,[],[f1272,f971,f1275]) ).

thf(f1296,plain,
    ( spl2_60
    | ~ spl2_43
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f1040,f994,f484,f971]) ).

thf(f1337,definition,
    ( spl2_89
  <=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_89])],[avatar_definition]) ).

thf(f1338,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_89 ),
    inference(avatar_component_clause,[],[f1337]) ).

thf(f1353,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f396,f1276]) ).

thf(f1354,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f166,f1276]) ).

thf(f1356,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f30,f1276]) ).

thf(f1357,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f1354]) ).

thf(f1359,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f1353]) ).

thf(f1360,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f1356]) ).

thf(f1363,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_68
    | ~ spl2_86 ),
    inference(forward_subsumption_resolution,[],[f1359,f999]) ).

thf(f1374,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_4
    | spl2_8
    | ~ spl2_26
    | ~ spl2_39 ),
    inference(constrained_superposition,[],[f1212,f245]) ).

thf(f1381,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_4
    | spl2_8
    | ~ spl2_26
    | ~ spl2_39 ),
    inference(trivial_inequality_removal,[],[f1374]) ).

thf(f1383,plain,
    ( $false
    | ~ spl2_4
    | spl2_8
    | ~ spl2_26
    | ~ spl2_39 ),
    inference(forward_subsumption_resolution,[],[f1381,f99]) ).

thf(f1384,plain,
    ( ~ spl2_4
    | spl2_8
    | ~ spl2_26
    | ~ spl2_39 ),
    inference(avatar_contradiction_clause,[],[f1383]) ).

thf(f1385,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_20 ),
    inference(constrained_superposition,[],[f205,f81]) ).

thf(f1386,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_20 ),
    inference(constrained_superposition,[],[f205,f50]) ).

thf(f1387,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_20 ),
    inference(constrained_superposition,[],[f205,f52]) ).

thf(f1388,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_20 ),
    inference(constrained_superposition,[],[f205,f27]) ).

thf(f1389,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_20 ),
    inference(trivial_inequality_removal,[],[f1386]) ).

thf(f1390,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_20 ),
    inference(trivial_inequality_removal,[],[f1388]) ).

thf(f1391,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_20 ),
    inference(trivial_inequality_removal,[],[f1385]) ).

thf(f1392,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_20 ),
    inference(trivial_inequality_removal,[],[f1387]) ).

thf(f1398,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f985,f27]) ).

thf(f1401,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
          = $true ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f1398]) ).

thf(f1418,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_39
    | ~ spl2_68
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f1363,f1276]) ).

thf(f1425,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_68
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f1418]) ).

thf(f1426,plain,
    ( spl2_43
    | ~ spl2_39
    | ~ spl2_68
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f1425,f1275,f998,f385,f484]) ).

thf(f1428,definition,
    ( spl2_92
  <=> ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_92])],[avatar_definition]) ).

thf(f1429,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_92 ),
    inference(avatar_component_clause,[],[f1428]) ).

thf(f1436,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( ( r @ ( sK0 @ X0 ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_38 ),
    inference(constrained_superposition,[],[f383,f52]) ).

thf(f1437,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true ) )
    | ~ spl2_38 ),
    inference(constrained_superposition,[],[f383,f170]) ).

thf(f1442,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( r @ ( sK0 @ X0 ) @ sK1 )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_38 ),
    inference(trivial_inequality_removal,[],[f1436]) ).

thf(f1444,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_38 ),
    inference(trivial_inequality_removal,[],[f1437]) ).

thf(f1446,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_40 ),
    inference(constrained_superposition,[],[f390,f52]) ).

thf(f1447,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_40 ),
    inference(constrained_superposition,[],[f390,f170]) ).

thf(f1452,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_40 ),
    inference(trivial_inequality_removal,[],[f1446]) ).

thf(f1453,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_40 ),
    inference(trivial_inequality_removal,[],[f1447]) ).

thf(f1459,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_68 ),
    inference(constrained_superposition,[],[f1218,f171]) ).

thf(f1466,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_68 ),
    inference(trivial_inequality_removal,[],[f1459]) ).

thf(f1472,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | spl2_39 ),
    inference(avatar_component_clause,[],[f385]) ).

thf(f1474,definition,
    ( spl2_94
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_94])],[avatar_definition]) ).

thf(f1475,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_94 ),
    inference(avatar_component_clause,[],[f1474]) ).

thf(f1476,plain,
    ( ~ spl2_39
    | spl2_76
    | spl2_94
    | ~ spl2_68 ),
    inference(avatar_split_clause,[],[f1466,f998,f1474,f1058,f385]) ).

thf(f1493,definition,
    ( spl2_95
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_95])],[avatar_definition]) ).

thf(f1494,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_95 ),
    inference(avatar_component_clause,[],[f1493]) ).

thf(f1497,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_95 ),
    inference(constrained_superposition,[],[f1494,f52]) ).

thf(f1499,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_95 ),
    inference(constrained_superposition,[],[f1494,f721]) ).

thf(f1502,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_95 ),
    inference(trivial_inequality_removal,[],[f1499]) ).

thf(f1508,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_95 ),
    inference(trivial_inequality_removal,[],[f1497]) ).

thf(f1509,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_20
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f1390,f1225]) ).

thf(f1510,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_20 ),
    inference(constrained_superposition,[],[f1390,f50]) ).

thf(f1512,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true != $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_20 ),
    inference(constrained_superposition,[],[f1390,f27]) ).

thf(f1514,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_20 ),
    inference(trivial_inequality_removal,[],[f1512]) ).

thf(f1515,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_20
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f1509]) ).

thf(f1516,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ~ spl2_20 ),
    inference(trivial_inequality_removal,[],[f1510]) ).

thf(f1517,plain,
    ( spl2_51
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f1514,f204,f635]) ).

thf(f1519,definition,
    ( spl2_96
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).

thf(f1520,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_96 ),
    inference(avatar_component_clause,[],[f1519]) ).

thf(f1521,plain,
    ( spl2_74
    | spl2_96
    | ~ spl2_20
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f1515,f1224,f204,f1519,f1048]) ).

thf(f1523,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f529,f1520]) ).

thf(f1526,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f30,f1520]) ).

thf(f1528,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f1523]) ).

thf(f1529,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f1526]) ).

thf(f1542,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f1038,f1520]) ).

thf(f1553,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f1542]) ).

thf(f1565,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f1360,f82]) ).

thf(f1568,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f1360,f171]) ).

thf(f1573,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f1568]) ).

thf(f1577,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f1565]) ).

thf(f1582,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_67
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f1529,f995]) ).

thf(f1585,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f1529,f1520]) ).

thf(f1592,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f1582]) ).

thf(f1597,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f1585]) ).

thf(f1605,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true )
      | ( $true != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
       != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f953,f721]) ).

thf(f1608,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    inference(constrained_superposition,[],[f953,f81]) ).

thf(f1613,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f1608]) ).

thf(f1615,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true ) ),
    inference(duplicate_literal_removal,[],[f1605]) ).

thf(f1616,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f1615]) ).

thf(f1621,definition,
    ( spl2_97
  <=> ! [X1: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_97])],[avatar_definition]) ).

thf(f1622,plain,
    ( ! [X1: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true )
    | ~ spl2_97 ),
    inference(avatar_component_clause,[],[f1621]) ).

thf(f1624,definition,
    ( spl2_98
  <=> ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_98])],[avatar_definition]) ).

thf(f1625,plain,
    ( ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        = $true )
    | ~ spl2_98 ),
    inference(avatar_component_clause,[],[f1624]) ).

thf(f1627,definition,
    ( spl2_99
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_99])],[avatar_definition]) ).

thf(f1628,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_99 ),
    inference(avatar_component_clause,[],[f1627]) ).

thf(f1629,plain,
    ( spl2_97
    | spl2_98
    | ~ spl2_99 ),
    inference(avatar_split_clause,[],[f1616,f1627,f1624,f1621]) ).

thf(f1631,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_76 ),
    inference(avatar_component_clause,[],[f1058]) ).

thf(f1633,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_89 ),
    inference(constrained_superposition,[],[f1338,f51]) ).

thf(f1635,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_89 ),
    inference(trivial_inequality_removal,[],[f1633]) ).

thf(f1642,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( sK1 = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_20 ),
    inference(constrained_superposition,[],[f1392,f52]) ).

thf(f1645,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_20 ),
    inference(trivial_inequality_removal,[],[f1642]) ).

thf(f1669,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_51
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f1038,f636]) ).

thf(f1673,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_51
    | ~ spl2_67 ),
    inference(trivial_inequality_removal,[],[f1669]) ).

thf(f1683,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f1401,f52]) ).

thf(f1684,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
          = $true ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f1401,f27]) ).

thf(f1685,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f1684]) ).

thf(f1688,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true )
        | ( sK1 = X0 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ X0 ) ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f1683]) ).

thf(f1689,plain,
    ( spl2_84
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1685,f984,f1262]) ).

thf(f1848,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_40 ),
    inference(constrained_superposition,[],[f1452,f52]) ).

thf(f1850,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_40 ),
    inference(trivial_inequality_removal,[],[f1848]) ).

thf(f1877,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( sK1 = X0 )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( sK1 = X0 )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_40 ),
    inference(constrained_superposition,[],[f1850,f52]) ).

thf(f1880,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( sK1 = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_40 ),
    inference(duplicate_literal_removal,[],[f1877]) ).

thf(f1881,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( sK1 = X0 )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_40 ),
    inference(trivial_inequality_removal,[],[f1880]) ).

thf(f1964,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        = $true )
      | ( $true != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
       != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
       != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(constrained_superposition,[],[f95,f722]) ).

thf(f1966,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
       != $true )
      | ( $true != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
      | ( ( r @ sK1 @ X1 )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f58,f722]) ).

thf(f1971,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
       != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f31,f722]) ).

thf(f1982,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
       != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        = $true )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f1964]) ).

thf(f1983,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X2 )
       != $true )
      | ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f1971]) ).

thf(f1984,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ sK1 @ X1 )
       != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        = $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
       != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f1966]) ).

thf(f1987,definition,
    ( spl2_101
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_101])],[avatar_definition]) ).

thf(f1988,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl2_101 ),
    inference(avatar_component_clause,[],[f1987]) ).

thf(f1989,plain,
    ( spl2_101
    | spl2_73 ),
    inference(avatar_split_clause,[],[f1982,f1045,f1987]) ).

thf(f2069,plain,
    ( ! [X0: $i] :
        ( ( sK1
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( sK1 = X0 )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f591,f50]) ).

thf(f2075,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( sK1
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f2069]) ).

thf(f2082,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( sK0 @ X2 )
        = X0 )
      | ( $true != $true )
      | ( $true
        = ( b @ X1 @ sK1 ) )
      | ( sK1 = X0 )
      | ( ( b @ X0 @ sK1 )
        = $true )
      | ( ( b @ X0 @ ( sK0 @ X2 ) )
        = $true )
      | ( ( b @ sK1 @ ( sK0 @ X2 ) )
        = $true )
      | ( ( r @ X1 @ X0 )
       != $true )
      | ( sK1 = X1 ) ),
    inference(constrained_superposition,[],[f578,f27]) ).

thf(f2085,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ X1 @ X0 )
       != $true )
      | ( ( b @ sK1 @ ( sK0 @ X2 ) )
        = $true )
      | ( sK1 = X0 )
      | ( $true
        = ( b @ X1 @ sK1 ) )
      | ( sK1 = X1 )
      | ( ( sK0 @ X2 )
        = X0 )
      | ( ( b @ X0 @ sK1 )
        = $true )
      | ( ( b @ X0 @ ( sK0 @ X2 ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f2082]) ).

thf(f2106,plain,
    ( spl2_77
    | ~ spl2_19
    | ~ spl2_67
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f1592,f1519,f994,f200,f1061]) ).

thf(f2121,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_75
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f1053,f1520]) ).

thf(f2142,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_75
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f2121]) ).

thf(f2145,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_49 ),
    inference(avatar_component_clause,[],[f516]) ).

thf(f2147,definition,
    ( spl2_103
  <=> ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_103])],[avatar_definition]) ).

thf(f2148,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_103 ),
    inference(avatar_component_clause,[],[f2147]) ).

thf(f2154,plain,
    ( spl2_103
    | ~ spl2_75
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f2142,f1519,f1052,f2147]) ).

thf(f2155,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_86
    | ~ spl2_103 ),
    inference(constrained_superposition,[],[f2148,f1276]) ).

thf(f2166,plain,
    ( ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_40
    | ~ spl2_103 ),
    inference(constrained_superposition,[],[f2148,f1881]) ).

thf(f2171,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_40
    | ~ spl2_103 ),
    inference(trivial_inequality_removal,[],[f2166]) ).

thf(f2180,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_86
    | ~ spl2_103 ),
    inference(trivial_inequality_removal,[],[f2155]) ).

thf(f2187,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_19
    | ~ spl2_40
    | ~ spl2_103 ),
    inference(forward_subsumption_resolution,[],[f2171,f201]) ).

thf(f2188,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_86
    | ~ spl2_103 ),
    inference(forward_subsumption_resolution,[],[f2180,f201]) ).

thf(f2189,plain,
    ( ~ spl2_19
    | ~ spl2_86
    | ~ spl2_103 ),
    inference(avatar_contradiction_clause,[],[f2188]) ).

thf(f2191,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_19
    | ~ spl2_40
    | ~ spl2_103 ),
    inference(forward_subsumption_resolution,[],[f2187,f41]) ).

thf(f2193,plain,
    ( spl2_27
    | spl2_78
    | spl2_73
    | ~ spl2_19
    | ~ spl2_40
    | ~ spl2_103 ),
    inference(avatar_split_clause,[],[f2191,f2147,f389,f200,f1045,f1067,f247]) ).

thf(f2201,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_37 ),
    inference(constrained_superposition,[],[f357,f83]) ).

thf(f2215,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( sK1 = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
         != $true ) )
    | ~ spl2_37 ),
    inference(trivial_inequality_removal,[],[f2201]) ).

thf(f2236,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(constrained_superposition,[],[f1062,f999]) ).

thf(f2254,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(duplicate_literal_removal,[],[f2236]) ).

thf(f2255,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(trivial_inequality_removal,[],[f2254]) ).

thf(f2266,definition,
    ( spl2_104
  <=> ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).

thf(f2267,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_104 ),
    inference(avatar_component_clause,[],[f2266]) ).

thf(f2270,plain,
    ( ( $true != $true )
    | ~ spl2_4
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(constrained_superposition,[],[f2255,f99]) ).

thf(f2271,plain,
    ( ( $true != $true )
    | ~ spl2_67
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(constrained_superposition,[],[f2255,f995]) ).

thf(f2275,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(trivial_inequality_removal,[],[f2270]) ).

thf(f2276,plain,
    ( ~ spl2_4
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(avatar_contradiction_clause,[],[f2275]) ).

thf(f2280,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(trivial_inequality_removal,[],[f2271]) ).

thf(f2281,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(avatar_contradiction_clause,[],[f2280]) ).

thf(f2282,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_78
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f1529,f1068]) ).

thf(f2285,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f1218,f1068]) ).

thf(f2289,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_78
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f2282]) ).

thf(f2290,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(trivial_inequality_removal,[],[f2285]) ).

thf(f2297,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | spl2_8
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(forward_subsumption_resolution,[],[f2290,f118]) ).

thf(f2305,definition,
    ( spl2_105
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).

thf(f2306,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_105 ),
    inference(avatar_component_clause,[],[f2305]) ).

thf(f2307,plain,
    ( spl2_105
    | ~ spl2_49
    | ~ spl2_78
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f2289,f1519,f1067,f516,f2305]) ).

thf(f2312,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_15
    | ~ spl2_27 ),
    inference(constrained_superposition,[],[f188,f248]) ).

thf(f2313,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_20
    | ~ spl2_27 ),
    inference(constrained_superposition,[],[f205,f248]) ).

thf(f2314,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_24
    | ~ spl2_27 ),
    inference(constrained_superposition,[],[f230,f248]) ).

thf(f2330,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_27
    | spl2_60 ),
    inference(constrained_superposition,[],[f972,f248]) ).

thf(f2332,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_27
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f995,f248]) ).

thf(f2333,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_27
    | ~ spl2_68 ),
    inference(constrained_superposition,[],[f999,f248]) ).

thf(f2335,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_19
    | ~ spl2_27 ),
    inference(constrained_superposition,[],[f1054,f248]) ).

thf(f2336,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_27
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f1068,f248]) ).

thf(f2342,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_27
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f1276,f248]) ).

thf(f2343,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_27
    | spl2_89 ),
    inference(constrained_superposition,[],[f1338,f248]) ).

thf(f2346,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_27
    | spl2_39 ),
    inference(constrained_superposition,[],[f1472,f248]) ).

thf(f2352,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_27
    | spl2_76 ),
    inference(constrained_superposition,[],[f1631,f248]) ).

thf(f2369,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_27 ),
    inference(constrained_superposition,[],[f82,f248]) ).

thf(f2385,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_27
    | ~ spl2_38 ),
    inference(constrained_superposition,[],[f1444,f248]) ).

thf(f2386,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_27
    | ~ spl2_40 ),
    inference(constrained_superposition,[],[f1453,f248]) ).

thf(f2436,plain,
    ( ! [X0: $i] :
        ( ( r @ ( sK0 @ sK1 ) @ X0 )
       != $true )
    | ~ spl2_20
    | ~ spl2_27 ),
    inference(duplicate_literal_removal,[],[f2313]) ).

thf(f2448,definition,
    ( spl2_106
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition]) ).

thf(f2449,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_106 ),
    inference(avatar_component_clause,[],[f2448]) ).

thf(f2451,definition,
    ( spl2_107
  <=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_107])],[avatar_definition]) ).

thf(f2452,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_107 ),
    inference(avatar_component_clause,[],[f2451]) ).

thf(f2454,plain,
    ( spl2_13
    | ~ spl2_20
    | ~ spl2_27 ),
    inference(avatar_split_clause,[],[f2436,f247,f204,f153]) ).

thf(f2455,plain,
    ( $false
    | spl2_8
    | ~ spl2_27
    | spl2_39 ),
    inference(forward_subsumption_resolution,[],[f2346,f118]) ).

thf(f2456,plain,
    ( spl2_8
    | ~ spl2_27
    | spl2_39 ),
    inference(avatar_contradiction_clause,[],[f2455]) ).

thf(f2457,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_24
    | ~ spl2_27
    | ~ spl2_40 ),
    inference(forward_subsumption_resolution,[],[f2386,f230]) ).

thf(f2459,plain,
    ( $false
    | spl2_19
    | ~ spl2_27
    | ~ spl2_67 ),
    inference(forward_subsumption_resolution,[],[f2332,f1054]) ).

thf(f2460,plain,
    ( spl2_19
    | ~ spl2_27
    | ~ spl2_67 ),
    inference(avatar_contradiction_clause,[],[f2459]) ).

thf(f2466,definition,
    ( spl2_109
  <=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_109])],[avatar_definition]) ).

thf(f2467,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_109 ),
    inference(avatar_component_clause,[],[f2466]) ).

thf(f2470,definition,
    ( spl2_110
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).

thf(f2471,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_110 ),
    inference(avatar_component_clause,[],[f2470]) ).

thf(f2474,definition,
    ( spl2_111
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_111])],[avatar_definition]) ).

thf(f2475,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_111 ),
    inference(avatar_component_clause,[],[f2474]) ).

thf(f2477,definition,
    ( spl2_112
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_112])],[avatar_definition]) ).

thf(f2478,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_112 ),
    inference(avatar_component_clause,[],[f2477]) ).

thf(f2480,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_12
    | ~ spl2_27 ),
    inference(forward_subsumption_resolution,[],[f2369,f151]) ).

thf(f2481,plain,
    ( $false
    | spl2_12
    | ~ spl2_24
    | ~ spl2_27 ),
    inference(forward_subsumption_resolution,[],[f2314,f151]) ).

thf(f2482,plain,
    ( spl2_12
    | ~ spl2_24
    | ~ spl2_27 ),
    inference(avatar_contradiction_clause,[],[f2481]) ).

thf(f2483,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_27
    | spl2_76 ),
    inference(forward_subsumption_resolution,[],[f2352,f230]) ).

thf(f2484,plain,
    ( ~ spl2_24
    | ~ spl2_27
    | spl2_76 ),
    inference(avatar_contradiction_clause,[],[f2483]) ).

thf(f2489,definition,
    ( spl2_113
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_113])],[avatar_definition]) ).

thf(f2490,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_113 ),
    inference(avatar_component_clause,[],[f2489]) ).

thf(f2493,plain,
    ( spl2_26
    | ~ spl2_27
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f2342,f1275,f247,f244]) ).

thf(f2497,plain,
    ( $false
    | ~ spl2_4
    | spl2_19
    | ~ spl2_27 ),
    inference(forward_subsumption_resolution,[],[f2335,f99]) ).

thf(f2498,plain,
    ( ~ spl2_4
    | spl2_19
    | ~ spl2_27 ),
    inference(avatar_contradiction_clause,[],[f2497]) ).

thf(f2500,definition,
    ( spl2_114
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_114])],[avatar_definition]) ).

thf(f2501,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X1 @ X0 )
         != $true )
        | ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_114 ),
    inference(avatar_component_clause,[],[f2500]) ).

thf(f2504,definition,
    ( spl2_115
  <=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_115])],[avatar_definition]) ).

thf(f2505,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | spl2_115 ),
    inference(avatar_component_clause,[],[f2504]) ).

thf(f2508,plain,
    ( spl2_6
    | ~ spl2_15
    | ~ spl2_27 ),
    inference(avatar_split_clause,[],[f2312,f247,f187,f105]) ).

thf(f2509,plain,
    ( ~ spl2_33
    | ~ spl2_27
    | spl2_89 ),
    inference(avatar_split_clause,[],[f2343,f1337,f247,f317]) ).

thf(f2510,plain,
    ( ~ spl2_21
    | ~ spl2_27
    | spl2_60 ),
    inference(avatar_split_clause,[],[f2330,f971,f247,f207]) ).

thf(f2511,plain,
    ( spl2_49
    | ~ spl2_27
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f2336,f1067,f247,f516]) ).

thf(f2512,plain,
    ( $false
    | ~ spl2_27
    | spl2_39
    | ~ spl2_68 ),
    inference(forward_subsumption_resolution,[],[f2333,f1472]) ).

thf(f2513,plain,
    ( ~ spl2_27
    | spl2_39
    | ~ spl2_68 ),
    inference(avatar_contradiction_clause,[],[f2512]) ).

thf(f2514,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_24
    | ~ spl2_27
    | ~ spl2_38 ),
    inference(forward_subsumption_resolution,[],[f2385,f230]) ).

thf(f2515,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_24
    | ~ spl2_27
    | ~ spl2_40 ),
    inference(forward_subsumption_resolution,[],[f2457,f81]) ).

thf(f2516,plain,
    ( spl2_109
    | spl2_12
    | ~ spl2_27 ),
    inference(avatar_split_clause,[],[f2480,f247,f150,f2466]) ).

thf(f2518,plain,
    ( spl2_26
    | ~ spl2_16
    | ~ spl2_24
    | ~ spl2_27
    | ~ spl2_38 ),
    inference(avatar_split_clause,[],[f2514,f382,f247,f229,f190,f244]) ).

thf(f2519,plain,
    ( spl2_26
    | ~ spl2_24
    | ~ spl2_27
    | ~ spl2_40 ),
    inference(avatar_split_clause,[],[f2515,f389,f247,f229,f244]) ).

thf(f2522,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_37
    | ~ spl2_49 ),
    inference(constrained_superposition,[],[f357,f2145]) ).

thf(f2527,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_37
    | ~ spl2_49 ),
    inference(trivial_inequality_removal,[],[f2522]) ).

thf(f2532,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | spl2_8
    | ~ spl2_49
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f2297,f2145]) ).

thf(f2537,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | spl2_8
    | ~ spl2_49
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(trivial_inequality_removal,[],[f2532]) ).

thf(f2539,plain,
    ( spl2_43
    | spl2_8
    | ~ spl2_49
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f2537,f1067,f998,f516,f111,f484]) ).

thf(f2541,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_20
    | spl2_39 ),
    inference(forward_subsumption_resolution,[],[f1516,f1472]) ).

thf(f2543,definition,
    ( spl2_116
  <=> ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_116])],[avatar_definition]) ).

thf(f2544,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | spl2_116 ),
    inference(avatar_component_clause,[],[f2543]) ).

thf(f2546,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_20
    | spl2_39 ),
    inference(forward_subsumption_resolution,[],[f1389,f1472]) ).

thf(f2548,definition,
    ( spl2_117
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_117])],[avatar_definition]) ).

thf(f2549,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_117 ),
    inference(avatar_component_clause,[],[f2548]) ).

thf(f2553,definition,
    ( spl2_118
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).

thf(f2554,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) )
    | ~ spl2_118 ),
    inference(avatar_component_clause,[],[f2553]) ).

thf(f2555,plain,
    ( ~ spl2_8
    | ~ spl2_33
    | spl2_118
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f583,f229,f2553,f317,f111]) ).

thf(f2556,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ~ spl2_116 ),
    inference(avatar_component_clause,[],[f2543]) ).

thf(f2561,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( sK1 = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true ) )
    | ~ spl2_24 ),
    inference(forward_subsumption_resolution,[],[f2075,f41]) ).

thf(f2562,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_109 ),
    inference(avatar_component_clause,[],[f2466]) ).

thf(f2563,plain,
    ( ~ spl2_109
    | ~ spl2_116
    | ~ spl2_37
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f2527,f516,f356,f2543,f2466]) ).

thf(f2565,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ~ spl2_20
    | spl2_39 ),
    inference(forward_subsumption_resolution,[],[f2541,f41]) ).

thf(f2566,plain,
    ( ~ spl2_8
    | ~ spl2_20
    | spl2_39 ),
    inference(avatar_split_clause,[],[f2546,f385,f204,f111]) ).

thf(f2568,definition,
    ( spl2_120
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( sK1 = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).

thf(f2569,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_120 ),
    inference(avatar_component_clause,[],[f2568]) ).

thf(f2573,plain,
    ( spl2_116
    | ~ spl2_20
    | spl2_39 ),
    inference(avatar_split_clause,[],[f2565,f385,f204,f2543]) ).

thf(f2575,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( $true != $true )
    | spl2_8 ),
    inference(constrained_superposition,[],[f112,f50]) ).

thf(f2577,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | spl2_8 ),
    inference(trivial_inequality_removal,[],[f2575]) ).

thf(f2579,plain,
    ( spl2_116
    | spl2_8 ),
    inference(avatar_split_clause,[],[f2577,f111,f2543]) ).

thf(f2582,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f30,f2556]) ).

thf(f2583,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f2582]) ).

thf(f2586,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_48
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f514,f1520]) ).

thf(f2608,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_48
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f2586]) ).

thf(f2609,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_48
    | ~ spl2_86
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f2608,f1276]) ).

thf(f2616,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_48
    | ~ spl2_68
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f2608,f999]) ).

thf(f2628,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_48
    | ~ spl2_68
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f2616]) ).

thf(f2634,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_48
    | ~ spl2_86
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f2609]) ).

thf(f2637,plain,
    ( $false
    | ~ spl2_48
    | ~ spl2_68
    | ~ spl2_96
    | ~ spl2_116 ),
    inference(forward_subsumption_resolution,[],[f2628,f2556]) ).

thf(f2638,plain,
    ( ~ spl2_48
    | ~ spl2_68
    | ~ spl2_96
    | ~ spl2_116 ),
    inference(avatar_contradiction_clause,[],[f2637]) ).

thf(f2639,plain,
    ( $false
    | ~ spl2_48
    | ~ spl2_49
    | ~ spl2_86
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f2634,f2145]) ).

thf(f2640,plain,
    ( ~ spl2_48
    | ~ spl2_49
    | ~ spl2_86
    | ~ spl2_96 ),
    inference(avatar_contradiction_clause,[],[f2639]) ).

thf(f2646,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_86
    | ~ spl2_105 ),
    inference(constrained_superposition,[],[f2306,f1276]) ).

thf(f2677,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_86
    | ~ spl2_105 ),
    inference(trivial_inequality_removal,[],[f2646]) ).

thf(f2681,definition,
    ( spl2_121
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).

thf(f2682,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_121 ),
    inference(avatar_component_clause,[],[f2681]) ).

thf(f2694,plain,
    ( spl2_121
    | ~ spl2_86
    | ~ spl2_105 ),
    inference(avatar_split_clause,[],[f2677,f2305,f1275,f2681]) ).

thf(f2695,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f2682,f171]) ).

thf(f2696,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_96
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f2682,f1520]) ).

thf(f2697,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( sK1 = X0 )
        | ( $true != $true ) )
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f2682,f83]) ).

thf(f2707,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f2695]) ).

thf(f2709,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_96
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f2696]) ).

thf(f2711,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f2697]) ).

thf(f2722,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_96
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f2709,f82]) ).

thf(f2724,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_96
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f2722]) ).

thf(f2754,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f2707,f82]) ).

thf(f2757,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f2754]) ).

thf(f2991,definition,
    ( spl2_124
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).

thf(f2992,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_124 ),
    inference(avatar_component_clause,[],[f2991]) ).

thf(f2997,definition,
    ( spl2_125
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_125])],[avatar_definition]) ).

thf(f2998,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
        | ( ( r @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_125 ),
    inference(avatar_component_clause,[],[f2997]) ).

thf(f2999,plain,
    ( spl2_125
    | spl2_68 ),
    inference(avatar_split_clause,[],[f1984,f998,f2997]) ).

thf(f3001,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_73 ),
    inference(avatar_component_clause,[],[f1045]) ).

thf(f3005,definition,
    ( spl2_126
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( sK0 @ sK1 )
          = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_126])],[avatar_definition]) ).

thf(f3006,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_126 ),
    inference(avatar_component_clause,[],[f3005]) ).

thf(f3070,definition,
    ( spl2_127
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).

thf(f3071,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_127 ),
    inference(avatar_component_clause,[],[f3070]) ).

thf(f3078,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f2711,f82]) ).

thf(f3080,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f3078]) ).

thf(f3160,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 )
        | ( $true != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true
         != ( r @ X1 @ sK1 ) )
        | ( sK1 = X0 ) )
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f564,f3080]) ).

thf(f3165,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
         != $true )
        | ( sK1 = X0 )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_15
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f188,f3080]) ).

thf(f3179,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true
         != ( r @ X1 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( sK1 = X0 )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 ) )
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f3160]) ).

thf(f3186,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
         != $true )
        | ( sK1 = X0 )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_15
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f3165]) ).

thf(f3195,definition,
    ( spl2_128
  <=> ! [X1: $i] :
        ( ( $true
         != ( r @ X1 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).

thf(f3196,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( r @ X1 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_128 ),
    inference(avatar_component_clause,[],[f3195]) ).

thf(f3198,definition,
    ( spl2_129
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( sK1 = X0 )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_129])],[avatar_definition]) ).

thf(f3199,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( sK1 = X0 )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_129 ),
    inference(avatar_component_clause,[],[f3198]) ).

thf(f3200,plain,
    ( spl2_128
    | ~ spl2_33
    | spl2_129
    | ~ spl2_121 ),
    inference(avatar_split_clause,[],[f3179,f2681,f3198,f317,f3195]) ).

thf(f3212,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | spl2_33 ),
    inference(constrained_superposition,[],[f318,f51]) ).

thf(f3213,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_33 ),
    inference(constrained_superposition,[],[f318,f27]) ).

thf(f3214,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_33 ),
    inference(trivial_inequality_removal,[],[f3213]) ).

thf(f3215,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_33 ),
    inference(trivial_inequality_removal,[],[f3212]) ).

thf(f3216,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_19
    | spl2_33 ),
    inference(forward_subsumption_resolution,[],[f3214,f1054]) ).

thf(f3217,plain,
    ( $false
    | spl2_19
    | spl2_33 ),
    inference(forward_subsumption_resolution,[],[f3215,f1054]) ).

thf(f3218,plain,
    ( spl2_19
    | spl2_33 ),
    inference(avatar_contradiction_clause,[],[f3217]) ).

thf(f3219,plain,
    ( $false
    | spl2_19
    | spl2_33 ),
    inference(forward_subsumption_resolution,[],[f3216,f41]) ).

thf(f3220,plain,
    ( spl2_19
    | spl2_33 ),
    inference(avatar_contradiction_clause,[],[f3219]) ).

thf(f3226,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f30,f245]) ).

thf(f3229,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f3226]) ).

thf(f3236,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_26
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f3229,f1276]) ).

thf(f3238,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( sK1
          = ( sK0 @ sK1 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_26
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f3229,f1688]) ).

thf(f3249,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_26
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f3236]) ).

thf(f3255,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( sK1
          = ( sK0 @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_26
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f3238]) ).

thf(f3262,definition,
    ( spl2_132
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).

thf(f3263,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_132 ),
    inference(avatar_component_clause,[],[f3262]) ).

thf(f3264,plain,
    ( ~ spl2_73
    | spl2_132
    | ~ spl2_26
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f3249,f1275,f244,f3262,f1045]) ).

thf(f3269,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( sK1
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_26
    | spl2_49
    | ~ spl2_64 ),
    inference(forward_subsumption_resolution,[],[f3255,f517]) ).

thf(f3275,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_26
    | spl2_49
    | ~ spl2_64 ),
    inference(forward_subsumption_resolution,[],[f3269,f41]) ).

thf(f3278,plain,
    ( ~ spl2_73
    | spl2_74
    | spl2_132
    | ~ spl2_26
    | spl2_49
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f3275,f984,f516,f244,f3262,f1048,f1045]) ).

thf(f3284,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_128 ),
    inference(constrained_superposition,[],[f3196,f27]) ).

thf(f3287,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_128 ),
    inference(trivial_inequality_removal,[],[f3284]) ).

thf(f3310,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_15
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f3186,f51]) ).

thf(f3313,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( sK1 = X0 )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_15
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f3310]) ).

thf(f3315,plain,
    ( spl2_129
    | ~ spl2_15
    | ~ spl2_121 ),
    inference(avatar_split_clause,[],[f3313,f2681,f187,f3198]) ).

thf(f3424,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | spl2_76
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f1631,f2757]) ).

thf(f3448,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_76
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f3424]) ).

thf(f3731,definition,
    ( spl2_135
  <=> ! [X1: $i] :
        ( ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_135])],[avatar_definition]) ).

thf(f3732,plain,
    ( ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_135 ),
    inference(avatar_component_clause,[],[f3731]) ).

thf(f3840,definition,
    ( spl2_136
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_136])],[avatar_definition]) ).

thf(f3841,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl2_136 ),
    inference(avatar_component_clause,[],[f3840]) ).

thf(f3843,definition,
    ( spl2_137
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_137])],[avatar_definition]) ).

thf(f3844,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_137 ),
    inference(avatar_component_clause,[],[f3843]) ).

thf(f3865,definition,
    ( spl2_141
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_141])],[avatar_definition]) ).

thf(f3866,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl2_141 ),
    inference(avatar_component_clause,[],[f3865]) ).

thf(f3914,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_86
    | ~ spl2_141 ),
    inference(constrained_superposition,[],[f3866,f1276]) ).

thf(f3929,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = sK1 )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_128
    | ~ spl2_141 ),
    inference(constrained_superposition,[],[f3866,f3287]) ).

thf(f3932,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = sK1 )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( $true != $true ) )
    | ~ spl2_128
    | ~ spl2_141 ),
    inference(duplicate_literal_removal,[],[f3929]) ).

thf(f3933,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = sK1 )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | ~ spl2_128
    | ~ spl2_141 ),
    inference(trivial_inequality_removal,[],[f3932]) ).

thf(f3940,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_86
    | ~ spl2_141 ),
    inference(duplicate_literal_removal,[],[f3914]) ).

thf(f3941,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
    | ~ spl2_86
    | ~ spl2_141 ),
    inference(trivial_inequality_removal,[],[f3940]) ).

thf(f3959,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | ~ spl2_128
    | ~ spl2_141 ),
    inference(forward_subsumption_resolution,[],[f3933,f41]) ).

thf(f3967,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | spl2_68
    | ~ spl2_128
    | ~ spl2_141 ),
    inference(forward_subsumption_resolution,[],[f3959,f1190]) ).

thf(f3973,definition,
    ( spl2_152
  <=> ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_152])],[avatar_definition]) ).

thf(f3974,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
    | ~ spl2_152 ),
    inference(avatar_component_clause,[],[f3973]) ).

thf(f3978,plain,
    ( spl2_74
    | spl2_152
    | spl2_68
    | ~ spl2_128
    | ~ spl2_141 ),
    inference(avatar_split_clause,[],[f3967,f3865,f3195,f998,f3973,f1048]) ).

thf(f3989,plain,
    ( spl2_152
    | ~ spl2_86
    | ~ spl2_141 ),
    inference(avatar_split_clause,[],[f3941,f3865,f1275,f3973]) ).

thf(f3991,plain,
    ( ( $true != $true )
    | ~ spl2_96
    | ~ spl2_152 ),
    inference(constrained_superposition,[],[f3974,f1520]) ).

thf(f3998,plain,
    ( ( $true != $true )
    | ~ spl2_26
    | ~ spl2_152 ),
    inference(constrained_superposition,[],[f3974,f245]) ).

thf(f4003,plain,
    ( $false
    | ~ spl2_96
    | ~ spl2_152 ),
    inference(trivial_inequality_removal,[],[f3991]) ).

thf(f4004,plain,
    ( ~ spl2_96
    | ~ spl2_152 ),
    inference(avatar_contradiction_clause,[],[f4003]) ).

thf(f4015,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_152 ),
    inference(trivial_inequality_removal,[],[f3998]) ).

thf(f4016,plain,
    ( ~ spl2_26
    | ~ spl2_152 ),
    inference(avatar_contradiction_clause,[],[f4015]) ).

thf(f4193,definition,
    ( spl2_157
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_157])],[avatar_definition]) ).

thf(f4194,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_157 ),
    inference(avatar_component_clause,[],[f4193]) ).

thf(f4195,plain,
    ( spl2_82
    | spl2_157
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f1357,f1275,f4193,f1224]) ).

thf(f4196,plain,
    ( spl2_82
    | spl2_76
    | ~ spl2_121 ),
    inference(avatar_split_clause,[],[f3448,f2681,f1058,f1224]) ).

thf(f4201,plain,
    ( spl2_82
    | ~ spl2_96
    | ~ spl2_121 ),
    inference(avatar_split_clause,[],[f2724,f2681,f1519,f1224]) ).

thf(f4596,definition,
    ( spl2_175
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).

thf(f4597,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_175 ),
    inference(avatar_component_clause,[],[f4596]) ).

thf(f4675,definition,
    ( spl2_179
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).

thf(f4676,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_179 ),
    inference(avatar_component_clause,[],[f4675]) ).

thf(f4689,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ X3 @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl2_65 ),
    inference(constrained_superposition,[],[f30,f988]) ).

thf(f4697,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X3 @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl2_65 ),
    inference(trivial_inequality_removal,[],[f4689]) ).

thf(f4808,definition,
    ( spl2_181
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).

thf(f4809,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_181 ),
    inference(avatar_component_clause,[],[f4808]) ).

thf(f4825,definition,
    ( spl2_185
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).

thf(f4826,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_185 ),
    inference(avatar_component_clause,[],[f4825]) ).

thf(f4852,definition,
    ( spl2_191
  <=> ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = ( sK0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).

thf(f4853,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_191 ),
    inference(avatar_component_clause,[],[f4852]) ).

thf(f4859,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_86
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f4826,f1276]) ).

thf(f4862,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_68
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f4826,f999]) ).

thf(f4873,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_68
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f4862]) ).

thf(f4875,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_86
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f4859]) ).

thf(f4885,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_68
    | ~ spl2_185 ),
    inference(forward_subsumption_resolution,[],[f4873,f995]) ).

thf(f4886,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | ~ spl2_185 ),
    inference(avatar_contradiction_clause,[],[f4885]) ).

thf(f4887,plain,
    ( $false
    | ~ spl2_86
    | ~ spl2_96
    | ~ spl2_185 ),
    inference(forward_subsumption_resolution,[],[f4875,f1520]) ).

thf(f4888,plain,
    ( ~ spl2_86
    | ~ spl2_96
    | ~ spl2_185 ),
    inference(avatar_contradiction_clause,[],[f4887]) ).

thf(f4918,plain,
    ( spl2_4
    | spl2_14 ),
    inference(avatar_split_clause,[],[f162,f157,f98]) ).

thf(f5093,definition,
    ( spl2_196
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_196])],[avatar_definition]) ).

thf(f5094,plain,
    ( ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_196 ),
    inference(avatar_component_clause,[],[f5093]) ).

thf(f5104,definition,
    ( spl2_198
  <=> ! [X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).

thf(f5105,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_198 ),
    inference(avatar_component_clause,[],[f5104]) ).

thf(f5121,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5105,f82]) ).

thf(f5122,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_116
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5105,f2556]) ).

thf(f5129,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_116
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f5122]) ).

thf(f5130,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f5121]) ).

thf(f5131,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_198 ),
    inference(forward_subsumption_resolution,[],[f5129,f99]) ).

thf(f5132,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_198 ),
    inference(avatar_contradiction_clause,[],[f5131]) ).

thf(f5146,definition,
    ( spl2_204
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true
         != ( r @ X1 @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_204])],[avatar_definition]) ).

thf(f5147,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( r @ X1 @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_204 ),
    inference(avatar_component_clause,[],[f5146]) ).

thf(f5158,definition,
    ( spl2_207
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_207])],[avatar_definition]) ).

thf(f5159,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true ) )
    | ~ spl2_207 ),
    inference(avatar_component_clause,[],[f5158]) ).

thf(f5160,plain,
    ( ~ spl2_14
    | spl2_207
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f584,f229,f5158,f157]) ).

thf(f5162,definition,
    ( spl2_208
  <=> ! [X0: $i] :
        ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_208])],[avatar_definition]) ).

thf(f5163,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true )
    | ~ spl2_208 ),
    inference(avatar_component_clause,[],[f5162]) ).

thf(f5201,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_86
    | ~ spl2_196 ),
    inference(constrained_superposition,[],[f5094,f1276]) ).

thf(f5212,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_86
    | ~ spl2_196 ),
    inference(trivial_inequality_removal,[],[f5201]) ).

thf(f5221,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_78 ),
    inference(avatar_component_clause,[],[f1067]) ).

thf(f5223,plain,
    ( ~ spl2_78
    | ~ spl2_86
    | ~ spl2_196 ),
    inference(avatar_split_clause,[],[f5212,f5093,f1275,f1067]) ).

thf(f5224,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | spl2_78 ),
    inference(constrained_superposition,[],[f5221,f82]) ).

thf(f5227,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_78 ),
    inference(trivial_inequality_removal,[],[f5224]) ).

thf(f5241,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true ) )
    | ~ spl2_207 ),
    inference(constrained_superposition,[],[f5159,f52]) ).

thf(f5242,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_207 ),
    inference(constrained_superposition,[],[f5159,f170]) ).

thf(f5244,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( sK0 @ X0 )
          = ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_207 ),
    inference(constrained_superposition,[],[f5159,f27]) ).

thf(f5245,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( sK0 @ X0 )
          = ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_207 ),
    inference(trivial_inequality_removal,[],[f5244]) ).

thf(f5246,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_207 ),
    inference(trivial_inequality_removal,[],[f5242]) ).

thf(f5247,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_207 ),
    inference(trivial_inequality_removal,[],[f5241]) ).

thf(f5331,definition,
    ( spl2_216
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).

thf(f5332,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_216 ),
    inference(avatar_component_clause,[],[f5331]) ).

thf(f5365,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_26 ),
    inference(avatar_component_clause,[],[f244]) ).

thf(f5373,plain,
    ( spl2_26
    | ~ spl2_14
    | ~ spl2_15 ),
    inference(avatar_split_clause,[],[f371,f187,f157,f244]) ).

thf(f5388,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_96
    | ~ spl2_216 ),
    inference(constrained_superposition,[],[f5332,f1520]) ).

thf(f5404,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_96
    | ~ spl2_216 ),
    inference(trivial_inequality_removal,[],[f5388]) ).

thf(f5415,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_67
    | ~ spl2_96
    | ~ spl2_216 ),
    inference(constrained_superposition,[],[f5404,f995]) ).

thf(f5439,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_67
    | ~ spl2_96
    | ~ spl2_216 ),
    inference(trivial_inequality_removal,[],[f5415]) ).

thf(f5444,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_96
    | ~ spl2_116
    | ~ spl2_216 ),
    inference(forward_subsumption_resolution,[],[f5439,f2556]) ).

thf(f5445,plain,
    ( ~ spl2_67
    | ~ spl2_96
    | ~ spl2_116
    | ~ spl2_216 ),
    inference(avatar_contradiction_clause,[],[f5444]) ).

thf(f5493,plain,
    ( spl2_82
    | spl2_78 ),
    inference(avatar_split_clause,[],[f5227,f1067,f1224]) ).

thf(f5494,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_82 ),
    inference(avatar_component_clause,[],[f1224]) ).

thf(f5522,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( X0 = X1 )
        | ( ( b @ X0 @ X1 )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f56,f1225]) ).

thf(f5523,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f31,f1225]) ).

thf(f5524,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f5523]) ).

thf(f5531,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( X0 = X1 )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f5522]) ).

thf(f5550,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_83 ),
    inference(constrained_superposition,[],[f1228,f171]) ).

thf(f5566,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_83 ),
    inference(trivial_inequality_removal,[],[f5550]) ).

thf(f5576,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | spl2_76
    | ~ spl2_83 ),
    inference(forward_subsumption_resolution,[],[f5566,f1631]) ).

thf(f5582,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_26
    | spl2_76
    | ~ spl2_83 ),
    inference(forward_subsumption_resolution,[],[f5576,f245]) ).

thf(f5588,plain,
    ( spl2_104
    | ~ spl2_26
    | spl2_76
    | ~ spl2_83 ),
    inference(avatar_split_clause,[],[f5582,f1227,f1058,f244,f2266]) ).

thf(f5595,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_96
    | ~ spl2_104 ),
    inference(constrained_superposition,[],[f2267,f1520]) ).

thf(f5615,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_96
    | ~ spl2_104 ),
    inference(trivial_inequality_removal,[],[f5595]) ).

thf(f5619,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_96
    | ~ spl2_104 ),
    inference(forward_subsumption_resolution,[],[f5615,f995]) ).

thf(f5620,plain,
    ( ~ spl2_67
    | ~ spl2_96
    | ~ spl2_104 ),
    inference(avatar_contradiction_clause,[],[f5619]) ).

thf(f5624,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_96
    | ~ spl2_157 ),
    inference(constrained_superposition,[],[f4194,f1520]) ).

thf(f5625,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_157 ),
    inference(constrained_superposition,[],[f4194,f171]) ).

thf(f5636,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_96
    | ~ spl2_157 ),
    inference(duplicate_literal_removal,[],[f5624]) ).

thf(f5637,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_96
    | ~ spl2_157 ),
    inference(trivial_inequality_removal,[],[f5636]) ).

thf(f5642,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_157 ),
    inference(duplicate_literal_removal,[],[f5625]) ).

thf(f5643,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_157 ),
    inference(trivial_inequality_removal,[],[f5642]) ).

thf(f5658,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
    | ~ spl2_26
    | ~ spl2_96
    | ~ spl2_157 ),
    inference(forward_subsumption_resolution,[],[f5637,f245]) ).

thf(f5661,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_26
    | ~ spl2_157 ),
    inference(forward_subsumption_resolution,[],[f5643,f245]) ).

thf(f5664,plain,
    ( spl2_152
    | ~ spl2_26
    | ~ spl2_96
    | ~ spl2_157 ),
    inference(avatar_split_clause,[],[f5658,f4193,f1519,f244,f3973]) ).

thf(f5667,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
    | ~ spl2_26
    | spl2_76
    | ~ spl2_157 ),
    inference(forward_subsumption_resolution,[],[f5661,f1631]) ).

thf(f5672,plain,
    ( spl2_152
    | ~ spl2_26
    | spl2_76
    | ~ spl2_157 ),
    inference(avatar_split_clause,[],[f5667,f4193,f1058,f244,f3973]) ).

thf(f5677,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f5524,f722]) ).

thf(f5680,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f5524,f81]) ).

thf(f5681,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f5524,f50]) ).

thf(f5686,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f5680]) ).

thf(f5688,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f5677]) ).

thf(f5689,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f5681]) ).

thf(f5771,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = sK1 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = ( sK0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
         != $true ) )
    | ~ spl2_20
    | ~ spl2_65 ),
    inference(constrained_superposition,[],[f4697,f1645]) ).

thf(f5778,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = sK1 ) )
    | ~ spl2_20
    | ~ spl2_65 ),
    inference(trivial_inequality_removal,[],[f5771]) ).

thf(f5790,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = sK1 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_20
    | ~ spl2_65
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f5778,f1520]) ).

thf(f5802,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
         != $true ) )
    | ~ spl2_20
    | ~ spl2_65
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f5790,f41]) ).

thf(f5822,plain,
    ( spl2_141
    | spl2_191
    | ~ spl2_20
    | ~ spl2_65
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f5802,f1519,f987,f204,f4852,f3865]) ).

thf(f5833,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f985,f722]) ).

thf(f5835,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( sK1 = X0 )
        | ( $true != $true ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f985,f168]) ).

thf(f5836,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f985,f81]) ).

thf(f5840,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f5833]) ).

thf(f5842,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f5835]) ).

thf(f5843,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f5836]) ).

thf(f5847,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = sK1 )
        | ( $true != $true ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f5840,f52]) ).

thf(f5849,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = sK1 )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f5847]) ).

thf(f5851,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
    | ~ spl2_64 ),
    inference(forward_subsumption_resolution,[],[f5849,f41]) ).

thf(f5853,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ X0 ) )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) )
    | ~ spl2_204 ),
    inference(constrained_superposition,[],[f5147,f50]) ).

thf(f5854,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ X0 ) )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) )
    | ~ spl2_204 ),
    inference(trivial_inequality_removal,[],[f5853]) ).

thf(f5872,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_7
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5130,f109]) ).

thf(f5879,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_7
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f5872]) ).

thf(f5881,plain,
    ( spl2_127
    | ~ spl2_7
    | ~ spl2_198 ),
    inference(avatar_split_clause,[],[f5879,f5104,f108,f3070]) ).

thf(f5885,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f30,f99]) ).

thf(f5886,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f5885]) ).

thf(f5892,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
         != $true ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f5886,f82]) ).

thf(f5893,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f5886,f2556]) ).

thf(f5897,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f5892]) ).

thf(f5900,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f5893]) ).

thf(f5919,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f5897,f1276]) ).

thf(f5963,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f5919]) ).

thf(f5969,definition,
    ( spl2_232
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).

thf(f5970,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) ) )
    | ~ spl2_232 ),
    inference(avatar_component_clause,[],[f5969]) ).

thf(f5997,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ X0 ) )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_85 ),
    inference(constrained_superposition,[],[f1266,f52]) ).

thf(f5998,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_85 ),
    inference(constrained_superposition,[],[f1266,f81]) ).

thf(f6001,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_85 ),
    inference(trivial_inequality_removal,[],[f5998]) ).

thf(f6002,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ X0 ) )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_85 ),
    inference(trivial_inequality_removal,[],[f5997]) ).

thf(f6079,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
          = $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = ( sK0 @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_38
    | ~ spl2_232 ),
    inference(constrained_superposition,[],[f1444,f5970]) ).

thf(f6119,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_38
    | ~ spl2_232 ),
    inference(trivial_inequality_removal,[],[f6079]) ).

thf(f6142,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
          = $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = ( sK0 @ sK1 ) ) )
    | ~ spl2_38
    | ~ spl2_232 ),
    inference(forward_subsumption_resolution,[],[f6119,f50]) ).

thf(f6329,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( sK1 = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f5842,f52]) ).

thf(f6331,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f6329]) ).

thf(f6334,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_64 ),
    inference(forward_subsumption_resolution,[],[f6331,f41]) ).

thf(f6348,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true )
        | ( sK1 = X0 )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_207 ),
    inference(constrained_superposition,[],[f5247,f52]) ).

thf(f6350,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( sK1 = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_207 ),
    inference(trivial_inequality_removal,[],[f6348]) ).

thf(f6414,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( sK1
          = ( sK0 @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_4
    | ~ spl2_85 ),
    inference(constrained_superposition,[],[f5897,f6002]) ).

thf(f6417,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( sK1
          = ( sK0 @ X0 ) ) )
    | ~ spl2_4
    | ~ spl2_85 ),
    inference(trivial_inequality_removal,[],[f6414]) ).

thf(f6425,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_85 ),
    inference(forward_subsumption_resolution,[],[f6417,f41]) ).

thf(f6430,definition,
    ( spl2_238
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_238])],[avatar_definition]) ).

thf(f6431,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_238 ),
    inference(avatar_component_clause,[],[f6430]) ).

thf(f6432,plain,
    ( spl2_135
    | spl2_238
    | ~ spl2_4
    | ~ spl2_85 ),
    inference(avatar_split_clause,[],[f6425,f1265,f98,f6430,f3731]) ).

thf(f6535,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
        | ( ( b @ X3 @ X2 )
         != $true )
        | ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f30,f5851]) ).

thf(f6536,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X3 @ X2 )
         != $true )
        | ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
        | ( ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f6535]) ).

thf(f6669,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) )
    | ~ spl2_82 ),
    inference(extensionality_resolution,[],[f5531,f41]) ).

thf(f6677,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f5531,f51]) ).

thf(f6683,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
          = $true ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f6677]) ).

thf(f7017,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
        = $true )
      | ( sK1
        = ( sK0 @ sK1 ) )
      | ( $true != $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
        = $true )
      | ( ( sK0 @ X1 )
        = ( sK0 @ sK1 ) )
      | ( ( sK0 @ ( sK0 @ X0 ) )
        = sK1 )
      | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( b @ sK1 @ ( sK0 @ X1 ) )
        = $true ) ),
    inference(constrained_superposition,[],[f2085,f81]) ).

thf(f7027,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sK0 @ X1 )
        = ( sK0 @ sK1 ) )
      | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
        = $true )
      | ( ( sK0 @ ( sK0 @ X0 ) )
        = sK1 )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
        = $true )
      | ( sK1
        = ( sK0 @ sK1 ) )
      | ( ( b @ sK1 @ ( sK0 @ X1 ) )
        = $true )
      | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f7017]) ).

thf(f7271,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_207 ),
    inference(constrained_superposition,[],[f5246,f52]) ).

thf(f7276,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_207 ),
    inference(trivial_inequality_removal,[],[f7271]) ).

thf(f7278,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_207 ),
    inference(forward_subsumption_resolution,[],[f7276,f41]) ).

thf(f7885,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != ( sK0 @ sK1 ) )
    | spl2_72 ),
    inference(avatar_component_clause,[],[f1042]) ).

thf(f7923,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_74 ),
    inference(avatar_component_clause,[],[f1048]) ).

thf(f7978,definition,
    ( spl2_245
  <=> ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).

thf(f7979,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_245 ),
    inference(avatar_component_clause,[],[f7978]) ).

thf(f7984,definition,
    ( spl2_247
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_247])],[avatar_definition]) ).

thf(f7985,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_247 ),
    inference(avatar_component_clause,[],[f7984]) ).

thf(f7987,definition,
    ( spl2_248
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_248])],[avatar_definition]) ).

thf(f7988,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_248 ),
    inference(avatar_component_clause,[],[f7987]) ).

thf(f8006,definition,
    ( spl2_251
  <=> ! [X2: $i,X1: $i,X3: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X2 @ X3 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X3 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_251])],[avatar_definition]) ).

thf(f8007,plain,
    ( ! [X2: $i,X3: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X2 @ X3 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X3 )
         != $true ) )
    | ~ spl2_251 ),
    inference(avatar_component_clause,[],[f8006]) ).

thf(f8017,definition,
    ( spl2_252
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_252])],[avatar_definition]) ).

thf(f8018,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_252 ),
    inference(avatar_component_clause,[],[f8017]) ).

thf(f8022,definition,
    ( spl2_253
  <=> ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_253])],[avatar_definition]) ).

thf(f8023,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_253 ),
    inference(avatar_component_clause,[],[f8022]) ).

thf(f8025,definition,
    ( spl2_254
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_254])],[avatar_definition]) ).

thf(f8026,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_254 ),
    inference(avatar_component_clause,[],[f8025]) ).

thf(f8028,definition,
    ( spl2_255
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_255])],[avatar_definition]) ).

thf(f8029,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_255 ),
    inference(avatar_component_clause,[],[f8028]) ).

thf(f8082,definition,
    ( spl2_259
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_259])],[avatar_definition]) ).

thf(f8083,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_259 ),
    inference(avatar_component_clause,[],[f8082]) ).

thf(f8085,definition,
    ( spl2_260
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_260])],[avatar_definition]) ).

thf(f8086,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_260 ),
    inference(avatar_component_clause,[],[f8085]) ).

thf(f8089,definition,
    ( spl2_261
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_261])],[avatar_definition]) ).

thf(f8090,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_261 ),
    inference(avatar_component_clause,[],[f8089]) ).

thf(f8092,definition,
    ( spl2_262
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_262])],[avatar_definition]) ).

thf(f8093,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_262 ),
    inference(avatar_component_clause,[],[f8092]) ).

thf(f8096,definition,
    ( spl2_263
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_263])],[avatar_definition]) ).

thf(f8097,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_263 ),
    inference(avatar_component_clause,[],[f8096]) ).

thf(f8099,definition,
    ( spl2_264
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_264])],[avatar_definition]) ).

thf(f8100,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_264 ),
    inference(avatar_component_clause,[],[f8099]) ).

thf(f8103,definition,
    ( spl2_265
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_265])],[avatar_definition]) ).

thf(f8104,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_265 ),
    inference(avatar_component_clause,[],[f8103]) ).

thf(f8106,definition,
    ( spl2_266
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_266])],[avatar_definition]) ).

thf(f8107,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_266 ),
    inference(avatar_component_clause,[],[f8106]) ).

thf(f8112,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_26
    | ~ spl2_204 ),
    inference(constrained_superposition,[],[f5365,f5854]) ).

thf(f8118,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_26
    | ~ spl2_204 ),
    inference(trivial_inequality_removal,[],[f8112]) ).

thf(f8125,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_26
    | spl2_39
    | ~ spl2_204 ),
    inference(forward_subsumption_resolution,[],[f8118,f1472]) ).

thf(f8127,plain,
    ( spl2_27
    | spl2_26
    | spl2_39
    | ~ spl2_204 ),
    inference(avatar_split_clause,[],[f8125,f5146,f385,f244,f247]) ).

thf(f8145,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_64
    | ~ spl2_261 ),
    inference(constrained_superposition,[],[f6536,f8090]) ).

thf(f8151,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_64
    | ~ spl2_261 ),
    inference(trivial_inequality_removal,[],[f8145]) ).

thf(f8156,definition,
    ( spl2_268
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_268])],[avatar_definition]) ).

thf(f8157,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_268 ),
    inference(avatar_component_clause,[],[f8156]) ).

thf(f8159,definition,
    ( spl2_269
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_269])],[avatar_definition]) ).

thf(f8160,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_269 ),
    inference(avatar_component_clause,[],[f8159]) ).

thf(f8162,definition,
    ( spl2_270
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_270])],[avatar_definition]) ).

thf(f8163,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_270 ),
    inference(avatar_component_clause,[],[f8162]) ).

thf(f8166,definition,
    ( spl2_271
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_271])],[avatar_definition]) ).

thf(f8167,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_271 ),
    inference(avatar_component_clause,[],[f8166]) ).

thf(f8168,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_115 ),
    inference(avatar_component_clause,[],[f2504]) ).

thf(f8171,definition,
    ( spl2_272
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_272])],[avatar_definition]) ).

thf(f8172,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_272 ),
    inference(avatar_component_clause,[],[f8171]) ).

thf(f8173,plain,
    ( spl2_272
    | spl2_107
    | ~ spl2_64
    | ~ spl2_261 ),
    inference(avatar_split_clause,[],[f8151,f8089,f984,f2451,f8171]) ).

thf(f8175,definition,
    ( spl2_273
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_273])],[avatar_definition]) ).

thf(f8176,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_273 ),
    inference(avatar_component_clause,[],[f8175]) ).

thf(f8188,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_23
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f227,f8176]) ).

thf(f8190,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_116
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f2583,f8176]) ).

thf(f8195,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f8190]) ).

thf(f8204,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_23
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f8188]) ).

thf(f8206,definition,
    ( spl2_274
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).

thf(f8207,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_274 ),
    inference(avatar_component_clause,[],[f8206]) ).

thf(f8208,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | spl2_247 ),
    inference(avatar_component_clause,[],[f7984]) ).

thf(f8209,plain,
    ( spl2_274
    | ~ spl2_247
    | ~ spl2_116
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f8195,f8175,f2543,f7984,f8206]) ).

thf(f8212,definition,
    ( spl2_275
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_275])],[avatar_definition]) ).

thf(f8213,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_275 ),
    inference(avatar_component_clause,[],[f8212]) ).

thf(f8216,definition,
    ( spl2_276
  <=> ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_276])],[avatar_definition]) ).

thf(f8217,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_276 ),
    inference(avatar_component_clause,[],[f8216]) ).

thf(f8219,plain,
    ( ~ spl2_247
    | ~ spl2_23
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f8204,f8175,f226,f7984]) ).

thf(f8221,definition,
    ( spl2_277
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_277])],[avatar_definition]) ).

thf(f8222,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_277 ),
    inference(avatar_component_clause,[],[f8221]) ).

thf(f8232,definition,
    ( spl2_278
  <=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_278])],[avatar_definition]) ).

thf(f8233,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_278 ),
    inference(avatar_component_clause,[],[f8232]) ).

thf(f8252,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ~ spl2_38
    | ~ spl2_232
    | spl2_268 ),
    inference(constrained_superposition,[],[f8157,f6142]) ).

thf(f8254,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | spl2_268 ),
    inference(constrained_superposition,[],[f8157,f83]) ).

thf(f8274,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_268 ),
    inference(trivial_inequality_removal,[],[f8254]) ).

thf(f8282,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_38
    | ~ spl2_232
    | spl2_268 ),
    inference(trivial_inequality_removal,[],[f8252]) ).

thf(f8292,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_268 ),
    inference(forward_subsumption_resolution,[],[f8274,f41]) ).

thf(f8293,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_38
    | ~ spl2_232
    | spl2_247
    | spl2_268 ),
    inference(forward_subsumption_resolution,[],[f8282,f8208]) ).

thf(f8298,definition,
    ( spl2_282
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_282])],[avatar_definition]) ).

thf(f8299,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_282 ),
    inference(avatar_component_clause,[],[f8298]) ).

thf(f8304,plain,
    ( spl2_277
    | spl2_268 ),
    inference(avatar_split_clause,[],[f8292,f8156,f8221]) ).

thf(f8305,plain,
    ( spl2_245
    | ~ spl2_38
    | ~ spl2_232
    | spl2_247
    | spl2_268 ),
    inference(avatar_split_clause,[],[f8293,f8156,f7984,f5969,f382,f7978]) ).

thf(f8323,definition,
    ( spl2_284
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_284])],[avatar_definition]) ).

thf(f8324,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_284 ),
    inference(avatar_component_clause,[],[f8323]) ).

thf(f8327,definition,
    ( spl2_285
  <=> ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_285])],[avatar_definition]) ).

thf(f8328,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_285 ),
    inference(avatar_component_clause,[],[f8327]) ).

thf(f8331,definition,
    ( spl2_286
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_286])],[avatar_definition]) ).

thf(f8332,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_286 ),
    inference(avatar_component_clause,[],[f8331]) ).

thf(f8334,definition,
    ( spl2_287
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).

thf(f8335,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_287 ),
    inference(avatar_component_clause,[],[f8334]) ).

thf(f8337,definition,
    ( spl2_288
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_288])],[avatar_definition]) ).

thf(f8338,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_288 ),
    inference(avatar_component_clause,[],[f8337]) ).

thf(f8341,definition,
    ( spl2_289
  <=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_289])],[avatar_definition]) ).

thf(f8342,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_289 ),
    inference(avatar_component_clause,[],[f8341]) ).

thf(f8344,definition,
    ( spl2_290
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_290])],[avatar_definition]) ).

thf(f8345,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_290 ),
    inference(avatar_component_clause,[],[f8344]) ).

thf(f8347,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_64
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f5840,f8342]) ).

thf(f8348,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_95
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f1502,f8342]) ).

thf(f8356,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_95
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f1508,f8342]) ).

thf(f8388,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_95
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f8348]) ).

thf(f8390,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_95
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f8356]) ).

thf(f8392,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_64
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f8347]) ).

thf(f8422,definition,
    ( spl2_292
  <=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).

thf(f8423,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_292 ),
    inference(avatar_component_clause,[],[f8422]) ).

thf(f8424,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_286 ),
    inference(avatar_component_clause,[],[f8331]) ).

thf(f8427,definition,
    ( spl2_293
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_293])],[avatar_definition]) ).

thf(f8428,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_293 ),
    inference(avatar_component_clause,[],[f8427]) ).

thf(f8431,definition,
    ( spl2_294
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_294])],[avatar_definition]) ).

thf(f8432,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_294 ),
    inference(avatar_component_clause,[],[f8431]) ).

thf(f8434,definition,
    ( spl2_295
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_295])],[avatar_definition]) ).

thf(f8435,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_295 ),
    inference(avatar_component_clause,[],[f8434]) ).

thf(f8436,plain,
    ( ~ spl2_294
    | spl2_295
    | ~ spl2_95
    | ~ spl2_289 ),
    inference(avatar_split_clause,[],[f8388,f8341,f1493,f8434,f8431]) ).

thf(f8437,plain,
    ( spl2_295
    | ~ spl2_294
    | spl2_282
    | ~ spl2_95
    | ~ spl2_289 ),
    inference(avatar_split_clause,[],[f8390,f8341,f1493,f8298,f8431,f8434]) ).

thf(f8438,plain,
    ( spl2_254
    | ~ spl2_64
    | ~ spl2_289 ),
    inference(avatar_split_clause,[],[f8392,f8341,f984,f8025]) ).

thf(f8440,definition,
    ( spl2_296
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_296])],[avatar_definition]) ).

thf(f8441,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_296 ),
    inference(avatar_component_clause,[],[f8440]) ).

thf(f8444,definition,
    ( spl2_297
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_297])],[avatar_definition]) ).

thf(f8445,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | spl2_297 ),
    inference(avatar_component_clause,[],[f8444]) ).

thf(f8460,definition,
    ( spl2_300
  <=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_300])],[avatar_definition]) ).

thf(f8461,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_300 ),
    inference(avatar_component_clause,[],[f8460]) ).

thf(f8490,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_18
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f198,f8441]) ).

thf(f8497,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_40
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f1453,f8441]) ).

thf(f8597,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_15
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f435,f8441]) ).

thf(f8636,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_207
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f5247,f8441]) ).

thf(f8668,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_18
    | ~ spl2_296 ),
    inference(duplicate_literal_removal,[],[f8490]) ).

thf(f8677,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_18
    | spl2_46
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f8668,f505]) ).

thf(f8686,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_15
    | spl2_46
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f8597,f505]) ).

thf(f8691,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_46
    | ~ spl2_207
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f8636,f505]) ).

thf(f8715,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_40
    | spl2_46
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f8497,f505]) ).

thf(f8729,plain,
    ( spl2_30
    | ~ spl2_33
    | ~ spl2_18
    | spl2_46
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f8677,f8440,f504,f197,f317,f290]) ).

thf(f8738,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_15
    | spl2_19
    | spl2_46
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f8686,f1054]) ).

thf(f8742,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_19
    | spl2_46
    | ~ spl2_207
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f8691,f1054]) ).

thf(f8769,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_40
    | spl2_46
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f8715,f230]) ).

thf(f8780,plain,
    ( spl2_245
    | ~ spl2_15
    | spl2_19
    | spl2_46
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f8738,f8440,f504,f200,f187,f7978]) ).

thf(f8785,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_19
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f8742,f230]) ).

thf(f8804,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_40
    | spl2_46
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f8769,f8440,f504,f389,f229,f207]) ).

thf(f8812,plain,
    ( spl2_245
    | spl2_19
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f8785,f8440,f5158,f504,f229,f200,f7978]) ).

thf(f8826,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_64
    | ~ spl2_255 ),
    inference(constrained_superposition,[],[f6536,f8029]) ).

thf(f8838,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_64
    | ~ spl2_255 ),
    inference(trivial_inequality_removal,[],[f8826]) ).

thf(f8841,definition,
    ( spl2_301
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_301])],[avatar_definition]) ).

thf(f8842,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_301 ),
    inference(avatar_component_clause,[],[f8841]) ).

thf(f8846,definition,
    ( spl2_302
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).

thf(f8847,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_302 ),
    inference(avatar_component_clause,[],[f8846]) ).

thf(f8849,plain,
    ( spl2_301
    | spl2_285
    | ~ spl2_64
    | ~ spl2_255 ),
    inference(avatar_split_clause,[],[f8838,f8028,f984,f8327,f8841]) ).

thf(f8857,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | spl2_297 ),
    inference(constrained_superposition,[],[f8445,f50]) ).

thf(f8859,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | spl2_297 ),
    inference(trivial_inequality_removal,[],[f8857]) ).

thf(f8867,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_293 ),
    inference(constrained_superposition,[],[f721,f8428]) ).

thf(f8873,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_125
    | ~ spl2_293 ),
    inference(constrained_superposition,[],[f2998,f8428]) ).

thf(f9079,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_99
    | ~ spl2_293 ),
    inference(forward_subsumption_resolution,[],[f8867,f1628]) ).

thf(f9147,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_137 ),
    inference(avatar_component_clause,[],[f3843]) ).

thf(f9159,plain,
    ( spl2_137
    | spl2_99
    | ~ spl2_293 ),
    inference(avatar_split_clause,[],[f9079,f8427,f1627,f3843]) ).

thf(f9176,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_107
    | ~ spl2_245 ),
    inference(constrained_superposition,[],[f2452,f7979]) ).

thf(f9177,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_245
    | ~ spl2_255 ),
    inference(constrained_superposition,[],[f8029,f7979]) ).

thf(f9180,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_245
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f8176,f7979]) ).

thf(f9181,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_245
    | spl2_247 ),
    inference(constrained_superposition,[],[f8208,f7979]) ).

thf(f9234,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_245 ),
    inference(constrained_superposition,[],[f82,f7979]) ).

thf(f9246,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_245 ),
    inference(constrained_superposition,[],[f529,f7979]) ).

thf(f9251,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_38
    | ~ spl2_245 ),
    inference(constrained_superposition,[],[f1444,f7979]) ).

thf(f9252,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_40
    | ~ spl2_245 ),
    inference(constrained_superposition,[],[f1453,f7979]) ).

thf(f9253,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_95
    | ~ spl2_245 ),
    inference(constrained_superposition,[],[f1502,f7979]) ).

thf(f9265,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_64
    | ~ spl2_245 ),
    inference(constrained_superposition,[],[f5840,f7979]) ).

thf(f9269,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_85
    | ~ spl2_245 ),
    inference(constrained_superposition,[],[f6001,f7979]) ).

thf(f9388,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true ) )
    | ~ spl2_245 ),
    inference(duplicate_literal_removal,[],[f9246]) ).

thf(f9399,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | spl2_78
    | ~ spl2_85
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9269,f5221]) ).

thf(f9405,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_40
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9252,f230]) ).

thf(f9417,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | spl2_29
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9388,f288]) ).

thf(f9419,definition,
    ( spl2_303
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_303])],[avatar_definition]) ).

thf(f9420,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true ) )
    | ~ spl2_303 ),
    inference(avatar_component_clause,[],[f9419]) ).

thf(f9421,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_21 ),
    inference(avatar_component_clause,[],[f207]) ).

thf(f9423,plain,
    ( $false
    | spl2_39
    | ~ spl2_245
    | ~ spl2_255 ),
    inference(forward_subsumption_resolution,[],[f9177,f1472]) ).

thf(f9424,plain,
    ( spl2_39
    | ~ spl2_245
    | ~ spl2_255 ),
    inference(avatar_contradiction_clause,[],[f9423]) ).

thf(f9428,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_82
    | ~ spl2_95
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9253,f1225]) ).

thf(f9443,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_24
    | ~ spl2_38
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9251,f230]) ).

thf(f9446,plain,
    ( $false
    | ~ spl2_116
    | ~ spl2_245
    | spl2_247 ),
    inference(forward_subsumption_resolution,[],[f9181,f2556]) ).

thf(f9447,plain,
    ( ~ spl2_116
    | ~ spl2_245
    | spl2_247 ),
    inference(avatar_contradiction_clause,[],[f9446]) ).

thf(f9450,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_109
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9234,f2562]) ).

thf(f9457,plain,
    ( $false
    | spl2_109
    | ~ spl2_245
    | ~ spl2_273 ),
    inference(forward_subsumption_resolution,[],[f9180,f2562]) ).

thf(f9458,plain,
    ( spl2_109
    | ~ spl2_245
    | ~ spl2_273 ),
    inference(avatar_contradiction_clause,[],[f9457]) ).

thf(f9459,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_64
    | ~ spl2_82
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9265,f1225]) ).

thf(f9462,plain,
    ( $false
    | ~ spl2_107
    | spl2_109
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9176,f2562]) ).

thf(f9463,plain,
    ( ~ spl2_107
    | spl2_109
    | ~ spl2_245 ),
    inference(avatar_contradiction_clause,[],[f9462]) ).

thf(f9469,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | spl2_78
    | ~ spl2_85
    | spl2_109
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9399,f2562]) ).

thf(f9476,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_40
    | spl2_46
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9405,f505]) ).

thf(f9488,plain,
    ( spl2_79
    | spl2_29
    | ~ spl2_245 ),
    inference(avatar_split_clause,[],[f9417,f7978,f287,f1157]) ).

thf(f9493,plain,
    ( ~ spl2_63
    | spl2_137
    | ~ spl2_82
    | ~ spl2_95
    | ~ spl2_245 ),
    inference(avatar_split_clause,[],[f9428,f7978,f1493,f1224,f3843,f981]) ).

thf(f9501,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_24
    | ~ spl2_38
    | spl2_46
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9443,f505]) ).

thf(f9506,plain,
    ( $false
    | spl2_12
    | spl2_109
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f9450,f151]) ).

thf(f9507,plain,
    ( spl2_12
    | spl2_109
    | ~ spl2_245 ),
    inference(avatar_contradiction_clause,[],[f9506]) ).

thf(f9510,plain,
    ( spl2_137
    | ~ spl2_64
    | ~ spl2_82
    | ~ spl2_245 ),
    inference(avatar_split_clause,[],[f9459,f7978,f1224,f984,f3843]) ).

thf(f9517,plain,
    ( spl2_72
    | spl2_78
    | ~ spl2_85
    | spl2_109
    | ~ spl2_245 ),
    inference(avatar_split_clause,[],[f9469,f7978,f2466,f1265,f1067,f1042]) ).

thf(f9523,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_40
    | spl2_46
    | ~ spl2_245 ),
    inference(avatar_split_clause,[],[f9476,f7978,f504,f389,f229,f207]) ).

thf(f9536,plain,
    ( ~ spl2_16
    | ~ spl2_24
    | ~ spl2_38
    | spl2_46
    | ~ spl2_245 ),
    inference(avatar_split_clause,[],[f9501,f7978,f504,f382,f229,f190]) ).

thf(f9568,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_21
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f363,f9421]) ).

thf(f9570,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_5
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f102,f9421]) ).

thf(f9571,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f95,f9421]) ).

thf(f9586,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_21
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f9568]) ).

thf(f9600,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_21 ),
    inference(duplicate_literal_removal,[],[f9571]) ).

thf(f9601,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f9600]) ).

thf(f9606,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_5
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f9570]) ).

thf(f9611,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f1038,f1068]) ).

thf(f9621,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_78 ),
    inference(trivial_inequality_removal,[],[f9611]) ).

thf(f9624,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_78
    | ~ spl2_116 ),
    inference(forward_subsumption_resolution,[],[f9621,f2556]) ).

thf(f9626,plain,
    ( spl2_105
    | ~ spl2_67
    | ~ spl2_78
    | ~ spl2_116 ),
    inference(avatar_split_clause,[],[f9624,f2543,f1067,f994,f2305]) ).

thf(f9629,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_294 ),
    inference(constrained_superposition,[],[f8432,f81]) ).

thf(f9633,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_294 ),
    inference(trivial_inequality_removal,[],[f9629]) ).

thf(f9637,plain,
    ( spl2_284
    | spl2_294 ),
    inference(avatar_split_clause,[],[f9633,f8431,f8323]) ).

thf(f9643,plain,
    ( spl2_95
    | spl2_73
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f5686,f1224,f1045,f1493]) ).

thf(f9651,plain,
    ( spl2_137
    | ~ spl2_58
    | spl2_57
    | ~ spl2_125
    | ~ spl2_293 ),
    inference(avatar_split_clause,[],[f8873,f8427,f2997,f961,f964,f3843]) ).

thf(f9661,plain,
    ( spl2_68
    | spl2_124
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f5689,f1224,f2991,f998]) ).

thf(f9719,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_86
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f1360,f9147]) ).

thf(f9720,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_67
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f1038,f9147]) ).

thf(f9724,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f30,f9147]) ).

thf(f9725,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f9720]) ).

thf(f9729,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_137 ),
    inference(duplicate_literal_removal,[],[f9724]) ).

thf(f9730,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f9729]) ).

thf(f9731,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f9719]) ).

thf(f9735,plain,
    ( spl2_251
    | ~ spl2_137 ),
    inference(avatar_split_clause,[],[f9730,f3843,f8006]) ).

thf(f9736,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_137 ),
    inference(forward_subsumption_resolution,[],[f9731,f1276]) ).

thf(f9740,plain,
    ( spl2_175
    | ~ spl2_86
    | ~ spl2_137 ),
    inference(avatar_split_clause,[],[f9736,f3843,f1275,f4596]) ).

thf(f9809,definition,
    ( spl2_312
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_312])],[avatar_definition]) ).

thf(f9810,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_312 ),
    inference(avatar_component_clause,[],[f9809]) ).

thf(f10175,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_72
    | ~ spl2_82 ),
    inference(extensionality_resolution,[],[f5531,f7885]) ).

thf(f10179,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_72 ),
    inference(extensionality_resolution,[],[f168,f7885]) ).

thf(f10180,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | spl2_72 ),
    inference(extensionality_resolution,[],[f168,f7885]) ).

thf(f10183,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_24
    | spl2_72 ),
    inference(extensionality_resolution,[],[f562,f7885]) ).

thf(f10194,definition,
    ( spl2_313
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_313])],[avatar_definition]) ).

thf(f10195,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_313 ),
    inference(avatar_component_clause,[],[f10194]) ).

thf(f10197,definition,
    ( spl2_314
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_314])],[avatar_definition]) ).

thf(f10198,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_314 ),
    inference(avatar_component_clause,[],[f10197]) ).

thf(f10199,plain,
    ( spl2_313
    | spl2_314
    | spl2_72 ),
    inference(avatar_split_clause,[],[f10179,f1042,f10197,f10194]) ).

thf(f10202,definition,
    ( spl2_315
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_315])],[avatar_definition]) ).

thf(f10203,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_315 ),
    inference(avatar_component_clause,[],[f10202]) ).

thf(f10205,definition,
    ( spl2_316
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_316])],[avatar_definition]) ).

thf(f10206,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_316 ),
    inference(avatar_component_clause,[],[f10205]) ).

thf(f10207,plain,
    ( spl2_315
    | spl2_316
    | spl2_72 ),
    inference(avatar_split_clause,[],[f10180,f1042,f10205,f10202]) ).

thf(f10209,definition,
    ( spl2_317
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_317])],[avatar_definition]) ).

thf(f10210,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) )
    | ~ spl2_317 ),
    inference(avatar_component_clause,[],[f10209]) ).

thf(f10218,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_20
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f205,f8338]) ).

thf(f10219,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f363,f8338]) ).

thf(f10227,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f31,f8338]) ).

thf(f10234,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f10227]) ).

thf(f10245,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_20
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f10218]) ).

thf(f10251,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f10219]) ).

thf(f10256,plain,
    ( spl2_114
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f10234,f8337,f2500]) ).

thf(f10260,plain,
    ( ~ spl2_115
    | ~ spl2_20
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f10245,f8337,f204,f2504]) ).

thf(f10263,plain,
    ( spl2_110
    | ~ spl2_24
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f10251,f8337,f229,f2470]) ).

thf(f10276,definition,
    ( spl2_321
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_321])],[avatar_definition]) ).

thf(f10277,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | spl2_321 ),
    inference(avatar_component_clause,[],[f10276]) ).

thf(f10282,definition,
    ( spl2_322
  <=> ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_322])],[avatar_definition]) ).

thf(f10283,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_322 ),
    inference(avatar_component_clause,[],[f10282]) ).

thf(f10289,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_37
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f357,f8424]) ).

thf(f10291,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_64
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f6536,f8424]) ).

thf(f10295,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_64
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f10291]) ).

thf(f10300,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_37
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f10289]) ).

thf(f10302,definition,
    ( spl2_323
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_323])],[avatar_definition]) ).

thf(f10303,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_323 ),
    inference(avatar_component_clause,[],[f10302]) ).

thf(f10304,plain,
    ( spl2_285
    | spl2_323
    | ~ spl2_64
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f10295,f8331,f984,f10302,f8327]) ).

thf(f10333,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_253
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f8342,f8023]) ).

thf(f10335,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_253
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f8424,f8023]) ).

thf(f10383,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f81,f8023]) ).

thf(f10392,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f170,f8023]) ).

thf(f10395,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_18
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f198,f8023]) ).

thf(f10401,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_38
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f1444,f8023]) ).

thf(f10402,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_40
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f1453,f8023]) ).

thf(f10428,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_207
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f7278,f8023]) ).

thf(f10504,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_85
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f6002,f8023]) ).

thf(f10531,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_18
    | ~ spl2_253 ),
    inference(duplicate_literal_removal,[],[f10395]) ).

thf(f10540,plain,
    ( $false
    | spl2_49
    | ~ spl2_253
    | ~ spl2_286 ),
    inference(forward_subsumption_resolution,[],[f10335,f517]) ).

thf(f10541,plain,
    ( spl2_49
    | ~ spl2_253
    | ~ spl2_286 ),
    inference(avatar_contradiction_clause,[],[f10540]) ).

thf(f10543,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_38
    | spl2_46
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10401,f505]) ).

thf(f10547,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_109
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10383,f2562]) ).

thf(f10554,plain,
    ( $false
    | spl2_12
    | ~ spl2_253
    | ~ spl2_289 ),
    inference(forward_subsumption_resolution,[],[f10333,f151]) ).

thf(f10555,plain,
    ( spl2_12
    | ~ spl2_253
    | ~ spl2_289 ),
    inference(avatar_contradiction_clause,[],[f10554]) ).

thf(f10556,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_18
    | spl2_46
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10531,f505]) ).

thf(f10557,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_72
    | ~ spl2_85
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10504,f7885]) ).

thf(f10558,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_29
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10392,f288]) ).

thf(f10559,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_24
    | ~ spl2_40
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10402,f230]) ).

thf(f10566,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_19
    | ~ spl2_207
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10428,f1054]) ).

thf(f10574,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_24
    | ~ spl2_38
    | spl2_46
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10543,f230]) ).

thf(f10578,plain,
    ( $false
    | spl2_12
    | spl2_109
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10547,f151]) ).

thf(f10579,plain,
    ( spl2_12
    | spl2_109
    | ~ spl2_253 ),
    inference(avatar_contradiction_clause,[],[f10578]) ).

thf(f10586,plain,
    ( ~ spl2_33
    | spl2_30
    | ~ spl2_18
    | spl2_46
    | ~ spl2_253 ),
    inference(avatar_split_clause,[],[f10556,f8022,f504,f197,f290,f317]) ).

thf(f10587,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_72
    | ~ spl2_85
    | spl2_109
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10557,f2562]) ).

thf(f10588,plain,
    ( $false
    | spl2_29
    | spl2_46
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10558,f505]) ).

thf(f10589,plain,
    ( spl2_29
    | spl2_46
    | ~ spl2_253 ),
    inference(avatar_contradiction_clause,[],[f10588]) ).

thf(f10590,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_21
    | ~ spl2_24
    | ~ spl2_40
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10559,f9421]) ).

thf(f10596,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_19
    | spl2_49
    | ~ spl2_207
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10566,f517]) ).

thf(f10600,plain,
    ( ~ spl2_16
    | ~ spl2_24
    | ~ spl2_38
    | spl2_46
    | ~ spl2_253 ),
    inference(avatar_split_clause,[],[f10574,f8022,f504,f382,f229,f190]) ).

thf(f10610,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_72
    | ~ spl2_85
    | spl2_109
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10587,f41]) ).

thf(f10611,plain,
    ( $false
    | ~ spl2_21
    | ~ spl2_24
    | ~ spl2_40
    | spl2_46
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10590,f505]) ).

thf(f10612,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_40
    | spl2_46
    | ~ spl2_253 ),
    inference(avatar_contradiction_clause,[],[f10611]) ).

thf(f10616,plain,
    ( $false
    | spl2_19
    | spl2_46
    | spl2_49
    | ~ spl2_207
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10596,f505]) ).

thf(f10617,plain,
    ( spl2_19
    | spl2_46
    | spl2_49
    | ~ spl2_207
    | ~ spl2_253 ),
    inference(avatar_contradiction_clause,[],[f10616]) ).

thf(f10619,plain,
    ( $false
    | spl2_72
    | spl2_78
    | ~ spl2_85
    | spl2_109
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f10610,f5221]) ).

thf(f10620,plain,
    ( spl2_72
    | spl2_78
    | ~ spl2_85
    | spl2_109
    | ~ spl2_253 ),
    inference(avatar_contradiction_clause,[],[f10619]) ).

thf(f10653,plain,
    ( spl2_73
    | ~ spl2_12
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f5843,f984,f150,f1045]) ).

thf(f10664,plain,
    ( spl2_40
    | ~ spl2_21
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f9586,f229,f207,f389]) ).

thf(f10665,plain,
    ( ~ spl2_46
    | spl2_141
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f1597,f1519,f3865,f504]) ).

thf(f10666,plain,
    ( ~ spl2_68
    | spl2_136
    | ~ spl2_67
    | ~ spl2_137 ),
    inference(avatar_split_clause,[],[f9725,f3843,f994,f3840,f998]) ).

thf(f10685,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | spl2_76
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f1528,f1631]) ).

thf(f10720,plain,
    ( spl2_141
    | ~ spl2_46
    | spl2_76
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f10685,f1519,f1058,f504,f3865]) ).

thf(f10743,plain,
    ( spl2_13
    | spl2_26
    | ~ spl2_12
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f9601,f207,f150,f244,f153]) ).

thf(f10744,plain,
    ( spl2_26
    | ~ spl2_12
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f1391,f204,f150,f244]) ).

thf(f10746,plain,
    ( spl2_26
    | ~ spl2_33
    | ~ spl2_12
    | ~ spl2_5
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f9606,f207,f101,f150,f317,f244]) ).

thf(f10749,plain,
    ( ( $true != $true )
    | ~ spl2_13
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f154,f230]) ).

thf(f10750,plain,
    ( ( $true != $true )
    | ~ spl2_13
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f154,f1225]) ).

thf(f10751,plain,
    ( ( $true != $true )
    | ~ spl2_13
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f154,f8342]) ).

thf(f10758,plain,
    ( $false
    | ~ spl2_13
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f10749]) ).

thf(f10759,plain,
    ( ~ spl2_13
    | ~ spl2_24 ),
    inference(avatar_contradiction_clause,[],[f10758]) ).

thf(f10760,plain,
    ( $false
    | ~ spl2_13
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f10751]) ).

thf(f10761,plain,
    ( ~ spl2_13
    | ~ spl2_289 ),
    inference(avatar_contradiction_clause,[],[f10760]) ).

thf(f10763,plain,
    ( $false
    | ~ spl2_13
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f10750]) ).

thf(f10764,plain,
    ( ~ spl2_13
    | ~ spl2_82 ),
    inference(avatar_contradiction_clause,[],[f10763]) ).

thf(f10785,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f2583,f8324]) ).

thf(f10797,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f10785]) ).

thf(f10803,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_284 ),
    inference(forward_subsumption_resolution,[],[f10797,f8029]) ).

thf(f10807,plain,
    ( spl2_302
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f10803,f8323,f8028,f2543,f8846]) ).

thf(f10809,definition,
    ( spl2_338
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_338])],[avatar_definition]) ).

thf(f10810,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_338 ),
    inference(avatar_component_clause,[],[f10809]) ).

thf(f10813,definition,
    ( spl2_339
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_339])],[avatar_definition]) ).

thf(f10814,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_339 ),
    inference(avatar_component_clause,[],[f10813]) ).

thf(f10819,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(constrained_superposition,[],[f2549,f2556]) ).

thf(f10832,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(trivial_inequality_removal,[],[f10819]) ).

thf(f10834,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_67
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(constrained_superposition,[],[f10832,f995]) ).

thf(f10837,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(constrained_superposition,[],[f10832,f99]) ).

thf(f10842,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(trivial_inequality_removal,[],[f10837]) ).

thf(f10843,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_67
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(trivial_inequality_removal,[],[f10834]) ).

thf(f10846,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(forward_subsumption_resolution,[],[f10842,f2556]) ).

thf(f10847,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(avatar_contradiction_clause,[],[f10846]) ).

thf(f10848,plain,
    ( ~ spl2_68
    | ~ spl2_67
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(avatar_split_clause,[],[f10843,f2548,f2543,f994,f998]) ).

thf(f10860,definition,
    ( spl2_340
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_340])],[avatar_definition]) ).

thf(f10861,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_340 ),
    inference(avatar_component_clause,[],[f10860]) ).

thf(f10870,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_64
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f6536,f8435]) ).

thf(f10878,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_64
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f10870]) ).

thf(f10884,definition,
    ( spl2_341
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_341])],[avatar_definition]) ).

thf(f10885,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_341 ),
    inference(avatar_component_clause,[],[f10884]) ).

thf(f10889,definition,
    ( spl2_342
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_342])],[avatar_definition]) ).

thf(f10890,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_342 ),
    inference(avatar_component_clause,[],[f10889]) ).

thf(f10892,plain,
    ( spl2_285
    | spl2_342
    | ~ spl2_64
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f10878,f8434,f984,f10889,f8327]) ).

thf(f10905,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_5
    | ~ spl2_266 ),
    inference(constrained_superposition,[],[f102,f8107]) ).

thf(f10922,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_5
    | ~ spl2_266 ),
    inference(trivial_inequality_removal,[],[f10905]) ).

thf(f10940,definition,
    ( spl2_343
  <=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_343])],[avatar_definition]) ).

thf(f10941,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | spl2_343 ),
    inference(avatar_component_clause,[],[f10940]) ).

thf(f10942,plain,
    ( ~ spl2_343
    | spl2_284
    | ~ spl2_115
    | ~ spl2_5
    | ~ spl2_266 ),
    inference(avatar_split_clause,[],[f10922,f8106,f101,f2504,f8323,f10940]) ).

thf(f10953,definition,
    ( spl2_346
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_346])],[avatar_definition]) ).

thf(f10954,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_346 ),
    inference(avatar_component_clause,[],[f10953]) ).

thf(f10956,definition,
    ( spl2_347
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).

thf(f10957,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_347 ),
    inference(avatar_component_clause,[],[f10956]) ).

thf(f10959,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | spl2_111 ),
    inference(constrained_superposition,[],[f2475,f81]) ).

thf(f10962,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_111 ),
    inference(trivial_inequality_removal,[],[f10959]) ).

thf(f10965,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_343 ),
    inference(constrained_superposition,[],[f10941,f51]) ).

thf(f10967,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_343 ),
    inference(trivial_inequality_removal,[],[f10965]) ).

thf(f10970,plain,
    ( ( sK1
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | spl2_347 ),
    inference(constrained_superposition,[],[f10957,f168]) ).

thf(f10973,plain,
    ( ( sK1
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_347 ),
    inference(trivial_inequality_removal,[],[f10970]) ).

thf(f10977,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_347 ),
    inference(forward_subsumption_resolution,[],[f10973,f41]) ).

thf(f10980,definition,
    ( spl2_348
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_348])],[avatar_definition]) ).

thf(f10981,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_348 ),
    inference(avatar_component_clause,[],[f10980]) ).

thf(f10983,definition,
    ( spl2_349
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_349])],[avatar_definition]) ).

thf(f10984,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_349 ),
    inference(avatar_component_clause,[],[f10983]) ).

thf(f10986,plain,
    ( spl2_349
    | spl2_347 ),
    inference(avatar_split_clause,[],[f10977,f10956,f10983]) ).

thf(f10988,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_96
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f1529,f10984]) ).

thf(f10990,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_67
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f1038,f10984]) ).

thf(f11002,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_67
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f10990]) ).

thf(f11004,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_96
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f10988]) ).

thf(f11008,definition,
    ( spl2_350
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_350])],[avatar_definition]) ).

thf(f11009,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_350 ),
    inference(avatar_component_clause,[],[f11008]) ).

thf(f11012,definition,
    ( spl2_351
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_351])],[avatar_definition]) ).

thf(f11013,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_351 ),
    inference(avatar_component_clause,[],[f11012]) ).

thf(f11014,plain,
    ( ~ spl2_268
    | spl2_351
    | ~ spl2_96
    | ~ spl2_349 ),
    inference(avatar_split_clause,[],[f11004,f10983,f1519,f11012,f8156]) ).

thf(f11016,definition,
    ( spl2_352
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_352])],[avatar_definition]) ).

thf(f11017,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_352 ),
    inference(avatar_component_clause,[],[f11016]) ).

thf(f11021,plain,
    ( spl2_351
    | ~ spl2_247
    | ~ spl2_67
    | ~ spl2_349 ),
    inference(avatar_split_clause,[],[f11002,f10983,f994,f7984,f11012]) ).

thf(f11022,plain,
    ( spl2_273
    | spl2_111 ),
    inference(avatar_split_clause,[],[f10962,f2474,f8175]) ).

thf(f11032,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_37
    | ~ spl2_255
    | ~ spl2_286 ),
    inference(forward_subsumption_resolution,[],[f10300,f8029]) ).

thf(f11044,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_64
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f6536,f7985]) ).

thf(f11053,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_64
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f11044]) ).

thf(f11056,definition,
    ( spl2_357
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_357])],[avatar_definition]) ).

thf(f11057,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_357 ),
    inference(avatar_component_clause,[],[f11056]) ).

thf(f11060,definition,
    ( spl2_358
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_358])],[avatar_definition]) ).

thf(f11061,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_358 ),
    inference(avatar_component_clause,[],[f11060]) ).

thf(f11089,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_20
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f1392,f8168]) ).

thf(f11090,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_38
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f1442,f8168]) ).

thf(f11115,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_38
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f11090]) ).

thf(f11127,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_20
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f11089]) ).

thf(f11143,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_38
    | spl2_72
    | ~ spl2_115 ),
    inference(forward_subsumption_resolution,[],[f11115,f7885]) ).

thf(f11147,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_268 ),
    inference(avatar_component_clause,[],[f8156]) ).

thf(f11155,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_20
    | spl2_72
    | ~ spl2_115 ),
    inference(forward_subsumption_resolution,[],[f11127,f7885]) ).

thf(f11156,plain,
    ( spl2_268
    | ~ spl2_321
    | ~ spl2_38
    | spl2_72
    | ~ spl2_115 ),
    inference(avatar_split_clause,[],[f11143,f2504,f1042,f382,f10276,f8156]) ).

thf(f11157,plain,
    ( spl2_106
    | ~ spl2_20
    | spl2_72
    | ~ spl2_115 ),
    inference(avatar_split_clause,[],[f11155,f2504,f1042,f204,f2448]) ).

thf(f11158,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | spl2_115
    | ~ spl2_238 ),
    inference(constrained_superposition,[],[f2505,f6431]) ).

thf(f11164,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_115
    | ~ spl2_238 ),
    inference(trivial_inequality_removal,[],[f11158]) ).

thf(f11166,plain,
    ( spl2_348
    | spl2_273
    | spl2_115
    | ~ spl2_238 ),
    inference(avatar_split_clause,[],[f11164,f6430,f2504,f8175,f10980]) ).

thf(f11168,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_115
    | ~ spl2_348 ),
    inference(constrained_superposition,[],[f2505,f10981]) ).

thf(f11190,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_82
    | ~ spl2_348 ),
    inference(constrained_superposition,[],[f5688,f10981]) ).

thf(f11373,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_82
    | ~ spl2_348 ),
    inference(duplicate_literal_removal,[],[f11190]) ).

thf(f11391,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_82
    | spl2_137
    | ~ spl2_348 ),
    inference(forward_subsumption_resolution,[],[f11373,f3844]) ).

thf(f11393,plain,
    ( $false
    | ~ spl2_82
    | spl2_115
    | ~ spl2_348 ),
    inference(forward_subsumption_resolution,[],[f11168,f1225]) ).

thf(f11394,plain,
    ( ~ spl2_82
    | spl2_115
    | ~ spl2_348 ),
    inference(avatar_contradiction_clause,[],[f11393]) ).

thf(f11418,plain,
    ( spl2_252
    | ~ spl2_82
    | spl2_137
    | ~ spl2_348 ),
    inference(avatar_split_clause,[],[f11391,f10980,f3843,f1224,f8017]) ).

thf(f11451,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | spl2_321 ),
    inference(constrained_superposition,[],[f10277,f50]) ).

thf(f11454,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | spl2_321 ),
    inference(trivial_inequality_removal,[],[f11451]) ).

thf(f11559,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_5
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f102,f8222]) ).

thf(f11582,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_5
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f11559]) ).

thf(f11600,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_5
    | ~ spl2_24
    | ~ spl2_277 ),
    inference(forward_subsumption_resolution,[],[f11582,f230]) ).

thf(f11611,definition,
    ( spl2_362
  <=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_362])],[avatar_definition]) ).

thf(f11612,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | spl2_362 ),
    inference(avatar_component_clause,[],[f11611]) ).

thf(f11614,definition,
    ( spl2_363
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_363])],[avatar_definition]) ).

thf(f11615,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_363 ),
    inference(avatar_component_clause,[],[f11614]) ).

thf(f11617,plain,
    ( spl2_273
    | ~ spl2_362
    | ~ spl2_5
    | ~ spl2_24
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f11600,f8221,f229,f101,f11611,f8175]) ).

thf(f11624,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl2_362 ),
    inference(constrained_superposition,[],[f11612,f51]) ).

thf(f11626,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | spl2_362 ),
    inference(trivial_inequality_removal,[],[f11624]) ).

thf(f11629,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_106
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f2682,f2449]) ).

thf(f11632,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_106 ),
    inference(constrained_superposition,[],[f30,f2449]) ).

thf(f11634,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_106
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f11629]) ).

thf(f11637,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_106 ),
    inference(trivial_inequality_removal,[],[f11632]) ).

thf(f11638,plain,
    ( $false
    | ~ spl2_106
    | ~ spl2_107
    | ~ spl2_121 ),
    inference(forward_subsumption_resolution,[],[f11634,f2452]) ).

thf(f11639,plain,
    ( ~ spl2_106
    | ~ spl2_107
    | ~ spl2_121 ),
    inference(avatar_contradiction_clause,[],[f11638]) ).

thf(f11640,plain,
    ( spl2_113
    | ~ spl2_106 ),
    inference(avatar_split_clause,[],[f11637,f2448,f2489]) ).

thf(f11641,plain,
    ( spl2_357
    | spl2_107
    | ~ spl2_64
    | ~ spl2_247 ),
    inference(avatar_split_clause,[],[f11053,f7984,f984,f2451,f11056]) ).

thf(f11665,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_115 ),
    inference(constrained_superposition,[],[f2505,f52]) ).

thf(f11668,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_115 ),
    inference(trivial_inequality_removal,[],[f11665]) ).

thf(f11671,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | spl2_115 ),
    inference(forward_subsumption_resolution,[],[f11668,f41]) ).

thf(f11672,plain,
    ( spl2_107
    | spl2_115 ),
    inference(avatar_split_clause,[],[f11671,f2504,f2451]) ).

thf(f11697,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_261
    | ~ spl2_276 ),
    inference(constrained_superposition,[],[f8217,f8090]) ).

thf(f11698,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_276
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f8217,f10984]) ).

thf(f11720,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_261
    | ~ spl2_276 ),
    inference(trivial_inequality_removal,[],[f11697]) ).

thf(f11725,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_276
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f11698]) ).

thf(f11741,plain,
    ( $false
    | ~ spl2_261
    | ~ spl2_276
    | ~ spl2_292 ),
    inference(forward_subsumption_resolution,[],[f11720,f8423]) ).

thf(f11742,plain,
    ( ~ spl2_261
    | ~ spl2_276
    | ~ spl2_292 ),
    inference(avatar_contradiction_clause,[],[f11741]) ).

thf(f11743,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_276
    | ~ spl2_349 ),
    inference(forward_subsumption_resolution,[],[f11725,f995]) ).

thf(f11744,plain,
    ( ~ spl2_67
    | ~ spl2_276
    | ~ spl2_349 ),
    inference(avatar_contradiction_clause,[],[f11743]) ).

thf(f11747,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_112 ),
    inference(constrained_superposition,[],[f2478,f170]) ).

thf(f11759,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_112 ),
    inference(trivial_inequality_removal,[],[f11747]) ).

thf(f11763,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_112
    | spl2_268 ),
    inference(forward_subsumption_resolution,[],[f11759,f8157]) ).

thf(f11764,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_112
    | spl2_268 ),
    inference(forward_subsumption_resolution,[],[f11763,f230]) ).

thf(f11765,plain,
    ( ~ spl2_24
    | ~ spl2_112
    | spl2_268 ),
    inference(avatar_contradiction_clause,[],[f11764]) ).

thf(f11766,plain,
    ( $false
    | ~ spl2_37
    | ~ spl2_255
    | ~ spl2_284
    | ~ spl2_286 ),
    inference(forward_subsumption_resolution,[],[f8324,f11032]) ).

thf(f11767,plain,
    ( ~ spl2_37
    | ~ spl2_255
    | ~ spl2_284
    | ~ spl2_286 ),
    inference(avatar_contradiction_clause,[],[f11766]) ).

thf(f11768,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_277 ),
    inference(avatar_component_clause,[],[f8221]) ).

thf(f11782,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f30,f245]) ).

thf(f11788,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f11782]) ).

thf(f11789,plain,
    ( spl2_303
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f11788,f244,f9419]) ).

thf(f11848,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f5900,f8324]) ).

thf(f11850,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_64
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f6536,f8324]) ).

thf(f11856,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_64
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f11850]) ).

thf(f11860,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f11848]) ).

thf(f11864,definition,
    ( spl2_369
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_369])],[avatar_definition]) ).

thf(f11865,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_369 ),
    inference(avatar_component_clause,[],[f11864]) ).

thf(f11866,plain,
    ( spl2_369
    | spl2_285
    | ~ spl2_64
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f11856,f8323,f984,f8327,f11864]) ).

thf(f11869,definition,
    ( spl2_370
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_370])],[avatar_definition]) ).

thf(f11870,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_370 ),
    inference(avatar_component_clause,[],[f11869]) ).

thf(f11872,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_284 ),
    inference(forward_subsumption_resolution,[],[f11860,f8029]) ).

thf(f11939,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | spl2_277 ),
    inference(constrained_superposition,[],[f11768,f52]) ).

thf(f11943,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_277 ),
    inference(trivial_inequality_removal,[],[f11939]) ).

thf(f11945,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_72
    | spl2_277 ),
    inference(forward_subsumption_resolution,[],[f11943,f7885]) ).

thf(f11946,plain,
    ( spl2_268
    | spl2_72
    | spl2_277 ),
    inference(avatar_split_clause,[],[f11945,f8221,f1042,f8156]) ).

thf(f11947,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_37
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f357,f11147]) ).

thf(f11956,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_37
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f11947]) ).

thf(f11963,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_37
    | ~ spl2_247
    | ~ spl2_268 ),
    inference(forward_subsumption_resolution,[],[f11956,f7985]) ).

thf(f12072,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_96
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f1529,f8435]) ).

thf(f12074,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f1038,f8435]) ).

thf(f12082,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_96
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f12072]) ).

thf(f12083,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f12074]) ).

thf(f12090,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_255
    | ~ spl2_295 ),
    inference(forward_subsumption_resolution,[],[f12083,f8029]) ).

thf(f12099,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f11872,f8324]) ).

thf(f12132,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f12099]) ).

thf(f12137,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_284 ),
    inference(forward_subsumption_resolution,[],[f12132,f99]) ).

thf(f12138,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_284 ),
    inference(avatar_contradiction_clause,[],[f12137]) ).

thf(f12140,plain,
    ( $false
    | ~ spl2_37
    | ~ spl2_247
    | ~ spl2_268
    | ~ spl2_273 ),
    inference(forward_subsumption_resolution,[],[f8176,f11963]) ).

thf(f12141,plain,
    ( ~ spl2_37
    | ~ spl2_247
    | ~ spl2_268
    | ~ spl2_273 ),
    inference(avatar_contradiction_clause,[],[f12140]) ).

thf(f12144,definition,
    ( spl2_376
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_376])],[avatar_definition]) ).

thf(f12145,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_376 ),
    inference(avatar_component_clause,[],[f12144]) ).

thf(f12146,plain,
    ( ~ spl2_286
    | spl2_376
    | ~ spl2_96
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f12082,f8434,f1519,f12144,f8331]) ).

thf(f12148,definition,
    ( spl2_377
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_377])],[avatar_definition]) ).

thf(f12149,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_377 ),
    inference(avatar_component_clause,[],[f12148]) ).

thf(f12160,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_37
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f2215,f8176]) ).

thf(f12162,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f5900,f8176]) ).

thf(f12163,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f2583,f8176]) ).

thf(f12169,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_37
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f12160]) ).

thf(f12170,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f12163]) ).

thf(f12171,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f12162]) ).

thf(f12177,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_37
    | ~ spl2_273 ),
    inference(forward_subsumption_resolution,[],[f12169,f41]) ).

thf(f12178,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_247
    | ~ spl2_273 ),
    inference(forward_subsumption_resolution,[],[f12170,f7985]) ).

thf(f12180,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_37
    | ~ spl2_247
    | ~ spl2_273 ),
    inference(forward_subsumption_resolution,[],[f12177,f7985]) ).

thf(f12181,plain,
    ( spl2_274
    | ~ spl2_116
    | ~ spl2_247
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f12178,f8175,f7984,f2543,f8206]) ).

thf(f12183,plain,
    ( spl2_277
    | ~ spl2_37
    | ~ spl2_247
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f12180,f8175,f7984,f356,f8221]) ).

thf(f12187,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ~ spl2_56
    | spl2_268 ),
    inference(constrained_superposition,[],[f8157,f867]) ).

thf(f12198,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_128
    | spl2_268 ),
    inference(constrained_superposition,[],[f8157,f3287]) ).

thf(f12205,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_128
    | spl2_268 ),
    inference(trivial_inequality_removal,[],[f12198]) ).

thf(f12217,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_56
    | spl2_268 ),
    inference(trivial_inequality_removal,[],[f12187]) ).

thf(f12378,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_273
    | ~ spl2_276 ),
    inference(constrained_superposition,[],[f8217,f8176]) ).

thf(f12402,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_273
    | ~ spl2_276 ),
    inference(trivial_inequality_removal,[],[f12378]) ).

thf(f12413,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_273
    | ~ spl2_276 ),
    inference(forward_subsumption_resolution,[],[f12402,f99]) ).

thf(f12414,plain,
    ( ~ spl2_4
    | ~ spl2_273
    | ~ spl2_276 ),
    inference(avatar_contradiction_clause,[],[f12413]) ).

thf(f12415,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_128
    | spl2_268 ),
    inference(forward_subsumption_resolution,[],[f12205,f41]) ).

thf(f12422,plain,
    ( spl2_276
    | ~ spl2_247
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f12171,f8175,f2543,f98,f7984,f8216]) ).

thf(f12424,plain,
    ( spl2_247
    | spl2_321 ),
    inference(avatar_split_clause,[],[f11454,f10276,f7984]) ).

thf(f12427,plain,
    ( spl2_274
    | ~ spl2_247
    | ~ spl2_116
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f12170,f8175,f2543,f7984,f8206]) ).

thf(f12428,plain,
    ( spl2_282
    | spl2_247
    | ~ spl2_128
    | spl2_268 ),
    inference(avatar_split_clause,[],[f12415,f8156,f3195,f7984,f8298]) ).

thf(f12439,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_51
    | ~ spl2_67
    | spl2_78 ),
    inference(forward_subsumption_resolution,[],[f1673,f5221]) ).

thf(f12445,plain,
    ( ~ spl2_39
    | spl2_141
    | ~ spl2_67
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f1553,f1519,f994,f3865,f385]) ).

thf(f12451,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_51
    | ~ spl2_67
    | spl2_72
    | spl2_78 ),
    inference(forward_subsumption_resolution,[],[f12439,f7885]) ).

thf(f12453,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true ) )
    | ~ spl2_51
    | ~ spl2_67
    | spl2_72
    | spl2_74
    | spl2_78 ),
    inference(forward_subsumption_resolution,[],[f12451,f7923]) ).

thf(f12454,plain,
    ( ~ spl2_39
    | spl2_141
    | ~ spl2_51
    | ~ spl2_67
    | spl2_72
    | spl2_74
    | spl2_78 ),
    inference(avatar_split_clause,[],[f12453,f1067,f1048,f1042,f994,f635,f3865,f385]) ).

thf(f12526,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_107
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f2452,f8299]) ).

thf(f12533,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_273
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f8176,f8299]) ).

thf(f12534,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_277
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f8222,f8299]) ).

thf(f12535,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_278
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f8233,f8299]) ).

thf(f12539,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_282
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f8435,f8299]) ).

thf(f12558,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f170,f8299]) ).

thf(f12561,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_18
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f198,f8299]) ).

thf(f12574,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_82
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f5688,f8299]) ).

thf(f12615,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_64
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f6334,f8299]) ).

thf(f12644,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_15
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f435,f8299]) ).

thf(f12664,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f5247,f8299]) ).

thf(f12676,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f6350,f8299]) ).

thf(f12688,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_82
    | ~ spl2_282 ),
    inference(duplicate_literal_removal,[],[f12574]) ).

thf(f12689,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_18
    | ~ spl2_282 ),
    inference(duplicate_literal_removal,[],[f12561]) ).

thf(f12691,plain,
    ( $false
    | spl2_49
    | ~ spl2_107
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12526,f517]) ).

thf(f12692,plain,
    ( spl2_49
    | ~ spl2_107
    | ~ spl2_282 ),
    inference(avatar_contradiction_clause,[],[f12691]) ).

thf(f12693,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_46
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12664,f505]) ).

thf(f12697,plain,
    ( $false
    | spl2_29
    | ~ spl2_277
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12534,f288]) ).

thf(f12698,plain,
    ( spl2_29
    | ~ spl2_277
    | ~ spl2_282 ),
    inference(avatar_contradiction_clause,[],[f12697]) ).

thf(f12705,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_15
    | spl2_19
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12644,f1054]) ).

thf(f12708,plain,
    ( $false
    | spl2_137
    | ~ spl2_282
    | ~ spl2_295 ),
    inference(forward_subsumption_resolution,[],[f12539,f3844]) ).

thf(f12709,plain,
    ( spl2_137
    | ~ spl2_282
    | ~ spl2_295 ),
    inference(avatar_contradiction_clause,[],[f12708]) ).

thf(f12710,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_82
    | spl2_137
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12688,f3844]) ).

thf(f12713,plain,
    ( $false
    | spl2_26
    | ~ spl2_273
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12533,f5365]) ).

thf(f12714,plain,
    ( spl2_26
    | ~ spl2_273
    | ~ spl2_282 ),
    inference(avatar_contradiction_clause,[],[f12713]) ).

thf(f12725,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_29
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12558,f288]) ).

thf(f12732,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_64
    | spl2_78
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12615,f5221]) ).

thf(f12735,plain,
    ( $false
    | spl2_19
    | ~ spl2_278
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12535,f1054]) ).

thf(f12736,plain,
    ( spl2_19
    | ~ spl2_278
    | ~ spl2_282 ),
    inference(avatar_contradiction_clause,[],[f12735]) ).

thf(f12738,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | spl2_46
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12676,f505]) ).

thf(f12739,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_18
    | spl2_46
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12689,f505]) ).

thf(f12743,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12693,f230]) ).

thf(f12757,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_15
    | spl2_19
    | spl2_72
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12705,f7885]) ).

thf(f12759,plain,
    ( spl2_252
    | ~ spl2_82
    | spl2_137
    | ~ spl2_282 ),
    inference(avatar_split_clause,[],[f12710,f8298,f3843,f1224,f8017]) ).

thf(f12768,plain,
    ( $false
    | spl2_29
    | spl2_46
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12725,f505]) ).

thf(f12769,plain,
    ( spl2_29
    | spl2_46
    | ~ spl2_282 ),
    inference(avatar_contradiction_clause,[],[f12768]) ).

thf(f12771,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_64
    | spl2_78
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12732,f41]) ).

thf(f12774,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_46
    | spl2_49
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12738,f517]) ).

thf(f12775,plain,
    ( ~ spl2_33
    | spl2_30
    | ~ spl2_18
    | spl2_46
    | ~ spl2_282 ),
    inference(avatar_split_clause,[],[f12739,f8298,f504,f197,f290,f317]) ).

thf(f12778,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_24
    | spl2_46
    | spl2_72
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12743,f7885]) ).

thf(f12784,plain,
    ( $false
    | ~ spl2_15
    | spl2_19
    | spl2_46
    | spl2_72
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12757,f505]) ).

thf(f12785,plain,
    ( ~ spl2_15
    | spl2_19
    | spl2_46
    | spl2_72
    | ~ spl2_282 ),
    inference(avatar_contradiction_clause,[],[f12784]) ).

thf(f12793,plain,
    ( $false
    | ~ spl2_64
    | spl2_78
    | spl2_137
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12771,f3844]) ).

thf(f12794,plain,
    ( ~ spl2_64
    | spl2_78
    | spl2_137
    | ~ spl2_282 ),
    inference(avatar_contradiction_clause,[],[f12793]) ).

thf(f12797,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_46
    | spl2_49
    | spl2_72
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12774,f7885]) ).

thf(f12801,plain,
    ( $false
    | spl2_19
    | ~ spl2_24
    | spl2_46
    | spl2_72
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12778,f1054]) ).

thf(f12802,plain,
    ( spl2_19
    | ~ spl2_24
    | spl2_46
    | spl2_72
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(avatar_contradiction_clause,[],[f12801]) ).

thf(f12803,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_46
    | spl2_49
    | spl2_72
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12797,f41]) ).

thf(f12805,plain,
    ( $false
    | spl2_19
    | spl2_46
    | spl2_49
    | spl2_72
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f12803,f1054]) ).

thf(f12806,plain,
    ( spl2_19
    | spl2_46
    | spl2_49
    | spl2_72
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(avatar_contradiction_clause,[],[f12805]) ).

thf(f12918,definition,
    ( spl2_383
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_383])],[avatar_definition]) ).

thf(f12919,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_383 ),
    inference(avatar_component_clause,[],[f12918]) ).

thf(f12921,definition,
    ( spl2_384
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_384])],[avatar_definition]) ).

thf(f12922,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_384 ),
    inference(avatar_component_clause,[],[f12921]) ).

thf(f12926,definition,
    ( spl2_385
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_385])],[avatar_definition]) ).

thf(f12927,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_385 ),
    inference(avatar_component_clause,[],[f12926]) ).

thf(f12929,definition,
    ( spl2_386
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_386])],[avatar_definition]) ).

thf(f12930,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_386 ),
    inference(avatar_component_clause,[],[f12929]) ).

thf(f12932,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_385 ),
    inference(constrained_superposition,[],[f12927,f170]) ).

thf(f12936,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_385 ),
    inference(trivial_inequality_removal,[],[f12932]) ).

thf(f12938,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | spl2_384 ),
    inference(constrained_superposition,[],[f12922,f721]) ).

thf(f12945,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_384 ),
    inference(trivial_inequality_removal,[],[f12938]) ).

thf(f12952,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_363 ),
    inference(constrained_superposition,[],[f11615,f50]) ).

thf(f12959,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_363 ),
    inference(trivial_inequality_removal,[],[f12952]) ).

thf(f12964,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | spl2_247
    | ~ spl2_363 ),
    inference(forward_subsumption_resolution,[],[f12959,f8208]) ).

thf(f12965,plain,
    ( ~ spl2_16
    | spl2_247
    | ~ spl2_363 ),
    inference(avatar_split_clause,[],[f12964,f11614,f7984,f190]) ).

thf(f12970,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_24
    | ~ spl2_38 ),
    inference(constrained_superposition,[],[f383,f230]) ).

thf(f12977,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_24
    | ~ spl2_38 ),
    inference(trivial_inequality_removal,[],[f12970]) ).

thf(f13029,definition,
    ( spl2_389
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_389])],[avatar_definition]) ).

thf(f13030,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_389 ),
    inference(avatar_component_clause,[],[f13029]) ).

thf(f13039,definition,
    ( spl2_391
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_391])],[avatar_definition]) ).

thf(f13040,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_391 ),
    inference(avatar_component_clause,[],[f13039]) ).

thf(f13042,definition,
    ( spl2_392
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_392])],[avatar_definition]) ).

thf(f13043,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_392 ),
    inference(avatar_component_clause,[],[f13042]) ).

thf(f13047,definition,
    ( spl2_393
  <=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_393])],[avatar_definition]) ).

thf(f13048,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_393 ),
    inference(avatar_component_clause,[],[f13047]) ).

thf(f13054,definition,
    ( spl2_395
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_395])],[avatar_definition]) ).

thf(f13055,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_395 ),
    inference(avatar_component_clause,[],[f13054]) ).

thf(f13058,definition,
    ( spl2_396
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_396])],[avatar_definition]) ).

thf(f13059,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_396 ),
    inference(avatar_component_clause,[],[f13058]) ).

thf(f13070,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_64
    | ~ spl2_389 ),
    inference(constrained_superposition,[],[f6536,f13030]) ).

thf(f13079,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_64
    | ~ spl2_389 ),
    inference(trivial_inequality_removal,[],[f13070]) ).

thf(f13081,definition,
    ( spl2_398
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_398])],[avatar_definition]) ).

thf(f13082,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_398 ),
    inference(avatar_component_clause,[],[f13081]) ).

thf(f13084,definition,
    ( spl2_399
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_399])],[avatar_definition]) ).

thf(f13085,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_399 ),
    inference(avatar_component_clause,[],[f13084]) ).

thf(f13088,definition,
    ( spl2_400
  <=> ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_400])],[avatar_definition]) ).

thf(f13089,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_400 ),
    inference(avatar_component_clause,[],[f13088]) ).

thf(f13091,definition,
    ( spl2_401
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_401])],[avatar_definition]) ).

thf(f13092,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_401 ),
    inference(avatar_component_clause,[],[f13091]) ).

thf(f13095,definition,
    ( spl2_402
  <=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_402])],[avatar_definition]) ).

thf(f13096,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_402 ),
    inference(avatar_component_clause,[],[f13095]) ).

thf(f13097,plain,
    ( spl2_402
    | spl2_398
    | ~ spl2_64
    | ~ spl2_389 ),
    inference(avatar_split_clause,[],[f13079,f13029,f984,f13081,f13095]) ).

thf(f13098,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_64
    | ~ spl2_400 ),
    inference(constrained_superposition,[],[f5840,f13089]) ).

thf(f13101,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_207
    | ~ spl2_400 ),
    inference(constrained_superposition,[],[f5245,f13089]) ).

thf(f13133,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_207
    | ~ spl2_400 ),
    inference(trivial_inequality_removal,[],[f13101]) ).

thf(f13135,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_64
    | ~ spl2_400 ),
    inference(trivial_inequality_removal,[],[f13098]) ).

thf(f13159,definition,
    ( spl2_406
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_406])],[avatar_definition]) ).

thf(f13160,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_406 ),
    inference(avatar_component_clause,[],[f13159]) ).

thf(f13161,plain,
    ( spl2_406
    | spl2_393
    | spl2_396
    | ~ spl2_207
    | ~ spl2_400 ),
    inference(avatar_split_clause,[],[f13133,f13088,f5158,f13058,f13047,f13159]) ).

thf(f13162,plain,
    ( spl2_392
    | ~ spl2_64
    | ~ spl2_400 ),
    inference(avatar_split_clause,[],[f13135,f13088,f984,f13042]) ).

thf(f13169,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true ) )
    | ~ spl2_64
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f6536,f13059]) ).

thf(f13173,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_64
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f13169]) ).

thf(f13180,definition,
    ( spl2_407
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_407])],[avatar_definition]) ).

thf(f13181,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_407 ),
    inference(avatar_component_clause,[],[f13180]) ).

thf(f13182,plain,
    ( spl2_407
    | spl2_402
    | ~ spl2_64
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f13173,f13058,f984,f13095,f13180]) ).

thf(f13184,definition,
    ( spl2_408
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_408])],[avatar_definition]) ).

thf(f13185,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_408 ),
    inference(avatar_component_clause,[],[f13184]) ).

thf(f13188,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_37
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f2215,f13085]) ).

thf(f13190,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_23
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f227,f13085]) ).

thf(f13191,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f5900,f13085]) ).

thf(f13192,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f2583,f13085]) ).

thf(f13196,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f13191]) ).

thf(f13197,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_37
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f13188]) ).

thf(f13203,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_23
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f13190]) ).

thf(f13204,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f13192]) ).

thf(f13206,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_37
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f13197,f41]) ).

thf(f13209,definition,
    ( spl2_409
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_409])],[avatar_definition]) ).

thf(f13210,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_409 ),
    inference(avatar_component_clause,[],[f13209]) ).

thf(f13218,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | spl2_389 ),
    inference(avatar_component_clause,[],[f13029]) ).

thf(f13220,definition,
    ( spl2_410
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_410])],[avatar_definition]) ).

thf(f13221,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_410 ),
    inference(avatar_component_clause,[],[f13220]) ).

thf(f13222,plain,
    ( ~ spl2_389
    | spl2_410
    | ~ spl2_116
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f13204,f13084,f2543,f13220,f13029]) ).

thf(f13224,definition,
    ( spl2_411
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_411])],[avatar_definition]) ).

thf(f13225,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_411 ),
    inference(avatar_component_clause,[],[f13224]) ).

thf(f13226,plain,
    ( ~ spl2_389
    | spl2_411
    | ~ spl2_37
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f13206,f13084,f356,f13224,f13029]) ).

thf(f13228,plain,
    ( ~ spl2_389
    | ~ spl2_23
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f13203,f13084,f226,f13029]) ).

thf(f13230,definition,
    ( spl2_412
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_412])],[avatar_definition]) ).

thf(f13231,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_412 ),
    inference(avatar_component_clause,[],[f13230]) ).

thf(f13232,plain,
    ( spl2_412
    | ~ spl2_389
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f13196,f13084,f2543,f98,f13029,f13230]) ).

thf(f13296,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_395 ),
    inference(constrained_superposition,[],[f1038,f13055]) ).

thf(f13302,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_395 ),
    inference(trivial_inequality_removal,[],[f13296]) ).

thf(f13314,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | spl2_115
    | ~ spl2_129 ),
    inference(constrained_superposition,[],[f2505,f3199]) ).

thf(f13342,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | spl2_115
    | ~ spl2_129 ),
    inference(trivial_inequality_removal,[],[f13314]) ).

thf(f13379,definition,
    ( spl2_415
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_415])],[avatar_definition]) ).

thf(f13380,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_415 ),
    inference(avatar_component_clause,[],[f13379]) ).

thf(f13384,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_277
    | ~ spl2_322 ),
    inference(constrained_superposition,[],[f10283,f8222]) ).

thf(f13385,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_322 ),
    inference(constrained_superposition,[],[f10283,f170]) ).

thf(f13391,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_277
    | ~ spl2_322 ),
    inference(trivial_inequality_removal,[],[f13384]) ).

thf(f13397,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_322 ),
    inference(trivial_inequality_removal,[],[f13385]) ).

thf(f13400,plain,
    ( ~ spl2_33
    | ~ spl2_277
    | ~ spl2_322 ),
    inference(avatar_split_clause,[],[f13391,f10282,f8221,f317]) ).

thf(f13401,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_268
    | ~ spl2_322 ),
    inference(forward_subsumption_resolution,[],[f13397,f8157]) ).

thf(f13402,plain,
    ( ~ spl2_33
    | spl2_268
    | ~ spl2_322 ),
    inference(avatar_split_clause,[],[f13401,f10282,f8156,f317]) ).

thf(f13408,definition,
    ( spl2_417
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_417])],[avatar_definition]) ).

thf(f13409,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_417 ),
    inference(avatar_component_clause,[],[f13408]) ).

thf(f13410,plain,
    ( spl2_417
    | ~ spl2_389
    | ~ spl2_67
    | ~ spl2_395 ),
    inference(avatar_split_clause,[],[f13302,f13054,f994,f13029,f13408]) ).

thf(f13454,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_82
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f5688,f10195]) ).

thf(f13486,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_82
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f13454]) ).

thf(f13510,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_86
    | ~ spl2_132 ),
    inference(constrained_superposition,[],[f3263,f1276]) ).

thf(f13528,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_132 ),
    inference(trivial_inequality_removal,[],[f13510]) ).

thf(f13540,plain,
    ( spl2_196
    | ~ spl2_86
    | ~ spl2_132 ),
    inference(avatar_split_clause,[],[f13528,f3262,f1275,f5093]) ).

thf(f13545,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_40 ),
    inference(constrained_superposition,[],[f390,f230]) ).

thf(f13551,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_40 ),
    inference(duplicate_literal_removal,[],[f13545]) ).

thf(f13552,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_40 ),
    inference(trivial_inequality_removal,[],[f13551]) ).

thf(f13574,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_274 ),
    inference(constrained_superposition,[],[f8207,f8176]) ).

thf(f13593,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_274 ),
    inference(trivial_inequality_removal,[],[f13574]) ).

thf(f13595,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_273
    | ~ spl2_274 ),
    inference(constrained_superposition,[],[f13593,f8176]) ).

thf(f13603,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_273
    | ~ spl2_274 ),
    inference(trivial_inequality_removal,[],[f13595]) ).

thf(f13606,plain,
    ( $false
    | ~ spl2_273
    | ~ spl2_274
    | ~ spl2_278 ),
    inference(forward_subsumption_resolution,[],[f13603,f8233]) ).

thf(f13607,plain,
    ( ~ spl2_273
    | ~ spl2_274
    | ~ spl2_278 ),
    inference(avatar_contradiction_clause,[],[f13606]) ).

thf(f13610,definition,
    ( spl2_419
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_419])],[avatar_definition]) ).

thf(f13611,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_419 ),
    inference(avatar_component_clause,[],[f13610]) ).

thf(f13613,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_56
    | spl2_247
    | spl2_268 ),
    inference(forward_subsumption_resolution,[],[f12217,f8208]) ).

thf(f13620,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | spl2_115
    | ~ spl2_129 ),
    inference(forward_subsumption_resolution,[],[f13342,f41]) ).

thf(f13627,definition,
    ( spl2_422
  <=> ( $true
      = ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_422])],[avatar_definition]) ).

thf(f13628,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | spl2_422 ),
    inference(avatar_component_clause,[],[f13627]) ).

thf(f13630,definition,
    ( spl2_423
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_423])],[avatar_definition]) ).

thf(f13631,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_423 ),
    inference(avatar_component_clause,[],[f13630]) ).

thf(f13634,plain,
    ( spl2_278
    | spl2_362 ),
    inference(avatar_split_clause,[],[f11626,f11611,f8232]) ).

thf(f13641,plain,
    ( spl2_278
    | ~ spl2_56
    | spl2_247
    | spl2_268 ),
    inference(avatar_split_clause,[],[f13613,f8156,f7984,f866,f8232]) ).

thf(f13643,plain,
    ( spl2_278
    | spl2_115
    | ~ spl2_129 ),
    inference(avatar_split_clause,[],[f13620,f3198,f2504,f8232]) ).

thf(f13658,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_5
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f102,f8083]) ).

thf(f13659,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f95,f8083]) ).

thf(f13680,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f13659]) ).

thf(f13691,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_5
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f13658]) ).

thf(f13693,definition,
    ( spl2_425
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_425])],[avatar_definition]) ).

thf(f13694,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_425 ),
    inference(avatar_component_clause,[],[f13693]) ).

thf(f13704,definition,
    ( spl2_428
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_428])],[avatar_definition]) ).

thf(f13705,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_428 ),
    inference(avatar_component_clause,[],[f13704]) ).

thf(f13706,plain,
    ( spl2_428
    | ~ spl2_294
    | spl2_399
    | ~ spl2_259 ),
    inference(avatar_split_clause,[],[f13680,f8082,f13084,f8431,f13704]) ).

thf(f13707,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_5
    | ~ spl2_259
    | ~ spl2_289 ),
    inference(forward_subsumption_resolution,[],[f13691,f8342]) ).

thf(f13708,plain,
    ( ~ spl2_422
    | spl2_399
    | ~ spl2_5
    | ~ spl2_259
    | ~ spl2_289 ),
    inference(avatar_split_clause,[],[f13707,f8341,f8082,f101,f13084,f13627]) ).

thf(f13725,definition,
    ( spl2_430
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_430])],[avatar_definition]) ).

thf(f13726,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_430 ),
    inference(avatar_component_clause,[],[f13725]) ).

thf(f13812,definition,
    ( spl2_433
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_433])],[avatar_definition]) ).

thf(f13813,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_433 ),
    inference(avatar_component_clause,[],[f13812]) ).

thf(f13815,definition,
    ( spl2_434
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_434])],[avatar_definition]) ).

thf(f13816,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_434 ),
    inference(avatar_component_clause,[],[f13815]) ).

thf(f13836,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_302 ),
    inference(constrained_superposition,[],[f8847,f8424]) ).

thf(f13841,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_302 ),
    inference(constrained_superposition,[],[f8847,f8029]) ).

thf(f13860,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_302 ),
    inference(trivial_inequality_removal,[],[f13841]) ).

thf(f13861,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_302 ),
    inference(trivial_inequality_removal,[],[f13836]) ).

thf(f13862,plain,
    ( spl2_419
    | ~ spl2_255
    | ~ spl2_302 ),
    inference(avatar_split_clause,[],[f13860,f8846,f8028,f13610]) ).

thf(f13863,plain,
    ( spl2_43
    | ~ spl2_286
    | ~ spl2_302 ),
    inference(avatar_split_clause,[],[f13861,f8846,f8331,f484]) ).

thf(f13864,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_86
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f3841,f1276]) ).

thf(f13881,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f13864]) ).

thf(f13894,plain,
    ( spl2_181
    | ~ spl2_86
    | ~ spl2_136 ),
    inference(avatar_split_clause,[],[f13881,f3840,f1275,f4808]) ).

thf(f13898,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_181
    | ~ spl2_254 ),
    inference(constrained_superposition,[],[f4809,f8026]) ).

thf(f13910,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_181
    | ~ spl2_254 ),
    inference(trivial_inequality_removal,[],[f13898]) ).

thf(f13925,plain,
    ( $false
    | ~ spl2_181
    | ~ spl2_254
    | ~ spl2_286 ),
    inference(forward_subsumption_resolution,[],[f13910,f8424]) ).

thf(f13926,plain,
    ( ~ spl2_181
    | ~ spl2_254
    | ~ spl2_286 ),
    inference(avatar_contradiction_clause,[],[f13925]) ).

thf(f13927,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f9810,f10984]) ).

thf(f13952,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(duplicate_literal_removal,[],[f13927]) ).

thf(f13953,plain,
    ( ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
       != $true )
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f13952]) ).

thf(f13954,plain,
    ( ( $true != $true )
    | ~ spl2_86
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f13953,f1276]) ).

thf(f13956,plain,
    ( ( $true != $true )
    | ~ spl2_248
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f13953,f7988]) ).

thf(f13969,plain,
    ( $false
    | ~ spl2_86
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f13954]) ).

thf(f13970,plain,
    ( ~ spl2_86
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(avatar_contradiction_clause,[],[f13969]) ).

thf(f13983,plain,
    ( $false
    | ~ spl2_248
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f13956]) ).

thf(f13984,plain,
    ( ~ spl2_248
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(avatar_contradiction_clause,[],[f13983]) ).

thf(f13989,definition,
    ( spl2_435
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_435])],[avatar_definition]) ).

thf(f13990,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_435 ),
    inference(avatar_component_clause,[],[f13989]) ).

thf(f13993,definition,
    ( spl2_436
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_436])],[avatar_definition]) ).

thf(f13994,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_436 ),
    inference(avatar_component_clause,[],[f13993]) ).

thf(f13998,definition,
    ( spl2_437
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_437])],[avatar_definition]) ).

thf(f13999,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_437 ),
    inference(avatar_component_clause,[],[f13998]) ).

thf(f14001,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_437 ),
    inference(constrained_superposition,[],[f13999,f721]) ).

thf(f14006,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_437 ),
    inference(trivial_inequality_removal,[],[f14001]) ).

thf(f14010,plain,
    ( spl2_395
    | spl2_437 ),
    inference(avatar_split_clause,[],[f14006,f13998,f13054]) ).

thf(f14015,definition,
    ( spl2_438
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_438])],[avatar_definition]) ).

thf(f14016,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_438 ),
    inference(avatar_component_clause,[],[f14015]) ).

thf(f14018,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | spl2_400 ),
    inference(avatar_component_clause,[],[f13088]) ).

thf(f14019,plain,
    ( spl2_248
    | ~ spl2_437
    | ~ spl2_400
    | ~ spl2_82
    | ~ spl2_313 ),
    inference(avatar_split_clause,[],[f13486,f10194,f1224,f13088,f13998,f7987]) ).

thf(f14096,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | spl2_422 ),
    inference(constrained_superposition,[],[f13628,f51]) ).

thf(f14098,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | spl2_422 ),
    inference(trivial_inequality_removal,[],[f14096]) ).

thf(f14112,plain,
    ( ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | spl2_400 ),
    inference(constrained_superposition,[],[f14018,f52]) ).

thf(f14116,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | spl2_400 ),
    inference(trivial_inequality_removal,[],[f14112]) ).

thf(f14118,definition,
    ( spl2_439
  <=> ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_439])],[avatar_definition]) ).

thf(f14119,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_439 ),
    inference(avatar_component_clause,[],[f14118]) ).

thf(f14121,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | spl2_400 ),
    inference(forward_subsumption_resolution,[],[f14116,f41]) ).

thf(f14122,plain,
    ( spl2_402
    | spl2_400 ),
    inference(avatar_split_clause,[],[f14121,f13088,f13095]) ).

thf(f14157,definition,
    ( spl2_440
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_440])],[avatar_definition]) ).

thf(f14158,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_440 ),
    inference(avatar_component_clause,[],[f14157]) ).

thf(f14164,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_428 ),
    inference(constrained_superposition,[],[f13705,f170]) ).

thf(f14177,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_428 ),
    inference(trivial_inequality_removal,[],[f14164]) ).

thf(f14235,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_349
    | ~ spl2_351 ),
    inference(constrained_superposition,[],[f11013,f10984]) ).

thf(f14259,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_349
    | ~ spl2_351 ),
    inference(trivial_inequality_removal,[],[f14235]) ).

thf(f14260,plain,
    ( spl2_185
    | ~ spl2_349
    | ~ spl2_351 ),
    inference(avatar_split_clause,[],[f14259,f11012,f10983,f4825]) ).

thf(f14261,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(constrained_superposition,[],[f12149,f8435]) ).

thf(f14263,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_286
    | ~ spl2_377 ),
    inference(constrained_superposition,[],[f12149,f8424]) ).

thf(f14268,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_377 ),
    inference(constrained_superposition,[],[f12149,f8029]) ).

thf(f14275,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_377 ),
    inference(trivial_inequality_removal,[],[f14268]) ).

thf(f14284,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(trivial_inequality_removal,[],[f14261]) ).

thf(f14285,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_377 ),
    inference(trivial_inequality_removal,[],[f14263]) ).

thf(f14289,plain,
    ( spl2_179
    | ~ spl2_286
    | ~ spl2_377 ),
    inference(avatar_split_clause,[],[f14285,f12148,f8331,f4675]) ).

thf(f14297,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_26
    | ~ spl2_255
    | ~ spl2_377 ),
    inference(constrained_superposition,[],[f14275,f245]) ).

thf(f14315,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_26
    | ~ spl2_255
    | ~ spl2_377 ),
    inference(trivial_inequality_removal,[],[f14297]) ).

thf(f14318,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_377 ),
    inference(forward_subsumption_resolution,[],[f14315,f2556]) ).

thf(f14319,plain,
    ( ~ spl2_26
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_377 ),
    inference(avatar_contradiction_clause,[],[f14318]) ).

thf(f14330,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_96
    | ~ spl2_179 ),
    inference(constrained_superposition,[],[f4676,f1520]) ).

thf(f14348,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_96
    | ~ spl2_179 ),
    inference(trivial_inequality_removal,[],[f14330]) ).

thf(f14349,plain,
    ( $false
    | ~ spl2_86
    | ~ spl2_96
    | ~ spl2_179 ),
    inference(forward_subsumption_resolution,[],[f14348,f1276]) ).

thf(f14350,plain,
    ( ~ spl2_86
    | ~ spl2_96
    | ~ spl2_179 ),
    inference(avatar_contradiction_clause,[],[f14349]) ).

thf(f14351,plain,
    ( spl2_286
    | spl2_385 ),
    inference(avatar_split_clause,[],[f12936,f12926,f8331]) ).

thf(f14354,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_24
    | ~ spl2_428 ),
    inference(forward_subsumption_resolution,[],[f14177,f230]) ).

thf(f14358,definition,
    ( spl2_441
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_441])],[avatar_definition]) ).

thf(f14359,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_441 ),
    inference(avatar_component_clause,[],[f14358]) ).

thf(f14361,plain,
    ( spl2_286
    | ~ spl2_24
    | ~ spl2_428 ),
    inference(avatar_split_clause,[],[f14354,f13704,f229,f8331]) ).

thf(f14362,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_16 ),
    inference(constrained_superposition,[],[f191,f50]) ).

thf(f14364,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_16 ),
    inference(trivial_inequality_removal,[],[f14362]) ).

thf(f14366,plain,
    ( $false
    | spl2_16
    | spl2_39 ),
    inference(forward_subsumption_resolution,[],[f14364,f1472]) ).

thf(f14367,plain,
    ( spl2_16
    | spl2_39 ),
    inference(avatar_contradiction_clause,[],[f14366]) ).

thf(f14372,definition,
    ( spl2_442
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_442])],[avatar_definition]) ).

thf(f14373,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_442 ),
    inference(avatar_component_clause,[],[f14372]) ).

thf(f14385,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f5897,f11147]) ).

thf(f14386,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f166,f11147]) ).

thf(f14387,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f30,f11147]) ).

thf(f14389,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f14385]) ).

thf(f14390,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f14386]) ).

thf(f14391,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f14387]) ).

thf(f14397,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( $true != $true )
    | spl2_286 ),
    inference(constrained_superposition,[],[f8332,f83]) ).

thf(f14404,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f14397]) ).

thf(f14410,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f14404,f41]) ).

thf(f14424,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_286 ),
    inference(constrained_superposition,[],[f183,f14410]) ).

thf(f14462,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true ) )
    | spl2_286 ),
    inference(duplicate_literal_removal,[],[f14424]) ).

thf(f14463,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f14462]) ).

thf(f14467,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | spl2_289 ),
    inference(avatar_component_clause,[],[f8341]) ).

thf(f14496,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f985,f722]) ).

thf(f14503,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f14496]) ).

thf(f14515,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(constrained_superposition,[],[f14284,f8435]) ).

thf(f14521,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(trivial_inequality_removal,[],[f14515]) ).

thf(f14532,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(constrained_superposition,[],[f14521,f171]) ).

thf(f14543,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(trivial_inequality_removal,[],[f14532]) ).

thf(f14550,plain,
    ( spl2_269
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(avatar_split_clause,[],[f14543,f12148,f8434,f8159]) ).

thf(f14581,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_396 ),
    inference(avatar_component_clause,[],[f13058]) ).

thf(f14586,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_396 ),
    inference(constrained_superposition,[],[f14581,f83]) ).

thf(f14593,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_396 ),
    inference(trivial_inequality_removal,[],[f14586]) ).

thf(f14603,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_396 ),
    inference(forward_subsumption_resolution,[],[f14593,f41]) ).

thf(f14604,plain,
    ( spl2_411
    | spl2_396 ),
    inference(avatar_split_clause,[],[f14603,f13058,f13224]) ).

thf(f14657,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_340 ),
    inference(constrained_superposition,[],[f10861,f8029]) ).

thf(f14675,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_340 ),
    inference(trivial_inequality_removal,[],[f14657]) ).

thf(f14678,plain,
    ( spl2_103
    | ~ spl2_255
    | ~ spl2_340 ),
    inference(avatar_split_clause,[],[f14675,f10860,f8028,f2147]) ).

thf(f14680,definition,
    ( spl2_448
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_448])],[avatar_definition]) ).

thf(f14681,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_448 ),
    inference(avatar_component_clause,[],[f14680]) ).

thf(f14684,plain,
    ( spl2_376
    | ~ spl2_67
    | ~ spl2_255
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f12090,f8434,f8028,f994,f12144]) ).

thf(f14685,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_295
    | ~ spl2_376 ),
    inference(constrained_superposition,[],[f12145,f8435]) ).

thf(f14709,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_295
    | ~ spl2_376 ),
    inference(trivial_inequality_removal,[],[f14685]) ).

thf(f14711,plain,
    ( spl2_185
    | ~ spl2_295
    | ~ spl2_376 ),
    inference(avatar_split_clause,[],[f14709,f12144,f8434,f4825]) ).

thf(f14717,plain,
    ( spl2_67
    | spl2_89 ),
    inference(avatar_split_clause,[],[f1635,f1337,f994]) ).

thf(f14745,definition,
    ( spl2_455
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_455])],[avatar_definition]) ).

thf(f14746,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl2_455 ),
    inference(avatar_component_clause,[],[f14745]) ).

thf(f14761,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true ) )
    | ~ spl2_358 ),
    inference(constrained_superposition,[],[f11061,f82]) ).

thf(f14779,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_358 ),
    inference(trivial_inequality_removal,[],[f14761]) ).

thf(f14789,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | spl2_115
    | ~ spl2_358 ),
    inference(forward_subsumption_resolution,[],[f14779,f2505]) ).

thf(f14791,definition,
    ( spl2_456
  <=> ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_456])],[avatar_definition]) ).

thf(f14792,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_456 ),
    inference(avatar_component_clause,[],[f14791]) ).

thf(f14795,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_399 ),
    inference(avatar_component_clause,[],[f13084]) ).

thf(f14797,plain,
    ( ~ spl2_109
    | spl2_456
    | spl2_115
    | ~ spl2_358 ),
    inference(avatar_split_clause,[],[f14789,f11060,f2504,f14791,f2466]) ).

thf(f14804,plain,
    ( spl2_455
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f14503,f984,f14745]) ).

thf(f14819,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_270 ),
    inference(constrained_superposition,[],[f8163,f8029]) ).

thf(f14837,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_270 ),
    inference(trivial_inequality_removal,[],[f14819]) ).

thf(f14838,plain,
    ( spl2_276
    | ~ spl2_255
    | ~ spl2_270 ),
    inference(avatar_split_clause,[],[f14837,f8162,f8028,f8216]) ).

thf(f14886,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_287 ),
    inference(constrained_superposition,[],[f8335,f8029]) ).

thf(f14893,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_287 ),
    inference(trivial_inequality_removal,[],[f14886]) ).

thf(f14910,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_255
    | ~ spl2_273
    | ~ spl2_287 ),
    inference(constrained_superposition,[],[f14893,f8176]) ).

thf(f14917,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_255
    | ~ spl2_273
    | ~ spl2_287 ),
    inference(trivial_inequality_removal,[],[f14910]) ).

thf(f14929,plain,
    ( $false
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_273
    | ~ spl2_287 ),
    inference(forward_subsumption_resolution,[],[f14917,f2556]) ).

thf(f14930,plain,
    ( ~ spl2_116
    | ~ spl2_255
    | ~ spl2_273
    | ~ spl2_287 ),
    inference(avatar_contradiction_clause,[],[f14929]) ).

thf(f14936,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_266
    | ~ spl2_436 ),
    inference(constrained_superposition,[],[f13994,f8107]) ).

thf(f14942,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_266
    | ~ spl2_436 ),
    inference(trivial_inequality_removal,[],[f14936]) ).

thf(f14947,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(forward_subsumption_resolution,[],[f14942,f14410]) ).

thf(f14948,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(constrained_superposition,[],[f14947,f722]) ).

thf(f14950,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(constrained_superposition,[],[f14947,f52]) ).

thf(f14951,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(constrained_superposition,[],[f14947,f27]) ).

thf(f14952,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(trivial_inequality_removal,[],[f14950]) ).

thf(f14954,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(trivial_inequality_removal,[],[f14948]) ).

thf(f14955,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(trivial_inequality_removal,[],[f14951]) ).

thf(f14956,plain,
    ( spl2_254
    | spl2_282
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(avatar_split_clause,[],[f14952,f13993,f8331,f8106,f8298,f8025]) ).

thf(f14958,plain,
    ( spl2_254
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(avatar_split_clause,[],[f14954,f13993,f8331,f8106,f8025]) ).

thf(f14959,plain,
    ( spl2_254
    | spl2_293
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(avatar_split_clause,[],[f14955,f13993,f8331,f8106,f8427,f8025]) ).

thf(f14963,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_251 ),
    inference(constrained_superposition,[],[f8007,f171]) ).

thf(f14964,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_251
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f8007,f8435]) ).

thf(f14975,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_251 ),
    inference(trivial_inequality_removal,[],[f14963]) ).

thf(f14977,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_251
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f14964]) ).

thf(f14983,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | spl2_76
    | ~ spl2_251 ),
    inference(forward_subsumption_resolution,[],[f14975,f1631]) ).

thf(f14985,plain,
    ( spl2_376
    | ~ spl2_251
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f14977,f8434,f8006,f12144]) ).

thf(f14988,plain,
    ( spl2_141
    | spl2_76
    | ~ spl2_251 ),
    inference(avatar_split_clause,[],[f14983,f8006,f1058,f3865]) ).

thf(f14994,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_292
    | ~ spl2_338 ),
    inference(constrained_superposition,[],[f10810,f8423]) ).

thf(f14999,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_338 ),
    inference(constrained_superposition,[],[f10810,f171]) ).

thf(f15001,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_260
    | ~ spl2_338 ),
    inference(constrained_superposition,[],[f10810,f8086]) ).

thf(f15009,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_338 ),
    inference(trivial_inequality_removal,[],[f14999]) ).

thf(f15012,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_292
    | ~ spl2_338 ),
    inference(duplicate_literal_removal,[],[f14994]) ).

thf(f15013,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_292
    | ~ spl2_338 ),
    inference(trivial_inequality_removal,[],[f15012]) ).

thf(f15014,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_338 ),
    inference(trivial_inequality_removal,[],[f15001]) ).

thf(f15023,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_4
    | ~ spl2_292
    | ~ spl2_338 ),
    inference(forward_subsumption_resolution,[],[f15013,f99]) ).

thf(f15028,plain,
    ( ( $true != $true )
    | ~ spl2_4
    | ~ spl2_292
    | ~ spl2_338 ),
    inference(constrained_superposition,[],[f15023,f8423]) ).

thf(f15038,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_292
    | ~ spl2_338 ),
    inference(trivial_inequality_removal,[],[f15028]) ).

thf(f15039,plain,
    ( ~ spl2_4
    | ~ spl2_292
    | ~ spl2_338 ),
    inference(avatar_contradiction_clause,[],[f15038]) ).

thf(f15042,plain,
    ( spl2_292
    | spl2_343 ),
    inference(avatar_split_clause,[],[f10967,f10940,f8422]) ).

thf(f15065,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_456 ),
    inference(constrained_superposition,[],[f14792,f82]) ).

thf(f15067,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_107
    | ~ spl2_456 ),
    inference(constrained_superposition,[],[f14792,f2452]) ).

thf(f15077,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_456 ),
    inference(trivial_inequality_removal,[],[f15065]) ).

thf(f15081,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_107
    | ~ spl2_456 ),
    inference(trivial_inequality_removal,[],[f15067]) ).

thf(f15085,plain,
    ( $false
    | ~ spl2_107
    | ~ spl2_278
    | ~ spl2_456 ),
    inference(forward_subsumption_resolution,[],[f15081,f8233]) ).

thf(f15086,plain,
    ( ~ spl2_107
    | ~ spl2_278
    | ~ spl2_456 ),
    inference(avatar_contradiction_clause,[],[f15085]) ).

thf(f15091,definition,
    ( spl2_461
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_461])],[avatar_definition]) ).

thf(f15092,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_461 ),
    inference(avatar_component_clause,[],[f15091]) ).

thf(f15094,plain,
    ( spl2_393
    | spl2_422 ),
    inference(avatar_split_clause,[],[f14098,f13627,f13047]) ).

thf(f15098,definition,
    ( spl2_462
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_462])],[avatar_definition]) ).

thf(f15099,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_462 ),
    inference(avatar_component_clause,[],[f15098]) ).

thf(f15157,definition,
    ( spl2_463
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_463])],[avatar_definition]) ).

thf(f15158,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_463 ),
    inference(avatar_component_clause,[],[f15157]) ).

thf(f15164,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_389
    | ~ spl2_406 ),
    inference(constrained_superposition,[],[f13030,f13160]) ).

thf(f15166,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_396
    | ~ spl2_406 ),
    inference(constrained_superposition,[],[f13059,f13160]) ).

thf(f15183,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_406 ),
    inference(constrained_superposition,[],[f171,f13160]) ).

thf(f15185,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_18
    | ~ spl2_406 ),
    inference(constrained_superposition,[],[f198,f13160]) ).

thf(f15187,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_406 ),
    inference(constrained_superposition,[],[f721,f13160]) ).

thf(f15192,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_101
    | ~ spl2_406 ),
    inference(constrained_superposition,[],[f1988,f13160]) ).

thf(f15195,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(constrained_superposition,[],[f5246,f13160]) ).

thf(f15271,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(constrained_superposition,[],[f5247,f13160]) ).

thf(f15283,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_18
    | ~ spl2_406 ),
    inference(duplicate_literal_removal,[],[f15185]) ).

thf(f15289,plain,
    ( $false
    | spl2_39
    | ~ spl2_389
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15164,f1472]) ).

thf(f15290,plain,
    ( spl2_39
    | ~ spl2_389
    | ~ spl2_406 ),
    inference(avatar_contradiction_clause,[],[f15289]) ).

thf(f15291,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_18
    | spl2_46
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15283,f505]) ).

thf(f15292,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_46
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15195,f505]) ).

thf(f15302,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_46
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15271,f505]) ).

thf(f15303,plain,
    ( $false
    | spl2_46
    | ~ spl2_396
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15166,f505]) ).

thf(f15304,plain,
    ( spl2_46
    | ~ spl2_396
    | ~ spl2_406 ),
    inference(avatar_contradiction_clause,[],[f15303]) ).

thf(f15317,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_29
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15183,f288]) ).

thf(f15318,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_101
    | spl2_137
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15192,f3844]) ).

thf(f15319,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_137
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15187,f3844]) ).

thf(f15324,plain,
    ( spl2_30
    | ~ spl2_33
    | ~ spl2_18
    | spl2_46
    | ~ spl2_406 ),
    inference(avatar_split_clause,[],[f15291,f13159,f504,f197,f317,f290]) ).

thf(f15325,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15292,f230]) ).

thf(f15333,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15302,f230]) ).

thf(f15345,plain,
    ( $false
    | spl2_29
    | spl2_46
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15317,f505]) ).

thf(f15346,plain,
    ( spl2_29
    | spl2_46
    | ~ spl2_406 ),
    inference(avatar_contradiction_clause,[],[f15345]) ).

thf(f15347,plain,
    ( ~ spl2_63
    | spl2_64
    | ~ spl2_101
    | spl2_137
    | ~ spl2_406 ),
    inference(avatar_split_clause,[],[f15318,f13159,f3843,f1987,f984,f981]) ).

thf(f15348,plain,
    ( $false
    | spl2_99
    | spl2_137
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15319,f1628]) ).

thf(f15349,plain,
    ( spl2_99
    | spl2_137
    | ~ spl2_406 ),
    inference(avatar_contradiction_clause,[],[f15348]) ).

thf(f15351,plain,
    ( $false
    | spl2_19
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15325,f1054]) ).

thf(f15352,plain,
    ( spl2_19
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(avatar_contradiction_clause,[],[f15351]) ).

thf(f15354,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_19
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(forward_subsumption_resolution,[],[f15333,f1054]) ).

thf(f15363,plain,
    ( spl2_253
    | spl2_19
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(avatar_split_clause,[],[f15354,f13159,f5158,f504,f229,f200,f8022]) ).

thf(f15391,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_386 ),
    inference(constrained_superposition,[],[f12930,f81]) ).

thf(f15403,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_386 ),
    inference(trivial_inequality_removal,[],[f15391]) ).

thf(f15404,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_21
    | ~ spl2_386 ),
    inference(forward_subsumption_resolution,[],[f15403,f9421]) ).

thf(f15405,plain,
    ( spl2_284
    | ~ spl2_21
    | ~ spl2_386 ),
    inference(avatar_split_clause,[],[f15404,f12929,f207,f8323]) ).

thf(f15433,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_461 ),
    inference(constrained_superposition,[],[f15092,f81]) ).

thf(f15444,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_461 ),
    inference(trivial_inequality_removal,[],[f15433]) ).

thf(f15448,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_275 ),
    inference(constrained_superposition,[],[f8213,f82]) ).

thf(f15451,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_275 ),
    inference(constrained_superposition,[],[f8213,f171]) ).

thf(f15453,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_275
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f8213,f10198]) ).

thf(f15468,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_275
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f15453]) ).

thf(f15471,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_275 ),
    inference(duplicate_literal_removal,[],[f15448]) ).

thf(f15472,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_275 ),
    inference(trivial_inequality_removal,[],[f15471]) ).

thf(f15474,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_275 ),
    inference(trivial_inequality_removal,[],[f15451]) ).

thf(f15477,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | spl2_115
    | ~ spl2_275 ),
    inference(forward_subsumption_resolution,[],[f15472,f2505]) ).

thf(f15479,definition,
    ( spl2_467
  <=> ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ sK1 ) @ X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_467])],[avatar_definition]) ).

thf(f15480,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ sK1 ) @ X0 ) )
    | ~ spl2_467 ),
    inference(avatar_component_clause,[],[f15479]) ).

thf(f15482,plain,
    ( spl2_467
    | ~ spl2_109
    | spl2_115
    | ~ spl2_275 ),
    inference(avatar_split_clause,[],[f15477,f8212,f2504,f2466,f15479]) ).

thf(f15485,plain,
    ( ( $true != $true )
    | ~ spl2_107
    | ~ spl2_467 ),
    inference(constrained_superposition,[],[f15480,f2452]) ).

thf(f15486,plain,
    ( ( $true != $true )
    | ~ spl2_285
    | ~ spl2_467 ),
    inference(constrained_superposition,[],[f15480,f8328]) ).

thf(f15487,plain,
    ( ( $true != $true )
    | ~ spl2_402
    | ~ spl2_467 ),
    inference(constrained_superposition,[],[f15480,f13096]) ).

thf(f15488,plain,
    ( ( $true != $true )
    | ~ spl2_116
    | ~ spl2_467 ),
    inference(constrained_superposition,[],[f15480,f2556]) ).

thf(f15492,plain,
    ( $false
    | ~ spl2_116
    | ~ spl2_467 ),
    inference(trivial_inequality_removal,[],[f15488]) ).

thf(f15493,plain,
    ( ~ spl2_116
    | ~ spl2_467 ),
    inference(avatar_contradiction_clause,[],[f15492]) ).

thf(f15494,plain,
    ( $false
    | ~ spl2_107
    | ~ spl2_467 ),
    inference(trivial_inequality_removal,[],[f15485]) ).

thf(f15495,plain,
    ( ~ spl2_107
    | ~ spl2_467 ),
    inference(avatar_contradiction_clause,[],[f15494]) ).

thf(f15498,plain,
    ( $false
    | ~ spl2_402
    | ~ spl2_467 ),
    inference(trivial_inequality_removal,[],[f15487]) ).

thf(f15499,plain,
    ( ~ spl2_402
    | ~ spl2_467 ),
    inference(avatar_contradiction_clause,[],[f15498]) ).

thf(f15503,plain,
    ( $false
    | ~ spl2_285
    | ~ spl2_467 ),
    inference(trivial_inequality_removal,[],[f15486]) ).

thf(f15504,plain,
    ( ~ spl2_285
    | ~ spl2_467 ),
    inference(avatar_contradiction_clause,[],[f15503]) ).

thf(f15506,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_415 ),
    inference(constrained_superposition,[],[f13380,f10198]) ).

thf(f15508,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_396
    | ~ spl2_415 ),
    inference(constrained_superposition,[],[f13380,f13059]) ).

thf(f15512,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_415 ),
    inference(constrained_superposition,[],[f13380,f13030]) ).

thf(f15520,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_396
    | ~ spl2_415 ),
    inference(trivial_inequality_removal,[],[f15508]) ).

thf(f15521,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_415 ),
    inference(trivial_inequality_removal,[],[f15506]) ).

thf(f15524,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_415 ),
    inference(trivial_inequality_removal,[],[f15512]) ).

thf(f15535,definition,
    ( spl2_468
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_468])],[avatar_definition]) ).

thf(f15536,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_468 ),
    inference(avatar_component_clause,[],[f15535]) ).

thf(f15539,plain,
    ( spl2_468
    | ~ spl2_389
    | ~ spl2_415 ),
    inference(avatar_split_clause,[],[f15524,f13379,f13029,f15535]) ).

thf(f15545,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_273
    | ~ spl2_468 ),
    inference(constrained_superposition,[],[f15536,f8176]) ).

thf(f15556,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_273
    | ~ spl2_468 ),
    inference(trivial_inequality_removal,[],[f15545]) ).

thf(f15566,plain,
    ( $false
    | ~ spl2_116
    | ~ spl2_273
    | ~ spl2_468 ),
    inference(forward_subsumption_resolution,[],[f15556,f2556]) ).

thf(f15567,plain,
    ( ~ spl2_116
    | ~ spl2_273
    | ~ spl2_468 ),
    inference(avatar_contradiction_clause,[],[f15566]) ).

thf(f15569,definition,
    ( spl2_469
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_469])],[avatar_definition]) ).

thf(f15570,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_469 ),
    inference(avatar_component_clause,[],[f15569]) ).

thf(f15580,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_393
    | ~ spl2_456 ),
    inference(constrained_superposition,[],[f15077,f13048]) ).

thf(f15585,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_393
    | ~ spl2_456 ),
    inference(trivial_inequality_removal,[],[f15580]) ).

thf(f15587,plain,
    ( spl2_400
    | ~ spl2_393
    | ~ spl2_456 ),
    inference(avatar_split_clause,[],[f15585,f14791,f13047,f13088]) ).

thf(f15589,definition,
    ( spl2_470
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_470])],[avatar_definition]) ).

thf(f15590,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_470 ),
    inference(avatar_component_clause,[],[f15589]) ).

thf(f15651,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_20
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f205,f13813]) ).

thf(f15652,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_92
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f1429,f13813]) ).

thf(f15654,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_15
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f188,f13813]) ).

thf(f15669,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_15
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f15654]) ).

thf(f15673,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_20
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f15651]) ).

thf(f15684,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_92
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f15652]) ).

thf(f15689,plain,
    ( ~ spl2_422
    | ~ spl2_15
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f15669,f13812,f187,f13627]) ).

thf(f15705,definition,
    ( spl2_473
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_473])],[avatar_definition]) ).

thf(f15706,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | spl2_473 ),
    inference(avatar_component_clause,[],[f15705]) ).

thf(f15707,plain,
    ( spl2_439
    | ~ spl2_473
    | spl2_402
    | ~ spl2_92
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f15684,f13812,f1428,f13095,f15705,f14118]) ).

thf(f15710,definition,
    ( spl2_474
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_474])],[avatar_definition]) ).

thf(f15711,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_474 ),
    inference(avatar_component_clause,[],[f15710]) ).

thf(f15713,definition,
    ( spl2_475
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_475])],[avatar_definition]) ).

thf(f15714,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_475 ),
    inference(avatar_component_clause,[],[f15713]) ).

thf(f15724,definition,
    ( spl2_477
  <=> ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_477])],[avatar_definition]) ).

thf(f15725,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_477 ),
    inference(avatar_component_clause,[],[f15724]) ).

thf(f15731,plain,
    ( ~ spl2_400
    | ~ spl2_20
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f15673,f13812,f204,f13088]) ).

thf(f15736,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | spl2_473 ),
    inference(constrained_superposition,[],[f15706,f50]) ).

thf(f15737,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | spl2_473 ),
    inference(constrained_superposition,[],[f15706,f27]) ).

thf(f15738,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | spl2_473 ),
    inference(trivial_inequality_removal,[],[f15736]) ).

thf(f15739,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | spl2_473 ),
    inference(trivial_inequality_removal,[],[f15737]) ).

thf(f15740,plain,
    ( $false
    | spl2_389
    | spl2_473 ),
    inference(forward_subsumption_resolution,[],[f15738,f13218]) ).

thf(f15741,plain,
    ( spl2_389
    | spl2_473 ),
    inference(avatar_contradiction_clause,[],[f15740]) ).

thf(f15742,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | spl2_473 ),
    inference(forward_subsumption_resolution,[],[f15739,f41]) ).

thf(f15743,plain,
    ( $false
    | spl2_389
    | spl2_473 ),
    inference(forward_subsumption_resolution,[],[f15742,f13218]) ).

thf(f15744,plain,
    ( spl2_389
    | spl2_473 ),
    inference(avatar_contradiction_clause,[],[f15743]) ).

thf(f15757,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | spl2_475 ),
    inference(constrained_superposition,[],[f15714,f81]) ).

thf(f15761,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_475 ),
    inference(trivial_inequality_removal,[],[f15757]) ).

thf(f15764,plain,
    ( $false
    | spl2_399
    | spl2_475 ),
    inference(forward_subsumption_resolution,[],[f15761,f14795]) ).

thf(f15765,plain,
    ( spl2_399
    | spl2_475 ),
    inference(avatar_contradiction_clause,[],[f15764]) ).

thf(f15771,plain,
    ( ~ spl2_399
    | spl2_412
    | ~ spl2_260
    | ~ spl2_338 ),
    inference(avatar_split_clause,[],[f15014,f10809,f8085,f13230,f13084]) ).

thf(f15773,definition,
    ( spl2_478
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_478])],[avatar_definition]) ).

thf(f15774,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_478 ),
    inference(avatar_component_clause,[],[f15773]) ).

thf(f15775,plain,
    ( spl2_478
    | ~ spl2_399
    | ~ spl2_275
    | ~ spl2_314 ),
    inference(avatar_split_clause,[],[f15468,f10197,f8212,f13084,f15773]) ).

thf(f15777,plain,
    ( spl2_399
    | spl2_475 ),
    inference(avatar_split_clause,[],[f15761,f15713,f13084]) ).

thf(f15783,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_399
    | ~ spl2_415 ),
    inference(constrained_superposition,[],[f13380,f13085]) ).

thf(f15792,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_399
    | ~ spl2_415 ),
    inference(trivial_inequality_removal,[],[f15783]) ).

thf(f15851,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_316
    | ~ spl2_399
    | ~ spl2_415 ),
    inference(constrained_superposition,[],[f15792,f10206]) ).

thf(f15871,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_316
    | ~ spl2_399
    | ~ spl2_415 ),
    inference(trivial_inequality_removal,[],[f15851]) ).

thf(f15876,plain,
    ( $false
    | ~ spl2_316
    | ~ spl2_399
    | ~ spl2_415 ),
    inference(forward_subsumption_resolution,[],[f15871,f13085]) ).

thf(f15877,plain,
    ( ~ spl2_316
    | ~ spl2_399
    | ~ spl2_415 ),
    inference(avatar_contradiction_clause,[],[f15876]) ).

thf(f15884,plain,
    ( spl2_469
    | ~ spl2_396
    | ~ spl2_415 ),
    inference(avatar_split_clause,[],[f15520,f13379,f13058,f15569]) ).

thf(f15919,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_56
    | spl2_396 ),
    inference(constrained_superposition,[],[f14581,f867]) ).

thf(f15930,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_56
    | spl2_396 ),
    inference(trivial_inequality_removal,[],[f15919]) ).

thf(f15935,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_40
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f390,f13225]) ).

thf(f15946,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f183,f13225]) ).

thf(f15968,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_411 ),
    inference(duplicate_literal_removal,[],[f15946]) ).

thf(f15969,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f15968]) ).

thf(f15977,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_40
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f15935]) ).

thf(f15992,definition,
    ( spl2_479
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_479])],[avatar_definition]) ).

thf(f15993,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_479 ),
    inference(avatar_component_clause,[],[f15992]) ).

thf(f16026,plain,
    ( ~ spl2_400
    | ~ spl2_475
    | ~ spl2_40
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f15977,f13224,f389,f15713,f13088]) ).

thf(f16040,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_43
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f485,f1276]) ).

thf(f16054,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_43
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f16040]) ).

thf(f16058,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_67 ),
    inference(avatar_component_clause,[],[f994]) ).

thf(f16060,plain,
    ( ~ spl2_67
    | ~ spl2_43
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f16054,f1275,f484,f994]) ).

thf(f16096,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_314
    | ~ spl2_478 ),
    inference(constrained_superposition,[],[f15774,f10198]) ).

thf(f16097,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_260
    | ~ spl2_478 ),
    inference(constrained_superposition,[],[f15774,f8086]) ).

thf(f16109,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_260
    | ~ spl2_478 ),
    inference(trivial_inequality_removal,[],[f16097]) ).

thf(f16110,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_314
    | ~ spl2_478 ),
    inference(trivial_inequality_removal,[],[f16096]) ).

thf(f16118,plain,
    ( $false
    | ~ spl2_260
    | ~ spl2_285
    | ~ spl2_478 ),
    inference(forward_subsumption_resolution,[],[f16109,f8328]) ).

thf(f16119,plain,
    ( ~ spl2_260
    | ~ spl2_285
    | ~ spl2_478 ),
    inference(avatar_contradiction_clause,[],[f16118]) ).

thf(f16120,plain,
    ( $false
    | ~ spl2_107
    | ~ spl2_314
    | ~ spl2_478 ),
    inference(forward_subsumption_resolution,[],[f16110,f2452]) ).

thf(f16121,plain,
    ( ~ spl2_107
    | ~ spl2_314
    | ~ spl2_478 ),
    inference(avatar_contradiction_clause,[],[f16120]) ).

thf(f16122,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_314
    | ~ spl2_316
    | ~ spl2_415 ),
    inference(constrained_superposition,[],[f15521,f10206]) ).

thf(f16138,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_314
    | ~ spl2_316
    | ~ spl2_415 ),
    inference(trivial_inequality_removal,[],[f16122]) ).

thf(f16146,plain,
    ( $false
    | ~ spl2_314
    | ~ spl2_316
    | ~ spl2_415 ),
    inference(forward_subsumption_resolution,[],[f16138,f10198]) ).

thf(f16147,plain,
    ( ~ spl2_314
    | ~ spl2_316
    | ~ spl2_415 ),
    inference(avatar_contradiction_clause,[],[f16146]) ).

thf(f16154,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_262
    | ~ spl2_322 ),
    inference(constrained_superposition,[],[f10283,f8093]) ).

thf(f16165,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_262
    | ~ spl2_322 ),
    inference(trivial_inequality_removal,[],[f16154]) ).

thf(f16170,plain,
    ( ~ spl2_343
    | ~ spl2_262
    | ~ spl2_322 ),
    inference(avatar_split_clause,[],[f16165,f10282,f8092,f10940]) ).

thf(f16174,definition,
    ( spl2_485
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_485])],[avatar_definition]) ).

thf(f16175,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_485 ),
    inference(avatar_component_clause,[],[f16174]) ).

thf(f16176,plain,
    ( spl2_115
    | spl2_485
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f14390,f8156,f16174,f2504]) ).

thf(f16178,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_72
    | spl2_73
    | ~ spl2_82 ),
    inference(forward_subsumption_resolution,[],[f10175,f3001]) ).

thf(f16179,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f14463,f8332]) ).

thf(f16181,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_24
    | spl2_72 ),
    inference(forward_subsumption_resolution,[],[f10183,f81]) ).

thf(f16183,plain,
    ( ~ spl2_26
    | spl2_121
    | spl2_288
    | ~ spl2_275 ),
    inference(avatar_split_clause,[],[f15474,f8212,f8337,f2681,f244]) ).

thf(f16187,plain,
    ( ~ spl2_26
    | spl2_269
    | spl2_104
    | ~ spl2_338 ),
    inference(avatar_split_clause,[],[f15009,f10809,f2266,f8159,f244]) ).

thf(f16188,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | spl2_396
    | ~ spl2_411 ),
    inference(forward_subsumption_resolution,[],[f15969,f14581]) ).

thf(f16200,plain,
    ( ~ spl2_12
    | ~ spl2_24
    | ~ spl2_40 ),
    inference(avatar_split_clause,[],[f13552,f389,f229,f150]) ).

thf(f16202,definition,
    ( spl2_488
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_488])],[avatar_definition]) ).

thf(f16203,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_488 ),
    inference(avatar_component_clause,[],[f16202]) ).

thf(f16213,definition,
    ( spl2_490
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_490])],[avatar_definition]) ).

thf(f16214,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_490 ),
    inference(avatar_component_clause,[],[f16213]) ).

thf(f16218,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_72
    | spl2_73
    | ~ spl2_82 ),
    inference(forward_subsumption_resolution,[],[f16178,f1225]) ).

thf(f16219,plain,
    ( ~ spl2_29
    | spl2_30
    | spl2_286 ),
    inference(avatar_split_clause,[],[f16179,f8331,f290,f287]) ).

thf(f16224,plain,
    ( spl2_30
    | ~ spl2_29
    | spl2_396
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f16188,f13224,f13058,f287,f290]) ).

thf(f16229,plain,
    ( ~ spl2_63
    | ~ spl2_12
    | spl2_72
    | spl2_73
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f16218,f1224,f1045,f1042,f150,f981]) ).

thf(f16275,definition,
    ( spl2_492
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_492])],[avatar_definition]) ).

thf(f16276,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_492 ),
    inference(avatar_component_clause,[],[f16275]) ).

thf(f16285,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_30 ),
    inference(constrained_superposition,[],[f291,f81]) ).

thf(f16286,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ~ spl2_30 ),
    inference(constrained_superposition,[],[f291,f50]) ).

thf(f16289,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_30 ),
    inference(trivial_inequality_removal,[],[f16285]) ).

thf(f16292,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_30 ),
    inference(trivial_inequality_removal,[],[f16286]) ).

thf(f16293,plain,
    ( spl2_26
    | ~ spl2_30 ),
    inference(avatar_split_clause,[],[f16289,f290,f244]) ).

thf(f16294,plain,
    ( spl2_39
    | ~ spl2_30 ),
    inference(avatar_split_clause,[],[f16292,f290,f385]) ).

thf(f16310,plain,
    ( ( $true != $true )
    | ~ spl2_11
    | spl2_73 ),
    inference(constrained_superposition,[],[f3001,f148]) ).

thf(f16311,plain,
    ( ( $true != $true )
    | ~ spl2_11
    | spl2_399 ),
    inference(constrained_superposition,[],[f14795,f148]) ).

thf(f16325,plain,
    ( $false
    | ~ spl2_11
    | spl2_399 ),
    inference(trivial_inequality_removal,[],[f16311]) ).

thf(f16326,plain,
    ( ~ spl2_11
    | spl2_399 ),
    inference(avatar_contradiction_clause,[],[f16325]) ).

thf(f16336,plain,
    ( $false
    | ~ spl2_11
    | spl2_73 ),
    inference(trivial_inequality_removal,[],[f16310]) ).

thf(f16337,plain,
    ( ~ spl2_11
    | spl2_73 ),
    inference(avatar_contradiction_clause,[],[f16336]) ).

thf(f16351,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_23
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f227,f245]) ).

thf(f16352,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_4
    | ~ spl2_26
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f5900,f245]) ).

thf(f16353,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_26
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f2583,f245]) ).

thf(f16357,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_23
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f16351]) ).

thf(f16362,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_26
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f16353]) ).

thf(f16363,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_26
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f16352]) ).

thf(f16438,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_104
    | ~ spl2_463 ),
    inference(constrained_superposition,[],[f2267,f15158]) ).

thf(f16442,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_26
    | ~ spl2_104 ),
    inference(constrained_superposition,[],[f2267,f245]) ).

thf(f16453,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_26
    | ~ spl2_104 ),
    inference(trivial_inequality_removal,[],[f16442]) ).

thf(f16454,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_104
    | ~ spl2_463 ),
    inference(trivial_inequality_removal,[],[f16438]) ).

thf(f16457,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_26
    | ~ spl2_104 ),
    inference(forward_subsumption_resolution,[],[f16453,f99]) ).

thf(f16458,plain,
    ( ~ spl2_4
    | ~ spl2_26
    | ~ spl2_104 ),
    inference(avatar_contradiction_clause,[],[f16457]) ).

thf(f16459,plain,
    ( $false
    | ~ spl2_104
    | ~ spl2_393
    | ~ spl2_463 ),
    inference(forward_subsumption_resolution,[],[f16454,f13048]) ).

thf(f16460,plain,
    ( ~ spl2_104
    | ~ spl2_393
    | ~ spl2_463 ),
    inference(avatar_contradiction_clause,[],[f16459]) ).

thf(f16616,definition,
    ( spl2_494
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_494])],[avatar_definition]) ).

thf(f16617,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_494 ),
    inference(avatar_component_clause,[],[f16616]) ).

thf(f16635,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_103
    | ~ spl2_392 ),
    inference(constrained_superposition,[],[f2148,f13043]) ).

thf(f16642,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_103
    | ~ spl2_392 ),
    inference(trivial_inequality_removal,[],[f16635]) ).

thf(f16645,plain,
    ( $false
    | ~ spl2_103
    | ~ spl2_392
    | ~ spl2_393 ),
    inference(forward_subsumption_resolution,[],[f16642,f13048]) ).

thf(f16646,plain,
    ( ~ spl2_103
    | ~ spl2_392
    | ~ spl2_393 ),
    inference(avatar_contradiction_clause,[],[f16645]) ).

thf(f16662,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_56
    | spl2_389
    | spl2_396 ),
    inference(forward_subsumption_resolution,[],[f15930,f13218]) ).

thf(f16668,definition,
    ( spl2_496
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_496])],[avatar_definition]) ).

thf(f16669,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_496 ),
    inference(avatar_component_clause,[],[f16668]) ).

thf(f16672,plain,
    ( spl2_393
    | ~ spl2_56
    | spl2_389
    | spl2_396 ),
    inference(avatar_split_clause,[],[f16662,f13058,f13029,f866,f13047]) ).

thf(f16684,plain,
    ( spl2_104
    | ~ spl2_39
    | ~ spl2_4
    | ~ spl2_26
    | ~ spl2_116 ),
    inference(avatar_split_clause,[],[f16363,f2543,f244,f98,f385,f2266]) ).

thf(f16690,plain,
    ( ~ spl2_39
    | ~ spl2_23
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f16357,f244,f226,f385]) ).

thf(f16691,plain,
    ( spl2_94
    | ~ spl2_39
    | ~ spl2_26
    | ~ spl2_116 ),
    inference(avatar_split_clause,[],[f16362,f2543,f244,f385,f1474]) ).

thf(f16695,plain,
    ( spl2_118
    | ~ spl2_8
    | ~ spl2_89
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f6669,f1224,f1337,f111,f2553]) ).

thf(f16696,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( sK1 = X0 ) )
    | spl2_67
    | ~ spl2_82 ),
    inference(forward_subsumption_resolution,[],[f6683,f16058]) ).

thf(f16705,definition,
    ( spl2_499
  <=> ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_499])],[avatar_definition]) ).

thf(f16706,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_499 ),
    inference(avatar_component_clause,[],[f16705]) ).

thf(f16710,definition,
    ( spl2_500
  <=> ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_500])],[avatar_definition]) ).

thf(f16711,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_500 ),
    inference(avatar_component_clause,[],[f16710]) ).

thf(f16714,definition,
    ( spl2_501
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_501])],[avatar_definition]) ).

thf(f16715,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_501 ),
    inference(avatar_component_clause,[],[f16714]) ).

thf(f16717,plain,
    ( ~ spl2_8
    | spl2_120
    | spl2_67
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f16696,f1224,f994,f2568,f111]) ).

thf(f16754,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_6
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f106,f230]) ).

thf(f16755,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_6
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f106,f1225]) ).

thf(f16756,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_6
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f106,f8168]) ).

thf(f16757,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_6
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f106,f8342]) ).

thf(f16761,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_6
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f16754]) ).

thf(f16762,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_6
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f16755]) ).

thf(f16764,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_6
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f16757]) ).

thf(f16765,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_6
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f16756]) ).

thf(f16768,plain,
    ( ~ spl2_33
    | ~ spl2_6
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f16761,f229,f105,f317]) ).

thf(f16769,plain,
    ( ~ spl2_89
    | ~ spl2_6
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f16762,f1224,f105,f1337]) ).

thf(f16770,plain,
    ( ~ spl2_343
    | ~ spl2_6
    | ~ spl2_289 ),
    inference(avatar_split_clause,[],[f16764,f8341,f105,f10940]) ).

thf(f16771,plain,
    ( ~ spl2_362
    | ~ spl2_6
    | ~ spl2_115 ),
    inference(avatar_split_clause,[],[f16765,f2504,f105,f11611]) ).

thf(f16779,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_15 ),
    inference(constrained_superposition,[],[f188,f27]) ).

thf(f16780,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_15 ),
    inference(trivial_inequality_removal,[],[f16779]) ).

thf(f16784,plain,
    ( spl2_499
    | ~ spl2_15 ),
    inference(avatar_split_clause,[],[f16780,f187,f16705]) ).

thf(f16802,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_15
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f188,f8160]) ).

thf(f16804,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f363,f8160]) ).

thf(f16826,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_15
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f16802]) ).

thf(f16833,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f16804]) ).

thf(f16841,plain,
    ( ~ spl2_343
    | ~ spl2_15
    | ~ spl2_269 ),
    inference(avatar_split_clause,[],[f16826,f8159,f187,f10940]) ).

thf(f16902,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_4
    | ~ spl2_419 ),
    inference(constrained_superposition,[],[f13611,f99]) ).

thf(f16904,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_292
    | ~ spl2_419 ),
    inference(constrained_superposition,[],[f13611,f8423]) ).

thf(f16906,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_4
    | ~ spl2_419 ),
    inference(trivial_inequality_removal,[],[f16902]) ).

thf(f16907,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_292
    | ~ spl2_419 ),
    inference(trivial_inequality_removal,[],[f16904]) ).

thf(f16910,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_419 ),
    inference(forward_subsumption_resolution,[],[f16906,f2556]) ).

thf(f16911,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_419 ),
    inference(avatar_contradiction_clause,[],[f16910]) ).

thf(f16912,plain,
    ( $false
    | ~ spl2_255
    | ~ spl2_292
    | ~ spl2_419 ),
    inference(forward_subsumption_resolution,[],[f16907,f8029]) ).

thf(f16913,plain,
    ( ~ spl2_255
    | ~ spl2_292
    | ~ spl2_419 ),
    inference(avatar_contradiction_clause,[],[f16912]) ).

thf(f16959,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_266
    | ~ spl2_386 ),
    inference(constrained_superposition,[],[f12930,f8107]) ).

thf(f16973,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_266
    | ~ spl2_386 ),
    inference(trivial_inequality_removal,[],[f16959]) ).

thf(f16977,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_266
    | ~ spl2_386 ),
    inference(constrained_superposition,[],[f16973,f52]) ).

thf(f16979,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_266
    | ~ spl2_386 ),
    inference(trivial_inequality_removal,[],[f16977]) ).

thf(f16981,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_72
    | ~ spl2_266
    | ~ spl2_386 ),
    inference(forward_subsumption_resolution,[],[f16979,f7885]) ).

thf(f16983,plain,
    ( spl2_106
    | spl2_72
    | ~ spl2_266
    | ~ spl2_386 ),
    inference(avatar_split_clause,[],[f16981,f12929,f8106,f1042,f2448]) ).

thf(f16989,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_496 ),
    inference(constrained_superposition,[],[f16669,f50]) ).

thf(f16992,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_496 ),
    inference(trivial_inequality_removal,[],[f16989]) ).

thf(f17000,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | spl2_389
    | ~ spl2_496 ),
    inference(forward_subsumption_resolution,[],[f16992,f13218]) ).

thf(f17001,plain,
    ( ~ spl2_16
    | spl2_389
    | ~ spl2_496 ),
    inference(avatar_split_clause,[],[f17000,f16668,f13029,f190]) ).

thf(f17036,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_68 ),
    inference(constrained_superposition,[],[f30,f999]) ).

thf(f17038,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) ) )
    | ~ spl2_68 ),
    inference(trivial_inequality_removal,[],[f17036]) ).

thf(f17059,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_314
    | ~ spl2_470 ),
    inference(constrained_superposition,[],[f15590,f10198]) ).

thf(f17060,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_395
    | ~ spl2_470 ),
    inference(constrained_superposition,[],[f15590,f13055]) ).

thf(f17063,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_399
    | ~ spl2_470 ),
    inference(constrained_superposition,[],[f15590,f13085]) ).

thf(f17071,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_399
    | ~ spl2_470 ),
    inference(trivial_inequality_removal,[],[f17063]) ).

thf(f17075,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_395
    | ~ spl2_470 ),
    inference(trivial_inequality_removal,[],[f17060]) ).

thf(f17076,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_470 ),
    inference(trivial_inequality_removal,[],[f17059]) ).

thf(f17078,plain,
    ( spl2_456
    | ~ spl2_399
    | ~ spl2_470 ),
    inference(avatar_split_clause,[],[f17071,f15589,f13084,f14791]) ).

thf(f17079,plain,
    ( spl2_103
    | ~ spl2_395
    | ~ spl2_470 ),
    inference(avatar_split_clause,[],[f17075,f15589,f13054,f2147]) ).

thf(f17080,plain,
    ( spl2_276
    | ~ spl2_314
    | ~ spl2_470 ),
    inference(avatar_split_clause,[],[f17076,f15589,f10197,f8216]) ).

thf(f17082,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_501 ),
    inference(constrained_superposition,[],[f16715,f170]) ).

thf(f17089,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_501 ),
    inference(trivial_inequality_removal,[],[f17082]) ).

thf(f17108,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f14158,f10198]) ).

thf(f17109,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f14158,f13055]) ).

thf(f17112,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_399
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f14158,f13085]) ).

thf(f17117,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_399
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f17112]) ).

thf(f17118,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(duplicate_literal_removal,[],[f17109]) ).

thf(f17119,plain,
    ( ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
       != $true )
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f17118]) ).

thf(f17125,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f17108]) ).

thf(f17126,plain,
    ( ( $true != $true )
    | ~ spl2_86
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f17119,f1276]) ).

thf(f17128,plain,
    ( ( $true != $true )
    | ~ spl2_392
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f17119,f13043]) ).

thf(f17132,plain,
    ( ( $true != $true )
    | ~ spl2_68
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f17119,f999]) ).

thf(f17139,plain,
    ( $false
    | ~ spl2_86
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f17126]) ).

thf(f17140,plain,
    ( ~ spl2_86
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(avatar_contradiction_clause,[],[f17139]) ).

thf(f17141,plain,
    ( $false
    | ~ spl2_392
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f17128]) ).

thf(f17142,plain,
    ( ~ spl2_392
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(avatar_contradiction_clause,[],[f17141]) ).

thf(f17143,plain,
    ( $false
    | ~ spl2_68
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f17132]) ).

thf(f17144,plain,
    ( ~ spl2_68
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(avatar_contradiction_clause,[],[f17143]) ).

thf(f17156,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_392
    | ~ spl2_399
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f17117,f13043]) ).

thf(f17160,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_68
    | ~ spl2_399
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f17117,f999]) ).

thf(f17170,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_68
    | ~ spl2_399
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f17160]) ).

thf(f17171,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_392
    | ~ spl2_399
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f17156]) ).

thf(f17175,plain,
    ( $false
    | ~ spl2_68
    | ~ spl2_116
    | ~ spl2_399
    | ~ spl2_440 ),
    inference(forward_subsumption_resolution,[],[f17170,f2556]) ).

thf(f17176,plain,
    ( ~ spl2_68
    | ~ spl2_116
    | ~ spl2_399
    | ~ spl2_440 ),
    inference(avatar_contradiction_clause,[],[f17175]) ).

thf(f17177,plain,
    ( $false
    | ~ spl2_392
    | ~ spl2_399
    | ~ spl2_402
    | ~ spl2_440 ),
    inference(forward_subsumption_resolution,[],[f17171,f13096]) ).

thf(f17178,plain,
    ( ~ spl2_392
    | ~ spl2_399
    | ~ spl2_402
    | ~ spl2_440 ),
    inference(avatar_contradiction_clause,[],[f17177]) ).

thf(f17188,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_314
    | ~ spl2_316
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f17125,f10206]) ).

thf(f17195,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_314
    | ~ spl2_316
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f17188]) ).

thf(f17204,plain,
    ( $false
    | ~ spl2_314
    | ~ spl2_316
    | ~ spl2_392
    | ~ spl2_440 ),
    inference(forward_subsumption_resolution,[],[f17195,f13043]) ).

thf(f17205,plain,
    ( ~ spl2_314
    | ~ spl2_316
    | ~ spl2_392
    | ~ spl2_440 ),
    inference(avatar_contradiction_clause,[],[f17204]) ).

thf(f17303,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f17038,f8435]) ).

thf(f17306,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f17303]) ).

thf(f17313,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_255
    | ~ spl2_295 ),
    inference(forward_subsumption_resolution,[],[f17306,f8029]) ).

thf(f17314,plain,
    ( spl2_302
    | ~ spl2_68
    | ~ spl2_255
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f17313,f8434,f8028,f998,f8846]) ).

thf(f17332,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_442 ),
    inference(constrained_superposition,[],[f14373,f13030]) ).

thf(f17336,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_442 ),
    inference(trivial_inequality_removal,[],[f17332]) ).

thf(f17345,plain,
    ( spl2_276
    | ~ spl2_389
    | ~ spl2_442 ),
    inference(avatar_split_clause,[],[f17336,f14372,f13029,f8216]) ).

thf(f17351,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_289
    | ~ spl2_448 ),
    inference(constrained_superposition,[],[f14681,f8342]) ).

thf(f17358,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_289
    | ~ spl2_448 ),
    inference(trivial_inequality_removal,[],[f17351]) ).

thf(f17360,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_24
    | ~ spl2_289
    | ~ spl2_448 ),
    inference(forward_subsumption_resolution,[],[f17358,f230]) ).

thf(f17361,plain,
    ( ~ spl2_63
    | ~ spl2_24
    | ~ spl2_289
    | ~ spl2_448 ),
    inference(avatar_split_clause,[],[f17360,f14680,f8341,f229,f981]) ).

thf(f17364,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_63 ),
    inference(constrained_superposition,[],[f982,f27]) ).

thf(f17365,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_63 ),
    inference(trivial_inequality_removal,[],[f17364]) ).

thf(f17368,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_63
    | spl2_72 ),
    inference(forward_subsumption_resolution,[],[f17365,f7885]) ).

thf(f17370,plain,
    ( spl2_73
    | spl2_63
    | spl2_72 ),
    inference(avatar_split_clause,[],[f17368,f1042,f981,f1045]) ).

thf(f17409,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_120 ),
    inference(constrained_superposition,[],[f2569,f81]) ).

thf(f17410,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_120 ),
    inference(trivial_inequality_removal,[],[f17409]) ).

thf(f17413,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_120 ),
    inference(forward_subsumption_resolution,[],[f17410,f41]) ).

thf(f17415,plain,
    ( spl2_7
    | ~ spl2_120 ),
    inference(avatar_split_clause,[],[f17413,f2568,f108]) ).

thf(f17421,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_73
    | ~ spl2_132 ),
    inference(constrained_superposition,[],[f3263,f1046]) ).

thf(f17428,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_73
    | ~ spl2_132 ),
    inference(trivial_inequality_removal,[],[f17421]) ).

thf(f17436,plain,
    ( spl2_198
    | ~ spl2_73
    | ~ spl2_132 ),
    inference(avatar_split_clause,[],[f17428,f3262,f1045,f5104]) ).

thf(f17440,definition,
    ( spl2_505
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_505])],[avatar_definition]) ).

thf(f17441,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_505 ),
    inference(avatar_component_clause,[],[f17440]) ).

thf(f17580,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_261
    | ~ spl2_338 ),
    inference(constrained_superposition,[],[f10810,f8090]) ).

thf(f17585,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_338 ),
    inference(trivial_inequality_removal,[],[f17580]) ).

thf(f17596,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_273
    | ~ spl2_338 ),
    inference(forward_subsumption_resolution,[],[f17585,f8176]) ).

thf(f17597,plain,
    ( spl2_276
    | ~ spl2_261
    | ~ spl2_273
    | ~ spl2_338 ),
    inference(avatar_split_clause,[],[f17596,f10809,f8175,f8089,f8216]) ).

thf(f17651,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_106
    | ~ spl2_357 ),
    inference(constrained_superposition,[],[f11057,f2449]) ).

thf(f17660,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_106
    | ~ spl2_357 ),
    inference(trivial_inequality_removal,[],[f17651]) ).

thf(f17668,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_96
    | ~ spl2_106
    | ~ spl2_357 ),
    inference(forward_subsumption_resolution,[],[f17660,f1520]) ).

thf(f17671,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_395 ),
    inference(avatar_component_clause,[],[f13054]) ).

thf(f17673,plain,
    ( spl2_104
    | ~ spl2_96
    | ~ spl2_106
    | ~ spl2_357 ),
    inference(avatar_split_clause,[],[f17668,f11056,f2448,f1519,f2266]) ).

thf(f17686,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_437 ),
    inference(avatar_component_clause,[],[f13998]) ).

thf(f17776,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_401
    | ~ spl2_463 ),
    inference(constrained_superposition,[],[f13092,f15158]) ).

thf(f17780,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_401 ),
    inference(constrained_superposition,[],[f13092,f8100]) ).

thf(f17781,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_316
    | ~ spl2_401 ),
    inference(constrained_superposition,[],[f13092,f10206]) ).

thf(f17788,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_401 ),
    inference(trivial_inequality_removal,[],[f17780]) ).

thf(f17791,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_401
    | ~ spl2_463 ),
    inference(trivial_inequality_removal,[],[f17776]) ).

thf(f17797,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_316
    | ~ spl2_401 ),
    inference(trivial_inequality_removal,[],[f17781]) ).

thf(f17801,definition,
    ( spl2_510
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_510])],[avatar_definition]) ).

thf(f17802,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_510 ),
    inference(avatar_component_clause,[],[f17801]) ).

thf(f17803,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_284 ),
    inference(avatar_component_clause,[],[f8323]) ).

thf(f17804,plain,
    ( spl2_510
    | ~ spl2_284
    | ~ spl2_264
    | ~ spl2_401 ),
    inference(avatar_split_clause,[],[f17788,f13091,f8099,f8323,f17801]) ).

thf(f17805,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_26
    | ~ spl2_401
    | ~ spl2_463 ),
    inference(forward_subsumption_resolution,[],[f17791,f245]) ).

thf(f17807,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_316
    | ~ spl2_401 ),
    inference(forward_subsumption_resolution,[],[f17797,f8176]) ).

thf(f17808,plain,
    ( spl2_104
    | ~ spl2_26
    | ~ spl2_401
    | ~ spl2_463 ),
    inference(avatar_split_clause,[],[f17805,f15157,f13091,f244,f2266]) ).

thf(f17810,plain,
    ( spl2_276
    | ~ spl2_273
    | ~ spl2_316
    | ~ spl2_401 ),
    inference(avatar_split_clause,[],[f17807,f13091,f10205,f8175,f8216]) ).

thf(f17816,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f9420,f1276]) ).

thf(f17818,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f9420,f11147]) ).

thf(f17822,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_86
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f17816]) ).

thf(f17825,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_268
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f17818]) ).

thf(f17829,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_273
    | ~ spl2_303 ),
    inference(forward_subsumption_resolution,[],[f17825,f8176]) ).

thf(f17834,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_273
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f17829,f8176]) ).

thf(f17843,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_273
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f17834]) ).

thf(f17847,plain,
    ( spl2_198
    | ~ spl2_268
    | ~ spl2_273
    | ~ spl2_303 ),
    inference(avatar_split_clause,[],[f17843,f9419,f8175,f8156,f5104]) ).

thf(f17850,definition,
    ( spl2_511
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_511])],[avatar_definition]) ).

thf(f17851,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_511 ),
    inference(avatar_component_clause,[],[f17850]) ).

thf(f17852,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_273 ),
    inference(avatar_component_clause,[],[f8175]) ).

thf(f17853,plain,
    ( spl2_511
    | ~ spl2_273
    | ~ spl2_268
    | ~ spl2_303 ),
    inference(avatar_split_clause,[],[f17825,f9419,f8156,f8175,f17850]) ).

thf(f17856,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_284
    | ~ spl2_461 ),
    inference(forward_subsumption_resolution,[],[f15444,f17803]) ).

thf(f17863,plain,
    ( ~ spl2_111
    | spl2_284
    | ~ spl2_461 ),
    inference(avatar_split_clause,[],[f17856,f15091,f8323,f2474]) ).

thf(f17963,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_263
    | ~ spl2_386 ),
    inference(constrained_superposition,[],[f12930,f8097]) ).

thf(f17966,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_263 ),
    inference(constrained_superposition,[],[f183,f8097]) ).

thf(f17980,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_263
    | ~ spl2_386 ),
    inference(trivial_inequality_removal,[],[f17963]) ).

thf(f17993,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_263 ),
    inference(trivial_inequality_removal,[],[f17966]) ).

thf(f18001,plain,
    ( $false
    | ~ spl2_263
    | ~ spl2_386
    | ~ spl2_433 ),
    inference(forward_subsumption_resolution,[],[f17980,f13813]) ).

thf(f18002,plain,
    ( ~ spl2_263
    | ~ spl2_386
    | ~ spl2_433 ),
    inference(avatar_contradiction_clause,[],[f18001]) ).

thf(f18012,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_263
    | ~ spl2_411 ),
    inference(forward_subsumption_resolution,[],[f17993,f13225]) ).

thf(f18014,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_263
    | spl2_286
    | ~ spl2_411 ),
    inference(forward_subsumption_resolution,[],[f18012,f8332]) ).

thf(f18015,plain,
    ( spl2_496
    | ~ spl2_263
    | spl2_286
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f18014,f13224,f8331,f8096,f16668]) ).

thf(f18030,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_434 ),
    inference(constrained_superposition,[],[f13816,f8086]) ).

thf(f18035,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_389
    | ~ spl2_434 ),
    inference(constrained_superposition,[],[f13816,f13030]) ).

thf(f18039,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_434 ),
    inference(trivial_inequality_removal,[],[f18035]) ).

thf(f18043,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_260
    | ~ spl2_434 ),
    inference(duplicate_literal_removal,[],[f18030]) ).

thf(f18044,plain,
    ( ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
       != $true )
    | ~ spl2_260
    | ~ spl2_434 ),
    inference(trivial_inequality_removal,[],[f18043]) ).

thf(f18049,plain,
    ( spl2_510
    | ~ spl2_389
    | ~ spl2_434 ),
    inference(avatar_split_clause,[],[f18039,f13815,f13029,f17801]) ).

thf(f18052,plain,
    ( ( $true != $true )
    | ~ spl2_260
    | ~ spl2_264
    | ~ spl2_434 ),
    inference(constrained_superposition,[],[f18044,f8100]) ).

thf(f18065,plain,
    ( $false
    | ~ spl2_260
    | ~ spl2_264
    | ~ spl2_434 ),
    inference(trivial_inequality_removal,[],[f18052]) ).

thf(f18066,plain,
    ( ~ spl2_260
    | ~ spl2_264
    | ~ spl2_434 ),
    inference(avatar_contradiction_clause,[],[f18065]) ).

thf(f18082,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_265
    | ~ spl2_510 ),
    inference(constrained_superposition,[],[f17802,f8104]) ).

thf(f18096,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_265
    | ~ spl2_510 ),
    inference(trivial_inequality_removal,[],[f18082]) ).

thf(f18099,plain,
    ( $false
    | ~ spl2_265
    | ~ spl2_278
    | ~ spl2_510 ),
    inference(forward_subsumption_resolution,[],[f18096,f8233]) ).

thf(f18100,plain,
    ( ~ spl2_265
    | ~ spl2_278
    | ~ spl2_510 ),
    inference(avatar_contradiction_clause,[],[f18099]) ).

thf(f18127,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_261
    | ~ spl2_301 ),
    inference(constrained_superposition,[],[f8842,f8090]) ).

thf(f18141,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_301 ),
    inference(trivial_inequality_removal,[],[f18127]) ).

thf(f18144,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_349 ),
    inference(avatar_component_clause,[],[f10983]) ).

thf(f18145,plain,
    ( spl2_276
    | ~ spl2_349
    | ~ spl2_261
    | ~ spl2_301 ),
    inference(avatar_split_clause,[],[f18141,f8841,f8089,f10983,f8216]) ).

thf(f18151,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_347 ),
    inference(avatar_component_clause,[],[f10956]) ).

thf(f18157,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_317
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f10210,f18151]) ).

thf(f18158,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_95
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f1494,f18151]) ).

thf(f18159,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_124
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f2992,f18151]) ).

thf(f18185,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_124
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f18159]) ).

thf(f18186,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_317
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f18157]) ).

thf(f18187,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_95
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f18158]) ).

thf(f18213,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | spl2_247
    | ~ spl2_317
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f18186,f8208]) ).

thf(f18214,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_95
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f18187,f8168]) ).

thf(f18223,definition,
    ( spl2_520
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_520])],[avatar_definition]) ).

thf(f18224,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_520 ),
    inference(avatar_component_clause,[],[f18223]) ).

thf(f18235,plain,
    ( ~ spl2_111
    | ~ spl2_95
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f18214,f10956,f2504,f1493,f2474]) ).

thf(f18253,plain,
    ( ~ spl2_115
    | ~ spl2_321
    | ~ spl2_124
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f18185,f10956,f2991,f10276,f2504]) ).

thf(f18254,plain,
    ( ~ spl2_115
    | spl2_247
    | ~ spl2_317
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f18213,f10956,f10209,f7984,f2504]) ).

thf(f18256,plain,
    ( ~ spl2_115
    | ~ spl2_111
    | ~ spl2_95
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f18187,f10956,f1493,f2474,f2504]) ).

thf(f18258,definition,
    ( spl2_522
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_522])],[avatar_definition]) ).

thf(f18259,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_522 ),
    inference(avatar_component_clause,[],[f18258]) ).

thf(f18306,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_314
    | ~ spl2_412 ),
    inference(constrained_superposition,[],[f13231,f10198]) ).

thf(f18315,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_314
    | ~ spl2_412 ),
    inference(trivial_inequality_removal,[],[f18306]) ).

thf(f18323,plain,
    ( $false
    | ~ spl2_278
    | ~ spl2_314
    | ~ spl2_412 ),
    inference(forward_subsumption_resolution,[],[f18315,f8233]) ).

thf(f18324,plain,
    ( ~ spl2_278
    | ~ spl2_314
    | ~ spl2_412 ),
    inference(avatar_contradiction_clause,[],[f18323]) ).

thf(f18414,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_393
    | ~ spl2_401 ),
    inference(constrained_superposition,[],[f13092,f13048]) ).

thf(f18431,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_393
    | ~ spl2_401 ),
    inference(duplicate_literal_removal,[],[f18414]) ).

thf(f18432,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_393
    | ~ spl2_401 ),
    inference(trivial_inequality_removal,[],[f18431]) ).

thf(f18441,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_4
    | ~ spl2_393
    | ~ spl2_401 ),
    inference(forward_subsumption_resolution,[],[f18432,f99]) ).

thf(f18443,plain,
    ( ( $true != $true )
    | ~ spl2_4
    | ~ spl2_393
    | ~ spl2_401 ),
    inference(constrained_superposition,[],[f18441,f13048]) ).

thf(f18451,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_393
    | ~ spl2_401 ),
    inference(trivial_inequality_removal,[],[f18443]) ).

thf(f18452,plain,
    ( ~ spl2_4
    | ~ spl2_393
    | ~ spl2_401 ),
    inference(avatar_contradiction_clause,[],[f18451]) ).

thf(f18453,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_400
    | ~ spl2_455 ),
    inference(constrained_superposition,[],[f14746,f13089]) ).

thf(f18489,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_400
    | ~ spl2_455 ),
    inference(trivial_inequality_removal,[],[f18453]) ).

thf(f18514,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_278
    | ~ spl2_485 ),
    inference(constrained_superposition,[],[f16175,f8233]) ).

thf(f18519,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_106
    | ~ spl2_485 ),
    inference(constrained_superposition,[],[f16175,f2449]) ).

thf(f18520,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_485 ),
    inference(constrained_superposition,[],[f16175,f171]) ).

thf(f18535,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_106
    | ~ spl2_485 ),
    inference(duplicate_literal_removal,[],[f18519]) ).

thf(f18536,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_106
    | ~ spl2_485 ),
    inference(trivial_inequality_removal,[],[f18535]) ).

thf(f18537,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_485 ),
    inference(duplicate_literal_removal,[],[f18520]) ).

thf(f18538,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_485 ),
    inference(trivial_inequality_removal,[],[f18537]) ).

thf(f18539,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_278
    | ~ spl2_485 ),
    inference(trivial_inequality_removal,[],[f18514]) ).

thf(f18541,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
    | ~ spl2_26
    | ~ spl2_106
    | ~ spl2_485 ),
    inference(forward_subsumption_resolution,[],[f18536,f245]) ).

thf(f18542,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_26
    | ~ spl2_485 ),
    inference(forward_subsumption_resolution,[],[f18538,f245]) ).

thf(f18543,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_4
    | ~ spl2_278
    | ~ spl2_485 ),
    inference(forward_subsumption_resolution,[],[f18539,f99]) ).

thf(f18544,plain,
    ( spl2_152
    | ~ spl2_26
    | ~ spl2_106
    | ~ spl2_485 ),
    inference(avatar_split_clause,[],[f18541,f16174,f2448,f244,f3973]) ).

thf(f18545,plain,
    ( spl2_152
    | spl2_288
    | ~ spl2_26
    | ~ spl2_485 ),
    inference(avatar_split_clause,[],[f18542,f16174,f244,f8337,f3973]) ).

thf(f18546,plain,
    ( spl2_104
    | ~ spl2_4
    | ~ spl2_278
    | ~ spl2_485 ),
    inference(avatar_split_clause,[],[f18543,f16174,f8232,f98,f2266]) ).

thf(f18566,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_247
    | ~ spl2_469 ),
    inference(constrained_superposition,[],[f15570,f7985]) ).

thf(f18574,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_247
    | ~ spl2_469 ),
    inference(trivial_inequality_removal,[],[f18566]) ).

thf(f18657,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_346 ),
    inference(constrained_superposition,[],[f10954,f81]) ).

thf(f18661,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_346 ),
    inference(trivial_inequality_removal,[],[f18657]) ).

thf(f18669,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_273
    | ~ spl2_346 ),
    inference(forward_subsumption_resolution,[],[f18661,f17852]) ).

thf(f18670,plain,
    ( ~ spl2_63
    | spl2_273
    | ~ spl2_346 ),
    inference(avatar_split_clause,[],[f18669,f10953,f8175,f981]) ).

thf(f18673,definition,
    ( spl2_524
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_524])],[avatar_definition]) ).

thf(f18674,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_524 ),
    inference(avatar_component_clause,[],[f18673]) ).

thf(f18677,definition,
    ( spl2_525
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_525])],[avatar_definition]) ).

thf(f18678,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) )
    | ~ spl2_525 ),
    inference(avatar_component_clause,[],[f18677]) ).

thf(f18680,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_317 ),
    inference(constrained_superposition,[],[f10210,f1059]) ).

thf(f18695,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f31,f1059]) ).

thf(f18713,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f18695]) ).

thf(f18722,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_317 ),
    inference(trivial_inequality_removal,[],[f18680]) ).

thf(f18731,plain,
    ( spl2_524
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f18713,f1058,f18673]) ).

thf(f18741,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_39
    | ~ spl2_76
    | ~ spl2_317 ),
    inference(forward_subsumption_resolution,[],[f18722,f1472]) ).

thf(f18755,plain,
    ( $false
    | ~ spl2_24
    | spl2_39
    | ~ spl2_76
    | ~ spl2_317 ),
    inference(forward_subsumption_resolution,[],[f18741,f230]) ).

thf(f18756,plain,
    ( ~ spl2_24
    | spl2_39
    | ~ spl2_76
    | ~ spl2_317 ),
    inference(avatar_contradiction_clause,[],[f18755]) ).

thf(f18770,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_76 ),
    inference(constrained_superposition,[],[f1631,f27]) ).

thf(f18771,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_76 ),
    inference(trivial_inequality_removal,[],[f18770]) ).

thf(f18773,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_74
    | spl2_76 ),
    inference(forward_subsumption_resolution,[],[f18771,f7923]) ).

thf(f18775,plain,
    ( spl2_96
    | spl2_74
    | spl2_76 ),
    inference(avatar_split_clause,[],[f18773,f1058,f1048,f1519]) ).

thf(f18781,plain,
    ( spl2_295
    | spl2_384 ),
    inference(avatar_split_clause,[],[f12945,f12921,f8434]) ).

thf(f18785,plain,
    ( ~ spl2_19
    | ~ spl2_247
    | ~ spl2_469 ),
    inference(avatar_split_clause,[],[f18574,f15569,f7984,f200]) ).

thf(f18804,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f9420,f201]) ).

thf(f18807,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f18804]) ).

thf(f18810,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(forward_subsumption_resolution,[],[f18807,f99]) ).

thf(f18833,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_76
    | ~ spl2_92 ),
    inference(constrained_superposition,[],[f1429,f1059]) ).

thf(f18834,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_24
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f363,f1059]) ).

thf(f18847,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f18834]) ).

thf(f18859,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_76
    | ~ spl2_92 ),
    inference(trivial_inequality_removal,[],[f18833]) ).

thf(f18884,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_86
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f1360,f10984]) ).

thf(f18892,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_86
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f18884]) ).

thf(f18895,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_86
    | ~ spl2_268
    | ~ spl2_349 ),
    inference(forward_subsumption_resolution,[],[f18892,f11147]) ).

thf(f18896,plain,
    ( spl2_352
    | ~ spl2_86
    | ~ spl2_268
    | ~ spl2_349 ),
    inference(avatar_split_clause,[],[f18895,f10983,f8156,f1275,f11016]) ).

thf(f18900,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303
    | ~ spl2_402 ),
    inference(constrained_superposition,[],[f18810,f13096]) ).

thf(f18901,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_107
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f18810,f2452]) ).

thf(f18902,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f18810,f2556]) ).

thf(f18911,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_303 ),
    inference(duplicate_literal_removal,[],[f18902]) ).

thf(f18912,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f18911]) ).

thf(f18913,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303
    | ~ spl2_402 ),
    inference(trivial_inequality_removal,[],[f18900]) ).

thf(f18914,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_107
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f18901]) ).

thf(f18919,plain,
    ( spl2_412
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303
    | ~ spl2_402 ),
    inference(avatar_split_clause,[],[f18913,f13095,f9419,f200,f98,f13230]) ).

thf(f18920,plain,
    ( spl2_276
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_107
    | ~ spl2_303 ),
    inference(avatar_split_clause,[],[f18914,f9419,f2451,f200,f98,f8216]) ).

thf(f18921,plain,
    ( ( $true != $true )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f18912,f99]) ).

thf(f18930,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f18921]) ).

thf(f18931,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_303 ),
    inference(avatar_contradiction_clause,[],[f18930]) ).

thf(f18936,definition,
    ( spl2_531
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_531])],[avatar_definition]) ).

thf(f18937,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_531 ),
    inference(avatar_component_clause,[],[f18936]) ).

thf(f18940,plain,
    ( spl2_64
    | ~ spl2_82
    | spl2_65 ),
    inference(avatar_split_clause,[],[f1613,f987,f1224,f984]) ).

thf(f18943,definition,
    ( spl2_532
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_532])],[avatar_definition]) ).

thf(f18944,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_532 ),
    inference(avatar_component_clause,[],[f18943]) ).

thf(f18952,definition,
    ( spl2_534
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_534])],[avatar_definition]) ).

thf(f18953,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_534 ),
    inference(avatar_component_clause,[],[f18952]) ).

thf(f18962,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_72
    | ~ spl2_76
    | ~ spl2_92 ),
    inference(forward_subsumption_resolution,[],[f18859,f7885]) ).

thf(f18965,definition,
    ( spl2_536
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_536])],[avatar_definition]) ).

thf(f18966,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_536 ),
    inference(avatar_component_clause,[],[f18965]) ).

thf(f18975,plain,
    ( spl2_78
    | ~ spl2_58
    | spl2_72
    | ~ spl2_76
    | ~ spl2_92 ),
    inference(avatar_split_clause,[],[f18962,f1428,f1058,f1042,f964,f1067]) ).

thf(f18993,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ sK1 ) )
    | spl2_68
    | ~ spl2_84 ),
    inference(constrained_superposition,[],[f1190,f1263]) ).

thf(f18999,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( sK1
      = ( sK0 @ sK1 ) )
    | spl2_68
    | ~ spl2_84 ),
    inference(trivial_inequality_removal,[],[f18993]) ).

thf(f19023,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_289
    | ~ spl2_455 ),
    inference(constrained_superposition,[],[f14746,f8342]) ).

thf(f19058,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_289
    | ~ spl2_455 ),
    inference(trivial_inequality_removal,[],[f19023]) ).

thf(f19076,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f2682,f171]) ).

thf(f19086,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f19076]) ).

thf(f19112,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f9420,f8424]) ).

thf(f19118,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_286
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f19112]) ).

thf(f19142,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_185
    | ~ spl2_392 ),
    inference(constrained_superposition,[],[f4826,f13043]) ).

thf(f19156,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_185
    | ~ spl2_392 ),
    inference(trivial_inequality_removal,[],[f19142]) ).

thf(f19164,plain,
    ( ~ spl2_395
    | ~ spl2_185
    | ~ spl2_392 ),
    inference(avatar_split_clause,[],[f19156,f13042,f4825,f13054]) ).

thf(f19305,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_474 ),
    inference(constrained_superposition,[],[f15711,f170]) ).

thf(f19312,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_474 ),
    inference(trivial_inequality_removal,[],[f19305]) ).

thf(f19320,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_105
    | ~ spl2_392 ),
    inference(constrained_superposition,[],[f2306,f13043]) ).

thf(f19321,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_105
    | ~ spl2_254 ),
    inference(constrained_superposition,[],[f2306,f8026]) ).

thf(f19328,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_105
    | ~ spl2_254 ),
    inference(trivial_inequality_removal,[],[f19321]) ).

thf(f19331,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_105
    | ~ spl2_392 ),
    inference(trivial_inequality_removal,[],[f19320]) ).

thf(f19337,plain,
    ( spl2_478
    | ~ spl2_105
    | ~ spl2_392 ),
    inference(avatar_split_clause,[],[f19331,f13042,f2305,f15773]) ).

thf(f19339,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_105
    | ~ spl2_254
    | ~ spl2_265 ),
    inference(constrained_superposition,[],[f19328,f8104]) ).

thf(f19343,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_105
    | ~ spl2_254
    | ~ spl2_255 ),
    inference(constrained_superposition,[],[f19328,f8029]) ).

thf(f19352,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_105
    | ~ spl2_254
    | ~ spl2_265 ),
    inference(trivial_inequality_removal,[],[f19339]) ).

thf(f19354,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_105
    | ~ spl2_254
    | ~ spl2_255 ),
    inference(trivial_inequality_removal,[],[f19343]) ).

thf(f19355,plain,
    ( $false
    | ~ spl2_105
    | ~ spl2_107
    | ~ spl2_254
    | ~ spl2_265 ),
    inference(forward_subsumption_resolution,[],[f19352,f2452]) ).

thf(f19356,plain,
    ( ~ spl2_105
    | ~ spl2_107
    | ~ spl2_254
    | ~ spl2_265 ),
    inference(avatar_contradiction_clause,[],[f19355]) ).

thf(f19357,plain,
    ( $false
    | ~ spl2_105
    | ~ spl2_116
    | ~ spl2_254
    | ~ spl2_255 ),
    inference(forward_subsumption_resolution,[],[f19354,f2556]) ).

thf(f19358,plain,
    ( ~ spl2_105
    | ~ spl2_116
    | ~ spl2_254
    | ~ spl2_255 ),
    inference(avatar_contradiction_clause,[],[f19357]) ).

thf(f19359,plain,
    ( spl2_392
    | ~ spl2_400
    | ~ spl2_455 ),
    inference(avatar_split_clause,[],[f18489,f14745,f13088,f13042]) ).

thf(f19360,plain,
    ( spl2_254
    | ~ spl2_289
    | ~ spl2_455 ),
    inference(avatar_split_clause,[],[f19058,f14745,f8341,f8025]) ).

thf(f19453,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_259
    | ~ spl2_474 ),
    inference(constrained_superposition,[],[f15711,f8083]) ).

thf(f19474,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_259
    | ~ spl2_474 ),
    inference(trivial_inequality_removal,[],[f19453]) ).

thf(f19491,plain,
    ( $false
    | ~ spl2_259
    | ~ spl2_289
    | ~ spl2_474 ),
    inference(forward_subsumption_resolution,[],[f19474,f8342]) ).

thf(f19492,plain,
    ( ~ spl2_259
    | ~ spl2_289
    | ~ spl2_474 ),
    inference(avatar_contradiction_clause,[],[f19491]) ).

thf(f19508,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_263
    | ~ spl2_428 ),
    inference(constrained_superposition,[],[f13705,f8097]) ).

thf(f19533,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_263
    | ~ spl2_428 ),
    inference(trivial_inequality_removal,[],[f19508]) ).

thf(f19547,plain,
    ( $false
    | ~ spl2_263
    | ~ spl2_400
    | ~ spl2_428 ),
    inference(forward_subsumption_resolution,[],[f19533,f13089]) ).

thf(f19548,plain,
    ( ~ spl2_263
    | ~ spl2_400
    | ~ spl2_428 ),
    inference(avatar_contradiction_clause,[],[f19547]) ).

thf(f19559,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_496 ),
    inference(constrained_superposition,[],[f16669,f721]) ).

thf(f19569,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_496 ),
    inference(trivial_inequality_removal,[],[f19559]) ).

thf(f19576,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_107
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f19086,f2452]) ).

thf(f19585,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_107
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f19576]) ).

thf(f19592,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f18847,f51]) ).

thf(f19594,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f19592]) ).

thf(f19600,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_268
    | ~ spl2_352 ),
    inference(constrained_superposition,[],[f11017,f11147]) ).

thf(f19603,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(constrained_superposition,[],[f11017,f10984]) ).

thf(f19606,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_352 ),
    inference(constrained_superposition,[],[f11017,f7985]) ).

thf(f19612,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(trivial_inequality_removal,[],[f19603]) ).

thf(f19616,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_247
    | ~ spl2_352 ),
    inference(trivial_inequality_removal,[],[f19606]) ).

thf(f19618,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_352 ),
    inference(trivial_inequality_removal,[],[f19600]) ).

thf(f19621,definition,
    ( spl2_540
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_540])],[avatar_definition]) ).

thf(f19622,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_540 ),
    inference(avatar_component_clause,[],[f19621]) ).

thf(f19624,plain,
    ( spl2_540
    | ~ spl2_247
    | ~ spl2_352 ),
    inference(avatar_split_clause,[],[f19616,f11016,f7984,f19621]) ).

thf(f19626,plain,
    ( spl2_179
    | ~ spl2_268
    | ~ spl2_352 ),
    inference(avatar_split_clause,[],[f19618,f11016,f8156,f4675]) ).

thf(f19629,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_26
    | ~ spl2_540 ),
    inference(constrained_superposition,[],[f19622,f245]) ).

thf(f19638,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_26
    | ~ spl2_540 ),
    inference(trivial_inequality_removal,[],[f19629]) ).

thf(f19641,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_116
    | ~ spl2_540 ),
    inference(forward_subsumption_resolution,[],[f19638,f2556]) ).

thf(f19642,plain,
    ( ~ spl2_26
    | ~ spl2_116
    | ~ spl2_540 ),
    inference(avatar_contradiction_clause,[],[f19641]) ).

thf(f19647,plain,
    ( spl2_288
    | ~ spl2_107
    | ~ spl2_121 ),
    inference(avatar_split_clause,[],[f19585,f2681,f2451,f8337]) ).

thf(f19706,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_261
    | ~ spl2_468 ),
    inference(constrained_superposition,[],[f15536,f8090]) ).

thf(f19718,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_261
    | ~ spl2_468 ),
    inference(trivial_inequality_removal,[],[f19706]) ).

thf(f19721,plain,
    ( $false
    | ~ spl2_255
    | ~ spl2_261
    | ~ spl2_468 ),
    inference(forward_subsumption_resolution,[],[f19718,f8029]) ).

thf(f19722,plain,
    ( ~ spl2_255
    | ~ spl2_261
    | ~ spl2_468 ),
    inference(avatar_contradiction_clause,[],[f19721]) ).

thf(f19725,definition,
    ( spl2_541
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_541])],[avatar_definition]) ).

thf(f19726,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_541 ),
    inference(avatar_component_clause,[],[f19725]) ).

thf(f19729,definition,
    ( spl2_542
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_542])],[avatar_definition]) ).

thf(f19730,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_542 ),
    inference(avatar_component_clause,[],[f19729]) ).

thf(f19735,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_24
    | ~ spl2_474 ),
    inference(forward_subsumption_resolution,[],[f19312,f230]) ).

thf(f19738,plain,
    ( spl2_396
    | ~ spl2_24
    | ~ spl2_474 ),
    inference(avatar_split_clause,[],[f19735,f15710,f229,f13058]) ).

thf(f19811,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(constrained_superposition,[],[f19612,f82]) ).

thf(f19823,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(trivial_inequality_removal,[],[f19811]) ).

thf(f19827,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_82
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(forward_subsumption_resolution,[],[f19823,f5494]) ).

thf(f19830,plain,
    ( $false
    | ~ spl2_26
    | spl2_82
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(forward_subsumption_resolution,[],[f19827,f245]) ).

thf(f19831,plain,
    ( ~ spl2_26
    | spl2_82
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(avatar_contradiction_clause,[],[f19830]) ).

thf(f19853,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_68
    | ~ spl2_84 ),
    inference(forward_subsumption_resolution,[],[f18999,f41]) ).

thf(f19856,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
        = $true )
      | ( ( b @ sK1 @ ( sK0 @ X1 ) )
        = $true )
      | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
        = $true )
      | ( sK1
        = ( sK0 @ sK1 ) )
      | ( ( sK0 @ X1 )
        = ( sK0 @ sK1 ) )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
        = $true ) ),
    inference(forward_subsumption_resolution,[],[f7027,f41]) ).

thf(f19866,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | spl2_68
    | ~ spl2_84 ),
    inference(forward_subsumption_resolution,[],[f19853,f41]) ).

thf(f19872,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
        = $true )
      | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
        = $true )
      | ( ( sK0 @ X1 )
        = ( sK0 @ sK1 ) )
      | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
        = $true )
      | ( ( b @ sK1 @ ( sK0 @ X1 ) )
        = $true ) ),
    inference(forward_subsumption_resolution,[],[f19856,f41]) ).

thf(f19882,plain,
    ( spl2_116
    | spl2_68
    | ~ spl2_84 ),
    inference(avatar_split_clause,[],[f19866,f1262,f998,f2543]) ).

thf(f19884,definition,
    ( spl2_547
  <=> ! [X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ X1 ) )
          = $true )
        | ( ( sK0 @ X1 )
          = ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_547])],[avatar_definition]) ).

thf(f19885,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) )
          = $true )
        | ( ( sK0 @ X1 )
          = ( sK0 @ sK1 ) )
        | ( ( b @ sK1 @ ( sK0 @ X1 ) )
          = $true ) )
    | ~ spl2_547 ),
    inference(avatar_component_clause,[],[f19884]) ).

thf(f19886,plain,
    ( spl2_116
    | spl2_547
    | spl2_7 ),
    inference(avatar_split_clause,[],[f19872,f108,f19884,f2543]) ).

thf(f19903,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_273
    | ~ spl2_352 ),
    inference(constrained_superposition,[],[f11017,f8176]) ).

thf(f19908,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_352 ),
    inference(trivial_inequality_removal,[],[f19903]) ).

thf(f19916,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_15
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f188,f1059]) ).

thf(f19926,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_15
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f19916]) ).

thf(f19928,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5105,f82]) ).

thf(f19936,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f19928]) ).

thf(f19949,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true )
        | ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( sK1 = X0 ) )
    | ~ spl2_118 ),
    inference(constrained_superposition,[],[f2554,f52]) ).

thf(f19952,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( sK1 = X0 )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) )
    | ~ spl2_118 ),
    inference(trivial_inequality_removal,[],[f19949]) ).

thf(f19956,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_120 ),
    inference(constrained_superposition,[],[f2569,f27]) ).

thf(f19960,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( sK1 = X0 )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_120 ),
    inference(trivial_inequality_removal,[],[f19956]) ).

thf(f20188,definition,
    ( spl2_548
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_548])],[avatar_definition]) ).

thf(f20189,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_548 ),
    inference(avatar_component_clause,[],[f20188]) ).

thf(f20190,plain,
    ( ~ spl2_284
    | spl2_548
    | ~ spl2_286
    | ~ spl2_303 ),
    inference(avatar_split_clause,[],[f19118,f9419,f8331,f20188,f8323]) ).

thf(f20192,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_4
    | spl2_82
    | ~ spl2_86 ),
    inference(forward_subsumption_resolution,[],[f5963,f5494]) ).

thf(f20196,plain,
    ( spl2_37
    | ~ spl2_4
    | spl2_82
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f20192,f1275,f1224,f98,f356]) ).

thf(f20330,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_315
    | ~ spl2_322 ),
    inference(constrained_superposition,[],[f10283,f10203]) ).

thf(f20356,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_315
    | ~ spl2_322 ),
    inference(trivial_inequality_removal,[],[f20330]) ).

thf(f20409,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_263 ),
    inference(constrained_superposition,[],[f95,f8097]) ).

thf(f20435,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_263 ),
    inference(trivial_inequality_removal,[],[f20409]) ).

thf(f20469,definition,
    ( spl2_550
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_550])],[avatar_definition]) ).

thf(f20470,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_550 ),
    inference(avatar_component_clause,[],[f20469]) ).

thf(f20473,plain,
    ( ~ spl2_422
    | ~ spl2_315
    | ~ spl2_322 ),
    inference(avatar_split_clause,[],[f20356,f10282,f10202,f13627]) ).

thf(f20479,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_263
    | spl2_284 ),
    inference(forward_subsumption_resolution,[],[f20435,f17803]) ).

thf(f20482,plain,
    ( ~ spl2_475
    | spl2_474
    | ~ spl2_263
    | spl2_284 ),
    inference(avatar_split_clause,[],[f20479,f8323,f8096,f15710,f15713]) ).

thf(f20530,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_121
    | ~ spl2_402 ),
    inference(constrained_superposition,[],[f19086,f13096]) ).

thf(f20535,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_121
    | ~ spl2_402 ),
    inference(trivial_inequality_removal,[],[f20530]) ).

thf(f20540,plain,
    ( spl2_433
    | ~ spl2_121
    | ~ spl2_402 ),
    inference(avatar_split_clause,[],[f20535,f13095,f2681,f13812]) ).

thf(f20553,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_112
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f2478,f10203]) ).

thf(f20568,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_112
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f20553]) ).

thf(f20570,plain,
    ( $false
    | ~ spl2_112
    | ~ spl2_315
    | ~ spl2_400 ),
    inference(forward_subsumption_resolution,[],[f20568,f13089]) ).

thf(f20571,plain,
    ( ~ spl2_112
    | ~ spl2_315
    | ~ spl2_400 ),
    inference(avatar_contradiction_clause,[],[f20570]) ).

thf(f20599,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_74
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f1059,f1049]) ).

thf(f20600,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_74
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f1068,f1049]) ).

thf(f20606,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_74
    | ~ spl2_105 ),
    inference(constrained_superposition,[],[f2306,f1049]) ).

thf(f20607,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_73
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f3001,f1049]) ).

thf(f20611,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_74
    | spl2_82 ),
    inference(constrained_superposition,[],[f5494,f1049]) ).

thf(f20618,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_74
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f8168,f1049]) ).

thf(f20619,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_74
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f8176,f1049]) ).

thf(f20646,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_74
    | spl2_349 ),
    inference(constrained_superposition,[],[f18144,f1049]) ).

thf(f20647,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_74
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f18151,f1049]) ).

thf(f20654,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f171,f1049]) ).

thf(f20656,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_18
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f198,f1049]) ).

thf(f20735,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_18
    | ~ spl2_74 ),
    inference(duplicate_literal_removal,[],[f20656]) ).

thf(f20742,plain,
    ( $false
    | ~ spl2_74
    | ~ spl2_86
    | spl2_349 ),
    inference(forward_subsumption_resolution,[],[f20646,f1276]) ).

thf(f20743,plain,
    ( ~ spl2_74
    | ~ spl2_86
    | spl2_349 ),
    inference(avatar_contradiction_clause,[],[f20742]) ).

thf(f20746,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_46 ),
    inference(avatar_component_clause,[],[f504]) ).

thf(f20747,plain,
    ( spl2_46
    | spl2_30
    | ~ spl2_33
    | ~ spl2_18
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f20735,f1048,f197,f317,f290,f504]) ).

thf(f20748,plain,
    ( $false
    | spl2_73
    | ~ spl2_74
    | ~ spl2_273 ),
    inference(forward_subsumption_resolution,[],[f20619,f3001]) ).

thf(f20749,plain,
    ( spl2_73
    | ~ spl2_74
    | ~ spl2_273 ),
    inference(avatar_contradiction_clause,[],[f20748]) ).

thf(f20750,plain,
    ( $false
    | spl2_60
    | ~ spl2_74
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f20647,f972]) ).

thf(f20751,plain,
    ( spl2_60
    | ~ spl2_74
    | ~ spl2_347 ),
    inference(avatar_contradiction_clause,[],[f20750]) ).

thf(f20753,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_29
    | ~ spl2_74 ),
    inference(forward_subsumption_resolution,[],[f20654,f288]) ).

thf(f20755,definition,
    ( spl2_551
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_551])],[avatar_definition]) ).

thf(f20756,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( r @ X1 @ X0 )
         != $true ) )
    | ~ spl2_551 ),
    inference(avatar_component_clause,[],[f20755]) ).

thf(f20758,plain,
    ( $false
    | spl2_49
    | ~ spl2_74
    | ~ spl2_78 ),
    inference(forward_subsumption_resolution,[],[f20600,f517]) ).

thf(f20759,plain,
    ( spl2_49
    | ~ spl2_74
    | ~ spl2_78 ),
    inference(avatar_contradiction_clause,[],[f20758]) ).

thf(f20761,plain,
    ( $false
    | ~ spl2_26
    | spl2_73
    | ~ spl2_74 ),
    inference(forward_subsumption_resolution,[],[f20607,f245]) ).

thf(f20762,plain,
    ( ~ spl2_26
    | spl2_73
    | ~ spl2_74 ),
    inference(avatar_contradiction_clause,[],[f20761]) ).

thf(f20776,plain,
    ( $false
    | spl2_29
    | ~ spl2_74
    | ~ spl2_76 ),
    inference(forward_subsumption_resolution,[],[f20599,f288]) ).

thf(f20777,plain,
    ( spl2_29
    | ~ spl2_74
    | ~ spl2_76 ),
    inference(avatar_contradiction_clause,[],[f20776]) ).

thf(f20782,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_74
    | spl2_82 ),
    inference(forward_subsumption_resolution,[],[f20611,f230]) ).

thf(f20783,plain,
    ( ~ spl2_24
    | ~ spl2_74
    | spl2_82 ),
    inference(avatar_contradiction_clause,[],[f20782]) ).

thf(f20786,plain,
    ( $false
    | ~ spl2_74
    | spl2_82
    | ~ spl2_115 ),
    inference(forward_subsumption_resolution,[],[f20618,f5494]) ).

thf(f20787,plain,
    ( ~ spl2_74
    | spl2_82
    | ~ spl2_115 ),
    inference(avatar_contradiction_clause,[],[f20786]) ).

thf(f20792,plain,
    ( spl2_48
    | ~ spl2_74
    | ~ spl2_105 ),
    inference(avatar_split_clause,[],[f20606,f2305,f1048,f513]) ).

thf(f20794,plain,
    ( spl2_46
    | spl2_29
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f20753,f1048,f287,f504]) ).

thf(f20802,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | spl2_74 ),
    inference(extensionality_resolution,[],[f562,f7923]) ).

thf(f20816,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_46
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f9420,f20746]) ).

thf(f20818,plain,
    ( ( $true != $true )
    | ( $true != $true )
    | ~ spl2_46
    | ~ spl2_179 ),
    inference(constrained_superposition,[],[f4676,f20746]) ).

thf(f20822,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_46 ),
    inference(constrained_superposition,[],[f30,f20746]) ).

thf(f20824,plain,
    ( ( $true != $true )
    | ~ spl2_46
    | ~ spl2_179 ),
    inference(duplicate_literal_removal,[],[f20818]) ).

thf(f20825,plain,
    ( $false
    | ~ spl2_46
    | ~ spl2_179 ),
    inference(trivial_inequality_removal,[],[f20824]) ).

thf(f20826,plain,
    ( ~ spl2_46
    | ~ spl2_179 ),
    inference(avatar_contradiction_clause,[],[f20825]) ).

thf(f20827,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_46 ),
    inference(duplicate_literal_removal,[],[f20822]) ).

thf(f20828,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_46 ),
    inference(trivial_inequality_removal,[],[f20827]) ).

thf(f20832,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_46
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f20816]) ).

thf(f20834,plain,
    ( spl2_79
    | ~ spl2_46 ),
    inference(avatar_split_clause,[],[f20828,f504,f1157]) ).

thf(f20835,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_26
    | ~ spl2_46
    | ~ spl2_303 ),
    inference(forward_subsumption_resolution,[],[f20832,f245]) ).

thf(f20838,plain,
    ( spl2_216
    | ~ spl2_26
    | ~ spl2_46
    | ~ spl2_303 ),
    inference(avatar_split_clause,[],[f20835,f9419,f504,f244,f5331]) ).

thf(f20845,definition,
    ( spl2_553
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_553])],[avatar_definition]) ).

thf(f20846,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_553 ),
    inference(avatar_component_clause,[],[f20845]) ).

thf(f20852,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_15
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f188,f8338]) ).

thf(f20853,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_92
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f1429,f8338]) ).

thf(f20875,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_92
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f20853]) ).

thf(f20877,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_15
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f20852]) ).

thf(f20890,plain,
    ( ~ spl2_362
    | ~ spl2_15
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f20877,f8337,f187,f11611]) ).

thf(f20901,plain,
    ( spl2_107
    | spl2_245
    | ~ spl2_321
    | ~ spl2_92
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f20875,f8337,f1428,f10276,f7978,f2451]) ).

thf(f20940,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_39
    | ~ spl2_273
    | ~ spl2_352 ),
    inference(constrained_superposition,[],[f19908,f386]) ).

thf(f20948,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_39
    | ~ spl2_273
    | ~ spl2_352 ),
    inference(trivial_inequality_removal,[],[f20940]) ).

thf(f20953,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_39
    | ~ spl2_273
    | ~ spl2_352 ),
    inference(forward_subsumption_resolution,[],[f20948,f99]) ).

thf(f20954,plain,
    ( ~ spl2_4
    | ~ spl2_39
    | ~ spl2_273
    | ~ spl2_352 ),
    inference(avatar_contradiction_clause,[],[f20953]) ).

thf(f20996,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_26
    | ~ spl2_75 ),
    inference(constrained_superposition,[],[f1053,f245]) ).

thf(f20997,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_75 ),
    inference(constrained_superposition,[],[f1053,f386]) ).

thf(f21004,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_26
    | ~ spl2_75 ),
    inference(trivial_inequality_removal,[],[f20996]) ).

thf(f21006,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_39
    | ~ spl2_75 ),
    inference(duplicate_literal_removal,[],[f20997]) ).

thf(f21007,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_39
    | ~ spl2_75 ),
    inference(trivial_inequality_removal,[],[f21006]) ).

thf(f21012,plain,
    ( spl2_456
    | ~ spl2_26
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f21004,f1052,f244,f14791]) ).

thf(f21015,definition,
    ( spl2_555
  <=> ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_555])],[avatar_definition]) ).

thf(f21016,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_555 ),
    inference(avatar_component_clause,[],[f21015]) ).

thf(f21019,plain,
    ( spl2_555
    | ~ spl2_39
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f21007,f1052,f385,f21015]) ).

thf(f21020,plain,
    ( ( $true != $true )
    | ~ spl2_4
    | ~ spl2_555 ),
    inference(constrained_superposition,[],[f21016,f99]) ).

thf(f21023,plain,
    ( ( $true != $true )
    | ~ spl2_278
    | ~ spl2_555 ),
    inference(constrained_superposition,[],[f21016,f8233]) ).

thf(f21024,plain,
    ( ( $true != $true )
    | ~ spl2_67
    | ~ spl2_555 ),
    inference(constrained_superposition,[],[f21016,f995]) ).

thf(f21028,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_555 ),
    inference(trivial_inequality_removal,[],[f21020]) ).

thf(f21029,plain,
    ( ~ spl2_4
    | ~ spl2_555 ),
    inference(avatar_contradiction_clause,[],[f21028]) ).

thf(f21033,plain,
    ( $false
    | ~ spl2_278
    | ~ spl2_555 ),
    inference(trivial_inequality_removal,[],[f21023]) ).

thf(f21034,plain,
    ( ~ spl2_278
    | ~ spl2_555 ),
    inference(avatar_contradiction_clause,[],[f21033]) ).

thf(f21035,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_555 ),
    inference(trivial_inequality_removal,[],[f21024]) ).

thf(f21036,plain,
    ( ~ spl2_67
    | ~ spl2_555 ),
    inference(avatar_contradiction_clause,[],[f21035]) ).

thf(f21039,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_78
    | ~ spl2_456 ),
    inference(constrained_superposition,[],[f14792,f1068]) ).

thf(f21044,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_78
    | ~ spl2_456 ),
    inference(trivial_inequality_removal,[],[f21039]) ).

thf(f21049,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_78
    | ~ spl2_456 ),
    inference(forward_subsumption_resolution,[],[f21044,f995]) ).

thf(f21050,plain,
    ( ~ spl2_67
    | ~ spl2_78
    | ~ spl2_456 ),
    inference(avatar_contradiction_clause,[],[f21049]) ).

thf(f21084,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_44 ),
    inference(constrained_superposition,[],[f499,f386]) ).

thf(f21091,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_39
    | ~ spl2_44 ),
    inference(trivial_inequality_removal,[],[f21084]) ).

thf(f21097,plain,
    ( spl2_540
    | ~ spl2_39
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f21091,f498,f385,f19621]) ).

thf(f21108,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_511 ),
    inference(constrained_superposition,[],[f17851,f11147]) ).

thf(f21118,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_511 ),
    inference(trivial_inequality_removal,[],[f21108]) ).

thf(f21124,plain,
    ( spl2_196
    | ~ spl2_268
    | ~ spl2_511 ),
    inference(avatar_split_clause,[],[f21118,f17850,f8156,f5093]) ).

thf(f21146,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_68 ),
    inference(constrained_superposition,[],[f5897,f999]) ).

thf(f21149,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_68 ),
    inference(duplicate_literal_removal,[],[f21146]) ).

thf(f21150,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_68 ),
    inference(trivial_inequality_removal,[],[f21149]) ).

thf(f21153,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_68
    | spl2_82 ),
    inference(forward_subsumption_resolution,[],[f21150,f5494]) ).

thf(f21155,plain,
    ( spl2_23
    | ~ spl2_4
    | ~ spl2_68
    | spl2_82 ),
    inference(avatar_split_clause,[],[f21153,f1224,f998,f98,f226]) ).

thf(f21165,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_107
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5105,f2452]) ).

thf(f21171,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_107
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f21165]) ).

thf(f21173,plain,
    ( ~ spl2_273
    | ~ spl2_107
    | ~ spl2_198 ),
    inference(avatar_split_clause,[],[f21171,f5104,f2451,f8175]) ).

thf(f21228,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_120
    | spl2_273 ),
    inference(constrained_superposition,[],[f17852,f19960]) ).

thf(f21229,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true != $true )
    | spl2_73
    | ~ spl2_120 ),
    inference(constrained_superposition,[],[f3001,f19960]) ).

thf(f21230,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 ) )
    | ~ spl2_120
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f19936,f19960]) ).

thf(f21237,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | spl2_73
    | ~ spl2_120 ),
    inference(trivial_inequality_removal,[],[f21229]) ).

thf(f21239,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_120
    | spl2_273 ),
    inference(trivial_inequality_removal,[],[f21228]) ).

thf(f21246,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_120
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f21230]) ).

thf(f21250,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) ) )
    | ~ spl2_120
    | ~ spl2_198 ),
    inference(forward_subsumption_resolution,[],[f21246,f41]) ).

thf(f21252,plain,
    ( spl2_232
    | ~ spl2_120
    | ~ spl2_198 ),
    inference(avatar_split_clause,[],[f21250,f5104,f2568,f5969]) ).

thf(f21255,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_120
    | spl2_273 ),
    inference(forward_subsumption_resolution,[],[f21239,f41]) ).

thf(f21266,plain,
    ( spl2_245
    | spl2_247
    | ~ spl2_120
    | spl2_273 ),
    inference(avatar_split_clause,[],[f21255,f8175,f2568,f7984,f7978]) ).

thf(f21273,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f30,f7985]) ).

thf(f21274,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f21273]) ).

thf(f21281,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_423 ),
    inference(constrained_superposition,[],[f13631,f81]) ).

thf(f21288,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_423 ),
    inference(trivial_inequality_removal,[],[f21281]) ).

thf(f21292,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_399
    | ~ spl2_423 ),
    inference(forward_subsumption_resolution,[],[f21288,f14795]) ).

thf(f21293,plain,
    ( ~ spl2_111
    | spl2_399
    | ~ spl2_423 ),
    inference(avatar_split_clause,[],[f21292,f13630,f13084,f2474]) ).

thf(f21308,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_351 ),
    inference(constrained_superposition,[],[f11013,f11147]) ).

thf(f21318,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_351 ),
    inference(trivial_inequality_removal,[],[f21308]) ).

thf(f21326,plain,
    ( spl2_181
    | ~ spl2_268
    | ~ spl2_351 ),
    inference(avatar_split_clause,[],[f21318,f11012,f8156,f4808]) ).

thf(f21327,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_83 ),
    inference(constrained_superposition,[],[f1228,f995]) ).

thf(f21334,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_83 ),
    inference(duplicate_literal_removal,[],[f21327]) ).

thf(f21335,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_83 ),
    inference(trivial_inequality_removal,[],[f21334]) ).

thf(f21342,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_83 ),
    inference(forward_subsumption_resolution,[],[f21335,f99]) ).

thf(f21343,plain,
    ( spl2_555
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_83 ),
    inference(avatar_split_clause,[],[f21342,f1227,f994,f98,f21015]) ).

thf(f21345,plain,
    ( ~ spl2_89
    | ~ spl2_15
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f19926,f1058,f187,f1337]) ).

thf(f21347,plain,
    ( ~ spl2_8
    | ~ spl2_33
    | spl2_67
    | ~ spl2_24
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f19594,f1058,f229,f994,f317,f111]) ).

thf(f21368,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | spl2_72
    | spl2_73
    | ~ spl2_120 ),
    inference(forward_subsumption_resolution,[],[f21237,f7885]) ).

thf(f21381,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | spl2_72
    | spl2_73
    | ~ spl2_120 ),
    inference(forward_subsumption_resolution,[],[f21368,f41]) ).

thf(f21387,plain,
    ( spl2_68
    | spl2_72
    | spl2_73
    | ~ spl2_120 ),
    inference(avatar_split_clause,[],[f21381,f2568,f1045,f1042,f998]) ).

thf(f21427,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f31,f1225]) ).

thf(f21439,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f21427]) ).

thf(f21450,plain,
    ( spl2_531
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f21439,f1224,f18936]) ).

thf(f21640,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_396
    | ~ spl2_542 ),
    inference(constrained_superposition,[],[f19730,f13059]) ).

thf(f21643,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_542 ),
    inference(constrained_superposition,[],[f19730,f13030]) ).

thf(f21650,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_396
    | ~ spl2_542 ),
    inference(trivial_inequality_removal,[],[f21640]) ).

thf(f21652,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_389
    | ~ spl2_542 ),
    inference(trivial_inequality_removal,[],[f21643]) ).

thf(f21657,plain,
    ( spl2_179
    | ~ spl2_396
    | ~ spl2_542 ),
    inference(avatar_split_clause,[],[f21650,f19729,f13058,f4675]) ).

thf(f21658,plain,
    ( spl2_540
    | ~ spl2_389
    | ~ spl2_542 ),
    inference(avatar_split_clause,[],[f21652,f19729,f13029,f19621]) ).

thf(f21729,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_358 ),
    inference(constrained_superposition,[],[f11061,f171]) ).

thf(f21730,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_358 ),
    inference(constrained_superposition,[],[f11061,f8104]) ).

thf(f21734,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_358 ),
    inference(trivial_inequality_removal,[],[f21729]) ).

thf(f21735,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_358 ),
    inference(trivial_inequality_removal,[],[f21730]) ).

thf(f21750,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_395
    | ~ spl2_417 ),
    inference(constrained_superposition,[],[f13409,f13055]) ).

thf(f21753,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_417 ),
    inference(constrained_superposition,[],[f13409,f13030]) ).

thf(f21757,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_417 ),
    inference(trivial_inequality_removal,[],[f21753]) ).

thf(f21763,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_395
    | ~ spl2_417 ),
    inference(trivial_inequality_removal,[],[f21750]) ).

thf(f21766,plain,
    ( spl2_185
    | ~ spl2_395
    | ~ spl2_417 ),
    inference(avatar_split_clause,[],[f21763,f13408,f13054,f4825]) ).

thf(f21770,definition,
    ( spl2_559
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_559])],[avatar_definition]) ).

thf(f21771,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_559 ),
    inference(avatar_component_clause,[],[f21770]) ).

thf(f21785,plain,
    ( spl2_559
    | ~ spl2_389
    | ~ spl2_417 ),
    inference(avatar_split_clause,[],[f21757,f13408,f13029,f21770]) ).

thf(f21787,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_254
    | ~ spl2_559 ),
    inference(constrained_superposition,[],[f21771,f8026]) ).

thf(f21788,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_392
    | ~ spl2_559 ),
    inference(constrained_superposition,[],[f21771,f13043]) ).

thf(f21797,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_392
    | ~ spl2_559 ),
    inference(trivial_inequality_removal,[],[f21788]) ).

thf(f21798,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_254
    | ~ spl2_559 ),
    inference(trivial_inequality_removal,[],[f21787]) ).

thf(f21802,plain,
    ( $false
    | ~ spl2_389
    | ~ spl2_392
    | ~ spl2_559 ),
    inference(forward_subsumption_resolution,[],[f21797,f13030]) ).

thf(f21803,plain,
    ( ~ spl2_389
    | ~ spl2_392
    | ~ spl2_559 ),
    inference(avatar_contradiction_clause,[],[f21802]) ).

thf(f21804,plain,
    ( $false
    | ~ spl2_254
    | ~ spl2_255
    | ~ spl2_559 ),
    inference(forward_subsumption_resolution,[],[f21798,f8029]) ).

thf(f21805,plain,
    ( ~ spl2_254
    | ~ spl2_255
    | ~ spl2_559 ),
    inference(avatar_contradiction_clause,[],[f21804]) ).

thf(f21826,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_437
    | ~ spl2_525 ),
    inference(constrained_superposition,[],[f18678,f17686]) ).

thf(f21828,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_95
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f1494,f17686]) ).

thf(f21834,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_437
    | ~ spl2_496 ),
    inference(constrained_superposition,[],[f16669,f17686]) ).

thf(f21853,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_437
    | ~ spl2_525 ),
    inference(trivial_inequality_removal,[],[f21826]) ).

thf(f21855,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_95
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f21828]) ).

thf(f21862,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_437
    | ~ spl2_496 ),
    inference(trivial_inequality_removal,[],[f21834]) ).

thf(f21930,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true ) )
    | ~ spl2_531 ),
    inference(constrained_superposition,[],[f18937,f81]) ).

thf(f21934,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_531 ),
    inference(trivial_inequality_removal,[],[f21930]) ).

thf(f21976,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_107
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f21274,f2452]) ).

thf(f21977,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_191
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f21274,f4853]) ).

thf(f21978,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true ) )
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f21274,f82]) ).

thf(f21984,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_107
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f21976]) ).

thf(f21989,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true ) )
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f21978]) ).

thf(f21990,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ sK1 ) ) )
    | ~ spl2_191
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f21977]) ).

thf(f21992,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_107
    | ~ spl2_116
    | ~ spl2_247 ),
    inference(forward_subsumption_resolution,[],[f21984,f2556]) ).

thf(f21994,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true ) )
    | spl2_115
    | ~ spl2_247 ),
    inference(forward_subsumption_resolution,[],[f21989,f2505]) ).

thf(f21995,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_191
    | ~ spl2_247 ),
    inference(forward_subsumption_resolution,[],[f21990,f2556]) ).

thf(f21997,plain,
    ( spl2_117
    | ~ spl2_107
    | ~ spl2_116
    | ~ spl2_247 ),
    inference(avatar_split_clause,[],[f21992,f7984,f2543,f2451,f2548]) ).

thf(f21999,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | spl2_115
    | ~ spl2_116
    | ~ spl2_247 ),
    inference(forward_subsumption_resolution,[],[f21994,f2556]) ).

thf(f22000,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = ( sK0 @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_191
    | ~ spl2_247
    | spl2_273 ),
    inference(forward_subsumption_resolution,[],[f21995,f17852]) ).

thf(f22002,plain,
    ( spl2_117
    | spl2_115
    | ~ spl2_116
    | ~ spl2_247 ),
    inference(avatar_split_clause,[],[f21999,f7984,f2543,f2504,f2548]) ).

thf(f22003,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | spl2_72
    | ~ spl2_116
    | ~ spl2_191
    | ~ spl2_247
    | spl2_273 ),
    inference(forward_subsumption_resolution,[],[f22000,f7885]) ).

thf(f22004,plain,
    ( spl2_117
    | spl2_72
    | ~ spl2_116
    | ~ spl2_191
    | ~ spl2_247
    | spl2_273 ),
    inference(avatar_split_clause,[],[f22003,f8175,f7984,f4852,f2543,f1042,f2548]) ).

thf(f22006,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_26
    | ~ spl2_358 ),
    inference(forward_subsumption_resolution,[],[f21734,f245]) ).

thf(f22016,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_395
    | ~ spl2_496 ),
    inference(forward_subsumption_resolution,[],[f19569,f17671]) ).

thf(f22020,plain,
    ( spl2_120
    | spl2_19
    | spl2_116
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f2561,f229,f2543,f200,f2568]) ).

thf(f22022,plain,
    ( ~ spl2_284
    | spl2_510
    | ~ spl2_265
    | ~ spl2_358 ),
    inference(avatar_split_clause,[],[f21735,f11060,f8103,f17801,f8323]) ).

thf(f22026,plain,
    ( ~ spl2_76
    | ~ spl2_437
    | ~ spl2_496 ),
    inference(avatar_split_clause,[],[f21862,f16668,f13998,f1058]) ).

thf(f22037,plain,
    ( ~ spl2_475
    | ~ spl2_400
    | ~ spl2_95
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f21855,f13998,f1493,f13088,f15713]) ).

thf(f22038,plain,
    ( ~ spl2_8
    | spl2_19
    | spl2_120
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f590,f229,f2568,f200,f111]) ).

thf(f22039,plain,
    ( spl2_104
    | spl2_288
    | ~ spl2_26
    | ~ spl2_358 ),
    inference(avatar_split_clause,[],[f22006,f11060,f244,f8337,f2266]) ).

thf(f22041,plain,
    ( ~ spl2_76
    | spl2_395
    | ~ spl2_496 ),
    inference(avatar_split_clause,[],[f22016,f16668,f13054,f1058]) ).

thf(f22099,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_24
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f363,f1059]) ).

thf(f22117,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f22099]) ).

thf(f22132,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_115
    | ~ spl2_455 ),
    inference(constrained_superposition,[],[f14746,f8168]) ).

thf(f22133,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_115
    | ~ spl2_520 ),
    inference(constrained_superposition,[],[f18224,f8168]) ).

thf(f22166,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_115
    | ~ spl2_520 ),
    inference(trivial_inequality_removal,[],[f22133]) ).

thf(f22167,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_115
    | ~ spl2_455 ),
    inference(trivial_inequality_removal,[],[f22132]) ).

thf(f22175,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_82
    | ~ spl2_115
    | ~ spl2_520 ),
    inference(forward_subsumption_resolution,[],[f22166,f1225]) ).

thf(f22176,plain,
    ( spl2_248
    | ~ spl2_115
    | ~ spl2_455 ),
    inference(avatar_split_clause,[],[f22167,f14745,f2504,f7987]) ).

thf(f22182,plain,
    ( ~ spl2_63
    | ~ spl2_82
    | ~ spl2_115
    | ~ spl2_520 ),
    inference(avatar_split_clause,[],[f22175,f18223,f2504,f1224,f981]) ).

thf(f22274,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_286 ),
    inference(constrained_superposition,[],[f8332,f83]) ).

thf(f22276,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f22274]) ).

thf(f22279,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f22276,f41]) ).

thf(f22292,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( $true != $true )
    | ~ spl2_118
    | spl2_273 ),
    inference(constrained_superposition,[],[f17852,f19952]) ).

thf(f22304,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ~ spl2_118
    | spl2_273 ),
    inference(trivial_inequality_removal,[],[f22292]) ).

thf(f22307,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ~ spl2_118
    | spl2_247
    | spl2_273 ),
    inference(forward_subsumption_resolution,[],[f22304,f8208]) ).

thf(f22309,plain,
    ( $false
    | ~ spl2_118
    | spl2_247
    | spl2_273 ),
    inference(forward_subsumption_resolution,[],[f22307,f41]) ).

thf(f22310,plain,
    ( ~ spl2_118
    | spl2_247
    | spl2_273 ),
    inference(avatar_contradiction_clause,[],[f22309]) ).

thf(f22318,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5105,f82]) ).

thf(f22324,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f22318]) ).

thf(f22469,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_179 ),
    inference(constrained_superposition,[],[f4676,f171]) ).

thf(f22479,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_179 ),
    inference(trivial_inequality_removal,[],[f22469]) ).

thf(f22507,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_61 ),
    inference(constrained_superposition,[],[f975,f722]) ).

thf(f22511,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_61 ),
    inference(constrained_superposition,[],[f975,f50]) ).

thf(f22514,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_61 ),
    inference(trivial_inequality_removal,[],[f22511]) ).

thf(f22519,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl2_61 ),
    inference(trivial_inequality_removal,[],[f22507]) ).

thf(f22610,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_399
    | ~ spl2_412 ),
    inference(constrained_superposition,[],[f13231,f13085]) ).

thf(f22622,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_399
    | ~ spl2_412 ),
    inference(trivial_inequality_removal,[],[f22610]) ).

thf(f22625,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_399
    | ~ spl2_412 ),
    inference(forward_subsumption_resolution,[],[f22622,f99]) ).

thf(f22626,plain,
    ( ~ spl2_4
    | ~ spl2_399
    | ~ spl2_412 ),
    inference(avatar_contradiction_clause,[],[f22625]) ).

thf(f22679,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_24
    | ~ spl2_259
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f16833,f8083]) ).

thf(f22686,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f183,f8083]) ).

thf(f22699,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_24
    | ~ spl2_259
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f22679]) ).

thf(f22706,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f22686]) ).

thf(f22719,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_24
    | ~ spl2_259
    | ~ spl2_269
    | ~ spl2_411 ),
    inference(forward_subsumption_resolution,[],[f22699,f13225]) ).

thf(f22720,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_259
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f22706,f22279]) ).

thf(f22723,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_259
    | ~ spl2_269
    | ~ spl2_400
    | ~ spl2_411 ),
    inference(forward_subsumption_resolution,[],[f22719,f13089]) ).

thf(f22724,plain,
    ( ~ spl2_24
    | ~ spl2_259
    | ~ spl2_269
    | ~ spl2_400
    | ~ spl2_411 ),
    inference(avatar_contradiction_clause,[],[f22723]) ).

thf(f22725,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_259
    | spl2_286
    | spl2_396 ),
    inference(forward_subsumption_resolution,[],[f22720,f14581]) ).

thf(f22727,plain,
    ( spl2_386
    | ~ spl2_259
    | spl2_286
    | spl2_396 ),
    inference(avatar_split_clause,[],[f22725,f13058,f8331,f8082,f12929]) ).

thf(f22844,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f22117,f17686]) ).

thf(f22846,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f22117,f1225]) ).

thf(f22850,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f22844]) ).

thf(f22853,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f22846]) ).

thf(f22856,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_411
    | ~ spl2_437 ),
    inference(forward_subsumption_resolution,[],[f22850,f13225]) ).

thf(f22857,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_400
    | ~ spl2_411
    | ~ spl2_437 ),
    inference(forward_subsumption_resolution,[],[f22856,f13089]) ).

thf(f22858,plain,
    ( ~ spl2_24
    | ~ spl2_76
    | ~ spl2_400
    | ~ spl2_411
    | ~ spl2_437 ),
    inference(avatar_contradiction_clause,[],[f22857]) ).

thf(f22902,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_433
    | ~ spl2_437
    | ~ spl2_525 ),
    inference(forward_subsumption_resolution,[],[f21853,f13813]) ).

thf(f22915,plain,
    ( spl2_389
    | ~ spl2_433
    | ~ spl2_437
    | ~ spl2_525 ),
    inference(avatar_split_clause,[],[f22902,f18677,f13998,f13812,f13029]) ).

thf(f22938,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_399
    | ~ spl2_439 ),
    inference(constrained_superposition,[],[f13085,f14119]) ).

thf(f22972,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_439 ),
    inference(constrained_superposition,[],[f82,f14119]) ).

thf(f22979,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_439 ),
    inference(constrained_superposition,[],[f170,f14119]) ).

thf(f22984,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_439 ),
    inference(constrained_superposition,[],[f721,f14119]) ).

thf(f23043,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_118
    | ~ spl2_439 ),
    inference(constrained_superposition,[],[f19952,f14119]) ).

thf(f23055,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | spl2_109
    | ~ spl2_118
    | ~ spl2_439 ),
    inference(forward_subsumption_resolution,[],[f23043,f2562]) ).

thf(f23063,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
      = $true )
    | spl2_12
    | ~ spl2_439 ),
    inference(forward_subsumption_resolution,[],[f22972,f151]) ).

thf(f23071,plain,
    ( $false
    | spl2_109
    | ~ spl2_399
    | ~ spl2_439 ),
    inference(forward_subsumption_resolution,[],[f22938,f2562]) ).

thf(f23072,plain,
    ( spl2_109
    | ~ spl2_399
    | ~ spl2_439 ),
    inference(avatar_contradiction_clause,[],[f23071]) ).

thf(f23075,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_29
    | ~ spl2_439 ),
    inference(forward_subsumption_resolution,[],[f22979,f288]) ).

thf(f23080,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_99
    | ~ spl2_439 ),
    inference(forward_subsumption_resolution,[],[f22984,f1628]) ).

thf(f23087,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | spl2_109
    | ~ spl2_118
    | ~ spl2_439 ),
    inference(forward_subsumption_resolution,[],[f23055,f41]) ).

thf(f23093,plain,
    ( $false
    | spl2_12
    | spl2_109
    | ~ spl2_439 ),
    inference(forward_subsumption_resolution,[],[f23063,f2562]) ).

thf(f23094,plain,
    ( spl2_12
    | spl2_109
    | ~ spl2_439 ),
    inference(avatar_contradiction_clause,[],[f23093]) ).

thf(f23098,plain,
    ( $false
    | spl2_29
    | spl2_46
    | ~ spl2_439 ),
    inference(forward_subsumption_resolution,[],[f23075,f505]) ).

thf(f23099,plain,
    ( spl2_29
    | spl2_46
    | ~ spl2_439 ),
    inference(avatar_contradiction_clause,[],[f23098]) ).

thf(f23104,plain,
    ( $false
    | spl2_99
    | spl2_137
    | ~ spl2_439 ),
    inference(forward_subsumption_resolution,[],[f23080,f3844]) ).

thf(f23105,plain,
    ( spl2_99
    | spl2_137
    | ~ spl2_439 ),
    inference(avatar_contradiction_clause,[],[f23104]) ).

thf(f23110,plain,
    ( $false
    | spl2_109
    | spl2_116
    | ~ spl2_118
    | ~ spl2_439 ),
    inference(forward_subsumption_resolution,[],[f23087,f2544]) ).

thf(f23111,plain,
    ( spl2_109
    | spl2_116
    | ~ spl2_118
    | ~ spl2_439 ),
    inference(avatar_contradiction_clause,[],[f23110]) ).

thf(f23126,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_198
    | ~ spl2_402 ),
    inference(constrained_superposition,[],[f5105,f13096]) ).

thf(f23131,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_198
    | ~ spl2_402 ),
    inference(trivial_inequality_removal,[],[f23126]) ).

thf(f23136,plain,
    ( ~ spl2_399
    | ~ spl2_198
    | ~ spl2_402 ),
    inference(avatar_split_clause,[],[f23131,f13095,f5104,f13084]) ).

thf(f23137,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_118
    | spl2_399 ),
    inference(constrained_superposition,[],[f14795,f19952]) ).

thf(f23140,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_118
    | spl2_399 ),
    inference(trivial_inequality_removal,[],[f23137]) ).

thf(f23142,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_118
    | spl2_399 ),
    inference(forward_subsumption_resolution,[],[f23140,f41]) ).

thf(f23143,plain,
    ( $false
    | ~ spl2_118
    | spl2_389
    | spl2_399 ),
    inference(forward_subsumption_resolution,[],[f23142,f13218]) ).

thf(f23144,plain,
    ( ~ spl2_118
    | spl2_389
    | spl2_399 ),
    inference(avatar_contradiction_clause,[],[f23143]) ).

thf(f23155,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_303
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f9420,f13059]) ).

thf(f23156,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f5897,f13059]) ).

thf(f23159,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f23156]) ).

thf(f23162,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_303
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f23155]) ).

thf(f23197,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_349
    | ~ spl2_469 ),
    inference(constrained_superposition,[],[f15570,f10984]) ).

thf(f23210,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_349
    | ~ spl2_469 ),
    inference(trivial_inequality_removal,[],[f23197]) ).

thf(f23214,plain,
    ( $false
    | ~ spl2_86
    | ~ spl2_349
    | ~ spl2_469 ),
    inference(forward_subsumption_resolution,[],[f23210,f1276]) ).

thf(f23215,plain,
    ( ~ spl2_86
    | ~ spl2_349
    | ~ spl2_469 ),
    inference(avatar_contradiction_clause,[],[f23214]) ).

thf(f23234,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_313
    | ~ spl2_477 ),
    inference(constrained_superposition,[],[f15725,f10195]) ).

thf(f23262,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_313
    | ~ spl2_477 ),
    inference(trivial_inequality_removal,[],[f23234]) ).

thf(f23273,plain,
    ( ~ spl2_362
    | ~ spl2_313
    | ~ spl2_477 ),
    inference(avatar_split_clause,[],[f23262,f15724,f10194,f11611]) ).

thf(f23314,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(constrained_superposition,[],[f11017,f10984]) ).

thf(f23323,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(trivial_inequality_removal,[],[f23314]) ).

thf(f23356,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(constrained_superposition,[],[f23323,f10984]) ).

thf(f23358,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(trivial_inequality_removal,[],[f23356]) ).

thf(f23365,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(constrained_superposition,[],[f23358,f171]) ).

thf(f23369,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(trivial_inequality_removal,[],[f23365]) ).

thf(f23375,plain,
    ( spl2_288
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(avatar_split_clause,[],[f23369,f11016,f10983,f8337]) ).

thf(f23394,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_247
    | ~ spl2_511 ),
    inference(constrained_superposition,[],[f17851,f7985]) ).

thf(f23403,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_511 ),
    inference(trivial_inequality_removal,[],[f23394]) ).

thf(f23404,plain,
    ( spl2_505
    | ~ spl2_247
    | ~ spl2_511 ),
    inference(avatar_split_clause,[],[f23403,f17850,f7984,f17440]) ).

thf(f23409,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
         != $true ) )
    | ~ spl2_505 ),
    inference(constrained_superposition,[],[f17441,f82]) ).

thf(f23418,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_505 ),
    inference(trivial_inequality_removal,[],[f23409]) ).

thf(f23425,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_540 ),
    inference(constrained_superposition,[],[f19622,f171]) ).

thf(f23435,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_540 ),
    inference(trivial_inequality_removal,[],[f23425]) ).

thf(f23650,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( sK1 = X0 )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_120 ),
    inference(constrained_superposition,[],[f2569,f27]) ).

thf(f23655,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( sK1 = X0 )
        | ( ( b @ X0 @ sK1 )
          = $true ) )
    | ~ spl2_120 ),
    inference(trivial_inequality_removal,[],[f23650]) ).

thf(f23665,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(constrained_superposition,[],[f12919,f8107]) ).

thf(f23673,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(trivial_inequality_removal,[],[f23665]) ).

thf(f23682,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(constrained_superposition,[],[f23673,f722]) ).

thf(f23684,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(constrained_superposition,[],[f23673,f52]) ).

thf(f23687,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(trivial_inequality_removal,[],[f23682]) ).

thf(f23688,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(trivial_inequality_removal,[],[f23684]) ).

thf(f23720,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_255
    | ~ spl2_540 ),
    inference(constrained_superposition,[],[f23435,f8029]) ).

thf(f23727,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_255
    | ~ spl2_540 ),
    inference(trivial_inequality_removal,[],[f23720]) ).

thf(f23748,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_179
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f22479,f13059]) ).

thf(f23755,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_179
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f23748]) ).

thf(f23759,plain,
    ( spl2_433
    | ~ spl2_179
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f23755,f13058,f4675,f13812]) ).

thf(f23820,definition,
    ( spl2_570
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_570])],[avatar_definition]) ).

thf(f23821,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_570 ),
    inference(avatar_component_clause,[],[f23820]) ).

thf(f23834,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_110
    | ~ spl2_266 ),
    inference(constrained_superposition,[],[f2471,f8107]) ).

thf(f23837,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_110
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f2471,f8168]) ).

thf(f23839,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_110
    | ~ spl2_266 ),
    inference(trivial_inequality_removal,[],[f23834]) ).

thf(f23846,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_110
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f23837]) ).

thf(f23848,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_110
    | ~ spl2_266
    | ~ spl2_289 ),
    inference(forward_subsumption_resolution,[],[f23839,f8342]) ).

thf(f23849,plain,
    ( $false
    | ~ spl2_110
    | ~ spl2_266
    | spl2_286
    | ~ spl2_289 ),
    inference(forward_subsumption_resolution,[],[f23848,f22279]) ).

thf(f23850,plain,
    ( ~ spl2_110
    | ~ spl2_266
    | spl2_286
    | ~ spl2_289 ),
    inference(avatar_contradiction_clause,[],[f23849]) ).

thf(f23853,plain,
    ( spl2_269
    | ~ spl2_255
    | ~ spl2_540 ),
    inference(avatar_split_clause,[],[f23727,f19621,f8028,f8159]) ).

thf(f23856,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_103
    | ~ spl2_254 ),
    inference(constrained_superposition,[],[f2148,f8026]) ).

thf(f23857,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_103
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f2148,f7988]) ).

thf(f23869,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_103
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f23857]) ).

thf(f23874,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_103
    | ~ spl2_254 ),
    inference(trivial_inequality_removal,[],[f23856]) ).

thf(f23875,plain,
    ( $false
    | ~ spl2_103
    | ~ spl2_248
    | ~ spl2_278 ),
    inference(forward_subsumption_resolution,[],[f23869,f8233]) ).

thf(f23876,plain,
    ( ~ spl2_103
    | ~ spl2_248
    | ~ spl2_278 ),
    inference(avatar_contradiction_clause,[],[f23875]) ).

thf(f23877,plain,
    ( $false
    | ~ spl2_103
    | ~ spl2_254
    | ~ spl2_292 ),
    inference(forward_subsumption_resolution,[],[f23874,f8423]) ).

thf(f23878,plain,
    ( ~ spl2_103
    | ~ spl2_254
    | ~ spl2_292 ),
    inference(avatar_contradiction_clause,[],[f23877]) ).

thf(f23884,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_24
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f363,f8160]) ).

thf(f23890,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f31,f8160]) ).

thf(f23910,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f23890]) ).

thf(f23911,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f23884]) ).

thf(f23917,plain,
    ( spl2_551
    | ~ spl2_269 ),
    inference(avatar_split_clause,[],[f23910,f8159,f20755]) ).

thf(f23928,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_286
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f9420,f8424]) ).

thf(f23935,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_286
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f23928]) ).

thf(f23937,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_284
    | ~ spl2_286
    | ~ spl2_303 ),
    inference(forward_subsumption_resolution,[],[f23935,f8324]) ).

thf(f23938,plain,
    ( spl2_548
    | ~ spl2_284
    | ~ spl2_286
    | ~ spl2_303 ),
    inference(avatar_split_clause,[],[f23937,f9419,f8331,f8323,f20188]) ).

thf(f23992,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_263
    | ~ spl2_383 ),
    inference(constrained_superposition,[],[f12919,f8097]) ).

thf(f24024,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_263
    | ~ spl2_383 ),
    inference(trivial_inequality_removal,[],[f23992]) ).

thf(f24032,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_263
    | ~ spl2_383 ),
    inference(constrained_superposition,[],[f24024,f722]) ).

thf(f24039,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_263
    | ~ spl2_383 ),
    inference(trivial_inequality_removal,[],[f24032]) ).

thf(f24043,plain,
    ( spl2_392
    | ~ spl2_263
    | ~ spl2_383 ),
    inference(avatar_split_clause,[],[f24039,f12918,f8096,f13042]) ).

thf(f24117,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_24
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f23911,f722]) ).

thf(f24126,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_24
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f24117]) ).

thf(f24141,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_61
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f22519,f8160]) ).

thf(f24146,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_61
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f24141]) ).

thf(f24225,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f953,f10203]) ).

thf(f24246,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f24225]) ).

thf(f24287,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_396
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f14158,f13059]) ).

thf(f24299,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_396
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f24287]) ).

thf(f24329,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_392
    | ~ spl2_396
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f24299,f13043]) ).

thf(f24346,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_392
    | ~ spl2_396
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f24329]) ).

thf(f24363,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_392
    | ~ spl2_396
    | ~ spl2_440 ),
    inference(constrained_superposition,[],[f24346,f171]) ).

thf(f24367,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_392
    | ~ spl2_396
    | ~ spl2_440 ),
    inference(trivial_inequality_removal,[],[f24363]) ).

thf(f24373,plain,
    ( spl2_433
    | ~ spl2_392
    | ~ spl2_396
    | ~ spl2_440 ),
    inference(avatar_split_clause,[],[f24367,f14157,f13058,f13042,f13812]) ).

thf(f24375,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_24
    | spl2_72 ),
    inference(forward_subsumption_resolution,[],[f16181,f230]) ).

thf(f24377,plain,
    ( ~ spl2_73
    | spl2_132
    | ~ spl2_86
    | ~ spl2_303 ),
    inference(avatar_split_clause,[],[f17822,f9419,f1275,f3262,f1045]) ).

thf(f24378,plain,
    ( ~ spl2_8
    | ~ spl2_12
    | ~ spl2_24
    | ~ spl2_38 ),
    inference(avatar_split_clause,[],[f12977,f382,f229,f150,f111]) ).

thf(f24379,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_110
    | ~ spl2_115 ),
    inference(forward_subsumption_resolution,[],[f23846,f230]) ).

thf(f24381,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_82 ),
    inference(forward_subsumption_resolution,[],[f22853,f230]) ).

thf(f24382,plain,
    ( spl2_73
    | spl2_95
    | ~ spl2_531 ),
    inference(avatar_split_clause,[],[f21934,f18936,f1493,f1045]) ).

thf(f24384,plain,
    ( ~ spl2_12
    | spl2_73
    | ~ spl2_24
    | spl2_72 ),
    inference(avatar_split_clause,[],[f24375,f1042,f229,f1045,f150]) ).

thf(f24386,plain,
    ( ~ spl2_12
    | ~ spl2_24
    | ~ spl2_110
    | ~ spl2_115 ),
    inference(avatar_split_clause,[],[f24379,f2504,f2470,f229,f150]) ).

thf(f24388,plain,
    ( ~ spl2_12
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f24381,f1224,f1058,f229,f150]) ).

thf(f24397,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_74
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(forward_subsumption_resolution,[],[f23688,f7923]) ).

thf(f24399,plain,
    ( spl2_248
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(avatar_split_clause,[],[f23687,f12918,f8106,f7987]) ).

thf(f24400,plain,
    ( spl2_248
    | spl2_74
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(avatar_split_clause,[],[f24397,f12918,f8106,f1048,f7987]) ).

thf(f24419,definition,
    ( spl2_572
  <=> ! [X0: $i] :
        ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_572])],[avatar_definition]) ).

thf(f24420,plain,
    ( ! [X0: $i] :
        ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
        = $true )
    | ~ spl2_572 ),
    inference(avatar_component_clause,[],[f24419]) ).

thf(f24504,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_24
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f363,f13813]) ).

thf(f24533,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f24504]) ).

thf(f24544,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_268
    | ~ spl2_492 ),
    inference(constrained_superposition,[],[f16276,f11147]) ).

thf(f24548,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_247
    | ~ spl2_492 ),
    inference(constrained_superposition,[],[f16276,f7985]) ).

thf(f24554,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_268
    | ~ spl2_492 ),
    inference(trivial_inequality_removal,[],[f24544]) ).

thf(f24560,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_247
    | ~ spl2_492 ),
    inference(trivial_inequality_removal,[],[f24548]) ).

thf(f24562,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_268
    | ~ spl2_492 ),
    inference(forward_subsumption_resolution,[],[f24554,f245]) ).

thf(f24563,plain,
    ( ~ spl2_26
    | ~ spl2_268
    | ~ spl2_492 ),
    inference(avatar_contradiction_clause,[],[f24562]) ).

thf(f24564,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_247
    | ~ spl2_492 ),
    inference(forward_subsumption_resolution,[],[f24560,f99]) ).

thf(f24565,plain,
    ( ~ spl2_4
    | ~ spl2_247
    | ~ spl2_492 ),
    inference(avatar_contradiction_clause,[],[f24564]) ).

thf(f24655,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_410 ),
    inference(constrained_superposition,[],[f13221,f13030]) ).

thf(f24669,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_410 ),
    inference(trivial_inequality_removal,[],[f24655]) ).

thf(f24671,plain,
    ( spl2_419
    | ~ spl2_389
    | ~ spl2_410 ),
    inference(avatar_split_clause,[],[f24669,f13220,f13029,f13610]) ).

thf(f24680,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(constrained_superposition,[],[f9810,f11147]) ).

thf(f24693,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(trivial_inequality_removal,[],[f24680]) ).

thf(f24698,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) ) )
    | ~ spl2_120
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f22324,f23655]) ).

thf(f24717,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_120
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f24698]) ).

thf(f24725,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_120
    | ~ spl2_198
    | ~ spl2_505 ),
    inference(forward_subsumption_resolution,[],[f24717,f23418]) ).

thf(f24729,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_120
    | ~ spl2_198
    | ~ spl2_505 ),
    inference(forward_subsumption_resolution,[],[f24725,f41]) ).

thf(f24732,definition,
    ( spl2_573
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_573])],[avatar_definition]) ).

thf(f24733,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) ) )
    | ~ spl2_573 ),
    inference(avatar_component_clause,[],[f24732]) ).

thf(f24735,plain,
    ( spl2_573
    | ~ spl2_120
    | ~ spl2_198
    | ~ spl2_505 ),
    inference(avatar_split_clause,[],[f24729,f17440,f5104,f2568,f24732]) ).

thf(f24737,definition,
    ( spl2_574
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_574])],[avatar_definition]) ).

thf(f24738,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_574 ),
    inference(avatar_component_clause,[],[f24737]) ).

thf(f24741,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_86
    | ~ spl2_574 ),
    inference(constrained_superposition,[],[f24738,f1276]) ).

thf(f24764,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_86
    | ~ spl2_574 ),
    inference(trivial_inequality_removal,[],[f24741]) ).

thf(f24773,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_73
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(constrained_superposition,[],[f24693,f1046]) ).

thf(f24781,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(trivial_inequality_removal,[],[f24773]) ).

thf(f24793,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(forward_subsumption_resolution,[],[f24781,f245]) ).

thf(f24794,plain,
    ( ~ spl2_26
    | ~ spl2_73
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(avatar_contradiction_clause,[],[f24793]) ).

thf(f24814,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_284
    | ~ spl2_287 ),
    inference(constrained_superposition,[],[f8335,f8324]) ).

thf(f24831,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_284
    | ~ spl2_287 ),
    inference(trivial_inequality_removal,[],[f24814]) ).

thf(f24833,plain,
    ( spl2_492
    | ~ spl2_284
    | ~ spl2_287 ),
    inference(avatar_split_clause,[],[f24831,f8334,f8323,f16275]) ).

thf(f24911,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_24
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f24533,f51]) ).

thf(f24912,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_24
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f24911]) ).

thf(f24924,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_399
    | ~ spl2_415 ),
    inference(constrained_superposition,[],[f13380,f13085]) ).

thf(f24934,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_399
    | ~ spl2_415 ),
    inference(trivial_inequality_removal,[],[f24924]) ).

thf(f24942,plain,
    ( spl2_492
    | ~ spl2_399
    | ~ spl2_415 ),
    inference(avatar_split_clause,[],[f24934,f13379,f13084,f16275]) ).

thf(f24945,definition,
    ( spl2_575
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_575])],[avatar_definition]) ).

thf(f24946,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_575 ),
    inference(avatar_component_clause,[],[f24945]) ).

thf(f24947,plain,
    ( ~ spl2_399
    | spl2_575
    | ~ spl2_303
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f23162,f13058,f9419,f24945,f13084]) ).

thf(f25104,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(constrained_superposition,[],[f9810,f11147]) ).

thf(f25115,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(trivial_inequality_removal,[],[f25104]) ).

thf(f25125,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_248
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(constrained_superposition,[],[f25115,f7988]) ).

thf(f25140,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_248
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(trivial_inequality_removal,[],[f25125]) ).

thf(f25146,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_248
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(constrained_superposition,[],[f25140,f171]) ).

thf(f25151,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_248
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(trivial_inequality_removal,[],[f25146]) ).

thf(f25154,plain,
    ( spl2_288
    | ~ spl2_248
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(avatar_split_clause,[],[f25151,f9809,f8156,f7987,f8337]) ).

thf(f25156,plain,
    ( ~ spl2_16
    | spl2_68
    | ~ spl2_61 ),
    inference(avatar_split_clause,[],[f22514,f974,f998,f190]) ).

thf(f25169,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_315
    | spl2_349 ),
    inference(forward_subsumption_resolution,[],[f24246,f18144]) ).

thf(f25185,plain,
    ( spl2_494
    | ~ spl2_437
    | ~ spl2_315
    | spl2_349 ),
    inference(avatar_split_clause,[],[f25169,f10983,f10202,f13998,f16616]) ).

thf(f25194,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | spl2_16 ),
    inference(constrained_superposition,[],[f191,f50]) ).

thf(f25197,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_16 ),
    inference(trivial_inequality_removal,[],[f25194]) ).

thf(f25199,plain,
    ( spl2_39
    | spl2_16 ),
    inference(avatar_split_clause,[],[f25197,f190,f385]) ).

thf(f25262,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f363,f1059]) ).

thf(f25279,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f25262]) ).

thf(f25321,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_179 ),
    inference(constrained_superposition,[],[f4676,f171]) ).

thf(f25333,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_179 ),
    inference(trivial_inequality_removal,[],[f25321]) ).

thf(f25446,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_179
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f25333,f11147]) ).

thf(f25452,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_179
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f25446]) ).

thf(f25456,plain,
    ( spl2_288
    | ~ spl2_179
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f25452,f8156,f4675,f8337]) ).

thf(f25461,plain,
    ( spl2_37
    | spl2_115
    | ~ spl2_4
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f14389,f8156,f98,f2504,f356]) ).

thf(f25462,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_24
    | ~ spl2_82
    | ~ spl2_269 ),
    inference(forward_subsumption_resolution,[],[f24126,f1225]) ).

thf(f25467,plain,
    ( ~ spl2_49
    | ~ spl2_86
    | ~ spl2_574 ),
    inference(avatar_split_clause,[],[f24764,f24737,f1275,f516]) ).

thf(f25470,plain,
    ( spl2_254
    | ~ spl2_61
    | ~ spl2_269 ),
    inference(avatar_split_clause,[],[f24146,f8159,f974,f8025]) ).

thf(f25473,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_24
    | spl2_74
    | ~ spl2_82 ),
    inference(forward_subsumption_resolution,[],[f20802,f1225]) ).

thf(f25478,plain,
    ( ~ spl2_60
    | spl2_254
    | ~ spl2_24
    | ~ spl2_82
    | ~ spl2_269 ),
    inference(avatar_split_clause,[],[f25462,f8159,f1224,f229,f8025,f971]) ).

thf(f25482,plain,
    ( ~ spl2_21
    | spl2_96
    | ~ spl2_60
    | ~ spl2_24
    | spl2_74
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f25473,f1224,f1048,f229,f971,f1519,f207]) ).

thf(f25515,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_39
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f2682,f386]) ).

thf(f25521,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_39
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f25515]) ).

thf(f25526,plain,
    ( $false
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_121 ),
    inference(forward_subsumption_resolution,[],[f25521,f2556]) ).

thf(f25527,plain,
    ( ~ spl2_39
    | ~ spl2_116
    | ~ spl2_121 ),
    inference(avatar_contradiction_clause,[],[f25526]) ).

thf(f25577,definition,
    ( spl2_576
  <=> ! [X1: $i] :
        ( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_576])],[avatar_definition]) ).

thf(f25578,plain,
    ( ! [X1: $i] :
        ( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X1 ) )
    | ~ spl2_576 ),
    inference(avatar_component_clause,[],[f25577]) ).

thf(f25620,definition,
    ( spl2_577
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_577])],[avatar_definition]) ).

thf(f25621,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_577 ),
    inference(avatar_component_clause,[],[f25620]) ).

thf(f25680,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_389
    | ~ spl2_505 ),
    inference(constrained_superposition,[],[f23418,f13030]) ).

thf(f25685,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_389
    | ~ spl2_505 ),
    inference(trivial_inequality_removal,[],[f25680]) ).

thf(f25696,plain,
    ( ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_115
    | ~ spl2_573 ),
    inference(constrained_superposition,[],[f2505,f24733]) ).

thf(f25724,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_115
    | ~ spl2_573 ),
    inference(trivial_inequality_removal,[],[f25696]) ).

thf(f25744,plain,
    ( spl2_245
    | spl2_115
    | ~ spl2_573 ),
    inference(avatar_split_clause,[],[f25724,f24732,f2504,f7978]) ).

thf(f25775,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_179
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f25333,f8424]) ).

thf(f25779,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_179
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f25775]) ).

thf(f25812,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_181
    | ~ spl2_392 ),
    inference(constrained_superposition,[],[f4809,f13043]) ).

thf(f25813,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_181
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f4809,f7988]) ).

thf(f25816,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_181 ),
    inference(constrained_superposition,[],[f4809,f1046]) ).

thf(f25821,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_181 ),
    inference(trivial_inequality_removal,[],[f25816]) ).

thf(f25824,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_181
    | ~ spl2_392 ),
    inference(trivial_inequality_removal,[],[f25812]) ).

thf(f25827,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_181
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f25813]) ).

thf(f25829,plain,
    ( ~ spl2_49
    | ~ spl2_73
    | ~ spl2_181 ),
    inference(avatar_split_clause,[],[f25821,f4808,f1045,f516]) ).

thf(f25830,plain,
    ( $false
    | ~ spl2_181
    | ~ spl2_392
    | ~ spl2_396 ),
    inference(forward_subsumption_resolution,[],[f25824,f13059]) ).

thf(f25831,plain,
    ( ~ spl2_181
    | ~ spl2_392
    | ~ spl2_396 ),
    inference(avatar_contradiction_clause,[],[f25830]) ).

thf(f25832,plain,
    ( $false
    | ~ spl2_181
    | ~ spl2_248
    | ~ spl2_268 ),
    inference(forward_subsumption_resolution,[],[f25827,f11147]) ).

thf(f25833,plain,
    ( ~ spl2_181
    | ~ spl2_248
    | ~ spl2_268 ),
    inference(avatar_contradiction_clause,[],[f25832]) ).

thf(f25840,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f25279,f17686]) ).

thf(f25869,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f25840]) ).

thf(f25893,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_428 ),
    inference(constrained_superposition,[],[f13705,f721]) ).

thf(f25902,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_428 ),
    inference(trivial_inequality_removal,[],[f25893]) ).

thf(f25909,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_82
    | ~ spl2_428 ),
    inference(forward_subsumption_resolution,[],[f25902,f1225]) ).

thf(f25910,plain,
    ( spl2_295
    | ~ spl2_82
    | ~ spl2_428 ),
    inference(avatar_split_clause,[],[f25909,f13704,f1224,f8434]) ).

thf(f25913,plain,
    ( spl2_269
    | ~ spl2_179
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f25779,f8331,f4675,f8159]) ).

thf(f25920,plain,
    ( spl2_255
    | spl2_297 ),
    inference(avatar_split_clause,[],[f8859,f8444,f8028]) ).

thf(f25949,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | spl2_289 ),
    inference(constrained_superposition,[],[f14467,f52]) ).

thf(f25951,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_289 ),
    inference(trivial_inequality_removal,[],[f25949]) ).

thf(f25953,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_289 ),
    inference(forward_subsumption_resolution,[],[f25951,f41]) ).

thf(f25955,plain,
    ( spl2_285
    | spl2_289 ),
    inference(avatar_split_clause,[],[f25953,f8341,f8327]) ).

thf(f26055,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_262 ),
    inference(constrained_superposition,[],[f58,f8093]) ).

thf(f26073,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_262 ),
    inference(trivial_inequality_removal,[],[f26055]) ).

thf(f26087,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | spl2_247
    | ~ spl2_262 ),
    inference(forward_subsumption_resolution,[],[f26073,f8208]) ).

thf(f26093,definition,
    ( spl2_579
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_579])],[avatar_definition]) ).

thf(f26094,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_579 ),
    inference(avatar_component_clause,[],[f26093]) ).

thf(f26095,plain,
    ( ~ spl2_297
    | spl2_579
    | spl2_247
    | ~ spl2_262 ),
    inference(avatar_split_clause,[],[f26087,f8092,f7984,f26093,f8444]) ).

thf(f26134,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_39
    | ~ spl2_48 ),
    inference(constrained_superposition,[],[f514,f386]) ).

thf(f26139,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_48 ),
    inference(trivial_inequality_removal,[],[f26134]) ).

thf(f26144,plain,
    ( spl2_456
    | ~ spl2_39
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f26139,f513,f385,f14791]) ).

thf(f26284,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_37
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f357,f1276]) ).

thf(f26291,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_37
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f26284]) ).

thf(f26319,plain,
    ( ~ spl2_68
    | ~ spl2_73
    | ~ spl2_37
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f26291,f1275,f356,f1045,f998]) ).

thf(f26321,plain,
    ( spl2_400
    | ~ spl2_389
    | ~ spl2_505 ),
    inference(avatar_split_clause,[],[f25685,f17440,f13029,f13088]) ).

thf(f26336,plain,
    ( ~ spl2_400
    | ~ spl2_411
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f25869,f13998,f1058,f229,f13224,f13088]) ).

thf(f26475,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_286
    | ~ spl2_510 ),
    inference(constrained_superposition,[],[f17802,f8424]) ).

thf(f26478,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_284
    | ~ spl2_510 ),
    inference(constrained_superposition,[],[f17802,f8324]) ).

thf(f26483,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_286
    | ~ spl2_510 ),
    inference(trivial_inequality_removal,[],[f26475]) ).

thf(f26485,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_284
    | ~ spl2_510 ),
    inference(trivial_inequality_removal,[],[f26478]) ).

thf(f26489,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_286
    | ~ spl2_510 ),
    inference(forward_subsumption_resolution,[],[f26483,f201]) ).

thf(f26490,plain,
    ( ~ spl2_19
    | ~ spl2_286
    | ~ spl2_510 ),
    inference(avatar_contradiction_clause,[],[f26489]) ).

thf(f26491,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_284
    | ~ spl2_510 ),
    inference(forward_subsumption_resolution,[],[f26485,f99]) ).

thf(f26492,plain,
    ( ~ spl2_4
    | ~ spl2_284
    | ~ spl2_510 ),
    inference(avatar_contradiction_clause,[],[f26491]) ).

thf(f26523,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_266
    | ~ spl2_579 ),
    inference(constrained_superposition,[],[f26094,f8107]) ).

thf(f26557,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_266
    | ~ spl2_579 ),
    inference(trivial_inequality_removal,[],[f26523]) ).

thf(f26575,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_38 ),
    inference(constrained_superposition,[],[f383,f170]) ).

thf(f26581,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_38 ),
    inference(trivial_inequality_removal,[],[f26575]) ).

thf(f26620,plain,
    ( ~ spl2_33
    | spl2_393
    | ~ spl2_8
    | ~ spl2_24
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f24912,f13812,f229,f111,f13047,f317]) ).

thf(f26621,plain,
    ( ~ spl2_362
    | ~ spl2_266
    | ~ spl2_579 ),
    inference(avatar_split_clause,[],[f26557,f26093,f8106,f11611]) ).

thf(f26681,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_120 ),
    inference(constrained_superposition,[],[f2569,f27]) ).

thf(f26687,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( sK1 = X0 )
        | ( ( b @ X0 @ sK1 )
          = $true ) )
    | ~ spl2_120 ),
    inference(trivial_inequality_removal,[],[f26681]) ).

thf(f26699,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_23
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f227,f1046]) ).

thf(f26705,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_23
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f26699]) ).

thf(f26754,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_86
    | ~ spl2_559 ),
    inference(constrained_superposition,[],[f21771,f1276]) ).

thf(f26762,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_86
    | ~ spl2_559 ),
    inference(trivial_inequality_removal,[],[f26754]) ).

thf(f26768,plain,
    ( $false
    | ~ spl2_39
    | ~ spl2_86
    | ~ spl2_559 ),
    inference(forward_subsumption_resolution,[],[f26762,f386]) ).

thf(f26769,plain,
    ( ~ spl2_39
    | ~ spl2_86
    | ~ spl2_559 ),
    inference(avatar_contradiction_clause,[],[f26768]) ).

thf(f26779,plain,
    ( ~ spl2_68
    | ~ spl2_23
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f26705,f1045,f226,f998]) ).

thf(f26787,plain,
    ( spl2_37
    | spl2_400
    | ~ spl2_4
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f23159,f13058,f98,f13088,f356]) ).

thf(f26816,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_245
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f8324,f7979]) ).

thf(f26817,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_245
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f8338,f7979]) ).

thf(f26821,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_245
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f10195,f7979]) ).

thf(f26824,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_245
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f11147,f7979]) ).

thf(f26826,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_245
    | spl2_277 ),
    inference(constrained_superposition,[],[f11768,f7979]) ).

thf(f26867,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_245 ),
    inference(constrained_superposition,[],[f171,f7979]) ).

thf(f26869,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_18
    | ~ spl2_245 ),
    inference(constrained_superposition,[],[f198,f7979]) ).

thf(f26922,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_18
    | ~ spl2_245 ),
    inference(duplicate_literal_removal,[],[f26869]) ).

thf(f26928,plain,
    ( spl2_26
    | ~ spl2_245
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f26816,f8323,f7978,f244]) ).

thf(f26930,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_29
    | ~ spl2_245 ),
    inference(forward_subsumption_resolution,[],[f26867,f288]) ).

thf(f26932,plain,
    ( $false
    | spl2_63
    | ~ spl2_245
    | ~ spl2_313 ),
    inference(forward_subsumption_resolution,[],[f26821,f982]) ).

thf(f26933,plain,
    ( spl2_63
    | ~ spl2_245
    | ~ spl2_313 ),
    inference(avatar_contradiction_clause,[],[f26932]) ).

thf(f26936,plain,
    ( spl2_46
    | ~ spl2_33
    | spl2_30
    | ~ spl2_18
    | ~ spl2_245 ),
    inference(avatar_split_clause,[],[f26922,f7978,f197,f290,f317,f504]) ).

thf(f26938,plain,
    ( spl2_49
    | ~ spl2_245
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f26824,f8156,f7978,f516]) ).

thf(f26944,plain,
    ( spl2_21
    | ~ spl2_245
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f26817,f8337,f7978,f207]) ).

thf(f26945,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_245
    | spl2_277 ),
    inference(forward_subsumption_resolution,[],[f26826,f230]) ).

thf(f26946,plain,
    ( ~ spl2_24
    | ~ spl2_245
    | spl2_277 ),
    inference(avatar_contradiction_clause,[],[f26945]) ).

thf(f26957,plain,
    ( spl2_46
    | spl2_29
    | ~ spl2_245 ),
    inference(avatar_split_clause,[],[f26930,f7978,f287,f504]) ).

thf(f27024,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f30,f7985]) ).

thf(f27026,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f27024]) ).

thf(f27035,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_505 ),
    inference(constrained_superposition,[],[f17441,f82]) ).

thf(f27045,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_505 ),
    inference(trivial_inequality_removal,[],[f27035]) ).

thf(f27049,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_109
    | ~ spl2_456 ),
    inference(constrained_superposition,[],[f14792,f2467]) ).

thf(f27053,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_109
    | ~ spl2_456 ),
    inference(trivial_inequality_removal,[],[f27049]) ).

thf(f27059,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_109
    | ~ spl2_456 ),
    inference(forward_subsumption_resolution,[],[f27053,f99]) ).

thf(f27060,plain,
    ( ~ spl2_4
    | ~ spl2_109
    | ~ spl2_456 ),
    inference(avatar_contradiction_clause,[],[f27059]) ).

thf(f27102,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f5897,f8176]) ).

thf(f27106,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_273 ),
    inference(duplicate_literal_removal,[],[f27102]) ).

thf(f27107,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true ) )
    | ~ spl2_4
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f27106]) ).

thf(f27124,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_49
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5105,f2145]) ).

thf(f27129,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_49
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f27124]) ).

thf(f27131,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_49
    | ~ spl2_198 ),
    inference(forward_subsumption_resolution,[],[f27129,f245]) ).

thf(f27132,plain,
    ( ~ spl2_26
    | ~ spl2_49
    | ~ spl2_198 ),
    inference(avatar_contradiction_clause,[],[f27131]) ).

thf(f27256,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_248
    | ~ spl2_559 ),
    inference(constrained_superposition,[],[f21771,f7988]) ).

thf(f27260,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_248
    | ~ spl2_559 ),
    inference(trivial_inequality_removal,[],[f27256]) ).

thf(f27265,plain,
    ( $false
    | ~ spl2_247
    | ~ spl2_248
    | ~ spl2_559 ),
    inference(forward_subsumption_resolution,[],[f27260,f7985]) ).

thf(f27266,plain,
    ( ~ spl2_247
    | ~ spl2_248
    | ~ spl2_559 ),
    inference(avatar_contradiction_clause,[],[f27265]) ).

thf(f27267,plain,
    ( $false
    | ~ spl2_98
    | spl2_349 ),
    inference(forward_subsumption_resolution,[],[f18144,f1625]) ).

thf(f27268,plain,
    ( ~ spl2_98
    | spl2_349 ),
    inference(avatar_contradiction_clause,[],[f27267]) ).

thf(f27275,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f25279,f18151]) ).

thf(f27287,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f841,f18151]) ).

thf(f27300,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f27275]) ).

thf(f27307,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f27287]) ).

thf(f27323,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_252
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f8018,f18151]) ).

thf(f27324,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_252 ),
    inference(constrained_superposition,[],[f8018,f1059]) ).

thf(f27328,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_252 ),
    inference(trivial_inequality_removal,[],[f27324]) ).

thf(f27336,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_252
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f27323]) ).

thf(f27337,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_252 ),
    inference(forward_subsumption_resolution,[],[f27328,f230]) ).

thf(f27338,plain,
    ( ~ spl2_24
    | ~ spl2_76
    | ~ spl2_252 ),
    inference(avatar_contradiction_clause,[],[f27337]) ).

thf(f27341,plain,
    ( $false
    | ~ spl2_115
    | ~ spl2_252
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f27336,f8168]) ).

thf(f27342,plain,
    ( ~ spl2_115
    | ~ spl2_252
    | ~ spl2_347 ),
    inference(avatar_contradiction_clause,[],[f27341]) ).

thf(f27441,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_216 ),
    inference(constrained_superposition,[],[f5332,f171]) ).

thf(f27450,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_216 ),
    inference(trivial_inequality_removal,[],[f27441]) ).

thf(f27806,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_284
    | ~ spl2_488 ),
    inference(constrained_superposition,[],[f16203,f8324]) ).

thf(f27812,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_284
    | ~ spl2_488 ),
    inference(duplicate_literal_removal,[],[f27806]) ).

thf(f27813,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ sK1 ) @ X0 ) )
    | ~ spl2_284
    | ~ spl2_488 ),
    inference(trivial_inequality_removal,[],[f27812]) ).

thf(f27822,plain,
    ( spl2_467
    | ~ spl2_284
    | ~ spl2_488 ),
    inference(avatar_split_clause,[],[f27813,f16202,f8323,f15479]) ).

thf(f27851,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_110 ),
    inference(constrained_superposition,[],[f2471,f51]) ).

thf(f27858,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_110 ),
    inference(trivial_inequality_removal,[],[f27851]) ).

thf(f27878,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_396
    | ~ spl2_575 ),
    inference(constrained_superposition,[],[f24946,f13059]) ).

thf(f27882,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_575 ),
    inference(constrained_superposition,[],[f24946,f13030]) ).

thf(f27892,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_389
    | ~ spl2_575 ),
    inference(trivial_inequality_removal,[],[f27882]) ).

thf(f27893,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_396
    | ~ spl2_575 ),
    inference(trivial_inequality_removal,[],[f27878]) ).

thf(f27923,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_347
    | ~ spl2_525 ),
    inference(constrained_superposition,[],[f18678,f18151]) ).

thf(f27926,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_82
    | ~ spl2_525 ),
    inference(constrained_superposition,[],[f18678,f1225]) ).

thf(f27929,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_347
    | ~ spl2_525 ),
    inference(trivial_inequality_removal,[],[f27923]) ).

thf(f27937,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ~ spl2_82
    | ~ spl2_525 ),
    inference(trivial_inequality_removal,[],[f27926]) ).

thf(f27938,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_278
    | ~ spl2_358 ),
    inference(constrained_superposition,[],[f11061,f8233]) ).

thf(f27942,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_248
    | ~ spl2_358 ),
    inference(constrained_superposition,[],[f11061,f7988]) ).

thf(f27944,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_248
    | ~ spl2_358 ),
    inference(trivial_inequality_removal,[],[f27942]) ).

thf(f27947,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_278
    | ~ spl2_358 ),
    inference(duplicate_literal_removal,[],[f27938]) ).

thf(f27948,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_278
    | ~ spl2_358 ),
    inference(trivial_inequality_removal,[],[f27947]) ).

thf(f27951,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_248
    | ~ spl2_358 ),
    inference(forward_subsumption_resolution,[],[f27944,f1046]) ).

thf(f27952,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_4
    | ~ spl2_278
    | ~ spl2_358 ),
    inference(forward_subsumption_resolution,[],[f27948,f99]) ).

thf(f27953,plain,
    ( spl2_103
    | ~ spl2_73
    | ~ spl2_248
    | ~ spl2_358 ),
    inference(avatar_split_clause,[],[f27951,f11060,f7987,f1045,f2147]) ).

thf(f27954,plain,
    ( spl2_555
    | ~ spl2_4
    | ~ spl2_278
    | ~ spl2_358 ),
    inference(avatar_split_clause,[],[f27952,f11060,f8232,f98,f21015]) ).

thf(f27960,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_216 ),
    inference(constrained_superposition,[],[f27450,f171]) ).

thf(f27968,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_216 ),
    inference(duplicate_literal_removal,[],[f27960]) ).

thf(f27969,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_216 ),
    inference(trivial_inequality_removal,[],[f27968]) ).

thf(f27978,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_270
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f8163,f8424]) ).

thf(f27981,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_270
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f8163,f8324]) ).

thf(f27986,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_270
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f27978]) ).

thf(f27989,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_270
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f27981]) ).

thf(f27997,definition,
    ( spl2_588
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_588])],[avatar_definition]) ).

thf(f27998,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_588 ),
    inference(avatar_component_clause,[],[f27997]) ).

thf(f28002,definition,
    ( spl2_589
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_589])],[avatar_definition]) ).

thf(f28003,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_589 ),
    inference(avatar_component_clause,[],[f28002]) ).

thf(f28005,plain,
    ( spl2_589
    | ~ spl2_270
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f27989,f8323,f8162,f28002]) ).

thf(f28006,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_268
    | ~ spl2_589 ),
    inference(constrained_superposition,[],[f28003,f11147]) ).

thf(f28018,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_268
    | ~ spl2_589 ),
    inference(trivial_inequality_removal,[],[f28006]) ).

thf(f28033,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_273
    | ~ spl2_588 ),
    inference(constrained_superposition,[],[f27998,f8176]) ).

thf(f28046,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_273
    | ~ spl2_588 ),
    inference(trivial_inequality_removal,[],[f28033]) ).

thf(f28050,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_273
    | ~ spl2_588 ),
    inference(forward_subsumption_resolution,[],[f28046,f245]) ).

thf(f28051,plain,
    ( ~ spl2_26
    | ~ spl2_273
    | ~ spl2_588 ),
    inference(avatar_contradiction_clause,[],[f28050]) ).

thf(f28062,plain,
    ( spl2_588
    | ~ spl2_270
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f27986,f8331,f8162,f27997]) ).

thf(f28220,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_383 ),
    inference(constrained_superposition,[],[f12919,f81]) ).

thf(f28221,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_383 ),
    inference(constrained_superposition,[],[f12919,f50]) ).

thf(f28225,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_383 ),
    inference(trivial_inequality_removal,[],[f28220]) ).

thf(f28229,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_383 ),
    inference(trivial_inequality_removal,[],[f28221]) ).

thf(f28232,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_286
    | ~ spl2_340 ),
    inference(constrained_superposition,[],[f10861,f8424]) ).

thf(f28236,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_284
    | ~ spl2_340 ),
    inference(constrained_superposition,[],[f10861,f8324]) ).

thf(f28247,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_284
    | ~ spl2_340 ),
    inference(trivial_inequality_removal,[],[f28236]) ).

thf(f28248,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_286
    | ~ spl2_340 ),
    inference(trivial_inequality_removal,[],[f28232]) ).

thf(f28250,plain,
    ( spl2_574
    | ~ spl2_284
    | ~ spl2_340 ),
    inference(avatar_split_clause,[],[f28247,f10860,f8323,f24737]) ).

thf(f28280,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_73
    | ~ spl2_286
    | ~ spl2_340 ),
    inference(constrained_superposition,[],[f28248,f1046]) ).

thf(f28290,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_286
    | ~ spl2_340 ),
    inference(trivial_inequality_removal,[],[f28280]) ).

thf(f28297,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_286
    | ~ spl2_340 ),
    inference(forward_subsumption_resolution,[],[f28290,f245]) ).

thf(f28298,plain,
    ( ~ spl2_26
    | ~ spl2_73
    | ~ spl2_286
    | ~ spl2_340 ),
    inference(avatar_contradiction_clause,[],[f28297]) ).

thf(f28305,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_120
    | spl2_284 ),
    inference(constrained_superposition,[],[f17803,f26687]) ).

thf(f28308,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_120
    | spl2_284 ),
    inference(trivial_inequality_removal,[],[f28305]) ).

thf(f28310,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_120
    | spl2_284 ),
    inference(forward_subsumption_resolution,[],[f28308,f41]) ).

thf(f28311,plain,
    ( spl2_253
    | spl2_255
    | ~ spl2_120
    | spl2_284 ),
    inference(avatar_split_clause,[],[f28310,f8323,f2568,f8028,f8022]) ).

thf(f28313,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_255
    | ~ spl2_505 ),
    inference(constrained_superposition,[],[f27045,f8029]) ).

thf(f28321,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_255
    | ~ spl2_505 ),
    inference(trivial_inequality_removal,[],[f28313]) ).

thf(f28330,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f363,f8160]) ).

thf(f28359,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f28330]) ).

thf(f28432,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_315
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f24533,f10203]) ).

thf(f28465,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_315
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f28432]) ).

thf(f28535,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_262
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f28359,f8093]) ).

thf(f28546,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_262
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f28535]) ).

thf(f28549,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_275
    | ~ spl2_278 ),
    inference(constrained_superposition,[],[f8213,f8233]) ).

thf(f28559,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_275
    | ~ spl2_278 ),
    inference(trivial_inequality_removal,[],[f28549]) ).

thf(f28650,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_275
    | ~ spl2_278 ),
    inference(forward_subsumption_resolution,[],[f28559,f99]) ).

thf(f28652,plain,
    ( spl2_289
    | ~ spl2_255
    | ~ spl2_505 ),
    inference(avatar_split_clause,[],[f28321,f17440,f8028,f8341]) ).

thf(f28660,plain,
    ( spl2_456
    | ~ spl2_4
    | ~ spl2_275
    | ~ spl2_278 ),
    inference(avatar_split_clause,[],[f28650,f8232,f8212,f98,f14791]) ).

thf(f28900,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | ~ spl2_247
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f27026,f7988]) ).

thf(f28905,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f28900]) ).

thf(f28908,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_247
    | ~ spl2_248 ),
    inference(forward_subsumption_resolution,[],[f28905,f999]) ).

thf(f28916,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_247
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f28908,f999]) ).

thf(f28930,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_247
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f28916]) ).

thf(f28934,plain,
    ( spl2_419
    | ~ spl2_68
    | ~ spl2_247
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f28930,f7987,f7984,f998,f13610]) ).

thf(f28936,definition,
    ( spl2_594
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_594])],[avatar_definition]) ).

thf(f28937,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_594 ),
    inference(avatar_component_clause,[],[f28936]) ).

thf(f28938,plain,
    ( ~ spl2_68
    | spl2_594
    | ~ spl2_247
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f28905,f7987,f7984,f28936,f998]) ).

thf(f28952,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_39 ),
    inference(constrained_superposition,[],[f30,f386]) ).

thf(f28953,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_39 ),
    inference(trivial_inequality_removal,[],[f28952]) ).

thf(f29009,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_39
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f28953,f13059]) ).

thf(f29010,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f28953,f8424]) ).

thf(f29016,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f29009]) ).

thf(f29019,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f29010]) ).

thf(f29021,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_39
    | ~ spl2_389
    | ~ spl2_396 ),
    inference(forward_subsumption_resolution,[],[f29016,f13030]) ).

thf(f29022,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_255
    | ~ spl2_286 ),
    inference(forward_subsumption_resolution,[],[f29019,f8029]) ).

thf(f29024,plain,
    ( spl2_410
    | ~ spl2_39
    | ~ spl2_389
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f29021,f13058,f13029,f385,f13220]) ).

thf(f29025,plain,
    ( spl2_302
    | ~ spl2_39
    | ~ spl2_255
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f29022,f8331,f8028,f385,f8846]) ).

thf(f29028,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_115
    | ~ spl2_262
    | ~ spl2_269 ),
    inference(forward_subsumption_resolution,[],[f28546,f8168]) ).

thf(f29034,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_115
    | ~ spl2_315
    | ~ spl2_433 ),
    inference(forward_subsumption_resolution,[],[f28465,f8168]) ).

thf(f29040,plain,
    ( spl2_505
    | ~ spl2_389
    | ~ spl2_575 ),
    inference(avatar_split_clause,[],[f27892,f24945,f13029,f17440]) ).

thf(f29041,plain,
    ( spl2_196
    | ~ spl2_396
    | ~ spl2_575 ),
    inference(avatar_split_clause,[],[f27893,f24945,f13058,f5093]) ).

thf(f29055,definition,
    ( spl2_595
  <=> ! [X0: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_595])],[avatar_definition]) ).

thf(f29056,plain,
    ( ! [X0: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true )
    | ~ spl2_595 ),
    inference(avatar_component_clause,[],[f29055]) ).

thf(f29057,plain,
    ( ~ spl2_49
    | spl2_595
    | ~ spl2_216 ),
    inference(avatar_split_clause,[],[f27969,f5331,f29055,f516]) ).

thf(f29061,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_82
    | spl2_116
    | ~ spl2_525 ),
    inference(forward_subsumption_resolution,[],[f27937,f2544]) ).

thf(f29062,plain,
    ( ~ spl2_49
    | ~ spl2_268
    | ~ spl2_589 ),
    inference(avatar_split_clause,[],[f28018,f28002,f8156,f516]) ).

thf(f29065,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f27300,f8168]) ).

thf(f29067,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_288
    | ~ spl2_347
    | ~ spl2_525 ),
    inference(forward_subsumption_resolution,[],[f27929,f8338]) ).

thf(f29069,plain,
    ( spl2_284
    | ~ spl2_63
    | ~ spl2_383 ),
    inference(avatar_split_clause,[],[f28225,f12918,f981,f8323]) ).

thf(f29075,plain,
    ( spl2_255
    | ~ spl2_58
    | ~ spl2_383 ),
    inference(avatar_split_clause,[],[f28229,f12918,f964,f8028]) ).

thf(f29076,plain,
    ( ~ spl2_277
    | ~ spl2_24
    | ~ spl2_115
    | ~ spl2_262
    | ~ spl2_269 ),
    inference(avatar_split_clause,[],[f29028,f8159,f8092,f2504,f229,f8221]) ).

thf(f29079,plain,
    ( ~ spl2_277
    | ~ spl2_24
    | ~ spl2_115
    | ~ spl2_315
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f29034,f13812,f10202,f2504,f229,f8221]) ).

thf(f29092,plain,
    ( ~ spl2_21
    | ~ spl2_82
    | spl2_116
    | ~ spl2_525 ),
    inference(avatar_split_clause,[],[f29061,f18677,f2543,f1224,f207]) ).

thf(f29093,plain,
    ( ~ spl2_277
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f29065,f10956,f2504,f1058,f229,f8221]) ).

thf(f29095,plain,
    ( spl2_247
    | ~ spl2_288
    | ~ spl2_347
    | ~ spl2_525 ),
    inference(avatar_split_clause,[],[f29067,f18677,f10956,f8337,f7984]) ).

thf(f29139,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_26
    | ~ spl2_120 ),
    inference(constrained_superposition,[],[f5365,f26687]) ).

thf(f29142,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_26
    | ~ spl2_120 ),
    inference(trivial_inequality_removal,[],[f29139]) ).

thf(f29144,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_26
    | ~ spl2_120 ),
    inference(forward_subsumption_resolution,[],[f29142,f41]) ).

thf(f29145,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_26
    | spl2_39
    | ~ spl2_120 ),
    inference(forward_subsumption_resolution,[],[f29144,f1472]) ).

thf(f29146,plain,
    ( spl2_27
    | spl2_26
    | spl2_39
    | ~ spl2_120 ),
    inference(avatar_split_clause,[],[f29145,f2568,f385,f244,f247]) ).

thf(f29147,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ~ spl2_21
    | ~ spl2_118 ),
    inference(constrained_superposition,[],[f2554,f9421]) ).

thf(f29174,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_21
    | ~ spl2_118 ),
    inference(trivial_inequality_removal,[],[f29147]) ).

thf(f29190,plain,
    ( $false
    | ~ spl2_21
    | spl2_39
    | ~ spl2_118 ),
    inference(forward_subsumption_resolution,[],[f29174,f1472]) ).

thf(f29191,plain,
    ( ~ spl2_21
    | spl2_39
    | ~ spl2_118 ),
    inference(avatar_contradiction_clause,[],[f29190]) ).

thf(f29325,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_266
    | ~ spl2_428 ),
    inference(constrained_superposition,[],[f13705,f8107]) ).

thf(f29329,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_428 ),
    inference(constrained_superposition,[],[f13705,f50]) ).

thf(f29333,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_428 ),
    inference(trivial_inequality_removal,[],[f29329]) ).

thf(f29334,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_266
    | ~ spl2_428 ),
    inference(trivial_inequality_removal,[],[f29325]) ).

thf(f29341,plain,
    ( $false
    | ~ spl2_115
    | ~ spl2_266
    | ~ spl2_428 ),
    inference(forward_subsumption_resolution,[],[f29334,f8168]) ).

thf(f29342,plain,
    ( ~ spl2_115
    | ~ spl2_266
    | ~ spl2_428 ),
    inference(avatar_contradiction_clause,[],[f29341]) ).

thf(f29344,plain,
    ( spl2_255
    | ~ spl2_8
    | ~ spl2_428 ),
    inference(avatar_split_clause,[],[f29333,f13704,f111,f8028]) ).

thf(f29375,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_95 ),
    inference(constrained_superposition,[],[f1494,f1059]) ).

thf(f29386,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_95 ),
    inference(trivial_inequality_removal,[],[f29375]) ).

thf(f29391,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_21
    | ~ spl2_76
    | ~ spl2_95 ),
    inference(forward_subsumption_resolution,[],[f29386,f9421]) ).

thf(f29392,plain,
    ( $false
    | ~ spl2_21
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_95 ),
    inference(forward_subsumption_resolution,[],[f29391,f230]) ).

thf(f29393,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_95 ),
    inference(avatar_contradiction_clause,[],[f29392]) ).

thf(f29396,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f30,f1046]) ).

thf(f29397,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f29396]) ).

thf(f29615,plain,
    ( spl2_23
    | spl2_115
    | ~ spl2_4
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f27107,f8175,f98,f2504,f226]) ).

thf(f29618,definition,
    ( spl2_597
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_597])],[avatar_definition]) ).

thf(f29619,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_597 ),
    inference(avatar_component_clause,[],[f29618]) ).

thf(f29635,plain,
    ( ~ spl2_33
    | spl2_278
    | ~ spl2_8
    | ~ spl2_110 ),
    inference(avatar_split_clause,[],[f27858,f2470,f111,f8232,f317]) ).

thf(f29665,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_49 ),
    inference(constrained_superposition,[],[f517,f82]) ).

thf(f29668,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_49 ),
    inference(trivial_inequality_removal,[],[f29665]) ).

thf(f29715,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_48
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f514,f1520]) ).

thf(f29724,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_48
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f29715]) ).

thf(f29725,plain,
    ( spl2_574
    | ~ spl2_48
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f29724,f1519,f513,f24737]) ).

thf(f29892,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_261
    | ~ spl2_589 ),
    inference(constrained_superposition,[],[f28003,f8090]) ).

thf(f29900,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_261
    | ~ spl2_589 ),
    inference(trivial_inequality_removal,[],[f29892]) ).

thf(f29925,plain,
    ( $false
    | ~ spl2_261
    | ~ spl2_285
    | ~ spl2_589 ),
    inference(forward_subsumption_resolution,[],[f29900,f8328]) ).

thf(f29926,plain,
    ( ~ spl2_261
    | ~ spl2_285
    | ~ spl2_589 ),
    inference(avatar_contradiction_clause,[],[f29925]) ).

thf(f29939,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_56
    | spl2_286 ),
    inference(constrained_superposition,[],[f8332,f867]) ).

thf(f29944,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_56
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f29939]) ).

thf(f30026,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_261
    | ~ spl2_588 ),
    inference(constrained_superposition,[],[f27998,f8090]) ).

thf(f30040,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_261
    | ~ spl2_588 ),
    inference(trivial_inequality_removal,[],[f30026]) ).

thf(f30043,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_261
    | ~ spl2_588 ),
    inference(constrained_superposition,[],[f30040,f171]) ).

thf(f30048,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_261
    | ~ spl2_588 ),
    inference(trivial_inequality_removal,[],[f30043]) ).

thf(f30051,plain,
    ( spl2_269
    | ~ spl2_261
    | ~ spl2_588 ),
    inference(avatar_split_clause,[],[f30048,f27997,f8089,f8159]) ).

thf(f30053,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f5897,f10198]) ).

thf(f30056,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f30053]) ).

thf(f30091,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_496 ),
    inference(constrained_superposition,[],[f16669,f81]) ).

thf(f30103,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_496 ),
    inference(trivial_inequality_removal,[],[f30091]) ).

thf(f30110,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_399
    | ~ spl2_496 ),
    inference(forward_subsumption_resolution,[],[f30103,f14795]) ).

thf(f30115,plain,
    ( spl2_400
    | spl2_550
    | ~ spl2_4
    | ~ spl2_314 ),
    inference(avatar_split_clause,[],[f30056,f10197,f98,f20469,f13088]) ).

thf(f30127,plain,
    ( spl2_292
    | spl2_255
    | ~ spl2_56
    | spl2_286 ),
    inference(avatar_split_clause,[],[f29944,f8331,f866,f8028,f8422]) ).

thf(f30130,plain,
    ( ~ spl2_21
    | spl2_399
    | ~ spl2_496 ),
    inference(avatar_split_clause,[],[f30110,f16668,f13084,f207]) ).

thf(f30173,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_67
    | ~ spl2_419 ),
    inference(constrained_superposition,[],[f13611,f995]) ).

thf(f30175,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_67
    | ~ spl2_419 ),
    inference(trivial_inequality_removal,[],[f30173]) ).

thf(f30178,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_68
    | ~ spl2_419 ),
    inference(forward_subsumption_resolution,[],[f30175,f999]) ).

thf(f30179,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | ~ spl2_419 ),
    inference(avatar_contradiction_clause,[],[f30178]) ).

thf(f30187,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f5897,f7985]) ).

thf(f30189,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f30,f7985]) ).

thf(f30190,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) ) )
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f30189]) ).

thf(f30191,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_247 ),
    inference(duplicate_literal_removal,[],[f30187]) ).

thf(f30192,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f30191]) ).

thf(f30194,plain,
    ( spl2_115
    | spl2_23
    | ~ spl2_4
    | ~ spl2_247 ),
    inference(avatar_split_clause,[],[f30192,f7984,f98,f226,f2504]) ).

thf(f30208,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_505 ),
    inference(constrained_superposition,[],[f17441,f82]) ).

thf(f30214,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_505 ),
    inference(trivial_inequality_removal,[],[f30208]) ).

thf(f30224,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_255 ),
    inference(constrained_superposition,[],[f5897,f8029]) ).

thf(f30229,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_255 ),
    inference(duplicate_literal_removal,[],[f30224]) ).

thf(f30230,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_255 ),
    inference(trivial_inequality_removal,[],[f30229]) ).

thf(f30232,plain,
    ( spl2_289
    | spl2_23
    | ~ spl2_4
    | ~ spl2_255 ),
    inference(avatar_split_clause,[],[f30230,f8028,f98,f226,f8341]) ).

thf(f30241,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f841,f8168]) ).

thf(f30242,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f58,f8168]) ).

thf(f30243,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f31,f8168]) ).

thf(f30253,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f30243]) ).

thf(f30258,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f30241]) ).

thf(f30262,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true ) )
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f30242]) ).

thf(f30288,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5105,f82]) ).

thf(f30293,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f30288]) ).

thf(f30311,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_110
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f2471,f8338]) ).

thf(f30343,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_110
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f30311]) ).

thf(f30401,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_196
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f5094,f11147]) ).

thf(f30405,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_196
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f30401]) ).

thf(f30471,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( sK1 = X0 ) )
    | ~ spl2_120 ),
    inference(constrained_superposition,[],[f2569,f27]) ).

thf(f30475,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( sK1 = X0 ) )
    | ~ spl2_120 ),
    inference(trivial_inequality_removal,[],[f30471]) ).

thf(f30603,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_392 ),
    inference(constrained_superposition,[],[f529,f13043]) ).

thf(f30610,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_392 ),
    inference(trivial_inequality_removal,[],[f30603]) ).

thf(f30613,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_86
    | ~ spl2_392 ),
    inference(forward_subsumption_resolution,[],[f30610,f1276]) ).

thf(f30614,plain,
    ( spl2_433
    | spl2_440
    | ~ spl2_86
    | ~ spl2_392 ),
    inference(avatar_split_clause,[],[f30613,f13042,f1275,f14157,f13812]) ).

thf(f30632,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_110
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f2471,f10195]) ).

thf(f30637,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_313
    | ~ spl2_496 ),
    inference(constrained_superposition,[],[f16669,f10195]) ).

thf(f30656,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_313
    | ~ spl2_496 ),
    inference(trivial_inequality_removal,[],[f30637]) ).

thf(f30668,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_110
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f30632]) ).

thf(f30674,plain,
    ( $false
    | ~ spl2_288
    | ~ spl2_313
    | ~ spl2_496 ),
    inference(forward_subsumption_resolution,[],[f30656,f8338]) ).

thf(f30675,plain,
    ( ~ spl2_288
    | ~ spl2_313
    | ~ spl2_496 ),
    inference(avatar_contradiction_clause,[],[f30674]) ).

thf(f30679,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_110
    | ~ spl2_313
    | ~ spl2_400 ),
    inference(forward_subsumption_resolution,[],[f30668,f13089]) ).

thf(f30681,plain,
    ( $false
    | ~ spl2_110
    | ~ spl2_313
    | ~ spl2_400
    | ~ spl2_411 ),
    inference(forward_subsumption_resolution,[],[f30679,f13225]) ).

thf(f30682,plain,
    ( ~ spl2_110
    | ~ spl2_313
    | ~ spl2_400
    | ~ spl2_411 ),
    inference(avatar_contradiction_clause,[],[f30681]) ).

thf(f30710,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_278
    | ~ spl2_419 ),
    inference(constrained_superposition,[],[f13611,f8233]) ).

thf(f30716,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_278
    | ~ spl2_419 ),
    inference(trivial_inequality_removal,[],[f30710]) ).

thf(f30718,plain,
    ( $false
    | ~ spl2_247
    | ~ spl2_278
    | ~ spl2_419 ),
    inference(forward_subsumption_resolution,[],[f30716,f7985]) ).

thf(f30719,plain,
    ( ~ spl2_247
    | ~ spl2_278
    | ~ spl2_419 ),
    inference(avatar_contradiction_clause,[],[f30718]) ).

thf(f30861,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f953,f10203]) ).

thf(f30886,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f30861]) ).

thf(f30895,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_315
    | spl2_349 ),
    inference(forward_subsumption_resolution,[],[f30886,f18144]) ).

thf(f30896,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_315
    | spl2_349
    | ~ spl2_437 ),
    inference(forward_subsumption_resolution,[],[f30895,f17686]) ).

thf(f30897,plain,
    ( spl2_494
    | ~ spl2_315
    | spl2_349
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f30896,f13998,f10983,f10202,f16616]) ).

thf(f30932,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_386 ),
    inference(constrained_superposition,[],[f12930,f50]) ).

thf(f30938,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_386 ),
    inference(trivial_inequality_removal,[],[f30932]) ).

thf(f30942,plain,
    ( ~ spl2_16
    | spl2_255
    | ~ spl2_386 ),
    inference(avatar_split_clause,[],[f30938,f12929,f8028,f190]) ).

thf(f31006,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_124
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f2992,f17686]) ).

thf(f31011,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_124
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f31006]) ).

thf(f31107,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_317
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f10210,f17686]) ).

thf(f31114,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_317
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f31107]) ).

thf(f31224,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_106
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f30190,f2449]) ).

thf(f31235,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_106
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f31224]) ).

thf(f31241,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_524 ),
    inference(constrained_superposition,[],[f18674,f50]) ).

thf(f31246,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_524 ),
    inference(trivial_inequality_removal,[],[f31241]) ).

thf(f31251,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | spl2_68
    | ~ spl2_524 ),
    inference(forward_subsumption_resolution,[],[f31246,f1190]) ).

thf(f31258,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | spl2_68
    | ~ spl2_437
    | ~ spl2_524 ),
    inference(constrained_superposition,[],[f31251,f17686]) ).

thf(f31267,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | spl2_68
    | ~ spl2_437
    | ~ spl2_524 ),
    inference(trivial_inequality_removal,[],[f31258]) ).

thf(f31273,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(constrained_superposition,[],[f18966,f8176]) ).

thf(f31279,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(duplicate_literal_removal,[],[f31273]) ).

thf(f31280,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(trivial_inequality_removal,[],[f31279]) ).

thf(f31288,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_67
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(constrained_superposition,[],[f31280,f995]) ).

thf(f31292,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(constrained_superposition,[],[f31280,f171]) ).

thf(f31295,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(trivial_inequality_removal,[],[f31292]) ).

thf(f31296,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_67
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(trivial_inequality_removal,[],[f31288]) ).

thf(f31302,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_26
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(forward_subsumption_resolution,[],[f31295,f245]) ).

thf(f31303,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(forward_subsumption_resolution,[],[f31296,f99]) ).

thf(f31304,plain,
    ( ~ spl2_4
    | ~ spl2_67
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(avatar_contradiction_clause,[],[f31303]) ).

thf(f31305,plain,
    ( $false
    | ~ spl2_26
    | spl2_76
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(forward_subsumption_resolution,[],[f31302,f1631]) ).

thf(f31306,plain,
    ( ~ spl2_26
    | spl2_76
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(avatar_contradiction_clause,[],[f31305]) ).

thf(f31312,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_339 ),
    inference(constrained_superposition,[],[f10814,f8090]) ).

thf(f31314,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_339 ),
    inference(trivial_inequality_removal,[],[f31312]) ).

thf(f31322,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_261
    | ~ spl2_273
    | ~ spl2_339 ),
    inference(forward_subsumption_resolution,[],[f31314,f8176]) ).

thf(f31325,plain,
    ( spl2_588
    | ~ spl2_261
    | ~ spl2_273
    | ~ spl2_339 ),
    inference(avatar_split_clause,[],[f31322,f10813,f8175,f8089,f27997]) ).

thf(f31327,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_278
    | ~ spl2_350 ),
    inference(constrained_superposition,[],[f11009,f8233]) ).

thf(f31335,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_278
    | ~ spl2_350 ),
    inference(trivial_inequality_removal,[],[f31327]) ).

thf(f31344,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_278
    | ~ spl2_350 ),
    inference(forward_subsumption_resolution,[],[f31335,f99]) ).

thf(f31348,plain,
    ( spl2_103
    | ~ spl2_4
    | ~ spl2_278
    | ~ spl2_350 ),
    inference(avatar_split_clause,[],[f31344,f11008,f8232,f98,f2147]) ).

thf(f31349,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_393
    | ~ spl2_409 ),
    inference(constrained_superposition,[],[f13210,f13048]) ).

thf(f31358,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_393
    | ~ spl2_409 ),
    inference(trivial_inequality_removal,[],[f31349]) ).

thf(f31365,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_4
    | ~ spl2_393
    | ~ spl2_409 ),
    inference(forward_subsumption_resolution,[],[f31358,f99]) ).

thf(f31366,plain,
    ( spl2_456
    | ~ spl2_4
    | ~ spl2_393
    | ~ spl2_409 ),
    inference(avatar_split_clause,[],[f31365,f13209,f13047,f98,f14791]) ).

thf(f31367,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f29397,f995]) ).

thf(f31370,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_73
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f29397,f1520]) ).

thf(f31371,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f29397,f171]) ).

thf(f31373,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f31371]) ).

thf(f31376,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f31367]) ).

thf(f31377,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f31370]) ).

thf(f31380,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(forward_subsumption_resolution,[],[f31376,f99]) ).

thf(f31381,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f31377,f245]) ).

thf(f31383,plain,
    ( spl2_216
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f31381,f1519,f1045,f244,f5331]) ).

thf(f31385,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f31380,f82]) ).

thf(f31394,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f31385]) ).

thf(f31424,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f31394,f171]) ).

thf(f31470,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f31424]) ).

thf(f31525,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_435 ),
    inference(constrained_superposition,[],[f13990,f51]) ).

thf(f31529,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_435 ),
    inference(trivial_inequality_removal,[],[f31525]) ).

thf(f31588,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_120 ),
    inference(constrained_superposition,[],[f5897,f30475]) ).

thf(f31597,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_120 ),
    inference(duplicate_literal_removal,[],[f31588]) ).

thf(f31598,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_4
    | ~ spl2_120 ),
    inference(trivial_inequality_removal,[],[f31597]) ).

thf(f31603,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ X0 ) )
          = sK1 )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) ) )
    | ~ spl2_4
    | ~ spl2_120
    | ~ spl2_505 ),
    inference(forward_subsumption_resolution,[],[f31598,f30214]) ).

thf(f31607,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ X0 ) )
          = ( sK0 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_4
    | ~ spl2_120
    | ~ spl2_505 ),
    inference(forward_subsumption_resolution,[],[f31603,f41]) ).

thf(f31610,plain,
    ( spl2_573
    | spl2_23
    | ~ spl2_4
    | ~ spl2_120
    | ~ spl2_505 ),
    inference(avatar_split_clause,[],[f31607,f17440,f2568,f98,f226,f24732]) ).

thf(f31638,definition,
    ( spl2_598
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_598])],[avatar_definition]) ).

thf(f31639,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_598 ),
    inference(avatar_component_clause,[],[f31638]) ).

thf(f31641,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_292
    | ~ spl2_369 ),
    inference(constrained_superposition,[],[f11865,f8423]) ).

thf(f31648,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_292
    | ~ spl2_369 ),
    inference(trivial_inequality_removal,[],[f31641]) ).

thf(f31656,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_67
    | ~ spl2_292
    | ~ spl2_369 ),
    inference(forward_subsumption_resolution,[],[f31648,f995]) ).

thf(f31657,plain,
    ( spl2_456
    | ~ spl2_67
    | ~ spl2_292
    | ~ spl2_369 ),
    inference(avatar_split_clause,[],[f31656,f11864,f8422,f994,f14791]) ).

thf(f31658,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_393
    | ~ spl2_398 ),
    inference(constrained_superposition,[],[f13082,f13048]) ).

thf(f31670,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_393
    | ~ spl2_398 ),
    inference(duplicate_literal_removal,[],[f31658]) ).

thf(f31671,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_393
    | ~ spl2_398 ),
    inference(trivial_inequality_removal,[],[f31670]) ).

thf(f31673,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_295 ),
    inference(avatar_component_clause,[],[f8434]) ).

thf(f31675,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_67
    | ~ spl2_393
    | ~ spl2_398 ),
    inference(forward_subsumption_resolution,[],[f31671,f995]) ).

thf(f31676,plain,
    ( spl2_555
    | ~ spl2_67
    | ~ spl2_393
    | ~ spl2_398 ),
    inference(avatar_split_clause,[],[f31675,f13081,f13047,f994,f21015]) ).

thf(f31677,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true != $true )
    | spl2_295 ),
    inference(constrained_superposition,[],[f31673,f83]) ).

thf(f31680,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_295 ),
    inference(trivial_inequality_removal,[],[f31677]) ).

thf(f31682,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_72
    | spl2_295 ),
    inference(forward_subsumption_resolution,[],[f31680,f7885]) ).

thf(f31683,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | spl2_72
    | spl2_295
    | ~ spl2_317 ),
    inference(constrained_superposition,[],[f10210,f31682]) ).

thf(f31684,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | spl2_68
    | spl2_72
    | spl2_295
    | ~ spl2_524 ),
    inference(constrained_superposition,[],[f31251,f31682]) ).

thf(f31685,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | spl2_72
    | ~ spl2_124
    | spl2_295 ),
    inference(constrained_superposition,[],[f2992,f31682]) ).

thf(f31706,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | spl2_72
    | spl2_295
    | ~ spl2_317 ),
    inference(trivial_inequality_removal,[],[f31683]) ).

thf(f31708,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | spl2_68
    | spl2_72
    | spl2_295
    | ~ spl2_524 ),
    inference(trivial_inequality_removal,[],[f31684]) ).

thf(f31717,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | spl2_72
    | ~ spl2_124
    | spl2_295 ),
    inference(trivial_inequality_removal,[],[f31685]) ).

thf(f31738,definition,
    ( spl2_599
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_599])],[avatar_definition]) ).

thf(f31739,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_599 ),
    inference(avatar_component_clause,[],[f31738]) ).

thf(f31767,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_255 ),
    inference(constrained_superposition,[],[f30,f8029]) ).

thf(f31772,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) ) )
    | ~ spl2_255 ),
    inference(trivial_inequality_removal,[],[f31767]) ).

thf(f31785,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_266
    | ~ spl2_520 ),
    inference(constrained_superposition,[],[f18224,f8107]) ).

thf(f31817,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_266
    | ~ spl2_520 ),
    inference(trivial_inequality_removal,[],[f31785]) ).

thf(f31829,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | spl2_72
    | ~ spl2_266
    | spl2_295
    | ~ spl2_520 ),
    inference(forward_subsumption_resolution,[],[f31817,f31682]) ).

thf(f31831,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_72
    | ~ spl2_266
    | spl2_295
    | ~ spl2_520 ),
    inference(constrained_superposition,[],[f31829,f722]) ).

thf(f31836,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_72
    | ~ spl2_266
    | spl2_295
    | ~ spl2_520 ),
    inference(trivial_inequality_removal,[],[f31831]) ).

thf(f31840,plain,
    ( spl2_254
    | spl2_72
    | ~ spl2_266
    | spl2_295
    | ~ spl2_520 ),
    inference(avatar_split_clause,[],[f31836,f18223,f8434,f8106,f1042,f8025]) ).

thf(f31862,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_255
    | ~ spl2_260 ),
    inference(constrained_superposition,[],[f31772,f8086]) ).

thf(f31863,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_261 ),
    inference(constrained_superposition,[],[f31772,f8090]) ).

thf(f31868,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_261 ),
    inference(trivial_inequality_removal,[],[f31863]) ).

thf(f31871,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_260 ),
    inference(trivial_inequality_removal,[],[f31862]) ).

thf(f31872,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_247
    | ~ spl2_255
    | ~ spl2_261 ),
    inference(forward_subsumption_resolution,[],[f31868,f7985]) ).

thf(f31873,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_260
    | ~ spl2_389 ),
    inference(forward_subsumption_resolution,[],[f31871,f13030]) ).

thf(f31874,plain,
    ( spl2_274
    | ~ spl2_247
    | ~ spl2_255
    | ~ spl2_261 ),
    inference(avatar_split_clause,[],[f31872,f8089,f8028,f7984,f8206]) ).

thf(f31875,plain,
    ( spl2_410
    | ~ spl2_255
    | ~ spl2_260
    | ~ spl2_389 ),
    inference(avatar_split_clause,[],[f31873,f13029,f8085,f8028,f13220]) ).

thf(f31903,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_262 ),
    inference(constrained_superposition,[],[f953,f8093]) ).

thf(f31930,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_262 ),
    inference(trivial_inequality_removal,[],[f31903]) ).

thf(f31941,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | spl2_72
    | ~ spl2_262
    | spl2_295 ),
    inference(forward_subsumption_resolution,[],[f31930,f31682]) ).

thf(f31942,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | spl2_72
    | ~ spl2_262
    | spl2_295
    | spl2_349 ),
    inference(forward_subsumption_resolution,[],[f31941,f18144]) ).

thf(f31943,plain,
    ( spl2_383
    | spl2_72
    | ~ spl2_262
    | spl2_295
    | spl2_349 ),
    inference(avatar_split_clause,[],[f31942,f10983,f8434,f8092,f1042,f12918]) ).

thf(f31973,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f953,f8083]) ).

thf(f31989,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f31973]) ).

thf(f32011,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | spl2_72
    | ~ spl2_259
    | spl2_295 ),
    inference(forward_subsumption_resolution,[],[f31989,f31682]) ).

thf(f32012,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | spl2_72
    | ~ spl2_259
    | spl2_295
    | spl2_395 ),
    inference(forward_subsumption_resolution,[],[f32011,f17671]) ).

thf(f32013,plain,
    ( spl2_383
    | spl2_72
    | ~ spl2_259
    | spl2_295
    | spl2_395 ),
    inference(avatar_split_clause,[],[f32012,f13054,f8434,f8082,f1042,f12918]) ).

thf(f32032,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_393
    | ~ spl2_408 ),
    inference(constrained_superposition,[],[f13185,f13048]) ).

thf(f32044,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_393
    | ~ spl2_408 ),
    inference(trivial_inequality_removal,[],[f32032]) ).

thf(f32049,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_4
    | ~ spl2_393
    | ~ spl2_408 ),
    inference(forward_subsumption_resolution,[],[f32044,f99]) ).

thf(f32050,plain,
    ( spl2_104
    | ~ spl2_4
    | ~ spl2_393
    | ~ spl2_408 ),
    inference(avatar_split_clause,[],[f32049,f13184,f13047,f98,f2266]) ).

thf(f32051,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f30253,f18151]) ).

thf(f32057,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f30253,f81]) ).

thf(f32058,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f30253,f50]) ).

thf(f32061,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f32058]) ).

thf(f32064,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f32051]) ).

thf(f32070,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f32057]) ).

thf(f32075,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_313
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f32064,f10195]) ).

thf(f32076,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_266
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f32064,f8107]) ).

thf(f32078,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_288
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f32064,f8338]) ).

thf(f32080,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f32064,f51]) ).

thf(f32081,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f32080]) ).

thf(f32085,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_288
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f32078]) ).

thf(f32087,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_313
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f32075]) ).

thf(f32089,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_266
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f32076]) ).

thf(f32090,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_313
    | ~ spl2_347
    | ~ spl2_400 ),
    inference(forward_subsumption_resolution,[],[f32087,f13089]) ).

thf(f32091,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | spl2_72
    | ~ spl2_115
    | ~ spl2_266
    | spl2_295
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f32089,f31682]) ).

thf(f32092,plain,
    ( $false
    | ~ spl2_115
    | ~ spl2_313
    | ~ spl2_347
    | ~ spl2_400
    | ~ spl2_437 ),
    inference(forward_subsumption_resolution,[],[f32090,f17686]) ).

thf(f32093,plain,
    ( ~ spl2_115
    | ~ spl2_313
    | ~ spl2_347
    | ~ spl2_400
    | ~ spl2_437 ),
    inference(avatar_contradiction_clause,[],[f32092]) ).

thf(f32094,plain,
    ( $false
    | spl2_72
    | ~ spl2_115
    | ~ spl2_266
    | ~ spl2_289
    | spl2_295
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f32091,f8342]) ).

thf(f32095,plain,
    ( spl2_72
    | ~ spl2_115
    | ~ spl2_266
    | ~ spl2_289
    | spl2_295
    | ~ spl2_347 ),
    inference(avatar_contradiction_clause,[],[f32094]) ).

thf(f32101,definition,
    ( spl2_601
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_601])],[avatar_definition]) ).

thf(f32102,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_601 ),
    inference(avatar_component_clause,[],[f32101]) ).

thf(f32103,plain,
    ( spl2_601
    | spl2_273
    | ~ spl2_115 ),
    inference(avatar_split_clause,[],[f32070,f2504,f8175,f32101]) ).

thf(f32109,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | spl2_433 ),
    inference(avatar_component_clause,[],[f13812]) ).

thf(f32110,plain,
    ( ~ spl2_433
    | ~ spl2_473
    | spl2_68
    | ~ spl2_437
    | ~ spl2_524 ),
    inference(avatar_split_clause,[],[f31267,f18673,f13998,f998,f15705,f13812]) ).

thf(f32111,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ~ spl2_124
    | ~ spl2_400
    | ~ spl2_437 ),
    inference(forward_subsumption_resolution,[],[f31011,f13089]) ).

thf(f32112,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_269 ),
    inference(avatar_component_clause,[],[f8159]) ).

thf(f32113,plain,
    ( ~ spl2_269
    | ~ spl2_297
    | spl2_68
    | spl2_72
    | spl2_295
    | ~ spl2_524 ),
    inference(avatar_split_clause,[],[f31708,f18673,f8434,f1042,f998,f8444,f8159]) ).

thf(f32116,plain,
    ( spl2_94
    | ~ spl2_39
    | ~ spl2_106
    | ~ spl2_247 ),
    inference(avatar_split_clause,[],[f31235,f7984,f2448,f385,f1474]) ).

thf(f32117,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_110
    | ~ spl2_288 ),
    inference(forward_subsumption_resolution,[],[f30343,f230]) ).

thf(f32122,plain,
    ( ~ spl2_297
    | ~ spl2_289
    | spl2_72
    | ~ spl2_124
    | spl2_295 ),
    inference(avatar_split_clause,[],[f31717,f8434,f2991,f1042,f8341,f8444]) ).

thf(f32126,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_317
    | ~ spl2_400
    | ~ spl2_437 ),
    inference(forward_subsumption_resolution,[],[f31114,f13089]) ).

thf(f32128,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_115
    | ~ spl2_288
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f32085,f230]) ).

thf(f32131,plain,
    ( spl2_255
    | ~ spl2_289
    | spl2_72
    | spl2_295
    | ~ spl2_317 ),
    inference(avatar_split_clause,[],[f31706,f10209,f8434,f1042,f8341,f8028]) ).

thf(f32135,plain,
    ( ~ spl2_473
    | ~ spl2_124
    | ~ spl2_400
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f32111,f13998,f13088,f2991,f15705]) ).

thf(f32138,plain,
    ( ~ spl2_29
    | ~ spl2_24
    | ~ spl2_110
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f32117,f8337,f2470,f229,f287]) ).

thf(f32141,plain,
    ( spl2_389
    | ~ spl2_317
    | ~ spl2_400
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f32126,f13998,f13088,f10209,f13029]) ).

thf(f32142,plain,
    ( ~ spl2_76
    | ~ spl2_24
    | ~ spl2_115
    | ~ spl2_288
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f32128,f10956,f8337,f2504,f229,f1058]) ).

thf(f32174,plain,
    ( ( $true != $true )
    | ( $true != $true )
    | ~ spl2_109
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5105,f2467]) ).

thf(f32184,plain,
    ( ( $true != $true )
    | ~ spl2_109
    | ~ spl2_198 ),
    inference(duplicate_literal_removal,[],[f32174]) ).

thf(f32185,plain,
    ( $false
    | ~ spl2_109
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f32184]) ).

thf(f32186,plain,
    ( ~ spl2_109
    | ~ spl2_198 ),
    inference(avatar_contradiction_clause,[],[f32185]) ).

thf(f32246,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_198
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f30293,f8324]) ).

thf(f32248,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f31394,f8324]) ).

thf(f32252,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_198
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f32246]) ).

thf(f32253,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f32248]) ).

thf(f32259,plain,
    ( spl2_289
    | ~ spl2_198
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f32252,f8323,f5104,f8341]) ).

thf(f32260,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_284 ),
    inference(forward_subsumption_resolution,[],[f32253,f99]) ).

thf(f32263,plain,
    ( spl2_289
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f32260,f8323,f1045,f994,f98,f8341]) ).

thf(f32428,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_433 ),
    inference(constrained_superposition,[],[f32109,f52]) ).

thf(f32429,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | spl2_433 ),
    inference(constrained_superposition,[],[f32109,f27]) ).

thf(f32430,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_433 ),
    inference(trivial_inequality_removal,[],[f32428]) ).

thf(f32431,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | spl2_433 ),
    inference(trivial_inequality_removal,[],[f32429]) ).

thf(f32432,plain,
    ( spl2_463
    | spl2_253
    | spl2_433 ),
    inference(avatar_split_clause,[],[f32430,f13812,f8022,f15157]) ).

thf(f32433,plain,
    ( spl2_406
    | spl2_463
    | spl2_433 ),
    inference(avatar_split_clause,[],[f32431,f13812,f15157,f13159]) ).

thf(f32448,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_61 ),
    inference(constrained_superposition,[],[f975,f722]) ).

thf(f32457,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl2_61 ),
    inference(trivial_inequality_removal,[],[f32448]) ).

thf(f32505,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_265 ),
    inference(constrained_superposition,[],[f30190,f8104]) ).

thf(f32515,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_265 ),
    inference(trivial_inequality_removal,[],[f32505]) ).

thf(f32522,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | spl2_255 ),
    inference(avatar_component_clause,[],[f8028]) ).

thf(f32523,plain,
    ( ~ spl2_255
    | spl2_302
    | ~ spl2_247
    | ~ spl2_265 ),
    inference(avatar_split_clause,[],[f32515,f8103,f7984,f8846,f8028]) ).

thf(f32562,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_247
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f30190,f10198]) ).

thf(f32574,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f32562]) ).

thf(f32610,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_268
    | ~ spl2_274 ),
    inference(constrained_superposition,[],[f8207,f11147]) ).

thf(f32615,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_247
    | ~ spl2_274 ),
    inference(constrained_superposition,[],[f8207,f7985]) ).

thf(f32621,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_274 ),
    inference(trivial_inequality_removal,[],[f32610]) ).

thf(f32625,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_274 ),
    inference(trivial_inequality_removal,[],[f32615]) ).

thf(f32630,plain,
    ( spl2_43
    | ~ spl2_268
    | ~ spl2_274 ),
    inference(avatar_split_clause,[],[f32621,f8206,f8156,f484]) ).

thf(f32631,plain,
    ( spl2_419
    | ~ spl2_247
    | ~ spl2_274 ),
    inference(avatar_split_clause,[],[f32625,f8206,f7984,f13610]) ).

thf(f32655,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_263 ),
    inference(constrained_superposition,[],[f953,f8097]) ).

thf(f32688,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_263 ),
    inference(trivial_inequality_removal,[],[f32655]) ).

thf(f32695,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_263
    | spl2_295 ),
    inference(forward_subsumption_resolution,[],[f32688,f31673]) ).

thf(f32699,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_263
    | spl2_295
    | ~ spl2_437 ),
    inference(forward_subsumption_resolution,[],[f32695,f17686]) ).

thf(f32706,plain,
    ( spl2_494
    | ~ spl2_263
    | spl2_295
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f32699,f13998,f8434,f8096,f16616]) ).

thf(f32739,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ~ spl2_494 ),
    inference(constrained_superposition,[],[f16617,f50]) ).

thf(f32748,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_494 ),
    inference(trivial_inequality_removal,[],[f32739]) ).

thf(f32753,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_601 ),
    inference(constrained_superposition,[],[f32102,f722]) ).

thf(f32764,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_601 ),
    inference(trivial_inequality_removal,[],[f32753]) ).

thf(f32784,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | spl2_72
    | spl2_295
    | ~ spl2_525 ),
    inference(constrained_superposition,[],[f18678,f31682]) ).

thf(f32788,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_72
    | spl2_295
    | ~ spl2_525 ),
    inference(trivial_inequality_removal,[],[f32784]) ).

thf(f32795,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_72
    | spl2_255
    | spl2_295
    | ~ spl2_525 ),
    inference(forward_subsumption_resolution,[],[f32788,f32522]) ).

thf(f32796,plain,
    ( $false
    | spl2_72
    | spl2_255
    | ~ spl2_269
    | spl2_295
    | ~ spl2_525 ),
    inference(forward_subsumption_resolution,[],[f32795,f8160]) ).

thf(f32797,plain,
    ( spl2_72
    | spl2_255
    | ~ spl2_269
    | spl2_295
    | ~ spl2_525 ),
    inference(avatar_contradiction_clause,[],[f32796]) ).

thf(f32923,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_61
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f32457,f8338]) ).

thf(f32927,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_61
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f32923]) ).

thf(f32931,plain,
    ( spl2_248
    | ~ spl2_61
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f32927,f8337,f974,f7987]) ).

thf(f32932,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_396
    | ~ spl2_442 ),
    inference(constrained_superposition,[],[f14373,f13059]) ).

thf(f32933,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_442 ),
    inference(constrained_superposition,[],[f14373,f10198]) ).

thf(f32937,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_399
    | ~ spl2_442 ),
    inference(constrained_superposition,[],[f14373,f13085]) ).

thf(f32942,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_442 ),
    inference(duplicate_literal_removal,[],[f32933]) ).

thf(f32943,plain,
    ( ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
       != $true )
    | ~ spl2_314
    | ~ spl2_442 ),
    inference(trivial_inequality_removal,[],[f32942]) ).

thf(f32946,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_396
    | ~ spl2_442 ),
    inference(trivial_inequality_removal,[],[f32932]) ).

thf(f32947,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_399
    | ~ spl2_442 ),
    inference(trivial_inequality_removal,[],[f32937]) ).

thf(f32953,plain,
    ( spl2_588
    | ~ spl2_396
    | ~ spl2_442 ),
    inference(avatar_split_clause,[],[f32946,f14372,f13058,f27997]) ).

thf(f32954,plain,
    ( spl2_589
    | ~ spl2_399
    | ~ spl2_442 ),
    inference(avatar_split_clause,[],[f32947,f14372,f13084,f28002]) ).

thf(f32958,plain,
    ( ( $true != $true )
    | ~ spl2_268
    | ~ spl2_314
    | ~ spl2_442 ),
    inference(constrained_superposition,[],[f32943,f11147]) ).

thf(f32977,plain,
    ( $false
    | ~ spl2_268
    | ~ spl2_314
    | ~ spl2_442 ),
    inference(trivial_inequality_removal,[],[f32958]) ).

thf(f32978,plain,
    ( ~ spl2_268
    | ~ spl2_314
    | ~ spl2_442 ),
    inference(avatar_contradiction_clause,[],[f32977]) ).

thf(f32982,plain,
    ( ~ spl2_58
    | spl2_389
    | ~ spl2_494 ),
    inference(avatar_split_clause,[],[f32748,f16616,f13029,f964]) ).

thf(f32988,plain,
    ( spl2_410
    | ~ spl2_389
    | ~ spl2_247
    | ~ spl2_314 ),
    inference(avatar_split_clause,[],[f32574,f10197,f7984,f13029,f13220]) ).

thf(f32998,plain,
    ( ~ spl2_58
    | ~ spl2_362
    | spl2_292
    | ~ spl2_435 ),
    inference(avatar_split_clause,[],[f31529,f13989,f8422,f11611,f964]) ).

thf(f33009,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_26
    | ~ spl2_73 ),
    inference(forward_subsumption_resolution,[],[f31373,f245]) ).

thf(f33013,definition,
    ( spl2_608
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_608])],[avatar_definition]) ).

thf(f33014,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_608 ),
    inference(avatar_component_clause,[],[f33013]) ).

thf(f33015,plain,
    ( spl2_247
    | spl2_608
    | ~ spl2_115 ),
    inference(avatar_split_clause,[],[f32061,f2504,f33013,f7984]) ).

thf(f33016,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | spl2_278 ),
    inference(avatar_component_clause,[],[f8232]) ).

thf(f33027,plain,
    ( spl2_216
    | spl2_76
    | ~ spl2_26
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f33009,f1045,f244,f1058,f5331]) ).

thf(f33050,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_68
    | ~ spl2_132 ),
    inference(constrained_superposition,[],[f3263,f999]) ).

thf(f33056,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_68
    | ~ spl2_132 ),
    inference(trivial_inequality_removal,[],[f33050]) ).

thf(f33061,plain,
    ( spl2_505
    | ~ spl2_68
    | ~ spl2_132 ),
    inference(avatar_split_clause,[],[f33056,f3262,f998,f17440]) ).

thf(f33140,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_273
    | ~ spl2_511 ),
    inference(constrained_superposition,[],[f17851,f8176]) ).

thf(f33145,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_511 ),
    inference(trivial_inequality_removal,[],[f33140]) ).

thf(f33196,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | spl2_289
    | ~ spl2_573 ),
    inference(constrained_superposition,[],[f14467,f24733]) ).

thf(f33201,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_289
    | ~ spl2_573 ),
    inference(trivial_inequality_removal,[],[f33196]) ).

thf(f33202,plain,
    ( spl2_253
    | spl2_289
    | ~ spl2_573 ),
    inference(avatar_split_clause,[],[f33201,f24732,f8341,f8022]) ).

thf(f33226,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_402 ),
    inference(constrained_superposition,[],[f31380,f13096]) ).

thf(f33232,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_402 ),
    inference(trivial_inequality_removal,[],[f33226]) ).

thf(f33235,plain,
    ( spl2_412
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_402 ),
    inference(avatar_split_clause,[],[f33232,f13095,f1045,f994,f98,f13230]) ).

thf(f33305,plain,
    ( ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_269 ),
    inference(constrained_superposition,[],[f32112,f52]) ).

thf(f33308,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_269 ),
    inference(trivial_inequality_removal,[],[f33305]) ).

thf(f33310,plain,
    ( spl2_300
    | spl2_245
    | spl2_269 ),
    inference(avatar_split_clause,[],[f33308,f8159,f7978,f8460]) ).

thf(f33324,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_68
    | ~ spl2_574 ),
    inference(constrained_superposition,[],[f24738,f999]) ).

thf(f33328,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_68
    | ~ spl2_574 ),
    inference(trivial_inequality_removal,[],[f33324]) ).

thf(f33483,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_75
    | ~ spl2_106 ),
    inference(constrained_superposition,[],[f1053,f2449]) ).

thf(f33494,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_75
    | ~ spl2_106 ),
    inference(trivial_inequality_removal,[],[f33483]) ).

thf(f33503,plain,
    ( spl2_276
    | ~ spl2_75
    | ~ spl2_106 ),
    inference(avatar_split_clause,[],[f33494,f2448,f1052,f8216]) ).

thf(f33547,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(constrained_superposition,[],[f16617,f10195]) ).

thf(f33573,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(trivial_inequality_removal,[],[f33547]) ).

thf(f33632,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(constrained_superposition,[],[f33573,f722]) ).

thf(f33634,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(constrained_superposition,[],[f33573,f52]) ).

thf(f33636,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(trivial_inequality_removal,[],[f33632]) ).

thf(f33638,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(trivial_inequality_removal,[],[f33634]) ).

thf(f33640,plain,
    ( spl2_248
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(avatar_split_clause,[],[f33636,f16616,f10194,f7987]) ).

thf(f33642,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_74
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(forward_subsumption_resolution,[],[f33638,f7923]) ).

thf(f33644,plain,
    ( spl2_248
    | spl2_74
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(avatar_split_clause,[],[f33642,f16616,f10194,f1048,f7987]) ).

thf(f33649,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_510 ),
    inference(constrained_superposition,[],[f17802,f8435]) ).

thf(f33661,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_510 ),
    inference(trivial_inequality_removal,[],[f33649]) ).

thf(f33664,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_295
    | ~ spl2_510 ),
    inference(forward_subsumption_resolution,[],[f33661,f995]) ).

thf(f33665,plain,
    ( ~ spl2_67
    | ~ spl2_295
    | ~ spl2_510 ),
    inference(avatar_contradiction_clause,[],[f33664]) ).

thf(f33670,plain,
    ( ~ spl2_116
    | ~ spl2_68
    | ~ spl2_574 ),
    inference(avatar_split_clause,[],[f33328,f24737,f998,f2543]) ).

thf(f33677,plain,
    ( spl2_198
    | ~ spl2_273
    | ~ spl2_511 ),
    inference(avatar_split_clause,[],[f33145,f17850,f8175,f5104]) ).

thf(f33702,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f31380,f2556]) ).

thf(f33707,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(duplicate_literal_removal,[],[f33702]) ).

thf(f33708,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f33707]) ).

thf(f33709,plain,
    ( spl2_555
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(avatar_split_clause,[],[f33708,f2543,f1045,f994,f98,f21015]) ).

thf(f33711,definition,
    ( spl2_609
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_609])],[avatar_definition]) ).

thf(f33712,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_609 ),
    inference(avatar_component_clause,[],[f33711]) ).

thf(f33713,plain,
    ( spl2_609
    | spl2_24 ),
    inference(avatar_split_clause,[],[f526,f229,f33711]) ).

thf(f33716,definition,
    ( spl2_610
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_610])],[avatar_definition]) ).

thf(f33717,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_610 ),
    inference(avatar_component_clause,[],[f33716]) ).

thf(f33720,definition,
    ( spl2_611
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_611])],[avatar_definition]) ).

thf(f33721,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_611 ),
    inference(avatar_component_clause,[],[f33720]) ).

thf(f33722,plain,
    ( spl2_24
    | spl2_611
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f31470,f1045,f994,f98,f33720,f229]) ).

thf(f33724,definition,
    ( spl2_612
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_612])],[avatar_definition]) ).

thf(f33725,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_612 ),
    inference(avatar_component_clause,[],[f33724]) ).

thf(f33727,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | spl2_292 ),
    inference(avatar_component_clause,[],[f8422]) ).

thf(f33729,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | spl2_393 ),
    inference(avatar_component_clause,[],[f13047]) ).

thf(f33732,plain,
    ( spl2_24
    | spl2_49 ),
    inference(avatar_split_clause,[],[f29668,f516,f229]) ).

thf(f33736,definition,
    ( spl2_613
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_613])],[avatar_definition]) ).

thf(f33737,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_613 ),
    inference(avatar_component_clause,[],[f33736]) ).

thf(f33779,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_49
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f31380,f2145]) ).

thf(f33785,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_49
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f33779]) ).

thf(f33786,plain,
    ( spl2_104
    | ~ spl2_4
    | ~ spl2_49
    | ~ spl2_67
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f33785,f1045,f994,f516,f98,f2266]) ).

thf(f33844,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_6 ),
    inference(constrained_superposition,[],[f106,f27]) ).

thf(f33849,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_6 ),
    inference(trivial_inequality_removal,[],[f33844]) ).

thf(f33851,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_49
    | ~ spl2_456 ),
    inference(constrained_superposition,[],[f14792,f2145]) ).

thf(f33858,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_49
    | ~ spl2_456 ),
    inference(trivial_inequality_removal,[],[f33851]) ).

thf(f33860,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_49
    | ~ spl2_456 ),
    inference(forward_subsumption_resolution,[],[f33858,f201]) ).

thf(f33861,plain,
    ( ~ spl2_19
    | ~ spl2_49
    | ~ spl2_456 ),
    inference(avatar_contradiction_clause,[],[f33860]) ).

thf(f33873,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = ( sK0 @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_6 ),
    inference(constrained_superposition,[],[f33849,f51]) ).

thf(f33875,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_6 ),
    inference(trivial_inequality_removal,[],[f33873]) ).

thf(f33877,plain,
    ( spl2_547
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f33875,f105,f19884]) ).

thf(f33878,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_104 ),
    inference(constrained_superposition,[],[f2267,f171]) ).

thf(f33884,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_104 ),
    inference(trivial_inequality_removal,[],[f33878]) ).

thf(f33888,plain,
    ( spl2_611
    | ~ spl2_104 ),
    inference(avatar_split_clause,[],[f33884,f2266,f33720]) ).

thf(f33911,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_289
    | ~ spl2_435 ),
    inference(constrained_superposition,[],[f13990,f8342]) ).

thf(f33942,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_289
    | ~ spl2_435 ),
    inference(trivial_inequality_removal,[],[f33911]) ).

thf(f33966,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_389 ),
    inference(constrained_superposition,[],[f5897,f13030]) ).

thf(f33973,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_389 ),
    inference(duplicate_literal_removal,[],[f33966]) ).

thf(f33974,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_389 ),
    inference(trivial_inequality_removal,[],[f33973]) ).

thf(f33976,plain,
    ( spl2_23
    | spl2_400
    | ~ spl2_4
    | ~ spl2_389 ),
    inference(avatar_split_clause,[],[f33974,f13029,f98,f13088,f226]) ).

thf(f34062,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f31394,f13085]) ).

thf(f34067,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f34062]) ).

thf(f34072,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f34067,f99]) ).

thf(f34074,plain,
    ( spl2_400
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f34072,f13084,f1045,f994,f98,f13088]) ).

thf(f34075,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_38
    | ~ spl2_400 ),
    inference(constrained_superposition,[],[f26581,f13089]) ).

thf(f34081,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_6
    | ~ spl2_400 ),
    inference(constrained_superposition,[],[f106,f13089]) ).

thf(f34094,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_6
    | ~ spl2_400 ),
    inference(trivial_inequality_removal,[],[f34081]) ).

thf(f34096,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_38
    | ~ spl2_400 ),
    inference(trivial_inequality_removal,[],[f34075]) ).

thf(f34111,plain,
    ( ~ spl2_422
    | ~ spl2_6
    | ~ spl2_400 ),
    inference(avatar_split_clause,[],[f34094,f13088,f105,f13627]) ).

thf(f34241,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_579 ),
    inference(constrained_superposition,[],[f26094,f721]) ).

thf(f34251,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_579 ),
    inference(trivial_inequality_removal,[],[f34241]) ).

thf(f34257,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_316
    | ~ spl2_492 ),
    inference(constrained_superposition,[],[f16276,f10206]) ).

thf(f34266,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_316
    | ~ spl2_492 ),
    inference(trivial_inequality_removal,[],[f34257]) ).

thf(f34270,plain,
    ( $false
    | ~ spl2_316
    | ~ spl2_399
    | ~ spl2_492 ),
    inference(forward_subsumption_resolution,[],[f34266,f13085]) ).

thf(f34271,plain,
    ( ~ spl2_316
    | ~ spl2_399
    | ~ spl2_492 ),
    inference(avatar_contradiction_clause,[],[f34270]) ).

thf(f34334,definition,
    ( spl2_614
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_614])],[avatar_definition]) ).

thf(f34335,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | spl2_614 ),
    inference(avatar_component_clause,[],[f34334]) ).

thf(f34355,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_614 ),
    inference(constrained_superposition,[],[f34335,f722]) ).

thf(f34357,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | spl2_614 ),
    inference(constrained_superposition,[],[f34335,f52]) ).

thf(f34360,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_614 ),
    inference(trivial_inequality_removal,[],[f34355]) ).

thf(f34361,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_614 ),
    inference(trivial_inequality_removal,[],[f34357]) ).

thf(f34364,plain,
    ( spl2_248
    | spl2_614 ),
    inference(avatar_split_clause,[],[f34360,f34334,f7987]) ).

thf(f34365,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_74
    | spl2_614 ),
    inference(forward_subsumption_resolution,[],[f34361,f7923]) ).

thf(f34367,plain,
    ( spl2_248
    | spl2_74
    | spl2_614 ),
    inference(avatar_split_clause,[],[f34365,f34334,f1048,f7987]) ).

thf(f34462,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_115
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f30253,f10203]) ).

thf(f34470,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f58,f10203]) ).

thf(f34484,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_115
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f34462]) ).

thf(f34492,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f34470]) ).

thf(f34560,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_553 ),
    inference(constrained_superposition,[],[f20846,f8176]) ).

thf(f34567,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_553 ),
    inference(trivial_inequality_removal,[],[f34560]) ).

thf(f34572,plain,
    ( spl2_456
    | ~ spl2_273
    | ~ spl2_553 ),
    inference(avatar_split_clause,[],[f34567,f20845,f8175,f14791]) ).

thf(f34600,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_263 ),
    inference(constrained_superposition,[],[f58,f8097]) ).

thf(f34608,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_263 ),
    inference(trivial_inequality_removal,[],[f34600]) ).

thf(f34631,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_67
    | ~ spl2_611 ),
    inference(constrained_superposition,[],[f33721,f995]) ).

thf(f34632,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_278
    | ~ spl2_611 ),
    inference(constrained_superposition,[],[f33721,f8233]) ).

thf(f34637,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_67
    | ~ spl2_611 ),
    inference(trivial_inequality_removal,[],[f34631]) ).

thf(f34638,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_278
    | ~ spl2_611 ),
    inference(trivial_inequality_removal,[],[f34632]) ).

thf(f34641,plain,
    ( spl2_288
    | ~ spl2_278
    | ~ spl2_611 ),
    inference(avatar_split_clause,[],[f34638,f33720,f8232,f8337]) ).

thf(f34656,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | spl2_255
    | ~ spl2_263 ),
    inference(forward_subsumption_resolution,[],[f34608,f32522]) ).

thf(f34659,plain,
    ( ~ spl2_473
    | spl2_396
    | ~ spl2_38
    | ~ spl2_400 ),
    inference(avatar_split_clause,[],[f34096,f13088,f382,f13058,f15705]) ).

thf(f34661,plain,
    ( spl2_76
    | ~ spl2_67
    | ~ spl2_611 ),
    inference(avatar_split_clause,[],[f34637,f33720,f994,f1058]) ).

thf(f34668,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_115
    | ~ spl2_289
    | ~ spl2_435 ),
    inference(forward_subsumption_resolution,[],[f33942,f8168]) ).

thf(f34674,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_82
    | ~ spl2_601 ),
    inference(forward_subsumption_resolution,[],[f32764,f1225]) ).

thf(f34676,plain,
    ( $false
    | ~ spl2_107
    | ~ spl2_196
    | ~ spl2_268 ),
    inference(forward_subsumption_resolution,[],[f2452,f30405]) ).

thf(f34677,plain,
    ( ~ spl2_107
    | ~ spl2_196
    | ~ spl2_268 ),
    inference(avatar_contradiction_clause,[],[f34676]) ).

thf(f34681,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | spl2_247
    | ~ spl2_315 ),
    inference(forward_subsumption_resolution,[],[f34492,f8208]) ).

thf(f34688,plain,
    ( ~ spl2_473
    | spl2_477
    | spl2_255
    | ~ spl2_263 ),
    inference(avatar_split_clause,[],[f34656,f8096,f8028,f15724,f15705]) ).

thf(f34694,plain,
    ( ~ spl2_63
    | ~ spl2_115
    | ~ spl2_289
    | ~ spl2_435 ),
    inference(avatar_split_clause,[],[f34668,f13989,f8341,f2504,f981]) ).

thf(f34697,plain,
    ( spl2_248
    | ~ spl2_63
    | ~ spl2_82
    | ~ spl2_601 ),
    inference(avatar_split_clause,[],[f34674,f32101,f1224,f981,f7987]) ).

thf(f34699,plain,
    ( ~ spl2_473
    | spl2_477
    | spl2_247
    | ~ spl2_315 ),
    inference(avatar_split_clause,[],[f34681,f10202,f7984,f15724,f15705]) ).

thf(f34812,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f30,f8176]) ).

thf(f34813,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f34812]) ).

thf(f34818,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_288
    | ~ spl2_601 ),
    inference(constrained_superposition,[],[f32102,f8338]) ).

thf(f34819,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_115
    | ~ spl2_288
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f32064,f8338]) ).

thf(f34836,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_288
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f34819]) ).

thf(f34841,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_288
    | ~ spl2_601 ),
    inference(trivial_inequality_removal,[],[f34818]) ).

thf(f34856,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_288
    | ~ spl2_601 ),
    inference(forward_subsumption_resolution,[],[f34841,f230]) ).

thf(f34863,plain,
    ( $false
    | ~ spl2_21
    | ~ spl2_24
    | ~ spl2_288
    | ~ spl2_601 ),
    inference(forward_subsumption_resolution,[],[f34856,f9421]) ).

thf(f34864,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_288
    | ~ spl2_601 ),
    inference(avatar_contradiction_clause,[],[f34863]) ).

thf(f34976,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_286
    | ~ spl2_597 ),
    inference(constrained_superposition,[],[f29619,f8424]) ).

thf(f34977,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_597 ),
    inference(constrained_superposition,[],[f29619,f8104]) ).

thf(f34979,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_284
    | ~ spl2_597 ),
    inference(constrained_superposition,[],[f29619,f8324]) ).

thf(f34986,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_597 ),
    inference(trivial_inequality_removal,[],[f34977]) ).

thf(f34987,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_284
    | ~ spl2_597 ),
    inference(trivial_inequality_removal,[],[f34979]) ).

thf(f34988,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_286
    | ~ spl2_597 ),
    inference(trivial_inequality_removal,[],[f34976]) ).

thf(f34992,plain,
    ( spl2_276
    | ~ spl2_265
    | ~ spl2_597 ),
    inference(avatar_split_clause,[],[f34986,f29618,f8103,f8216]) ).

thf(f34993,plain,
    ( spl2_456
    | ~ spl2_284
    | ~ spl2_597 ),
    inference(avatar_split_clause,[],[f34987,f29618,f8323,f14791]) ).

thf(f34994,plain,
    ( spl2_104
    | ~ spl2_286
    | ~ spl2_597 ),
    inference(avatar_split_clause,[],[f34988,f29618,f8331,f2266]) ).

thf(f34999,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_288
    | ~ spl2_608 ),
    inference(constrained_superposition,[],[f33014,f8338]) ).

thf(f35005,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_288
    | ~ spl2_608 ),
    inference(trivial_inequality_removal,[],[f34999]) ).

thf(f35009,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_24
    | ~ spl2_288
    | ~ spl2_608 ),
    inference(forward_subsumption_resolution,[],[f35005,f230]) ).

thf(f35010,plain,
    ( ~ spl2_16
    | ~ spl2_24
    | ~ spl2_288
    | ~ spl2_608 ),
    inference(avatar_split_clause,[],[f35009,f33013,f8337,f229,f190]) ).

thf(f35022,plain,
    ( ~ spl2_76
    | ~ spl2_24
    | ~ spl2_115
    | ~ spl2_288
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f34836,f10956,f8337,f2504,f229,f1058]) ).

thf(f35047,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_49 ),
    inference(constrained_superposition,[],[f5886,f2145]) ).

thf(f35051,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_49 ),
    inference(trivial_inequality_removal,[],[f35047]) ).

thf(f35063,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f30,f1046]) ).

thf(f35067,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f35063]) ).

thf(f35159,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_263
    | ~ spl2_461 ),
    inference(constrained_superposition,[],[f15092,f8097]) ).

thf(f35163,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_461 ),
    inference(constrained_superposition,[],[f15092,f50]) ).

thf(f35168,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_461 ),
    inference(trivial_inequality_removal,[],[f35163]) ).

thf(f35174,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_263
    | ~ spl2_461 ),
    inference(trivial_inequality_removal,[],[f35159]) ).

thf(f35175,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | spl2_255
    | ~ spl2_461 ),
    inference(forward_subsumption_resolution,[],[f35168,f32522]) ).

thf(f35179,plain,
    ( $false
    | ~ spl2_263
    | ~ spl2_315
    | ~ spl2_461 ),
    inference(forward_subsumption_resolution,[],[f35174,f10203]) ).

thf(f35180,plain,
    ( ~ spl2_263
    | ~ spl2_315
    | ~ spl2_461 ),
    inference(avatar_contradiction_clause,[],[f35179]) ).

thf(f35181,plain,
    ( ~ spl2_321
    | spl2_255
    | ~ spl2_461 ),
    inference(avatar_split_clause,[],[f35175,f15091,f8028,f10276]) ).

thf(f35200,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_548 ),
    inference(constrained_superposition,[],[f20189,f8424]) ).

thf(f35203,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_284
    | ~ spl2_548 ),
    inference(constrained_superposition,[],[f20189,f8324]) ).

thf(f35211,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_548 ),
    inference(trivial_inequality_removal,[],[f35200]) ).

thf(f35212,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_284
    | ~ spl2_548 ),
    inference(trivial_inequality_removal,[],[f35203]) ).

thf(f35214,plain,
    ( spl2_196
    | ~ spl2_286
    | ~ spl2_548 ),
    inference(avatar_split_clause,[],[f35211,f20188,f8331,f5093]) ).

thf(f35215,plain,
    ( spl2_198
    | ~ spl2_284
    | ~ spl2_548 ),
    inference(avatar_split_clause,[],[f35212,f20188,f8323,f5104]) ).

thf(f35216,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_49 ),
    inference(constrained_superposition,[],[f35051,f171]) ).

thf(f35226,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_49 ),
    inference(trivial_inequality_removal,[],[f35216]) ).

thf(f35230,plain,
    ( spl2_610
    | ~ spl2_4
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f35226,f516,f98,f33716]) ).

thf(f35234,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_423 ),
    inference(constrained_superposition,[],[f13631,f721]) ).

thf(f35238,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_423 ),
    inference(constrained_superposition,[],[f13631,f50]) ).

thf(f35241,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_423 ),
    inference(trivial_inequality_removal,[],[f35234]) ).

thf(f35248,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_423 ),
    inference(trivial_inequality_removal,[],[f35238]) ).

thf(f35249,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_395
    | ~ spl2_423 ),
    inference(forward_subsumption_resolution,[],[f35241,f17671]) ).

thf(f35252,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | spl2_389
    | ~ spl2_423 ),
    inference(forward_subsumption_resolution,[],[f35248,f13218]) ).

thf(f35253,plain,
    ( $false
    | ~ spl2_347
    | spl2_395
    | ~ spl2_423 ),
    inference(forward_subsumption_resolution,[],[f35249,f18151]) ).

thf(f35254,plain,
    ( ~ spl2_347
    | spl2_395
    | ~ spl2_423 ),
    inference(avatar_contradiction_clause,[],[f35253]) ).

thf(f35255,plain,
    ( ~ spl2_321
    | spl2_389
    | ~ spl2_423 ),
    inference(avatar_split_clause,[],[f35252,f13630,f13029,f10276]) ).

thf(f35349,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_115
    | ~ spl2_263
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f34484,f8097]) ).

thf(f35356,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_263
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f35349]) ).

thf(f35363,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_263
    | ~ spl2_289
    | ~ spl2_315 ),
    inference(forward_subsumption_resolution,[],[f35356,f8342]) ).

thf(f35365,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_115
    | ~ spl2_263
    | ~ spl2_289
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f35363,f52]) ).

thf(f35367,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_115
    | ~ spl2_263
    | ~ spl2_289
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f35365]) ).

thf(f35373,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_524 ),
    inference(constrained_superposition,[],[f18674,f81]) ).

thf(f35383,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_524 ),
    inference(trivial_inequality_removal,[],[f35373]) ).

thf(f35484,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_610 ),
    inference(constrained_superposition,[],[f33717,f171]) ).

thf(f35500,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true ) )
    | ~ spl2_610 ),
    inference(duplicate_literal_removal,[],[f35484]) ).

thf(f35501,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true ) )
    | ~ spl2_610 ),
    inference(trivial_inequality_removal,[],[f35500]) ).

thf(f35505,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_292
    | ~ spl2_341 ),
    inference(constrained_superposition,[],[f10885,f8423]) ).

thf(f35518,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_292
    | ~ spl2_341 ),
    inference(trivial_inequality_removal,[],[f35505]) ).

thf(f35522,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_292
    | ~ spl2_341 ),
    inference(forward_subsumption_resolution,[],[f35518,f99]) ).

thf(f35523,plain,
    ( spl2_103
    | ~ spl2_4
    | ~ spl2_292
    | ~ spl2_341 ),
    inference(avatar_split_clause,[],[f35522,f10884,f8422,f98,f2147]) ).

thf(f35549,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_278 ),
    inference(constrained_superposition,[],[f34813,f8233]) ).

thf(f35553,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f34813,f8104]) ).

thf(f35559,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f35553]) ).

thf(f35561,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_278 ),
    inference(trivial_inequality_removal,[],[f35549]) ).

thf(f35564,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_273
    | ~ spl2_284 ),
    inference(forward_subsumption_resolution,[],[f35559,f8324]) ).

thf(f35566,plain,
    ( spl2_548
    | ~ spl2_265
    | ~ spl2_273
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f35564,f8323,f8175,f8103,f20188]) ).

thf(f35580,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_196
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f5094,f8424]) ).

thf(f35588,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_196
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f35580]) ).

thf(f35638,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_399
    | ~ spl2_575 ),
    inference(constrained_superposition,[],[f24946,f13085]) ).

thf(f35648,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_399
    | ~ spl2_575 ),
    inference(trivial_inequality_removal,[],[f35638]) ).

thf(f35684,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_391
    | ~ spl2_400 ),
    inference(constrained_superposition,[],[f13040,f13089]) ).

thf(f35686,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_391
    | ~ spl2_400 ),
    inference(trivial_inequality_removal,[],[f35684]) ).

thf(f35740,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_114 ),
    inference(constrained_superposition,[],[f2501,f721]) ).

thf(f35757,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_114 ),
    inference(trivial_inequality_removal,[],[f35740]) ).

thf(f35759,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_114
    | spl2_349 ),
    inference(forward_subsumption_resolution,[],[f35757,f18144]) ).

thf(f35765,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_114
    | ~ spl2_115
    | spl2_349 ),
    inference(constrained_superposition,[],[f35759,f8168]) ).

thf(f35767,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_114
    | ~ spl2_115
    | spl2_349 ),
    inference(trivial_inequality_removal,[],[f35765]) ).

thf(f35774,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_21
    | ~ spl2_114
    | ~ spl2_115
    | spl2_349 ),
    inference(forward_subsumption_resolution,[],[f35767,f9421]) ).

thf(f35775,plain,
    ( $false
    | ~ spl2_21
    | ~ spl2_82
    | ~ spl2_114
    | ~ spl2_115
    | spl2_349 ),
    inference(forward_subsumption_resolution,[],[f35774,f1225]) ).

thf(f35776,plain,
    ( ~ spl2_21
    | ~ spl2_82
    | ~ spl2_114
    | ~ spl2_115
    | spl2_349 ),
    inference(avatar_contradiction_clause,[],[f35775]) ).

thf(f35778,definition,
    ( spl2_617
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_617])],[avatar_definition]) ).

thf(f35779,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_617 ),
    inference(avatar_component_clause,[],[f35778]) ).

thf(f35782,definition,
    ( spl2_618
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_618])],[avatar_definition]) ).

thf(f35783,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_618 ),
    inference(avatar_component_clause,[],[f35782]) ).

thf(f35793,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_73
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f35067,f10984]) ).

thf(f35811,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_73
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f35793]) ).

thf(f35817,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_273
    | ~ spl2_349 ),
    inference(forward_subsumption_resolution,[],[f35811,f8176]) ).

thf(f35818,plain,
    ( spl2_511
    | ~ spl2_73
    | ~ spl2_273
    | ~ spl2_349 ),
    inference(avatar_split_clause,[],[f35817,f10983,f8175,f1045,f17850]) ).

thf(f35872,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_115
    | ~ spl2_617 ),
    inference(constrained_superposition,[],[f35779,f8168]) ).

thf(f35878,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_115
    | ~ spl2_617 ),
    inference(trivial_inequality_removal,[],[f35872]) ).

thf(f35881,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_21
    | ~ spl2_115
    | ~ spl2_617 ),
    inference(forward_subsumption_resolution,[],[f35878,f9421]) ).

thf(f35882,plain,
    ( ~ spl2_8
    | ~ spl2_21
    | ~ spl2_115
    | ~ spl2_617 ),
    inference(avatar_split_clause,[],[f35881,f35778,f2504,f207,f111]) ).

thf(f35884,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_273
    | ~ spl2_278 ),
    inference(forward_subsumption_resolution,[],[f35561,f99]) ).

thf(f35885,plain,
    ( spl2_348
    | spl2_265
    | ~ spl2_115
    | ~ spl2_263
    | ~ spl2_289
    | ~ spl2_315 ),
    inference(avatar_split_clause,[],[f35367,f10202,f8341,f8096,f2504,f8103,f10980]) ).

thf(f35892,plain,
    ( spl2_198
    | ~ spl2_399
    | ~ spl2_575 ),
    inference(avatar_split_clause,[],[f35648,f24945,f13084,f5104]) ).

thf(f35893,plain,
    ( ~ spl2_285
    | ~ spl2_196
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f35588,f8331,f5093,f8327]) ).

thf(f35895,definition,
    ( spl2_620
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_620])],[avatar_definition]) ).

thf(f35896,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_620 ),
    inference(avatar_component_clause,[],[f35895]) ).

thf(f35897,plain,
    ( spl2_620
    | spl2_73
    | ~ spl2_524 ),
    inference(avatar_split_clause,[],[f35383,f18673,f1045,f35895]) ).

thf(f35901,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_115
    | ~ spl2_391
    | ~ spl2_400 ),
    inference(forward_subsumption_resolution,[],[f35686,f8168]) ).

thf(f35903,plain,
    ( ~ spl2_63
    | ~ spl2_115
    | ~ spl2_391
    | ~ spl2_400 ),
    inference(avatar_split_clause,[],[f35901,f13088,f13039,f2504,f981]) ).

thf(f35932,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_248
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f34813,f7988]) ).

thf(f35942,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_248
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f35932]) ).

thf(f35965,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_273
    | ~ spl2_278 ),
    inference(constrained_superposition,[],[f35884,f2556]) ).

thf(f35971,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_273
    | ~ spl2_278 ),
    inference(duplicate_literal_removal,[],[f35965]) ).

thf(f35972,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_273
    | ~ spl2_278 ),
    inference(trivial_inequality_removal,[],[f35971]) ).

thf(f35979,plain,
    ( spl2_555
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_273
    | ~ spl2_278 ),
    inference(avatar_split_clause,[],[f35972,f8232,f8175,f2543,f98,f21015]) ).

thf(f36072,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_86
    | ~ spl2_395 ),
    inference(constrained_superposition,[],[f1360,f13055]) ).

thf(f36083,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_86
    | ~ spl2_395 ),
    inference(trivial_inequality_removal,[],[f36072]) ).

thf(f36112,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_273
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f34813,f10198]) ).

thf(f36125,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f36112]) ).

thf(f36238,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_347
    | ~ spl2_620 ),
    inference(constrained_superposition,[],[f35896,f18151]) ).

thf(f36241,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_620 ),
    inference(constrained_superposition,[],[f35896,f51]) ).

thf(f36243,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_620 ),
    inference(trivial_inequality_removal,[],[f36241]) ).

thf(f36249,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_347
    | ~ spl2_620 ),
    inference(trivial_inequality_removal,[],[f36238]) ).

thf(f36456,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_115
    | ~ spl2_618 ),
    inference(constrained_superposition,[],[f35783,f8168]) ).

thf(f36457,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_618 ),
    inference(constrained_superposition,[],[f35783,f51]) ).

thf(f36459,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_618 ),
    inference(trivial_inequality_removal,[],[f36457]) ).

thf(f36462,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_115
    | ~ spl2_618 ),
    inference(trivial_inequality_removal,[],[f36456]) ).

thf(f36474,plain,
    ( ~ spl2_73
    | spl2_132
    | ~ spl2_248
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f35942,f8175,f7987,f3262,f1045]) ).

thf(f36478,plain,
    ( ~ spl2_89
    | spl2_295
    | ~ spl2_579 ),
    inference(avatar_split_clause,[],[f34251,f26093,f8434,f1337]) ).

thf(f36487,plain,
    ( ~ spl2_321
    | spl2_322
    | spl2_116
    | ~ spl2_115 ),
    inference(avatar_split_clause,[],[f30262,f2504,f2543,f10282,f10276]) ).

thf(f36493,definition,
    ( spl2_622
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_622])],[avatar_definition]) ).

thf(f36494,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_622 ),
    inference(avatar_component_clause,[],[f36493]) ).

thf(f36504,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_82
    | ~ spl2_115
    | ~ spl2_618 ),
    inference(forward_subsumption_resolution,[],[f36462,f1225]) ).

thf(f36515,plain,
    ( ~ spl2_39
    | ~ spl2_26
    | spl2_595
    | ~ spl2_610 ),
    inference(avatar_split_clause,[],[f35501,f33716,f29055,f244,f385]) ).

thf(f36518,plain,
    ( spl2_575
    | ~ spl2_399
    | ~ spl2_273
    | ~ spl2_314 ),
    inference(avatar_split_clause,[],[f36125,f10197,f8175,f13084,f24945]) ).

thf(f36528,plain,
    ( ~ spl2_21
    | ~ spl2_82
    | ~ spl2_115
    | ~ spl2_618 ),
    inference(avatar_split_clause,[],[f36504,f35782,f2504,f1224,f207]) ).

thf(f36546,plain,
    ( ~ spl2_8
    | ~ spl2_89
    | spl2_278
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f32081,f10956,f2504,f8232,f1337,f111]) ).

thf(f36547,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_288 ),
    inference(avatar_component_clause,[],[f8337]) ).

thf(f36548,plain,
    ( ~ spl2_111
    | ~ spl2_288
    | ~ spl2_347
    | ~ spl2_620 ),
    inference(avatar_split_clause,[],[f36249,f35895,f10956,f8337,f2474]) ).

thf(f36550,plain,
    ( ~ spl2_396
    | spl2_542
    | ~ spl2_86
    | ~ spl2_395 ),
    inference(avatar_split_clause,[],[f36083,f13054,f1275,f19729,f13058]) ).

thf(f36553,definition,
    ( spl2_624
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_624])],[avatar_definition]) ).

thf(f36554,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_624 ),
    inference(avatar_component_clause,[],[f36553]) ).

thf(f36556,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f27307,f41]) ).

thf(f36559,plain,
    ( ~ spl2_89
    | ~ spl2_16
    | spl2_278
    | ~ spl2_618 ),
    inference(avatar_split_clause,[],[f36459,f35782,f8232,f190,f1337]) ).

thf(f36563,plain,
    ( ~ spl2_58
    | spl2_278
    | spl2_67
    | spl2_247
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f36556,f10956,f7984,f994,f8232,f964]) ).

thf(f36592,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f5897,f245]) ).

thf(f36596,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_26 ),
    inference(duplicate_literal_removal,[],[f36592]) ).

thf(f36597,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_4
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f36596]) ).

thf(f36600,definition,
    ( spl2_625
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_625])],[avatar_definition]) ).

thf(f36601,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_625 ),
    inference(avatar_component_clause,[],[f36600]) ).

thf(f36603,plain,
    ( spl2_23
    | spl2_24
    | ~ spl2_4
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f36597,f244,f98,f229,f226]) ).

thf(f36763,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_43
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f485,f11147]) ).

thf(f36766,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_43
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f36763]) ).

thf(f36770,plain,
    ( $false
    | ~ spl2_43
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(forward_subsumption_resolution,[],[f36766,f8233]) ).

thf(f36771,plain,
    ( ~ spl2_43
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(avatar_contradiction_clause,[],[f36770]) ).

thf(f36786,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f5897,f8324]) ).

thf(f36791,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_284 ),
    inference(duplicate_literal_removal,[],[f36786]) ).

thf(f36792,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f36791]) ).

thf(f36849,plain,
    ( spl2_23
    | spl2_289
    | ~ spl2_4
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f36792,f8323,f98,f8341,f226]) ).

thf(f36873,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f5886,f2556]) ).

thf(f36876,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f36873]) ).

thf(f36922,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_23
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f227,f8324]) ).

thf(f36924,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_23
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f36922]) ).

thf(f36928,plain,
    ( ~ spl2_255
    | ~ spl2_23
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f36924,f8323,f226,f8028]) ).

thf(f36962,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_19
    | ~ spl2_196 ),
    inference(constrained_superposition,[],[f5094,f201]) ).

thf(f36971,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_19
    | ~ spl2_196 ),
    inference(trivial_inequality_removal,[],[f36962]) ).

thf(f36974,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_196 ),
    inference(forward_subsumption_resolution,[],[f36971,f2556]) ).

thf(f36975,plain,
    ( ~ spl2_19
    | ~ spl2_116
    | ~ spl2_196 ),
    inference(avatar_contradiction_clause,[],[f36974]) ).

thf(f37129,definition,
    ( spl2_626
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_626])],[avatar_definition]) ).

thf(f37130,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_626 ),
    inference(avatar_component_clause,[],[f37129]) ).

thf(f37137,definition,
    ( spl2_627
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_627])],[avatar_definition]) ).

thf(f37138,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_627 ),
    inference(avatar_component_clause,[],[f37137]) ).

thf(f37530,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_346 ),
    inference(constrained_superposition,[],[f10954,f50]) ).

thf(f37534,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_346 ),
    inference(trivial_inequality_removal,[],[f37530]) ).

thf(f37576,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_553 ),
    inference(constrained_superposition,[],[f20846,f11147]) ).

thf(f37577,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_553 ),
    inference(constrained_superposition,[],[f20846,f8090]) ).

thf(f37579,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_247
    | ~ spl2_553 ),
    inference(constrained_superposition,[],[f20846,f7985]) ).

thf(f37583,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_553 ),
    inference(trivial_inequality_removal,[],[f37577]) ).

thf(f37586,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_553 ),
    inference(trivial_inequality_removal,[],[f37576]) ).

thf(f37591,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_553 ),
    inference(duplicate_literal_removal,[],[f37579]) ).

thf(f37592,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_247
    | ~ spl2_553 ),
    inference(trivial_inequality_removal,[],[f37591]) ).

thf(f37593,plain,
    ( spl2_510
    | ~ spl2_261
    | ~ spl2_553 ),
    inference(avatar_split_clause,[],[f37583,f20845,f8089,f17801]) ).

thf(f37594,plain,
    ( spl2_104
    | ~ spl2_268
    | ~ spl2_553 ),
    inference(avatar_split_clause,[],[f37586,f20845,f8156,f2266]) ).

thf(f37595,plain,
    ( spl2_555
    | ~ spl2_247
    | ~ spl2_553 ),
    inference(avatar_split_clause,[],[f37592,f20845,f7984,f21015]) ).

thf(f37620,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ sK1 ) )
    | ~ spl2_576 ),
    inference(constrained_superposition,[],[f25578,f51]) ).

thf(f37622,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_576 ),
    inference(trivial_inequality_removal,[],[f37620]) ).

thf(f37662,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | ~ spl2_4
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f36876,f1046]) ).

thf(f37668,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f37662]) ).

thf(f37672,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_68
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(forward_subsumption_resolution,[],[f37668,f999]) ).

thf(f37673,plain,
    ( spl2_103
    | ~ spl2_4
    | ~ spl2_68
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(avatar_split_clause,[],[f37672,f2543,f1045,f998,f98,f2147]) ).

thf(f37693,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_576 ),
    inference(forward_subsumption_resolution,[],[f37622,f41]) ).

thf(f37712,plain,
    ( spl2_19
    | spl2_4
    | ~ spl2_576 ),
    inference(avatar_split_clause,[],[f37693,f25577,f98,f200]) ).

thf(f37727,plain,
    ( ~ spl2_16
    | ~ spl2_14
    | spl2_67
    | ~ spl2_620 ),
    inference(avatar_split_clause,[],[f36243,f35895,f994,f157,f190]) ).

thf(f37856,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_254 ),
    inference(constrained_superposition,[],[f529,f8026]) ).

thf(f37860,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_254 ),
    inference(trivial_inequality_removal,[],[f37856]) ).

thf(f37862,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_254 ),
    inference(forward_subsumption_resolution,[],[f37860,f1276]) ).

thf(f37876,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | spl2_295 ),
    inference(constrained_superposition,[],[f31673,f83]) ).

thf(f37879,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_295 ),
    inference(trivial_inequality_removal,[],[f37876]) ).

thf(f37881,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_72
    | spl2_295 ),
    inference(forward_subsumption_resolution,[],[f37879,f7885]) ).

thf(f37882,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | spl2_72
    | spl2_295
    | ~ spl2_620 ),
    inference(constrained_superposition,[],[f35896,f37881]) ).

thf(f37887,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | spl2_72
    | spl2_295 ),
    inference(constrained_superposition,[],[f1983,f37881]) ).

thf(f37905,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_72
    | spl2_295
    | ~ spl2_620 ),
    inference(trivial_inequality_removal,[],[f37882]) ).

thf(f37911,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | spl2_72
    | spl2_295 ),
    inference(trivial_inequality_removal,[],[f37887]) ).

thf(f37928,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_579 ),
    inference(constrained_superposition,[],[f26094,f81]) ).

thf(f37939,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_579 ),
    inference(trivial_inequality_removal,[],[f37928]) ).

thf(f37942,plain,
    ( ~ spl2_269
    | ~ spl2_294
    | spl2_72
    | spl2_295
    | ~ spl2_620 ),
    inference(avatar_split_clause,[],[f37905,f35895,f8434,f1042,f8431,f8159]) ).

thf(f37943,plain,
    ( spl2_269
    | spl2_340
    | ~ spl2_86
    | ~ spl2_254 ),
    inference(avatar_split_clause,[],[f37862,f8025,f1275,f10860,f8159]) ).

thf(f37944,plain,
    ( ~ spl2_14
    | spl2_284
    | ~ spl2_579 ),
    inference(avatar_split_clause,[],[f37939,f26093,f8323,f157]) ).

thf(f38032,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_266 ),
    inference(constrained_superposition,[],[f58,f8107]) ).

thf(f38057,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_266 ),
    inference(trivial_inequality_removal,[],[f38032]) ).

thf(f38091,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f841,f17686]) ).

thf(f38109,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f38091]) ).

thf(f38123,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_477 ),
    inference(constrained_superposition,[],[f15725,f721]) ).

thf(f38126,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_477 ),
    inference(constrained_superposition,[],[f15725,f81]) ).

thf(f38131,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_477 ),
    inference(trivial_inequality_removal,[],[f38123]) ).

thf(f38136,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_477 ),
    inference(trivial_inequality_removal,[],[f38126]) ).

thf(f38362,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_594 ),
    inference(constrained_superposition,[],[f28937,f999]) ).

thf(f38374,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_594 ),
    inference(trivial_inequality_removal,[],[f38362]) ).

thf(f38376,plain,
    ( spl2_419
    | ~ spl2_68
    | ~ spl2_594 ),
    inference(avatar_split_clause,[],[f38374,f28936,f998,f13610]) ).

thf(f38380,plain,
    ( ~ spl2_58
    | spl2_247
    | ~ spl2_346 ),
    inference(avatar_split_clause,[],[f37534,f10953,f7984,f964]) ).

thf(f38415,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true ) )
    | spl2_255
    | ~ spl2_266 ),
    inference(forward_subsumption_resolution,[],[f38057,f32522]) ).

thf(f38417,plain,
    ( ~ spl2_321
    | spl2_322
    | spl2_255
    | ~ spl2_266 ),
    inference(avatar_split_clause,[],[f38415,f8106,f8028,f10282,f10276]) ).

thf(f38442,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_49
    | ~ spl2_117 ),
    inference(constrained_superposition,[],[f2549,f2145]) ).

thf(f38443,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(constrained_superposition,[],[f2549,f2556]) ).

thf(f38449,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(trivial_inequality_removal,[],[f38443]) ).

thf(f38450,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_49
    | ~ spl2_117 ),
    inference(trivial_inequality_removal,[],[f38442]) ).

thf(f38455,plain,
    ( spl2_419
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(avatar_split_clause,[],[f38449,f2548,f2543,f13610]) ).

thf(f38456,plain,
    ( spl2_43
    | ~ spl2_49
    | ~ spl2_117 ),
    inference(avatar_split_clause,[],[f38450,f2548,f516,f484]) ).

thf(f38465,plain,
    ( spl2_399
    | ~ spl2_14
    | ~ spl2_477 ),
    inference(avatar_split_clause,[],[f38136,f15724,f157,f13084]) ).

thf(f38466,plain,
    ( spl2_599
    | spl2_254
    | spl2_72
    | spl2_295 ),
    inference(avatar_split_clause,[],[f37911,f8434,f1042,f8025,f31738]) ).

thf(f38475,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_395
    | ~ spl2_477 ),
    inference(forward_subsumption_resolution,[],[f38131,f17671]) ).

thf(f38480,plain,
    ( ~ spl2_89
    | spl2_395
    | ~ spl2_477 ),
    inference(avatar_split_clause,[],[f38475,f15724,f13054,f1337]) ).

thf(f38489,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_384 ),
    inference(avatar_component_clause,[],[f12921]) ).

thf(f38491,plain,
    ( spl2_82
    | ~ spl2_49
    | spl2_48
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f1577,f1275,f513,f516,f1224]) ).

thf(f38494,definition,
    ( spl2_635
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_635])],[avatar_definition]) ).

thf(f38495,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_635 ),
    inference(avatar_component_clause,[],[f38494]) ).

thf(f38592,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
         != ( sK0 @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_72 ),
    inference(constrained_superposition,[],[f49,f1043]) ).

thf(f38666,definition,
    ( spl2_637
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_637])],[avatar_definition]) ).

thf(f38667,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_637 ),
    inference(avatar_component_clause,[],[f38666]) ).

thf(f38708,plain,
    ( spl2_76
    | spl2_44
    | ~ spl2_46
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f1573,f1275,f504,f498,f1058]) ).

thf(f38709,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ~ spl2_115 ),
    inference(forward_subsumption_resolution,[],[f30258,f41]) ).

thf(f38715,plain,
    ( spl2_278
    | spl2_116
    | spl2_4
    | ~ spl2_321
    | ~ spl2_115 ),
    inference(avatar_split_clause,[],[f38709,f2504,f10276,f98,f2543,f8232]) ).

thf(f38722,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_437 ),
    inference(forward_subsumption_resolution,[],[f38109,f41]) ).

thf(f38723,plain,
    ( spl2_393
    | spl2_67
    | spl2_389
    | ~ spl2_58
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f38722,f13998,f964,f13029,f994,f13047]) ).

thf(f38740,definition,
    ( spl2_638
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_638])],[avatar_definition]) ).

thf(f38741,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_638 ),
    inference(avatar_component_clause,[],[f38740]) ).

thf(f38748,definition,
    ( spl2_640
  <=> ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_640])],[avatar_definition]) ).

thf(f38749,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true ) )
    | ~ spl2_640 ),
    inference(avatar_component_clause,[],[f38748]) ).

thf(f38762,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f30,f2556]) ).

thf(f38763,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f38762]) ).

thf(f38767,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_109 ),
    inference(constrained_superposition,[],[f30,f2467]) ).

thf(f38768,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_109 ),
    inference(duplicate_literal_removal,[],[f38767]) ).

thf(f38769,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_109 ),
    inference(trivial_inequality_removal,[],[f38768]) ).

thf(f38770,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( sK1 = X0 )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
          = $true ) )
    | ~ spl2_204 ),
    inference(constrained_superposition,[],[f5147,f27]) ).

thf(f38772,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_204 ),
    inference(trivial_inequality_removal,[],[f38770]) ).

thf(f38776,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) ) )
    | ~ spl2_39 ),
    inference(constrained_superposition,[],[f30,f386]) ).

thf(f38777,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) ) )
    | ~ spl2_39 ),
    inference(trivial_inequality_removal,[],[f38776]) ).

thf(f38794,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_72 ),
    inference(equality_resolution,[],[f38592]) ).

thf(f38799,plain,
    ( $false
    | ~ spl2_72 ),
    inference(forward_subsumption_resolution,[],[f38794,f41]) ).

thf(f38800,plain,
    ~ spl2_72,
    inference(avatar_contradiction_clause,[],[f38799]) ).

thf(f38801,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | spl2_72 ),
    inference(extensionality_resolution,[],[f566,f7885]) ).

thf(f38802,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) )
    | spl2_72 ),
    inference(extensionality_resolution,[],[f566,f7885]) ).

thf(f38803,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | spl2_72 ),
    inference(extensionality_resolution,[],[f168,f7885]) ).

thf(f38804,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | spl2_72 ),
    inference(extensionality_resolution,[],[f168,f7885]) ).

thf(f38805,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | spl2_72 ),
    inference(extensionality_resolution,[],[f564,f7885]) ).

thf(f38806,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
         != $true ) )
    | spl2_72 ),
    inference(extensionality_resolution,[],[f564,f7885]) ).

thf(f38815,plain,
    ( ~ spl2_58
    | spl2_317
    | spl2_78
    | spl2_72 ),
    inference(avatar_split_clause,[],[f38802,f1042,f1067,f10209,f964]) ).

thf(f38816,plain,
    ( spl2_316
    | spl2_315
    | spl2_72 ),
    inference(avatar_split_clause,[],[f38804,f1042,f10202,f10205]) ).

thf(f38817,plain,
    ( spl2_313
    | spl2_314
    | spl2_72 ),
    inference(avatar_split_clause,[],[f38803,f1042,f10197,f10194]) ).

thf(f38842,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f31,f230]) ).

thf(f38851,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f38842]) ).

thf(f38864,plain,
    ( spl2_637
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f38851,f229,f38666]) ).

thf(f38890,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f31,f9421]) ).

thf(f38911,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f38890]) ).

thf(f38915,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_19
    | ~ spl2_419 ),
    inference(constrained_superposition,[],[f13611,f201]) ).

thf(f38917,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_19
    | ~ spl2_419 ),
    inference(trivial_inequality_removal,[],[f38915]) ).

thf(f38919,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_39
    | ~ spl2_419 ),
    inference(forward_subsumption_resolution,[],[f38917,f386]) ).

thf(f38920,plain,
    ( ~ spl2_19
    | ~ spl2_39
    | ~ spl2_419 ),
    inference(avatar_contradiction_clause,[],[f38919]) ).

thf(f38927,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_78
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f1360,f1068]) ).

thf(f38932,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_78
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f38927]) ).

thf(f38999,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_60
    | ~ spl2_500 ),
    inference(constrained_superposition,[],[f16711,f1191]) ).

thf(f39005,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_60
    | ~ spl2_126 ),
    inference(constrained_superposition,[],[f3006,f1191]) ).

thf(f39019,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_60
    | ~ spl2_500 ),
    inference(trivial_inequality_removal,[],[f38999]) ).

thf(f39021,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_60
    | ~ spl2_126 ),
    inference(trivial_inequality_removal,[],[f39005]) ).

thf(f39041,plain,
    ( $false
    | spl2_19
    | ~ spl2_60
    | ~ spl2_500 ),
    inference(forward_subsumption_resolution,[],[f39019,f1054]) ).

thf(f39042,plain,
    ( spl2_19
    | ~ spl2_60
    | ~ spl2_500 ),
    inference(avatar_contradiction_clause,[],[f39041]) ).

thf(f39044,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_49
    | ~ spl2_60
    | ~ spl2_126 ),
    inference(forward_subsumption_resolution,[],[f39021,f517]) ).

thf(f39048,plain,
    ( ~ spl2_16
    | spl2_27
    | spl2_49
    | ~ spl2_60
    | ~ spl2_126 ),
    inference(avatar_split_clause,[],[f39044,f3005,f971,f516,f247,f190]) ).

thf(f39058,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_595
    | ~ spl2_601 ),
    inference(constrained_superposition,[],[f32102,f29056]) ).

thf(f39077,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_595
    | ~ spl2_601 ),
    inference(trivial_inequality_removal,[],[f39058]) ).

thf(f39094,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_24
    | ~ spl2_595
    | ~ spl2_601 ),
    inference(forward_subsumption_resolution,[],[f39077,f230]) ).

thf(f39102,plain,
    ( $false
    | ~ spl2_21
    | ~ spl2_24
    | ~ spl2_595
    | ~ spl2_601 ),
    inference(forward_subsumption_resolution,[],[f39094,f9421]) ).

thf(f39103,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_595
    | ~ spl2_601 ),
    inference(avatar_contradiction_clause,[],[f39102]) ).

thf(f39133,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_106 ),
    inference(constrained_superposition,[],[f529,f2449]) ).

thf(f39138,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_106 ),
    inference(trivial_inequality_removal,[],[f39133]) ).

thf(f39141,definition,
    ( spl2_645
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_645])],[avatar_definition]) ).

thf(f39142,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_645 ),
    inference(avatar_component_clause,[],[f39141]) ).

thf(f39174,plain,
    ( ~ spl2_49
    | spl2_48
    | ~ spl2_78
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f38932,f1275,f1067,f513,f516]) ).

thf(f39212,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_288 ),
    inference(constrained_superposition,[],[f36547,f52]) ).

thf(f39215,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_288 ),
    inference(trivial_inequality_removal,[],[f39212]) ).

thf(f39377,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_117 ),
    inference(constrained_superposition,[],[f2549,f82]) ).

thf(f39394,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_117 ),
    inference(trivial_inequality_removal,[],[f39377]) ).

thf(f39419,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_254 ),
    inference(constrained_superposition,[],[f529,f8026]) ).

thf(f39422,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_254 ),
    inference(trivial_inequality_removal,[],[f39419]) ).

thf(f39465,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f58,f13225]) ).

thf(f39492,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f39465]) ).

thf(f39534,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ~ spl2_204
    | spl2_273 ),
    inference(constrained_superposition,[],[f17852,f38772]) ).

thf(f39544,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_204
    | spl2_273 ),
    inference(trivial_inequality_removal,[],[f39534]) ).

thf(f39567,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_500 ),
    inference(constrained_superposition,[],[f16711,f81]) ).

thf(f39571,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_500 ),
    inference(trivial_inequality_removal,[],[f39567]) ).

thf(f39733,plain,
    ( ( $true != $true )
    | ( $true != $true )
    | ~ spl2_137
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f4826,f9147]) ).

thf(f39734,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_185
    | ~ spl2_254 ),
    inference(constrained_superposition,[],[f4826,f8026]) ).

thf(f39736,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f4826,f1046]) ).

thf(f39744,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_185
    | ~ spl2_254 ),
    inference(trivial_inequality_removal,[],[f39734]) ).

thf(f39748,plain,
    ( ( $true != $true )
    | ~ spl2_137
    | ~ spl2_185 ),
    inference(duplicate_literal_removal,[],[f39733]) ).

thf(f39749,plain,
    ( $false
    | ~ spl2_137
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f39748]) ).

thf(f39750,plain,
    ( ~ spl2_137
    | ~ spl2_185 ),
    inference(avatar_contradiction_clause,[],[f39749]) ).

thf(f39751,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f39736]) ).

thf(f39752,plain,
    ( $false
    | ~ spl2_185
    | ~ spl2_254
    | ~ spl2_295 ),
    inference(forward_subsumption_resolution,[],[f39744,f8435]) ).

thf(f39753,plain,
    ( ~ spl2_185
    | ~ spl2_254
    | ~ spl2_295 ),
    inference(avatar_contradiction_clause,[],[f39752]) ).

thf(f39754,plain,
    ( $false
    | ~ spl2_73
    | ~ spl2_78
    | ~ spl2_185 ),
    inference(forward_subsumption_resolution,[],[f39751,f1068]) ).

thf(f39755,plain,
    ( ~ spl2_73
    | ~ spl2_78
    | ~ spl2_185 ),
    inference(avatar_contradiction_clause,[],[f39754]) ).

thf(f39785,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_48
    | ~ spl2_106 ),
    inference(constrained_superposition,[],[f514,f2449]) ).

thf(f39787,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_48
    | ~ spl2_463 ),
    inference(constrained_superposition,[],[f514,f15158]) ).

thf(f39788,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_46
    | ~ spl2_48 ),
    inference(constrained_superposition,[],[f514,f20746]) ).

thf(f39795,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_46
    | ~ spl2_48 ),
    inference(trivial_inequality_removal,[],[f39788]) ).

thf(f39802,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_48
    | ~ spl2_106 ),
    inference(trivial_inequality_removal,[],[f39785]) ).

thf(f39804,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_48
    | ~ spl2_463 ),
    inference(trivial_inequality_removal,[],[f39787]) ).

thf(f39807,plain,
    ( spl2_121
    | ~ spl2_46
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f39795,f513,f504,f2681]) ).

thf(f39808,plain,
    ( spl2_589
    | ~ spl2_48
    | ~ spl2_106 ),
    inference(avatar_split_clause,[],[f39802,f2448,f513,f28002]) ).

thf(f39809,plain,
    ( spl2_478
    | ~ spl2_48
    | ~ spl2_463 ),
    inference(avatar_split_clause,[],[f39804,f15157,f513,f15773]) ).

thf(f39869,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(constrained_superposition,[],[f28937,f1046]) ).

thf(f39879,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(trivial_inequality_removal,[],[f39869]) ).

thf(f39937,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f75,f10203]) ).

thf(f39939,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_315
    | ~ spl2_346 ),
    inference(constrained_superposition,[],[f10954,f10203]) ).

thf(f39965,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_315
    | ~ spl2_346 ),
    inference(trivial_inequality_removal,[],[f39939]) ).

thf(f39969,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f39937]) ).

thf(f39982,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_315
    | spl2_393 ),
    inference(forward_subsumption_resolution,[],[f39969,f33729]) ).

thf(f39985,plain,
    ( spl2_423
    | ~ spl2_362
    | ~ spl2_315
    | spl2_393 ),
    inference(avatar_split_clause,[],[f39982,f13047,f10202,f11611,f13630]) ).

thf(f39986,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_315
    | ~ spl2_346 ),
    inference(constrained_superposition,[],[f39965,f722]) ).

thf(f39992,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_315
    | ~ spl2_346 ),
    inference(trivial_inequality_removal,[],[f39986]) ).

thf(f39996,plain,
    ( spl2_392
    | ~ spl2_315
    | ~ spl2_346 ),
    inference(avatar_split_clause,[],[f39992,f10953,f10202,f13042]) ).

thf(f40047,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_386 ),
    inference(constrained_superposition,[],[f12930,f721]) ).

thf(f40062,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_386 ),
    inference(trivial_inequality_removal,[],[f40047]) ).

thf(f40132,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_175 ),
    inference(constrained_superposition,[],[f4597,f1276]) ).

thf(f40137,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_68
    | ~ spl2_175 ),
    inference(constrained_superposition,[],[f4597,f999]) ).

thf(f40142,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_175 ),
    inference(trivial_inequality_removal,[],[f40137]) ).

thf(f40144,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_175 ),
    inference(trivial_inequality_removal,[],[f40132]) ).

thf(f40152,plain,
    ( spl2_540
    | ~ spl2_68
    | ~ spl2_175 ),
    inference(avatar_split_clause,[],[f40142,f4596,f998,f19621]) ).

thf(f40153,plain,
    ( spl2_179
    | ~ spl2_86
    | ~ spl2_175 ),
    inference(avatar_split_clause,[],[f40144,f4596,f1275,f4675]) ).

thf(f40159,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_117 ),
    inference(constrained_superposition,[],[f39394,f82]) ).

thf(f40175,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_117
    | ~ spl2_264 ),
    inference(constrained_superposition,[],[f39394,f8100]) ).

thf(f40193,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_117
    | ~ spl2_264 ),
    inference(trivial_inequality_removal,[],[f40175]) ).

thf(f40194,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_117 ),
    inference(duplicate_literal_removal,[],[f40159]) ).

thf(f40195,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_117 ),
    inference(trivial_inequality_removal,[],[f40194]) ).

thf(f40223,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_109 ),
    inference(constrained_superposition,[],[f38769,f2467]) ).

thf(f40224,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_109
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f38769,f2556]) ).

thf(f40230,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_109
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f40224]) ).

thf(f40231,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_109 ),
    inference(trivial_inequality_removal,[],[f40223]) ).

thf(f40239,definition,
    ( spl2_648
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_648])],[avatar_definition]) ).

thf(f40240,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_648 ),
    inference(avatar_component_clause,[],[f40239]) ).

thf(f40242,plain,
    ( spl2_648
    | ~ spl2_109
    | ~ spl2_116 ),
    inference(avatar_split_clause,[],[f40230,f2543,f2466,f40239]) ).

thf(f40246,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_648 ),
    inference(constrained_superposition,[],[f40240,f1046]) ).

thf(f40250,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_648 ),
    inference(trivial_inequality_removal,[],[f40246]) ).

thf(f40255,plain,
    ( spl2_103
    | ~ spl2_73
    | ~ spl2_648 ),
    inference(avatar_split_clause,[],[f40250,f40239,f1045,f2147]) ).

thf(f40260,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_103 ),
    inference(constrained_superposition,[],[f2148,f1046]) ).

thf(f40272,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_103 ),
    inference(trivial_inequality_removal,[],[f40260]) ).

thf(f40277,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_78
    | ~ spl2_109 ),
    inference(constrained_superposition,[],[f40231,f1068]) ).

thf(f40281,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_109
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f40231,f2556]) ).

thf(f40285,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_109
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f40281]) ).

thf(f40287,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_78
    | ~ spl2_109 ),
    inference(trivial_inequality_removal,[],[f40277]) ).

thf(f40295,plain,
    ( spl2_23
    | ~ spl2_109
    | ~ spl2_116 ),
    inference(avatar_split_clause,[],[f40285,f2543,f2466,f226]) ).

thf(f40296,plain,
    ( spl2_598
    | ~ spl2_78
    | ~ spl2_109 ),
    inference(avatar_split_clause,[],[f40287,f2466,f1067,f31638]) ).

thf(f40306,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_4 ),
    inference(avatar_component_clause,[],[f98]) ).

thf(f40307,plain,
    ( spl2_572
    | ~ spl2_4
    | ~ spl2_117 ),
    inference(avatar_split_clause,[],[f40195,f2548,f98,f24419]) ).

thf(f40311,plain,
    ( ~ spl2_4
    | ~ spl2_73
    | ~ spl2_103 ),
    inference(avatar_split_clause,[],[f40272,f2147,f1045,f98]) ).

thf(f40315,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( sK1 = X0 )
        | ( $true != $true ) )
    | ~ spl2_73
    | ~ spl2_204
    | ~ spl2_594 ),
    inference(constrained_superposition,[],[f39879,f38772]) ).

thf(f40323,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ sK1 )
          = $true ) )
    | ~ spl2_73
    | ~ spl2_204
    | ~ spl2_594 ),
    inference(trivial_inequality_removal,[],[f40315]) ).

thf(f40325,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( sK1 = X0 ) )
    | ~ spl2_73
    | ~ spl2_204
    | ~ spl2_419
    | ~ spl2_594 ),
    inference(forward_subsumption_resolution,[],[f40323,f13611]) ).

thf(f40354,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_268
    | ~ spl2_645 ),
    inference(constrained_superposition,[],[f39142,f11147]) ).

thf(f40363,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_268
    | ~ spl2_645 ),
    inference(duplicate_literal_removal,[],[f40354]) ).

thf(f40364,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
    | ~ spl2_268
    | ~ spl2_645 ),
    inference(trivial_inequality_removal,[],[f40363]) ).

thf(f40370,plain,
    ( spl2_152
    | ~ spl2_268
    | ~ spl2_645 ),
    inference(avatar_split_clause,[],[f40364,f39141,f8156,f3973]) ).

thf(f40375,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_106
    | spl2_288 ),
    inference(forward_subsumption_resolution,[],[f39138,f36547]) ).

thf(f40376,plain,
    ( spl2_645
    | ~ spl2_46
    | ~ spl2_106
    | spl2_288 ),
    inference(avatar_split_clause,[],[f40375,f8337,f2448,f504,f39141]) ).

thf(f40423,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_395
    | ~ spl2_490 ),
    inference(constrained_superposition,[],[f16214,f13055]) ).

thf(f40426,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_399
    | ~ spl2_490 ),
    inference(constrained_superposition,[],[f16214,f13085]) ).

thf(f40433,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_399
    | ~ spl2_490 ),
    inference(duplicate_literal_removal,[],[f40426]) ).

thf(f40434,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ sK1 ) @ X0 ) )
    | ~ spl2_399
    | ~ spl2_490 ),
    inference(trivial_inequality_removal,[],[f40433]) ).

thf(f40441,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_395
    | ~ spl2_490 ),
    inference(trivial_inequality_removal,[],[f40423]) ).

thf(f40443,plain,
    ( spl2_467
    | ~ spl2_399
    | ~ spl2_490 ),
    inference(avatar_split_clause,[],[f40434,f16213,f13084,f15479]) ).

thf(f40444,plain,
    ( spl2_574
    | ~ spl2_395
    | ~ spl2_490 ),
    inference(avatar_split_clause,[],[f40441,f16213,f13054,f24737]) ).

thf(f40446,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_79
    | ~ spl2_106 ),
    inference(constrained_superposition,[],[f1158,f2449]) ).

thf(f40458,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_79
    | ~ spl2_106 ),
    inference(trivial_inequality_removal,[],[f40446]) ).

thf(f40480,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_79
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f40458,f11147]) ).

thf(f40488,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_79
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(duplicate_literal_removal,[],[f40480]) ).

thf(f40489,plain,
    ( ! [X0: $i] :
        ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
       != $true )
    | ~ spl2_79
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f40488]) ).

thf(f40498,definition,
    ( spl2_649
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_649])],[avatar_definition]) ).

thf(f40499,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_649 ),
    inference(avatar_component_clause,[],[f40498]) ).

thf(f40509,plain,
    ( ( $true != $true )
    | ~ spl2_79
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f40489,f11147]) ).

thf(f40512,plain,
    ( $false
    | ~ spl2_79
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f40509]) ).

thf(f40513,plain,
    ( ~ spl2_79
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(avatar_contradiction_clause,[],[f40512]) ).

thf(f40538,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(constrained_superposition,[],[f38763,f1046]) ).

thf(f40542,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(trivial_inequality_removal,[],[f40538]) ).

thf(f40610,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_295
    | ~ spl2_635 ),
    inference(constrained_superposition,[],[f38495,f8435]) ).

thf(f40611,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_395
    | ~ spl2_635 ),
    inference(constrained_superposition,[],[f38495,f13055]) ).

thf(f40615,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_395
    | ~ spl2_635 ),
    inference(trivial_inequality_removal,[],[f40611]) ).

thf(f40619,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_295
    | ~ spl2_635 ),
    inference(trivial_inequality_removal,[],[f40610]) ).

thf(f40621,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_395
    | ~ spl2_399
    | ~ spl2_635 ),
    inference(forward_subsumption_resolution,[],[f40615,f13085]) ).

thf(f40622,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_284
    | ~ spl2_295
    | ~ spl2_635 ),
    inference(forward_subsumption_resolution,[],[f40619,f8324]) ).

thf(f40623,plain,
    ( spl2_478
    | ~ spl2_395
    | ~ spl2_399
    | ~ spl2_635 ),
    inference(avatar_split_clause,[],[f40621,f38494,f13084,f13054,f15773]) ).

thf(f40624,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_284
    | ~ spl2_295
    | ~ spl2_635 ),
    inference(constrained_superposition,[],[f40622,f8435]) ).

thf(f40636,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_284
    | ~ spl2_295
    | ~ spl2_635 ),
    inference(trivial_inequality_removal,[],[f40624]) ).

thf(f40647,plain,
    ( $false
    | ~ spl2_78
    | ~ spl2_284
    | ~ spl2_295
    | ~ spl2_635 ),
    inference(forward_subsumption_resolution,[],[f40636,f1068]) ).

thf(f40648,plain,
    ( ~ spl2_78
    | ~ spl2_284
    | ~ spl2_295
    | ~ spl2_635 ),
    inference(avatar_contradiction_clause,[],[f40647]) ).

thf(f40656,plain,
    ( spl2_295
    | ~ spl2_76
    | ~ spl2_386 ),
    inference(avatar_split_clause,[],[f40062,f12929,f1058,f8434]) ).

thf(f40681,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_295 ),
    inference(constrained_superposition,[],[f31673,f83]) ).

thf(f40684,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | spl2_295 ),
    inference(trivial_inequality_removal,[],[f40681]) ).

thf(f40686,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_72
    | spl2_295 ),
    inference(forward_subsumption_resolution,[],[f40684,f7885]) ).

thf(f40687,plain,
    ( spl2_384
    | spl2_72
    | spl2_295 ),
    inference(avatar_split_clause,[],[f40686,f8434,f1042,f12921]) ).

thf(f40752,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_395
    | ~ spl2_478 ),
    inference(constrained_superposition,[],[f15774,f13055]) ).

thf(f40755,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_389
    | ~ spl2_478 ),
    inference(constrained_superposition,[],[f15774,f13030]) ).

thf(f40762,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_389
    | ~ spl2_478 ),
    inference(trivial_inequality_removal,[],[f40755]) ).

thf(f40763,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_395
    | ~ spl2_478 ),
    inference(trivial_inequality_removal,[],[f40752]) ).

thf(f40769,plain,
    ( $false
    | ~ spl2_116
    | ~ spl2_389
    | ~ spl2_478 ),
    inference(forward_subsumption_resolution,[],[f40762,f2556]) ).

thf(f40770,plain,
    ( ~ spl2_116
    | ~ spl2_389
    | ~ spl2_478 ),
    inference(avatar_contradiction_clause,[],[f40769]) ).

thf(f40771,plain,
    ( $false
    | ~ spl2_78
    | ~ spl2_395
    | ~ spl2_478 ),
    inference(forward_subsumption_resolution,[],[f40763,f1068]) ).

thf(f40772,plain,
    ( ~ spl2_78
    | ~ spl2_395
    | ~ spl2_478 ),
    inference(avatar_contradiction_clause,[],[f40771]) ).

thf(f40834,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f529,f10198]) ).

thf(f40843,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f40834]) ).

thf(f40869,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_259
    | ~ spl2_496 ),
    inference(constrained_superposition,[],[f16669,f8083]) ).

thf(f40885,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_259
    | ~ spl2_496 ),
    inference(trivial_inequality_removal,[],[f40869]) ).

thf(f40905,plain,
    ( $false
    | ~ spl2_259
    | ~ spl2_269
    | ~ spl2_496 ),
    inference(forward_subsumption_resolution,[],[f40885,f8160]) ).

thf(f40906,plain,
    ( ~ spl2_259
    | ~ spl2_269
    | ~ spl2_496 ),
    inference(avatar_contradiction_clause,[],[f40905]) ).

thf(f40913,definition,
    ( spl2_650
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_650])],[avatar_definition]) ).

thf(f40914,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_650 ),
    inference(avatar_component_clause,[],[f40913]) ).

thf(f40959,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_494 ),
    inference(constrained_superposition,[],[f16617,f81]) ).

thf(f40963,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_494 ),
    inference(trivial_inequality_removal,[],[f40959]) ).

thf(f40972,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_21
    | ~ spl2_637 ),
    inference(constrained_superposition,[],[f38667,f9421]) ).

thf(f40985,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_21
    | ~ spl2_637 ),
    inference(trivial_inequality_removal,[],[f40972]) ).

thf(f41027,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | ~ spl2_39
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f38777,f1276]) ).

thf(f41033,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f41027]) ).

thf(f41065,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_626 ),
    inference(constrained_superposition,[],[f37130,f999]) ).

thf(f41072,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_626 ),
    inference(trivial_inequality_removal,[],[f41065]) ).

thf(f41083,plain,
    ( spl2_37
    | ~ spl2_68
    | ~ spl2_626 ),
    inference(avatar_split_clause,[],[f41072,f37129,f998,f356]) ).

thf(f41125,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_520 ),
    inference(constrained_superposition,[],[f18224,f51]) ).

thf(f41127,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_520 ),
    inference(trivial_inequality_removal,[],[f41125]) ).

thf(f41137,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_247
    | ~ spl2_627 ),
    inference(constrained_superposition,[],[f37138,f7985]) ).

thf(f41148,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_627 ),
    inference(trivial_inequality_removal,[],[f41137]) ).

thf(f41153,plain,
    ( spl2_37
    | ~ spl2_247
    | ~ spl2_627 ),
    inference(avatar_split_clause,[],[f41148,f37137,f7984,f356]) ).

thf(f41164,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_260
    | ~ spl2_370 ),
    inference(constrained_superposition,[],[f11870,f8086]) ).

thf(f41170,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_260
    | ~ spl2_370 ),
    inference(trivial_inequality_removal,[],[f41164]) ).

thf(f41177,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_260
    | ~ spl2_370
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f41170,f13085]) ).

thf(f41179,plain,
    ( spl2_478
    | ~ spl2_260
    | ~ spl2_370
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f41177,f13084,f11869,f8085,f15773]) ).

thf(f41181,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_86
    | ~ spl2_254 ),
    inference(forward_subsumption_resolution,[],[f39422,f1276]) ).

thf(f41183,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_117
    | ~ spl2_264
    | spl2_400 ),
    inference(forward_subsumption_resolution,[],[f40193,f14018]) ).

thf(f41189,plain,
    ( spl2_340
    | spl2_269
    | ~ spl2_86
    | ~ spl2_254 ),
    inference(avatar_split_clause,[],[f41181,f8025,f1275,f8159,f10860]) ).

thf(f41190,plain,
    ( ~ spl2_292
    | ~ spl2_117
    | ~ spl2_264
    | spl2_400 ),
    inference(avatar_split_clause,[],[f41183,f13088,f8099,f2548,f8422]) ).

thf(f41222,plain,
    ( ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_73
    | ~ spl2_204
    | ~ spl2_292
    | ~ spl2_419
    | ~ spl2_594 ),
    inference(constrained_superposition,[],[f40325,f8423]) ).

thf(f41231,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_73
    | ~ spl2_204
    | ~ spl2_292
    | ~ spl2_419
    | ~ spl2_594 ),
    inference(trivial_inequality_removal,[],[f41222]) ).

thf(f41232,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_73
    | ~ spl2_204
    | ~ spl2_292
    | ~ spl2_419
    | ~ spl2_594 ),
    inference(forward_subsumption_resolution,[],[f41231,f41]) ).

thf(f41233,plain,
    ( spl2_253
    | ~ spl2_73
    | ~ spl2_204
    | ~ spl2_292
    | ~ spl2_419
    | ~ spl2_594 ),
    inference(avatar_split_clause,[],[f41232,f28936,f13610,f8422,f5146,f1045,f8022]) ).

thf(f41234,plain,
    ( spl2_278
    | ~ spl2_89
    | ~ spl2_58
    | ~ spl2_520 ),
    inference(avatar_split_clause,[],[f41127,f18223,f964,f1337,f8232]) ).

thf(f41235,plain,
    ( ~ spl2_68
    | spl2_594
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(avatar_split_clause,[],[f40542,f2543,f1045,f28936,f998]) ).

thf(f41243,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_204
    | spl2_273 ),
    inference(forward_subsumption_resolution,[],[f39544,f41]) ).

thf(f41244,plain,
    ( spl2_594
    | ~ spl2_68
    | ~ spl2_39
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f41033,f1275,f385,f998,f28936]) ).

thf(f41250,plain,
    ( spl2_247
    | spl2_245
    | ~ spl2_204
    | spl2_273 ),
    inference(avatar_split_clause,[],[f41243,f8175,f5146,f7978,f7984]) ).

thf(f41294,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_204
    | spl2_284 ),
    inference(constrained_superposition,[],[f17803,f38772]) ).

thf(f41297,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_204
    | spl2_284 ),
    inference(trivial_inequality_removal,[],[f41294]) ).

thf(f41299,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_204
    | spl2_255
    | spl2_284 ),
    inference(forward_subsumption_resolution,[],[f41297,f32522]) ).

thf(f41300,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_204
    | spl2_255
    | spl2_284 ),
    inference(forward_subsumption_resolution,[],[f41299,f41]) ).

thf(f41301,plain,
    ( spl2_253
    | ~ spl2_204
    | spl2_255
    | spl2_284 ),
    inference(avatar_split_clause,[],[f41300,f8323,f8028,f5146,f8022]) ).

thf(f41303,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_72
    | spl2_288 ),
    inference(forward_subsumption_resolution,[],[f39215,f7885]) ).

thf(f41310,plain,
    ( ~ spl2_58
    | ~ spl2_14
    | spl2_638
    | spl2_73
    | spl2_72 ),
    inference(avatar_split_clause,[],[f38805,f1042,f1045,f38740,f157,f964]) ).

thf(f41315,plain,
    ( spl2_40
    | ~ spl2_21
    | ~ spl2_637 ),
    inference(avatar_split_clause,[],[f40985,f38666,f207,f389]) ).

thf(f41321,plain,
    ( spl2_73
    | spl2_4
    | ~ spl2_500 ),
    inference(avatar_split_clause,[],[f39571,f16710,f98,f1045]) ).

thf(f41322,plain,
    ( spl2_399
    | ~ spl2_63
    | ~ spl2_494 ),
    inference(avatar_split_clause,[],[f40963,f16616,f981,f13084]) ).

thf(f41331,plain,
    ( spl2_106
    | spl2_72
    | spl2_288 ),
    inference(avatar_split_clause,[],[f41303,f8337,f1042,f2448]) ).

thf(f41343,plain,
    ( ~ spl2_16
    | spl2_389
    | spl2_15
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f39492,f13224,f187,f13029,f190]) ).

thf(f41395,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f1360,f995]) ).

thf(f41399,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f41395]) ).

thf(f41559,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f30,f8324]) ).

thf(f41561,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f41559]) ).

thf(f41624,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_57 ),
    inference(constrained_superposition,[],[f962,f81]) ).

thf(f41633,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_57 ),
    inference(trivial_inequality_removal,[],[f41624]) ).

thf(f41744,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f985,f50]) ).

thf(f41751,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f41744]) ).

thf(f41754,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_268
    | ~ spl2_276 ),
    inference(constrained_superposition,[],[f8217,f11147]) ).

thf(f41759,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_268
    | ~ spl2_276 ),
    inference(trivial_inequality_removal,[],[f41754]) ).

thf(f41764,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_268
    | ~ spl2_276 ),
    inference(forward_subsumption_resolution,[],[f41759,f201]) ).

thf(f41765,plain,
    ( ~ spl2_19
    | ~ spl2_268
    | ~ spl2_276 ),
    inference(avatar_contradiction_clause,[],[f41764]) ).

thf(f41772,plain,
    ( spl2_288
    | ~ spl2_396
    | spl2_415
    | ~ spl2_314 ),
    inference(avatar_split_clause,[],[f40843,f10197,f13379,f13058,f8337]) ).

thf(f41777,plain,
    ( ~ spl2_8
    | spl2_68
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f41751,f984,f998,f111]) ).

thf(f41864,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_21
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f38911,f8338]) ).

thf(f41865,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f95,f8338]) ).

thf(f41889,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_21
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f41864]) ).

thf(f41894,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f41865]) ).

thf(f41899,plain,
    ( spl2_112
    | ~ spl2_111
    | ~ spl2_21
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f41889,f8337,f207,f2474,f2477]) ).

thf(f41903,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | spl2_26
    | ~ spl2_288 ),
    inference(forward_subsumption_resolution,[],[f41894,f5365]) ).

thf(f41909,plain,
    ( ~ spl2_111
    | spl2_112
    | spl2_26
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f41903,f8337,f244,f2477,f2474]) ).

thf(f42106,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_112
    | ~ spl2_262 ),
    inference(constrained_superposition,[],[f2478,f8093]) ).

thf(f42133,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_112
    | ~ spl2_262 ),
    inference(trivial_inequality_removal,[],[f42106]) ).

thf(f42149,plain,
    ( $false
    | ~ spl2_112
    | ~ spl2_262
    | ~ spl2_289 ),
    inference(forward_subsumption_resolution,[],[f42133,f8342]) ).

thf(f42150,plain,
    ( ~ spl2_112
    | ~ spl2_262
    | ~ spl2_289 ),
    inference(avatar_contradiction_clause,[],[f42149]) ).

thf(f42282,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_105
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f2306,f7988]) ).

thf(f42291,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_105
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f42282]) ).

thf(f42294,plain,
    ( spl2_589
    | ~ spl2_105
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f42291,f7987,f2305,f28002]) ).

thf(f42357,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ~ spl2_7
    | spl2_26 ),
    inference(constrained_superposition,[],[f5365,f109]) ).

thf(f42358,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_7
    | spl2_73 ),
    inference(constrained_superposition,[],[f3001,f109]) ).

thf(f42359,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_7
    | spl2_273 ),
    inference(constrained_superposition,[],[f17852,f109]) ).

thf(f42361,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_7
    | ~ spl2_48 ),
    inference(constrained_superposition,[],[f514,f109]) ).

thf(f42367,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_7
    | spl2_73 ),
    inference(trivial_inequality_removal,[],[f42358]) ).

thf(f42371,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_7
    | spl2_26 ),
    inference(trivial_inequality_removal,[],[f42357]) ).

thf(f42372,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_7
    | ~ spl2_48 ),
    inference(duplicate_literal_removal,[],[f42361]) ).

thf(f42373,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_7
    | ~ spl2_48 ),
    inference(trivial_inequality_removal,[],[f42372]) ).

thf(f42376,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_7
    | spl2_273 ),
    inference(trivial_inequality_removal,[],[f42359]) ).

thf(f42377,plain,
    ( $false
    | ~ spl2_7
    | spl2_68
    | spl2_73 ),
    inference(forward_subsumption_resolution,[],[f42367,f1190]) ).

thf(f42378,plain,
    ( ~ spl2_7
    | spl2_68
    | spl2_73 ),
    inference(avatar_contradiction_clause,[],[f42377]) ).

thf(f42381,plain,
    ( $false
    | ~ spl2_7
    | spl2_26
    | spl2_39 ),
    inference(forward_subsumption_resolution,[],[f42371,f1472]) ).

thf(f42382,plain,
    ( ~ spl2_7
    | spl2_26
    | spl2_39 ),
    inference(avatar_contradiction_clause,[],[f42381]) ).

thf(f42383,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ sK1 ) @ X0 ) )
    | ~ spl2_7
    | spl2_39
    | ~ spl2_48 ),
    inference(forward_subsumption_resolution,[],[f42373,f1472]) ).

thf(f42384,plain,
    ( $false
    | ~ spl2_7
    | spl2_247
    | spl2_273 ),
    inference(forward_subsumption_resolution,[],[f42376,f8208]) ).

thf(f42385,plain,
    ( ~ spl2_7
    | spl2_247
    | spl2_273 ),
    inference(avatar_contradiction_clause,[],[f42384]) ).

thf(f42389,plain,
    ( spl2_467
    | ~ spl2_7
    | spl2_39
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f42383,f513,f385,f108,f15479]) ).

thf(f42395,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_259
    | ~ spl2_477 ),
    inference(constrained_superposition,[],[f15725,f8083]) ).

thf(f42402,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f841,f8083]) ).

thf(f42424,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f42402]) ).

thf(f42431,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_259
    | ~ spl2_477 ),
    inference(trivial_inequality_removal,[],[f42395]) ).

thf(f42439,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_259
    | spl2_292 ),
    inference(forward_subsumption_resolution,[],[f42424,f33727]) ).

thf(f42443,plain,
    ( ~ spl2_343
    | ~ spl2_259
    | ~ spl2_477 ),
    inference(avatar_split_clause,[],[f42431,f15724,f8082,f10940]) ).

thf(f42448,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_259
    | spl2_292
    | spl2_393 ),
    inference(forward_subsumption_resolution,[],[f42439,f33729]) ).

thf(f42453,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_259
    | spl2_292
    | spl2_393 ),
    inference(forward_subsumption_resolution,[],[f42448,f41]) ).

thf(f42457,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_259
    | spl2_292
    | spl2_389
    | spl2_393 ),
    inference(forward_subsumption_resolution,[],[f42453,f13218]) ).

thf(f42461,plain,
    ( ~ spl2_297
    | ~ spl2_259
    | spl2_292
    | spl2_389
    | spl2_393 ),
    inference(avatar_split_clause,[],[f42457,f13047,f13029,f8422,f8082,f8444]) ).

thf(f42472,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f31,f8342]) ).

thf(f42488,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f42472]) ).

thf(f42501,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_396
    | ~ spl2_478 ),
    inference(constrained_superposition,[],[f15774,f13059]) ).

thf(f42514,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_396
    | ~ spl2_478 ),
    inference(trivial_inequality_removal,[],[f42501]) ).

thf(f42519,plain,
    ( $false
    | ~ spl2_49
    | ~ spl2_396
    | ~ spl2_478 ),
    inference(forward_subsumption_resolution,[],[f42514,f2145]) ).

thf(f42520,plain,
    ( ~ spl2_49
    | ~ spl2_396
    | ~ spl2_478 ),
    inference(avatar_contradiction_clause,[],[f42519]) ).

thf(f42535,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_263
    | ~ spl2_579 ),
    inference(constrained_superposition,[],[f26094,f8097]) ).

thf(f42542,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ~ spl2_263 ),
    inference(constrained_superposition,[],[f841,f8097]) ).

thf(f42561,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_263
    | ~ spl2_579 ),
    inference(trivial_inequality_removal,[],[f42535]) ).

thf(f42566,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_263 ),
    inference(trivial_inequality_removal,[],[f42542]) ).

thf(f42578,plain,
    ( ~ spl2_422
    | ~ spl2_263
    | ~ spl2_579 ),
    inference(avatar_split_clause,[],[f42561,f26093,f8096,f13627]) ).

thf(f42581,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_263
    | spl2_292 ),
    inference(forward_subsumption_resolution,[],[f42566,f33727]) ).

thf(f42590,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_263
    | spl2_292
    | spl2_393 ),
    inference(forward_subsumption_resolution,[],[f42581,f33729]) ).

thf(f42595,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_263
    | spl2_292
    | spl2_393 ),
    inference(forward_subsumption_resolution,[],[f42590,f41]) ).

thf(f42598,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | spl2_255
    | ~ spl2_263
    | spl2_292
    | spl2_393 ),
    inference(forward_subsumption_resolution,[],[f42595,f32522]) ).

thf(f42600,plain,
    ( ~ spl2_473
    | spl2_255
    | ~ spl2_263
    | spl2_292
    | spl2_393 ),
    inference(avatar_split_clause,[],[f42598,f13047,f8422,f8096,f8028,f15705]) ).

thf(f42623,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_349
    | ~ spl2_577 ),
    inference(constrained_superposition,[],[f25621,f10984]) ).

thf(f42625,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_316
    | ~ spl2_577 ),
    inference(constrained_superposition,[],[f25621,f10206]) ).

thf(f42633,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_349
    | ~ spl2_577 ),
    inference(trivial_inequality_removal,[],[f42623]) ).

thf(f42636,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_316
    | ~ spl2_577 ),
    inference(trivial_inequality_removal,[],[f42625]) ).

thf(f42639,plain,
    ( spl2_574
    | ~ spl2_349
    | ~ spl2_577 ),
    inference(avatar_split_clause,[],[f42633,f25620,f10983,f24737]) ).

thf(f42641,plain,
    ( spl2_478
    | ~ spl2_316
    | ~ spl2_577 ),
    inference(avatar_split_clause,[],[f42636,f25620,f10205,f15773]) ).

thf(f42682,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_617 ),
    inference(constrained_superposition,[],[f35779,f722]) ).

thf(f42689,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_617 ),
    inference(trivial_inequality_removal,[],[f42682]) ).

thf(f42827,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_25
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f234,f8424]) ).

thf(f42828,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_25
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f234,f13059]) ).

thf(f42829,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_25 ),
    inference(constrained_superposition,[],[f234,f201]) ).

thf(f42832,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_19
    | ~ spl2_25 ),
    inference(duplicate_literal_removal,[],[f42829]) ).

thf(f42833,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_25 ),
    inference(trivial_inequality_removal,[],[f42832]) ).

thf(f42835,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_25
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f42827]) ).

thf(f42839,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_25
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f42828]) ).

thf(f42840,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_25 ),
    inference(forward_subsumption_resolution,[],[f42833,f99]) ).

thf(f42841,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_25
    | ~ spl2_284
    | ~ spl2_286 ),
    inference(forward_subsumption_resolution,[],[f42835,f8324]) ).

thf(f42842,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_25
    | ~ spl2_396
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f42839,f13085]) ).

thf(f42843,plain,
    ( spl2_555
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_25 ),
    inference(avatar_split_clause,[],[f42840,f233,f200,f98,f21015]) ).

thf(f42844,plain,
    ( spl2_510
    | ~ spl2_25
    | ~ spl2_284
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f42841,f8331,f8323,f233,f17801]) ).

thf(f42845,plain,
    ( spl2_412
    | ~ spl2_25
    | ~ spl2_396
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f42842,f13084,f13058,f233,f13230]) ).

thf(f42946,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_650 ),
    inference(constrained_superposition,[],[f40914,f50]) ).

thf(f42949,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_650 ),
    inference(trivial_inequality_removal,[],[f42946]) ).

thf(f42956,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | spl2_389
    | ~ spl2_650 ),
    inference(forward_subsumption_resolution,[],[f42949,f13218]) ).

thf(f42957,plain,
    ( ~ spl2_297
    | spl2_389
    | ~ spl2_650 ),
    inference(avatar_split_clause,[],[f42956,f40913,f13029,f8444]) ).

thf(f43094,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_67
    | ~ spl2_157 ),
    inference(constrained_superposition,[],[f4194,f995]) ).

thf(f43100,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_67
    | ~ spl2_157 ),
    inference(trivial_inequality_removal,[],[f43094]) ).

thf(f43105,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_157 ),
    inference(forward_subsumption_resolution,[],[f43100,f99]) ).

thf(f43108,plain,
    ( spl2_104
    | ~ spl2_4
    | ~ spl2_67
    | ~ spl2_157 ),
    inference(avatar_split_clause,[],[f43105,f4193,f994,f98,f2266]) ).

thf(f43109,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_86
    | ~ spl2_626 ),
    inference(constrained_superposition,[],[f37130,f1276]) ).

thf(f43116,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_626 ),
    inference(duplicate_literal_removal,[],[f43109]) ).

thf(f43117,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_626 ),
    inference(trivial_inequality_removal,[],[f43116]) ).

thf(f43130,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_86
    | ~ spl2_286
    | ~ spl2_626 ),
    inference(constrained_superposition,[],[f43117,f8424]) ).

thf(f43131,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_86
    | ~ spl2_396
    | ~ spl2_626 ),
    inference(constrained_superposition,[],[f43117,f13059]) ).

thf(f43132,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_19
    | ~ spl2_86
    | ~ spl2_626 ),
    inference(constrained_superposition,[],[f43117,f201]) ).

thf(f43136,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_86
    | ~ spl2_286
    | ~ spl2_626 ),
    inference(trivial_inequality_removal,[],[f43130]) ).

thf(f43140,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_86
    | ~ spl2_396
    | ~ spl2_626 ),
    inference(trivial_inequality_removal,[],[f43131]) ).

thf(f43141,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_19
    | ~ spl2_86
    | ~ spl2_626 ),
    inference(trivial_inequality_removal,[],[f43132]) ).

thf(f43142,plain,
    ( $false
    | ~ spl2_86
    | ~ spl2_284
    | ~ spl2_286
    | ~ spl2_626 ),
    inference(forward_subsumption_resolution,[],[f43136,f8324]) ).

thf(f43143,plain,
    ( ~ spl2_86
    | ~ spl2_284
    | ~ spl2_286
    | ~ spl2_626 ),
    inference(avatar_contradiction_clause,[],[f43142]) ).

thf(f43144,plain,
    ( $false
    | ~ spl2_86
    | ~ spl2_396
    | ~ spl2_399
    | ~ spl2_626 ),
    inference(forward_subsumption_resolution,[],[f43140,f13085]) ).

thf(f43145,plain,
    ( ~ spl2_86
    | ~ spl2_396
    | ~ spl2_399
    | ~ spl2_626 ),
    inference(avatar_contradiction_clause,[],[f43144]) ).

thf(f43146,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_86
    | ~ spl2_626 ),
    inference(forward_subsumption_resolution,[],[f43141,f99]) ).

thf(f43147,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_86
    | ~ spl2_626 ),
    inference(avatar_contradiction_clause,[],[f43146]) ).

thf(f43148,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_627 ),
    inference(constrained_superposition,[],[f37138,f11147]) ).

thf(f43156,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_268
    | ~ spl2_627 ),
    inference(duplicate_literal_removal,[],[f43148]) ).

thf(f43157,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_627 ),
    inference(trivial_inequality_removal,[],[f43156]) ).

thf(f43172,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_268
    | ~ spl2_396
    | ~ spl2_627 ),
    inference(constrained_superposition,[],[f43157,f13059]) ).

thf(f43173,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_19
    | ~ spl2_268
    | ~ spl2_627 ),
    inference(constrained_superposition,[],[f43157,f201]) ).

thf(f43175,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_268
    | ~ spl2_396
    | ~ spl2_627 ),
    inference(trivial_inequality_removal,[],[f43172]) ).

thf(f43179,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_19
    | ~ spl2_268
    | ~ spl2_627 ),
    inference(trivial_inequality_removal,[],[f43173]) ).

thf(f43185,plain,
    ( $false
    | ~ spl2_268
    | ~ spl2_396
    | ~ spl2_399
    | ~ spl2_627 ),
    inference(forward_subsumption_resolution,[],[f43175,f13085]) ).

thf(f43186,plain,
    ( ~ spl2_268
    | ~ spl2_396
    | ~ spl2_399
    | ~ spl2_627 ),
    inference(avatar_contradiction_clause,[],[f43185]) ).

thf(f43187,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_268
    | ~ spl2_627 ),
    inference(forward_subsumption_resolution,[],[f43179,f99]) ).

thf(f43188,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_268
    | ~ spl2_627 ),
    inference(avatar_contradiction_clause,[],[f43187]) ).

thf(f43193,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_531 ),
    inference(constrained_superposition,[],[f18937,f50]) ).

thf(f43201,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_531 ),
    inference(trivial_inequality_removal,[],[f43193]) ).

thf(f43208,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_314
    | ~ spl2_485 ),
    inference(constrained_superposition,[],[f16175,f10198]) ).

thf(f43209,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_265
    | ~ spl2_485 ),
    inference(constrained_superposition,[],[f16175,f8104]) ).

thf(f43212,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_485 ),
    inference(trivial_inequality_removal,[],[f43208]) ).

thf(f43216,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_485 ),
    inference(trivial_inequality_removal,[],[f43209]) ).

thf(f43219,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_265
    | ~ spl2_284
    | ~ spl2_485 ),
    inference(forward_subsumption_resolution,[],[f43216,f8324]) ).

thf(f43220,plain,
    ( spl2_622
    | ~ spl2_265
    | ~ spl2_284
    | ~ spl2_485 ),
    inference(avatar_split_clause,[],[f43219,f16174,f8323,f8103,f36493]) ).

thf(f43294,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_349
    | ~ spl2_536 ),
    inference(constrained_superposition,[],[f18966,f10984]) ).

thf(f43306,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_349
    | ~ spl2_536 ),
    inference(duplicate_literal_removal,[],[f43294]) ).

thf(f43307,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_349
    | ~ spl2_536 ),
    inference(trivial_inequality_removal,[],[f43306]) ).

thf(f43310,plain,
    ( spl2_598
    | ~ spl2_349
    | ~ spl2_536 ),
    inference(avatar_split_clause,[],[f43307,f18965,f10983,f31638]) ).

thf(f43331,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_409 ),
    inference(constrained_superposition,[],[f13210,f8100]) ).

thf(f43337,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_409 ),
    inference(trivial_inequality_removal,[],[f43331]) ).

thf(f43342,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_409 ),
    inference(forward_subsumption_resolution,[],[f43337,f8324]) ).

thf(f43345,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_409 ),
    inference(constrained_superposition,[],[f43342,f8100]) ).

thf(f43360,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_409 ),
    inference(trivial_inequality_removal,[],[f43345]) ).

thf(f43365,plain,
    ( $false
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_402
    | ~ spl2_409 ),
    inference(forward_subsumption_resolution,[],[f43360,f13096]) ).

thf(f43366,plain,
    ( ~ spl2_264
    | ~ spl2_284
    | ~ spl2_402
    | ~ spl2_409 ),
    inference(avatar_contradiction_clause,[],[f43365]) ).

thf(f43422,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(constrained_superposition,[],[f33737,f8424]) ).

thf(f43431,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(duplicate_literal_removal,[],[f43422]) ).

thf(f43432,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(trivial_inequality_removal,[],[f43431]) ).

thf(f43448,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(constrained_superposition,[],[f43432,f8424]) ).

thf(f43449,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_286
    | ~ spl2_396
    | ~ spl2_613 ),
    inference(constrained_superposition,[],[f43432,f13059]) ).

thf(f43450,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_19
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(constrained_superposition,[],[f43432,f201]) ).

thf(f43454,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_19
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(trivial_inequality_removal,[],[f43450]) ).

thf(f43456,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_286
    | ~ spl2_396
    | ~ spl2_613 ),
    inference(trivial_inequality_removal,[],[f43449]) ).

thf(f43459,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(trivial_inequality_removal,[],[f43448]) ).

thf(f43460,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(forward_subsumption_resolution,[],[f43454,f99]) ).

thf(f43461,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(avatar_contradiction_clause,[],[f43460]) ).

thf(f43462,plain,
    ( $false
    | ~ spl2_286
    | ~ spl2_396
    | ~ spl2_399
    | ~ spl2_613 ),
    inference(forward_subsumption_resolution,[],[f43456,f13085]) ).

thf(f43463,plain,
    ( ~ spl2_286
    | ~ spl2_396
    | ~ spl2_399
    | ~ spl2_613 ),
    inference(avatar_contradiction_clause,[],[f43462]) ).

thf(f43464,plain,
    ( $false
    | ~ spl2_284
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(forward_subsumption_resolution,[],[f43459,f8324]) ).

thf(f43465,plain,
    ( ~ spl2_284
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(avatar_contradiction_clause,[],[f43464]) ).

thf(f43476,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_24
    | ~ spl2_127 ),
    inference(constrained_superposition,[],[f344,f3071]) ).

thf(f43519,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_24
    | ~ spl2_127 ),
    inference(trivial_inequality_removal,[],[f43476]) ).

thf(f43544,plain,
    ( $false
    | spl2_24
    | spl2_39
    | ~ spl2_127 ),
    inference(forward_subsumption_resolution,[],[f43519,f1472]) ).

thf(f43545,plain,
    ( spl2_24
    | spl2_39
    | ~ spl2_127 ),
    inference(avatar_contradiction_clause,[],[f43544]) ).

thf(f43563,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_295
    | ~ spl2_532 ),
    inference(constrained_superposition,[],[f18944,f8435]) ).

thf(f43565,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_284
    | ~ spl2_532 ),
    inference(constrained_superposition,[],[f18944,f8324]) ).

thf(f43572,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_284
    | ~ spl2_532 ),
    inference(duplicate_literal_removal,[],[f43565]) ).

thf(f43573,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_284
    | ~ spl2_532 ),
    inference(trivial_inequality_removal,[],[f43572]) ).

thf(f43576,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_295
    | ~ spl2_532 ),
    inference(duplicate_literal_removal,[],[f43563]) ).

thf(f43577,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_295
    | ~ spl2_532 ),
    inference(trivial_inequality_removal,[],[f43576]) ).

thf(f43580,plain,
    ( spl2_598
    | ~ spl2_284
    | ~ spl2_532 ),
    inference(avatar_split_clause,[],[f43573,f18943,f8323,f31638]) ).

thf(f43581,plain,
    ( spl2_598
    | ~ spl2_295
    | ~ spl2_532 ),
    inference(avatar_split_clause,[],[f43577,f18943,f8434,f31638]) ).

thf(f43648,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_260
    | ~ spl2_341 ),
    inference(constrained_superposition,[],[f10885,f8086]) ).

thf(f43653,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_260
    | ~ spl2_341 ),
    inference(trivial_inequality_removal,[],[f43648]) ).

thf(f43659,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f43653,f13085]) ).

thf(f43661,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_260
    | ~ spl2_314
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f43659,f10198]) ).

thf(f43662,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_260
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f43659,f8086]) ).

thf(f43675,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_260
    | ~ spl2_314
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f43661]) ).

thf(f43676,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_260
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f43662]) ).

thf(f43680,plain,
    ( $false
    | ~ spl2_248
    | ~ spl2_260
    | ~ spl2_314
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f43675,f7988]) ).

thf(f43681,plain,
    ( ~ spl2_248
    | ~ spl2_260
    | ~ spl2_314
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(avatar_contradiction_clause,[],[f43680]) ).

thf(f43682,plain,
    ( $false
    | ~ spl2_254
    | ~ spl2_260
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f43676,f8026]) ).

thf(f43683,plain,
    ( ~ spl2_254
    | ~ spl2_260
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(avatar_contradiction_clause,[],[f43682]) ).

thf(f43684,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_396
    | ~ spl2_612 ),
    inference(constrained_superposition,[],[f33725,f13059]) ).

thf(f43695,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_396
    | ~ spl2_612 ),
    inference(duplicate_literal_removal,[],[f43684]) ).

thf(f43696,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_396
    | ~ spl2_612 ),
    inference(trivial_inequality_removal,[],[f43695]) ).

thf(f43712,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_19
    | ~ spl2_396
    | ~ spl2_612 ),
    inference(constrained_superposition,[],[f43696,f201]) ).

thf(f43716,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_19
    | ~ spl2_396
    | ~ spl2_612 ),
    inference(trivial_inequality_removal,[],[f43712]) ).

thf(f43724,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_396
    | ~ spl2_612 ),
    inference(forward_subsumption_resolution,[],[f43716,f99]) ).

thf(f43725,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_396
    | ~ spl2_612 ),
    inference(avatar_contradiction_clause,[],[f43724]) ).

thf(f43772,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(constrained_superposition,[],[f8167,f8104]) ).

thf(f43786,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(duplicate_literal_removal,[],[f43772]) ).

thf(f43787,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(trivial_inequality_removal,[],[f43786]) ).

thf(f43796,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_265
    | ~ spl2_271
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f43787,f10198]) ).

thf(f43797,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(constrained_superposition,[],[f43787,f8104]) ).

thf(f43798,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_265
    | ~ spl2_271
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f43796]) ).

thf(f43800,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(trivial_inequality_removal,[],[f43797]) ).

thf(f43805,plain,
    ( $false
    | ~ spl2_265
    | ~ spl2_271
    | ~ spl2_314
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f43798,f13085]) ).

thf(f43806,plain,
    ( ~ spl2_265
    | ~ spl2_271
    | ~ spl2_314
    | ~ spl2_399 ),
    inference(avatar_contradiction_clause,[],[f43805]) ).

thf(f43807,plain,
    ( $false
    | ~ spl2_265
    | ~ spl2_271
    | ~ spl2_284 ),
    inference(forward_subsumption_resolution,[],[f43800,f8324]) ).

thf(f43808,plain,
    ( ~ spl2_265
    | ~ spl2_271
    | ~ spl2_284 ),
    inference(avatar_contradiction_clause,[],[f43807]) ).

thf(f43815,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_260
    | ~ spl2_290 ),
    inference(constrained_superposition,[],[f8345,f8086]) ).

thf(f43820,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_290 ),
    inference(trivial_inequality_removal,[],[f43815]) ).

thf(f43826,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_290
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f43820,f13085]) ).

thf(f43827,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_260
    | ~ spl2_290
    | ~ spl2_396
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f43826,f13059]) ).

thf(f43829,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_260
    | ~ spl2_290
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f43826,f8086]) ).

thf(f43830,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_260
    | ~ spl2_290
    | ~ spl2_395
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f43826,f13055]) ).

thf(f43836,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_260
    | ~ spl2_290
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f43829]) ).

thf(f43838,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_260
    | ~ spl2_290
    | ~ spl2_396
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f43827]) ).

thf(f43842,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_260
    | ~ spl2_290
    | ~ spl2_395
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f43830]) ).

thf(f43845,plain,
    ( $false
    | ~ spl2_260
    | ~ spl2_261
    | ~ spl2_290
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f43836,f8090]) ).

thf(f43846,plain,
    ( ~ spl2_260
    | ~ spl2_261
    | ~ spl2_290
    | ~ spl2_399 ),
    inference(avatar_contradiction_clause,[],[f43845]) ).

thf(f43847,plain,
    ( $false
    | ~ spl2_260
    | ~ spl2_268
    | ~ spl2_290
    | ~ spl2_396
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f43838,f11147]) ).

thf(f43848,plain,
    ( ~ spl2_260
    | ~ spl2_268
    | ~ spl2_290
    | ~ spl2_396
    | ~ spl2_399 ),
    inference(avatar_contradiction_clause,[],[f43847]) ).

thf(f43849,plain,
    ( $false
    | ~ spl2_260
    | ~ spl2_290
    | ~ spl2_349
    | ~ spl2_395
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f43842,f10984]) ).

thf(f43850,plain,
    ( ~ spl2_260
    | ~ spl2_290
    | ~ spl2_349
    | ~ spl2_395
    | ~ spl2_399 ),
    inference(avatar_contradiction_clause,[],[f43849]) ).

thf(f43854,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_395
    | ~ spl2_534 ),
    inference(constrained_superposition,[],[f18953,f13055]) ).

thf(f43856,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_399
    | ~ spl2_534 ),
    inference(constrained_superposition,[],[f18953,f13085]) ).

thf(f43860,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_399
    | ~ spl2_534 ),
    inference(duplicate_literal_removal,[],[f43856]) ).

thf(f43861,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_399
    | ~ spl2_534 ),
    inference(trivial_inequality_removal,[],[f43860]) ).

thf(f43869,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_395
    | ~ spl2_534 ),
    inference(duplicate_literal_removal,[],[f43854]) ).

thf(f43870,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_395
    | ~ spl2_534 ),
    inference(trivial_inequality_removal,[],[f43869]) ).

thf(f43871,plain,
    ( spl2_598
    | ~ spl2_399
    | ~ spl2_534 ),
    inference(avatar_split_clause,[],[f43861,f18952,f13084,f31638]) ).

thf(f43872,plain,
    ( spl2_598
    | ~ spl2_395
    | ~ spl2_534 ),
    inference(avatar_split_clause,[],[f43870,f18952,f13054,f31638]) ).

thf(f43879,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_264
    | ~ spl2_541 ),
    inference(constrained_superposition,[],[f19726,f8100]) ).

thf(f43889,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_541 ),
    inference(trivial_inequality_removal,[],[f43879]) ).

thf(f43890,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_541 ),
    inference(forward_subsumption_resolution,[],[f43889,f8324]) ).

thf(f43893,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_541 ),
    inference(constrained_superposition,[],[f43890,f8100]) ).

thf(f43907,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_541 ),
    inference(trivial_inequality_removal,[],[f43893]) ).

thf(f43913,plain,
    ( $false
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_392
    | ~ spl2_541 ),
    inference(forward_subsumption_resolution,[],[f43907,f13043]) ).

thf(f43914,plain,
    ( ~ spl2_264
    | ~ spl2_284
    | ~ spl2_392
    | ~ spl2_541 ),
    inference(avatar_contradiction_clause,[],[f43913]) ).

thf(f43995,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_107 ),
    inference(constrained_superposition,[],[f30,f2452]) ).

thf(f43997,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_107 ),
    inference(trivial_inequality_removal,[],[f43995]) ).

thf(f44007,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f41561,f8086]) ).

thf(f44014,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f44007]) ).

thf(f44017,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_260
    | ~ spl2_284
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f44014,f13085]) ).

thf(f44018,plain,
    ( spl2_575
    | ~ spl2_260
    | ~ spl2_284
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f44017,f13084,f8323,f8085,f24945]) ).

thf(f44026,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_284
    | ~ spl2_292 ),
    inference(constrained_superposition,[],[f41561,f8423]) ).

thf(f44027,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_292
    | ~ spl2_323 ),
    inference(constrained_superposition,[],[f10303,f8423]) ).

thf(f44031,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_284
    | ~ spl2_292 ),
    inference(trivial_inequality_removal,[],[f44026]) ).

thf(f44032,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_292
    | ~ spl2_323 ),
    inference(trivial_inequality_removal,[],[f44027]) ).

thf(f44036,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_284
    | ~ spl2_292 ),
    inference(forward_subsumption_resolution,[],[f44031,f99]) ).

thf(f44037,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_292
    | ~ spl2_323 ),
    inference(forward_subsumption_resolution,[],[f44032,f995]) ).

thf(f44038,plain,
    ( spl2_104
    | ~ spl2_67
    | ~ spl2_292
    | ~ spl2_323 ),
    inference(avatar_split_clause,[],[f44037,f10302,f8422,f994,f2266]) ).

thf(f44046,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_4
    | ~ spl2_284
    | ~ spl2_292
    | ~ spl2_402 ),
    inference(constrained_superposition,[],[f44036,f13096]) ).

thf(f44050,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_284
    | ~ spl2_292 ),
    inference(constrained_superposition,[],[f44036,f2556]) ).

thf(f44056,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_284
    | ~ spl2_292 ),
    inference(duplicate_literal_removal,[],[f44050]) ).

thf(f44057,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ X0 )
       != $true )
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_284
    | ~ spl2_292 ),
    inference(trivial_inequality_removal,[],[f44056]) ).

thf(f44061,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_4
    | ~ spl2_284
    | ~ spl2_292
    | ~ spl2_402 ),
    inference(trivial_inequality_removal,[],[f44046]) ).

thf(f44067,plain,
    ( spl2_555
    | ~ spl2_4
    | ~ spl2_116
    | ~ spl2_284
    | ~ spl2_292 ),
    inference(avatar_split_clause,[],[f44057,f8422,f8323,f2543,f98,f21015]) ).

thf(f44070,plain,
    ( spl2_412
    | ~ spl2_4
    | ~ spl2_284
    | ~ spl2_292
    | ~ spl2_402 ),
    inference(avatar_split_clause,[],[f44061,f13095,f8422,f8323,f98,f13230]) ).

thf(f44072,definition,
    ( spl2_652
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_652])],[avatar_definition]) ).

thf(f44073,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_652 ),
    inference(avatar_component_clause,[],[f44072]) ).

thf(f44074,plain,
    ( spl2_652
    | ~ spl2_399
    | ~ spl2_314
    | ~ spl2_485 ),
    inference(avatar_split_clause,[],[f43212,f16174,f10197,f13084,f44072]) ).

thf(f44116,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_400
    | ~ spl2_425 ),
    inference(constrained_superposition,[],[f13694,f13089]) ).

thf(f44117,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_425 ),
    inference(constrained_superposition,[],[f13694,f51]) ).

thf(f44121,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_400
    | ~ spl2_425 ),
    inference(trivial_inequality_removal,[],[f44116]) ).

thf(f44122,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_425 ),
    inference(trivial_inequality_removal,[],[f44117]) ).

thf(f44125,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_289
    | ~ spl2_400
    | ~ spl2_425 ),
    inference(forward_subsumption_resolution,[],[f44121,f8342]) ).

thf(f44126,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | spl2_393
    | ~ spl2_425 ),
    inference(forward_subsumption_resolution,[],[f44122,f33729]) ).

thf(f44127,plain,
    ( ~ spl2_63
    | ~ spl2_289
    | ~ spl2_400
    | ~ spl2_425 ),
    inference(avatar_split_clause,[],[f44125,f13693,f13088,f8341,f981]) ).

thf(f44128,plain,
    ( ~ spl2_343
    | ~ spl2_58
    | spl2_393
    | ~ spl2_425 ),
    inference(avatar_split_clause,[],[f44126,f13693,f13047,f964,f10940]) ).

thf(f44135,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_462 ),
    inference(constrained_superposition,[],[f15099,f8100]) ).

thf(f44140,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_462 ),
    inference(trivial_inequality_removal,[],[f44135]) ).

thf(f44146,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_462 ),
    inference(forward_subsumption_resolution,[],[f44140,f8324]) ).

thf(f44149,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_462 ),
    inference(constrained_superposition,[],[f44146,f8100]) ).

thf(f44163,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_462 ),
    inference(trivial_inequality_removal,[],[f44149]) ).

thf(f44169,plain,
    ( $false
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_316
    | ~ spl2_462 ),
    inference(forward_subsumption_resolution,[],[f44163,f10206]) ).

thf(f44170,plain,
    ( ~ spl2_264
    | ~ spl2_284
    | ~ spl2_316
    | ~ spl2_462 ),
    inference(avatar_contradiction_clause,[],[f44169]) ).

thf(f44172,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(constrained_superposition,[],[f18259,f10198]) ).

thf(f44180,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(duplicate_literal_removal,[],[f44172]) ).

thf(f44181,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(trivial_inequality_removal,[],[f44180]) ).

thf(f44195,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(constrained_superposition,[],[f44181,f8104]) ).

thf(f44202,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(trivial_inequality_removal,[],[f44195]) ).

thf(f44204,plain,
    ( $false
    | ~ spl2_265
    | ~ spl2_284
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(forward_subsumption_resolution,[],[f44202,f8324]) ).

thf(f44205,plain,
    ( ~ spl2_265
    | ~ spl2_284
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(avatar_contradiction_clause,[],[f44204]) ).

thf(f44210,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_407 ),
    inference(constrained_superposition,[],[f13181,f171]) ).

thf(f44217,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_407 ),
    inference(duplicate_literal_removal,[],[f44210]) ).

thf(f44218,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_407 ),
    inference(trivial_inequality_removal,[],[f44217]) ).

thf(f44224,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f42488,f170]) ).

thf(f44226,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f42488,f81]) ).

thf(f44232,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f44226]) ).

thf(f44235,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f44224]) ).

thf(f44259,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_261
    | ~ spl2_342 ),
    inference(constrained_superposition,[],[f10890,f8090]) ).

thf(f44261,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_342 ),
    inference(trivial_inequality_removal,[],[f44259]) ).

thf(f44269,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_342
    | ~ spl2_349 ),
    inference(forward_subsumption_resolution,[],[f44261,f10984]) ).

thf(f44273,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_261
    | ~ spl2_342
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f44269,f8090]) ).

thf(f44280,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_261
    | ~ spl2_342
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f44273]) ).

thf(f44289,plain,
    ( $false
    | ~ spl2_254
    | ~ spl2_261
    | ~ spl2_342
    | ~ spl2_349 ),
    inference(forward_subsumption_resolution,[],[f44280,f8026]) ).

thf(f44290,plain,
    ( ~ spl2_254
    | ~ spl2_261
    | ~ spl2_342
    | ~ spl2_349 ),
    inference(avatar_contradiction_clause,[],[f44289]) ).

thf(f44295,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f14391,f82]) ).

thf(f44297,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f14391,f171]) ).

thf(f44301,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f44297]) ).

thf(f44305,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true ) )
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f44295]) ).

thf(f44331,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_551 ),
    inference(constrained_superposition,[],[f20756,f50]) ).

thf(f44335,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_551 ),
    inference(trivial_inequality_removal,[],[f44331]) ).

thf(f44341,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_255
    | ~ spl2_551 ),
    inference(forward_subsumption_resolution,[],[f44335,f32522]) ).

thf(f44345,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_255
    | ~ spl2_551 ),
    inference(constrained_superposition,[],[f44341,f722]) ).

thf(f44353,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | spl2_255
    | ~ spl2_551 ),
    inference(trivial_inequality_removal,[],[f44345]) ).

thf(f44357,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_265
    | ~ spl2_272 ),
    inference(constrained_superposition,[],[f8172,f8104]) ).

thf(f44369,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_265
    | ~ spl2_272 ),
    inference(duplicate_literal_removal,[],[f44357]) ).

thf(f44370,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_265
    | ~ spl2_272 ),
    inference(trivial_inequality_removal,[],[f44369]) ).

thf(f44379,definition,
    ( spl2_653
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_653])],[avatar_definition]) ).

thf(f44380,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_653 ),
    inference(avatar_component_clause,[],[f44379]) ).

thf(f44389,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_265
    | ~ spl2_272
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f44370,f10198]) ).

thf(f44390,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_265
    | ~ spl2_272 ),
    inference(constrained_superposition,[],[f44370,f8104]) ).

thf(f44392,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_265
    | ~ spl2_272
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f44389]) ).

thf(f44397,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_265
    | ~ spl2_272 ),
    inference(trivial_inequality_removal,[],[f44390]) ).

thf(f44399,plain,
    ( $false
    | ~ spl2_265
    | ~ spl2_272
    | ~ spl2_314
    | ~ spl2_395 ),
    inference(forward_subsumption_resolution,[],[f44392,f13055]) ).

thf(f44400,plain,
    ( ~ spl2_265
    | ~ spl2_272
    | ~ spl2_314
    | ~ spl2_395 ),
    inference(avatar_contradiction_clause,[],[f44399]) ).

thf(f44401,plain,
    ( $false
    | ~ spl2_265
    | ~ spl2_272
    | ~ spl2_295 ),
    inference(forward_subsumption_resolution,[],[f44397,f8435]) ).

thf(f44402,plain,
    ( ~ spl2_265
    | ~ spl2_272
    | ~ spl2_295 ),
    inference(avatar_contradiction_clause,[],[f44401]) ).

thf(f44452,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_264
    | ~ spl2_438 ),
    inference(constrained_superposition,[],[f14016,f8100]) ).

thf(f44456,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_264
    | ~ spl2_438 ),
    inference(duplicate_literal_removal,[],[f44452]) ).

thf(f44457,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_438 ),
    inference(trivial_inequality_removal,[],[f44456]) ).

thf(f44463,plain,
    ( ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
       != $true )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_438 ),
    inference(forward_subsumption_resolution,[],[f44457,f8324]) ).

thf(f44469,plain,
    ( ( $true != $true )
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_438 ),
    inference(constrained_superposition,[],[f44463,f8324]) ).

thf(f44477,plain,
    ( $false
    | ~ spl2_264
    | ~ spl2_284
    | ~ spl2_438 ),
    inference(trivial_inequality_removal,[],[f44469]) ).

thf(f44478,plain,
    ( ~ spl2_264
    | ~ spl2_284
    | ~ spl2_438 ),
    inference(avatar_contradiction_clause,[],[f44477]) ).

thf(f44494,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_441 ),
    inference(constrained_superposition,[],[f14359,f8086]) ).

thf(f44505,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_441 ),
    inference(duplicate_literal_removal,[],[f44494]) ).

thf(f44506,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_441 ),
    inference(trivial_inequality_removal,[],[f44505]) ).

thf(f44514,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_254
    | ~ spl2_260
    | ~ spl2_441 ),
    inference(constrained_superposition,[],[f44506,f8026]) ).

thf(f44516,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_260
    | ~ spl2_261
    | ~ spl2_441 ),
    inference(constrained_superposition,[],[f44506,f8090]) ).

thf(f44517,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_254
    | ~ spl2_260
    | ~ spl2_441 ),
    inference(trivial_inequality_removal,[],[f44514]) ).

thf(f44519,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_260
    | ~ spl2_261
    | ~ spl2_441 ),
    inference(trivial_inequality_removal,[],[f44516]) ).

thf(f44568,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_107
    | ~ spl2_261 ),
    inference(constrained_superposition,[],[f43997,f8090]) ).

thf(f44576,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_107
    | ~ spl2_261 ),
    inference(trivial_inequality_removal,[],[f44568]) ).

thf(f44583,plain,
    ( spl2_271
    | ~ spl2_107
    | ~ spl2_261 ),
    inference(avatar_split_clause,[],[f44576,f8089,f2451,f8166]) ).

thf(f44677,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_266
    | ~ spl2_617 ),
    inference(constrained_superposition,[],[f35779,f8107]) ).

thf(f44678,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_266
    | ~ spl2_608 ),
    inference(constrained_superposition,[],[f33014,f8107]) ).

thf(f44711,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_266
    | ~ spl2_617 ),
    inference(trivial_inequality_removal,[],[f44677]) ).

thf(f44724,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_266
    | ~ spl2_608 ),
    inference(trivial_inequality_removal,[],[f44678]) ).

thf(f44729,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_266
    | ~ spl2_269
    | ~ spl2_617 ),
    inference(forward_subsumption_resolution,[],[f44711,f8160]) ).

thf(f44733,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_266
    | ~ spl2_289
    | ~ spl2_608 ),
    inference(forward_subsumption_resolution,[],[f44724,f8342]) ).

thf(f44737,plain,
    ( ~ spl2_297
    | ~ spl2_266
    | ~ spl2_269
    | ~ spl2_617 ),
    inference(avatar_split_clause,[],[f44729,f35778,f8159,f8106,f8444]) ).

thf(f44739,plain,
    ( ~ spl2_297
    | ~ spl2_266
    | ~ spl2_289
    | ~ spl2_608 ),
    inference(avatar_split_clause,[],[f44733,f33013,f8341,f8106,f8444]) ).

thf(f44745,definition,
    ( spl2_654
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_654])],[avatar_definition]) ).

thf(f44746,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_654 ),
    inference(avatar_component_clause,[],[f44745]) ).

thf(f44750,definition,
    ( spl2_655
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_655])],[avatar_definition]) ).

thf(f44751,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_655 ),
    inference(avatar_component_clause,[],[f44750]) ).

thf(f44754,plain,
    ( spl2_68
    | spl2_124
    | ~ spl2_531 ),
    inference(avatar_split_clause,[],[f43201,f18936,f2991,f998]) ).

thf(f44847,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_265 ),
    inference(constrained_superposition,[],[f529,f8104]) ).

thf(f44860,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_265 ),
    inference(trivial_inequality_removal,[],[f44847]) ).

thf(f44884,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_313
    | ~ spl2_474 ),
    inference(constrained_superposition,[],[f15711,f10195]) ).

thf(f44892,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f841,f10195]) ).

thf(f44901,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f44892]) ).

thf(f44921,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_313
    | ~ spl2_474 ),
    inference(trivial_inequality_removal,[],[f44884]) ).

thf(f44935,plain,
    ( $false
    | ~ spl2_115
    | ~ spl2_313
    | ~ spl2_474 ),
    inference(forward_subsumption_resolution,[],[f44921,f8168]) ).

thf(f44936,plain,
    ( ~ spl2_115
    | ~ spl2_313
    | ~ spl2_474 ),
    inference(avatar_contradiction_clause,[],[f44935]) ).

thf(f44950,plain,
    ( ~ spl2_273
    | ~ spl2_260
    | ~ spl2_261
    | ~ spl2_441 ),
    inference(avatar_split_clause,[],[f44519,f14358,f8089,f8085,f8175]) ).

thf(f44951,plain,
    ( spl2_152
    | spl2_433
    | ~ spl2_96
    | ~ spl2_407 ),
    inference(avatar_split_clause,[],[f44218,f13180,f1519,f13812,f3973]) ).

thf(f44956,definition,
    ( spl2_656
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_656])],[avatar_definition]) ).

thf(f44957,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_656 ),
    inference(avatar_component_clause,[],[f44956]) ).

thf(f44963,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_313
    | spl2_389 ),
    inference(forward_subsumption_resolution,[],[f44901,f13218]) ).

thf(f44966,definition,
    ( spl2_657
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_657])],[avatar_definition]) ).

thf(f44967,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_657 ),
    inference(avatar_component_clause,[],[f44966]) ).

thf(f44980,plain,
    ( spl2_75
    | ~ spl2_19
    | ~ spl2_67
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f41399,f1275,f994,f200,f1052]) ).

thf(f44983,definition,
    ( spl2_658
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_658])],[avatar_definition]) ).

thf(f44984,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_658 ),
    inference(avatar_component_clause,[],[f44983]) ).

thf(f44985,plain,
    ( spl2_658
    | spl2_284
    | ~ spl2_289 ),
    inference(avatar_split_clause,[],[f44232,f8341,f8323,f44983]) ).

thf(f44986,plain,
    ( ~ spl2_286
    | spl2_287
    | spl2_288
    | ~ spl2_265 ),
    inference(avatar_split_clause,[],[f44860,f8103,f8337,f8334,f8331]) ).

thf(f44989,definition,
    ( spl2_659
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_659])],[avatar_definition]) ).

thf(f44990,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_659 ),
    inference(avatar_component_clause,[],[f44989]) ).

thf(f44991,plain,
    ( spl2_659
    | spl2_286
    | ~ spl2_289 ),
    inference(avatar_split_clause,[],[f44235,f8341,f8331,f44989]) ).

thf(f45000,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_313
    | spl2_389 ),
    inference(forward_subsumption_resolution,[],[f44963,f41]) ).

thf(f45002,plain,
    ( spl2_393
    | spl2_278
    | ~ spl2_321
    | ~ spl2_313
    | spl2_389 ),
    inference(avatar_split_clause,[],[f45000,f13029,f10194,f10276,f8232,f13047]) ).

thf(f45005,plain,
    ( spl2_115
    | ~ spl2_49
    | spl2_48
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f44305,f8156,f513,f516,f2504]) ).

thf(f45006,plain,
    ( spl2_248
    | ~ spl2_58
    | ~ spl2_76
    | ~ spl2_617 ),
    inference(avatar_split_clause,[],[f42689,f35778,f1058,f964,f7987]) ).

thf(f45009,plain,
    ( ~ spl2_73
    | ~ spl2_254
    | ~ spl2_260
    | ~ spl2_441 ),
    inference(avatar_split_clause,[],[f44517,f14358,f8085,f8025,f1045]) ).

thf(f45011,plain,
    ( ~ spl2_76
    | ~ spl2_58
    | spl2_254
    | spl2_255
    | ~ spl2_551 ),
    inference(avatar_split_clause,[],[f44353,f20755,f8028,f8025,f964,f1058]) ).

thf(f45148,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_260
    | ~ spl2_292
    | ~ spl2_441 ),
    inference(constrained_superposition,[],[f44506,f8423]) ).

thf(f45151,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_260
    | ~ spl2_292
    | ~ spl2_441 ),
    inference(trivial_inequality_removal,[],[f45148]) ).

thf(f45154,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_260
    | ~ spl2_292
    | ~ spl2_441 ),
    inference(forward_subsumption_resolution,[],[f45151,f99]) ).

thf(f45155,plain,
    ( ~ spl2_4
    | ~ spl2_260
    | ~ spl2_292
    | ~ spl2_441 ),
    inference(avatar_contradiction_clause,[],[f45154]) ).

thf(f45161,definition,
    ( spl2_660
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_660])],[avatar_definition]) ).

thf(f45162,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_660 ),
    inference(avatar_component_clause,[],[f45161]) ).

thf(f45163,plain,
    ( spl2_660
    | spl2_255
    | ~ spl2_551 ),
    inference(avatar_split_clause,[],[f44335,f20755,f8028,f45161]) ).

thf(f45166,plain,
    ( spl2_73
    | ~ spl2_14
    | ~ spl2_57 ),
    inference(avatar_split_clause,[],[f41633,f961,f157,f1045]) ).

thf(f45211,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_255
    | ~ spl2_622 ),
    inference(constrained_superposition,[],[f36494,f8029]) ).

thf(f45215,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_255
    | ~ spl2_622 ),
    inference(trivial_inequality_removal,[],[f45211]) ).

thf(f45217,plain,
    ( $false
    | ~ spl2_39
    | ~ spl2_255
    | ~ spl2_622 ),
    inference(forward_subsumption_resolution,[],[f45215,f386]) ).

thf(f45218,plain,
    ( ~ spl2_39
    | ~ spl2_255
    | ~ spl2_622 ),
    inference(avatar_contradiction_clause,[],[f45217]) ).

thf(f45339,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(constrained_superposition,[],[f8332,f83]) ).

thf(f45342,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f45339]) ).

thf(f45344,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f45342,f41]) ).

thf(f45429,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_207
    | spl2_286 ),
    inference(constrained_superposition,[],[f5159,f45344]) ).

thf(f45470,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_207
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f45429]) ).

thf(f45539,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_598 ),
    inference(constrained_superposition,[],[f31639,f8435]) ).

thf(f45540,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f1360,f8435]) ).

thf(f45545,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_598 ),
    inference(trivial_inequality_removal,[],[f45539]) ).

thf(f45548,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_86
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f45540]) ).

thf(f45550,plain,
    ( $false
    | ~ spl2_284
    | ~ spl2_295
    | ~ spl2_598 ),
    inference(forward_subsumption_resolution,[],[f45545,f8324]) ).

thf(f45551,plain,
    ( ~ spl2_284
    | ~ spl2_295
    | ~ spl2_598 ),
    inference(avatar_contradiction_clause,[],[f45550]) ).

thf(f45627,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_94 ),
    inference(constrained_superposition,[],[f1475,f386]) ).

thf(f45638,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_94 ),
    inference(trivial_inequality_removal,[],[f45627]) ).

thf(f45784,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_86
    | ~ spl2_395 ),
    inference(constrained_superposition,[],[f1360,f13055]) ).

thf(f45785,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_395 ),
    inference(constrained_superposition,[],[f529,f13055]) ).

thf(f45790,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_395 ),
    inference(trivial_inequality_removal,[],[f45785]) ).

thf(f45792,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_86
    | ~ spl2_395 ),
    inference(trivial_inequality_removal,[],[f45784]) ).

thf(f45878,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_316
    | ~ spl2_589 ),
    inference(constrained_superposition,[],[f28003,f10206]) ).

thf(f45882,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_316
    | ~ spl2_589 ),
    inference(trivial_inequality_removal,[],[f45878]) ).

thf(f45888,plain,
    ( $false
    | ~ spl2_316
    | ~ spl2_402
    | ~ spl2_589 ),
    inference(forward_subsumption_resolution,[],[f45882,f13096]) ).

thf(f45889,plain,
    ( ~ spl2_316
    | ~ spl2_402
    | ~ spl2_589 ),
    inference(avatar_contradiction_clause,[],[f45888]) ).

thf(f45907,plain,
    ( spl2_419
    | ~ spl2_39
    | ~ spl2_94 ),
    inference(avatar_split_clause,[],[f45638,f1474,f385,f13610]) ).

thf(f45909,plain,
    ( spl2_292
    | ~ spl2_289
    | ~ spl2_207
    | spl2_286 ),
    inference(avatar_split_clause,[],[f45470,f8331,f5158,f8341,f8422]) ).

thf(f45911,plain,
    ( ~ spl2_396
    | spl2_542
    | ~ spl2_86
    | ~ spl2_395 ),
    inference(avatar_split_clause,[],[f45792,f13054,f1275,f19729,f13058]) ).

thf(f45914,plain,
    ( spl2_78
    | ~ spl2_89
    | ~ spl2_8
    | spl2_500
    | spl2_72 ),
    inference(avatar_split_clause,[],[f38806,f1042,f16710,f111,f1337,f1067]) ).

thf(f45918,plain,
    ( ~ spl2_396
    | spl2_417
    | spl2_76
    | ~ spl2_395 ),
    inference(avatar_split_clause,[],[f45790,f13054,f1058,f13408,f13058]) ).

thf(f45949,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_26
    | ~ spl2_94 ),
    inference(constrained_superposition,[],[f1475,f245]) ).

thf(f45954,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_26
    | ~ spl2_94 ),
    inference(trivial_inequality_removal,[],[f45949]) ).

thf(f46011,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_26
    | ~ spl2_94
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f45954,f8324]) ).

thf(f46014,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_26
    | ~ spl2_94
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f46011]) ).

thf(f46016,plain,
    ( ~ spl2_292
    | ~ spl2_26
    | ~ spl2_94
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f46014,f8323,f1474,f244,f8422]) ).

thf(f46036,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f841,f1059]) ).

thf(f46059,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f46036]) ).

thf(f46142,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f95,f8338]) ).

thf(f46167,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f46142]) ).

thf(f46176,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_393
    | ~ spl2_419 ),
    inference(constrained_superposition,[],[f13611,f13048]) ).

thf(f46180,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_393
    | ~ spl2_419 ),
    inference(trivial_inequality_removal,[],[f46176]) ).

thf(f46181,plain,
    ( ~ spl2_389
    | ~ spl2_393
    | ~ spl2_419 ),
    inference(avatar_split_clause,[],[f46180,f13610,f13047,f13029]) ).

thf(f46275,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f30,f10984]) ).

thf(f46278,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f46275]) ).

thf(f46325,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_39
    | ~ spl2_179 ),
    inference(constrained_superposition,[],[f4676,f386]) ).

thf(f46331,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_39
    | ~ spl2_179 ),
    inference(trivial_inequality_removal,[],[f46325]) ).

thf(f46344,plain,
    ( spl2_26
    | spl2_112
    | ~ spl2_111
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f46167,f8337,f2474,f2477,f244]) ).

thf(f46348,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true != $true ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f30,f99]) ).

thf(f46349,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f46348]) ).

thf(f46373,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f31,f9421]) ).

thf(f46385,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f46373]) ).

thf(f46464,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f30,f13059]) ).

thf(f46465,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f46464]) ).

thf(f46530,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_112 ),
    inference(constrained_superposition,[],[f2478,f50]) ).

thf(f46538,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_112 ),
    inference(trivial_inequality_removal,[],[f46530]) ).

thf(f46553,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f14391,f8104]) ).

thf(f46560,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f46553]) ).

thf(f46567,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f14391,f10198]) ).

thf(f46572,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f46567]) ).

thf(f46575,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_314
    | ~ spl2_396 ),
    inference(forward_subsumption_resolution,[],[f46572,f13059]) ).

thf(f46576,plain,
    ( spl2_542
    | ~ spl2_268
    | ~ spl2_314
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f46575,f13058,f10197,f8156,f19729]) ).

thf(f46629,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_76
    | ~ spl2_124 ),
    inference(constrained_superposition,[],[f2992,f1059]) ).

thf(f46637,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_76
    | ~ spl2_124 ),
    inference(trivial_inequality_removal,[],[f46629]) ).

thf(f46656,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_175 ),
    inference(constrained_superposition,[],[f4597,f1046]) ).

thf(f46665,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_175 ),
    inference(trivial_inequality_removal,[],[f46656]) ).

thf(f46676,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_39
    | ~ spl2_73
    | ~ spl2_175 ),
    inference(constrained_superposition,[],[f46665,f386]) ).

thf(f46685,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_39
    | ~ spl2_73
    | ~ spl2_175 ),
    inference(trivial_inequality_removal,[],[f46676]) ).

thf(f46690,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_39
    | ~ spl2_73
    | ~ spl2_175 ),
    inference(forward_subsumption_resolution,[],[f46685,f99]) ).

thf(f46691,plain,
    ( ~ spl2_4
    | ~ spl2_39
    | ~ spl2_73
    | ~ spl2_175 ),
    inference(avatar_contradiction_clause,[],[f46690]) ).

thf(f46704,plain,
    ( ~ spl2_286
    | spl2_377
    | ~ spl2_265
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f46560,f8156,f8103,f12148,f8331]) ).

thf(f46707,plain,
    ( ~ spl2_286
    | spl2_377
    | ~ spl2_86
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f45548,f8434,f1275,f12148,f8331]) ).

thf(f46710,plain,
    ( ~ spl2_19
    | ~ spl2_39
    | ~ spl2_179 ),
    inference(avatar_split_clause,[],[f46331,f4675,f385,f200]) ).

thf(f46712,plain,
    ( ~ spl2_16
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_124 ),
    inference(avatar_split_clause,[],[f46637,f2991,f1058,f229,f190]) ).

thf(f46714,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | spl2_67
    | ~ spl2_76 ),
    inference(forward_subsumption_resolution,[],[f46059,f16058]) ).

thf(f46735,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_67
    | ~ spl2_76 ),
    inference(forward_subsumption_resolution,[],[f46714,f41]) ).

thf(f46749,plain,
    ( ~ spl2_58
    | spl2_19
    | spl2_39
    | spl2_67
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f46735,f1058,f994,f385,f200,f964]) ).

thf(f46767,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_19 ),
    inference(constrained_superposition,[],[f30,f201]) ).

thf(f46768,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_19 ),
    inference(trivial_inequality_removal,[],[f46767]) ).

thf(f46816,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_278 ),
    inference(constrained_superposition,[],[f30,f8233]) ).

thf(f46818,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) ) )
    | ~ spl2_278 ),
    inference(trivial_inequality_removal,[],[f46816]) ).

thf(f46865,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_57 ),
    inference(constrained_superposition,[],[f962,f170]) ).

thf(f46873,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_57 ),
    inference(trivial_inequality_removal,[],[f46865]) ).

thf(f46889,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f30,f8424]) ).

thf(f46890,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f46889]) ).

thf(f46899,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_349
    | ~ spl2_598 ),
    inference(constrained_superposition,[],[f31639,f10984]) ).

thf(f46905,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_349
    | ~ spl2_598 ),
    inference(trivial_inequality_removal,[],[f46899]) ).

thf(f47272,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_110 ),
    inference(constrained_superposition,[],[f2471,f722]) ).

thf(f47278,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_110 ),
    inference(trivial_inequality_removal,[],[f47272]) ).

thf(f47348,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_658 ),
    inference(constrained_superposition,[],[f44984,f722]) ).

thf(f47349,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_269
    | ~ spl2_658 ),
    inference(constrained_superposition,[],[f44984,f8160]) ).

thf(f47352,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_658 ),
    inference(trivial_inequality_removal,[],[f47348]) ).

thf(f47356,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_269
    | ~ spl2_658 ),
    inference(trivial_inequality_removal,[],[f47349]) ).

thf(f47369,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_19
    | ~ spl2_625 ),
    inference(constrained_superposition,[],[f36601,f201]) ).

thf(f47372,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_19
    | ~ spl2_625 ),
    inference(trivial_inequality_removal,[],[f47369]) ).

thf(f47382,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_625 ),
    inference(forward_subsumption_resolution,[],[f47372,f99]) ).

thf(f47384,plain,
    ( spl2_456
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_625 ),
    inference(avatar_split_clause,[],[f47382,f36600,f200,f98,f14791]) ).

thf(f47386,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_21
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f46385,f1059]) ).

thf(f47404,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_21
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f47386]) ).

thf(f47488,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_395
    | ~ spl2_542 ),
    inference(constrained_superposition,[],[f19730,f13055]) ).

thf(f47499,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_395
    | ~ spl2_542 ),
    inference(trivial_inequality_removal,[],[f47488]) ).

thf(f47550,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f46349,f82]) ).

thf(f47552,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f46349,f1068]) ).

thf(f47562,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f47550]) ).

thf(f47567,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_78 ),
    inference(trivial_inequality_removal,[],[f47552]) ).

thf(f47588,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_78
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f47567,f7988]) ).

thf(f47592,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_73
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f47567,f1046]) ).

thf(f47599,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_73
    | ~ spl2_78 ),
    inference(duplicate_literal_removal,[],[f47592]) ).

thf(f47600,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_73
    | ~ spl2_78 ),
    inference(trivial_inequality_removal,[],[f47599]) ).

thf(f47608,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_78
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f47588]) ).

thf(f47610,plain,
    ( spl2_23
    | ~ spl2_4
    | ~ spl2_73
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f47600,f1067,f1045,f98,f226]) ).

thf(f47613,plain,
    ( spl2_550
    | ~ spl2_4
    | ~ spl2_78
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f47608,f7987,f1067,f98,f20469]) ).

thf(f47684,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_656 ),
    inference(constrained_superposition,[],[f44957,f722]) ).

thf(f47687,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_656 ),
    inference(constrained_superposition,[],[f44957,f51]) ).

thf(f47688,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_656 ),
    inference(trivial_inequality_removal,[],[f47684]) ).

thf(f47691,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_656 ),
    inference(trivial_inequality_removal,[],[f47687]) ).

thf(f47714,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_269
    | ~ spl2_654 ),
    inference(constrained_superposition,[],[f44746,f8160]) ).

thf(f47718,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_269
    | ~ spl2_654 ),
    inference(trivial_inequality_removal,[],[f47714]) ).

thf(f47730,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_655 ),
    inference(constrained_superposition,[],[f44751,f51]) ).

thf(f47737,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_655 ),
    inference(trivial_inequality_removal,[],[f47730]) ).

thf(f47738,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_292
    | ~ spl2_655 ),
    inference(forward_subsumption_resolution,[],[f47737,f33727]) ).

thf(f47739,plain,
    ( ~ spl2_16
    | ~ spl2_89
    | spl2_292
    | ~ spl2_655 ),
    inference(avatar_split_clause,[],[f47738,f44750,f8422,f1337,f190]) ).

thf(f47740,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_19 ),
    inference(constrained_superposition,[],[f46768,f171]) ).

thf(f47748,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_19 ),
    inference(trivial_inequality_removal,[],[f47740]) ).

thf(f47750,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_396
    | ~ spl2_430 ),
    inference(constrained_superposition,[],[f13726,f13059]) ).

thf(f47766,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_396
    | ~ spl2_430 ),
    inference(trivial_inequality_removal,[],[f47750]) ).

thf(f47771,definition,
    ( spl2_661
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_661])],[avatar_definition]) ).

thf(f47772,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_661 ),
    inference(avatar_component_clause,[],[f47771]) ).

thf(f47774,plain,
    ( spl2_661
    | ~ spl2_396
    | ~ spl2_430 ),
    inference(avatar_split_clause,[],[f47766,f13725,f13058,f47771]) ).

thf(f47776,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_295
    | ~ spl2_661 ),
    inference(constrained_superposition,[],[f47772,f8435]) ).

thf(f47777,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_265
    | ~ spl2_661 ),
    inference(constrained_superposition,[],[f47772,f8104]) ).

thf(f47787,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_265
    | ~ spl2_661 ),
    inference(trivial_inequality_removal,[],[f47777]) ).

thf(f47790,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_661 ),
    inference(trivial_inequality_removal,[],[f47776]) ).

thf(f47794,plain,
    ( $false
    | ~ spl2_265
    | ~ spl2_268
    | ~ spl2_661 ),
    inference(forward_subsumption_resolution,[],[f47787,f11147]) ).

thf(f47795,plain,
    ( ~ spl2_265
    | ~ spl2_268
    | ~ spl2_661 ),
    inference(avatar_contradiction_clause,[],[f47794]) ).

thf(f47797,plain,
    ( $false
    | ~ spl2_86
    | ~ spl2_295
    | ~ spl2_661 ),
    inference(forward_subsumption_resolution,[],[f47790,f1276]) ).

thf(f47798,plain,
    ( ~ spl2_86
    | ~ spl2_295
    | ~ spl2_661 ),
    inference(avatar_contradiction_clause,[],[f47797]) ).

thf(f47804,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_524 ),
    inference(constrained_superposition,[],[f18674,f170]) ).

thf(f47815,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_524 ),
    inference(trivial_inequality_removal,[],[f47804]) ).

thf(f47844,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_570 ),
    inference(constrained_superposition,[],[f23821,f51]) ).

thf(f47845,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_570 ),
    inference(trivial_inequality_removal,[],[f47844]) ).

thf(f47872,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_254
    | ~ spl2_341 ),
    inference(constrained_superposition,[],[f10885,f8026]) ).

thf(f47876,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_254
    | ~ spl2_341 ),
    inference(duplicate_literal_removal,[],[f47872]) ).

thf(f47877,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_254
    | ~ spl2_341 ),
    inference(trivial_inequality_removal,[],[f47876]) ).

thf(f47884,plain,
    ( ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
       != $true )
    | ~ spl2_73
    | ~ spl2_254
    | ~ spl2_341 ),
    inference(forward_subsumption_resolution,[],[f47877,f1046]) ).

thf(f47887,plain,
    ( ( $true != $true )
    | ~ spl2_73
    | ~ spl2_254
    | ~ spl2_341 ),
    inference(constrained_superposition,[],[f47884,f8026]) ).

thf(f47901,plain,
    ( $false
    | ~ spl2_73
    | ~ spl2_254
    | ~ spl2_341 ),
    inference(trivial_inequality_removal,[],[f47887]) ).

thf(f47902,plain,
    ( ~ spl2_73
    | ~ spl2_254
    | ~ spl2_341 ),
    inference(avatar_contradiction_clause,[],[f47901]) ).

thf(f47925,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(constrained_superposition,[],[f8167,f8104]) ).

thf(f47937,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(duplicate_literal_removal,[],[f47925]) ).

thf(f47938,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(trivial_inequality_removal,[],[f47937]) ).

thf(f47944,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_248
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(constrained_superposition,[],[f47938,f7988]) ).

thf(f47951,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_248
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(trivial_inequality_removal,[],[f47944]) ).

thf(f47956,plain,
    ( $false
    | ~ spl2_73
    | ~ spl2_248
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(forward_subsumption_resolution,[],[f47951,f1046]) ).

thf(f47957,plain,
    ( ~ spl2_73
    | ~ spl2_248
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(avatar_contradiction_clause,[],[f47956]) ).

thf(f47965,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_254
    | ~ spl2_290 ),
    inference(constrained_superposition,[],[f8345,f8026]) ).

thf(f47975,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_254
    | ~ spl2_290 ),
    inference(trivial_inequality_removal,[],[f47965]) ).

thf(f47977,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_254
    | ~ spl2_290 ),
    inference(forward_subsumption_resolution,[],[f47975,f1046]) ).

thf(f47984,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ sK1 )
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_268
    | ~ spl2_547 ),
    inference(constrained_superposition,[],[f14391,f19885]) ).

thf(f48002,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_268
    | ~ spl2_547 ),
    inference(trivial_inequality_removal,[],[f47984]) ).

thf(f48011,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_254
    | ~ spl2_261
    | ~ spl2_290 ),
    inference(constrained_superposition,[],[f47977,f8090]) ).

thf(f48021,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_254
    | ~ spl2_261
    | ~ spl2_290 ),
    inference(trivial_inequality_removal,[],[f48011]) ).

thf(f48027,plain,
    ( $false
    | ~ spl2_73
    | ~ spl2_254
    | ~ spl2_261
    | ~ spl2_290 ),
    inference(forward_subsumption_resolution,[],[f48021,f8026]) ).

thf(f48028,plain,
    ( ~ spl2_73
    | ~ spl2_254
    | ~ spl2_261
    | ~ spl2_290 ),
    inference(avatar_contradiction_clause,[],[f48027]) ).

thf(f48033,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(constrained_superposition,[],[f18259,f10198]) ).

thf(f48042,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(duplicate_literal_removal,[],[f48033]) ).

thf(f48043,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(trivial_inequality_removal,[],[f48042]) ).

thf(f48053,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_248
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(constrained_superposition,[],[f48043,f7988]) ).

thf(f48056,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_278
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(constrained_superposition,[],[f48043,f8233]) ).

thf(f48059,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_278
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(trivial_inequality_removal,[],[f48056]) ).

thf(f48060,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_248
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(trivial_inequality_removal,[],[f48053]) ).

thf(f48066,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_278
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(forward_subsumption_resolution,[],[f48059,f99]) ).

thf(f48067,plain,
    ( ~ spl2_4
    | ~ spl2_278
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(avatar_contradiction_clause,[],[f48066]) ).

thf(f48068,plain,
    ( $false
    | ~ spl2_73
    | ~ spl2_248
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(forward_subsumption_resolution,[],[f48060,f1046]) ).

thf(f48069,plain,
    ( ~ spl2_73
    | ~ spl2_248
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(avatar_contradiction_clause,[],[f48068]) ).

thf(f48122,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_278 ),
    inference(constrained_superposition,[],[f46818,f8090]) ).

thf(f48129,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_278 ),
    inference(trivial_inequality_removal,[],[f48122]) ).

thf(f48175,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_278
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f48129,f8435]) ).

thf(f48176,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_265
    | ~ spl2_278 ),
    inference(constrained_superposition,[],[f48129,f8104]) ).

thf(f48183,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_265
    | ~ spl2_278 ),
    inference(duplicate_literal_removal,[],[f48176]) ).

thf(f48184,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_265
    | ~ spl2_278 ),
    inference(trivial_inequality_removal,[],[f48183]) ).

thf(f48192,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_261
    | ~ spl2_278
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f48175]) ).

thf(f48195,plain,
    ( spl2_653
    | ~ spl2_261
    | ~ spl2_278
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f48192,f8434,f8232,f8089,f44379]) ).

thf(f48197,definition,
    ( spl2_662
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_662])],[avatar_definition]) ).

thf(f48198,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_662 ),
    inference(avatar_component_clause,[],[f48197]) ).

thf(f48201,plain,
    ( spl2_662
    | ~ spl2_261
    | ~ spl2_265
    | ~ spl2_278 ),
    inference(avatar_split_clause,[],[f48184,f8232,f8103,f8089,f48197]) ).

thf(f48221,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_285
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f46890,f8328]) ).

thf(f48222,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f46890,f82]) ).

thf(f48223,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_286
    | ~ spl2_547 ),
    inference(constrained_superposition,[],[f46890,f19885]) ).

thf(f48232,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f48222]) ).

thf(f48235,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_286
    | ~ spl2_547 ),
    inference(trivial_inequality_removal,[],[f48223]) ).

thf(f48237,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_285
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f48221]) ).

thf(f48402,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_649 ),
    inference(constrained_superposition,[],[f40499,f82]) ).

thf(f48412,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_649 ),
    inference(trivial_inequality_removal,[],[f48402]) ).

thf(f48420,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_116
    | ~ spl2_649 ),
    inference(forward_subsumption_resolution,[],[f48412,f2556]) ).

thf(f48423,plain,
    ( $false
    | spl2_24
    | ~ spl2_116
    | ~ spl2_649 ),
    inference(forward_subsumption_resolution,[],[f48420,f344]) ).

thf(f48424,plain,
    ( spl2_24
    | ~ spl2_116
    | ~ spl2_649 ),
    inference(avatar_contradiction_clause,[],[f48423]) ).

thf(f48425,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_113
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f2490,f11147]) ).

thf(f48437,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_113
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f48425]) ).

thf(f48447,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_113
    | ~ spl2_265
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f48437,f8104]) ).

thf(f48448,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f48437,f10198]) ).

thf(f48449,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(constrained_superposition,[],[f48437,f8233]) ).

thf(f48456,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(trivial_inequality_removal,[],[f48449]) ).

thf(f48457,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f48448]) ).

thf(f48459,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_113
    | ~ spl2_265
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f48447]) ).

thf(f48461,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_19
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(forward_subsumption_resolution,[],[f48456,f201]) ).

thf(f48462,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_314
    | ~ spl2_396 ),
    inference(forward_subsumption_resolution,[],[f48457,f13059]) ).

thf(f48463,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_113
    | ~ spl2_265
    | ~ spl2_268
    | ~ spl2_286 ),
    inference(forward_subsumption_resolution,[],[f48459,f8424]) ).

thf(f48464,plain,
    ( spl2_104
    | ~ spl2_19
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(avatar_split_clause,[],[f48461,f8232,f8156,f2489,f200,f2266]) ).

thf(f48465,plain,
    ( spl2_652
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_314
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f48462,f13058,f10197,f8156,f2489,f44072]) ).

thf(f48466,plain,
    ( spl2_622
    | ~ spl2_113
    | ~ spl2_265
    | ~ spl2_268
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f48463,f8331,f8156,f8103,f2489,f36493]) ).

thf(f48468,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f46465,f82]) ).

thf(f48475,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_393
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f46465,f13048]) ).

thf(f48481,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f48468]) ).

thf(f48484,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_393
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f48475]) ).

thf(f48486,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f46278,f82]) ).

thf(f48487,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_349
    | ~ spl2_547 ),
    inference(constrained_superposition,[],[f46278,f19885]) ).

thf(f48491,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_265
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f46278,f8104]) ).

thf(f48492,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f46278,f10198]) ).

thf(f48495,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f48491]) ).

thf(f48498,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f48492]) ).

thf(f48499,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f48486]) ).

thf(f48502,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_349
    | ~ spl2_547 ),
    inference(trivial_inequality_removal,[],[f48487]) ).

thf(f48503,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_295
    | ~ spl2_349 ),
    inference(forward_subsumption_resolution,[],[f48495,f8435]) ).

thf(f48504,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_349
    | ~ spl2_395 ),
    inference(forward_subsumption_resolution,[],[f48498,f13055]) ).

thf(f48505,plain,
    ( spl2_376
    | ~ spl2_265
    | ~ spl2_295
    | ~ spl2_349 ),
    inference(avatar_split_clause,[],[f48503,f10983,f8434,f8103,f12144]) ).

thf(f48506,plain,
    ( spl2_417
    | ~ spl2_314
    | ~ spl2_349
    | ~ spl2_395 ),
    inference(avatar_split_clause,[],[f48504,f13054,f10983,f10197,f13408]) ).

thf(f48507,plain,
    ( spl2_115
    | spl2_105
    | ~ spl2_78
    | ~ spl2_349 ),
    inference(avatar_split_clause,[],[f48499,f10983,f1067,f2305,f2504]) ).

thf(f48512,plain,
    ( spl2_105
    | ~ spl2_78
    | spl2_245
    | spl2_278
    | ~ spl2_349
    | ~ spl2_547 ),
    inference(avatar_split_clause,[],[f48502,f19884,f10983,f8232,f7978,f1067,f2305]) ).

thf(f48520,plain,
    ( spl2_254
    | ~ spl2_82
    | ~ spl2_63
    | ~ spl2_658 ),
    inference(avatar_split_clause,[],[f47352,f44983,f981,f1224,f8025]) ).

thf(f48522,plain,
    ( spl2_64
    | ~ spl2_63
    | ~ spl2_21
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f47404,f1058,f207,f981,f984]) ).

thf(f48523,plain,
    ( ~ spl2_273
    | ~ spl2_349
    | ~ spl2_598 ),
    inference(avatar_split_clause,[],[f46905,f31638,f10983,f8175]) ).

thf(f48534,plain,
    ( spl2_248
    | ~ spl2_82
    | ~ spl2_60
    | ~ spl2_110 ),
    inference(avatar_split_clause,[],[f47278,f2470,f971,f1224,f7987]) ).

thf(f48535,plain,
    ( spl2_253
    | spl2_48
    | ~ spl2_49
    | spl2_292
    | ~ spl2_286
    | ~ spl2_547 ),
    inference(avatar_split_clause,[],[f48235,f19884,f8331,f8422,f516,f513,f8022]) ).

thf(f48536,plain,
    ( spl2_48
    | ~ spl2_49
    | spl2_400
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f48481,f13058,f13088,f516,f513]) ).

thf(f48540,definition,
    ( spl2_665
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_665])],[avatar_definition]) ).

thf(f48541,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true ) )
    | ~ spl2_665 ),
    inference(avatar_component_clause,[],[f48540]) ).

thf(f48543,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_21
    | ~ spl2_269
    | ~ spl2_658 ),
    inference(forward_subsumption_resolution,[],[f47356,f9421]) ).

thf(f48546,plain,
    ( spl2_48
    | ~ spl2_49
    | spl2_289
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f48232,f8331,f8341,f516,f513]) ).

thf(f48548,plain,
    ( spl2_48
    | ~ spl2_49
    | ~ spl2_285
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f48237,f8331,f8327,f516,f513]) ).

thf(f48549,plain,
    ( ~ spl2_49
    | spl2_245
    | spl2_278
    | spl2_48
    | ~ spl2_268
    | ~ spl2_547 ),
    inference(avatar_split_clause,[],[f48002,f19884,f8156,f513,f8232,f7978,f516]) ).

thf(f48552,definition,
    ( spl2_666
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_666])],[avatar_definition]) ).

thf(f48553,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_666 ),
    inference(avatar_component_clause,[],[f48552]) ).

thf(f48554,plain,
    ( spl2_666
    | spl2_86
    | ~ spl2_524 ),
    inference(avatar_split_clause,[],[f47815,f18673,f1275,f48552]) ).

thf(f48555,plain,
    ( spl2_254
    | ~ spl2_60
    | ~ spl2_76
    | ~ spl2_656 ),
    inference(avatar_split_clause,[],[f47688,f44956,f1058,f971,f8025]) ).

thf(f48563,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_393
    | ~ spl2_396 ),
    inference(forward_subsumption_resolution,[],[f48484,f201]) ).

thf(f48568,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_39
    | ~ spl2_501 ),
    inference(forward_subsumption_resolution,[],[f17089,f1472]) ).

thf(f48572,plain,
    ( ~ spl2_24
    | ~ spl2_76
    | ~ spl2_269
    | ~ spl2_654 ),
    inference(avatar_split_clause,[],[f47718,f44745,f8159,f1058,f229]) ).

thf(f48573,plain,
    ( ~ spl2_24
    | ~ spl2_21
    | ~ spl2_269
    | ~ spl2_658 ),
    inference(avatar_split_clause,[],[f48543,f44983,f8159,f207,f229]) ).

thf(f48578,plain,
    ( spl2_75
    | ~ spl2_19
    | ~ spl2_393
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f48563,f13058,f13047,f200,f1052]) ).

thf(f48579,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_21
    | spl2_39
    | ~ spl2_501 ),
    inference(forward_subsumption_resolution,[],[f48568,f9421]) ).

thf(f48582,plain,
    ( spl2_86
    | ~ spl2_21
    | spl2_39
    | ~ spl2_501 ),
    inference(avatar_split_clause,[],[f48579,f16714,f385,f207,f1275]) ).

thf(f48672,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_96
    | ~ spl2_179 ),
    inference(constrained_superposition,[],[f4676,f1520]) ).

thf(f48681,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_96
    | ~ spl2_179 ),
    inference(trivial_inequality_removal,[],[f48672]) ).

thf(f48706,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f75,f1191]) ).

thf(f48707,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_60
    | ~ spl2_524 ),
    inference(constrained_superposition,[],[f18674,f1191]) ).

thf(f48709,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_57
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f962,f1191]) ).

thf(f48710,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f183,f1191]) ).

thf(f48711,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f95,f1191]) ).

thf(f48714,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f841,f1191]) ).

thf(f48715,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f58,f1191]) ).

thf(f48716,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f31,f1191]) ).

thf(f48724,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f48716]) ).

thf(f48726,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_60
    | ~ spl2_524 ),
    inference(trivial_inequality_removal,[],[f48707]) ).

thf(f48727,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f48715]) ).

thf(f48734,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f48711]) ).

thf(f48735,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f48714]) ).

thf(f48740,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f48706]) ).

thf(f48741,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_57
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f48709]) ).

thf(f48742,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_60 ),
    inference(duplicate_literal_removal,[],[f48710]) ).

thf(f48743,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f48742]) ).

thf(f48748,plain,
    ( spl2_666
    | ~ spl2_60
    | ~ spl2_524 ),
    inference(avatar_split_clause,[],[f48726,f18673,f971,f48552]) ).

thf(f48777,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_278
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f46278,f8233]) ).

thf(f48778,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(constrained_superposition,[],[f14391,f8233]) ).

thf(f48781,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_278
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f48777]) ).

thf(f48784,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(trivial_inequality_removal,[],[f48778]) ).

thf(f49005,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
          = $true )
        | ( sK1 = X0 )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_499 ),
    inference(constrained_superposition,[],[f16706,f27]) ).

thf(f49006,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( sK1 = X0 ) )
    | ~ spl2_499 ),
    inference(trivial_inequality_removal,[],[f49005]) ).

thf(f49015,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_395
    | ~ spl2_542 ),
    inference(constrained_superposition,[],[f47499,f8435]) ).

thf(f49024,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_395
    | ~ spl2_542 ),
    inference(trivial_inequality_removal,[],[f49015]) ).

thf(f49028,plain,
    ( $false
    | ~ spl2_295
    | ~ spl2_300
    | ~ spl2_395
    | ~ spl2_542 ),
    inference(forward_subsumption_resolution,[],[f49024,f8461]) ).

thf(f49029,plain,
    ( ~ spl2_295
    | ~ spl2_300
    | ~ spl2_395
    | ~ spl2_542 ),
    inference(avatar_contradiction_clause,[],[f49028]) ).

thf(f49030,plain,
    ( ~ spl2_58
    | spl2_393
    | ~ spl2_89
    | ~ spl2_570 ),
    inference(avatar_split_clause,[],[f47845,f23820,f1337,f13047,f964]) ).

thf(f49127,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_75
    | ~ spl2_300 ),
    inference(constrained_superposition,[],[f1053,f8461]) ).

thf(f49136,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_75
    | ~ spl2_300 ),
    inference(trivial_inequality_removal,[],[f49127]) ).

thf(f49143,plain,
    ( spl2_510
    | ~ spl2_75
    | ~ spl2_300 ),
    inference(avatar_split_clause,[],[f49136,f8460,f1052,f17801]) ).

thf(f49383,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_624 ),
    inference(constrained_superposition,[],[f36554,f722]) ).

thf(f49388,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_624 ),
    inference(trivial_inequality_removal,[],[f49383]) ).

thf(f49424,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_653 ),
    inference(constrained_superposition,[],[f44380,f82]) ).

thf(f49435,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_653 ),
    inference(trivial_inequality_removal,[],[f49424]) ).

thf(f49437,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | spl2_115
    | ~ spl2_653 ),
    inference(forward_subsumption_resolution,[],[f49435,f2505]) ).

thf(f49440,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_78
    | spl2_115
    | ~ spl2_653 ),
    inference(forward_subsumption_resolution,[],[f49437,f1068]) ).

thf(f49441,plain,
    ( $false
    | ~ spl2_78
    | spl2_115
    | ~ spl2_116
    | ~ spl2_653 ),
    inference(forward_subsumption_resolution,[],[f49440,f2556]) ).

thf(f49442,plain,
    ( ~ spl2_78
    | spl2_115
    | ~ spl2_116
    | ~ spl2_653 ),
    inference(avatar_contradiction_clause,[],[f49441]) ).

thf(f49487,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_292
    | ~ spl2_611 ),
    inference(constrained_superposition,[],[f33721,f8423]) ).

thf(f49492,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_292
    | ~ spl2_611 ),
    inference(trivial_inequality_removal,[],[f49487]) ).

thf(f49495,plain,
    ( spl2_269
    | ~ spl2_292
    | ~ spl2_611 ),
    inference(avatar_split_clause,[],[f49492,f33720,f8422,f8159]) ).

thf(f49498,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_393
    | ~ spl2_611 ),
    inference(constrained_superposition,[],[f33721,f13048]) ).

thf(f49502,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_393
    | ~ spl2_611 ),
    inference(trivial_inequality_removal,[],[f49498]) ).

thf(f49506,plain,
    ( spl2_433
    | ~ spl2_393
    | ~ spl2_611 ),
    inference(avatar_split_clause,[],[f49502,f33720,f13047,f13812]) ).

thf(f49524,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_21
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f46385,f8160]) ).

thf(f49525,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f95,f8160]) ).

thf(f49542,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_21
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f49524]) ).

thf(f49558,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f49525]) ).

thf(f49563,plain,
    ( spl2_428
    | ~ spl2_294
    | ~ spl2_21
    | ~ spl2_269 ),
    inference(avatar_split_clause,[],[f49542,f8159,f207,f8431,f13704]) ).

thf(f49579,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_19
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f47748,f13059]) ).

thf(f49582,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_19
    | ~ spl2_396 ),
    inference(duplicate_literal_removal,[],[f49579]) ).

thf(f49583,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_19
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f49582]) ).

thf(f49588,plain,
    ( spl2_433
    | spl2_649
    | ~ spl2_19
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f49583,f13058,f200,f40498,f13812]) ).

thf(f49644,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_262
    | ~ spl2_657 ),
    inference(constrained_superposition,[],[f44967,f8093]) ).

thf(f49645,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_262
    | ~ spl2_660 ),
    inference(constrained_superposition,[],[f45162,f8093]) ).

thf(f49656,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_262 ),
    inference(constrained_superposition,[],[f95,f8093]) ).

thf(f49689,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_262
    | ~ spl2_657 ),
    inference(trivial_inequality_removal,[],[f49644]) ).

thf(f49690,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_262 ),
    inference(trivial_inequality_removal,[],[f49656]) ).

thf(f49691,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_262
    | ~ spl2_660 ),
    inference(trivial_inequality_removal,[],[f49645]) ).

thf(f49700,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_262
    | ~ spl2_288
    | ~ spl2_657 ),
    inference(forward_subsumption_resolution,[],[f49689,f8338]) ).

thf(f49701,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_262
    | spl2_273 ),
    inference(forward_subsumption_resolution,[],[f49690,f17852]) ).

thf(f49702,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_262
    | ~ spl2_288
    | ~ spl2_660 ),
    inference(forward_subsumption_resolution,[],[f49691,f8338]) ).

thf(f49706,plain,
    ( ~ spl2_111
    | ~ spl2_262
    | ~ spl2_288
    | ~ spl2_657 ),
    inference(avatar_split_clause,[],[f49700,f44966,f8337,f8092,f2474]) ).

thf(f49707,plain,
    ( spl2_428
    | ~ spl2_294
    | ~ spl2_262
    | spl2_273 ),
    inference(avatar_split_clause,[],[f49701,f8175,f8092,f8431,f13704]) ).

thf(f49708,plain,
    ( ~ spl2_321
    | ~ spl2_262
    | ~ spl2_288
    | ~ spl2_660 ),
    inference(avatar_split_clause,[],[f49702,f45161,f8337,f8092,f10276]) ).

thf(f49727,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_57
    | ~ spl2_96
    | ~ spl2_179 ),
    inference(forward_subsumption_resolution,[],[f46873,f48681]) ).

thf(f49734,plain,
    ( ~ spl2_19
    | spl2_75
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(avatar_split_clause,[],[f48784,f8232,f8156,f1052,f200]) ).

thf(f49737,plain,
    ( ~ spl2_33
    | ~ spl2_57
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f48741,f971,f961,f317]) ).

thf(f49738,plain,
    ( spl2_61
    | ~ spl2_89
    | spl2_19
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f48740,f971,f200,f1337,f974]) ).

thf(f49739,plain,
    ( ~ spl2_67
    | spl2_77
    | ~ spl2_278
    | ~ spl2_349 ),
    inference(avatar_split_clause,[],[f48781,f10983,f8232,f1061,f994]) ).

thf(f49746,plain,
    ( ~ spl2_294
    | spl2_26
    | spl2_428
    | ~ spl2_269 ),
    inference(avatar_split_clause,[],[f49558,f8159,f13704,f244,f8431]) ).

thf(f49752,plain,
    ( ~ spl2_33
    | ~ spl2_57
    | ~ spl2_96
    | ~ spl2_179 ),
    inference(avatar_split_clause,[],[f49727,f4675,f1519,f961,f317]) ).

thf(f49775,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_26
    | ~ spl2_179 ),
    inference(constrained_superposition,[],[f4676,f245]) ).

thf(f49783,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_26
    | ~ spl2_179 ),
    inference(trivial_inequality_removal,[],[f49775]) ).

thf(f49786,plain,
    ( ~ spl2_49
    | ~ spl2_26
    | ~ spl2_179 ),
    inference(avatar_split_clause,[],[f49783,f4675,f244,f516]) ).

thf(f50012,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f14391,f8104]) ).

thf(f50021,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f50012]) ).

thf(f50023,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_268
    | ~ spl2_286 ),
    inference(forward_subsumption_resolution,[],[f50021,f8424]) ).

thf(f50024,plain,
    ( spl2_377
    | ~ spl2_265
    | ~ spl2_268
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f50023,f8331,f8156,f8103,f12148]) ).

thf(f50042,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_26
    | ~ spl2_48 ),
    inference(constrained_superposition,[],[f514,f245]) ).

thf(f50046,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_26
    | ~ spl2_48 ),
    inference(duplicate_literal_removal,[],[f50042]) ).

thf(f50047,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ sK1 ) @ X0 ) )
    | ~ spl2_26
    | ~ spl2_48 ),
    inference(trivial_inequality_removal,[],[f50046]) ).

thf(f50054,plain,
    ( spl2_467
    | ~ spl2_26
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f50047,f513,f244,f15479]) ).

thf(f50102,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_601 ),
    inference(constrained_superposition,[],[f32102,f722]) ).

thf(f50113,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_601 ),
    inference(trivial_inequality_removal,[],[f50102]) ).

thf(f50116,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_261
    | ~ spl2_351 ),
    inference(constrained_superposition,[],[f11013,f8090]) ).

thf(f50119,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_351 ),
    inference(constrained_superposition,[],[f11013,f7985]) ).

thf(f50125,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_261
    | ~ spl2_351 ),
    inference(trivial_inequality_removal,[],[f50116]) ).

thf(f50126,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_247
    | ~ spl2_351 ),
    inference(trivial_inequality_removal,[],[f50119]) ).

thf(f50132,plain,
    ( spl2_559
    | ~ spl2_247
    | ~ spl2_351 ),
    inference(avatar_split_clause,[],[f50126,f11012,f7984,f21770]) ).

thf(f50147,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_261
    | ~ spl2_351 ),
    inference(constrained_superposition,[],[f50125,f8090]) ).

thf(f50153,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_261
    | ~ spl2_351 ),
    inference(trivial_inequality_removal,[],[f50147]) ).

thf(f50157,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_261
    | ~ spl2_351 ),
    inference(constrained_superposition,[],[f50153,f83]) ).

thf(f50159,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_261
    | ~ spl2_351 ),
    inference(trivial_inequality_removal,[],[f50157]) ).

thf(f50161,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_614 ),
    inference(avatar_component_clause,[],[f34334]) ).

thf(f50162,plain,
    ( spl2_27
    | spl2_614
    | ~ spl2_261
    | ~ spl2_351 ),
    inference(avatar_split_clause,[],[f50159,f11012,f8089,f34334,f247]) ).

thf(f50170,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_614
    | ~ spl2_617 ),
    inference(constrained_superposition,[],[f35779,f50161]) ).

thf(f50205,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_614
    | ~ spl2_617 ),
    inference(trivial_inequality_removal,[],[f50170]) ).

thf(f50252,definition,
    ( spl2_676
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_676])],[avatar_definition]) ).

thf(f50253,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_676 ),
    inference(avatar_component_clause,[],[f50252]) ).

thf(f50419,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(constrained_superposition,[],[f12149,f8435]) ).

thf(f50427,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(trivial_inequality_removal,[],[f50419]) ).

thf(f50436,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(constrained_superposition,[],[f50427,f82]) ).

thf(f50451,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(trivial_inequality_removal,[],[f50436]) ).

thf(f50458,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_82
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(forward_subsumption_resolution,[],[f50451,f5494]) ).

thf(f50459,plain,
    ( $false
    | ~ spl2_26
    | spl2_82
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(forward_subsumption_resolution,[],[f50458,f245]) ).

thf(f50460,plain,
    ( ~ spl2_26
    | spl2_82
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(avatar_contradiction_clause,[],[f50459]) ).

thf(f50474,plain,
    ( spl2_292
    | ~ spl2_16
    | ~ spl2_33
    | ~ spl2_656 ),
    inference(avatar_split_clause,[],[f47691,f44956,f317,f190,f8422]) ).

thf(f50525,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_285
    | ~ spl2_456 ),
    inference(constrained_superposition,[],[f14792,f8328]) ).

thf(f50537,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_285
    | ~ spl2_456 ),
    inference(trivial_inequality_removal,[],[f50525]) ).

thf(f50539,plain,
    ( ~ spl2_292
    | ~ spl2_285
    | ~ spl2_456 ),
    inference(avatar_split_clause,[],[f50537,f14791,f8327,f8422]) ).

thf(f50586,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_286 ),
    inference(constrained_superposition,[],[f8332,f83]) ).

thf(f50589,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f50586]) ).

thf(f50591,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f50589,f41]) ).

thf(f50599,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_300 ),
    inference(constrained_superposition,[],[f166,f8461]) ).

thf(f50601,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_300 ),
    inference(trivial_inequality_removal,[],[f50599]) ).

thf(f50803,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_463 ),
    inference(constrained_superposition,[],[f166,f15158]) ).

thf(f50808,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_463 ),
    inference(trivial_inequality_removal,[],[f50803]) ).

thf(f51038,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f95,f10203]) ).

thf(f51066,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f51038]) ).

thf(f51079,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_135 ),
    inference(constrained_superposition,[],[f3732,f171]) ).

thf(f51083,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_135 ),
    inference(trivial_inequality_removal,[],[f51079]) ).

thf(f51125,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_501
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f16715,f50161]) ).

thf(f51137,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_501
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f51125]) ).

thf(f51211,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ~ spl2_665 ),
    inference(constrained_superposition,[],[f48541,f81]) ).

thf(f51214,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_665 ),
    inference(trivial_inequality_removal,[],[f51211]) ).

thf(f51236,plain,
    ( spl2_24
    | spl2_613
    | ~ spl2_300 ),
    inference(avatar_split_clause,[],[f50601,f8460,f33736,f229]) ).

thf(f51237,plain,
    ( spl2_612
    | spl2_24
    | ~ spl2_463 ),
    inference(avatar_split_clause,[],[f50808,f15157,f229,f33724]) ).

thf(f51241,plain,
    ( ~ spl2_475
    | spl2_474
    | spl2_273
    | ~ spl2_315 ),
    inference(avatar_split_clause,[],[f51066,f10202,f8175,f15710,f15713]) ).

thf(f51271,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f30,f995]) ).

thf(f51273,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_67 ),
    inference(trivial_inequality_removal,[],[f51271]) ).

thf(f51302,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_292 ),
    inference(constrained_superposition,[],[f30,f8423]) ).

thf(f51305,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ sK1 ) ) )
    | ~ spl2_292 ),
    inference(trivial_inequality_removal,[],[f51302]) ).

thf(f51372,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(constrained_superposition,[],[f17851,f10984]) ).

thf(f51379,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(trivial_inequality_removal,[],[f51372]) ).

thf(f51394,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_96
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(constrained_superposition,[],[f51379,f1520]) ).

thf(f51395,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(constrained_superposition,[],[f51379,f171]) ).

thf(f51397,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_349
    | ~ spl2_395
    | ~ spl2_511 ),
    inference(constrained_superposition,[],[f51379,f13055]) ).

thf(f51400,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_67
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(constrained_superposition,[],[f51379,f995]) ).

thf(f51402,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(trivial_inequality_removal,[],[f51395]) ).

thf(f51409,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_349
    | ~ spl2_395
    | ~ spl2_511 ),
    inference(trivial_inequality_removal,[],[f51397]) ).

thf(f51410,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_67
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(trivial_inequality_removal,[],[f51400]) ).

thf(f51411,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_96
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(trivial_inequality_removal,[],[f51394]) ).

thf(f51412,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_49
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(forward_subsumption_resolution,[],[f51402,f2145]) ).

thf(f51415,plain,
    ( $false
    | ~ spl2_349
    | ~ spl2_395
    | ~ spl2_402
    | ~ spl2_511 ),
    inference(forward_subsumption_resolution,[],[f51409,f13096]) ).

thf(f51416,plain,
    ( ~ spl2_349
    | ~ spl2_395
    | ~ spl2_402
    | ~ spl2_511 ),
    inference(avatar_contradiction_clause,[],[f51415]) ).

thf(f51417,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_116
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(forward_subsumption_resolution,[],[f51410,f2556]) ).

thf(f51418,plain,
    ( ~ spl2_67
    | ~ spl2_116
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(avatar_contradiction_clause,[],[f51417]) ).

thf(f51419,plain,
    ( $false
    | ~ spl2_49
    | ~ spl2_96
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(forward_subsumption_resolution,[],[f51411,f2145]) ).

thf(f51420,plain,
    ( ~ spl2_49
    | ~ spl2_96
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(avatar_contradiction_clause,[],[f51419]) ).

thf(f51421,plain,
    ( $false
    | ~ spl2_49
    | spl2_76
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(forward_subsumption_resolution,[],[f51412,f1631]) ).

thf(f51422,plain,
    ( ~ spl2_49
    | spl2_76
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(avatar_contradiction_clause,[],[f51421]) ).

thf(f51446,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_501
    | ~ spl2_676 ),
    inference(constrained_superposition,[],[f16715,f50253]) ).

thf(f51469,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_501
    | ~ spl2_676 ),
    inference(trivial_inequality_removal,[],[f51446]) ).

thf(f51506,plain,
    ( spl2_247
    | ~ spl2_111
    | ~ spl2_501
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f51137,f34334,f16714,f2474,f7984]) ).

thf(f51514,plain,
    ( spl2_247
    | ~ spl2_8
    | ~ spl2_112 ),
    inference(avatar_split_clause,[],[f46538,f2477,f111,f7984]) ).

thf(f51515,plain,
    ( spl2_389
    | ~ spl2_475
    | ~ spl2_501
    | ~ spl2_676 ),
    inference(avatar_split_clause,[],[f51469,f50252,f16714,f15713,f13029]) ).

thf(f51556,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_106 ),
    inference(constrained_superposition,[],[f166,f2449]) ).

thf(f51562,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_106 ),
    inference(trivial_inequality_removal,[],[f51556]) ).

thf(f51612,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_322 ),
    inference(constrained_superposition,[],[f10283,f721]) ).

thf(f51615,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_322 ),
    inference(constrained_superposition,[],[f10283,f81]) ).

thf(f51622,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_322 ),
    inference(trivial_inequality_removal,[],[f51615]) ).

thf(f51625,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_322 ),
    inference(trivial_inequality_removal,[],[f51612]) ).

thf(f51664,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_314
    | ~ spl2_662 ),
    inference(constrained_superposition,[],[f48198,f10198]) ).

thf(f51673,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_314
    | ~ spl2_662 ),
    inference(trivial_inequality_removal,[],[f51664]) ).

thf(f51674,plain,
    ( $false
    | ~ spl2_314
    | ~ spl2_389
    | ~ spl2_662 ),
    inference(forward_subsumption_resolution,[],[f51673,f13030]) ).

thf(f51675,plain,
    ( ~ spl2_314
    | ~ spl2_389
    | ~ spl2_662 ),
    inference(avatar_contradiction_clause,[],[f51674]) ).

thf(f51908,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_295
    | ~ spl2_488 ),
    inference(constrained_superposition,[],[f16203,f8435]) ).

thf(f51914,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_295
    | ~ spl2_488 ),
    inference(trivial_inequality_removal,[],[f51908]) ).

thf(f51923,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_314
    | ~ spl2_653 ),
    inference(constrained_superposition,[],[f44380,f10198]) ).

thf(f51930,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_314
    | ~ spl2_653 ),
    inference(trivial_inequality_removal,[],[f51923]) ).

thf(f51934,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_314
    | ~ spl2_395
    | ~ spl2_653 ),
    inference(forward_subsumption_resolution,[],[f51930,f13055]) ).

thf(f51935,plain,
    ( $false
    | ~ spl2_314
    | ~ spl2_389
    | ~ spl2_395
    | ~ spl2_653 ),
    inference(forward_subsumption_resolution,[],[f51934,f13030]) ).

thf(f51936,plain,
    ( ~ spl2_314
    | ~ spl2_389
    | ~ spl2_395
    | ~ spl2_653 ),
    inference(avatar_contradiction_clause,[],[f51935]) ).

thf(f51940,plain,
    ( spl2_574
    | ~ spl2_295
    | ~ spl2_488 ),
    inference(avatar_split_clause,[],[f51914,f16202,f8434,f24737]) ).

thf(f51962,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_38
    | spl2_286 ),
    inference(constrained_superposition,[],[f383,f50591]) ).

thf(f51964,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_38
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f383,f1191]) ).

thf(f51971,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_38
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f51962]) ).

thf(f51972,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_38
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f51964]) ).

thf(f51997,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_625 ),
    inference(constrained_superposition,[],[f36601,f11147]) ).

thf(f52004,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_268
    | ~ spl2_625 ),
    inference(trivial_inequality_removal,[],[f51997]) ).

thf(f52073,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_659 ),
    inference(constrained_superposition,[],[f44990,f722]) ).

thf(f52075,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_659 ),
    inference(trivial_inequality_removal,[],[f52073]) ).

thf(f52096,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f8163,f8435]) ).

thf(f52103,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f52096]) ).

thf(f52108,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f52103,f8090]) ).

thf(f52114,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f52108]) ).

thf(f52122,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f52114,f83]) ).

thf(f52125,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f52122]) ).

thf(f52127,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(forward_subsumption_resolution,[],[f52125,f7885]) ).

thf(f52128,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295
    | ~ spl2_665 ),
    inference(constrained_superposition,[],[f48541,f52127]) ).

thf(f52136,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f95,f52127]) ).

thf(f52140,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f58,f52127]) ).

thf(f52158,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f52140]) ).

thf(f52161,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295
    | ~ spl2_665 ),
    inference(trivial_inequality_removal,[],[f52128]) ).

thf(f52167,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f52136]) ).

thf(f52170,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | spl2_68
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(forward_subsumption_resolution,[],[f52158,f1190]) ).

thf(f52171,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | spl2_286
    | ~ spl2_295
    | ~ spl2_665 ),
    inference(forward_subsumption_resolution,[],[f52161,f50591]) ).

thf(f52176,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | spl2_72
    | spl2_73
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(forward_subsumption_resolution,[],[f52167,f3001]) ).

thf(f52179,plain,
    ( spl2_579
    | ~ spl2_297
    | spl2_68
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f52170,f8434,f8162,f8089,f1042,f998,f8444,f26093]) ).

thf(f52180,plain,
    ( $false
    | spl2_72
    | spl2_255
    | ~ spl2_261
    | ~ spl2_270
    | spl2_286
    | ~ spl2_295
    | ~ spl2_665 ),
    inference(forward_subsumption_resolution,[],[f52171,f32522]) ).

thf(f52181,plain,
    ( spl2_72
    | spl2_255
    | ~ spl2_261
    | ~ spl2_270
    | spl2_286
    | ~ spl2_295
    | ~ spl2_665 ),
    inference(avatar_contradiction_clause,[],[f52180]) ).

thf(f52184,plain,
    ( spl2_428
    | ~ spl2_294
    | spl2_72
    | spl2_73
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f52176,f8434,f8162,f8089,f1045,f1042,f8431,f13704]) ).

thf(f52197,plain,
    ( ~ spl2_289
    | ~ spl2_297
    | ~ spl2_38
    | spl2_286 ),
    inference(avatar_split_clause,[],[f51971,f8331,f382,f8444,f8341]) ).

thf(f52204,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_376 ),
    inference(constrained_superposition,[],[f12145,f8029]) ).

thf(f52205,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_488 ),
    inference(constrained_superposition,[],[f16203,f8029]) ).

thf(f52209,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_255
    | ~ spl2_376 ),
    inference(trivial_inequality_removal,[],[f52204]) ).

thf(f52211,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_255
    | ~ spl2_488 ),
    inference(trivial_inequality_removal,[],[f52205]) ).

thf(f52213,plain,
    ( spl2_456
    | ~ spl2_255
    | ~ spl2_488 ),
    inference(avatar_split_clause,[],[f52211,f16202,f8028,f14791]) ).

thf(f52347,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ~ spl2_313
    | ~ spl2_608 ),
    inference(constrained_superposition,[],[f33014,f10195]) ).

thf(f52348,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_313
    | ~ spl2_601 ),
    inference(constrained_superposition,[],[f32102,f10195]) ).

thf(f52351,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ~ spl2_313
    | ~ spl2_617 ),
    inference(constrained_superposition,[],[f35779,f10195]) ).

thf(f52376,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_313
    | ~ spl2_617 ),
    inference(trivial_inequality_removal,[],[f52351]) ).

thf(f52380,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ~ spl2_313
    | ~ spl2_608 ),
    inference(trivial_inequality_removal,[],[f52347]) ).

thf(f52383,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_313
    | ~ spl2_601 ),
    inference(trivial_inequality_removal,[],[f52348]) ).

thf(f52489,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_259
    | ~ spl2_659 ),
    inference(constrained_superposition,[],[f44990,f8083]) ).

thf(f52498,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f95,f8083]) ).

thf(f52520,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f52498]) ).

thf(f52530,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_259
    | ~ spl2_659 ),
    inference(trivial_inequality_removal,[],[f52489]) ).

thf(f52558,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_259
    | ~ spl2_657 ),
    inference(constrained_superposition,[],[f44967,f8083]) ).

thf(f52560,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_657 ),
    inference(constrained_superposition,[],[f44967,f722]) ).

thf(f52568,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_657 ),
    inference(trivial_inequality_removal,[],[f52560]) ).

thf(f52572,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_259
    | ~ spl2_657 ),
    inference(trivial_inequality_removal,[],[f52558]) ).

thf(f52610,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_395
    | ~ spl2_442 ),
    inference(constrained_superposition,[],[f14373,f13055]) ).

thf(f52618,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_395
    | ~ spl2_442 ),
    inference(trivial_inequality_removal,[],[f52610]) ).

thf(f52623,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_316
    | ~ spl2_395
    | ~ spl2_442 ),
    inference(constrained_superposition,[],[f52618,f10206]) ).

thf(f52635,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_316
    | ~ spl2_395
    | ~ spl2_442 ),
    inference(trivial_inequality_removal,[],[f52623]) ).

thf(f52636,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_316
    | ~ spl2_395
    | ~ spl2_442 ),
    inference(constrained_superposition,[],[f52635,f83]) ).

thf(f52638,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_316
    | ~ spl2_395
    | ~ spl2_442 ),
    inference(trivial_inequality_removal,[],[f52636]) ).

thf(f52640,plain,
    ( spl2_676
    | spl2_245
    | ~ spl2_316
    | ~ spl2_395
    | ~ spl2_442 ),
    inference(avatar_split_clause,[],[f52638,f14372,f13054,f10205,f7978,f50252]) ).

thf(f52643,plain,
    ( ~ spl2_473
    | ~ spl2_433
    | ~ spl2_313
    | ~ spl2_617 ),
    inference(avatar_split_clause,[],[f52376,f35778,f10194,f13812,f15705]) ).

thf(f52644,plain,
    ( ~ spl2_63
    | ~ spl2_76
    | spl2_254
    | ~ spl2_657 ),
    inference(avatar_split_clause,[],[f52568,f44966,f8025,f1058,f981]) ).

thf(f52645,plain,
    ( spl2_559
    | ~ spl2_255
    | ~ spl2_376 ),
    inference(avatar_split_clause,[],[f52209,f12144,f8028,f21770]) ).

thf(f52650,plain,
    ( ~ spl2_400
    | ~ spl2_475
    | ~ spl2_313
    | ~ spl2_601 ),
    inference(avatar_split_clause,[],[f52383,f32101,f10194,f15713,f13088]) ).

thf(f52656,plain,
    ( ~ spl2_411
    | ~ spl2_400
    | ~ spl2_259
    | ~ spl2_659 ),
    inference(avatar_split_clause,[],[f52530,f44989,f8082,f13088,f13224]) ).

thf(f52657,plain,
    ( ~ spl2_294
    | spl2_428
    | spl2_399
    | ~ spl2_259 ),
    inference(avatar_split_clause,[],[f52520,f8082,f13084,f13704,f8431]) ).

thf(f52658,plain,
    ( spl2_589
    | ~ spl2_273
    | ~ spl2_268
    | ~ spl2_625 ),
    inference(avatar_split_clause,[],[f52004,f36600,f8156,f8175,f28002]) ).

thf(f52659,plain,
    ( ~ spl2_82
    | ~ spl2_58
    | ~ spl2_38
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f51972,f971,f382,f964,f1224]) ).

thf(f52661,plain,
    ( spl2_73
    | spl2_501
    | ~ spl2_8
    | spl2_72 ),
    inference(avatar_split_clause,[],[f38801,f1042,f111,f16714,f1045]) ).

thf(f52663,plain,
    ( ~ spl2_473
    | ~ spl2_400
    | ~ spl2_313
    | ~ spl2_608 ),
    inference(avatar_split_clause,[],[f52380,f33013,f10194,f13088,f15705]) ).

thf(f52666,plain,
    ( ~ spl2_63
    | spl2_248
    | ~ spl2_82
    | ~ spl2_601 ),
    inference(avatar_split_clause,[],[f50113,f32101,f1224,f7987,f981]) ).

thf(f52673,plain,
    ( ~ spl2_76
    | spl2_248
    | ~ spl2_63
    | ~ spl2_624 ),
    inference(avatar_split_clause,[],[f49388,f36553,f981,f7987,f1058]) ).

thf(f52675,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_60
    | ~ spl2_659 ),
    inference(forward_subsumption_resolution,[],[f52075,f1191]) ).

thf(f52677,plain,
    ( spl2_627
    | spl2_24
    | ~ spl2_106 ),
    inference(avatar_split_clause,[],[f51562,f2448,f229,f37137]) ).

thf(f52680,plain,
    ( ~ spl2_58
    | ~ spl2_76
    | ~ spl2_614
    | ~ spl2_617 ),
    inference(avatar_split_clause,[],[f50205,f35778,f34334,f1058,f964]) ).

thf(f52682,plain,
    ( spl2_116
    | ~ spl2_24
    | spl2_73
    | ~ spl2_665 ),
    inference(avatar_split_clause,[],[f51214,f48540,f1045,f229,f2543]) ).

thf(f52684,plain,
    ( ~ spl2_433
    | ~ spl2_475
    | ~ spl2_259
    | ~ spl2_657 ),
    inference(avatar_split_clause,[],[f52572,f44966,f8082,f15713,f13812]) ).

thf(f52695,plain,
    ( spl2_254
    | ~ spl2_82
    | ~ spl2_60
    | ~ spl2_659 ),
    inference(avatar_split_clause,[],[f52675,f44989,f971,f1224,f8025]) ).

thf(f52813,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f30,f1046]) ).

thf(f52815,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f52813]) ).

thf(f52889,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5105,f82]) ).

thf(f52893,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f52889]) ).

thf(f52925,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_248
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f14391,f7988]) ).

thf(f52930,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_248
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f52925]) ).

thf(f52933,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | spl2_86 ),
    inference(avatar_component_clause,[],[f1275]) ).

thf(f52934,plain,
    ( ~ spl2_86
    | spl2_175
    | ~ spl2_248
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f52930,f8156,f7987,f4596,f1275]) ).

thf(f53016,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_254 ),
    inference(constrained_superposition,[],[f166,f8026]) ).

thf(f53019,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_254 ),
    inference(trivial_inequality_removal,[],[f53016]) ).

thf(f53295,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_73
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f52893,f1046]) ).

thf(f53304,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_73
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f53295]) ).

thf(f53568,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_76
    | ~ spl2_637 ),
    inference(constrained_superposition,[],[f38667,f1059]) ).

thf(f53571,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_637 ),
    inference(constrained_superposition,[],[f38667,f50]) ).

thf(f53578,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_637 ),
    inference(trivial_inequality_removal,[],[f53571]) ).

thf(f53579,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_76
    | ~ spl2_637 ),
    inference(trivial_inequality_removal,[],[f53568]) ).

thf(f53617,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_259
    | ~ spl2_654 ),
    inference(constrained_superposition,[],[f44746,f8083]) ).

thf(f53626,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_259
    | ~ spl2_654 ),
    inference(trivial_inequality_removal,[],[f53617]) ).

thf(f53630,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_259
    | ~ spl2_400
    | ~ spl2_654 ),
    inference(forward_subsumption_resolution,[],[f53626,f13089]) ).

thf(f53631,plain,
    ( $false
    | ~ spl2_259
    | ~ spl2_400
    | ~ spl2_437
    | ~ spl2_654 ),
    inference(forward_subsumption_resolution,[],[f53630,f17686]) ).

thf(f53632,plain,
    ( ~ spl2_259
    | ~ spl2_400
    | ~ spl2_437
    | ~ spl2_654 ),
    inference(avatar_contradiction_clause,[],[f53631]) ).

thf(f53854,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f841,f50161]) ).

thf(f53856,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f31,f50161]) ).

thf(f53877,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f53856]) ).

thf(f53880,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f53854]) ).

thf(f53924,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_579 ),
    inference(constrained_superposition,[],[f26094,f170]) ).

thf(f53930,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_579 ),
    inference(trivial_inequality_removal,[],[f53924]) ).

thf(f53971,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_477 ),
    inference(constrained_superposition,[],[f15725,f170]) ).

thf(f53981,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_477 ),
    inference(trivial_inequality_removal,[],[f53971]) ).

thf(f54078,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_653 ),
    inference(constrained_superposition,[],[f44380,f171]) ).

thf(f54087,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_653 ),
    inference(trivial_inequality_removal,[],[f54078]) ).

thf(f54163,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f48724,f81]) ).

thf(f54164,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f48724,f50]) ).

thf(f54168,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f54164]) ).

thf(f54176,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f54163]) ).

thf(f54241,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_396
    | ~ spl2_434 ),
    inference(constrained_superposition,[],[f13816,f13059]) ).

thf(f54252,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_396
    | ~ spl2_434 ),
    inference(trivial_inequality_removal,[],[f54241]) ).

thf(f54255,plain,
    ( spl2_622
    | ~ spl2_396
    | ~ spl2_434 ),
    inference(avatar_split_clause,[],[f54252,f13815,f13058,f36493]) ).

thf(f54274,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_264
    | ~ spl2_622 ),
    inference(constrained_superposition,[],[f36494,f8100]) ).

thf(f54276,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_284
    | ~ spl2_622 ),
    inference(constrained_superposition,[],[f36494,f8324]) ).

thf(f54284,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_264
    | ~ spl2_622 ),
    inference(trivial_inequality_removal,[],[f54274]) ).

thf(f54287,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_284
    | ~ spl2_622 ),
    inference(trivial_inequality_removal,[],[f54276]) ).

thf(f54288,plain,
    ( $false
    | ~ spl2_264
    | ~ spl2_463
    | ~ spl2_622 ),
    inference(forward_subsumption_resolution,[],[f54284,f15158]) ).

thf(f54289,plain,
    ( ~ spl2_264
    | ~ spl2_463
    | ~ spl2_622 ),
    inference(avatar_contradiction_clause,[],[f54288]) ).

thf(f54290,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_284
    | ~ spl2_622 ),
    inference(forward_subsumption_resolution,[],[f54287,f245]) ).

thf(f54291,plain,
    ( ~ spl2_26
    | ~ spl2_284
    | ~ spl2_622 ),
    inference(avatar_contradiction_clause,[],[f54290]) ).

thf(f54377,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_316
    | ~ spl2_588 ),
    inference(constrained_superposition,[],[f27998,f10206]) ).

thf(f54387,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_316
    | ~ spl2_588 ),
    inference(trivial_inequality_removal,[],[f54377]) ).

thf(f54390,plain,
    ( $false
    | ~ spl2_316
    | ~ spl2_463
    | ~ spl2_588 ),
    inference(forward_subsumption_resolution,[],[f54387,f15158]) ).

thf(f54391,plain,
    ( ~ spl2_316
    | ~ spl2_463
    | ~ spl2_588 ),
    inference(avatar_contradiction_clause,[],[f54390]) ).

thf(f54395,plain,
    ( spl2_38
    | spl2_39
    | ~ spl2_637 ),
    inference(avatar_split_clause,[],[f53578,f38666,f385,f382]) ).

thf(f54405,plain,
    ( spl2_396
    | ~ spl2_33
    | ~ spl2_477 ),
    inference(avatar_split_clause,[],[f53981,f15724,f317,f13058]) ).

thf(f54409,plain,
    ( ~ spl2_33
    | spl2_286
    | ~ spl2_579 ),
    inference(avatar_split_clause,[],[f53930,f26093,f8331,f317]) ).

thf(f54423,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f9420,f201]) ).

thf(f54425,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_19 ),
    inference(constrained_superposition,[],[f30,f201]) ).

thf(f54426,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f54423]) ).

thf(f54428,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_19 ),
    inference(trivial_inequality_removal,[],[f54425]) ).

thf(f54429,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(forward_subsumption_resolution,[],[f54426,f99]) ).

thf(f54435,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_39 ),
    inference(constrained_superposition,[],[f30,f386]) ).

thf(f54436,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_39 ),
    inference(trivial_inequality_removal,[],[f54435]) ).

thf(f54461,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f30,f8176]) ).

thf(f54463,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f54461]) ).

thf(f54478,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( $true != $true )
        | ( ( b @ X3 @ ( sK0 @ ( sK0 @ X0 ) ) )
         != $true )
        | ( ( b @ X3 @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true
         != ( b @ X3 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_7 ),
    inference(constrained_superposition,[],[f30,f109]) ).

thf(f54483,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( b @ X3 @ ( sK0 @ ( sK0 @ X0 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( $true
         != ( b @ X3 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ X3 @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_7 ),
    inference(trivial_inequality_removal,[],[f54478]) ).

thf(f54488,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_7
    | spl2_284 ),
    inference(constrained_superposition,[],[f17803,f109]) ).

thf(f54490,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_7
    | spl2_284 ),
    inference(trivial_inequality_removal,[],[f54488]) ).

thf(f54492,plain,
    ( $false
    | ~ spl2_7
    | spl2_255
    | spl2_284 ),
    inference(forward_subsumption_resolution,[],[f54490,f32522]) ).

thf(f54493,plain,
    ( ~ spl2_7
    | spl2_255
    | spl2_284 ),
    inference(avatar_contradiction_clause,[],[f54492]) ).

thf(f54505,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f30,f8324]) ).

thf(f54506,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f54505]) ).

thf(f54510,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_289
    | ~ spl2_655 ),
    inference(constrained_superposition,[],[f44751,f8342]) ).

thf(f54511,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_289
    | ~ spl2_660 ),
    inference(constrained_superposition,[],[f45162,f8342]) ).

thf(f54522,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f31,f8342]) ).

thf(f54537,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f54522]) ).

thf(f54541,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_289
    | ~ spl2_660 ),
    inference(trivial_inequality_removal,[],[f54511]) ).

thf(f54546,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_289
    | ~ spl2_655 ),
    inference(trivial_inequality_removal,[],[f54510]) ).

thf(f54564,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_286 ),
    inference(constrained_superposition,[],[f8332,f83]) ).

thf(f54567,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f54564]) ).

thf(f54569,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f54567,f41]) ).

thf(f54583,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | spl2_286 ),
    inference(constrained_superposition,[],[f31,f54569]) ).

thf(f54607,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f54583]) ).

thf(f54628,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f54429,f82]) ).

thf(f54636,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f54628]) ).

thf(f54649,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_433
    | ~ spl2_640 ),
    inference(constrained_superposition,[],[f38749,f13813]) ).

thf(f54654,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_433
    | ~ spl2_637 ),
    inference(constrained_superposition,[],[f38667,f13813]) ).

thf(f54655,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f95,f13813]) ).

thf(f54660,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f31,f13813]) ).

thf(f54671,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_433
    | ~ spl2_637 ),
    inference(trivial_inequality_removal,[],[f54654]) ).

thf(f54674,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f54655]) ).

thf(f54676,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_433
    | ~ spl2_640 ),
    inference(trivial_inequality_removal,[],[f54649]) ).

thf(f54677,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f54660]) ).

thf(f54686,plain,
    ( spl2_393
    | ~ spl2_433
    | ~ spl2_640 ),
    inference(avatar_split_clause,[],[f54676,f38748,f13812,f13047]) ).

thf(f54699,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f30,f8435]) ).

thf(f54700,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f54699]) ).

thf(f54719,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f31,f13225]) ).

thf(f54734,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f54719]) ).

thf(f54772,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_68
    | ~ spl2_181 ),
    inference(constrained_superposition,[],[f4809,f999]) ).

thf(f54782,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_68
    | ~ spl2_181 ),
    inference(trivial_inequality_removal,[],[f54772]) ).

thf(f54785,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_68
    | ~ spl2_181 ),
    inference(forward_subsumption_resolution,[],[f54782,f201]) ).

thf(f54786,plain,
    ( ~ spl2_19
    | ~ spl2_68
    | ~ spl2_181 ),
    inference(avatar_contradiction_clause,[],[f54785]) ).

thf(f54977,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_383 ),
    inference(constrained_superposition,[],[f12919,f170]) ).

thf(f54984,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_383 ),
    inference(trivial_inequality_removal,[],[f54977]) ).

thf(f54991,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_286
    | ~ spl2_383 ),
    inference(forward_subsumption_resolution,[],[f54984,f8332]) ).

thf(f54994,plain,
    ( $false
    | ~ spl2_60
    | spl2_286
    | ~ spl2_383 ),
    inference(forward_subsumption_resolution,[],[f54991,f1191]) ).

thf(f54995,plain,
    ( ~ spl2_60
    | spl2_286
    | ~ spl2_383 ),
    inference(avatar_contradiction_clause,[],[f54994]) ).

thf(f55016,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_550 ),
    inference(constrained_superposition,[],[f20470,f171]) ).

thf(f55022,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_550 ),
    inference(trivial_inequality_removal,[],[f55016]) ).

thf(f55029,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_26
    | ~ spl2_550 ),
    inference(forward_subsumption_resolution,[],[f55022,f245]) ).

thf(f55033,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_26
    | spl2_288
    | ~ spl2_550 ),
    inference(forward_subsumption_resolution,[],[f55029,f36547]) ).

thf(f55035,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_39
    | spl2_288
    | ~ spl2_550 ),
    inference(forward_subsumption_resolution,[],[f55033,f386]) ).

thf(f55036,plain,
    ( ~ spl2_26
    | ~ spl2_39
    | spl2_288
    | ~ spl2_550 ),
    inference(avatar_contradiction_clause,[],[f55035]) ).

thf(f55055,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_73
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f54636,f1046]) ).

thf(f55059,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_7
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(constrained_superposition,[],[f54636,f109]) ).

thf(f55080,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_73
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f55055]) ).

thf(f55088,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_7
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(trivial_inequality_removal,[],[f55059]) ).

thf(f55091,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_4
    | ~ spl2_7
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(forward_subsumption_resolution,[],[f55088,f99]) ).

thf(f55092,plain,
    ( spl2_127
    | ~ spl2_4
    | ~ spl2_7
    | ~ spl2_19
    | ~ spl2_303 ),
    inference(avatar_split_clause,[],[f55091,f9419,f200,f108,f98,f3070]) ).

thf(f55097,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_608 ),
    inference(constrained_superposition,[],[f33014,f722]) ).

thf(f55103,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_608 ),
    inference(trivial_inequality_removal,[],[f55097]) ).

thf(f55141,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_39 ),
    inference(constrained_superposition,[],[f54436,f82]) ).

thf(f55143,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f54436,f11147]) ).

thf(f55146,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f55143]) ).

thf(f55148,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_39 ),
    inference(trivial_inequality_removal,[],[f55141]) ).

thf(f55170,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_433
    | ~ spl2_637 ),
    inference(constrained_superposition,[],[f54671,f722]) ).

thf(f55180,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_433
    | ~ spl2_637 ),
    inference(trivial_inequality_removal,[],[f55170]) ).

thf(f55191,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_106 ),
    inference(constrained_superposition,[],[f54428,f2449]) ).

thf(f55201,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_106 ),
    inference(trivial_inequality_removal,[],[f55191]) ).

thf(f55234,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_19
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f55201,f11147]) ).

thf(f55237,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_19
    | ~ spl2_106
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f55201,f8176]) ).

thf(f55246,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_106
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f55237]) ).

thf(f55248,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(duplicate_literal_removal,[],[f55234]) ).

thf(f55249,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f55248]) ).

thf(f55254,plain,
    ( spl2_37
    | ~ spl2_19
    | ~ spl2_106
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f55246,f8175,f2448,f200,f356]) ).

thf(f55256,plain,
    ( spl2_649
    | ~ spl2_19
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f55249,f8156,f2448,f200,f40498]) ).

thf(f55273,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_524
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f18674,f50161]) ).

thf(f55284,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_524
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f55273]) ).

thf(f55290,plain,
    ( spl2_618
    | ~ spl2_524
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f55284,f34334,f18673,f35782]) ).

thf(f55308,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f52815,f171]) ).

thf(f55315,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f55308]) ).

thf(f55371,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_286 ),
    inference(constrained_superposition,[],[f54607,f721]) ).

thf(f55375,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | spl2_286 ),
    inference(constrained_superposition,[],[f54607,f81]) ).

thf(f55381,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f55375]) ).

thf(f55386,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f55371]) ).

thf(f55404,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f47562,f1046]) ).

thf(f55408,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_7 ),
    inference(constrained_superposition,[],[f47562,f109]) ).

thf(f55423,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_4
    | ~ spl2_7 ),
    inference(duplicate_literal_removal,[],[f55408]) ).

thf(f55424,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_4
    | ~ spl2_7 ),
    inference(trivial_inequality_removal,[],[f55423]) ).

thf(f55443,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_73 ),
    inference(duplicate_literal_removal,[],[f55404]) ).

thf(f55444,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ sK1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f55443]) ).

thf(f55453,plain,
    ( spl2_127
    | spl2_23
    | ~ spl2_4
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f55424,f108,f98,f226,f3070]) ).

thf(f55455,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f51273,f82]) ).

thf(f55457,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true ) )
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f51273,f171]) ).

thf(f55463,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_67 ),
    inference(trivial_inequality_removal,[],[f55457]) ).

thf(f55464,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_67 ),
    inference(trivial_inequality_removal,[],[f55455]) ).

thf(f55473,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_106
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f54463,f2449]) ).

thf(f55474,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f54463,f171]) ).

thf(f55477,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( sK1
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_273
    | ~ spl2_499 ),
    inference(constrained_superposition,[],[f54463,f49006]) ).

thf(f55478,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_106
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f55473]) ).

thf(f55479,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f55474]) ).

thf(f55480,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( sK1
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_273
    | ~ spl2_499 ),
    inference(trivial_inequality_removal,[],[f55477]) ).

thf(f55488,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( sK1
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true ) )
    | ~ spl2_26
    | ~ spl2_273
    | ~ spl2_499 ),
    inference(forward_subsumption_resolution,[],[f55480,f245]) ).

thf(f55491,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true ) )
    | ~ spl2_26
    | ~ spl2_273
    | ~ spl2_499 ),
    inference(forward_subsumption_resolution,[],[f55488,f41]) ).

thf(f55493,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_26
    | ~ spl2_273
    | spl2_278
    | ~ spl2_499 ),
    inference(forward_subsumption_resolution,[],[f55491,f33016]) ).

thf(f55494,plain,
    ( spl2_216
    | spl2_282
    | ~ spl2_26
    | ~ spl2_273
    | spl2_278
    | ~ spl2_499 ),
    inference(avatar_split_clause,[],[f55493,f16705,f8232,f8175,f244,f8298,f5331]) ).

thf(f55502,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_216 ),
    inference(constrained_superposition,[],[f5332,f386]) ).

thf(f55514,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_216 ),
    inference(trivial_inequality_removal,[],[f55502]) ).

thf(f55518,plain,
    ( spl2_505
    | ~ spl2_39
    | ~ spl2_216 ),
    inference(avatar_split_clause,[],[f55514,f5331,f385,f17440]) ).

thf(f55579,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_391
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f13040,f13813]) ).

thf(f55581,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_391 ),
    inference(constrained_superposition,[],[f13040,f51]) ).

thf(f55583,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_391 ),
    inference(trivial_inequality_removal,[],[f55581]) ).

thf(f55587,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_391
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f55579]) ).

thf(f55658,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f54734,f721]) ).

thf(f55662,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f54734,f81]) ).

thf(f55666,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f55662]) ).

thf(f55675,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f55658]) ).

thf(f55687,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f54506,f171]) ).

thf(f55689,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_254
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f54506,f8026]) ).

thf(f55690,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( sK1
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_284
    | ~ spl2_499 ),
    inference(constrained_superposition,[],[f54506,f49006]) ).

thf(f55693,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_254
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f55689]) ).

thf(f55694,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( sK1
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_284
    | ~ spl2_499 ),
    inference(trivial_inequality_removal,[],[f55690]) ).

thf(f55697,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f55687]) ).

thf(f55700,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_73
    | ~ spl2_254
    | ~ spl2_284 ),
    inference(forward_subsumption_resolution,[],[f55693,f1046]) ).

thf(f55701,plain,
    ( spl2_132
    | ~ spl2_73
    | ~ spl2_254
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f55700,f8323,f8025,f1045,f3262]) ).

thf(f55720,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f54537,f721]) ).

thf(f55725,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f54537,f50]) ).

thf(f55732,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f55720]) ).

thf(f55734,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f55725]) ).

thf(f55736,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | spl2_255
    | ~ spl2_289 ),
    inference(forward_subsumption_resolution,[],[f55734,f32522]) ).

thf(f55740,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | spl2_255
    | ~ spl2_262
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f55736,f8093]) ).

thf(f55752,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | spl2_255
    | ~ spl2_262
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f55740]) ).

thf(f55753,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ~ spl2_115
    | spl2_255
    | ~ spl2_262
    | ~ spl2_289 ),
    inference(forward_subsumption_resolution,[],[f55752,f8168]) ).

thf(f55754,plain,
    ( ~ spl2_321
    | ~ spl2_115
    | spl2_255
    | ~ spl2_262
    | ~ spl2_289 ),
    inference(avatar_split_clause,[],[f55753,f8341,f8092,f8028,f2504,f10276]) ).

thf(f55758,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_261 ),
    inference(constrained_superposition,[],[f529,f8090]) ).

thf(f55775,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_261 ),
    inference(trivial_inequality_removal,[],[f55758]) ).

thf(f55778,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f53877,f721]) ).

thf(f55781,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f53877,f81]) ).

thf(f55782,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f53877,f50]) ).

thf(f55786,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f55782]) ).

thf(f55788,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f55781]) ).

thf(f55791,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f55778]) ).

thf(f55793,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | spl2_247
    | ~ spl2_614 ),
    inference(forward_subsumption_resolution,[],[f55786,f8208]) ).

thf(f55846,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_7
    | ~ spl2_463 ),
    inference(constrained_superposition,[],[f54483,f15158]) ).

thf(f55847,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_7
    | ~ spl2_106 ),
    inference(constrained_superposition,[],[f54483,f2449]) ).

thf(f55863,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_7
    | ~ spl2_463 ),
    inference(trivial_inequality_removal,[],[f55846]) ).

thf(f55874,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_7
    | ~ spl2_106 ),
    inference(trivial_inequality_removal,[],[f55847]) ).

thf(f55898,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_113
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f2490,f11147]) ).

thf(f55914,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_113
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f55898]) ).

thf(f55920,definition,
    ( spl2_685
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_685])],[avatar_definition]) ).

thf(f55921,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_685 ),
    inference(avatar_component_clause,[],[f55920]) ).

thf(f55942,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_113
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f55914,f82]) ).

thf(f55953,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_113
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f55942]) ).

thf(f56002,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_254
    | ~ spl2_292 ),
    inference(constrained_superposition,[],[f51305,f8026]) ).

thf(f56005,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_254
    | ~ spl2_292 ),
    inference(trivial_inequality_removal,[],[f56002]) ).

thf(f56014,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_254
    | ~ spl2_292 ),
    inference(forward_subsumption_resolution,[],[f56005,f999]) ).

thf(f56015,plain,
    ( spl2_340
    | ~ spl2_68
    | ~ spl2_254
    | ~ spl2_292 ),
    inference(avatar_split_clause,[],[f56014,f8422,f8025,f998,f10860]) ).

thf(f56017,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_392
    | ~ spl2_574 ),
    inference(constrained_superposition,[],[f24738,f13043]) ).

thf(f56028,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_392
    | ~ spl2_574 ),
    inference(trivial_inequality_removal,[],[f56017]) ).

thf(f56034,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(constrained_superposition,[],[f10861,f8435]) ).

thf(f56044,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(duplicate_literal_removal,[],[f56034]) ).

thf(f56045,plain,
    ( ! [X0: $i] :
        ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
       != $true )
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(trivial_inequality_removal,[],[f56044]) ).

thf(f56053,plain,
    ( ( $true != $true )
    | ~ spl2_254
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(constrained_superposition,[],[f56045,f8026]) ).

thf(f56058,plain,
    ( ( $true != $true )
    | ~ spl2_68
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(constrained_superposition,[],[f56045,f999]) ).

thf(f56063,plain,
    ( $false
    | ~ spl2_254
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(trivial_inequality_removal,[],[f56053]) ).

thf(f56064,plain,
    ( ~ spl2_254
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(avatar_contradiction_clause,[],[f56063]) ).

thf(f56068,plain,
    ( $false
    | ~ spl2_68
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(trivial_inequality_removal,[],[f56058]) ).

thf(f56069,plain,
    ( ~ spl2_68
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(avatar_contradiction_clause,[],[f56068]) ).

thf(f56181,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f54677,f722]) ).

thf(f56188,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f56181]) ).

thf(f56192,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_609 ),
    inference(constrained_superposition,[],[f33712,f11147]) ).

thf(f56207,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_273
    | ~ spl2_609 ),
    inference(constrained_superposition,[],[f33712,f8176]) ).

thf(f56220,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_609 ),
    inference(duplicate_literal_removal,[],[f56207]) ).

thf(f56221,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_609 ),
    inference(trivial_inequality_removal,[],[f56220]) ).

thf(f56231,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_609 ),
    inference(duplicate_literal_removal,[],[f56192]) ).

thf(f56232,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_268
    | ~ spl2_609 ),
    inference(trivial_inequality_removal,[],[f56231]) ).

thf(f56241,definition,
    ( spl2_687
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_687])],[avatar_definition]) ).

thf(f56242,plain,
    ( ! [X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_687 ),
    inference(avatar_component_clause,[],[f56241]) ).

thf(f56247,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_273
    | spl2_288
    | ~ spl2_609 ),
    inference(forward_subsumption_resolution,[],[f56221,f36547]) ).

thf(f56250,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_268
    | spl2_288
    | ~ spl2_609 ),
    inference(forward_subsumption_resolution,[],[f56232,f36547]) ).

thf(f56251,plain,
    ( spl2_687
    | ~ spl2_273
    | spl2_288
    | ~ spl2_609 ),
    inference(avatar_split_clause,[],[f56247,f33711,f8337,f8175,f56241]) ).

thf(f56252,plain,
    ( spl2_687
    | ~ spl2_268
    | spl2_288
    | ~ spl2_609 ),
    inference(avatar_split_clause,[],[f56250,f33711,f8337,f8156,f56241]) ).

thf(f56257,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f54700,f8086]) ).

thf(f56261,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f56257]) ).

thf(f56269,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_295
    | ~ spl2_395 ),
    inference(forward_subsumption_resolution,[],[f56261,f13055]) ).

thf(f56270,plain,
    ( spl2_417
    | ~ spl2_260
    | ~ spl2_295
    | ~ spl2_395 ),
    inference(avatar_split_clause,[],[f56269,f13054,f8434,f8085,f13408]) ).

thf(f56271,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_24
    | ~ spl2_411 ),
    inference(forward_subsumption_resolution,[],[f55666,f230]) ).

thf(f56272,plain,
    ( ~ spl2_402
    | ~ spl2_392
    | ~ spl2_574 ),
    inference(avatar_split_clause,[],[f56028,f24737,f13042,f13095]) ).

thf(f56273,plain,
    ( spl2_20
    | spl2_399
    | ~ spl2_24
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f56271,f13224,f229,f13084,f204]) ).

thf(f56274,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_261
    | ~ spl2_268 ),
    inference(forward_subsumption_resolution,[],[f55775,f11147]) ).

thf(f56275,plain,
    ( spl2_295
    | spl2_654
    | ~ spl2_289 ),
    inference(avatar_split_clause,[],[f55732,f8341,f44745,f8434]) ).

thf(f56276,plain,
    ( spl2_269
    | spl2_270
    | ~ spl2_261
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f56274,f8156,f8089,f8162,f8159]) ).

thf(f56322,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_198
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f52893,f13085]) ).

thf(f56324,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f47562,f13085]) ).

thf(f56325,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f54636,f13085]) ).

thf(f56328,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f56325]) ).

thf(f56332,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_198
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f56322]) ).

thf(f56333,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X0 @ sK1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_4
    | ~ spl2_399 ),
    inference(duplicate_literal_removal,[],[f56324]) ).

thf(f56334,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X0 @ sK1 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f56333]) ).

thf(f56335,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f56328,f99]) ).

thf(f56337,plain,
    ( spl2_400
    | ~ spl2_198
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f56332,f13084,f5104,f13088]) ).

thf(f56338,plain,
    ( spl2_23
    | spl2_400
    | ~ spl2_4
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f56334,f13084,f98,f13088,f226]) ).

thf(f56339,plain,
    ( spl2_400
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f56335,f13084,f9419,f200,f98,f13088]) ).

thf(f56340,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_400
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f54677,f13089]) ).

thf(f56369,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_400
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f56340]) ).

thf(f56399,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_384
    | ~ spl2_637 ),
    inference(constrained_superposition,[],[f53579,f38489]) ).

thf(f56400,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_384
    | ~ spl2_666 ),
    inference(constrained_superposition,[],[f48553,f38489]) ).

thf(f56412,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_384 ),
    inference(constrained_superposition,[],[f95,f38489]) ).

thf(f56415,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ~ spl2_384 ),
    inference(constrained_superposition,[],[f841,f38489]) ).

thf(f56424,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_384 ),
    inference(trivial_inequality_removal,[],[f56412]) ).

thf(f56428,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_384
    | ~ spl2_666 ),
    inference(trivial_inequality_removal,[],[f56400]) ).

thf(f56430,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_384 ),
    inference(trivial_inequality_removal,[],[f56415]) ).

thf(f56431,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_384
    | ~ spl2_637 ),
    inference(trivial_inequality_removal,[],[f56399]) ).

thf(f56450,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_289
    | ~ spl2_384
    | ~ spl2_637 ),
    inference(forward_subsumption_resolution,[],[f56431,f8342]) ).

thf(f56453,plain,
    ( $false
    | ~ spl2_76
    | spl2_286
    | ~ spl2_289
    | ~ spl2_384
    | ~ spl2_637 ),
    inference(forward_subsumption_resolution,[],[f56450,f54569]) ).

thf(f56454,plain,
    ( ~ spl2_76
    | spl2_286
    | ~ spl2_289
    | ~ spl2_384
    | ~ spl2_637 ),
    inference(avatar_contradiction_clause,[],[f56453]) ).

thf(f56456,plain,
    ( ~ spl2_26
    | spl2_216
    | ~ spl2_106
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f55478,f8175,f2448,f5331,f244]) ).

thf(f56458,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_60
    | ~ spl2_433
    | ~ spl2_637 ),
    inference(forward_subsumption_resolution,[],[f55180,f1191]) ).

thf(f56459,plain,
    ( spl2_23
    | spl2_82
    | ~ spl2_4
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f55444,f1045,f98,f1224,f226]) ).

thf(f56460,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( sK1
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_273
    | spl2_278
    | ~ spl2_499 ),
    inference(forward_subsumption_resolution,[],[f55480,f33016]) ).

thf(f56461,plain,
    ( ~ spl2_76
    | spl2_392
    | spl2_494
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f56188,f13812,f16616,f13042,f1058]) ).

thf(f56462,plain,
    ( spl2_82
    | ~ spl2_73
    | ~ spl2_198 ),
    inference(avatar_split_clause,[],[f53304,f5104,f1045,f1224]) ).

thf(f56466,plain,
    ( spl2_76
    | spl2_216
    | ~ spl2_26
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f55315,f1045,f244,f5331,f1058]) ).

thf(f56468,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_73
    | ~ spl2_303 ),
    inference(forward_subsumption_resolution,[],[f55080,f99]) ).

thf(f56472,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_39
    | ~ spl2_135 ),
    inference(forward_subsumption_resolution,[],[f51083,f386]) ).

thf(f56479,plain,
    ( ~ spl2_82
    | ~ spl2_21
    | ~ spl2_289
    | ~ spl2_655 ),
    inference(avatar_split_clause,[],[f54546,f44750,f8341,f207,f1224]) ).

thf(f56480,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | spl2_269
    | ~ spl2_284 ),
    inference(forward_subsumption_resolution,[],[f55697,f32112]) ).

thf(f56482,plain,
    ( ~ spl2_58
    | spl2_248
    | ~ spl2_82
    | ~ spl2_608 ),
    inference(avatar_split_clause,[],[f55103,f33013,f1224,f7987,f964]) ).

thf(f56484,plain,
    ( spl2_474
    | ~ spl2_475
    | spl2_26
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f54674,f13812,f244,f15713,f15710]) ).

thf(f56490,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( sK1
          = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_284
    | spl2_292
    | ~ spl2_499 ),
    inference(forward_subsumption_resolution,[],[f55694,f33727]) ).

thf(f56491,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_7
    | ~ spl2_106
    | spl2_247 ),
    inference(forward_subsumption_resolution,[],[f55874,f8208]) ).

thf(f56492,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_39
    | ~ spl2_67 ),
    inference(forward_subsumption_resolution,[],[f55463,f386]) ).

thf(f56497,plain,
    ( spl2_474
    | ~ spl2_21
    | ~ spl2_400
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f56369,f13812,f13088,f207,f15710]) ).

thf(f56498,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | spl2_288 ),
    inference(forward_subsumption_resolution,[],[f55479,f36547]) ).

thf(f56500,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_7
    | spl2_389
    | ~ spl2_463 ),
    inference(forward_subsumption_resolution,[],[f55863,f13218]) ).

thf(f56503,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_288
    | ~ spl2_653 ),
    inference(forward_subsumption_resolution,[],[f54087,f36547]) ).

thf(f56504,plain,
    ( ~ spl2_8
    | ~ spl2_21
    | ~ spl2_289
    | ~ spl2_660 ),
    inference(avatar_split_clause,[],[f54541,f45161,f8341,f207,f111]) ).

thf(f56505,plain,
    ( spl2_532
    | spl2_82
    | ~ spl2_254 ),
    inference(avatar_split_clause,[],[f53019,f8025,f1224,f18943]) ).

thf(f56509,plain,
    ( spl2_392
    | ~ spl2_82
    | ~ spl2_60
    | ~ spl2_433
    | ~ spl2_637 ),
    inference(avatar_split_clause,[],[f56458,f38666,f13812,f971,f1224,f13042]) ).

thf(f56510,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | spl2_278
    | ~ spl2_499 ),
    inference(forward_subsumption_resolution,[],[f56460,f41]) ).

thf(f56513,plain,
    ( spl2_82
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_73
    | ~ spl2_303 ),
    inference(avatar_split_clause,[],[f56468,f9419,f1045,f200,f98,f1224]) ).

thf(f56515,plain,
    ( ~ spl2_26
    | spl2_76
    | ~ spl2_39
    | ~ spl2_135 ),
    inference(avatar_split_clause,[],[f56472,f3731,f385,f1058,f244]) ).

thf(f56518,plain,
    ( spl2_216
    | ~ spl2_26
    | spl2_269
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f56480,f8323,f8159,f244,f5331]) ).

thf(f56525,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_284
    | spl2_292
    | ~ spl2_499 ),
    inference(forward_subsumption_resolution,[],[f56490,f41]) ).

thf(f56526,plain,
    ( ~ spl2_26
    | spl2_216
    | ~ spl2_7
    | ~ spl2_106
    | spl2_247 ),
    inference(avatar_split_clause,[],[f56491,f7984,f2448,f108,f5331,f244]) ).

thf(f56527,plain,
    ( spl2_141
    | spl2_76
    | ~ spl2_39
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f56492,f994,f385,f1058,f3865]) ).

thf(f56534,plain,
    ( spl2_216
    | ~ spl2_26
    | ~ spl2_273
    | spl2_288 ),
    inference(avatar_split_clause,[],[f56498,f8337,f8175,f244,f5331]) ).

thf(f56536,plain,
    ( spl2_216
    | ~ spl2_26
    | ~ spl2_7
    | spl2_389
    | ~ spl2_463 ),
    inference(avatar_split_clause,[],[f56500,f15157,f13029,f108,f244,f5331]) ).

thf(f56538,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_39
    | spl2_288
    | ~ spl2_653 ),
    inference(forward_subsumption_resolution,[],[f56503,f386]) ).

thf(f56541,plain,
    ( spl2_282
    | ~ spl2_26
    | spl2_216
    | ~ spl2_273
    | spl2_278
    | ~ spl2_499 ),
    inference(avatar_split_clause,[],[f56510,f16705,f8232,f8175,f5331,f244,f8298]) ).

thf(f56548,plain,
    ( ~ spl2_26
    | spl2_216
    | spl2_296
    | ~ spl2_284
    | spl2_292
    | ~ spl2_499 ),
    inference(avatar_split_clause,[],[f56525,f16705,f8422,f8323,f8440,f5331,f244]) ).

thf(f56550,plain,
    ( ~ spl2_96
    | ~ spl2_39
    | spl2_288
    | ~ spl2_653 ),
    inference(avatar_split_clause,[],[f56538,f44379,f8337,f385,f1519]) ).

thf(f56559,plain,
    ( ~ spl2_58
    | spl2_393
    | ~ spl2_362
    | ~ spl2_391 ),
    inference(avatar_split_clause,[],[f55583,f13039,f11611,f13047,f964]) ).

thf(f56560,plain,
    ( spl2_349
    | spl2_520
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f55791,f34334,f18223,f10983]) ).

thf(f56563,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_24
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f55381,f230]) ).

thf(f56567,plain,
    ( spl2_284
    | ~ spl2_63
    | spl2_64
    | ~ spl2_384 ),
    inference(avatar_split_clause,[],[f56424,f12921,f984,f981,f8323]) ).

thf(f56570,definition,
    ( spl2_690
  <=> ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_690])],[avatar_definition]) ).

thf(f56571,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_690 ),
    inference(avatar_component_clause,[],[f56570]) ).

thf(f56572,plain,
    ( spl2_690
    | spl2_273
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f55788,f34334,f8175,f56570]) ).

thf(f56576,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_60
    | ~ spl2_411 ),
    inference(forward_subsumption_resolution,[],[f55675,f1191]) ).

thf(f56577,plain,
    ( ~ spl2_21
    | spl2_73
    | spl2_20
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f48734,f971,f204,f1045,f207]) ).

thf(f56578,plain,
    ( ~ spl2_116
    | spl2_105
    | spl2_82
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f55464,f994,f1224,f2305,f2543]) ).

thf(f56579,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_60
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f55386,f1191]) ).

thf(f56581,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_60
    | ~ spl2_391
    | ~ spl2_433 ),
    inference(forward_subsumption_resolution,[],[f55587,f1191]) ).

thf(f56585,plain,
    ( spl2_284
    | spl2_20
    | ~ spl2_24
    | spl2_286 ),
    inference(avatar_split_clause,[],[f56563,f8331,f229,f204,f8323]) ).

thf(f56588,plain,
    ( spl2_61
    | spl2_395
    | ~ spl2_60
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f56576,f13224,f971,f13054,f974]) ).

thf(f56589,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_60
    | spl2_286
    | spl2_295 ),
    inference(forward_subsumption_resolution,[],[f56579,f31673]) ).

thf(f56590,plain,
    ( ~ spl2_288
    | ~ spl2_60
    | ~ spl2_391
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f56581,f13812,f13039,f971,f8337]) ).

thf(f56592,plain,
    ( spl2_61
    | ~ spl2_60
    | spl2_286
    | spl2_295 ),
    inference(avatar_split_clause,[],[f56589,f8434,f8331,f971,f974]) ).

thf(f56594,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_614 ),
    inference(forward_subsumption_resolution,[],[f53880,f41]) ).

thf(f56598,plain,
    ( ~ spl2_89
    | spl2_349
    | ~ spl2_322 ),
    inference(avatar_split_clause,[],[f51625,f10282,f10983,f1337]) ).

thf(f56599,plain,
    ( ~ spl2_385
    | ~ spl2_269
    | ~ spl2_384
    | ~ spl2_666 ),
    inference(avatar_split_clause,[],[f56428,f48552,f12921,f8159,f12926]) ).

thf(f56604,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_384 ),
    inference(forward_subsumption_resolution,[],[f56430,f41]) ).

thf(f56606,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_278
    | ~ spl2_614 ),
    inference(forward_subsumption_resolution,[],[f56594,f33016]) ).

thf(f56611,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_255
    | ~ spl2_384 ),
    inference(forward_subsumption_resolution,[],[f56604,f32522]) ).

thf(f56613,plain,
    ( spl2_67
    | ~ spl2_321
    | spl2_68
    | spl2_278
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f56606,f34334,f8232,f998,f10276,f994]) ).

thf(f56615,plain,
    ( ~ spl2_58
    | spl2_292
    | spl2_67
    | spl2_255
    | ~ spl2_384 ),
    inference(avatar_split_clause,[],[f56611,f12921,f8028,f994,f8422,f964]) ).

thf(f56620,plain,
    ( spl2_273
    | ~ spl2_14
    | ~ spl2_322 ),
    inference(avatar_split_clause,[],[f51622,f10282,f157,f8175]) ).

thf(f56830,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_268
    | ~ spl2_687 ),
    inference(constrained_superposition,[],[f56242,f11147]) ).

thf(f56835,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_268
    | ~ spl2_687 ),
    inference(trivial_inequality_removal,[],[f56830]) ).

thf(f56837,plain,
    ( $false
    | ~ spl2_268
    | ~ spl2_273
    | ~ spl2_687 ),
    inference(forward_subsumption_resolution,[],[f56835,f8176]) ).

thf(f56838,plain,
    ( ~ spl2_268
    | ~ spl2_273
    | ~ spl2_687 ),
    inference(avatar_contradiction_clause,[],[f56837]) ).

thf(f57009,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | spl2_247
    | ~ spl2_266
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f55793,f8107]) ).

thf(f57035,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | spl2_247
    | ~ spl2_266
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f57009]) ).

thf(f57054,definition,
    ( spl2_691
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_691])],[avatar_definition]) ).

thf(f57055,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | spl2_691 ),
    inference(avatar_component_clause,[],[f57054]) ).

thf(f57056,plain,
    ( ~ spl2_297
    | ~ spl2_691
    | spl2_247
    | ~ spl2_266
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f57035,f34334,f8106,f7984,f57054,f8444]) ).

thf(f57070,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl2_691 ),
    inference(constrained_superposition,[],[f57055,f722]) ).

thf(f57072,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_691 ),
    inference(constrained_superposition,[],[f57055,f52]) ).

thf(f57075,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_691 ),
    inference(trivial_inequality_removal,[],[f57070]) ).

thf(f57076,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_691 ),
    inference(trivial_inequality_removal,[],[f57072]) ).

thf(f57079,plain,
    ( spl2_254
    | spl2_691 ),
    inference(avatar_split_clause,[],[f57075,f57054,f8025]) ).

thf(f57080,plain,
    ( spl2_282
    | spl2_254
    | spl2_691 ),
    inference(avatar_split_clause,[],[f57076,f57054,f8025,f8298]) ).

thf(f57096,plain,
    ( spl2_15
    | ~ spl2_33
    | spl2_68
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f54168,f971,f998,f317,f187]) ).

thf(f57149,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f95,f1059]) ).

thf(f57171,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f57149]) ).

thf(f57182,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | spl2_26
    | ~ spl2_76 ),
    inference(forward_subsumption_resolution,[],[f57171,f5365]) ).

thf(f57184,plain,
    ( spl2_64
    | ~ spl2_63
    | spl2_26
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f57182,f1058,f244,f981,f984]) ).

thf(f57323,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_60
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f985,f1191]) ).

thf(f57324,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f985,f170]) ).

thf(f57330,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f57324]) ).

thf(f57334,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_60
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f57323]) ).

thf(f57338,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_64
    | spl2_86 ),
    inference(forward_subsumption_resolution,[],[f57330,f52933]) ).

thf(f57339,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_60
    | ~ spl2_64 ),
    inference(forward_subsumption_resolution,[],[f57334,f230]) ).

thf(f57340,plain,
    ( ~ spl2_24
    | ~ spl2_60
    | ~ spl2_64 ),
    inference(avatar_contradiction_clause,[],[f57339]) ).

thf(f57341,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_64
    | spl2_86 ),
    inference(forward_subsumption_resolution,[],[f57338,f230]) ).

thf(f57342,plain,
    ( ~ spl2_24
    | ~ spl2_64
    | spl2_86 ),
    inference(avatar_contradiction_clause,[],[f57341]) ).

thf(f57451,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f529,f10984]) ).

thf(f57455,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f57451]) ).

thf(f57460,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_268
    | ~ spl2_349 ),
    inference(forward_subsumption_resolution,[],[f57455,f11147]) ).

thf(f57754,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_395
    | ~ spl2_412 ),
    inference(constrained_superposition,[],[f13231,f13055]) ).

thf(f57761,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_395
    | ~ spl2_412 ),
    inference(trivial_inequality_removal,[],[f57754]) ).

thf(f57766,plain,
    ( $false
    | ~ spl2_67
    | ~ spl2_395
    | ~ spl2_412 ),
    inference(forward_subsumption_resolution,[],[f57761,f995]) ).

thf(f57767,plain,
    ( ~ spl2_67
    | ~ spl2_395
    | ~ spl2_412 ),
    inference(avatar_contradiction_clause,[],[f57766]) ).

thf(f57769,plain,
    ( spl2_121
    | spl2_115
    | ~ spl2_49
    | ~ spl2_113
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f55953,f8156,f2489,f516,f2504,f2681]) ).

thf(f57772,plain,
    ( ~ spl2_116
    | spl2_24
    | spl2_117
    | ~ spl2_39 ),
    inference(avatar_split_clause,[],[f55148,f385,f2548,f229,f2543]) ).

thf(f57780,plain,
    ( spl2_274
    | ~ spl2_247
    | ~ spl2_39
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f55146,f8156,f385,f7984,f8206]) ).

thf(f57783,plain,
    ( spl2_351
    | spl2_76
    | ~ spl2_268
    | ~ spl2_349 ),
    inference(avatar_split_clause,[],[f57460,f10983,f8156,f1058,f11012]) ).

thf(f57831,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_68 ),
    inference(constrained_superposition,[],[f30,f999]) ).

thf(f57832,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X2 @ sK1 ) )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_68 ),
    inference(trivial_inequality_removal,[],[f57831]) ).

thf(f57835,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_39
    | ~ spl2_49 ),
    inference(constrained_superposition,[],[f54436,f2145]) ).

thf(f57838,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true ) )
    | ~ spl2_39
    | ~ spl2_49 ),
    inference(trivial_inequality_removal,[],[f57835]) ).

thf(f57839,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_39
    | ~ spl2_49
    | ~ spl2_116 ),
    inference(forward_subsumption_resolution,[],[f57838,f2556]) ).

thf(f57840,plain,
    ( spl2_117
    | ~ spl2_39
    | ~ spl2_49
    | ~ spl2_116 ),
    inference(avatar_split_clause,[],[f57839,f2543,f516,f385,f2548]) ).

thf(f57888,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_113
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f2490,f7985]) ).

thf(f57891,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_113
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f57888]) ).

thf(f57894,plain,
    ( spl2_685
    | ~ spl2_113
    | ~ spl2_247 ),
    inference(avatar_split_clause,[],[f57891,f7984,f2489,f55920]) ).

thf(f57900,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_666 ),
    inference(constrained_superposition,[],[f48553,f1059]) ).

thf(f57903,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true != $true ) )
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f564,f1059]) ).

thf(f57904,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f75,f1059]) ).

thf(f57905,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f95,f1059]) ).

thf(f57909,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f58,f1059]) ).

thf(f57918,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f57904]) ).

thf(f57920,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f57903]) ).

thf(f57924,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_76
    | ~ spl2_666 ),
    inference(duplicate_literal_removal,[],[f57900]) ).

thf(f57925,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_76
    | ~ spl2_666 ),
    inference(trivial_inequality_removal,[],[f57924]) ).

thf(f57930,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f57909]) ).

thf(f57931,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f57905]) ).

thf(f57936,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | spl2_67
    | ~ spl2_76 ),
    inference(forward_subsumption_resolution,[],[f57920,f16058]) ).

thf(f57940,plain,
    ( ~ spl2_33
    | spl2_128
    | spl2_67
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f57936,f1058,f994,f3195,f317]) ).

thf(f57944,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( r @ X1 @ sK1 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_595 ),
    inference(constrained_superposition,[],[f564,f29056]) ).

thf(f57964,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ X1 @ sK1 ) ) )
    | ~ spl2_595 ),
    inference(trivial_inequality_removal,[],[f57944]) ).

thf(f57977,plain,
    ( spl2_208
    | spl2_128
    | ~ spl2_33
    | ~ spl2_595 ),
    inference(avatar_split_clause,[],[f57964,f29055,f317,f3195,f5162]) ).

thf(f57981,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true ) )
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f564,f8168]) ).

thf(f57982,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f75,f8168]) ).

thf(f57998,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f57981]) ).

thf(f58004,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f57982]) ).

thf(f58012,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_115
    | spl2_278 ),
    inference(forward_subsumption_resolution,[],[f57998,f33016]) ).

thf(f58013,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_115
    | spl2_278 ),
    inference(forward_subsumption_resolution,[],[f58004,f33016]) ).

thf(f58015,plain,
    ( ~ spl2_14
    | spl2_204
    | ~ spl2_115
    | spl2_278 ),
    inference(avatar_split_clause,[],[f58012,f8232,f2504,f5146,f157]) ).

thf(f58016,plain,
    ( ~ spl2_14
    | spl2_112
    | ~ spl2_115
    | spl2_278 ),
    inference(avatar_split_clause,[],[f58013,f8232,f2504,f2477,f157]) ).

thf(f58157,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_61 ),
    inference(constrained_superposition,[],[f975,f81]) ).

thf(f58165,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_61 ),
    inference(trivial_inequality_removal,[],[f58157]) ).

thf(f58216,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_5 ),
    inference(constrained_superposition,[],[f102,f722]) ).

thf(f58217,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_5
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f102,f1191]) ).

thf(f58219,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_5
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f102,f1059]) ).

thf(f58231,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl2_5 ),
    inference(trivial_inequality_removal,[],[f58216]) ).

thf(f58235,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_5
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f58217]) ).

thf(f58236,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_5
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f58219]) ).

thf(f58244,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_26
    | ~ spl2_94 ),
    inference(constrained_superposition,[],[f1475,f245]) ).

thf(f58256,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_26
    | ~ spl2_94 ),
    inference(trivial_inequality_removal,[],[f58244]) ).

thf(f58258,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_26
    | ~ spl2_94
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f58256,f13085]) ).

thf(f58262,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_26
    | ~ spl2_94
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f58258]) ).

thf(f58265,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_94
    | ~ spl2_393
    | ~ spl2_399 ),
    inference(forward_subsumption_resolution,[],[f58262,f13048]) ).

thf(f58266,plain,
    ( ~ spl2_26
    | ~ spl2_94
    | ~ spl2_393
    | ~ spl2_399 ),
    inference(avatar_contradiction_clause,[],[f58265]) ).

thf(f58270,plain,
    ( $false
    | spl2_288
    | ~ spl2_595 ),
    inference(forward_subsumption_resolution,[],[f36547,f29056]) ).

thf(f58271,plain,
    ( spl2_288
    | ~ spl2_595 ),
    inference(avatar_contradiction_clause,[],[f58270]) ).

thf(f58275,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_78
    | ~ spl2_505 ),
    inference(constrained_superposition,[],[f17441,f1068]) ).

thf(f58278,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_49
    | ~ spl2_505 ),
    inference(constrained_superposition,[],[f17441,f2145]) ).

thf(f58286,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_49
    | ~ spl2_505 ),
    inference(trivial_inequality_removal,[],[f58278]) ).

thf(f58287,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_78
    | ~ spl2_505 ),
    inference(trivial_inequality_removal,[],[f58275]) ).

thf(f58294,plain,
    ( $false
    | ~ spl2_39
    | ~ spl2_49
    | ~ spl2_505 ),
    inference(forward_subsumption_resolution,[],[f58286,f386]) ).

thf(f58295,plain,
    ( ~ spl2_39
    | ~ spl2_49
    | ~ spl2_505 ),
    inference(avatar_contradiction_clause,[],[f58294]) ).

thf(f58296,plain,
    ( $false
    | ~ spl2_68
    | ~ spl2_78
    | ~ spl2_505 ),
    inference(forward_subsumption_resolution,[],[f58287,f999]) ).

thf(f58297,plain,
    ( ~ spl2_68
    | ~ spl2_78
    | ~ spl2_505 ),
    inference(avatar_contradiction_clause,[],[f58296]) ).

thf(f58300,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true != $true ) )
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f564,f8342]) ).

thf(f58301,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f75,f8342]) ).

thf(f58323,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f58300]) ).

thf(f58324,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f58301]) ).

thf(f58331,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_289
    | spl2_292 ),
    inference(forward_subsumption_resolution,[],[f58323,f33727]) ).

thf(f58332,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_289
    | spl2_292 ),
    inference(forward_subsumption_resolution,[],[f58324,f33727]) ).

thf(f58335,plain,
    ( ~ spl2_14
    | spl2_204
    | ~ spl2_289
    | spl2_292 ),
    inference(avatar_split_clause,[],[f58331,f8422,f8341,f5146,f157]) ).

thf(f58336,plain,
    ( ~ spl2_14
    | spl2_428
    | ~ spl2_289
    | spl2_292 ),
    inference(avatar_split_clause,[],[f58332,f8422,f8341,f13704,f157]) ).

thf(f58364,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f75,f8160]) ).

thf(f58394,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f58364]) ).

thf(f58398,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_269
    | spl2_292 ),
    inference(forward_subsumption_resolution,[],[f58394,f33727]) ).

thf(f58400,plain,
    ( spl2_386
    | ~ spl2_33
    | ~ spl2_269
    | spl2_292 ),
    inference(avatar_split_clause,[],[f58398,f8422,f8159,f317,f12929]) ).

thf(f58452,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_204 ),
    inference(constrained_superposition,[],[f5147,f27]) ).

thf(f58455,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ X0 @ sK1 )
          = $true )
        | ( sK1 = X0 )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_204 ),
    inference(trivial_inequality_removal,[],[f58452]) ).

thf(f58462,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_437
    | ~ spl2_666 ),
    inference(constrained_superposition,[],[f48553,f17686]) ).

thf(f58466,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f75,f17686]) ).

thf(f58471,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f95,f17686]) ).

thf(f58490,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f58471]) ).

thf(f58497,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_437
    | ~ spl2_666 ),
    inference(trivial_inequality_removal,[],[f58462]) ).

thf(f58501,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f58466]) ).

thf(f58516,plain,
    ( spl2_26
    | ~ spl2_82
    | ~ spl2_33
    | ~ spl2_5
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f58236,f1058,f101,f317,f1224,f244]) ).

thf(f58517,plain,
    ( spl2_455
    | spl2_73
    | ~ spl2_89
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f58231,f101,f1337,f1045,f14745]) ).

thf(f58518,plain,
    ( ~ spl2_21
    | spl2_73
    | ~ spl2_61 ),
    inference(avatar_split_clause,[],[f58165,f974,f1045,f207]) ).

thf(f58523,plain,
    ( spl2_26
    | ~ spl2_63
    | spl2_64
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f57931,f1058,f984,f981,f244]) ).

thf(f58524,plain,
    ( spl2_73
    | ~ spl2_24
    | spl2_20
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f54176,f971,f204,f229,f1045]) ).

thf(f58525,plain,
    ( spl2_73
    | ~ spl2_24
    | ~ spl2_89
    | ~ spl2_5
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f58235,f971,f101,f1337,f229,f1045]) ).

thf(f58532,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | spl2_399
    | ~ spl2_437 ),
    inference(forward_subsumption_resolution,[],[f58490,f14795]) ).

thf(f58535,plain,
    ( ~ spl2_63
    | spl2_64
    | spl2_399
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f58532,f13998,f13084,f984,f981]) ).

thf(f58590,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f58,f9421]) ).

thf(f58591,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f31,f9421]) ).

thf(f58604,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f58591]) ).

thf(f58612,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f58590]) ).

thf(f58659,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_286
    | ~ spl2_687 ),
    inference(constrained_superposition,[],[f56242,f8424]) ).

thf(f58668,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_286
    | ~ spl2_687 ),
    inference(trivial_inequality_removal,[],[f58659]) ).

thf(f58671,plain,
    ( $false
    | ~ spl2_284
    | ~ spl2_286
    | ~ spl2_687 ),
    inference(forward_subsumption_resolution,[],[f58668,f8324]) ).

thf(f58672,plain,
    ( ~ spl2_284
    | ~ spl2_286
    | ~ spl2_687 ),
    inference(avatar_contradiction_clause,[],[f58671]) ).

thf(f58853,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(constrained_superposition,[],[f28937,f1046]) ).

thf(f58863,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(trivial_inequality_removal,[],[f58853]) ).

thf(f58875,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f75,f10195]) ).

thf(f58879,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_5
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f102,f10195]) ).

thf(f58884,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f58,f10195]) ).

thf(f58903,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f58875]) ).

thf(f58906,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f58884]) ).

thf(f58911,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_5
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f58879]) ).

thf(f58918,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_316 ),
    inference(constrained_superposition,[],[f529,f10206]) ).

thf(f58919,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_276
    | ~ spl2_316 ),
    inference(constrained_superposition,[],[f8217,f10206]) ).

thf(f58925,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_316 ),
    inference(trivial_inequality_removal,[],[f58918]) ).

thf(f58928,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_276
    | ~ spl2_316 ),
    inference(trivial_inequality_removal,[],[f58919]) ).

thf(f58929,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_268
    | ~ spl2_316 ),
    inference(forward_subsumption_resolution,[],[f58925,f11147]) ).

thf(f58930,plain,
    ( $false
    | ~ spl2_276
    | ~ spl2_316
    | ~ spl2_393 ),
    inference(forward_subsumption_resolution,[],[f58928,f13048]) ).

thf(f58931,plain,
    ( ~ spl2_276
    | ~ spl2_316
    | ~ spl2_393 ),
    inference(avatar_contradiction_clause,[],[f58930]) ).

thf(f58969,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f953,f8083]) ).

thf(f58970,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f183,f8083]) ).

thf(f58976,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true != $true ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f58,f8083]) ).

thf(f58986,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f58970]) ).

thf(f58990,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f58969]) ).

thf(f59003,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f58976]) ).

thf(f59119,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_461 ),
    inference(constrained_superposition,[],[f15092,f721]) ).

thf(f59133,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_461 ),
    inference(trivial_inequality_removal,[],[f59119]) ).

thf(f59163,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_437
    | ~ spl2_620 ),
    inference(constrained_superposition,[],[f35896,f17686]) ).

thf(f59170,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_437
    | ~ spl2_620 ),
    inference(trivial_inequality_removal,[],[f59163]) ).

thf(f59182,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_601 ),
    inference(constrained_superposition,[],[f32102,f51]) ).

thf(f59190,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_601 ),
    inference(trivial_inequality_removal,[],[f59182]) ).

thf(f59196,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_313
    | ~ spl2_624 ),
    inference(constrained_superposition,[],[f36554,f10195]) ).

thf(f59199,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_624 ),
    inference(constrained_superposition,[],[f36554,f51]) ).

thf(f59201,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_313
    | ~ spl2_624 ),
    inference(trivial_inequality_removal,[],[f59196]) ).

thf(f59205,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_624 ),
    inference(trivial_inequality_removal,[],[f59199]) ).

thf(f59263,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f58604,f50]) ).

thf(f59270,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true ) )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f59263]) ).

thf(f59370,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_313
    | ~ spl2_690 ),
    inference(constrained_superposition,[],[f56571,f10195]) ).

thf(f59381,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_313
    | ~ spl2_690 ),
    inference(trivial_inequality_removal,[],[f59370]) ).

thf(f59382,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | spl2_676 ),
    inference(avatar_component_clause,[],[f50252]) ).

thf(f59383,plain,
    ( ~ spl2_475
    | ~ spl2_676
    | ~ spl2_313
    | ~ spl2_690 ),
    inference(avatar_split_clause,[],[f59381,f56570,f10194,f50252,f15713]) ).

thf(f59384,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | spl2_676 ),
    inference(constrained_superposition,[],[f59382,f722]) ).

thf(f59386,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_676 ),
    inference(constrained_superposition,[],[f59382,f52]) ).

thf(f59390,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | spl2_676 ),
    inference(trivial_inequality_removal,[],[f59384]) ).

thf(f59391,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_676 ),
    inference(trivial_inequality_removal,[],[f59386]) ).

thf(f59421,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_685 ),
    inference(constrained_superposition,[],[f55921,f82]) ).

thf(f59431,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true ) )
    | ~ spl2_685 ),
    inference(trivial_inequality_removal,[],[f59421]) ).

thf(f59445,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f57832,f1068]) ).

thf(f59446,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_68 ),
    inference(constrained_superposition,[],[f57832,f82]) ).

thf(f59450,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true ) )
    | ~ spl2_68 ),
    inference(trivial_inequality_removal,[],[f59446]) ).

thf(f59454,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(trivial_inequality_removal,[],[f59445]) ).

thf(f59463,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_259
    | ~ spl2_655 ),
    inference(constrained_superposition,[],[f44751,f8083]) ).

thf(f59467,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_259
    | ~ spl2_655 ),
    inference(trivial_inequality_removal,[],[f59463]) ).

thf(f59508,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_204
    | spl2_399 ),
    inference(constrained_superposition,[],[f14795,f58455]) ).

thf(f59534,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_204
    | spl2_399 ),
    inference(trivial_inequality_removal,[],[f59508]) ).

thf(f59538,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_204
    | spl2_389
    | spl2_399 ),
    inference(forward_subsumption_resolution,[],[f59534,f13218]) ).

thf(f59540,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_204
    | spl2_389
    | spl2_399 ),
    inference(forward_subsumption_resolution,[],[f59538,f41]) ).

thf(f59542,plain,
    ( spl2_439
    | ~ spl2_204
    | spl2_389
    | spl2_399 ),
    inference(avatar_split_clause,[],[f59540,f13084,f13029,f5146,f14118]) ).

thf(f59543,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_259
    | ~ spl2_437
    | ~ spl2_655 ),
    inference(forward_subsumption_resolution,[],[f59467,f17686]) ).

thf(f59544,plain,
    ( ~ spl2_475
    | ~ spl2_433
    | ~ spl2_313
    | ~ spl2_624 ),
    inference(avatar_split_clause,[],[f59201,f36553,f10194,f13812,f15713]) ).

thf(f59545,plain,
    ( ~ spl2_475
    | ~ spl2_433
    | ~ spl2_437
    | ~ spl2_620 ),
    inference(avatar_split_clause,[],[f59170,f35895,f13998,f13812,f15713]) ).

thf(f59546,plain,
    ( spl2_433
    | spl2_442
    | ~ spl2_268
    | ~ spl2_316 ),
    inference(avatar_split_clause,[],[f58929,f10205,f8156,f14372,f13812]) ).

thf(f59551,plain,
    ( ~ spl2_411
    | ~ spl2_433
    | ~ spl2_437
    | ~ spl2_666 ),
    inference(avatar_split_clause,[],[f58497,f48552,f13998,f13812,f13224]) ).

thf(f59554,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_5
    | ~ spl2_115
    | ~ spl2_313 ),
    inference(forward_subsumption_resolution,[],[f58911,f8168]) ).

thf(f59555,plain,
    ( ~ spl2_433
    | ~ spl2_259
    | ~ spl2_437
    | ~ spl2_655 ),
    inference(avatar_split_clause,[],[f59543,f44750,f13998,f8082,f13812]) ).

thf(f59562,plain,
    ( spl2_399
    | ~ spl2_422
    | ~ spl2_5
    | ~ spl2_115
    | ~ spl2_313 ),
    inference(avatar_split_clause,[],[f59554,f10194,f2504,f101,f13627,f13084]) ).

thf(f59564,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_399
    | ~ spl2_594 ),
    inference(constrained_superposition,[],[f58863,f13085]) ).

thf(f59565,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_399
    | ~ spl2_652 ),
    inference(constrained_superposition,[],[f44073,f13085]) ).

thf(f59571,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_73
    | ~ spl2_399
    | ~ spl2_594 ),
    inference(trivial_inequality_removal,[],[f59564]) ).

thf(f59572,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_399
    | ~ spl2_652 ),
    inference(trivial_inequality_removal,[],[f59565]) ).

thf(f59574,plain,
    ( $false
    | ~ spl2_73
    | ~ spl2_393
    | ~ spl2_399
    | ~ spl2_594 ),
    inference(forward_subsumption_resolution,[],[f59571,f13048]) ).

thf(f59575,plain,
    ( ~ spl2_73
    | ~ spl2_393
    | ~ spl2_399
    | ~ spl2_594 ),
    inference(avatar_contradiction_clause,[],[f59574]) ).

thf(f59576,plain,
    ( spl2_67
    | ~ spl2_33
    | spl2_128
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f57920,f1058,f3195,f317,f994]) ).

thf(f59578,plain,
    ( ~ spl2_14
    | spl2_39
    | spl2_6
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f59270,f207,f105,f385,f157]) ).

thf(f59580,plain,
    ( ~ spl2_384
    | spl2_383
    | spl2_395
    | ~ spl2_259 ),
    inference(avatar_split_clause,[],[f58990,f8082,f13054,f12918,f12921]) ).

thf(f59582,plain,
    ( spl2_386
    | ~ spl2_385
    | spl2_396
    | ~ spl2_259 ),
    inference(avatar_split_clause,[],[f58986,f8082,f13058,f12926,f12929]) ).

thf(f59584,plain,
    ( spl2_117
    | ~ spl2_116
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f59454,f1067,f998,f2543,f2548]) ).

thf(f59585,plain,
    ( spl2_278
    | ~ spl2_8
    | ~ spl2_14
    | ~ spl2_601 ),
    inference(avatar_split_clause,[],[f59190,f32101,f157,f111,f8232]) ).

thf(f59586,plain,
    ( spl2_456
    | spl2_115
    | ~ spl2_49
    | ~ spl2_685 ),
    inference(avatar_split_clause,[],[f59431,f55920,f516,f2504,f14791]) ).

thf(f59588,plain,
    ( spl2_117
    | ~ spl2_116
    | spl2_82
    | ~ spl2_68 ),
    inference(avatar_split_clause,[],[f59450,f998,f1224,f2543,f2548]) ).

thf(f59600,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
    | ~ spl2_259
    | spl2_389 ),
    inference(forward_subsumption_resolution,[],[f59003,f13218]) ).

thf(f59602,plain,
    ( ~ spl2_347
    | spl2_295
    | ~ spl2_461 ),
    inference(avatar_split_clause,[],[f59133,f15091,f8434,f10956]) ).

thf(f59604,plain,
    ( spl2_6
    | ~ spl2_8
    | spl2_39
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f58612,f207,f385,f111,f105]) ).

thf(f59609,plain,
    ( ~ spl2_16
    | ~ spl2_14
    | spl2_278
    | ~ spl2_624 ),
    inference(avatar_split_clause,[],[f59205,f36553,f8232,f157,f190]) ).

thf(f59613,plain,
    ( spl2_423
    | ~ spl2_422
    | spl2_278
    | ~ spl2_313 ),
    inference(avatar_split_clause,[],[f58903,f10194,f8232,f13627,f13630]) ).

thf(f59614,plain,
    ( spl2_494
    | ~ spl2_422
    | spl2_67
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f58501,f13998,f994,f13627,f16616]) ).

thf(f59616,plain,
    ( spl2_61
    | ~ spl2_33
    | spl2_67
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f57918,f1058,f994,f317,f974]) ).

thf(f59632,plain,
    ( spl2_579
    | ~ spl2_297
    | ~ spl2_259
    | spl2_389 ),
    inference(avatar_split_clause,[],[f59600,f13029,f8082,f8444,f26093]) ).

thf(f59677,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f529,f995]) ).

thf(f59680,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_67 ),
    inference(trivial_inequality_removal,[],[f59677]) ).

thf(f59759,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_107
    | ~ spl2_268 ),
    inference(constrained_superposition,[],[f14391,f2452]) ).

thf(f59762,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true ) )
    | ~ spl2_107
    | ~ spl2_268 ),
    inference(trivial_inequality_removal,[],[f59759]) ).

thf(f59765,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_49
    | ~ spl2_107
    | ~ spl2_268 ),
    inference(forward_subsumption_resolution,[],[f59762,f2145]) ).

thf(f59767,plain,
    ( spl2_48
    | ~ spl2_49
    | ~ spl2_107
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f59765,f8156,f2451,f516,f513]) ).

thf(f59892,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_347
    | ~ spl2_666 ),
    inference(constrained_superposition,[],[f48553,f18151]) ).

thf(f59917,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_347
    | ~ spl2_666 ),
    inference(trivial_inequality_removal,[],[f59892]) ).

thf(f59951,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true != $true ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f58,f50161]) ).

thf(f59979,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f59951]) ).

thf(f59994,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f166,f13059]) ).

thf(f59998,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f59994]) ).

thf(f60193,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_259
    | ~ spl2_660 ),
    inference(constrained_superposition,[],[f45162,f8083]) ).

thf(f60200,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ~ spl2_259
    | ~ spl2_660 ),
    inference(trivial_inequality_removal,[],[f60193]) ).

thf(f60210,plain,
    ( ~ spl2_473
    | ~ spl2_433
    | ~ spl2_259
    | ~ spl2_660 ),
    inference(avatar_split_clause,[],[f60200,f45161,f8082,f13812,f15705]) ).

thf(f60212,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | spl2_39
    | ~ spl2_76 ),
    inference(forward_subsumption_resolution,[],[f57930,f1472]) ).

thf(f60214,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_60
    | spl2_86 ),
    inference(forward_subsumption_resolution,[],[f48743,f52933]) ).

thf(f60215,plain,
    ( spl2_400
    | spl2_408
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f59998,f13058,f13184,f13088]) ).

thf(f60216,plain,
    ( ~ spl2_29
    | ~ spl2_76
    | ~ spl2_666 ),
    inference(avatar_split_clause,[],[f57925,f48552,f1058,f287]) ).

thf(f60224,plain,
    ( spl2_288
    | ~ spl2_46
    | spl2_44
    | ~ spl2_268 ),
    inference(avatar_split_clause,[],[f44301,f8156,f498,f504,f8337]) ).

thf(f60233,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_313
    | spl2_389 ),
    inference(forward_subsumption_resolution,[],[f58906,f13218]) ).

thf(f60234,plain,
    ( spl2_57
    | ~ spl2_58
    | spl2_39
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f60212,f1058,f385,f964,f961]) ).

thf(f60236,plain,
    ( ~ spl2_29
    | spl2_30
    | ~ spl2_60
    | spl2_86 ),
    inference(avatar_split_clause,[],[f60214,f1275,f971,f290,f287]) ).

thf(f60241,plain,
    ( spl2_322
    | ~ spl2_321
    | ~ spl2_313
    | spl2_389 ),
    inference(avatar_split_clause,[],[f60233,f13029,f10194,f10276,f10282]) ).

thf(f60245,plain,
    ( spl2_68
    | ~ spl2_16
    | spl2_15
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f48727,f971,f187,f190,f998]) ).

thf(f60253,plain,
    ( ~ spl2_321
    | spl2_68
    | spl2_322
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f59979,f34334,f10282,f998,f10276]) ).

thf(f60255,plain,
    ( ~ spl2_268
    | spl2_433
    | spl2_442
    | ~ spl2_316 ),
    inference(avatar_split_clause,[],[f58925,f10205,f14372,f13812,f8156]) ).

thf(f60257,plain,
    ( ~ spl2_277
    | ~ spl2_288
    | ~ spl2_347
    | ~ spl2_666 ),
    inference(avatar_split_clause,[],[f59917,f48552,f10956,f8337,f8221]) ).

thf(f60258,plain,
    ( ~ spl2_26
    | ~ spl2_399
    | ~ spl2_652 ),
    inference(avatar_split_clause,[],[f59572,f44072,f13084,f244]) ).

thf(f60297,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_73
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f1046,f1049]) ).

thf(f60298,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_60
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f1191,f1049]) ).

thf(f60299,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_74
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f1225,f1049]) ).

thf(f60302,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_74
    | ~ spl2_107 ),
    inference(constrained_superposition,[],[f2452,f1049]) ).

thf(f60303,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_74
    | spl2_115 ),
    inference(constrained_superposition,[],[f2505,f1049]) ).

thf(f60316,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_74
    | spl2_86 ),
    inference(constrained_superposition,[],[f52933,f1049]) ).

thf(f60320,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_74 ),
    inference(constrained_superposition,[],[f170,f1049]) ).

thf(f60386,plain,
    ( spl2_78
    | ~ spl2_74
    | ~ spl2_107 ),
    inference(avatar_split_clause,[],[f60302,f2451,f1048,f1067]) ).

thf(f60387,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_30
    | ~ spl2_74 ),
    inference(forward_subsumption_resolution,[],[f60320,f291]) ).

thf(f60391,plain,
    ( ~ spl2_46
    | ~ spl2_74
    | spl2_86 ),
    inference(avatar_split_clause,[],[f60316,f1275,f1048,f504]) ).

thf(f60394,plain,
    ( spl2_24
    | ~ spl2_74
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f60299,f1224,f1048,f229]) ).

thf(f60395,plain,
    ( spl2_26
    | ~ spl2_73
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f60297,f1048,f1045,f244]) ).

thf(f60396,plain,
    ( $false
    | ~ spl2_74
    | ~ spl2_82
    | spl2_115 ),
    inference(forward_subsumption_resolution,[],[f60303,f1225]) ).

thf(f60397,plain,
    ( ~ spl2_74
    | ~ spl2_82
    | spl2_115 ),
    inference(avatar_contradiction_clause,[],[f60396]) ).

thf(f60402,plain,
    ( $false
    | ~ spl2_30
    | ~ spl2_60
    | ~ spl2_74 ),
    inference(forward_subsumption_resolution,[],[f60298,f291]) ).

thf(f60403,plain,
    ( ~ spl2_30
    | ~ spl2_60
    | ~ spl2_74 ),
    inference(avatar_contradiction_clause,[],[f60402]) ).

thf(f60404,plain,
    ( spl2_46
    | ~ spl2_30
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f60387,f1048,f290,f504]) ).

thf(f60406,plain,
    ( spl2_392
    | spl2_676 ),
    inference(avatar_split_clause,[],[f59390,f50252,f13042]) ).

thf(f60410,plain,
    ( spl2_392
    | spl2_296
    | spl2_676 ),
    inference(avatar_split_clause,[],[f59391,f50252,f8440,f13042]) ).

thf(f60414,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true ) )
    | spl2_74 ),
    inference(extensionality_resolution,[],[f566,f7923]) ).

thf(f60415,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ X0 ) @ sK1 )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_74 ),
    inference(extensionality_resolution,[],[f566,f7923]) ).

thf(f60416,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_74 ),
    inference(extensionality_resolution,[],[f168,f7923]) ).

thf(f60417,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | spl2_74 ),
    inference(extensionality_resolution,[],[f168,f7923]) ).

thf(f60418,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true ) )
    | spl2_74 ),
    inference(extensionality_resolution,[],[f564,f7923]) ).

thf(f60419,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ X0 ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true ) )
    | spl2_74 ),
    inference(extensionality_resolution,[],[f564,f7923]) ).

thf(f60421,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | spl2_74 ),
    inference(extensionality_resolution,[],[f56,f7923]) ).

thf(f60422,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_74 ),
    inference(extensionality_resolution,[],[f83,f7923]) ).

thf(f60423,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_74 ),
    inference(extensionality_resolution,[],[f83,f7923]) ).

thf(f60428,plain,
    ( spl2_259
    | spl2_260
    | spl2_74 ),
    inference(avatar_split_clause,[],[f60416,f1048,f8085,f8082]) ).

thf(f60429,plain,
    ( spl2_96
    | spl2_524
    | spl2_74 ),
    inference(avatar_split_clause,[],[f60421,f1048,f18673,f1519]) ).

thf(f60430,plain,
    ( spl2_261
    | spl2_262
    | spl2_74 ),
    inference(avatar_split_clause,[],[f60423,f1048,f8092,f8089]) ).

thf(f60431,plain,
    ( spl2_266
    | spl2_265
    | spl2_74 ),
    inference(avatar_split_clause,[],[f60422,f1048,f8103,f8106]) ).

thf(f60432,plain,
    ( spl2_525
    | ~ spl2_58
    | spl2_96
    | spl2_74 ),
    inference(avatar_split_clause,[],[f60415,f1048,f1519,f964,f18677]) ).

thf(f60433,plain,
    ( spl2_263
    | spl2_264
    | spl2_74 ),
    inference(avatar_split_clause,[],[f60417,f1048,f8099,f8096]) ).

thf(f60520,plain,
    ( $false
    | ~ spl2_208
    | spl2_278 ),
    inference(forward_subsumption_resolution,[],[f33016,f5163]) ).

thf(f60521,plain,
    ( ~ spl2_208
    | spl2_278 ),
    inference(avatar_contradiction_clause,[],[f60520]) ).

thf(f60609,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_285 ),
    inference(constrained_superposition,[],[f529,f8328]) ).

thf(f60612,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_285 ),
    inference(trivial_inequality_removal,[],[f60609]) ).

thf(f60613,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_49
    | ~ spl2_285 ),
    inference(forward_subsumption_resolution,[],[f60612,f2145]) ).

thf(f60614,plain,
    ( spl2_269
    | spl2_488
    | ~ spl2_49
    | ~ spl2_285 ),
    inference(avatar_split_clause,[],[f60613,f8327,f516,f16202,f8159]) ).

thf(f60618,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f75,f8338]) ).

thf(f60623,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f841,f8338]) ).

thf(f60624,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f58,f8338]) ).

thf(f60638,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f60623]) ).

thf(f60642,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f60624]) ).

thf(f60646,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f60618]) ).

thf(f60656,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f953,f8222]) ).

thf(f60659,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f95,f8222]) ).

thf(f60662,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f841,f8222]) ).

thf(f60663,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f58,f8222]) ).

thf(f60664,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f31,f8222]) ).

thf(f60676,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f60664]) ).

thf(f60682,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f60656]) ).

thf(f60687,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f60663]) ).

thf(f60688,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f60659]) ).

thf(f60689,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f60662]) ).

thf(f60693,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_76
    | ~ spl2_277 ),
    inference(forward_subsumption_resolution,[],[f60682,f1059]) ).

thf(f60696,plain,
    ( spl2_349
    | spl2_61
    | ~ spl2_76
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f60693,f8221,f1058,f974,f10983]) ).

thf(f60741,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_286 ),
    inference(constrained_superposition,[],[f8332,f83]) ).

thf(f60744,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f60741]) ).

thf(f60746,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f60744,f41]) ).

thf(f60806,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | spl2_286 ),
    inference(constrained_superposition,[],[f841,f60746]) ).

thf(f60829,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f60806]) ).

thf(f60872,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f953,f13225]) ).

thf(f60895,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f60872]) ).

thf(f60909,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_76
    | ~ spl2_411 ),
    inference(forward_subsumption_resolution,[],[f60895,f1059]) ).

thf(f60912,plain,
    ( spl2_395
    | spl2_61
    | ~ spl2_76
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f60909,f13224,f1058,f974,f13054]) ).

thf(f60937,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_5
    | ~ spl2_384 ),
    inference(constrained_superposition,[],[f102,f38489]) ).

thf(f60954,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_5
    | ~ spl2_384 ),
    inference(trivial_inequality_removal,[],[f60937]) ).

thf(f60971,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_5
    | ~ spl2_82
    | ~ spl2_384 ),
    inference(forward_subsumption_resolution,[],[f60954,f1225]) ).

thf(f60976,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_5
    | ~ spl2_82
    | spl2_284
    | ~ spl2_384 ),
    inference(forward_subsumption_resolution,[],[f60971,f17803]) ).

thf(f60978,plain,
    ( ~ spl2_343
    | ~ spl2_5
    | ~ spl2_82
    | spl2_284
    | ~ spl2_384 ),
    inference(avatar_split_clause,[],[f60976,f12921,f8323,f1224,f101,f10940]) ).

thf(f60979,plain,
    ( spl2_77
    | spl2_76
    | ~ spl2_19
    | ~ spl2_67 ),
    inference(avatar_split_clause,[],[f59680,f994,f200,f1058,f1061]) ).

thf(f60982,plain,
    ( spl2_15
    | ~ spl2_16
    | spl2_247
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f60687,f8221,f7984,f190,f187]) ).

thf(f60984,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | spl2_255
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f60829,f32522]) ).

thf(f60994,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_288 ),
    inference(forward_subsumption_resolution,[],[f60638,f41]) ).

thf(f60995,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_277 ),
    inference(forward_subsumption_resolution,[],[f60689,f41]) ).

thf(f60997,plain,
    ( ~ spl2_33
    | spl2_363
    | spl2_278
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f60646,f8337,f8232,f11614,f317]) ).

thf(f61000,plain,
    ( ~ spl2_321
    | spl2_322
    | spl2_39
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f60642,f8337,f385,f10282,f10276]) ).

thf(f61013,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_255
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f60984,f41]) ).

thf(f61020,plain,
    ( spl2_278
    | ~ spl2_321
    | spl2_19
    | spl2_39
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f60994,f8337,f385,f200,f10276,f8232]) ).

thf(f61021,plain,
    ( spl2_19
    | spl2_247
    | ~ spl2_16
    | spl2_278
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f60995,f8221,f8232,f190,f7984,f200]) ).

thf(f61029,plain,
    ( spl2_292
    | spl2_19
    | ~ spl2_16
    | spl2_255
    | spl2_286 ),
    inference(avatar_split_clause,[],[f61013,f8331,f8028,f190,f200,f8422]) ).

thf(f61063,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f30,f1068]) ).

thf(f61064,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X2 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_78 ),
    inference(trivial_inequality_removal,[],[f61063]) ).

thf(f61100,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f166,f1520]) ).

thf(f61101,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f30,f1520]) ).

thf(f61102,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f61101]) ).

thf(f61103,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f61100]) ).

thf(f61105,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | spl2_24
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f61103,f344]) ).

thf(f61106,plain,
    ( spl2_626
    | spl2_24
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f61105,f1519,f229,f37129]) ).

thf(f61107,plain,
    ( ( $true != $true )
    | spl2_269
    | ~ spl2_595 ),
    inference(constrained_superposition,[],[f32112,f29056]) ).

thf(f61109,plain,
    ( ( $true != $true )
    | spl2_76
    | ~ spl2_595 ),
    inference(constrained_superposition,[],[f1631,f29056]) ).

thf(f61144,plain,
    ( $false
    | spl2_269
    | ~ spl2_595 ),
    inference(trivial_inequality_removal,[],[f61107]) ).

thf(f61145,plain,
    ( spl2_269
    | ~ spl2_595 ),
    inference(avatar_contradiction_clause,[],[f61144]) ).

thf(f61147,plain,
    ( $false
    | spl2_76
    | ~ spl2_595 ),
    inference(trivial_inequality_removal,[],[f61109]) ).

thf(f61148,plain,
    ( spl2_76
    | ~ spl2_595 ),
    inference(avatar_contradiction_clause,[],[f61147]) ).

thf(f61199,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_400
    | ~ spl2_638 ),
    inference(constrained_superposition,[],[f38741,f13089]) ).

thf(f61232,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_400
    | ~ spl2_638 ),
    inference(trivial_inequality_removal,[],[f61199]) ).

thf(f61241,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_60
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f48724,f50161]) ).

thf(f61242,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f183,f50161]) ).

thf(f61244,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f95,f50161]) ).

thf(f61265,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f61242]) ).

thf(f61267,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_60
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f61241]) ).

thf(f61274,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f61244]) ).

thf(f61276,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_86
    | ~ spl2_614 ),
    inference(forward_subsumption_resolution,[],[f61265,f52933]) ).

thf(f61277,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_60
    | ~ spl2_277
    | ~ spl2_614 ),
    inference(forward_subsumption_resolution,[],[f61267,f8222]) ).

thf(f61278,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | spl2_86
    | ~ spl2_277
    | ~ spl2_614 ),
    inference(forward_subsumption_resolution,[],[f61276,f8222]) ).

thf(f61279,plain,
    ( spl2_363
    | ~ spl2_60
    | ~ spl2_277
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f61277,f34334,f8221,f971,f11614]) ).

thf(f61280,plain,
    ( spl2_363
    | spl2_86
    | ~ spl2_277
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f61278,f34334,f8221,f1275,f11614]) ).

thf(f61289,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_288
    | ~ spl2_640 ),
    inference(constrained_superposition,[],[f38749,f8338]) ).

thf(f61295,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_288
    | ~ spl2_640 ),
    inference(trivial_inequality_removal,[],[f61289]) ).

thf(f61299,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_662 ),
    inference(constrained_superposition,[],[f48198,f82]) ).

thf(f61309,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_662 ),
    inference(trivial_inequality_removal,[],[f61299]) ).

thf(f61326,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f529,f8435]) ).

thf(f61331,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f61326]) ).

thf(f61345,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_261 ),
    inference(constrained_superposition,[],[f166,f8090]) ).

thf(f61349,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_261 ),
    inference(trivial_inequality_removal,[],[f61345]) ).

thf(f61353,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_265 ),
    inference(constrained_superposition,[],[f166,f8104]) ).

thf(f61358,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_265 ),
    inference(trivial_inequality_removal,[],[f61353]) ).

thf(f61360,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_395 ),
    inference(constrained_superposition,[],[f529,f13055]) ).

thf(f61361,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_395 ),
    inference(constrained_superposition,[],[f166,f13055]) ).

thf(f61364,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_395 ),
    inference(trivial_inequality_removal,[],[f61360]) ).

thf(f61365,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_395 ),
    inference(trivial_inequality_removal,[],[f61361]) ).

thf(f61366,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_76
    | ~ spl2_395 ),
    inference(forward_subsumption_resolution,[],[f61364,f1631]) ).

thf(f61367,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | spl2_76
    | ~ spl2_395
    | ~ spl2_396 ),
    inference(forward_subsumption_resolution,[],[f61366,f13059]) ).

thf(f61368,plain,
    ( spl2_417
    | spl2_76
    | ~ spl2_395
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f61367,f13058,f13054,f1058,f13408]) ).

thf(f61384,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_676 ),
    inference(constrained_superposition,[],[f95,f50253]) ).

thf(f61387,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_676 ),
    inference(constrained_superposition,[],[f841,f50253]) ).

thf(f61388,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | ~ spl2_676 ),
    inference(constrained_superposition,[],[f58,f50253]) ).

thf(f61398,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_676 ),
    inference(trivial_inequality_removal,[],[f61388]) ).

thf(f61399,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_676 ),
    inference(trivial_inequality_removal,[],[f61384]) ).

thf(f61405,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_676 ),
    inference(trivial_inequality_removal,[],[f61387]) ).

thf(f61415,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | spl2_73
    | ~ spl2_676 ),
    inference(forward_subsumption_resolution,[],[f61399,f3001]) ).

thf(f61417,plain,
    ( spl2_474
    | ~ spl2_475
    | spl2_73
    | ~ spl2_676 ),
    inference(avatar_split_clause,[],[f61415,f50252,f1045,f15713,f15710]) ).

thf(f61511,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f1983,f10203]) ).

thf(f61533,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f61511]) ).

thf(f61548,plain,
    ( spl2_248
    | spl2_391
    | ~ spl2_315 ),
    inference(avatar_split_clause,[],[f61533,f10202,f13039,f7987]) ).

thf(f61551,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_474 ),
    inference(constrained_superposition,[],[f15711,f721]) ).

thf(f61555,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ~ spl2_474 ),
    inference(constrained_superposition,[],[f15711,f50]) ).

thf(f61560,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_474 ),
    inference(trivial_inequality_removal,[],[f61551]) ).

thf(f61563,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ~ spl2_474 ),
    inference(trivial_inequality_removal,[],[f61555]) ).

thf(f61596,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_260 ),
    inference(constrained_superposition,[],[f529,f8086]) ).

thf(f61601,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_260 ),
    inference(trivial_inequality_removal,[],[f61596]) ).

thf(f61602,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_396 ),
    inference(forward_subsumption_resolution,[],[f61601,f13059]) ).

thf(f61609,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_263 ),
    inference(constrained_superposition,[],[f1983,f8097]) ).

thf(f61641,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_263 ),
    inference(trivial_inequality_removal,[],[f61609]) ).

thf(f61646,plain,
    ( spl2_425
    | spl2_254
    | ~ spl2_263 ),
    inference(avatar_split_clause,[],[f61641,f8096,f8025,f13693]) ).

thf(f61695,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_488 ),
    inference(constrained_superposition,[],[f16203,f8104]) ).

thf(f61700,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_488 ),
    inference(trivial_inequality_removal,[],[f61695]) ).

thf(f61706,plain,
    ( spl2_589
    | ~ spl2_265
    | ~ spl2_488 ),
    inference(avatar_split_clause,[],[f61700,f16202,f8103,f28002]) ).

thf(f61711,plain,
    ( spl2_430
    | spl2_269
    | ~ spl2_260
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f61602,f13058,f8085,f8159,f13725]) ).

thf(f61716,plain,
    ( spl2_271
    | spl2_115
    | ~ spl2_261 ),
    inference(avatar_split_clause,[],[f61349,f8089,f2504,f8166]) ).

thf(f61717,plain,
    ( spl2_289
    | spl2_290
    | ~ spl2_265 ),
    inference(avatar_split_clause,[],[f61358,f8103,f8344,f8341]) ).

thf(f61723,plain,
    ( ~ spl2_116
    | spl2_115
    | ~ spl2_662 ),
    inference(avatar_split_clause,[],[f61309,f48197,f2504,f2543]) ).

thf(f61725,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | spl2_76
    | ~ spl2_295 ),
    inference(forward_subsumption_resolution,[],[f61331,f1631]) ).

thf(f61726,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | spl2_73
    | ~ spl2_614 ),
    inference(forward_subsumption_resolution,[],[f61274,f3001]) ).

thf(f61727,plain,
    ( ~ spl2_8
    | spl2_389
    | ~ spl2_474 ),
    inference(avatar_split_clause,[],[f61563,f15710,f13029,f111]) ).

thf(f61734,plain,
    ( spl2_376
    | ~ spl2_286
    | spl2_76
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f61725,f8434,f1058,f8331,f12144]) ).

thf(f61735,plain,
    ( ~ spl2_111
    | spl2_112
    | spl2_73
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f61726,f34334,f1045,f2477,f2474]) ).

thf(f61759,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_115
    | ~ spl2_638 ),
    inference(constrained_superposition,[],[f38741,f8168]) ).

thf(f61769,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f31,f8168]) ).

thf(f61782,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_115
    | ~ spl2_638 ),
    inference(trivial_inequality_removal,[],[f61759]) ).

thf(f61785,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f61769]) ).

thf(f61797,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_289
    | ~ spl2_638 ),
    inference(constrained_superposition,[],[f38741,f8342]) ).

thf(f61815,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_289
    | ~ spl2_638 ),
    inference(trivial_inequality_removal,[],[f61797]) ).

thf(f61856,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f564,f8160]) ).

thf(f61857,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f75,f8160]) ).

thf(f61864,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
    | ~ spl2_269 ),
    inference(constrained_superposition,[],[f58,f8160]) ).

thf(f61882,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f61856]) ).

thf(f61886,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f61857]) ).

thf(f61888,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_269 ),
    inference(trivial_inequality_removal,[],[f61864]) ).

thf(f61906,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X2 @ X1 ) )
        | ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f30,f8424]) ).

thf(f61908,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X2 @ X1 ) ) )
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f61906]) ).

thf(f61912,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f564,f13813]) ).

thf(f61913,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f75,f13813]) ).

thf(f61919,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f841,f13813]) ).

thf(f61920,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
    | ~ spl2_433 ),
    inference(constrained_superposition,[],[f58,f13813]) ).

thf(f61938,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f61920]) ).

thf(f61939,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f61919]) ).

thf(f61940,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f61913]) ).

thf(f61944,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_433 ),
    inference(trivial_inequality_removal,[],[f61912]) ).

thf(f61961,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_112 ),
    inference(constrained_superposition,[],[f2478,f721]) ).

thf(f61975,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_112 ),
    inference(trivial_inequality_removal,[],[f61961]) ).

thf(f62007,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f166,f10198]) ).

thf(f62012,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f62007]) ).

thf(f62076,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_666 ),
    inference(constrained_superposition,[],[f48553,f51]) ).

thf(f62078,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_666 ),
    inference(trivial_inequality_removal,[],[f62076]) ).

thf(f62266,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_657 ),
    inference(constrained_superposition,[],[f44967,f51]) ).

thf(f62273,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_657 ),
    inference(trivial_inequality_removal,[],[f62266]) ).

thf(f62277,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_665
    | ~ spl2_676 ),
    inference(constrained_superposition,[],[f48541,f50253]) ).

thf(f62288,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
      = $true )
    | ~ spl2_665
    | ~ spl2_676 ),
    inference(trivial_inequality_removal,[],[f62277]) ).

thf(f62312,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_376 ),
    inference(constrained_superposition,[],[f12145,f8104]) ).

thf(f62314,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_376 ),
    inference(constrained_superposition,[],[f12145,f8424]) ).

thf(f62321,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_376 ),
    inference(trivial_inequality_removal,[],[f62314]) ).

thf(f62322,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_376 ),
    inference(trivial_inequality_removal,[],[f62312]) ).

thf(f62327,plain,
    ( spl2_181
    | ~ spl2_286
    | ~ spl2_376 ),
    inference(avatar_split_clause,[],[f62321,f12144,f8331,f4808]) ).

thf(f62359,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_690 ),
    inference(constrained_superposition,[],[f56571,f51]) ).

thf(f62365,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_690 ),
    inference(trivial_inequality_removal,[],[f62359]) ).

thf(f62385,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(constrained_superposition,[],[f13409,f10198]) ).

thf(f62393,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(trivial_inequality_removal,[],[f62385]) ).

thf(f62407,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_436 ),
    inference(constrained_superposition,[],[f13994,f51]) ).

thf(f62414,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_436 ),
    inference(trivial_inequality_removal,[],[f62407]) ).

thf(f62444,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_685 ),
    inference(constrained_superposition,[],[f55921,f8104]) ).

thf(f62445,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_685 ),
    inference(constrained_superposition,[],[f55921,f10198]) ).

thf(f62448,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_685 ),
    inference(trivial_inequality_removal,[],[f62444]) ).

thf(f62453,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_314
    | ~ spl2_685 ),
    inference(trivial_inequality_removal,[],[f62445]) ).

thf(f62458,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_265
    | ~ spl2_286
    | ~ spl2_685 ),
    inference(forward_subsumption_resolution,[],[f62448,f8424]) ).

thf(f62459,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_314
    | ~ spl2_396
    | ~ spl2_685 ),
    inference(forward_subsumption_resolution,[],[f62453,f13059]) ).

thf(f62460,plain,
    ( spl2_510
    | ~ spl2_265
    | ~ spl2_286
    | ~ spl2_685 ),
    inference(avatar_split_clause,[],[f62458,f55920,f8331,f8103,f17801]) ).

thf(f62461,plain,
    ( spl2_412
    | ~ spl2_314
    | ~ spl2_396
    | ~ spl2_685 ),
    inference(avatar_split_clause,[],[f62459,f55920,f13058,f10197,f13230]) ).

thf(f62621,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_479 ),
    inference(constrained_superposition,[],[f15993,f51]) ).

thf(f62628,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_479 ),
    inference(trivial_inequality_removal,[],[f62621]) ).

thf(f62637,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_599 ),
    inference(constrained_superposition,[],[f31739,f51]) ).

thf(f62644,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_599 ),
    inference(trivial_inequality_removal,[],[f62637]) ).

thf(f62705,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(constrained_superposition,[],[f33737,f8424]) ).

thf(f62714,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(duplicate_literal_removal,[],[f62705]) ).

thf(f62715,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(trivial_inequality_removal,[],[f62714]) ).

thf(f62719,plain,
    ( spl2_687
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(avatar_split_clause,[],[f62715,f33736,f8331,f56241]) ).

thf(f62732,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f60676,f721]) ).

thf(f62736,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f60676,f81]) ).

thf(f62737,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f60676,f50]) ).

thf(f62742,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f62737]) ).

thf(f62747,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f62732]) ).

thf(f62748,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f62736]) ).

thf(f62762,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_115
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f61785,f8222]) ).

thf(f62763,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_115 ),
    inference(constrained_superposition,[],[f61785,f170]) ).

thf(f62769,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_115 ),
    inference(trivial_inequality_removal,[],[f62763]) ).

thf(f62770,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_115
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f62762]) ).

thf(f62777,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_115
    | spl2_268 ),
    inference(forward_subsumption_resolution,[],[f62769,f8157]) ).

thf(f62778,plain,
    ( spl2_110
    | ~ spl2_115
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f62770,f8221,f2504,f2470]) ).

thf(f62779,plain,
    ( spl2_110
    | ~ spl2_115
    | spl2_268 ),
    inference(avatar_split_clause,[],[f62777,f8156,f2504,f2470]) ).

thf(f62891,plain,
    ( spl2_278
    | ~ spl2_33
    | ~ spl2_58
    | ~ spl2_436 ),
    inference(avatar_split_clause,[],[f62414,f13993,f964,f317,f8232]) ).

thf(f62893,plain,
    ( spl2_292
    | ~ spl2_289
    | ~ spl2_638 ),
    inference(avatar_split_clause,[],[f61815,f38740,f8341,f8422]) ).

thf(f62896,plain,
    ( ~ spl2_58
    | spl2_393
    | ~ spl2_33
    | ~ spl2_479 ),
    inference(avatar_split_clause,[],[f62628,f15992,f317,f13047,f964]) ).

thf(f62897,plain,
    ( spl2_278
    | ~ spl2_115
    | ~ spl2_638 ),
    inference(avatar_split_clause,[],[f61782,f38740,f2504,f8232]) ).

thf(f62899,plain,
    ( spl2_393
    | ~ spl2_400
    | ~ spl2_638 ),
    inference(avatar_split_clause,[],[f61232,f38740,f13088,f13047]) ).

thf(f62902,plain,
    ( spl2_128
    | ~ spl2_33
    | spl2_292
    | ~ spl2_269 ),
    inference(avatar_split_clause,[],[f61882,f8159,f8422,f317,f3195]) ).

thf(f62904,plain,
    ( ~ spl2_33
    | spl2_496
    | spl2_393
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f61940,f13812,f13047,f16668,f317]) ).

thf(f62905,plain,
    ( spl2_278
    | ~ spl2_288
    | ~ spl2_640 ),
    inference(avatar_split_clause,[],[f61295,f38748,f8337,f8232]) ).

thf(f62906,plain,
    ( spl2_393
    | ~ spl2_33
    | spl2_128
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f61944,f13812,f3195,f317,f13047]) ).

thf(f62909,plain,
    ( spl2_386
    | spl2_292
    | ~ spl2_33
    | ~ spl2_269 ),
    inference(avatar_split_clause,[],[f61886,f8159,f317,f8422,f12929]) ).

thf(f63018,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_114 ),
    inference(constrained_superposition,[],[f2501,f721]) ).

thf(f63020,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_114 ),
    inference(constrained_superposition,[],[f2501,f170]) ).

thf(f63022,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_114 ),
    inference(constrained_superposition,[],[f2501,f81]) ).

thf(f63023,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_114 ),
    inference(constrained_superposition,[],[f2501,f50]) ).

thf(f63026,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_114 ),
    inference(trivial_inequality_removal,[],[f63018]) ).

thf(f63028,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_114 ),
    inference(trivial_inequality_removal,[],[f63020]) ).

thf(f63030,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_114 ),
    inference(trivial_inequality_removal,[],[f63022]) ).

thf(f63031,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_114 ),
    inference(trivial_inequality_removal,[],[f63023]) ).

thf(f63034,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_114
    | spl2_268 ),
    inference(forward_subsumption_resolution,[],[f63028,f8157]) ).

thf(f63042,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_114
    | spl2_268 ),
    inference(constrained_superposition,[],[f63034,f51]) ).

thf(f63050,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_114
    | spl2_268 ),
    inference(trivial_inequality_removal,[],[f63042]) ).

thf(f63119,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_290
    | ~ spl2_300 ),
    inference(constrained_superposition,[],[f8345,f8461]) ).

thf(f63123,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_290
    | ~ spl2_292 ),
    inference(constrained_superposition,[],[f8345,f8423]) ).

thf(f63124,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_290
    | ~ spl2_300 ),
    inference(trivial_inequality_removal,[],[f63119]) ).

thf(f63125,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_290
    | ~ spl2_292 ),
    inference(trivial_inequality_removal,[],[f63123]) ).

thf(f63133,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_26
    | ~ spl2_290
    | ~ spl2_300 ),
    inference(forward_subsumption_resolution,[],[f63124,f245]) ).

thf(f63134,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_290
    | ~ spl2_292 ),
    inference(forward_subsumption_resolution,[],[f63125,f99]) ).

thf(f63135,plain,
    ( spl2_588
    | ~ spl2_26
    | ~ spl2_290
    | ~ spl2_300 ),
    inference(avatar_split_clause,[],[f63133,f8460,f8344,f244,f27997]) ).

thf(f63136,plain,
    ( spl2_276
    | ~ spl2_4
    | ~ spl2_290
    | ~ spl2_292 ),
    inference(avatar_split_clause,[],[f63134,f8422,f8344,f98,f8216]) ).

thf(f63141,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_78
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f61064,f1520]) ).

thf(f63142,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f61064,f171]) ).

thf(f63149,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_78 ),
    inference(trivial_inequality_removal,[],[f63142]) ).

thf(f63153,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_78
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f63141]) ).

thf(f63157,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_26
    | ~ spl2_78 ),
    inference(forward_subsumption_resolution,[],[f63149,f245]) ).

thf(f63158,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_26
    | ~ spl2_78
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f63153,f245]) ).

thf(f63159,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_26
    | spl2_76
    | ~ spl2_78 ),
    inference(forward_subsumption_resolution,[],[f63157,f1631]) ).

thf(f63160,plain,
    ( spl2_141
    | ~ spl2_26
    | ~ spl2_78
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f63158,f1519,f1067,f244,f3865]) ).

thf(f63161,plain,
    ( spl2_141
    | ~ spl2_26
    | spl2_76
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f63159,f1067,f1058,f244,f3865]) ).

thf(f63219,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_393
    | ~ spl2_462 ),
    inference(constrained_superposition,[],[f15099,f13048]) ).

thf(f63221,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_393
    | ~ spl2_462 ),
    inference(trivial_inequality_removal,[],[f63219]) ).

thf(f63229,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_4
    | ~ spl2_393
    | ~ spl2_462 ),
    inference(forward_subsumption_resolution,[],[f63221,f99]) ).

thf(f63230,plain,
    ( spl2_276
    | ~ spl2_4
    | ~ spl2_393
    | ~ spl2_462 ),
    inference(avatar_split_clause,[],[f63229,f15098,f13047,f98,f8216]) ).

thf(f63280,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f61102,f82]) ).

thf(f63289,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f63280]) ).

thf(f63300,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_551 ),
    inference(constrained_superposition,[],[f20756,f721]) ).

thf(f63301,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_551 ),
    inference(constrained_superposition,[],[f20756,f170]) ).

thf(f63303,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_551 ),
    inference(constrained_superposition,[],[f20756,f81]) ).

thf(f63308,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_551 ),
    inference(trivial_inequality_removal,[],[f63300]) ).

thf(f63312,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_551 ),
    inference(trivial_inequality_removal,[],[f63303]) ).

thf(f63313,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_551 ),
    inference(trivial_inequality_removal,[],[f63301]) ).

thf(f63321,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_260
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f61908,f8086]) ).

thf(f63331,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_260
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f63321]) ).

thf(f63332,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_260
    | ~ spl2_286
    | ~ spl2_396 ),
    inference(forward_subsumption_resolution,[],[f63331,f13059]) ).

thf(f63333,plain,
    ( spl2_542
    | ~ spl2_260
    | ~ spl2_286
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f63332,f13058,f8331,f8085,f19729]) ).

thf(f63334,plain,
    ( ~ spl2_14
    | spl2_278
    | ~ spl2_58
    | ~ spl2_690 ),
    inference(avatar_split_clause,[],[f62365,f56570,f964,f8232,f157]) ).

thf(f63337,plain,
    ( spl2_656
    | spl2_286
    | ~ spl2_551 ),
    inference(avatar_split_clause,[],[f63313,f20755,f8331,f44956]) ).

thf(f63340,plain,
    ( ~ spl2_16
    | ~ spl2_33
    | spl2_278
    | ~ spl2_114
    | spl2_268 ),
    inference(avatar_split_clause,[],[f63050,f8156,f2500,f8232,f317,f190]) ).

thf(f63344,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_60 ),
    inference(forward_subsumption_resolution,[],[f48735,f41]) ).

thf(f63360,plain,
    ( spl2_292
    | ~ spl2_58
    | ~ spl2_89
    | ~ spl2_599 ),
    inference(avatar_split_clause,[],[f62644,f31738,f1337,f964,f8422]) ).

thf(f63362,plain,
    ( ~ spl2_16
    | ~ spl2_33
    | spl2_67
    | ~ spl2_666 ),
    inference(avatar_split_clause,[],[f62078,f48552,f994,f317,f190]) ).

thf(f63367,plain,
    ( ~ spl2_411
    | spl2_389
    | ~ spl2_665
    | ~ spl2_676 ),
    inference(avatar_split_clause,[],[f62288,f50252,f48540,f13029,f13224]) ).

thf(f63368,plain,
    ( spl2_477
    | ~ spl2_473
    | spl2_68
    | ~ spl2_676 ),
    inference(avatar_split_clause,[],[f61398,f50252,f998,f15705,f15724]) ).

thf(f63372,plain,
    ( spl2_462
    | spl2_400
    | ~ spl2_314 ),
    inference(avatar_split_clause,[],[f62012,f10197,f13088,f15098]) ).

thf(f63374,plain,
    ( ~ spl2_16
    | spl2_292
    | ~ spl2_14
    | ~ spl2_657 ),
    inference(avatar_split_clause,[],[f62273,f44966,f157,f8422,f190]) ).

thf(f63379,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ~ spl2_676 ),
    inference(forward_subsumption_resolution,[],[f61405,f41]) ).

thf(f63380,plain,
    ( spl2_400
    | spl2_541
    | ~ spl2_395 ),
    inference(avatar_split_clause,[],[f61365,f13054,f19725,f13088]) ).

thf(f63381,plain,
    ( spl2_273
    | spl2_624
    | ~ spl2_114 ),
    inference(avatar_split_clause,[],[f63030,f2500,f36553,f8175]) ).

thf(f63390,plain,
    ( spl2_68
    | spl2_19
    | ~ spl2_16
    | spl2_67
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f63344,f971,f994,f190,f200,f998]) ).

thf(f63395,plain,
    ( spl2_68
    | ~ spl2_473
    | spl2_393
    | spl2_67
    | ~ spl2_676 ),
    inference(avatar_split_clause,[],[f63379,f50252,f994,f13047,f15705,f998]) ).

thf(f63406,plain,
    ( spl2_349
    | ~ spl2_82
    | ~ spl2_112 ),
    inference(avatar_split_clause,[],[f61975,f2477,f1224,f10983]) ).

thf(f63408,plain,
    ( spl2_655
    | spl2_295
    | ~ spl2_551 ),
    inference(avatar_split_clause,[],[f63308,f20755,f8434,f44750]) ).

thf(f63409,plain,
    ( spl2_395
    | ~ spl2_82
    | ~ spl2_474 ),
    inference(avatar_split_clause,[],[f61560,f15710,f1224,f13054]) ).

thf(f63410,plain,
    ( spl2_39
    | ~ spl2_297
    | spl2_579
    | ~ spl2_269 ),
    inference(avatar_split_clause,[],[f61888,f8159,f26093,f8444,f385]) ).

thf(f63413,plain,
    ( spl2_618
    | spl2_349
    | ~ spl2_114 ),
    inference(avatar_split_clause,[],[f63026,f2500,f10983,f35782]) ).

thf(f63414,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_60
    | ~ spl2_277 ),
    inference(forward_subsumption_resolution,[],[f62747,f1191]) ).

thf(f63415,plain,
    ( spl2_39
    | spl2_477
    | ~ spl2_473
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f61938,f13812,f15705,f15724,f385]) ).

thf(f63416,plain,
    ( spl2_617
    | spl2_247
    | ~ spl2_114 ),
    inference(avatar_split_clause,[],[f63031,f2500,f7984,f35778]) ).

thf(f63417,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_433 ),
    inference(forward_subsumption_resolution,[],[f61939,f41]) ).

thf(f63421,plain,
    ( spl2_15
    | ~ spl2_33
    | spl2_247
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f62742,f8221,f7984,f317,f187]) ).

thf(f63425,plain,
    ( spl2_349
    | spl2_61
    | ~ spl2_60
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f63414,f8221,f971,f974,f10983]) ).

thf(f63426,plain,
    ( spl2_39
    | ~ spl2_473
    | spl2_393
    | spl2_19
    | ~ spl2_433 ),
    inference(avatar_split_clause,[],[f63417,f13812,f200,f13047,f15705,f385]) ).

thf(f63436,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_39 ),
    inference(constrained_superposition,[],[f166,f386]) ).

thf(f63438,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_39 ),
    inference(trivial_inequality_removal,[],[f63436]) ).

thf(f63445,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_105 ),
    inference(constrained_superposition,[],[f2306,f999]) ).

thf(f63446,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_68
    | ~ spl2_141 ),
    inference(constrained_superposition,[],[f3866,f999]) ).

thf(f63447,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_68
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f4826,f999]) ).

thf(f63454,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_68
    | ~ spl2_105 ),
    inference(trivial_inequality_removal,[],[f63445]) ).

thf(f63455,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_68
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f63447]) ).

thf(f63458,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_68
    | ~ spl2_141 ),
    inference(trivial_inequality_removal,[],[f63446]) ).

thf(f63459,plain,
    ( spl2_456
    | ~ spl2_68
    | ~ spl2_105 ),
    inference(avatar_split_clause,[],[f63454,f2305,f998,f14791]) ).

thf(f63460,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | ~ spl2_185 ),
    inference(avatar_split_clause,[],[f63455,f4825,f998,f994]) ).

thf(f63462,plain,
    ( spl2_104
    | ~ spl2_68
    | ~ spl2_141 ),
    inference(avatar_split_clause,[],[f63458,f3865,f998,f2266]) ).

thf(f63488,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_265
    | ~ spl2_278
    | ~ spl2_376 ),
    inference(constrained_superposition,[],[f62322,f8233]) ).

thf(f63496,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_265
    | ~ spl2_278
    | ~ spl2_376 ),
    inference(trivial_inequality_removal,[],[f63488]) ).

thf(f63497,plain,
    ( $false
    | ~ spl2_68
    | ~ spl2_265
    | ~ spl2_278
    | ~ spl2_376 ),
    inference(forward_subsumption_resolution,[],[f63496,f999]) ).

thf(f63498,plain,
    ( ~ spl2_68
    | ~ spl2_265
    | ~ spl2_278
    | ~ spl2_376 ),
    inference(avatar_contradiction_clause,[],[f63497]) ).

thf(f63695,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_141
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f3866,f7988]) ).

thf(f63696,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_185
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f4826,f7988]) ).

thf(f63703,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_141
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f63695]) ).

thf(f63710,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_185
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f63696]) ).

thf(f63711,plain,
    ( spl2_588
    | ~ spl2_141
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f63703,f7987,f3865,f27997]) ).

thf(f63713,plain,
    ( ~ spl2_349
    | ~ spl2_185
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f63710,f7987,f4825,f10983]) ).

thf(f63714,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(constrained_superposition,[],[f8332,f83]) ).

thf(f63716,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f63714]) ).

thf(f63718,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f63716,f41]) ).

thf(f63731,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_400
    | ~ spl2_479 ),
    inference(constrained_superposition,[],[f15993,f13089]) ).

thf(f63751,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_400
    | ~ spl2_479 ),
    inference(trivial_inequality_removal,[],[f63731]) ).

thf(f63773,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_277
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f60676,f18151]) ).

thf(f63803,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_277
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f63773]) ).

thf(f63818,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_60
    | ~ spl2_277
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f63803,f1191]) ).

thf(f63823,plain,
    ( spl2_61
    | ~ spl2_60
    | ~ spl2_277
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f63818,f10956,f8221,f971,f974]) ).

thf(f63843,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | spl2_286 ),
    inference(constrained_superposition,[],[f953,f63718]) ).

thf(f63847,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true ) )
    | spl2_286 ),
    inference(constrained_superposition,[],[f95,f63718]) ).

thf(f63851,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | spl2_286 ),
    inference(constrained_superposition,[],[f58,f63718]) ).

thf(f63864,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f63843]) ).

thf(f63876,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f63847]) ).

thf(f63879,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f63851]) ).

thf(f63912,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_248
    | ~ spl2_662 ),
    inference(constrained_superposition,[],[f48198,f7988]) ).

thf(f63918,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_248
    | ~ spl2_662 ),
    inference(trivial_inequality_removal,[],[f63912]) ).

thf(f63922,plain,
    ( $false
    | ~ spl2_68
    | ~ spl2_248
    | ~ spl2_662 ),
    inference(forward_subsumption_resolution,[],[f63918,f999]) ).

thf(f63923,plain,
    ( ~ spl2_68
    | ~ spl2_248
    | ~ spl2_662 ),
    inference(avatar_contradiction_clause,[],[f63922]) ).

thf(f63925,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true ) )
    | spl2_255
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f63879,f32522]) ).

thf(f63935,plain,
    ( spl2_15
    | ~ spl2_16
    | spl2_255
    | spl2_286 ),
    inference(avatar_split_clause,[],[f63925,f8331,f8028,f190,f187]) ).

thf(f63965,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f61102,f995]) ).

thf(f63966,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f529,f995]) ).

thf(f63969,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_67 ),
    inference(trivial_inequality_removal,[],[f63966]) ).

thf(f63970,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_67
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f63965]) ).

thf(f63971,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_19
    | ~ spl2_67 ),
    inference(forward_subsumption_resolution,[],[f63969,f201]) ).

thf(f63972,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_67
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f63970,f201]) ).

thf(f63973,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_67
    | spl2_76 ),
    inference(forward_subsumption_resolution,[],[f63971,f1631]) ).

thf(f63974,plain,
    ( spl2_77
    | ~ spl2_19
    | ~ spl2_67
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f63972,f1519,f994,f200,f1061]) ).

thf(f63975,plain,
    ( spl2_77
    | ~ spl2_19
    | ~ spl2_67
    | spl2_76 ),
    inference(avatar_split_clause,[],[f63973,f1058,f994,f200,f1061]) ).

thf(f64005,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_107 ),
    inference(constrained_superposition,[],[f529,f2452]) ).

thf(f64007,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_107 ),
    inference(trivial_inequality_removal,[],[f64005]) ).

thf(f64015,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_285 ),
    inference(constrained_superposition,[],[f529,f8328]) ).

thf(f64017,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_285 ),
    inference(trivial_inequality_removal,[],[f64015]) ).

thf(f64074,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f58,f50161]) ).

thf(f64098,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f64074]) ).

thf(f64109,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | spl2_68
    | ~ spl2_614 ),
    inference(forward_subsumption_resolution,[],[f64098,f1190]) ).

thf(f64115,plain,
    ( ~ spl2_321
    | spl2_322
    | spl2_68
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f64109,f34334,f998,f10282,f10276]) ).

thf(f64170,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f953,f13225]) ).

thf(f64173,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f95,f13225]) ).

thf(f64187,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f64170]) ).

thf(f64197,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f64173]) ).

thf(f64247,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_676 ),
    inference(constrained_superposition,[],[f183,f50253]) ).

thf(f64265,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_676 ),
    inference(trivial_inequality_removal,[],[f64247]) ).

thf(f64281,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_86
    | ~ spl2_676 ),
    inference(forward_subsumption_resolution,[],[f64265,f52933]) ).

thf(f64284,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | spl2_86
    | ~ spl2_411
    | ~ spl2_676 ),
    inference(forward_subsumption_resolution,[],[f64281,f13225]) ).

thf(f64286,plain,
    ( spl2_496
    | spl2_86
    | ~ spl2_411
    | ~ spl2_676 ),
    inference(avatar_split_clause,[],[f64284,f50252,f13224,f1275,f16668]) ).

thf(f64328,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(constrained_superposition,[],[f62393,f8104]) ).

thf(f64330,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(trivial_inequality_removal,[],[f64328]) ).

thf(f64337,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(constrained_superposition,[],[f64330,f83]) ).

thf(f64339,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(trivial_inequality_removal,[],[f64337]) ).

thf(f64341,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | spl2_72
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(forward_subsumption_resolution,[],[f64339,f7885]) ).

thf(f64352,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_72
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(constrained_superposition,[],[f183,f64341]) ).

thf(f64354,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | spl2_72
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(constrained_superposition,[],[f95,f64341]) ).

thf(f64358,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | spl2_72
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(constrained_superposition,[],[f58,f64341]) ).

thf(f64374,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | spl2_72
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(trivial_inequality_removal,[],[f64354]) ).

thf(f64378,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | spl2_72
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(trivial_inequality_removal,[],[f64352]) ).

thf(f64381,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | spl2_72
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(trivial_inequality_removal,[],[f64358]) ).

thf(f64391,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | spl2_72
    | spl2_73
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(forward_subsumption_resolution,[],[f64374,f3001]) ).

thf(f64393,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | spl2_72
    | spl2_86
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(forward_subsumption_resolution,[],[f64378,f52933]) ).

thf(f64394,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
    | spl2_68
    | spl2_72
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(forward_subsumption_resolution,[],[f64381,f1190]) ).

thf(f64399,plain,
    ( spl2_428
    | ~ spl2_294
    | spl2_72
    | spl2_73
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(avatar_split_clause,[],[f64391,f13408,f10197,f8103,f1045,f1042,f8431,f13704]) ).

thf(f64401,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | spl2_72
    | spl2_86
    | ~ spl2_265
    | spl2_286
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(forward_subsumption_resolution,[],[f64393,f63718]) ).

thf(f64402,plain,
    ( ~ spl2_297
    | spl2_579
    | spl2_68
    | spl2_72
    | ~ spl2_265
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(avatar_split_clause,[],[f64394,f13408,f10197,f8103,f1042,f998,f26093,f8444]) ).

thf(f64406,plain,
    ( spl2_386
    | spl2_72
    | spl2_86
    | ~ spl2_265
    | spl2_286
    | ~ spl2_314
    | ~ spl2_417 ),
    inference(avatar_split_clause,[],[f64401,f13408,f10197,f8331,f8103,f1275,f1042,f12929]) ).

thf(f64411,plain,
    ( spl2_24
    | spl2_25
    | ~ spl2_39 ),
    inference(avatar_split_clause,[],[f63438,f385,f233,f229]) ).

thf(f64412,plain,
    ( spl2_488
    | ~ spl2_49
    | spl2_269
    | ~ spl2_285 ),
    inference(avatar_split_clause,[],[f64017,f8327,f8159,f516,f16202]) ).

thf(f64413,plain,
    ( ~ spl2_24
    | ~ spl2_63
    | ~ spl2_400
    | ~ spl2_479 ),
    inference(avatar_split_clause,[],[f63751,f15992,f13088,f981,f229]) ).

thf(f64414,plain,
    ( spl2_288
    | spl2_577
    | ~ spl2_49
    | ~ spl2_107 ),
    inference(avatar_split_clause,[],[f64007,f2451,f516,f25620,f8337]) ).

thf(f64416,plain,
    ( ~ spl2_24
    | spl2_273
    | spl2_20
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f62748,f8221,f204,f8175,f229]) ).

thf(f64417,plain,
    ( spl2_284
    | spl2_657
    | ~ spl2_551 ),
    inference(avatar_split_clause,[],[f63312,f20755,f44966,f8323]) ).

thf(f64418,plain,
    ( spl2_105
    | ~ spl2_49
    | spl2_82
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f63289,f1519,f1224,f516,f2305]) ).

thf(f64421,plain,
    ( spl2_395
    | spl2_61
    | ~ spl2_76
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f64187,f13224,f1058,f974,f13054]) ).

thf(f64422,plain,
    ( ~ spl2_76
    | spl2_61
    | spl2_295
    | spl2_286 ),
    inference(avatar_split_clause,[],[f63864,f8331,f8434,f974,f1058]) ).

thf(f64424,plain,
    ( spl2_61
    | ~ spl2_76
    | spl2_349
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f60682,f8221,f10983,f1058,f974]) ).

thf(f64449,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_77 ),
    inference(constrained_superposition,[],[f1062,f1046]) ).

thf(f64450,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_626 ),
    inference(constrained_superposition,[],[f37130,f1046]) ).

thf(f64451,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f166,f1046]) ).

thf(f64453,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f64451]) ).

thf(f64454,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_626 ),
    inference(duplicate_literal_removal,[],[f64450]) ).

thf(f64455,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_626 ),
    inference(trivial_inequality_removal,[],[f64454]) ).

thf(f64457,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_77 ),
    inference(trivial_inequality_removal,[],[f64449]) ).

thf(f64458,plain,
    ( spl2_82
    | spl2_635
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f64453,f1045,f38494,f1224]) ).

thf(f64459,plain,
    ( spl2_687
    | ~ spl2_73
    | ~ spl2_626 ),
    inference(avatar_split_clause,[],[f64455,f37129,f1045,f56241]) ).

thf(f64460,plain,
    ( spl2_456
    | ~ spl2_73
    | ~ spl2_77 ),
    inference(avatar_split_clause,[],[f64457,f1061,f1045,f14791]) ).

thf(f64461,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_78 ),
    inference(constrained_superposition,[],[f529,f1068]) ).

thf(f64463,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_78 ),
    inference(trivial_inequality_removal,[],[f64461]) ).

thf(f64465,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_49
    | ~ spl2_78 ),
    inference(forward_subsumption_resolution,[],[f64463,f2145]) ).

thf(f64466,plain,
    ( spl2_76
    | spl2_105
    | ~ spl2_49
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f64465,f1067,f516,f2305,f1058]) ).

thf(f64471,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f166,f7985]) ).

thf(f64474,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true ) )
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f64471]) ).

thf(f64475,plain,
    ( spl2_358
    | spl2_115
    | ~ spl2_247 ),
    inference(avatar_split_clause,[],[f64474,f7984,f2504,f11060]) ).

thf(f64682,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_402 ),
    inference(constrained_superposition,[],[f529,f13096]) ).

thf(f64684,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_402 ),
    inference(trivial_inequality_removal,[],[f64682]) ).

thf(f64686,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_49
    | ~ spl2_402 ),
    inference(forward_subsumption_resolution,[],[f64684,f2145]) ).

thf(f64687,plain,
    ( spl2_490
    | spl2_433
    | ~ spl2_49
    | ~ spl2_402 ),
    inference(avatar_split_clause,[],[f64686,f13095,f516,f13812,f16213]) ).

thf(f64704,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_598 ),
    inference(constrained_superposition,[],[f31639,f171]) ).

thf(f64711,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_598 ),
    inference(trivial_inequality_removal,[],[f64704]) ).

thf(f64741,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_384 ),
    inference(constrained_superposition,[],[f58,f38489]) ).

thf(f64763,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_384 ),
    inference(trivial_inequality_removal,[],[f64741]) ).

thf(f64825,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true ) )
    | ~ spl2_261 ),
    inference(constrained_superposition,[],[f166,f8090]) ).

thf(f64828,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_261 ),
    inference(trivial_inequality_removal,[],[f64825]) ).

thf(f64833,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_266 ),
    inference(constrained_superposition,[],[f75,f8107]) ).

thf(f64834,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_266 ),
    inference(constrained_superposition,[],[f1983,f8107]) ).

thf(f64835,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_266 ),
    inference(constrained_superposition,[],[f953,f8107]) ).

thf(f64836,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_266 ),
    inference(constrained_superposition,[],[f183,f8107]) ).

thf(f64838,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_266 ),
    inference(constrained_superposition,[],[f95,f8107]) ).

thf(f64858,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_266 ),
    inference(trivial_inequality_removal,[],[f64834]) ).

thf(f64860,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_266 ),
    inference(trivial_inequality_removal,[],[f64835]) ).

thf(f64863,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_266 ),
    inference(trivial_inequality_removal,[],[f64836]) ).

thf(f64865,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_266 ),
    inference(trivial_inequality_removal,[],[f64833]) ).

thf(f64868,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_266 ),
    inference(trivial_inequality_removal,[],[f64838]) ).

thf(f64871,plain,
    ( spl2_435
    | spl2_254
    | ~ spl2_266 ),
    inference(avatar_split_clause,[],[f64858,f8106,f8025,f13989]) ).

thf(f64875,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true ) )
    | ~ spl2_392 ),
    inference(constrained_superposition,[],[f529,f13043]) ).

thf(f64876,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_392 ),
    inference(constrained_superposition,[],[f166,f13043]) ).

thf(f64878,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_392 ),
    inference(trivial_inequality_removal,[],[f64875]) ).

thf(f64879,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_392 ),
    inference(trivial_inequality_removal,[],[f64876]) ).

thf(f64890,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f75,f17686]) ).

thf(f64891,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f1983,f17686]) ).

thf(f64893,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f183,f17686]) ).

thf(f64899,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_437 ),
    inference(constrained_superposition,[],[f58,f17686]) ).

thf(f64908,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f64890]) ).

thf(f64914,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f64899]) ).

thf(f64921,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f64891]) ).

thf(f64926,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_437 ),
    inference(trivial_inequality_removal,[],[f64893]) ).

thf(f64953,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_363 ),
    inference(constrained_superposition,[],[f11615,f721]) ).

thf(f64957,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_363 ),
    inference(constrained_superposition,[],[f11615,f81]) ).

thf(f64964,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_363 ),
    inference(trivial_inequality_removal,[],[f64957]) ).

thf(f64966,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_363 ),
    inference(trivial_inequality_removal,[],[f64953]) ).

thf(f64984,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f953,f10195]) ).

thf(f64985,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f183,f10195]) ).

thf(f64987,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f95,f10195]) ).

thf(f65001,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f64985]) ).

thf(f65009,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f64987]) ).

thf(f65016,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f64984]) ).

thf(f65020,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_316 ),
    inference(constrained_superposition,[],[f529,f10206]) ).

thf(f65021,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_316 ),
    inference(constrained_superposition,[],[f166,f10206]) ).

thf(f65023,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_316 ),
    inference(trivial_inequality_removal,[],[f65021]) ).

thf(f65024,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_316 ),
    inference(trivial_inequality_removal,[],[f65020]) ).

thf(f65056,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true ) )
    | ~ spl2_260 ),
    inference(constrained_superposition,[],[f166,f8086]) ).

thf(f65058,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_260 ),
    inference(trivial_inequality_removal,[],[f65056]) ).

thf(f65062,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_264 ),
    inference(constrained_superposition,[],[f529,f8100]) ).

thf(f65063,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_264 ),
    inference(constrained_superposition,[],[f166,f8100]) ).

thf(f65065,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_264 ),
    inference(trivial_inequality_removal,[],[f65063]) ).

thf(f65066,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_264 ),
    inference(trivial_inequality_removal,[],[f65062]) ).

thf(f65085,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_264
    | ~ spl2_597 ),
    inference(constrained_superposition,[],[f29619,f8100]) ).

thf(f65096,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_264
    | ~ spl2_597 ),
    inference(trivial_inequality_removal,[],[f65085]) ).

thf(f65097,plain,
    ( spl2_412
    | ~ spl2_264
    | ~ spl2_597 ),
    inference(avatar_split_clause,[],[f65096,f29618,f8099,f13230]) ).

thf(f65098,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_260
    | ~ spl2_412 ),
    inference(constrained_superposition,[],[f13231,f8086]) ).

thf(f65103,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_260
    | ~ spl2_412 ),
    inference(trivial_inequality_removal,[],[f65098]) ).

thf(f65108,plain,
    ( $false
    | ~ spl2_260
    | ~ spl2_292
    | ~ spl2_412 ),
    inference(forward_subsumption_resolution,[],[f65103,f8423]) ).

thf(f65109,plain,
    ( ~ spl2_260
    | ~ spl2_292
    | ~ spl2_412 ),
    inference(avatar_contradiction_clause,[],[f65108]) ).

thf(f65110,plain,
    ( spl2_400
    | spl2_438
    | ~ spl2_260 ),
    inference(avatar_split_clause,[],[f65058,f8085,f14015,f13088]) ).

thf(f65113,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | spl2_399
    | ~ spl2_411 ),
    inference(forward_subsumption_resolution,[],[f64197,f14795]) ).

thf(f65114,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_266
    | spl2_284 ),
    inference(forward_subsumption_resolution,[],[f64868,f17803]) ).

thf(f65118,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_313
    | spl2_399 ),
    inference(forward_subsumption_resolution,[],[f65009,f14795]) ).

thf(f65120,plain,
    ( spl2_522
    | spl2_115
    | ~ spl2_316 ),
    inference(avatar_split_clause,[],[f65023,f10205,f2504,f18258]) ).

thf(f65121,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | spl2_284
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f63876,f17803]) ).

thf(f65124,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_313
    | spl2_395 ),
    inference(forward_subsumption_resolution,[],[f65016,f17671]) ).

thf(f65126,plain,
    ( spl2_289
    | spl2_441
    | ~ spl2_264 ),
    inference(avatar_split_clause,[],[f65065,f8099,f14358,f8341]) ).

thf(f65128,plain,
    ( ~ spl2_21
    | spl2_273
    | ~ spl2_363 ),
    inference(avatar_split_clause,[],[f64964,f11614,f8175,f207]) ).

thf(f65129,plain,
    ( ~ spl2_26
    | spl2_76
    | ~ spl2_598 ),
    inference(avatar_split_clause,[],[f64711,f31638,f1058,f244]) ).

thf(f65131,plain,
    ( spl2_115
    | spl2_271
    | ~ spl2_261 ),
    inference(avatar_split_clause,[],[f64828,f8089,f8166,f2504]) ).

thf(f65133,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | spl2_255
    | ~ spl2_384 ),
    inference(forward_subsumption_resolution,[],[f64763,f32522]) ).

thf(f65134,plain,
    ( spl2_349
    | ~ spl2_76
    | ~ spl2_363 ),
    inference(avatar_split_clause,[],[f64966,f11614,f1058,f10983]) ).

thf(f65136,plain,
    ( spl2_20
    | ~ spl2_21
    | spl2_273
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f60688,f8221,f8175,f207,f204]) ).

thf(f65138,plain,
    ( ~ spl2_21
    | spl2_20
    | spl2_399
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f65113,f13224,f13084,f204,f207]) ).

thf(f65139,plain,
    ( ~ spl2_111
    | spl2_112
    | ~ spl2_266
    | spl2_284 ),
    inference(avatar_split_clause,[],[f65114,f8323,f8106,f2477,f2474]) ).

thf(f65142,plain,
    ( ~ spl2_111
    | spl2_112
    | ~ spl2_313
    | spl2_399 ),
    inference(avatar_split_clause,[],[f65118,f13084,f10194,f2477,f2474]) ).

thf(f65143,plain,
    ( spl2_20
    | ~ spl2_21
    | spl2_284
    | spl2_286 ),
    inference(avatar_split_clause,[],[f65121,f8331,f8323,f207,f204]) ).

thf(f65146,plain,
    ( ~ spl2_347
    | spl2_346
    | ~ spl2_313
    | spl2_395 ),
    inference(avatar_split_clause,[],[f65124,f13054,f10194,f10953,f10956]) ).

thf(f65151,plain,
    ( spl2_57
    | ~ spl2_58
    | spl2_255
    | ~ spl2_384 ),
    inference(avatar_split_clause,[],[f65133,f12921,f8028,f964,f961]) ).

thf(f65176,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true != $true )
        | ( sK1
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true ) )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f574,f9421]) ).

thf(f65184,plain,
    ( ( sK1
      = ( sK0 @ sK1 ) )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f841,f9421]) ).

thf(f65202,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( sK1
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true ) )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f65176]) ).

thf(f65207,plain,
    ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( sK1
      = ( sK0 @ sK1 ) )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f65184]) ).

thf(f65270,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true ) )
    | ~ spl2_107 ),
    inference(constrained_superposition,[],[f529,f2452]) ).

thf(f65273,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_107 ),
    inference(trivial_inequality_removal,[],[f65270]) ).

thf(f65276,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_49
    | ~ spl2_107 ),
    inference(forward_subsumption_resolution,[],[f65273,f2145]) ).

thf(f65277,plain,
    ( spl2_577
    | spl2_288
    | ~ spl2_49
    | ~ spl2_107 ),
    inference(avatar_split_clause,[],[f65276,f2451,f516,f8337,f25620]) ).

thf(f65278,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273 ),
    inference(constrained_superposition,[],[f166,f8176]) ).

thf(f65281,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_273 ),
    inference(trivial_inequality_removal,[],[f65278]) ).

thf(f65384,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true != $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_400 ),
    inference(constrained_superposition,[],[f564,f13089]) ).

thf(f65385,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_400 ),
    inference(constrained_superposition,[],[f75,f13089]) ).

thf(f65390,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( $true != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
    | ~ spl2_400 ),
    inference(constrained_superposition,[],[f58,f13089]) ).

thf(f65402,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_400 ),
    inference(trivial_inequality_removal,[],[f65384]) ).

thf(f65404,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_400 ),
    inference(trivial_inequality_removal,[],[f65385]) ).

thf(f65412,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true ) )
    | ~ spl2_400 ),
    inference(trivial_inequality_removal,[],[f65390]) ).

thf(f65425,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f1983,f18151]) ).

thf(f65427,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f183,f18151]) ).

thf(f65443,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f65427]) ).

thf(f65460,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f65425]) ).

thf(f65468,plain,
    ( spl2_248
    | spl2_520
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f65460,f10956,f18223,f7987]) ).

thf(f65475,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f75,f50161]) ).

thf(f65478,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f183,f50161]) ).

thf(f65495,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f65478]) ).

thf(f65505,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f65475]) ).

thf(f65580,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_94
    | ~ spl2_300 ),
    inference(constrained_superposition,[],[f1475,f8461]) ).

thf(f65598,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_94
    | ~ spl2_300 ),
    inference(trivial_inequality_removal,[],[f65580]) ).

thf(f65607,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_94
    | ~ spl2_260
    | ~ spl2_300 ),
    inference(constrained_superposition,[],[f65598,f8086]) ).

thf(f65610,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_94
    | ~ spl2_260
    | ~ spl2_300 ),
    inference(trivial_inequality_removal,[],[f65607]) ).

thf(f65619,plain,
    ( $false
    | ~ spl2_94
    | ~ spl2_260
    | ~ spl2_300
    | ~ spl2_393 ),
    inference(forward_subsumption_resolution,[],[f65610,f13048]) ).

thf(f65620,plain,
    ( ~ spl2_94
    | ~ spl2_260
    | ~ spl2_300
    | ~ spl2_393 ),
    inference(avatar_contradiction_clause,[],[f65619]) ).

thf(f65623,plain,
    ( spl2_389
    | spl2_57
    | ~ spl2_58
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f64914,f13998,f964,f961,f13029]) ).

thf(f65624,plain,
    ( spl2_665
    | spl2_86
    | ~ spl2_16
    | spl2_74 ),
    inference(avatar_split_clause,[],[f60414,f1048,f190,f1275,f48540]) ).

thf(f65628,plain,
    ( spl2_268
    | ~ spl2_60
    | spl2_61
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f65443,f10956,f974,f971,f8156]) ).

thf(f65629,plain,
    ( ~ spl2_89
    | spl2_346
    | spl2_278
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f65505,f34334,f8232,f10953,f1337]) ).

thf(f65631,plain,
    ( ( sK1
      = ( sK0 @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | spl2_4
    | ~ spl2_21 ),
    inference(forward_subsumption_resolution,[],[f65207,f40306]) ).

thf(f65632,plain,
    ( spl2_61
    | spl2_396
    | ~ spl2_60
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f64926,f13998,f971,f13058,f974]) ).

thf(f65633,plain,
    ( spl2_363
    | spl2_396
    | ~ spl2_277
    | ~ spl2_313 ),
    inference(avatar_split_clause,[],[f65001,f10194,f8221,f13058,f11614]) ).

thf(f65634,plain,
    ( spl2_116
    | spl2_477
    | ~ spl2_473
    | ~ spl2_400 ),
    inference(avatar_split_clause,[],[f65412,f13088,f15705,f15724,f2543]) ).

thf(f65639,plain,
    ( spl2_434
    | ~ spl2_286
    | spl2_433
    | ~ spl2_264 ),
    inference(avatar_split_clause,[],[f65066,f8099,f13812,f8331,f13815]) ).

thf(f65641,plain,
    ( spl2_363
    | ~ spl2_277
    | spl2_286
    | ~ spl2_266 ),
    inference(avatar_split_clause,[],[f64863,f8106,f8331,f8221,f11614]) ).

thf(f65642,plain,
    ( spl2_440
    | spl2_433
    | ~ spl2_86
    | ~ spl2_392 ),
    inference(avatar_split_clause,[],[f64878,f13042,f1275,f13812,f14157]) ).

thf(f65645,plain,
    ( ~ spl2_16
    | spl2_500
    | ~ spl2_89
    | spl2_96
    | spl2_74 ),
    inference(avatar_split_clause,[],[f60419,f1048,f1519,f1337,f16710,f190]) ).

thf(f65646,plain,
    ( spl2_442
    | spl2_433
    | ~ spl2_268
    | ~ spl2_316 ),
    inference(avatar_split_clause,[],[f65024,f10205,f8156,f13812,f14372]) ).

thf(f65648,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true ) )
    | ~ spl2_21 ),
    inference(forward_subsumption_resolution,[],[f65202,f41]) ).

thf(f65649,plain,
    ( ~ spl2_33
    | ~ spl2_58
    | spl2_86
    | spl2_640
    | spl2_74 ),
    inference(avatar_split_clause,[],[f60418,f1048,f38748,f1275,f964,f317]) ).

thf(f65652,plain,
    ( ~ spl2_277
    | spl2_86
    | spl2_363
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f65495,f34334,f11614,f1275,f8221]) ).

thf(f65661,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_4
    | ~ spl2_21 ),
    inference(forward_subsumption_resolution,[],[f65631,f41]) ).

thf(f65666,plain,
    ( spl2_39
    | spl2_116
    | spl2_576
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f65648,f207,f25577,f2543,f385]) ).

thf(f65672,plain,
    ( spl2_19
    | ~ spl2_8
    | spl2_39
    | spl2_4
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f65661,f207,f98,f385,f111,f200]) ).

thf(f65701,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_152 ),
    inference(constrained_superposition,[],[f3974,f171]) ).

thf(f65708,plain,
    ( ! [X0: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        = $true )
    | ~ spl2_152 ),
    inference(trivial_inequality_removal,[],[f65701]) ).

thf(f65711,plain,
    ( spl2_595
    | ~ spl2_152 ),
    inference(avatar_split_clause,[],[f65708,f3973,f29055]) ).

thf(f65721,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_278 ),
    inference(constrained_superposition,[],[f529,f8233]) ).

thf(f65724,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_278 ),
    inference(trivial_inequality_removal,[],[f65721]) ).

thf(f65725,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_19
    | ~ spl2_278 ),
    inference(forward_subsumption_resolution,[],[f65724,f201]) ).

thf(f65726,plain,
    ( spl2_288
    | spl2_553
    | ~ spl2_19
    | ~ spl2_278 ),
    inference(avatar_split_clause,[],[f65725,f8232,f200,f20845,f8337]) ).

thf(f65729,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_60 ),
    inference(constrained_superposition,[],[f972,f27]) ).

thf(f65732,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_60 ),
    inference(trivial_inequality_removal,[],[f65729]) ).

thf(f65734,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_60
    | spl2_74 ),
    inference(forward_subsumption_resolution,[],[f65732,f7923]) ).

thf(f65735,plain,
    ( spl2_86
    | spl2_60
    | spl2_74 ),
    inference(avatar_split_clause,[],[f65734,f1048,f971,f1275]) ).

thf(f65746,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_76 ),
    inference(constrained_superposition,[],[f58,f1059]) ).

thf(f65771,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_76 ),
    inference(trivial_inequality_removal,[],[f65746]) ).

thf(f65779,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true ) )
    | spl2_39
    | ~ spl2_76 ),
    inference(forward_subsumption_resolution,[],[f65771,f1472]) ).

thf(f65789,plain,
    ( ~ spl2_58
    | spl2_57
    | spl2_39
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f65779,f1058,f385,f961,f964]) ).

thf(f65854,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_255 ),
    inference(constrained_superposition,[],[f166,f8029]) ).

thf(f65856,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_255 ),
    inference(trivial_inequality_removal,[],[f65854]) ).

thf(f65858,plain,
    ( spl2_338
    | spl2_289
    | ~ spl2_255 ),
    inference(avatar_split_clause,[],[f65856,f8028,f8341,f10809]) ).

thf(f65869,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_277 ),
    inference(constrained_superposition,[],[f11768,f27]) ).

thf(f65871,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_277 ),
    inference(trivial_inequality_removal,[],[f65869]) ).

thf(f65874,plain,
    ( spl2_282
    | spl2_268
    | spl2_277 ),
    inference(avatar_split_clause,[],[f65871,f8221,f8156,f8298]) ).

thf(f65892,plain,
    ( ( $true != $true )
    | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_57
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f962,f50161]) ).

thf(f65903,plain,
    ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ~ spl2_57
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f65892]) ).

thf(f65907,plain,
    ( ~ spl2_362
    | ~ spl2_57
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f65903,f34334,f961,f11611]) ).

thf(f65967,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl2_286 ),
    inference(constrained_superposition,[],[f166,f8424]) ).

thf(f65969,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_286 ),
    inference(trivial_inequality_removal,[],[f65967]) ).

thf(f65971,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f166,f13085]) ).

thf(f65974,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f65971]) ).

thf(f66012,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_500
    | ~ spl2_614 ),
    inference(constrained_superposition,[],[f16711,f50161]) ).

thf(f66022,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_500
    | ~ spl2_614 ),
    inference(trivial_inequality_removal,[],[f66012]) ).

thf(f66039,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_262
    | ~ spl2_448 ),
    inference(constrained_superposition,[],[f14681,f8093]) ).

thf(f66044,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_262 ),
    inference(constrained_superposition,[],[f1983,f8093]) ).

thf(f66046,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_262 ),
    inference(constrained_superposition,[],[f183,f8093]) ).

thf(f66060,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_262 ),
    inference(trivial_inequality_removal,[],[f66046]) ).

thf(f66062,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_262 ),
    inference(trivial_inequality_removal,[],[f66044]) ).

thf(f66077,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_262
    | ~ spl2_448 ),
    inference(trivial_inequality_removal,[],[f66039]) ).

thf(f66081,plain,
    ( spl2_435
    | spl2_248
    | ~ spl2_262 ),
    inference(avatar_split_clause,[],[f66062,f8092,f7987,f13989]) ).

thf(f66109,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_262
    | ~ spl2_346 ),
    inference(constrained_superposition,[],[f10954,f8093]) ).

thf(f66110,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_346 ),
    inference(constrained_superposition,[],[f10954,f170]) ).

thf(f66117,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_262
    | ~ spl2_346 ),
    inference(trivial_inequality_removal,[],[f66109]) ).

thf(f66119,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_346 ),
    inference(trivial_inequality_removal,[],[f66110]) ).

thf(f66125,plain,
    ( ~ spl2_691
    | ~ spl2_262
    | ~ spl2_346 ),
    inference(avatar_split_clause,[],[f66117,f10953,f8092,f57054]) ).

thf(f66127,plain,
    ( spl2_82
    | spl2_534
    | ~ spl2_392 ),
    inference(avatar_split_clause,[],[f64879,f13042,f18952,f1224]) ).

thf(f66129,plain,
    ( ~ spl2_60
    | spl2_268
    | ~ spl2_346 ),
    inference(avatar_split_clause,[],[f66119,f10953,f8156,f971]) ).

thf(f66131,plain,
    ( spl2_339
    | spl2_289
    | ~ spl2_286 ),
    inference(avatar_split_clause,[],[f65969,f8331,f8341,f10813]) ).

thf(f66135,plain,
    ( spl2_268
    | spl2_386
    | ~ spl2_385
    | ~ spl2_262 ),
    inference(avatar_split_clause,[],[f66060,f8092,f12926,f12929,f8156]) ).

thf(f66137,plain,
    ( spl2_115
    | spl2_275
    | ~ spl2_273 ),
    inference(avatar_split_clause,[],[f65281,f8175,f8212,f2504]) ).

thf(f66138,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | spl2_67
    | ~ spl2_437 ),
    inference(forward_subsumption_resolution,[],[f64908,f16058]) ).

thf(f66143,plain,
    ( ~ spl2_14
    | spl2_393
    | spl2_204
    | ~ spl2_400 ),
    inference(avatar_split_clause,[],[f65402,f13088,f5146,f13047,f157]) ).

thf(f66145,plain,
    ( spl2_278
    | ~ spl2_500
    | ~ spl2_614 ),
    inference(avatar_split_clause,[],[f66022,f34334,f16710,f8232]) ).

thf(f66146,plain,
    ( ~ spl2_343
    | spl2_461
    | spl2_278
    | ~ spl2_266 ),
    inference(avatar_split_clause,[],[f64865,f8106,f8232,f15091,f10940]) ).

thf(f66147,plain,
    ( ~ spl2_14
    | spl2_474
    | spl2_393
    | ~ spl2_400 ),
    inference(avatar_split_clause,[],[f65404,f13088,f13047,f15710,f157]) ).

thf(f66150,plain,
    ( ~ spl2_422
    | spl2_494
    | spl2_67
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f66138,f13998,f994,f16616,f13627]) ).

thf(f66155,plain,
    ( ~ spl2_614
    | ~ spl2_277
    | ~ spl2_262
    | ~ spl2_448 ),
    inference(avatar_split_clause,[],[f66077,f14680,f8092,f8221,f34334]) ).

thf(f66156,plain,
    ( spl2_346
    | ~ spl2_347
    | spl2_295
    | ~ spl2_266 ),
    inference(avatar_split_clause,[],[f64860,f8106,f8434,f10956,f10953]) ).

thf(f66171,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f166,f245]) ).

thf(f66173,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f66171]) ).

thf(f66175,plain,
    ( spl2_625
    | spl2_24
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f66173,f244,f229,f36600]) ).

thf(f66181,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_68 ),
    inference(constrained_superposition,[],[f166,f999]) ).

thf(f66183,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_68 ),
    inference(trivial_inequality_removal,[],[f66181]) ).

thf(f66185,plain,
    ( spl2_82
    | spl2_83
    | ~ spl2_68 ),
    inference(avatar_split_clause,[],[f66183,f998,f1227,f1224]) ).

thf(f66188,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f566,f230]) ).

thf(f66189,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( $true != $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f564,f230]) ).

thf(f66190,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f75,f230]) ).

thf(f66193,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f841,f230]) ).

thf(f66194,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_24 ),
    inference(constrained_superposition,[],[f58,f230]) ).

thf(f66206,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f66190]) ).

thf(f66212,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f66193]) ).

thf(f66213,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f66188]) ).

thf(f66214,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f66194]) ).

thf(f66216,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_24 ),
    inference(trivial_inequality_removal,[],[f66189]) ).

thf(f66310,plain,
    ( ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_76 ),
    inference(constrained_superposition,[],[f1631,f52]) ).

thf(f66313,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_76 ),
    inference(trivial_inequality_removal,[],[f66310]) ).

thf(f66315,plain,
    ( spl2_27
    | spl2_96
    | spl2_76 ),
    inference(avatar_split_clause,[],[f66313,f1058,f1519,f247]) ).

thf(f66420,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f75,f8222]) ).

thf(f66421,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_277 ),
    inference(constrained_superposition,[],[f1983,f8222]) ).

thf(f66439,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f66420]) ).

thf(f66447,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_277 ),
    inference(trivial_inequality_removal,[],[f66421]) ).

thf(f66459,plain,
    ( spl2_436
    | spl2_248
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f66447,f8221,f7987,f13993]) ).

thf(f66485,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f529,f7988]) ).

thf(f66486,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f166,f7988]) ).

thf(f66488,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f66486]) ).

thf(f66489,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f66485]) ).

thf(f66520,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true ) )
    | ~ spl2_349 ),
    inference(constrained_superposition,[],[f166,f10984]) ).

thf(f66523,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_349 ),
    inference(trivial_inequality_removal,[],[f66520]) ).

thf(f66722,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_26
    | ~ spl2_216 ),
    inference(constrained_superposition,[],[f5332,f245]) ).

thf(f66735,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_26
    | ~ spl2_216 ),
    inference(trivial_inequality_removal,[],[f66722]) ).

thf(f66781,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(constrained_superposition,[],[f28937,f1046]) ).

thf(f66790,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(trivial_inequality_removal,[],[f66781]) ).

thf(f66799,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(constrained_superposition,[],[f66790,f245]) ).

thf(f66804,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != $true )
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(trivial_inequality_removal,[],[f66799]) ).

thf(f66807,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(forward_subsumption_resolution,[],[f66804,f201]) ).

thf(f66808,plain,
    ( ~ spl2_19
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(avatar_contradiction_clause,[],[f66807]) ).

thf(f66810,plain,
    ( spl2_15
    | spl2_116
    | ~ spl2_16
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f66214,f229,f190,f2543,f187]) ).

thf(f66812,plain,
    ( spl2_198
    | ~ spl2_26
    | ~ spl2_216 ),
    inference(avatar_split_clause,[],[f66735,f5331,f244,f5104]) ).

thf(f66826,plain,
    ( ~ spl2_86
    | spl2_312
    | spl2_288
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f66489,f7987,f8337,f9809,f1275]) ).

thf(f66843,plain,
    ( $false
    | spl2_115
    | ~ spl2_572 ),
    inference(forward_subsumption_resolution,[],[f2505,f24420]) ).

thf(f66844,plain,
    ( spl2_115
    | ~ spl2_572 ),
    inference(avatar_contradiction_clause,[],[f66843]) ).

thf(f66867,plain,
    ( spl2_115
    | spl2_350
    | ~ spl2_349 ),
    inference(avatar_split_clause,[],[f66523,f10983,f11008,f2504]) ).

thf(f66869,plain,
    ( spl2_39
    | spl2_92
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f66213,f229,f1428,f385]) ).

thf(f66870,plain,
    ( spl2_82
    | spl2_536
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f66488,f7987,f18965,f1224]) ).

thf(f66872,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
     != $true )
    | ~ spl2_24 ),
    inference(forward_subsumption_resolution,[],[f66212,f41]) ).

thf(f66873,plain,
    ( spl2_409
    | spl2_400
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f65974,f13084,f13088,f13209]) ).

thf(f66874,plain,
    ( spl2_392
    | spl2_570
    | ~ spl2_437 ),
    inference(avatar_split_clause,[],[f64921,f13998,f23820,f13042]) ).

thf(f66875,plain,
    ( spl2_20
    | spl2_19
    | ~ spl2_14
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f66206,f229,f157,f200,f204]) ).

thf(f66879,plain,
    ( spl2_204
    | spl2_19
    | ~ spl2_14
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f66216,f229,f157,f200,f5146]) ).

thf(f66881,plain,
    ( ~ spl2_16
    | spl2_116
    | spl2_4
    | spl2_19
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f66872,f229,f200,f98,f2543,f190]) ).

thf(f66913,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f564,f9421]) ).

thf(f66914,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f75,f9421]) ).

thf(f66923,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_21 ),
    inference(constrained_superposition,[],[f580,f9421]) ).

thf(f66931,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
          = $true ) )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f66923]) ).

thf(f66933,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f66913]) ).

thf(f66938,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_21 ),
    inference(trivial_inequality_removal,[],[f66914]) ).

thf(f66945,plain,
    ( spl2_576
    | spl2_51
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f66931,f207,f635,f25577]) ).

thf(f66947,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_4
    | ~ spl2_21 ),
    inference(forward_subsumption_resolution,[],[f66938,f40306]) ).

thf(f66950,plain,
    ( spl2_20
    | ~ spl2_33
    | spl2_4
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f66947,f207,f98,f317,f204]) ).

thf(f66951,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( sK1
          = ( sK0 @ sK1 ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f574,f1225]) ).

thf(f66952,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f566,f1225]) ).

thf(f66953,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f564,f1225]) ).

thf(f66954,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f75,f1225]) ).

thf(f66957,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f841,f1225]) ).

thf(f66958,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f58,f1225]) ).

thf(f66967,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f66952]) ).

thf(f66968,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( sK1
          = ( sK0 @ sK1 ) )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f66951]) ).

thf(f66971,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f66958]) ).

thf(f66973,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f66957]) ).

thf(f66974,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f66954]) ).

thf(f66980,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f66953]) ).

thf(f66991,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_60 ),
    inference(constrained_superposition,[],[f972,f52]) ).

thf(f66994,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_60 ),
    inference(trivial_inequality_removal,[],[f66991]) ).

thf(f66997,plain,
    ( spl2_27
    | spl2_86
    | spl2_60 ),
    inference(avatar_split_clause,[],[f66994,f971,f1275,f247]) ).

thf(f67009,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_115 ),
    inference(constrained_superposition,[],[f2505,f27]) ).

thf(f67010,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_115 ),
    inference(trivial_inequality_removal,[],[f67009]) ).

thf(f67012,plain,
    ( spl2_107
    | spl2_245
    | spl2_115 ),
    inference(avatar_split_clause,[],[f67010,f2504,f7978,f2451]) ).

thf(f67022,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_284 ),
    inference(constrained_superposition,[],[f166,f8324]) ).

thf(f67024,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_284 ),
    inference(trivial_inequality_removal,[],[f67022]) ).

thf(f67026,plain,
    ( spl2_370
    | spl2_289
    | ~ spl2_284 ),
    inference(avatar_split_clause,[],[f67024,f8323,f8341,f11869]) ).

thf(f67033,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f564,f8338]) ).

thf(f67056,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f67033]) ).

thf(f67064,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | spl2_278
    | ~ spl2_288 ),
    inference(forward_subsumption_resolution,[],[f67056,f33016]) ).

thf(f67066,plain,
    ( spl2_128
    | ~ spl2_33
    | spl2_278
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f67064,f8337,f8232,f317,f3195]) ).

thf(f67092,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( $true != $true )
    | spl2_286 ),
    inference(constrained_superposition,[],[f8332,f83]) ).

thf(f67094,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f67092]) ).

thf(f67096,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f67094,f41]) ).

thf(f67223,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_43
    | ~ spl2_396 ),
    inference(constrained_superposition,[],[f485,f13059]) ).

thf(f67229,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_43
    | ~ spl2_396 ),
    inference(trivial_inequality_removal,[],[f67223]) ).

thf(f67231,plain,
    ( ~ spl2_393
    | ~ spl2_43
    | ~ spl2_396 ),
    inference(avatar_split_clause,[],[f67229,f13058,f484,f13047]) ).

thf(f67265,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_94
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f1475,f1520]) ).

thf(f67279,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_94
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f67265]) ).

thf(f67290,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_94
    | ~ spl2_96
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f67279,f8435]) ).

thf(f67291,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_94
    | ~ spl2_96
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f67290]) ).

thf(f67306,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_262 ),
    inference(constrained_superposition,[],[f183,f8093]) ).

thf(f67322,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_262 ),
    inference(trivial_inequality_removal,[],[f67306]) ).

thf(f67341,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_262
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f67322,f67096]) ).

thf(f67345,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_262
    | spl2_268
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f67341,f8157]) ).

thf(f67348,plain,
    ( spl2_386
    | ~ spl2_262
    | spl2_268
    | spl2_286 ),
    inference(avatar_split_clause,[],[f67345,f8331,f8156,f8092,f12929]) ).

thf(f67352,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_676 ),
    inference(constrained_superposition,[],[f75,f50253]) ).

thf(f67381,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true ) )
    | ~ spl2_676 ),
    inference(trivial_inequality_removal,[],[f67352]) ).

thf(f67422,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f75,f10195]) ).

thf(f67423,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true ) )
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f1983,f10195]) ).

thf(f67424,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true ) )
    | ~ spl2_313 ),
    inference(constrained_superposition,[],[f953,f10195]) ).

thf(f67448,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f67422]) ).

thf(f67451,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f67424]) ).

thf(f67455,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_313 ),
    inference(trivial_inequality_removal,[],[f67423]) ).

thf(f67460,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | spl2_278
    | ~ spl2_313 ),
    inference(forward_subsumption_resolution,[],[f67448,f33016]) ).

thf(f67461,plain,
    ( spl2_391
    | spl2_392
    | ~ spl2_313 ),
    inference(avatar_split_clause,[],[f67455,f10194,f13042,f13039]) ).

thf(f67465,plain,
    ( spl2_423
    | ~ spl2_422
    | spl2_278
    | ~ spl2_313 ),
    inference(avatar_split_clause,[],[f67460,f10194,f8232,f13627,f13630]) ).

thf(f67469,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_266
    | ~ spl2_386 ),
    inference(constrained_superposition,[],[f12930,f8107]) ).

thf(f67482,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_266
    | ~ spl2_386 ),
    inference(trivial_inequality_removal,[],[f67469]) ).

thf(f67486,plain,
    ( $false
    | ~ spl2_266
    | ~ spl2_288
    | ~ spl2_386 ),
    inference(forward_subsumption_resolution,[],[f67482,f8338]) ).

thf(f67487,plain,
    ( ~ spl2_266
    | ~ spl2_288
    | ~ spl2_386 ),
    inference(avatar_contradiction_clause,[],[f67486]) ).

thf(f67491,plain,
    ( ~ spl2_292
    | ~ spl2_94
    | ~ spl2_96
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f67291,f8434,f1519,f1474,f8422]) ).

thf(f67499,plain,
    ( ~ spl2_89
    | spl2_494
    | spl2_393
    | ~ spl2_676 ),
    inference(avatar_split_clause,[],[f67381,f50252,f13047,f16616,f1337]) ).

thf(f67532,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | spl2_385 ),
    inference(constrained_superposition,[],[f12927,f52]) ).

thf(f67535,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_385 ),
    inference(trivial_inequality_removal,[],[f67532]) ).

thf(f67537,plain,
    ( spl2_245
    | spl2_286
    | spl2_385 ),
    inference(avatar_split_clause,[],[f67535,f12926,f8331,f7978]) ).

thf(f67596,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f75,f13225]) ).

thf(f67597,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | ~ spl2_411 ),
    inference(constrained_superposition,[],[f1983,f13225]) ).

thf(f67613,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f67596]) ).

thf(f67631,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_411 ),
    inference(trivial_inequality_removal,[],[f67597]) ).

thf(f67634,plain,
    ( spl2_392
    | spl2_479
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f67631,f13224,f15992,f13042]) ).

thf(f67648,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_384 ),
    inference(constrained_superposition,[],[f75,f38489]) ).

thf(f67674,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_384 ),
    inference(trivial_inequality_removal,[],[f67648]) ).

thf(f67686,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | spl2_67
    | ~ spl2_384 ),
    inference(forward_subsumption_resolution,[],[f67674,f16058]) ).

thf(f67689,plain,
    ( ~ spl2_343
    | spl2_383
    | spl2_67
    | ~ spl2_384 ),
    inference(avatar_split_clause,[],[f67686,f12921,f994,f12918,f10940]) ).

thf(f67709,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_262 ),
    inference(constrained_superposition,[],[f75,f8093]) ).

thf(f67731,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true ) )
    | ~ spl2_262 ),
    inference(trivial_inequality_removal,[],[f67709]) ).

thf(f67747,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_262
    | spl2_292 ),
    inference(forward_subsumption_resolution,[],[f67731,f33727]) ).

thf(f67751,plain,
    ( ~ spl2_362
    | spl2_461
    | ~ spl2_262
    | spl2_292 ),
    inference(avatar_split_clause,[],[f67747,f8422,f8092,f15091,f11611]) ).

thf(f67841,plain,
    ( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_40 ),
    inference(constrained_superposition,[],[f390,f51]) ).

thf(f67844,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
     != $true )
    | ( ( r @ sK1 @ ( sK0 @ sK1 ) )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ~ spl2_40 ),
    inference(trivial_inequality_removal,[],[f67841]) ).

thf(f67853,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_274 ),
    inference(constrained_superposition,[],[f8207,f8176]) ).

thf(f67859,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_273
    | ~ spl2_274 ),
    inference(trivial_inequality_removal,[],[f67853]) ).

thf(f67868,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_273
    | ~ spl2_274
    | ~ spl2_399 ),
    inference(constrained_superposition,[],[f67859,f13085]) ).

thf(f67870,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_273
    | ~ spl2_274
    | ~ spl2_399 ),
    inference(trivial_inequality_removal,[],[f67868]) ).

thf(f67876,plain,
    ( ~ spl2_393
    | ~ spl2_273
    | ~ spl2_274
    | ~ spl2_399 ),
    inference(avatar_split_clause,[],[f67870,f13084,f8206,f8175,f13047]) ).

thf(f67882,plain,
    ( spl2_346
    | ~ spl2_347
    | spl2_395
    | ~ spl2_313 ),
    inference(avatar_split_clause,[],[f67451,f10194,f13054,f10956,f10953]) ).

thf(f67886,plain,
    ( ( $true != $true )
    | ~ spl2_97
    | ~ spl2_676 ),
    inference(constrained_superposition,[],[f1622,f50253]) ).

thf(f67889,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_97 ),
    inference(constrained_superposition,[],[f1622,f81]) ).

thf(f67896,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_97 ),
    inference(trivial_inequality_removal,[],[f67889]) ).

thf(f67899,plain,
    ( $false
    | ~ spl2_97
    | ~ spl2_676 ),
    inference(trivial_inequality_removal,[],[f67886]) ).

thf(f67900,plain,
    ( ~ spl2_97
    | ~ spl2_676 ),
    inference(avatar_contradiction_clause,[],[f67899]) ).

thf(f67902,plain,
    ( $false
    | spl2_73
    | ~ spl2_97 ),
    inference(forward_subsumption_resolution,[],[f67896,f3001]) ).

thf(f67903,plain,
    ( spl2_73
    | ~ spl2_97 ),
    inference(avatar_contradiction_clause,[],[f67902]) ).

thf(f67911,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( $true != $true )
    | spl2_286 ),
    inference(constrained_superposition,[],[f8332,f83]) ).

thf(f67914,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f67911]) ).

thf(f67916,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = $true )
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f67914,f41]) ).

thf(f67917,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_349 ),
    inference(constrained_superposition,[],[f18144,f83]) ).

thf(f67919,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_349 ),
    inference(trivial_inequality_removal,[],[f67917]) ).

thf(f67921,plain,
    ( spl2_27
    | spl2_347
    | spl2_349 ),
    inference(avatar_split_clause,[],[f67919,f10983,f10956,f247]) ).

thf(f67926,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f75,f18151]) ).

thf(f67930,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f183,f18151]) ).

thf(f67931,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f95,f18151]) ).

thf(f67934,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f841,f18151]) ).

thf(f67935,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_347 ),
    inference(constrained_superposition,[],[f58,f18151]) ).

thf(f67945,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f67926]) ).

thf(f67947,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f67930]) ).

thf(f67948,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f67931]) ).

thf(f67961,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
         != $true ) )
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f67935]) ).

thf(f67963,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_347 ),
    inference(trivial_inequality_removal,[],[f67934]) ).

thf(f67970,plain,
    ( ( $true != $true )
    | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_40
    | spl2_286 ),
    inference(constrained_superposition,[],[f390,f67916]) ).

thf(f67974,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_286 ),
    inference(constrained_superposition,[],[f75,f67916]) ).

thf(f67975,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true ) )
    | spl2_286 ),
    inference(constrained_superposition,[],[f1983,f67916]) ).

thf(f67990,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f67974]) ).

thf(f68004,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true ) )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f67975]) ).

thf(f68009,plain,
    ( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_40
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f67970]) ).

thf(f68011,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true )
        | ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | spl2_19
    | spl2_286 ),
    inference(forward_subsumption_resolution,[],[f67990,f1054]) ).

thf(f68015,plain,
    ( spl2_386
    | ~ spl2_343
    | spl2_19
    | spl2_286 ),
    inference(avatar_split_clause,[],[f68011,f8331,f200,f10940,f12929]) ).

thf(f68033,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | spl2_384 ),
    inference(constrained_superposition,[],[f12922,f52]) ).

thf(f68036,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_384 ),
    inference(trivial_inequality_removal,[],[f68033]) ).

thf(f68040,plain,
    ( spl2_282
    | spl2_295
    | spl2_384 ),
    inference(avatar_split_clause,[],[f68036,f12921,f8434,f8298]) ).

thf(f68044,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_295 ),
    inference(constrained_superposition,[],[f166,f8435]) ).

thf(f68046,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_295 ),
    inference(trivial_inequality_removal,[],[f68044]) ).

thf(f68133,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ~ spl2_259
    | ~ spl2_448 ),
    inference(constrained_superposition,[],[f14681,f8083]) ).

thf(f68137,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f75,f8083]) ).

thf(f68138,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f1983,f8083]) ).

thf(f68156,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f68138]) ).

thf(f68167,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f68137]) ).

thf(f68169,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_259
    | ~ spl2_448 ),
    inference(trivial_inequality_removal,[],[f68133]) ).

thf(f68174,plain,
    ( spl2_425
    | spl2_392
    | ~ spl2_259 ),
    inference(avatar_split_clause,[],[f68156,f8082,f13042,f13693]) ).

thf(f68177,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl2_259
    | spl2_292 ),
    inference(forward_subsumption_resolution,[],[f68167,f33727]) ).

thf(f68178,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_259
    | ~ spl2_448
    | ~ spl2_676 ),
    inference(forward_subsumption_resolution,[],[f68169,f50253]) ).

thf(f68181,plain,
    ( ~ spl2_422
    | spl2_650
    | ~ spl2_259
    | spl2_292 ),
    inference(avatar_split_clause,[],[f68177,f8422,f8082,f40913,f13627]) ).

thf(f68182,plain,
    ( $false
    | ~ spl2_259
    | ~ spl2_411
    | ~ spl2_448
    | ~ spl2_676 ),
    inference(forward_subsumption_resolution,[],[f68178,f13225]) ).

thf(f68183,plain,
    ( ~ spl2_259
    | ~ spl2_411
    | ~ spl2_448
    | ~ spl2_676 ),
    inference(avatar_contradiction_clause,[],[f68182]) ).

thf(f68188,plain,
    ( ~ spl2_289
    | ~ spl2_294
    | ~ spl2_40
    | spl2_286 ),
    inference(avatar_split_clause,[],[f68009,f8331,f389,f8431,f8341]) ).

thf(f68192,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = sK1 )
    | spl2_278
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f67963,f33016]) ).

thf(f68194,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
         != $true ) )
    | spl2_268
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f67947,f8157]) ).

thf(f68199,plain,
    ( spl2_57
    | spl2_247
    | ~ spl2_58
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f67961,f10956,f964,f7984,f961]) ).

thf(f68200,plain,
    ( spl2_64
    | ~ spl2_14
    | spl2_67
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f66974,f1224,f994,f157,f984]) ).

thf(f68201,plain,
    ( spl2_67
    | spl2_204
    | ~ spl2_14
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f66980,f1224,f157,f5146,f994]) ).

thf(f68204,plain,
    ( ~ spl2_14
    | ~ spl2_8
    | spl2_19
    | ~ spl2_40 ),
    inference(avatar_split_clause,[],[f67844,f389,f200,f111,f157]) ).

thf(f68205,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ sK1 ) )
      = $true )
    | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_82 ),
    inference(forward_subsumption_resolution,[],[f66973,f41]) ).

thf(f68206,plain,
    ( ~ spl2_33
    | spl2_128
    | spl2_4
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f66933,f207,f98,f3195,f317]) ).

thf(f68207,plain,
    ( spl2_19
    | spl2_363
    | ~ spl2_362
    | ~ spl2_277 ),
    inference(avatar_split_clause,[],[f66439,f8221,f11611,f11614,f200]) ).

thf(f68208,plain,
    ( spl2_496
    | ~ spl2_422
    | spl2_19
    | ~ spl2_411 ),
    inference(avatar_split_clause,[],[f67613,f13224,f200,f13627,f16668]) ).

thf(f68209,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( r @ X0 @ ( sK0 @ sK1 ) )
         != $true )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_82 ),
    inference(forward_subsumption_resolution,[],[f66968,f41]) ).

thf(f68214,plain,
    ( ~ spl2_63
    | spl2_273
    | spl2_64
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f67948,f10956,f984,f8175,f981]) ).

thf(f68215,plain,
    ( spl2_341
    | spl2_289
    | ~ spl2_295 ),
    inference(avatar_split_clause,[],[f68046,f8434,f8341,f10884]) ).

thf(f68216,plain,
    ( spl2_448
    | spl2_254
    | spl2_286 ),
    inference(avatar_split_clause,[],[f68004,f8331,f8025,f14680]) ).

thf(f68217,plain,
    ( spl2_67
    | ~ spl2_362
    | spl2_346
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f67945,f10956,f10953,f11611,f994]) ).

thf(f68218,plain,
    ( spl2_57
    | ~ spl2_58
    | spl2_116
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f66971,f1224,f2543,f964,f961]) ).

thf(f68220,plain,
    ( spl2_68
    | spl2_126
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f66967,f1224,f3005,f998]) ).

thf(f68225,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
      = $true )
    | spl2_278
    | ~ spl2_347 ),
    inference(forward_subsumption_resolution,[],[f68192,f41]) ).

thf(f68227,plain,
    ( ~ spl2_60
    | spl2_61
    | spl2_268
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f68194,f10956,f8156,f974,f971]) ).

thf(f68232,plain,
    ( ~ spl2_58
    | spl2_67
    | spl2_116
    | spl2_4
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f68205,f1224,f98,f2543,f994,f964]) ).

thf(f68233,plain,
    ( spl2_116
    | spl2_68
    | spl2_85
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f68209,f1224,f1265,f998,f2543]) ).

thf(f68237,plain,
    ( spl2_67
    | ~ spl2_58
    | spl2_247
    | spl2_278
    | ~ spl2_347 ),
    inference(avatar_split_clause,[],[f68225,f10956,f8232,f7984,f964,f994]) ).

thf(f68382,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_292 ),
    inference(constrained_superposition,[],[f529,f8423]) ).

thf(f68384,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( ( b @ sK1 @ X1 )
         != $true ) )
    | ~ spl2_292 ),
    inference(trivial_inequality_removal,[],[f68382]) ).

thf(f68386,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_19
    | ~ spl2_292 ),
    inference(forward_subsumption_resolution,[],[f68384,f201]) ).

thf(f68387,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ X1 )
         != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl2_19
    | spl2_269
    | ~ spl2_292 ),
    inference(forward_subsumption_resolution,[],[f68386,f32112]) ).

thf(f68388,plain,
    ( spl2_597
    | ~ spl2_19
    | spl2_269
    | ~ spl2_292 ),
    inference(avatar_split_clause,[],[f68387,f8422,f8159,f200,f29618]) ).

thf(f68413,plain,
    ( ! [X0: $i] :
        ( ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_289 ),
    inference(constrained_superposition,[],[f58,f8342]) ).

thf(f68431,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_289 ),
    inference(trivial_inequality_removal,[],[f68413]) ).

thf(f68442,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ sK1 @ X0 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
    | spl2_116
    | ~ spl2_289 ),
    inference(forward_subsumption_resolution,[],[f68431,f2544]) ).

thf(f68446,plain,
    ( ~ spl2_297
    | spl2_579
    | spl2_116
    | ~ spl2_289 ),
    inference(avatar_split_clause,[],[f68442,f8341,f2543,f26093,f8444]) ).

thf(f68450,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true ) )
    | ~ spl2_389 ),
    inference(constrained_superposition,[],[f166,f13030]) ).

thf(f68453,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( sK0 @ sK1 ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_389 ),
    inference(trivial_inequality_removal,[],[f68450]) ).

thf(f68454,plain,
    ( spl2_400
    | spl2_401
    | ~ spl2_389 ),
    inference(avatar_split_clause,[],[f68453,f13029,f13091,f13088]) ).

thf(f68455,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_393 ),
    inference(constrained_superposition,[],[f529,f13048]) ).

thf(f68458,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
         != $true )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_393 ),
    inference(trivial_inequality_removal,[],[f68455]) ).

thf(f68459,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
    | ~ spl2_19
    | ~ spl2_393 ),
    inference(forward_subsumption_resolution,[],[f68458,f201]) ).

thf(f68460,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ sK1 @ X1 )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_19
    | ~ spl2_393
    | spl2_433 ),
    inference(forward_subsumption_resolution,[],[f68459,f32109]) ).

thf(f68461,plain,
    ( spl2_470
    | ~ spl2_19
    | ~ spl2_393
    | spl2_433 ),
    inference(avatar_split_clause,[],[f68460,f13812,f13047,f200,f15589]) ).

thf(f68697,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_395 ),
    inference(constrained_superposition,[],[f17671,f83]) ).

thf(f68699,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_395 ),
    inference(trivial_inequality_removal,[],[f68697]) ).

thf(f68701,plain,
    ( spl2_245
    | spl2_437
    | spl2_395 ),
    inference(avatar_split_clause,[],[f68699,f13054,f13998,f7978]) ).

thf(f68767,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_77
    | ~ spl2_254 ),
    inference(constrained_superposition,[],[f1062,f8026]) ).

thf(f68768,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_77
    | ~ spl2_392 ),
    inference(constrained_superposition,[],[f1062,f13043]) ).

thf(f68776,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_77
    | ~ spl2_254 ),
    inference(trivial_inequality_removal,[],[f68767]) ).

thf(f68779,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ X0 )
         != $true ) )
    | ~ spl2_77
    | ~ spl2_392 ),
    inference(trivial_inequality_removal,[],[f68768]) ).

thf(f68784,plain,
    ( spl2_510
    | ~ spl2_77
    | ~ spl2_254 ),
    inference(avatar_split_clause,[],[f68776,f8025,f1061,f17801]) ).

thf(f68785,plain,
    ( spl2_412
    | ~ spl2_77
    | ~ spl2_392 ),
    inference(avatar_split_clause,[],[f68779,f13042,f1061,f13230]) ).

cnf(s2,plain,
    ( spl2_4
    | spl2_5 ),
    inference(sat_conversion,[],[f103]) ).

cnf(s3,plain,
    ( spl2_6
    | spl2_7
    | ~ spl2_8 ),
    inference(sat_conversion,[],[f113]) ).

cnf(s5,plain,
    ( spl2_11
    | ~ spl2_12
    | spl2_13 ),
    inference(sat_conversion,[],[f155]) ).

cnf(s6,plain,
    ( spl2_6
    | spl2_7
    | ~ spl2_14 ),
    inference(sat_conversion,[],[f159]) ).

cnf(s8,plain,
    ( spl2_18
    | spl2_19 ),
    inference(sat_conversion,[],[f202]) ).

cnf(s9,plain,
    ( spl2_20
    | ~ spl2_21
    | spl2_22 ),
    inference(sat_conversion,[],[f212]) ).

cnf(s11,plain,
    ( spl2_16
    | spl2_24
    | spl2_25 ),
    inference(sat_conversion,[],[f235]) ).

cnf(s13,plain,
    ( spl2_21
    | spl2_26 ),
    inference(sat_conversion,[],[f250]) ).

cnf(s20,plain,
    ( spl2_20
    | spl2_22
    | ~ spl2_24 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s22,plain,
    ( ~ spl2_24
    | spl2_38
    | spl2_39 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s23,plain,
    ( ~ spl2_24
    | spl2_26
    | spl2_40 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s35,plain,
    ( ~ spl2_16
    | spl2_19
    | spl2_56 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s38,plain,
    ( ~ spl2_63
    | spl2_64
    | spl2_65 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s43,plain,
    ( spl2_58
    | spl2_68 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s46,plain,
    ( ~ spl2_19
    | ~ spl2_22
    | ~ spl2_67
    | spl2_73
    | spl2_75 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s52,plain,
    ( ~ spl2_16
    | spl2_58
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s53,plain,
    ( spl2_19
    | ~ spl2_67
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f1173]) ).

cnf(s54,plain,
    ( ~ spl2_22
    | spl2_26
    | spl2_46
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f1176]) ).

cnf(s55,plain,
    ( spl2_29
    | ~ spl2_74
    | spl2_79 ),
    inference(sat_conversion,[],[f1177]) ).

cnf(s61,plain,
    ( ~ spl2_15
    | spl2_19
    | spl2_27
    | spl2_46
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f1189]) ).

cnf(s68,plain,
    ( spl2_63
    | spl2_73 ),
    inference(sat_conversion,[],[f1239]) ).

cnf(s73,plain,
    ( spl2_60
    | spl2_86 ),
    inference(sat_conversion,[],[f1278]) ).

cnf(s76,plain,
    ( ~ spl2_43
    | spl2_60
    | ~ spl2_67 ),
    inference(sat_conversion,[],[f1296]) ).

cnf(s86,plain,
    ( ~ spl2_4
    | spl2_8
    | ~ spl2_26
    | ~ spl2_39 ),
    inference(sat_conversion,[],[f1384]) ).

cnf(s88,plain,
    ( ~ spl2_39
    | spl2_43
    | ~ spl2_68
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f1426]) ).

cnf(s91,plain,
    ( ~ spl2_39
    | ~ spl2_68
    | spl2_76
    | spl2_94 ),
    inference(sat_conversion,[],[f1476]) ).

cnf(s93,plain,
    ( ~ spl2_20
    | spl2_51 ),
    inference(sat_conversion,[],[f1517]) ).

cnf(s94,plain,
    ( ~ spl2_20
    | spl2_74
    | ~ spl2_82
    | spl2_96 ),
    inference(sat_conversion,[],[f1521]) ).

cnf(s95,plain,
    ( spl2_97
    | spl2_98
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f1629]) ).

cnf(s98,plain,
    ( ~ spl2_64
    | spl2_84 ),
    inference(sat_conversion,[],[f1689]) ).

cnf(s100,plain,
    ( spl2_73
    | spl2_101 ),
    inference(sat_conversion,[],[f1989]) ).

cnf(s102,plain,
    ( ~ spl2_19
    | ~ spl2_67
    | spl2_77
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f2106]) ).

cnf(s105,plain,
    ( ~ spl2_75
    | ~ spl2_96
    | spl2_103 ),
    inference(sat_conversion,[],[f2154]) ).

cnf(s106,plain,
    ( ~ spl2_19
    | ~ spl2_86
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f2189]) ).

cnf(s108,plain,
    ( ~ spl2_19
    | spl2_27
    | ~ spl2_40
    | spl2_73
    | spl2_78
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f2193]) ).

cnf(s112,plain,
    ( ~ spl2_4
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(sat_conversion,[],[f2276]) ).

cnf(s113,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | ~ spl2_77 ),
    inference(sat_conversion,[],[f2281]) ).

cnf(s116,plain,
    ( ~ spl2_49
    | ~ spl2_78
    | ~ spl2_96
    | spl2_105 ),
    inference(sat_conversion,[],[f2307]) ).

cnf(s119,plain,
    ( spl2_13
    | ~ spl2_20
    | ~ spl2_27 ),
    inference(sat_conversion,[],[f2454]) ).

cnf(s120,plain,
    ( spl2_8
    | ~ spl2_27
    | spl2_39 ),
    inference(sat_conversion,[],[f2456]) ).

cnf(s121,plain,
    ( spl2_19
    | ~ spl2_27
    | ~ spl2_67 ),
    inference(sat_conversion,[],[f2460]) ).

cnf(s125,plain,
    ( spl2_12
    | ~ spl2_24
    | ~ spl2_27 ),
    inference(sat_conversion,[],[f2482]) ).

cnf(s126,plain,
    ( ~ spl2_24
    | ~ spl2_27
    | spl2_76 ),
    inference(sat_conversion,[],[f2484]) ).

cnf(s130,plain,
    ( spl2_26
    | ~ spl2_27
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f2493]) ).

cnf(s132,plain,
    ( ~ spl2_4
    | spl2_19
    | ~ spl2_27 ),
    inference(sat_conversion,[],[f2498]) ).

cnf(s136,plain,
    ( spl2_6
    | ~ spl2_15
    | ~ spl2_27 ),
    inference(sat_conversion,[],[f2508]) ).

cnf(s137,plain,
    ( ~ spl2_27
    | ~ spl2_33
    | spl2_89 ),
    inference(sat_conversion,[],[f2509]) ).

cnf(s138,plain,
    ( ~ spl2_21
    | ~ spl2_27
    | spl2_60 ),
    inference(sat_conversion,[],[f2510]) ).

cnf(s139,plain,
    ( ~ spl2_27
    | spl2_49
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f2511]) ).

cnf(s140,plain,
    ( ~ spl2_27
    | spl2_39
    | ~ spl2_68 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s141,plain,
    ( spl2_12
    | ~ spl2_27
    | spl2_109 ),
    inference(sat_conversion,[],[f2516]) ).

cnf(s143,plain,
    ( ~ spl2_16
    | ~ spl2_24
    | spl2_26
    | ~ spl2_27
    | ~ spl2_38 ),
    inference(sat_conversion,[],[f2518]) ).

cnf(s144,plain,
    ( ~ spl2_24
    | spl2_26
    | ~ spl2_27
    | ~ spl2_40 ),
    inference(sat_conversion,[],[f2519]) ).

cnf(s146,plain,
    ( spl2_8
    | spl2_43
    | ~ spl2_49
    | ~ spl2_68
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f2539]) ).

cnf(s149,plain,
    ( ~ spl2_8
    | ~ spl2_24
    | ~ spl2_33
    | spl2_118 ),
    inference(sat_conversion,[],[f2555]) ).

cnf(s151,plain,
    ( ~ spl2_37
    | ~ spl2_49
    | ~ spl2_109
    | ~ spl2_116 ),
    inference(sat_conversion,[],[f2563]) ).

cnf(s152,plain,
    ( ~ spl2_8
    | ~ spl2_20
    | spl2_39 ),
    inference(sat_conversion,[],[f2566]) ).

cnf(s155,plain,
    ( ~ spl2_20
    | spl2_39
    | spl2_116 ),
    inference(sat_conversion,[],[f2573]) ).

cnf(s157,plain,
    ( spl2_8
    | spl2_116 ),
    inference(sat_conversion,[],[f2579]) ).

cnf(s159,plain,
    ( ~ spl2_48
    | ~ spl2_68
    | ~ spl2_96
    | ~ spl2_116 ),
    inference(sat_conversion,[],[f2638]) ).

cnf(s160,plain,
    ( ~ spl2_48
    | ~ spl2_49
    | ~ spl2_86
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f2640]) ).

cnf(s165,plain,
    ( ~ spl2_86
    | ~ spl2_105
    | spl2_121 ),
    inference(sat_conversion,[],[f2694]) ).

cnf(s175,plain,
    ( spl2_68
    | spl2_125 ),
    inference(sat_conversion,[],[f2999]) ).

cnf(s183,plain,
    ( ~ spl2_33
    | ~ spl2_121
    | spl2_128
    | spl2_129 ),
    inference(sat_conversion,[],[f3200]) ).

cnf(s186,plain,
    ( spl2_19
    | spl2_33 ),
    inference(sat_conversion,[],[f3218]) ).

cnf(s187,plain,
    ( spl2_19
    | spl2_33 ),
    inference(sat_conversion,[],[f3220]) ).

cnf(s188,plain,
    ( ~ spl2_26
    | ~ spl2_73
    | ~ spl2_86
    | spl2_132 ),
    inference(sat_conversion,[],[f3264]) ).

cnf(s191,plain,
    ( ~ spl2_26
    | spl2_49
    | ~ spl2_64
    | ~ spl2_73
    | spl2_74
    | spl2_132 ),
    inference(sat_conversion,[],[f3278]) ).

cnf(s194,plain,
    ( ~ spl2_15
    | ~ spl2_121
    | spl2_129 ),
    inference(sat_conversion,[],[f3315]) ).

cnf(s214,plain,
    ( spl2_68
    | spl2_74
    | ~ spl2_128
    | ~ spl2_141
    | spl2_152 ),
    inference(sat_conversion,[],[f3978]) ).

cnf(s221,plain,
    ( ~ spl2_86
    | ~ spl2_141
    | spl2_152 ),
    inference(sat_conversion,[],[f3989]) ).

cnf(s222,plain,
    ( ~ spl2_96
    | ~ spl2_152 ),
    inference(sat_conversion,[],[f4004]) ).

cnf(s223,plain,
    ( ~ spl2_26
    | ~ spl2_152 ),
    inference(sat_conversion,[],[f4016]) ).

cnf(s229,plain,
    ( spl2_82
    | ~ spl2_86
    | spl2_157 ),
    inference(sat_conversion,[],[f4195]) ).

cnf(s230,plain,
    ( spl2_76
    | spl2_82
    | ~ spl2_121 ),
    inference(sat_conversion,[],[f4196]) ).

cnf(s232,plain,
    ( spl2_82
    | ~ spl2_96
    | ~ spl2_121 ),
    inference(sat_conversion,[],[f4201]) ).

cnf(s279,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f4886]) ).

cnf(s280,plain,
    ( ~ spl2_86
    | ~ spl2_96
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f4888]) ).

cnf(s284,plain,
    ( spl2_4
    | spl2_14 ),
    inference(sat_conversion,[],[f4918]) ).

cnf(s295,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_198 ),
    inference(sat_conversion,[],[f5132]) ).

cnf(s302,plain,
    ( ~ spl2_14
    | ~ spl2_24
    | spl2_207 ),
    inference(sat_conversion,[],[f5160]) ).

cnf(s314,plain,
    ( ~ spl2_78
    | ~ spl2_86
    | ~ spl2_196 ),
    inference(sat_conversion,[],[f5223]) ).

cnf(s330,plain,
    ( ~ spl2_14
    | ~ spl2_15
    | spl2_26 ),
    inference(sat_conversion,[],[f5373]) ).

cnf(s335,plain,
    ( ~ spl2_67
    | ~ spl2_96
    | ~ spl2_116
    | ~ spl2_216 ),
    inference(sat_conversion,[],[f5445]) ).

cnf(s337,plain,
    ( spl2_78
    | spl2_82 ),
    inference(sat_conversion,[],[f5493]) ).

cnf(s344,plain,
    ( ~ spl2_26
    | spl2_76
    | ~ spl2_83
    | spl2_104 ),
    inference(sat_conversion,[],[f5588]) ).

cnf(s349,plain,
    ( ~ spl2_67
    | ~ spl2_96
    | ~ spl2_104 ),
    inference(sat_conversion,[],[f5620]) ).

cnf(s350,plain,
    ( ~ spl2_26
    | ~ spl2_96
    | spl2_152
    | ~ spl2_157 ),
    inference(sat_conversion,[],[f5664]) ).

cnf(s353,plain,
    ( ~ spl2_26
    | spl2_76
    | spl2_152
    | ~ spl2_157 ),
    inference(sat_conversion,[],[f5672]) ).

cnf(s362,plain,
    ( ~ spl2_20
    | ~ spl2_65
    | ~ spl2_96
    | spl2_141
    | spl2_191 ),
    inference(sat_conversion,[],[f5822]) ).

cnf(s368,plain,
    ( ~ spl2_7
    | spl2_127
    | ~ spl2_198 ),
    inference(sat_conversion,[],[f5881]) ).

cnf(s380,plain,
    ( ~ spl2_4
    | ~ spl2_85
    | spl2_135
    | spl2_238 ),
    inference(sat_conversion,[],[f6432]) ).

cnf(s414,plain,
    ( spl2_26
    | spl2_27
    | spl2_39
    | ~ spl2_204 ),
    inference(sat_conversion,[],[f8127]) ).

cnf(s418,plain,
    ( ~ spl2_64
    | spl2_107
    | ~ spl2_261
    | spl2_272 ),
    inference(sat_conversion,[],[f8173]) ).

cnf(s420,plain,
    ( ~ spl2_116
    | ~ spl2_247
    | ~ spl2_273
    | spl2_274 ),
    inference(sat_conversion,[],[f8209]) ).

cnf(s423,plain,
    ( ~ spl2_23
    | ~ spl2_247
    | ~ spl2_273 ),
    inference(sat_conversion,[],[f8219]) ).

cnf(s430,plain,
    ( spl2_268
    | spl2_277 ),
    inference(sat_conversion,[],[f8304]) ).

cnf(s431,plain,
    ( ~ spl2_38
    | ~ spl2_232
    | spl2_245
    | spl2_247
    | spl2_268 ),
    inference(sat_conversion,[],[f8305]) ).

cnf(s440,plain,
    ( ~ spl2_95
    | ~ spl2_289
    | ~ spl2_294
    | spl2_295 ),
    inference(sat_conversion,[],[f8436]) ).

cnf(s441,plain,
    ( ~ spl2_95
    | spl2_282
    | ~ spl2_289
    | ~ spl2_294
    | spl2_295 ),
    inference(sat_conversion,[],[f8437]) ).

cnf(s442,plain,
    ( ~ spl2_64
    | spl2_254
    | ~ spl2_289 ),
    inference(sat_conversion,[],[f8438]) ).

cnf(s460,plain,
    ( ~ spl2_18
    | spl2_30
    | ~ spl2_33
    | spl2_46
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f8729]) ).

cnf(s478,plain,
    ( ~ spl2_15
    | spl2_19
    | spl2_46
    | spl2_245
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f8780]) ).

cnf(s492,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_40
    | spl2_46
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f8804]) ).

cnf(s496,plain,
    ( spl2_19
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | spl2_245
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f8812]) ).

cnf(s507,plain,
    ( ~ spl2_64
    | ~ spl2_255
    | spl2_285
    | spl2_301 ),
    inference(sat_conversion,[],[f8849]) ).

cnf(s537,plain,
    ( spl2_99
    | spl2_137
    | ~ spl2_293 ),
    inference(sat_conversion,[],[f9159]) ).

cnf(s552,plain,
    ( spl2_39
    | ~ spl2_245
    | ~ spl2_255 ),
    inference(sat_conversion,[],[f9424]) ).

cnf(s557,plain,
    ( ~ spl2_116
    | ~ spl2_245
    | spl2_247 ),
    inference(sat_conversion,[],[f9447]) ).

cnf(s560,plain,
    ( spl2_109
    | ~ spl2_245
    | ~ spl2_273 ),
    inference(sat_conversion,[],[f9458]) ).

cnf(s561,plain,
    ( ~ spl2_107
    | spl2_109
    | ~ spl2_245 ),
    inference(sat_conversion,[],[f9463]) ).

cnf(s568,plain,
    ( spl2_29
    | spl2_79
    | ~ spl2_245 ),
    inference(sat_conversion,[],[f9488]) ).

cnf(s572,plain,
    ( ~ spl2_63
    | ~ spl2_82
    | ~ spl2_95
    | spl2_137
    | ~ spl2_245 ),
    inference(sat_conversion,[],[f9493]) ).

cnf(s578,plain,
    ( spl2_12
    | spl2_109
    | ~ spl2_245 ),
    inference(sat_conversion,[],[f9507]) ).

cnf(s580,plain,
    ( ~ spl2_64
    | ~ spl2_82
    | spl2_137
    | ~ spl2_245 ),
    inference(sat_conversion,[],[f9510]) ).

cnf(s582,plain,
    ( spl2_72
    | spl2_78
    | ~ spl2_85
    | spl2_109
    | ~ spl2_245 ),
    inference(sat_conversion,[],[f9517]) ).

cnf(s585,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_40
    | spl2_46
    | ~ spl2_245 ),
    inference(sat_conversion,[],[f9523]) ).

cnf(s593,plain,
    ( ~ spl2_16
    | ~ spl2_24
    | ~ spl2_38
    | spl2_46
    | ~ spl2_245 ),
    inference(sat_conversion,[],[f9536]) ).

cnf(s614,plain,
    ( ~ spl2_67
    | ~ spl2_78
    | spl2_105
    | ~ spl2_116 ),
    inference(sat_conversion,[],[f9626]) ).

cnf(s618,plain,
    ( spl2_284
    | spl2_294 ),
    inference(sat_conversion,[],[f9637]) ).

cnf(s621,plain,
    ( spl2_73
    | ~ spl2_82
    | spl2_95 ),
    inference(sat_conversion,[],[f9643]) ).

cnf(s625,plain,
    ( spl2_57
    | ~ spl2_58
    | ~ spl2_125
    | spl2_137
    | ~ spl2_293 ),
    inference(sat_conversion,[],[f9651]) ).

cnf(s629,plain,
    ( spl2_68
    | ~ spl2_82
    | spl2_124 ),
    inference(sat_conversion,[],[f9661]) ).

cnf(s637,plain,
    ( ~ spl2_137
    | spl2_251 ),
    inference(sat_conversion,[],[f9735]) ).

cnf(s640,plain,
    ( ~ spl2_86
    | ~ spl2_137
    | spl2_175 ),
    inference(sat_conversion,[],[f9740]) ).

cnf(s691,plain,
    ( spl2_72
    | spl2_313
    | spl2_314 ),
    inference(sat_conversion,[],[f10199]) ).

cnf(s692,plain,
    ( spl2_72
    | spl2_315
    | spl2_316 ),
    inference(sat_conversion,[],[f10207]) ).

cnf(s694,plain,
    ( spl2_114
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f10256]) ).

cnf(s695,plain,
    ( ~ spl2_20
    | ~ spl2_115
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f10260]) ).

cnf(s696,plain,
    ( ~ spl2_24
    | spl2_110
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f10263]) ).

cnf(s701,plain,
    ( ~ spl2_64
    | spl2_285
    | ~ spl2_286
    | spl2_323 ),
    inference(sat_conversion,[],[f10304]) ).

cnf(s706,plain,
    ( spl2_49
    | ~ spl2_253
    | ~ spl2_286 ),
    inference(sat_conversion,[],[f10541]) ).

cnf(s707,plain,
    ( spl2_12
    | ~ spl2_253
    | ~ spl2_289 ),
    inference(sat_conversion,[],[f10555]) ).

cnf(s710,plain,
    ( spl2_12
    | spl2_109
    | ~ spl2_253 ),
    inference(sat_conversion,[],[f10579]) ).

cnf(s713,plain,
    ( ~ spl2_18
    | spl2_30
    | ~ spl2_33
    | spl2_46
    | ~ spl2_253 ),
    inference(sat_conversion,[],[f10586]) ).

cnf(s714,plain,
    ( spl2_29
    | spl2_46
    | ~ spl2_253 ),
    inference(sat_conversion,[],[f10589]) ).

cnf(s720,plain,
    ( ~ spl2_16
    | ~ spl2_24
    | ~ spl2_38
    | spl2_46
    | ~ spl2_253 ),
    inference(sat_conversion,[],[f10600]) ).

cnf(s726,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_40
    | spl2_46
    | ~ spl2_253 ),
    inference(sat_conversion,[],[f10612]) ).

cnf(s728,plain,
    ( spl2_19
    | spl2_46
    | spl2_49
    | ~ spl2_207
    | ~ spl2_253 ),
    inference(sat_conversion,[],[f10617]) ).

cnf(s730,plain,
    ( spl2_72
    | spl2_78
    | ~ spl2_85
    | spl2_109
    | ~ spl2_253 ),
    inference(sat_conversion,[],[f10620]) ).

cnf(s738,plain,
    ( ~ spl2_12
    | ~ spl2_64
    | spl2_73 ),
    inference(sat_conversion,[],[f10653]) ).

cnf(s740,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | spl2_40 ),
    inference(sat_conversion,[],[f10664]) ).

cnf(s741,plain,
    ( ~ spl2_46
    | ~ spl2_96
    | spl2_141 ),
    inference(sat_conversion,[],[f10665]) ).

cnf(s742,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | spl2_136
    | ~ spl2_137 ),
    inference(sat_conversion,[],[f10666]) ).

cnf(s758,plain,
    ( ~ spl2_46
    | spl2_76
    | ~ spl2_96
    | spl2_141 ),
    inference(sat_conversion,[],[f10720]) ).

cnf(s773,plain,
    ( ~ spl2_12
    | spl2_13
    | ~ spl2_21
    | spl2_26 ),
    inference(sat_conversion,[],[f10743]) ).

cnf(s774,plain,
    ( ~ spl2_12
    | ~ spl2_20
    | spl2_26 ),
    inference(sat_conversion,[],[f10744]) ).

cnf(s775,plain,
    ( ~ spl2_5
    | ~ spl2_12
    | ~ spl2_21
    | spl2_26
    | ~ spl2_33 ),
    inference(sat_conversion,[],[f10746]) ).

cnf(s777,plain,
    ( ~ spl2_13
    | ~ spl2_24 ),
    inference(sat_conversion,[],[f10759]) ).

cnf(s778,plain,
    ( ~ spl2_13
    | ~ spl2_289 ),
    inference(sat_conversion,[],[f10761]) ).

cnf(s779,plain,
    ( ~ spl2_13
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f10764]) ).

cnf(s783,plain,
    ( ~ spl2_116
    | ~ spl2_255
    | ~ spl2_284
    | spl2_302 ),
    inference(sat_conversion,[],[f10807]) ).

cnf(s787,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(sat_conversion,[],[f10847]) ).

cnf(s788,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | ~ spl2_116
    | ~ spl2_117 ),
    inference(sat_conversion,[],[f10848]) ).

cnf(s793,plain,
    ( ~ spl2_64
    | spl2_285
    | ~ spl2_295
    | spl2_342 ),
    inference(sat_conversion,[],[f10892]) ).

cnf(s794,plain,
    ( ~ spl2_5
    | ~ spl2_115
    | ~ spl2_266
    | spl2_284
    | ~ spl2_343 ),
    inference(sat_conversion,[],[f10942]) ).

cnf(s799,plain,
    ( spl2_347
    | spl2_349 ),
    inference(sat_conversion,[],[f10986]) ).

cnf(s803,plain,
    ( ~ spl2_96
    | ~ spl2_268
    | ~ spl2_349
    | spl2_351 ),
    inference(sat_conversion,[],[f11014]) ).

cnf(s806,plain,
    ( ~ spl2_67
    | ~ spl2_247
    | ~ spl2_349
    | spl2_351 ),
    inference(sat_conversion,[],[f11021]) ).

cnf(s807,plain,
    ( spl2_111
    | spl2_273 ),
    inference(sat_conversion,[],[f11022]) ).

cnf(s824,plain,
    ( ~ spl2_38
    | spl2_72
    | ~ spl2_115
    | spl2_268
    | ~ spl2_321 ),
    inference(sat_conversion,[],[f11156]) ).

cnf(s825,plain,
    ( ~ spl2_20
    | spl2_72
    | spl2_106
    | ~ spl2_115 ),
    inference(sat_conversion,[],[f11157]) ).

cnf(s826,plain,
    ( spl2_115
    | ~ spl2_238
    | spl2_273
    | spl2_348 ),
    inference(sat_conversion,[],[f11166]) ).

cnf(s831,plain,
    ( ~ spl2_82
    | spl2_115
    | ~ spl2_348 ),
    inference(sat_conversion,[],[f11394]) ).

cnf(s838,plain,
    ( ~ spl2_82
    | spl2_137
    | spl2_252
    | ~ spl2_348 ),
    inference(sat_conversion,[],[f11418]) ).

cnf(s860,plain,
    ( ~ spl2_5
    | ~ spl2_24
    | spl2_273
    | ~ spl2_277
    | ~ spl2_362 ),
    inference(sat_conversion,[],[f11617]) ).

cnf(s864,plain,
    ( ~ spl2_106
    | ~ spl2_107
    | ~ spl2_121 ),
    inference(sat_conversion,[],[f11639]) ).

cnf(s865,plain,
    ( ~ spl2_106
    | spl2_113 ),
    inference(sat_conversion,[],[f11640]) ).

cnf(s866,plain,
    ( ~ spl2_64
    | spl2_107
    | ~ spl2_247
    | spl2_357 ),
    inference(sat_conversion,[],[f11641]) ).

cnf(s874,plain,
    ( spl2_107
    | spl2_115 ),
    inference(sat_conversion,[],[f11672]) ).

cnf(s876,plain,
    ( ~ spl2_261
    | ~ spl2_276
    | ~ spl2_292 ),
    inference(sat_conversion,[],[f11742]) ).

cnf(s877,plain,
    ( ~ spl2_67
    | ~ spl2_276
    | ~ spl2_349 ),
    inference(sat_conversion,[],[f11744]) ).

cnf(s879,plain,
    ( ~ spl2_24
    | ~ spl2_112
    | spl2_268 ),
    inference(sat_conversion,[],[f11765]) ).

cnf(s880,plain,
    ( ~ spl2_37
    | ~ spl2_255
    | ~ spl2_284
    | ~ spl2_286 ),
    inference(sat_conversion,[],[f11767]) ).

cnf(s885,plain,
    ( ~ spl2_26
    | spl2_303 ),
    inference(sat_conversion,[],[f11789]) ).

cnf(s888,plain,
    ( ~ spl2_64
    | ~ spl2_284
    | spl2_285
    | spl2_369 ),
    inference(sat_conversion,[],[f11866]) ).

cnf(s896,plain,
    ( spl2_72
    | spl2_268
    | spl2_277 ),
    inference(sat_conversion,[],[f11946]) ).

cnf(s903,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_284 ),
    inference(sat_conversion,[],[f12138]) ).

cnf(s904,plain,
    ( ~ spl2_37
    | ~ spl2_247
    | ~ spl2_268
    | ~ spl2_273 ),
    inference(sat_conversion,[],[f12141]) ).

cnf(s906,plain,
    ( ~ spl2_96
    | ~ spl2_286
    | ~ spl2_295
    | spl2_376 ),
    inference(sat_conversion,[],[f12146]) ).

cnf(s912,plain,
    ( ~ spl2_116
    | ~ spl2_247
    | ~ spl2_273
    | spl2_274 ),
    inference(sat_conversion,[],[f12181]) ).

cnf(s914,plain,
    ( ~ spl2_37
    | ~ spl2_247
    | ~ spl2_273
    | spl2_277 ),
    inference(sat_conversion,[],[f12183]) ).

cnf(s924,plain,
    ( ~ spl2_4
    | ~ spl2_273
    | ~ spl2_276 ),
    inference(sat_conversion,[],[f12414]) ).

cnf(s928,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_247
    | ~ spl2_273
    | spl2_276 ),
    inference(sat_conversion,[],[f12422]) ).

cnf(s929,plain,
    ( spl2_247
    | spl2_321 ),
    inference(sat_conversion,[],[f12424]) ).

cnf(s930,plain,
    ( ~ spl2_116
    | ~ spl2_247
    | ~ spl2_273
    | spl2_274 ),
    inference(sat_conversion,[],[f12427]) ).

cnf(s931,plain,
    ( ~ spl2_128
    | spl2_247
    | spl2_268
    | spl2_282 ),
    inference(sat_conversion,[],[f12428]) ).

cnf(s936,plain,
    ( ~ spl2_39
    | ~ spl2_67
    | ~ spl2_96
    | spl2_141 ),
    inference(sat_conversion,[],[f12445]) ).

cnf(s940,plain,
    ( ~ spl2_39
    | ~ spl2_51
    | ~ spl2_67
    | spl2_72
    | spl2_74
    | spl2_78
    | spl2_141 ),
    inference(sat_conversion,[],[f12454]) ).

cnf(s948,plain,
    ( spl2_49
    | ~ spl2_107
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12692]) ).

cnf(s949,plain,
    ( spl2_29
    | ~ spl2_277
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12698]) ).

cnf(s951,plain,
    ( spl2_137
    | ~ spl2_282
    | ~ spl2_295 ),
    inference(sat_conversion,[],[f12709]) ).

cnf(s952,plain,
    ( spl2_26
    | ~ spl2_273
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12714]) ).

cnf(s959,plain,
    ( spl2_19
    | ~ spl2_278
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12736]) ).

cnf(s967,plain,
    ( ~ spl2_82
    | spl2_137
    | spl2_252
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12759]) ).

cnf(s970,plain,
    ( spl2_29
    | spl2_46
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12769]) ).

cnf(s972,plain,
    ( ~ spl2_18
    | spl2_30
    | ~ spl2_33
    | spl2_46
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12775]) ).

cnf(s977,plain,
    ( ~ spl2_15
    | spl2_19
    | spl2_46
    | spl2_72
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12785]) ).

cnf(s983,plain,
    ( ~ spl2_64
    | spl2_78
    | spl2_137
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12794]) ).

cnf(s986,plain,
    ( spl2_19
    | ~ spl2_24
    | spl2_46
    | spl2_72
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12802]) ).

cnf(s988,plain,
    ( spl2_19
    | spl2_46
    | spl2_49
    | spl2_72
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f12806]) ).

cnf(s994,plain,
    ( ~ spl2_16
    | spl2_247
    | ~ spl2_363 ),
    inference(sat_conversion,[],[f12965]) ).

cnf(s1006,plain,
    ( ~ spl2_64
    | ~ spl2_389
    | spl2_398
    | spl2_402 ),
    inference(sat_conversion,[],[f13097]) ).

cnf(s1010,plain,
    ( ~ spl2_207
    | spl2_393
    | spl2_396
    | ~ spl2_400
    | spl2_406 ),
    inference(sat_conversion,[],[f13161]) ).

cnf(s1011,plain,
    ( ~ spl2_64
    | spl2_392
    | ~ spl2_400 ),
    inference(sat_conversion,[],[f13162]) ).

cnf(s1016,plain,
    ( ~ spl2_64
    | ~ spl2_396
    | spl2_402
    | spl2_407 ),
    inference(sat_conversion,[],[f13182]) ).

cnf(s1022,plain,
    ( ~ spl2_116
    | ~ spl2_389
    | ~ spl2_399
    | spl2_410 ),
    inference(sat_conversion,[],[f13222]) ).

cnf(s1023,plain,
    ( ~ spl2_37
    | ~ spl2_389
    | ~ spl2_399
    | spl2_411 ),
    inference(sat_conversion,[],[f13226]) ).

cnf(s1025,plain,
    ( ~ spl2_23
    | ~ spl2_389
    | ~ spl2_399 ),
    inference(sat_conversion,[],[f13228]) ).

cnf(s1026,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_389
    | ~ spl2_399
    | spl2_412 ),
    inference(sat_conversion,[],[f13232]) ).

cnf(s1031,plain,
    ( ~ spl2_33
    | ~ spl2_277
    | ~ spl2_322 ),
    inference(sat_conversion,[],[f13400]) ).

cnf(s1032,plain,
    ( ~ spl2_33
    | spl2_268
    | ~ spl2_322 ),
    inference(sat_conversion,[],[f13402]) ).

cnf(s1034,plain,
    ( ~ spl2_67
    | ~ spl2_389
    | ~ spl2_395
    | spl2_417 ),
    inference(sat_conversion,[],[f13410]) ).

cnf(s1044,plain,
    ( ~ spl2_86
    | ~ spl2_132
    | spl2_196 ),
    inference(sat_conversion,[],[f13540]) ).

cnf(s1045,plain,
    ( ~ spl2_273
    | ~ spl2_274
    | ~ spl2_278 ),
    inference(sat_conversion,[],[f13607]) ).

cnf(s1052,plain,
    ( spl2_278
    | spl2_362 ),
    inference(sat_conversion,[],[f13634]) ).

cnf(s1055,plain,
    ( ~ spl2_56
    | spl2_247
    | spl2_268
    | spl2_278 ),
    inference(sat_conversion,[],[f13641]) ).

cnf(s1057,plain,
    ( spl2_115
    | ~ spl2_129
    | spl2_278 ),
    inference(sat_conversion,[],[f13643]) ).

cnf(s1062,plain,
    ( ~ spl2_259
    | ~ spl2_294
    | spl2_399
    | spl2_428 ),
    inference(sat_conversion,[],[f13706]) ).

cnf(s1063,plain,
    ( ~ spl2_5
    | ~ spl2_259
    | ~ spl2_289
    | spl2_399
    | ~ spl2_422 ),
    inference(sat_conversion,[],[f13708]) ).

cnf(s1074,plain,
    ( ~ spl2_255
    | ~ spl2_302
    | spl2_419 ),
    inference(sat_conversion,[],[f13862]) ).

cnf(s1075,plain,
    ( spl2_43
    | ~ spl2_286
    | ~ spl2_302 ),
    inference(sat_conversion,[],[f13863]) ).

cnf(s1076,plain,
    ( ~ spl2_86
    | ~ spl2_136
    | spl2_181 ),
    inference(sat_conversion,[],[f13894]) ).

cnf(s1077,plain,
    ( ~ spl2_181
    | ~ spl2_254
    | ~ spl2_286 ),
    inference(sat_conversion,[],[f13926]) ).

cnf(s1078,plain,
    ( ~ spl2_86
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(sat_conversion,[],[f13970]) ).

cnf(s1080,plain,
    ( ~ spl2_248
    | ~ spl2_312
    | ~ spl2_349 ),
    inference(sat_conversion,[],[f13984]) ).

cnf(s1086,plain,
    ( spl2_395
    | spl2_437 ),
    inference(sat_conversion,[],[f14010]) ).

cnf(s1091,plain,
    ( ~ spl2_82
    | spl2_248
    | ~ spl2_313
    | ~ spl2_400
    | ~ spl2_437 ),
    inference(sat_conversion,[],[f14019]) ).

cnf(s1102,plain,
    ( spl2_400
    | spl2_402 ),
    inference(sat_conversion,[],[f14122]) ).

cnf(s1108,plain,
    ( spl2_185
    | ~ spl2_349
    | ~ spl2_351 ),
    inference(sat_conversion,[],[f14260]) ).

cnf(s1109,plain,
    ( spl2_179
    | ~ spl2_286
    | ~ spl2_377 ),
    inference(sat_conversion,[],[f14289]) ).

cnf(s1111,plain,
    ( ~ spl2_26
    | ~ spl2_116
    | ~ spl2_255
    | ~ spl2_377 ),
    inference(sat_conversion,[],[f14319]) ).

cnf(s1113,plain,
    ( ~ spl2_86
    | ~ spl2_96
    | ~ spl2_179 ),
    inference(sat_conversion,[],[f14350]) ).

cnf(s1114,plain,
    ( spl2_286
    | spl2_385 ),
    inference(sat_conversion,[],[f14351]) ).

cnf(s1120,plain,
    ( ~ spl2_24
    | spl2_286
    | ~ spl2_428 ),
    inference(sat_conversion,[],[f14361]) ).

cnf(s1121,plain,
    ( spl2_16
    | spl2_39 ),
    inference(sat_conversion,[],[f14367]) ).

cnf(s1135,plain,
    ( spl2_269
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(sat_conversion,[],[f14550]) ).

cnf(s1142,plain,
    ( spl2_396
    | spl2_411 ),
    inference(sat_conversion,[],[f14604]) ).

cnf(s1150,plain,
    ( spl2_103
    | ~ spl2_255
    | ~ spl2_340 ),
    inference(sat_conversion,[],[f14678]) ).

cnf(s1153,plain,
    ( ~ spl2_67
    | ~ spl2_255
    | ~ spl2_295
    | spl2_376 ),
    inference(sat_conversion,[],[f14684]) ).

cnf(s1154,plain,
    ( spl2_185
    | ~ spl2_295
    | ~ spl2_376 ),
    inference(sat_conversion,[],[f14711]) ).

cnf(s1156,plain,
    ( spl2_67
    | spl2_89 ),
    inference(sat_conversion,[],[f14717]) ).

cnf(s1167,plain,
    ( ~ spl2_109
    | spl2_115
    | ~ spl2_358
    | spl2_456 ),
    inference(sat_conversion,[],[f14797]) ).

cnf(s1169,plain,
    ( ~ spl2_64
    | spl2_455 ),
    inference(sat_conversion,[],[f14804]) ).

cnf(s1171,plain,
    ( ~ spl2_255
    | ~ spl2_270
    | spl2_276 ),
    inference(sat_conversion,[],[f14838]) ).

cnf(s1174,plain,
    ( ~ spl2_116
    | ~ spl2_255
    | ~ spl2_273
    | ~ spl2_287 ),
    inference(sat_conversion,[],[f14930]) ).

cnf(s1176,plain,
    ( spl2_254
    | ~ spl2_266
    | spl2_282
    | spl2_286
    | ~ spl2_436 ),
    inference(sat_conversion,[],[f14956]) ).

cnf(s1177,plain,
    ( spl2_254
    | ~ spl2_266
    | spl2_286
    | ~ spl2_436 ),
    inference(sat_conversion,[],[f14958]) ).

cnf(s1178,plain,
    ( spl2_254
    | ~ spl2_266
    | spl2_286
    | spl2_293
    | ~ spl2_436 ),
    inference(sat_conversion,[],[f14959]) ).

cnf(s1182,plain,
    ( ~ spl2_251
    | ~ spl2_295
    | spl2_376 ),
    inference(sat_conversion,[],[f14985]) ).

cnf(s1184,plain,
    ( spl2_76
    | spl2_141
    | ~ spl2_251 ),
    inference(sat_conversion,[],[f14988]) ).

cnf(s1192,plain,
    ( ~ spl2_4
    | ~ spl2_292
    | ~ spl2_338 ),
    inference(sat_conversion,[],[f15039]) ).

cnf(s1194,plain,
    ( spl2_292
    | spl2_343 ),
    inference(sat_conversion,[],[f15042]) ).

cnf(s1203,plain,
    ( ~ spl2_107
    | ~ spl2_278
    | ~ spl2_456 ),
    inference(sat_conversion,[],[f15086]) ).

cnf(s1208,plain,
    ( spl2_393
    | spl2_422 ),
    inference(sat_conversion,[],[f15094]) ).

cnf(s1216,plain,
    ( spl2_39
    | ~ spl2_389
    | ~ spl2_406 ),
    inference(sat_conversion,[],[f15290]) ).

cnf(s1219,plain,
    ( spl2_46
    | ~ spl2_396
    | ~ spl2_406 ),
    inference(sat_conversion,[],[f15304]) ).

cnf(s1223,plain,
    ( ~ spl2_18
    | spl2_30
    | ~ spl2_33
    | spl2_46
    | ~ spl2_406 ),
    inference(sat_conversion,[],[f15324]) ).

cnf(s1234,plain,
    ( spl2_29
    | spl2_46
    | ~ spl2_406 ),
    inference(sat_conversion,[],[f15346]) ).

cnf(s1235,plain,
    ( ~ spl2_63
    | spl2_64
    | ~ spl2_101
    | spl2_137
    | ~ spl2_406 ),
    inference(sat_conversion,[],[f15347]) ).

cnf(s1236,plain,
    ( spl2_99
    | spl2_137
    | ~ spl2_406 ),
    inference(sat_conversion,[],[f15349]) ).

cnf(s1237,plain,
    ( spl2_19
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_406 ),
    inference(sat_conversion,[],[f15352]) ).

cnf(s1243,plain,
    ( spl2_19
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | spl2_253
    | ~ spl2_406 ),
    inference(sat_conversion,[],[f15363]) ).

cnf(s1248,plain,
    ( ~ spl2_21
    | spl2_284
    | ~ spl2_386 ),
    inference(sat_conversion,[],[f15405]) ).

cnf(s1255,plain,
    ( ~ spl2_109
    | spl2_115
    | ~ spl2_275
    | spl2_467 ),
    inference(sat_conversion,[],[f15482]) ).

cnf(s1256,plain,
    ( ~ spl2_116
    | ~ spl2_467 ),
    inference(sat_conversion,[],[f15493]) ).

cnf(s1257,plain,
    ( ~ spl2_107
    | ~ spl2_467 ),
    inference(sat_conversion,[],[f15495]) ).

cnf(s1258,plain,
    ( ~ spl2_402
    | ~ spl2_467 ),
    inference(sat_conversion,[],[f15499]) ).

cnf(s1259,plain,
    ( ~ spl2_285
    | ~ spl2_467 ),
    inference(sat_conversion,[],[f15504]) ).

cnf(s1263,plain,
    ( ~ spl2_389
    | ~ spl2_415
    | spl2_468 ),
    inference(sat_conversion,[],[f15539]) ).

cnf(s1265,plain,
    ( ~ spl2_116
    | ~ spl2_273
    | ~ spl2_468 ),
    inference(sat_conversion,[],[f15567]) ).

cnf(s1273,plain,
    ( ~ spl2_393
    | spl2_400
    | ~ spl2_456 ),
    inference(sat_conversion,[],[f15587]) ).

cnf(s1278,plain,
    ( ~ spl2_15
    | ~ spl2_422
    | ~ spl2_433 ),
    inference(sat_conversion,[],[f15689]) ).

cnf(s1281,plain,
    ( ~ spl2_92
    | spl2_402
    | ~ spl2_433
    | spl2_439
    | ~ spl2_473 ),
    inference(sat_conversion,[],[f15707]) ).

cnf(s1287,plain,
    ( ~ spl2_20
    | ~ spl2_400
    | ~ spl2_433 ),
    inference(sat_conversion,[],[f15731]) ).

cnf(s1288,plain,
    ( spl2_389
    | spl2_473 ),
    inference(sat_conversion,[],[f15741]) ).

cnf(s1289,plain,
    ( spl2_389
    | spl2_473 ),
    inference(sat_conversion,[],[f15744]) ).

cnf(s1292,plain,
    ( spl2_399
    | spl2_475 ),
    inference(sat_conversion,[],[f15765]) ).

cnf(s1295,plain,
    ( ~ spl2_260
    | ~ spl2_338
    | ~ spl2_399
    | spl2_412 ),
    inference(sat_conversion,[],[f15771]) ).

cnf(s1296,plain,
    ( ~ spl2_275
    | ~ spl2_314
    | ~ spl2_399
    | spl2_478 ),
    inference(sat_conversion,[],[f15775]) ).

cnf(s1298,plain,
    ( spl2_399
    | spl2_475 ),
    inference(sat_conversion,[],[f15777]) ).

cnf(s1304,plain,
    ( ~ spl2_316
    | ~ spl2_399
    | ~ spl2_415 ),
    inference(sat_conversion,[],[f15877]) ).

cnf(s1308,plain,
    ( ~ spl2_396
    | ~ spl2_415
    | spl2_469 ),
    inference(sat_conversion,[],[f15884]) ).

cnf(s1329,plain,
    ( ~ spl2_40
    | ~ spl2_400
    | ~ spl2_411
    | ~ spl2_475 ),
    inference(sat_conversion,[],[f16026]) ).

cnf(s1333,plain,
    ( ~ spl2_43
    | ~ spl2_67
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f16060]) ).

cnf(s1334,plain,
    ( ~ spl2_260
    | ~ spl2_285
    | ~ spl2_478 ),
    inference(sat_conversion,[],[f16119]) ).

cnf(s1335,plain,
    ( ~ spl2_107
    | ~ spl2_314
    | ~ spl2_478 ),
    inference(sat_conversion,[],[f16121]) ).

cnf(s1337,plain,
    ( ~ spl2_314
    | ~ spl2_316
    | ~ spl2_415 ),
    inference(sat_conversion,[],[f16147]) ).

cnf(s1340,plain,
    ( ~ spl2_262
    | ~ spl2_322
    | ~ spl2_343 ),
    inference(sat_conversion,[],[f16170]) ).

cnf(s1342,plain,
    ( spl2_115
    | ~ spl2_268
    | spl2_485 ),
    inference(sat_conversion,[],[f16176]) ).

cnf(s1344,plain,
    ( ~ spl2_26
    | spl2_121
    | ~ spl2_275
    | spl2_288 ),
    inference(sat_conversion,[],[f16183]) ).

cnf(s1346,plain,
    ( ~ spl2_26
    | spl2_104
    | spl2_269
    | ~ spl2_338 ),
    inference(sat_conversion,[],[f16187]) ).

cnf(s1350,plain,
    ( ~ spl2_12
    | ~ spl2_24
    | ~ spl2_40 ),
    inference(sat_conversion,[],[f16200]) ).

cnf(s1357,plain,
    ( ~ spl2_29
    | spl2_30
    | spl2_286 ),
    inference(sat_conversion,[],[f16219]) ).

cnf(s1359,plain,
    ( ~ spl2_29
    | spl2_30
    | spl2_396
    | ~ spl2_411 ),
    inference(sat_conversion,[],[f16224]) ).

cnf(s1363,plain,
    ( ~ spl2_12
    | ~ spl2_63
    | spl2_72
    | spl2_73
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f16229]) ).

cnf(s1377,plain,
    ( spl2_26
    | ~ spl2_30 ),
    inference(sat_conversion,[],[f16293]) ).

cnf(s1378,plain,
    ( ~ spl2_30
    | spl2_39 ),
    inference(sat_conversion,[],[f16294]) ).

cnf(s1380,plain,
    ( ~ spl2_11
    | spl2_399 ),
    inference(sat_conversion,[],[f16326]) ).

cnf(s1381,plain,
    ( ~ spl2_11
    | spl2_73 ),
    inference(sat_conversion,[],[f16337]) ).

cnf(s1394,plain,
    ( ~ spl2_4
    | ~ spl2_26
    | ~ spl2_104 ),
    inference(sat_conversion,[],[f16458]) ).

cnf(s1395,plain,
    ( ~ spl2_104
    | ~ spl2_393
    | ~ spl2_463 ),
    inference(sat_conversion,[],[f16460]) ).

cnf(s1410,plain,
    ( ~ spl2_103
    | ~ spl2_392
    | ~ spl2_393 ),
    inference(sat_conversion,[],[f16646]) ).

cnf(s1420,plain,
    ( ~ spl2_56
    | spl2_389
    | spl2_393
    | spl2_396 ),
    inference(sat_conversion,[],[f16672]) ).

cnf(s1425,plain,
    ( ~ spl2_4
    | ~ spl2_26
    | ~ spl2_39
    | spl2_104
    | ~ spl2_116 ),
    inference(sat_conversion,[],[f16684]) ).

cnf(s1426,plain,
    ( ~ spl2_23
    | ~ spl2_26
    | ~ spl2_39 ),
    inference(sat_conversion,[],[f16690]) ).

cnf(s1427,plain,
    ( ~ spl2_26
    | ~ spl2_39
    | spl2_94
    | ~ spl2_116 ),
    inference(sat_conversion,[],[f16691]) ).

cnf(s1429,plain,
    ( ~ spl2_8
    | ~ spl2_82
    | ~ spl2_89
    | spl2_118 ),
    inference(sat_conversion,[],[f16695]) ).

cnf(s1436,plain,
    ( ~ spl2_8
    | spl2_67
    | ~ spl2_82
    | spl2_120 ),
    inference(sat_conversion,[],[f16717]) ).

cnf(s1441,plain,
    ( ~ spl2_6
    | ~ spl2_24
    | ~ spl2_33 ),
    inference(sat_conversion,[],[f16768]) ).

cnf(s1442,plain,
    ( ~ spl2_6
    | ~ spl2_82
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f16769]) ).

cnf(s1443,plain,
    ( ~ spl2_6
    | ~ spl2_289
    | ~ spl2_343 ),
    inference(sat_conversion,[],[f16770]) ).

cnf(s1444,plain,
    ( ~ spl2_6
    | ~ spl2_115
    | ~ spl2_362 ),
    inference(sat_conversion,[],[f16771]) ).

cnf(s1445,plain,
    ( ~ spl2_15
    | spl2_499 ),
    inference(sat_conversion,[],[f16784]) ).

cnf(s1449,plain,
    ( ~ spl2_15
    | ~ spl2_269
    | ~ spl2_343 ),
    inference(sat_conversion,[],[f16841]) ).

cnf(s1461,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_419 ),
    inference(sat_conversion,[],[f16911]) ).

cnf(s1462,plain,
    ( ~ spl2_255
    | ~ spl2_292
    | ~ spl2_419 ),
    inference(sat_conversion,[],[f16913]) ).

cnf(s1467,plain,
    ( spl2_72
    | spl2_106
    | ~ spl2_266
    | ~ spl2_386 ),
    inference(sat_conversion,[],[f16983]) ).

cnf(s1468,plain,
    ( ~ spl2_16
    | spl2_389
    | ~ spl2_496 ),
    inference(sat_conversion,[],[f17001]) ).

cnf(s1477,plain,
    ( ~ spl2_399
    | spl2_456
    | ~ spl2_470 ),
    inference(sat_conversion,[],[f17078]) ).

cnf(s1478,plain,
    ( spl2_103
    | ~ spl2_395
    | ~ spl2_470 ),
    inference(sat_conversion,[],[f17079]) ).

cnf(s1479,plain,
    ( spl2_276
    | ~ spl2_314
    | ~ spl2_470 ),
    inference(sat_conversion,[],[f17080]) ).

cnf(s1480,plain,
    ( ~ spl2_86
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(sat_conversion,[],[f17140]) ).

cnf(s1481,plain,
    ( ~ spl2_392
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(sat_conversion,[],[f17142]) ).

cnf(s1482,plain,
    ( ~ spl2_68
    | ~ spl2_395
    | ~ spl2_440 ),
    inference(sat_conversion,[],[f17144]) ).

cnf(s1485,plain,
    ( ~ spl2_68
    | ~ spl2_116
    | ~ spl2_399
    | ~ spl2_440 ),
    inference(sat_conversion,[],[f17176]) ).

cnf(s1486,plain,
    ( ~ spl2_392
    | ~ spl2_399
    | ~ spl2_402
    | ~ spl2_440 ),
    inference(sat_conversion,[],[f17178]) ).

cnf(s1490,plain,
    ( ~ spl2_314
    | ~ spl2_316
    | ~ spl2_392
    | ~ spl2_440 ),
    inference(sat_conversion,[],[f17205]) ).

cnf(s1502,plain,
    ( ~ spl2_68
    | ~ spl2_255
    | ~ spl2_295
    | spl2_302 ),
    inference(sat_conversion,[],[f17314]) ).

cnf(s1505,plain,
    ( spl2_276
    | ~ spl2_389
    | ~ spl2_442 ),
    inference(sat_conversion,[],[f17345]) ).

cnf(s1506,plain,
    ( ~ spl2_24
    | ~ spl2_63
    | ~ spl2_289
    | ~ spl2_448 ),
    inference(sat_conversion,[],[f17361]) ).

cnf(s1508,plain,
    ( spl2_63
    | spl2_72
    | spl2_73 ),
    inference(sat_conversion,[],[f17370]) ).

cnf(s1511,plain,
    ( spl2_7
    | ~ spl2_120 ),
    inference(sat_conversion,[],[f17415]) ).

cnf(s1512,plain,
    ( ~ spl2_73
    | ~ spl2_132
    | spl2_198 ),
    inference(sat_conversion,[],[f17436]) ).

cnf(s1526,plain,
    ( ~ spl2_261
    | ~ spl2_273
    | spl2_276
    | ~ spl2_338 ),
    inference(sat_conversion,[],[f17597]) ).

cnf(s1533,plain,
    ( ~ spl2_96
    | spl2_104
    | ~ spl2_106
    | ~ spl2_357 ),
    inference(sat_conversion,[],[f17673]) ).

cnf(s1543,plain,
    ( ~ spl2_264
    | ~ spl2_284
    | ~ spl2_401
    | spl2_510 ),
    inference(sat_conversion,[],[f17804]) ).

cnf(s1544,plain,
    ( ~ spl2_26
    | spl2_104
    | ~ spl2_401
    | ~ spl2_463 ),
    inference(sat_conversion,[],[f17808]) ).

cnf(s1546,plain,
    ( ~ spl2_273
    | spl2_276
    | ~ spl2_316
    | ~ spl2_401 ),
    inference(sat_conversion,[],[f17810]) ).

cnf(s1549,plain,
    ( spl2_198
    | ~ spl2_268
    | ~ spl2_273
    | ~ spl2_303 ),
    inference(sat_conversion,[],[f17847]) ).

cnf(s1551,plain,
    ( ~ spl2_268
    | ~ spl2_273
    | ~ spl2_303
    | spl2_511 ),
    inference(sat_conversion,[],[f17853]) ).

cnf(s1556,plain,
    ( ~ spl2_111
    | spl2_284
    | ~ spl2_461 ),
    inference(sat_conversion,[],[f17863]) ).

cnf(s1565,plain,
    ( ~ spl2_263
    | ~ spl2_386
    | ~ spl2_433 ),
    inference(sat_conversion,[],[f18002]) ).

cnf(s1569,plain,
    ( ~ spl2_263
    | spl2_286
    | ~ spl2_411
    | spl2_496 ),
    inference(sat_conversion,[],[f18015]) ).

cnf(s1572,plain,
    ( ~ spl2_389
    | ~ spl2_434
    | spl2_510 ),
    inference(sat_conversion,[],[f18049]) ).

cnf(s1574,plain,
    ( ~ spl2_260
    | ~ spl2_264
    | ~ spl2_434 ),
    inference(sat_conversion,[],[f18066]) ).

cnf(s1579,plain,
    ( ~ spl2_265
    | ~ spl2_278
    | ~ spl2_510 ),
    inference(sat_conversion,[],[f18100]) ).

cnf(s1582,plain,
    ( ~ spl2_261
    | spl2_276
    | ~ spl2_301
    | ~ spl2_349 ),
    inference(sat_conversion,[],[f18145]) ).

cnf(s1591,plain,
    ( ~ spl2_95
    | ~ spl2_111
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f18235]) ).

cnf(s1601,plain,
    ( ~ spl2_115
    | ~ spl2_124
    | ~ spl2_321
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f18253]) ).

cnf(s1602,plain,
    ( ~ spl2_115
    | spl2_247
    | ~ spl2_317
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f18254]) ).

cnf(s1604,plain,
    ( ~ spl2_95
    | ~ spl2_111
    | ~ spl2_115
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f18256]) ).

cnf(s1609,plain,
    ( ~ spl2_278
    | ~ spl2_314
    | ~ spl2_412 ),
    inference(sat_conversion,[],[f18324]) ).

cnf(s1620,plain,
    ( ~ spl2_4
    | ~ spl2_393
    | ~ spl2_401 ),
    inference(sat_conversion,[],[f18452]) ).

cnf(s1623,plain,
    ( ~ spl2_26
    | ~ spl2_106
    | spl2_152
    | ~ spl2_485 ),
    inference(sat_conversion,[],[f18544]) ).

cnf(s1624,plain,
    ( ~ spl2_26
    | spl2_152
    | spl2_288
    | ~ spl2_485 ),
    inference(sat_conversion,[],[f18545]) ).

cnf(s1625,plain,
    ( ~ spl2_4
    | spl2_104
    | ~ spl2_278
    | ~ spl2_485 ),
    inference(sat_conversion,[],[f18546]) ).

cnf(s1640,plain,
    ( ~ spl2_63
    | spl2_273
    | ~ spl2_346 ),
    inference(sat_conversion,[],[f18670]) ).

cnf(s1644,plain,
    ( ~ spl2_76
    | spl2_524 ),
    inference(sat_conversion,[],[f18731]) ).

cnf(s1651,plain,
    ( ~ spl2_24
    | spl2_39
    | ~ spl2_76
    | ~ spl2_317 ),
    inference(sat_conversion,[],[f18756]) ).

cnf(s1658,plain,
    ( spl2_74
    | spl2_76
    | spl2_96 ),
    inference(sat_conversion,[],[f18775]) ).

cnf(s1663,plain,
    ( spl2_295
    | spl2_384 ),
    inference(sat_conversion,[],[f18781]) ).

cnf(s1668,plain,
    ( ~ spl2_19
    | ~ spl2_247
    | ~ spl2_469 ),
    inference(sat_conversion,[],[f18785]) ).

cnf(s1685,plain,
    ( ~ spl2_86
    | ~ spl2_268
    | ~ spl2_349
    | spl2_352 ),
    inference(sat_conversion,[],[f18896]) ).

cnf(s1687,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303
    | ~ spl2_402
    | spl2_412 ),
    inference(sat_conversion,[],[f18919]) ).

cnf(s1688,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_107
    | spl2_276
    | ~ spl2_303 ),
    inference(sat_conversion,[],[f18920]) ).

cnf(s1691,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_303 ),
    inference(sat_conversion,[],[f18931]) ).

cnf(s1695,plain,
    ( spl2_64
    | spl2_65
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f18940]) ).

cnf(s1706,plain,
    ( ~ spl2_58
    | spl2_72
    | ~ spl2_76
    | spl2_78
    | ~ spl2_92 ),
    inference(sat_conversion,[],[f18975]) ).

cnf(s1722,plain,
    ( ~ spl2_185
    | ~ spl2_392
    | ~ spl2_395 ),
    inference(sat_conversion,[],[f19164]) ).

cnf(s1730,plain,
    ( ~ spl2_105
    | ~ spl2_392
    | spl2_478 ),
    inference(sat_conversion,[],[f19337]) ).

cnf(s1732,plain,
    ( ~ spl2_105
    | ~ spl2_107
    | ~ spl2_254
    | ~ spl2_265 ),
    inference(sat_conversion,[],[f19356]) ).

cnf(s1733,plain,
    ( ~ spl2_105
    | ~ spl2_116
    | ~ spl2_254
    | ~ spl2_255 ),
    inference(sat_conversion,[],[f19358]) ).

cnf(s1734,plain,
    ( spl2_392
    | ~ spl2_400
    | ~ spl2_455 ),
    inference(sat_conversion,[],[f19359]) ).

cnf(s1735,plain,
    ( spl2_254
    | ~ spl2_289
    | ~ spl2_455 ),
    inference(sat_conversion,[],[f19360]) ).

cnf(s1740,plain,
    ( ~ spl2_259
    | ~ spl2_289
    | ~ spl2_474 ),
    inference(sat_conversion,[],[f19492]) ).

cnf(s1744,plain,
    ( ~ spl2_263
    | ~ spl2_400
    | ~ spl2_428 ),
    inference(sat_conversion,[],[f19548]) ).

cnf(s1748,plain,
    ( ~ spl2_247
    | ~ spl2_352
    | spl2_540 ),
    inference(sat_conversion,[],[f19624]) ).

cnf(s1750,plain,
    ( spl2_179
    | ~ spl2_268
    | ~ spl2_352 ),
    inference(sat_conversion,[],[f19626]) ).

cnf(s1751,plain,
    ( ~ spl2_26
    | ~ spl2_116
    | ~ spl2_540 ),
    inference(sat_conversion,[],[f19642]) ).

cnf(s1754,plain,
    ( ~ spl2_107
    | ~ spl2_121
    | spl2_288 ),
    inference(sat_conversion,[],[f19647]) ).

cnf(s1761,plain,
    ( ~ spl2_255
    | ~ spl2_261
    | ~ spl2_468 ),
    inference(sat_conversion,[],[f19722]) ).

cnf(s1768,plain,
    ( ~ spl2_24
    | spl2_396
    | ~ spl2_474 ),
    inference(sat_conversion,[],[f19738]) ).

cnf(s1778,plain,
    ( ~ spl2_26
    | spl2_82
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(sat_conversion,[],[f19831]) ).

cnf(s1793,plain,
    ( spl2_68
    | ~ spl2_84
    | spl2_116 ),
    inference(sat_conversion,[],[f19882]) ).

cnf(s1794,plain,
    ( spl2_7
    | spl2_116
    | spl2_547 ),
    inference(sat_conversion,[],[f19886]) ).

cnf(s1820,plain,
    ( ~ spl2_284
    | ~ spl2_286
    | ~ spl2_303
    | spl2_548 ),
    inference(sat_conversion,[],[f20190]) ).

cnf(s1824,plain,
    ( ~ spl2_4
    | spl2_37
    | spl2_82
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f20196]) ).

cnf(s1842,plain,
    ( ~ spl2_315
    | ~ spl2_322
    | ~ spl2_422 ),
    inference(sat_conversion,[],[f20473]) ).

cnf(s1847,plain,
    ( ~ spl2_263
    | spl2_284
    | spl2_474
    | ~ spl2_475 ),
    inference(sat_conversion,[],[f20482]) ).

cnf(s1852,plain,
    ( ~ spl2_121
    | ~ spl2_402
    | spl2_433 ),
    inference(sat_conversion,[],[f20540]) ).

cnf(s1853,plain,
    ( ~ spl2_112
    | ~ spl2_315
    | ~ spl2_400 ),
    inference(sat_conversion,[],[f20571]) ).

cnf(s1868,plain,
    ( ~ spl2_74
    | ~ spl2_86
    | spl2_349 ),
    inference(sat_conversion,[],[f20743]) ).

cnf(s1871,plain,
    ( ~ spl2_18
    | spl2_30
    | ~ spl2_33
    | spl2_46
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f20747]) ).

cnf(s1872,plain,
    ( spl2_73
    | ~ spl2_74
    | ~ spl2_273 ),
    inference(sat_conversion,[],[f20749]) ).

cnf(s1873,plain,
    ( spl2_60
    | ~ spl2_74
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f20751]) ).

cnf(s1876,plain,
    ( spl2_49
    | ~ spl2_74
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f20759]) ).

cnf(s1878,plain,
    ( ~ spl2_26
    | spl2_73
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f20762]) ).

cnf(s1888,plain,
    ( spl2_29
    | ~ spl2_74
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f20777]) ).

cnf(s1891,plain,
    ( ~ spl2_24
    | ~ spl2_74
    | spl2_82 ),
    inference(sat_conversion,[],[f20783]) ).

cnf(s1893,plain,
    ( ~ spl2_74
    | spl2_82
    | ~ spl2_115 ),
    inference(sat_conversion,[],[f20787]) ).

cnf(s1897,plain,
    ( spl2_48
    | ~ spl2_74
    | ~ spl2_105 ),
    inference(sat_conversion,[],[f20792]) ).

cnf(s1898,plain,
    ( spl2_29
    | spl2_46
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f20794]) ).

cnf(s1905,plain,
    ( ~ spl2_46
    | ~ spl2_179 ),
    inference(sat_conversion,[],[f20826]) ).

cnf(s1906,plain,
    ( ~ spl2_46
    | spl2_79 ),
    inference(sat_conversion,[],[f20834]) ).

cnf(s1908,plain,
    ( ~ spl2_26
    | ~ spl2_46
    | spl2_216
    | ~ spl2_303 ),
    inference(sat_conversion,[],[f20838]) ).

cnf(s1911,plain,
    ( ~ spl2_15
    | ~ spl2_288
    | ~ spl2_362 ),
    inference(sat_conversion,[],[f20890]) ).

cnf(s1918,plain,
    ( ~ spl2_92
    | spl2_107
    | spl2_245
    | ~ spl2_288
    | ~ spl2_321 ),
    inference(sat_conversion,[],[f20901]) ).

cnf(s1930,plain,
    ( ~ spl2_4
    | ~ spl2_39
    | ~ spl2_273
    | ~ spl2_352 ),
    inference(sat_conversion,[],[f20954]) ).

cnf(s1933,plain,
    ( ~ spl2_26
    | ~ spl2_75
    | spl2_456 ),
    inference(sat_conversion,[],[f21012]) ).

cnf(s1936,plain,
    ( ~ spl2_39
    | ~ spl2_75
    | spl2_555 ),
    inference(sat_conversion,[],[f21019]) ).

cnf(s1938,plain,
    ( ~ spl2_4
    | ~ spl2_555 ),
    inference(sat_conversion,[],[f21029]) ).

cnf(s1940,plain,
    ( ~ spl2_278
    | ~ spl2_555 ),
    inference(sat_conversion,[],[f21034]) ).

cnf(s1941,plain,
    ( ~ spl2_67
    | ~ spl2_555 ),
    inference(sat_conversion,[],[f21036]) ).

cnf(s1942,plain,
    ( ~ spl2_67
    | ~ spl2_78
    | ~ spl2_456 ),
    inference(sat_conversion,[],[f21050]) ).

cnf(s1943,plain,
    ( ~ spl2_39
    | ~ spl2_44
    | spl2_540 ),
    inference(sat_conversion,[],[f21097]) ).

cnf(s1946,plain,
    ( spl2_196
    | ~ spl2_268
    | ~ spl2_511 ),
    inference(sat_conversion,[],[f21124]) ).

cnf(s1955,plain,
    ( ~ spl2_4
    | spl2_23
    | ~ spl2_68
    | spl2_82 ),
    inference(sat_conversion,[],[f21155]) ).

cnf(s1957,plain,
    ( ~ spl2_107
    | ~ spl2_198
    | ~ spl2_273 ),
    inference(sat_conversion,[],[f21173]) ).

cnf(s1961,plain,
    ( ~ spl2_120
    | ~ spl2_198
    | spl2_232 ),
    inference(sat_conversion,[],[f21252]) ).

cnf(s1966,plain,
    ( ~ spl2_120
    | spl2_245
    | spl2_247
    | spl2_273 ),
    inference(sat_conversion,[],[f21266]) ).

cnf(s1971,plain,
    ( ~ spl2_111
    | spl2_399
    | ~ spl2_423 ),
    inference(sat_conversion,[],[f21293]) ).

cnf(s1972,plain,
    ( spl2_181
    | ~ spl2_268
    | ~ spl2_351 ),
    inference(sat_conversion,[],[f21326]) ).

cnf(s1973,plain,
    ( ~ spl2_4
    | ~ spl2_67
    | ~ spl2_83
    | spl2_555 ),
    inference(sat_conversion,[],[f21343]) ).

cnf(s1974,plain,
    ( ~ spl2_15
    | ~ spl2_76
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f21345]) ).

cnf(s1975,plain,
    ( ~ spl2_8
    | ~ spl2_24
    | ~ spl2_33
    | spl2_67
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f21347]) ).

cnf(s1997,plain,
    ( spl2_68
    | spl2_72
    | spl2_73
    | ~ spl2_120 ),
    inference(sat_conversion,[],[f21387]) ).

cnf(s2005,plain,
    ( ~ spl2_82
    | spl2_531 ),
    inference(sat_conversion,[],[f21450]) ).

cnf(s2018,plain,
    ( spl2_179
    | ~ spl2_396
    | ~ spl2_542 ),
    inference(sat_conversion,[],[f21657]) ).

cnf(s2019,plain,
    ( ~ spl2_389
    | spl2_540
    | ~ spl2_542 ),
    inference(sat_conversion,[],[f21658]) ).

cnf(s2028,plain,
    ( spl2_185
    | ~ spl2_395
    | ~ spl2_417 ),
    inference(sat_conversion,[],[f21766]) ).

cnf(s2040,plain,
    ( ~ spl2_389
    | ~ spl2_417
    | spl2_559 ),
    inference(sat_conversion,[],[f21785]) ).

cnf(s2041,plain,
    ( ~ spl2_389
    | ~ spl2_392
    | ~ spl2_559 ),
    inference(sat_conversion,[],[f21803]) ).

cnf(s2042,plain,
    ( ~ spl2_254
    | ~ spl2_255
    | ~ spl2_559 ),
    inference(sat_conversion,[],[f21805]) ).

cnf(s2050,plain,
    ( ~ spl2_107
    | ~ spl2_116
    | spl2_117
    | ~ spl2_247 ),
    inference(sat_conversion,[],[f21997]) ).

cnf(s2053,plain,
    ( spl2_115
    | ~ spl2_116
    | spl2_117
    | ~ spl2_247 ),
    inference(sat_conversion,[],[f22002]) ).

cnf(s2054,plain,
    ( spl2_72
    | ~ spl2_116
    | spl2_117
    | ~ spl2_191
    | ~ spl2_247
    | spl2_273 ),
    inference(sat_conversion,[],[f22004]) ).

cnf(s2064,plain,
    ( spl2_19
    | ~ spl2_24
    | spl2_116
    | spl2_120 ),
    inference(sat_conversion,[],[f22020]) ).

cnf(s2065,plain,
    ( ~ spl2_265
    | ~ spl2_284
    | ~ spl2_358
    | spl2_510 ),
    inference(sat_conversion,[],[f22022]) ).

cnf(s2069,plain,
    ( ~ spl2_76
    | ~ spl2_437
    | ~ spl2_496 ),
    inference(sat_conversion,[],[f22026]) ).

cnf(s2075,plain,
    ( ~ spl2_95
    | ~ spl2_400
    | ~ spl2_437
    | ~ spl2_475 ),
    inference(sat_conversion,[],[f22037]) ).

cnf(s2076,plain,
    ( ~ spl2_8
    | spl2_19
    | ~ spl2_24
    | spl2_120 ),
    inference(sat_conversion,[],[f22038]) ).

cnf(s2077,plain,
    ( ~ spl2_26
    | spl2_104
    | spl2_288
    | ~ spl2_358 ),
    inference(sat_conversion,[],[f22039]) ).

cnf(s2079,plain,
    ( ~ spl2_76
    | spl2_395
    | ~ spl2_496 ),
    inference(sat_conversion,[],[f22041]) ).

cnf(s2092,plain,
    ( ~ spl2_115
    | spl2_248
    | ~ spl2_455 ),
    inference(sat_conversion,[],[f22176]) ).

cnf(s2096,plain,
    ( ~ spl2_63
    | ~ spl2_82
    | ~ spl2_115
    | ~ spl2_520 ),
    inference(sat_conversion,[],[f22182]) ).

cnf(s2115,plain,
    ( ~ spl2_118
    | spl2_247
    | spl2_273 ),
    inference(sat_conversion,[],[f22310]) ).

cnf(s2132,plain,
    ( ~ spl2_4
    | ~ spl2_399
    | ~ spl2_412 ),
    inference(sat_conversion,[],[f22626]) ).

cnf(s2138,plain,
    ( ~ spl2_24
    | ~ spl2_259
    | ~ spl2_269
    | ~ spl2_400
    | ~ spl2_411 ),
    inference(sat_conversion,[],[f22724]) ).

cnf(s2140,plain,
    ( ~ spl2_259
    | spl2_286
    | spl2_386
    | spl2_396 ),
    inference(sat_conversion,[],[f22727]) ).

cnf(s2148,plain,
    ( ~ spl2_24
    | ~ spl2_76
    | ~ spl2_400
    | ~ spl2_411
    | ~ spl2_437 ),
    inference(sat_conversion,[],[f22858]) ).

cnf(s2160,plain,
    ( spl2_389
    | ~ spl2_433
    | ~ spl2_437
    | ~ spl2_525 ),
    inference(sat_conversion,[],[f22915]) ).

cnf(s2173,plain,
    ( spl2_109
    | ~ spl2_399
    | ~ spl2_439 ),
    inference(sat_conversion,[],[f23072]) ).

cnf(s2180,plain,
    ( spl2_12
    | spl2_109
    | ~ spl2_439 ),
    inference(sat_conversion,[],[f23094]) ).

cnf(s2184,plain,
    ( spl2_29
    | spl2_46
    | ~ spl2_439 ),
    inference(sat_conversion,[],[f23099]) ).

cnf(s2189,plain,
    ( spl2_99
    | spl2_137
    | ~ spl2_439 ),
    inference(sat_conversion,[],[f23105]) ).

cnf(s2192,plain,
    ( spl2_109
    | spl2_116
    | ~ spl2_118
    | ~ spl2_439 ),
    inference(sat_conversion,[],[f23111]) ).

cnf(s2196,plain,
    ( ~ spl2_198
    | ~ spl2_399
    | ~ spl2_402 ),
    inference(sat_conversion,[],[f23136]) ).

cnf(s2198,plain,
    ( ~ spl2_118
    | spl2_389
    | spl2_399 ),
    inference(sat_conversion,[],[f23144]) ).

cnf(s2201,plain,
    ( ~ spl2_86
    | ~ spl2_349
    | ~ spl2_469 ),
    inference(sat_conversion,[],[f23215]) ).

cnf(s2204,plain,
    ( ~ spl2_313
    | ~ spl2_362
    | ~ spl2_477 ),
    inference(sat_conversion,[],[f23273]) ).

cnf(s2212,plain,
    ( spl2_288
    | ~ spl2_349
    | ~ spl2_352 ),
    inference(sat_conversion,[],[f23375]) ).

cnf(s2223,plain,
    ( ~ spl2_247
    | spl2_505
    | ~ spl2_511 ),
    inference(sat_conversion,[],[f23404]) ).

cnf(s2241,plain,
    ( ~ spl2_179
    | ~ spl2_396
    | spl2_433 ),
    inference(sat_conversion,[],[f23759]) ).

cnf(s2246,plain,
    ( ~ spl2_110
    | ~ spl2_266
    | spl2_286
    | ~ spl2_289 ),
    inference(sat_conversion,[],[f23850]) ).

cnf(s2248,plain,
    ( ~ spl2_255
    | spl2_269
    | ~ spl2_540 ),
    inference(sat_conversion,[],[f23853]) ).

cnf(s2250,plain,
    ( ~ spl2_103
    | ~ spl2_248
    | ~ spl2_278 ),
    inference(sat_conversion,[],[f23876]) ).

cnf(s2251,plain,
    ( ~ spl2_103
    | ~ spl2_254
    | ~ spl2_292 ),
    inference(sat_conversion,[],[f23878]) ).

cnf(s2253,plain,
    ( ~ spl2_269
    | spl2_551 ),
    inference(sat_conversion,[],[f23917]) ).

cnf(s2258,plain,
    ( ~ spl2_284
    | ~ spl2_286
    | ~ spl2_303
    | spl2_548 ),
    inference(sat_conversion,[],[f23938]) ).

cnf(s2266,plain,
    ( ~ spl2_263
    | ~ spl2_383
    | spl2_392 ),
    inference(sat_conversion,[],[f24043]) ).

cnf(s2276,plain,
    ( ~ spl2_392
    | ~ spl2_396
    | spl2_433
    | ~ spl2_440 ),
    inference(sat_conversion,[],[f24373]) ).

cnf(s2278,plain,
    ( ~ spl2_73
    | ~ spl2_86
    | spl2_132
    | ~ spl2_303 ),
    inference(sat_conversion,[],[f24377]) ).

cnf(s2279,plain,
    ( ~ spl2_8
    | ~ spl2_12
    | ~ spl2_24
    | ~ spl2_38 ),
    inference(sat_conversion,[],[f24378]) ).

cnf(s2280,plain,
    ( spl2_73
    | spl2_95
    | ~ spl2_531 ),
    inference(sat_conversion,[],[f24382]) ).

cnf(s2282,plain,
    ( ~ spl2_12
    | ~ spl2_24
    | spl2_72
    | spl2_73 ),
    inference(sat_conversion,[],[f24384]) ).

cnf(s2284,plain,
    ( ~ spl2_12
    | ~ spl2_24
    | ~ spl2_110
    | ~ spl2_115 ),
    inference(sat_conversion,[],[f24386]) ).

cnf(s2286,plain,
    ( ~ spl2_12
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f24388]) ).

cnf(s2293,plain,
    ( spl2_248
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(sat_conversion,[],[f24399]) ).

cnf(s2295,plain,
    ( spl2_74
    | spl2_248
    | ~ spl2_266
    | ~ spl2_383 ),
    inference(sat_conversion,[],[f24400]) ).

cnf(s2303,plain,
    ( ~ spl2_26
    | ~ spl2_268
    | ~ spl2_492 ),
    inference(sat_conversion,[],[f24563]) ).

cnf(s2304,plain,
    ( ~ spl2_4
    | ~ spl2_247
    | ~ spl2_492 ),
    inference(sat_conversion,[],[f24565]) ).

cnf(s2307,plain,
    ( ~ spl2_389
    | ~ spl2_410
    | spl2_419 ),
    inference(sat_conversion,[],[f24671]) ).

cnf(s2310,plain,
    ( ~ spl2_120
    | ~ spl2_198
    | ~ spl2_505
    | spl2_573 ),
    inference(sat_conversion,[],[f24735]) ).

cnf(s2313,plain,
    ( ~ spl2_26
    | ~ spl2_73
    | ~ spl2_268
    | ~ spl2_312 ),
    inference(sat_conversion,[],[f24794]) ).

cnf(s2315,plain,
    ( ~ spl2_284
    | ~ spl2_287
    | spl2_492 ),
    inference(sat_conversion,[],[f24833]) ).

cnf(s2324,plain,
    ( ~ spl2_399
    | ~ spl2_415
    | spl2_492 ),
    inference(sat_conversion,[],[f24942]) ).

cnf(s2326,plain,
    ( ~ spl2_303
    | ~ spl2_396
    | ~ spl2_399
    | spl2_575 ),
    inference(sat_conversion,[],[f24947]) ).

cnf(s2338,plain,
    ( ~ spl2_248
    | ~ spl2_268
    | spl2_288
    | ~ spl2_312 ),
    inference(sat_conversion,[],[f25154]) ).

cnf(s2340,plain,
    ( ~ spl2_16
    | ~ spl2_61
    | spl2_68 ),
    inference(sat_conversion,[],[f25156]) ).

cnf(s2355,plain,
    ( ~ spl2_315
    | spl2_349
    | ~ spl2_437
    | spl2_494 ),
    inference(sat_conversion,[],[f25185]) ).

cnf(s2363,plain,
    ( spl2_16
    | spl2_39 ),
    inference(sat_conversion,[],[f25199]) ).

cnf(s2376,plain,
    ( ~ spl2_179
    | ~ spl2_268
    | spl2_288 ),
    inference(sat_conversion,[],[f25456]) ).

cnf(s2380,plain,
    ( ~ spl2_4
    | spl2_37
    | spl2_115
    | ~ spl2_268 ),
    inference(sat_conversion,[],[f25461]) ).

cnf(s2384,plain,
    ( ~ spl2_49
    | ~ spl2_86
    | ~ spl2_574 ),
    inference(sat_conversion,[],[f25467]) ).

cnf(s2386,plain,
    ( ~ spl2_61
    | spl2_254
    | ~ spl2_269 ),
    inference(sat_conversion,[],[f25470]) ).

cnf(s2391,plain,
    ( ~ spl2_24
    | ~ spl2_60
    | ~ spl2_82
    | spl2_254
    | ~ spl2_269 ),
    inference(sat_conversion,[],[f25478]) ).

cnf(s2393,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_60
    | spl2_74
    | ~ spl2_82
    | spl2_96 ),
    inference(sat_conversion,[],[f25482]) ).

cnf(s2410,plain,
    ( ~ spl2_39
    | ~ spl2_116
    | ~ spl2_121 ),
    inference(sat_conversion,[],[f25527]) ).

cnf(s2427,plain,
    ( spl2_115
    | spl2_245
    | ~ spl2_573 ),
    inference(sat_conversion,[],[f25744]) ).

cnf(s2438,plain,
    ( ~ spl2_49
    | ~ spl2_73
    | ~ spl2_181 ),
    inference(sat_conversion,[],[f25829]) ).

cnf(s2439,plain,
    ( ~ spl2_181
    | ~ spl2_392
    | ~ spl2_396 ),
    inference(sat_conversion,[],[f25831]) ).

cnf(s2440,plain,
    ( ~ spl2_181
    | ~ spl2_248
    | ~ spl2_268 ),
    inference(sat_conversion,[],[f25833]) ).

cnf(s2445,plain,
    ( ~ spl2_82
    | spl2_295
    | ~ spl2_428 ),
    inference(sat_conversion,[],[f25910]) ).

cnf(s2447,plain,
    ( ~ spl2_179
    | spl2_269
    | ~ spl2_286 ),
    inference(sat_conversion,[],[f25913]) ).

cnf(s2449,plain,
    ( spl2_255
    | spl2_297 ),
    inference(sat_conversion,[],[f25920]) ).

cnf(s2455,plain,
    ( spl2_285
    | spl2_289 ),
    inference(sat_conversion,[],[f25955]) ).

cnf(s2462,plain,
    ( spl2_247
    | ~ spl2_262
    | ~ spl2_297
    | spl2_579 ),
    inference(sat_conversion,[],[f26095]) ).

cnf(s2469,plain,
    ( ~ spl2_39
    | ~ spl2_48
    | spl2_456 ),
    inference(sat_conversion,[],[f26144]) ).

cnf(s2499,plain,
    ( ~ spl2_37
    | ~ spl2_68
    | ~ spl2_73
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f26319]) ).

cnf(s2501,plain,
    ( ~ spl2_389
    | spl2_400
    | ~ spl2_505 ),
    inference(sat_conversion,[],[f26321]) ).

cnf(s2507,plain,
    ( ~ spl2_24
    | ~ spl2_76
    | ~ spl2_400
    | ~ spl2_411
    | ~ spl2_437 ),
    inference(sat_conversion,[],[f26336]) ).

cnf(s2528,plain,
    ( ~ spl2_19
    | ~ spl2_286
    | ~ spl2_510 ),
    inference(sat_conversion,[],[f26490]) ).

cnf(s2529,plain,
    ( ~ spl2_4
    | ~ spl2_284
    | ~ spl2_510 ),
    inference(sat_conversion,[],[f26492]) ).

cnf(s2545,plain,
    ( ~ spl2_8
    | ~ spl2_24
    | ~ spl2_33
    | spl2_393
    | ~ spl2_433 ),
    inference(sat_conversion,[],[f26620]) ).

cnf(s2546,plain,
    ( ~ spl2_266
    | ~ spl2_362
    | ~ spl2_579 ),
    inference(sat_conversion,[],[f26621]) ).

cnf(s2569,plain,
    ( ~ spl2_39
    | ~ spl2_86
    | ~ spl2_559 ),
    inference(sat_conversion,[],[f26769]) ).

cnf(s2576,plain,
    ( ~ spl2_23
    | ~ spl2_68
    | ~ spl2_73 ),
    inference(sat_conversion,[],[f26779]) ).

cnf(s2580,plain,
    ( ~ spl2_4
    | spl2_37
    | ~ spl2_396
    | spl2_400 ),
    inference(sat_conversion,[],[f26787]) ).

cnf(s2591,plain,
    ( spl2_26
    | ~ spl2_245
    | ~ spl2_284 ),
    inference(sat_conversion,[],[f26928]) ).

cnf(s2594,plain,
    ( spl2_63
    | ~ spl2_245
    | ~ spl2_313 ),
    inference(sat_conversion,[],[f26933]) ).

cnf(s2596,plain,
    ( ~ spl2_18
    | spl2_30
    | ~ spl2_33
    | spl2_46
    | ~ spl2_245 ),
    inference(sat_conversion,[],[f26936]) ).

cnf(s2597,plain,
    ( spl2_49
    | ~ spl2_245
    | ~ spl2_268 ),
    inference(sat_conversion,[],[f26938]) ).

cnf(s2600,plain,
    ( spl2_21
    | ~ spl2_245
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f26944]) ).

cnf(s2601,plain,
    ( ~ spl2_24
    | ~ spl2_245
    | spl2_277 ),
    inference(sat_conversion,[],[f26946]) ).

cnf(s2607,plain,
    ( spl2_29
    | spl2_46
    | ~ spl2_245 ),
    inference(sat_conversion,[],[f26957]) ).

cnf(s2623,plain,
    ( ~ spl2_4
    | ~ spl2_109
    | ~ spl2_456 ),
    inference(sat_conversion,[],[f27060]) ).

cnf(s2630,plain,
    ( ~ spl2_26
    | ~ spl2_49
    | ~ spl2_198 ),
    inference(sat_conversion,[],[f27132]) ).

cnf(s2635,plain,
    ( ~ spl2_247
    | ~ spl2_248
    | ~ spl2_559 ),
    inference(sat_conversion,[],[f27266]) ).

cnf(s2636,plain,
    ( ~ spl2_98
    | spl2_349 ),
    inference(sat_conversion,[],[f27268]) ).

cnf(s2640,plain,
    ( ~ spl2_24
    | ~ spl2_76
    | ~ spl2_252 ),
    inference(sat_conversion,[],[f27338]) ).

cnf(s2641,plain,
    ( ~ spl2_115
    | ~ spl2_252
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f27342]) ).

cnf(s2665,plain,
    ( ~ spl2_284
    | spl2_467
    | ~ spl2_488 ),
    inference(sat_conversion,[],[f27822]) ).

cnf(s2672,plain,
    ( ~ spl2_73
    | spl2_103
    | ~ spl2_248
    | ~ spl2_358 ),
    inference(sat_conversion,[],[f27953]) ).

cnf(s2673,plain,
    ( ~ spl2_4
    | ~ spl2_278
    | ~ spl2_358
    | spl2_555 ),
    inference(sat_conversion,[],[f27954]) ).

cnf(s2678,plain,
    ( ~ spl2_270
    | ~ spl2_284
    | spl2_589 ),
    inference(sat_conversion,[],[f28005]) ).

cnf(s2679,plain,
    ( ~ spl2_26
    | ~ spl2_273
    | ~ spl2_588 ),
    inference(sat_conversion,[],[f28051]) ).

cnf(s2680,plain,
    ( ~ spl2_270
    | ~ spl2_286
    | spl2_588 ),
    inference(sat_conversion,[],[f28062]) ).

cnf(s2689,plain,
    ( ~ spl2_284
    | ~ spl2_340
    | spl2_574 ),
    inference(sat_conversion,[],[f28250]) ).

cnf(s2691,plain,
    ( ~ spl2_26
    | ~ spl2_73
    | ~ spl2_286
    | ~ spl2_340 ),
    inference(sat_conversion,[],[f28298]) ).

cnf(s2696,plain,
    ( ~ spl2_120
    | spl2_253
    | spl2_255
    | spl2_284 ),
    inference(sat_conversion,[],[f28311]) ).

cnf(s2709,plain,
    ( ~ spl2_255
    | spl2_289
    | ~ spl2_505 ),
    inference(sat_conversion,[],[f28652]) ).

cnf(s2718,plain,
    ( ~ spl2_4
    | ~ spl2_275
    | ~ spl2_278
    | spl2_456 ),
    inference(sat_conversion,[],[f28660]) ).

cnf(s2730,plain,
    ( ~ spl2_68
    | ~ spl2_247
    | ~ spl2_248
    | spl2_419 ),
    inference(sat_conversion,[],[f28934]) ).

cnf(s2731,plain,
    ( ~ spl2_68
    | ~ spl2_247
    | ~ spl2_248
    | spl2_594 ),
    inference(sat_conversion,[],[f28938]) ).

cnf(s2738,plain,
    ( ~ spl2_39
    | ~ spl2_389
    | ~ spl2_396
    | spl2_410 ),
    inference(sat_conversion,[],[f29024]) ).

cnf(s2739,plain,
    ( ~ spl2_39
    | ~ spl2_255
    | ~ spl2_286
    | spl2_302 ),
    inference(sat_conversion,[],[f29025]) ).

cnf(s2747,plain,
    ( ~ spl2_389
    | spl2_505
    | ~ spl2_575 ),
    inference(sat_conversion,[],[f29040]) ).

cnf(s2748,plain,
    ( spl2_196
    | ~ spl2_396
    | ~ spl2_575 ),
    inference(sat_conversion,[],[f29041]) ).

cnf(s2753,plain,
    ( ~ spl2_49
    | ~ spl2_216
    | spl2_595 ),
    inference(sat_conversion,[],[f29057]) ).

cnf(s2756,plain,
    ( ~ spl2_49
    | ~ spl2_268
    | ~ spl2_589 ),
    inference(sat_conversion,[],[f29062]) ).

cnf(s2760,plain,
    ( ~ spl2_63
    | spl2_284
    | ~ spl2_383 ),
    inference(sat_conversion,[],[f29069]) ).

cnf(s2762,plain,
    ( ~ spl2_58
    | spl2_255
    | ~ spl2_383 ),
    inference(sat_conversion,[],[f29075]) ).

cnf(s2763,plain,
    ( ~ spl2_24
    | ~ spl2_115
    | ~ spl2_262
    | ~ spl2_269
    | ~ spl2_277 ),
    inference(sat_conversion,[],[f29076]) ).

cnf(s2766,plain,
    ( ~ spl2_24
    | ~ spl2_115
    | ~ spl2_277
    | ~ spl2_315
    | ~ spl2_433 ),
    inference(sat_conversion,[],[f29079]) ).

cnf(s2772,plain,
    ( ~ spl2_21
    | ~ spl2_82
    | spl2_116
    | ~ spl2_525 ),
    inference(sat_conversion,[],[f29092]) ).

cnf(s2773,plain,
    ( ~ spl2_24
    | ~ spl2_76
    | ~ spl2_115
    | ~ spl2_277
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f29093]) ).

cnf(s2774,plain,
    ( spl2_247
    | ~ spl2_288
    | ~ spl2_347
    | ~ spl2_525 ),
    inference(sat_conversion,[],[f29095]) ).

cnf(s2787,plain,
    ( spl2_26
    | spl2_27
    | spl2_39
    | ~ spl2_120 ),
    inference(sat_conversion,[],[f29146]) ).

cnf(s2788,plain,
    ( ~ spl2_21
    | spl2_39
    | ~ spl2_118 ),
    inference(sat_conversion,[],[f29191]) ).

cnf(s2799,plain,
    ( ~ spl2_115
    | ~ spl2_266
    | ~ spl2_428 ),
    inference(sat_conversion,[],[f29342]) ).

cnf(s2801,plain,
    ( ~ spl2_8
    | spl2_255
    | ~ spl2_428 ),
    inference(sat_conversion,[],[f29344]) ).

cnf(s2802,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_95 ),
    inference(sat_conversion,[],[f29393]) ).

cnf(s2811,plain,
    ( ~ spl2_4
    | spl2_23
    | spl2_115
    | ~ spl2_273 ),
    inference(sat_conversion,[],[f29615]) ).

cnf(s2825,plain,
    ( ~ spl2_8
    | ~ spl2_33
    | ~ spl2_110
    | spl2_278 ),
    inference(sat_conversion,[],[f29635]) ).

cnf(s2845,plain,
    ( ~ spl2_48
    | ~ spl2_96
    | spl2_574 ),
    inference(sat_conversion,[],[f29725]) ).

cnf(s2871,plain,
    ( ~ spl2_261
    | ~ spl2_285
    | ~ spl2_589 ),
    inference(sat_conversion,[],[f29926]) ).

cnf(s2887,plain,
    ( ~ spl2_261
    | spl2_269
    | ~ spl2_588 ),
    inference(sat_conversion,[],[f30051]) ).

cnf(s2898,plain,
    ( ~ spl2_4
    | ~ spl2_314
    | spl2_400
    | spl2_550 ),
    inference(sat_conversion,[],[f30115]) ).

cnf(s2907,plain,
    ( ~ spl2_56
    | spl2_255
    | spl2_286
    | spl2_292 ),
    inference(sat_conversion,[],[f30127]) ).

cnf(s2909,plain,
    ( ~ spl2_21
    | spl2_399
    | ~ spl2_496 ),
    inference(sat_conversion,[],[f30130]) ).

cnf(s2920,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | ~ spl2_419 ),
    inference(sat_conversion,[],[f30179]) ).

cnf(s2921,plain,
    ( ~ spl2_4
    | spl2_23
    | spl2_115
    | ~ spl2_247 ),
    inference(sat_conversion,[],[f30194]) ).

cnf(s2927,plain,
    ( ~ spl2_4
    | spl2_23
    | ~ spl2_255
    | spl2_289 ),
    inference(sat_conversion,[],[f30232]) ).

cnf(s2960,plain,
    ( ~ spl2_86
    | ~ spl2_392
    | spl2_433
    | spl2_440 ),
    inference(sat_conversion,[],[f30614]) ).

cnf(s2962,plain,
    ( ~ spl2_288
    | ~ spl2_313
    | ~ spl2_496 ),
    inference(sat_conversion,[],[f30675]) ).

cnf(s2965,plain,
    ( ~ spl2_110
    | ~ spl2_313
    | ~ spl2_400
    | ~ spl2_411 ),
    inference(sat_conversion,[],[f30682]) ).

cnf(s2977,plain,
    ( ~ spl2_247
    | ~ spl2_278
    | ~ spl2_419 ),
    inference(sat_conversion,[],[f30719]) ).

cnf(s2984,plain,
    ( ~ spl2_315
    | spl2_349
    | ~ spl2_437
    | spl2_494 ),
    inference(sat_conversion,[],[f30897]) ).

cnf(s2985,plain,
    ( ~ spl2_16
    | spl2_255
    | ~ spl2_386 ),
    inference(sat_conversion,[],[f30942]) ).

cnf(s2988,plain,
    ( ~ spl2_4
    | ~ spl2_67
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(sat_conversion,[],[f31304]) ).

cnf(s2989,plain,
    ( ~ spl2_26
    | spl2_76
    | ~ spl2_273
    | ~ spl2_536 ),
    inference(sat_conversion,[],[f31306]) ).

cnf(s2990,plain,
    ( ~ spl2_261
    | ~ spl2_273
    | ~ spl2_339
    | spl2_588 ),
    inference(sat_conversion,[],[f31325]) ).

cnf(s2992,plain,
    ( ~ spl2_4
    | spl2_103
    | ~ spl2_278
    | ~ spl2_350 ),
    inference(sat_conversion,[],[f31348]) ).

cnf(s2993,plain,
    ( ~ spl2_4
    | ~ spl2_393
    | ~ spl2_409
    | spl2_456 ),
    inference(sat_conversion,[],[f31366]) ).

cnf(s2994,plain,
    ( ~ spl2_26
    | ~ spl2_73
    | ~ spl2_96
    | spl2_216 ),
    inference(sat_conversion,[],[f31383]) ).

cnf(s2996,plain,
    ( ~ spl2_4
    | spl2_23
    | ~ spl2_120
    | ~ spl2_505
    | spl2_573 ),
    inference(sat_conversion,[],[f31610]) ).

cnf(s3000,plain,
    ( ~ spl2_67
    | ~ spl2_292
    | ~ spl2_369
    | spl2_456 ),
    inference(sat_conversion,[],[f31657]) ).

cnf(s3002,plain,
    ( ~ spl2_67
    | ~ spl2_393
    | ~ spl2_398
    | spl2_555 ),
    inference(sat_conversion,[],[f31676]) ).

cnf(s3018,plain,
    ( spl2_72
    | spl2_254
    | ~ spl2_266
    | spl2_295
    | ~ spl2_520 ),
    inference(sat_conversion,[],[f31840]) ).

cnf(s3021,plain,
    ( ~ spl2_247
    | ~ spl2_255
    | ~ spl2_261
    | spl2_274 ),
    inference(sat_conversion,[],[f31874]) ).

cnf(s3022,plain,
    ( ~ spl2_255
    | ~ spl2_260
    | ~ spl2_389
    | spl2_410 ),
    inference(sat_conversion,[],[f31875]) ).

cnf(s3024,plain,
    ( spl2_72
    | ~ spl2_262
    | spl2_295
    | spl2_349
    | spl2_383 ),
    inference(sat_conversion,[],[f31943]) ).

cnf(s3026,plain,
    ( spl2_72
    | ~ spl2_259
    | spl2_295
    | spl2_383
    | spl2_395 ),
    inference(sat_conversion,[],[f32013]) ).

cnf(s3027,plain,
    ( ~ spl2_4
    | spl2_104
    | ~ spl2_393
    | ~ spl2_408 ),
    inference(sat_conversion,[],[f32050]) ).

cnf(s3028,plain,
    ( ~ spl2_115
    | ~ spl2_313
    | ~ spl2_347
    | ~ spl2_400
    | ~ spl2_437 ),
    inference(sat_conversion,[],[f32093]) ).

cnf(s3029,plain,
    ( spl2_72
    | ~ spl2_115
    | ~ spl2_266
    | ~ spl2_289
    | spl2_295
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f32095]) ).

cnf(s3032,plain,
    ( ~ spl2_115
    | spl2_273
    | spl2_601 ),
    inference(sat_conversion,[],[f32103]) ).

cnf(s3034,plain,
    ( spl2_68
    | ~ spl2_433
    | ~ spl2_437
    | ~ spl2_473
    | ~ spl2_524 ),
    inference(sat_conversion,[],[f32110]) ).

cnf(s3035,plain,
    ( spl2_68
    | spl2_72
    | ~ spl2_269
    | spl2_295
    | ~ spl2_297
    | ~ spl2_524 ),
    inference(sat_conversion,[],[f32113]) ).

cnf(s3036,plain,
    ( ~ spl2_39
    | spl2_94
    | ~ spl2_106
    | ~ spl2_247 ),
    inference(sat_conversion,[],[f32116]) ).

cnf(s3039,plain,
    ( spl2_72
    | ~ spl2_124
    | ~ spl2_289
    | spl2_295
    | ~ spl2_297 ),
    inference(sat_conversion,[],[f32122]) ).

cnf(s3043,plain,
    ( spl2_72
    | spl2_255
    | ~ spl2_289
    | spl2_295
    | ~ spl2_317 ),
    inference(sat_conversion,[],[f32131]) ).

cnf(s3046,plain,
    ( ~ spl2_124
    | ~ spl2_400
    | ~ spl2_437
    | ~ spl2_473 ),
    inference(sat_conversion,[],[f32135]) ).

cnf(s3049,plain,
    ( ~ spl2_24
    | ~ spl2_29
    | ~ spl2_110
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f32138]) ).

cnf(s3050,plain,
    ( ~ spl2_317
    | spl2_389
    | ~ spl2_400
    | ~ spl2_437 ),
    inference(sat_conversion,[],[f32141]) ).

cnf(s3051,plain,
    ( ~ spl2_24
    | ~ spl2_76
    | ~ spl2_115
    | ~ spl2_288
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f32142]) ).

cnf(s3064,plain,
    ( ~ spl2_109
    | ~ spl2_198 ),
    inference(sat_conversion,[],[f32186]) ).

cnf(s3073,plain,
    ( ~ spl2_198
    | ~ spl2_284
    | spl2_289 ),
    inference(sat_conversion,[],[f32259]) ).

cnf(s3076,plain,
    ( ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_284
    | spl2_289 ),
    inference(sat_conversion,[],[f32263]) ).

cnf(s3095,plain,
    ( spl2_253
    | spl2_433
    | spl2_463 ),
    inference(sat_conversion,[],[f32432]) ).

cnf(s3096,plain,
    ( spl2_406
    | spl2_433
    | spl2_463 ),
    inference(sat_conversion,[],[f32433]) ).

cnf(s3097,plain,
    ( ~ spl2_247
    | ~ spl2_255
    | ~ spl2_265
    | spl2_302 ),
    inference(sat_conversion,[],[f32523]) ).

cnf(s3099,plain,
    ( spl2_43
    | ~ spl2_268
    | ~ spl2_274 ),
    inference(sat_conversion,[],[f32630]) ).

cnf(s3100,plain,
    ( ~ spl2_247
    | ~ spl2_274
    | spl2_419 ),
    inference(sat_conversion,[],[f32631]) ).

cnf(s3103,plain,
    ( ~ spl2_263
    | spl2_295
    | ~ spl2_437
    | spl2_494 ),
    inference(sat_conversion,[],[f32706]) ).

cnf(s3106,plain,
    ( spl2_72
    | spl2_255
    | ~ spl2_269
    | spl2_295
    | ~ spl2_525 ),
    inference(sat_conversion,[],[f32797]) ).

cnf(s3110,plain,
    ( ~ spl2_61
    | spl2_248
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f32931]) ).

cnf(s3111,plain,
    ( ~ spl2_396
    | ~ spl2_442
    | spl2_588 ),
    inference(sat_conversion,[],[f32953]) ).

cnf(s3112,plain,
    ( ~ spl2_399
    | ~ spl2_442
    | spl2_589 ),
    inference(sat_conversion,[],[f32954]) ).

cnf(s3117,plain,
    ( ~ spl2_268
    | ~ spl2_314
    | ~ spl2_442 ),
    inference(sat_conversion,[],[f32978]) ).

cnf(s3118,plain,
    ( ~ spl2_58
    | spl2_389
    | ~ spl2_494 ),
    inference(sat_conversion,[],[f32982]) ).

cnf(s3122,plain,
    ( ~ spl2_247
    | ~ spl2_314
    | ~ spl2_389
    | spl2_410 ),
    inference(sat_conversion,[],[f32988]) ).

cnf(s3127,plain,
    ( ~ spl2_58
    | spl2_292
    | ~ spl2_362
    | ~ spl2_435 ),
    inference(sat_conversion,[],[f32998]) ).

cnf(s3136,plain,
    ( ~ spl2_115
    | spl2_247
    | spl2_608 ),
    inference(sat_conversion,[],[f33015]) ).

cnf(s3143,plain,
    ( ~ spl2_26
    | ~ spl2_73
    | spl2_76
    | spl2_216 ),
    inference(sat_conversion,[],[f33027]) ).

cnf(s3150,plain,
    ( ~ spl2_68
    | ~ spl2_132
    | spl2_505 ),
    inference(sat_conversion,[],[f33061]) ).

cnf(s3166,plain,
    ( spl2_253
    | spl2_289
    | ~ spl2_573 ),
    inference(sat_conversion,[],[f33202]) ).

cnf(s3172,plain,
    ( ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_402
    | spl2_412 ),
    inference(sat_conversion,[],[f33235]) ).

cnf(s3182,plain,
    ( spl2_245
    | spl2_269
    | spl2_300 ),
    inference(sat_conversion,[],[f33310]) ).

cnf(s3197,plain,
    ( ~ spl2_75
    | ~ spl2_106
    | spl2_276 ),
    inference(sat_conversion,[],[f33503]) ).

cnf(s3217,plain,
    ( spl2_248
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(sat_conversion,[],[f33640]) ).

cnf(s3219,plain,
    ( spl2_74
    | spl2_248
    | ~ spl2_313
    | ~ spl2_494 ),
    inference(sat_conversion,[],[f33644]) ).

cnf(s3221,plain,
    ( ~ spl2_67
    | ~ spl2_295
    | ~ spl2_510 ),
    inference(sat_conversion,[],[f33665]) ).

cnf(s3224,plain,
    ( ~ spl2_68
    | ~ spl2_116
    | ~ spl2_574 ),
    inference(sat_conversion,[],[f33670]) ).

cnf(s3229,plain,
    ( spl2_198
    | ~ spl2_273
    | ~ spl2_511 ),
    inference(sat_conversion,[],[f33677]) ).

cnf(s3240,plain,
    ( ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_116
    | spl2_555 ),
    inference(sat_conversion,[],[f33709]) ).

cnf(s3241,plain,
    ( spl2_24
    | spl2_609 ),
    inference(sat_conversion,[],[f33713]) ).

cnf(s3243,plain,
    ( ~ spl2_4
    | spl2_24
    | ~ spl2_67
    | ~ spl2_73
    | spl2_611 ),
    inference(sat_conversion,[],[f33722]) ).

cnf(s3247,plain,
    ( spl2_24
    | spl2_49 ),
    inference(sat_conversion,[],[f33732]) ).

cnf(s3263,plain,
    ( ~ spl2_4
    | ~ spl2_49
    | ~ spl2_67
    | ~ spl2_73
    | spl2_104 ),
    inference(sat_conversion,[],[f33786]) ).

cnf(s3271,plain,
    ( ~ spl2_19
    | ~ spl2_49
    | ~ spl2_456 ),
    inference(sat_conversion,[],[f33861]) ).

cnf(s3275,plain,
    ( ~ spl2_6
    | spl2_547 ),
    inference(sat_conversion,[],[f33877]) ).

cnf(s3276,plain,
    ( ~ spl2_104
    | spl2_611 ),
    inference(sat_conversion,[],[f33888]) ).

cnf(s3289,plain,
    ( ~ spl2_4
    | spl2_23
    | ~ spl2_389
    | spl2_400 ),
    inference(sat_conversion,[],[f33976]) ).

cnf(s3302,plain,
    ( ~ spl2_4
    | ~ spl2_67
    | ~ spl2_73
    | ~ spl2_399
    | spl2_400 ),
    inference(sat_conversion,[],[f34074]) ).

cnf(s3303,plain,
    ( ~ spl2_6
    | ~ spl2_400
    | ~ spl2_422 ),
    inference(sat_conversion,[],[f34111]) ).

cnf(s3311,plain,
    ( ~ spl2_316
    | ~ spl2_399
    | ~ spl2_492 ),
    inference(sat_conversion,[],[f34271]) ).

cnf(s3321,plain,
    ( spl2_248
    | spl2_614 ),
    inference(sat_conversion,[],[f34364]) ).

cnf(s3322,plain,
    ( spl2_74
    | spl2_248
    | spl2_614 ),
    inference(sat_conversion,[],[f34367]) ).

cnf(s3332,plain,
    ( ~ spl2_273
    | spl2_456
    | ~ spl2_553 ),
    inference(sat_conversion,[],[f34572]) ).

cnf(s3336,plain,
    ( ~ spl2_278
    | spl2_288
    | ~ spl2_611 ),
    inference(sat_conversion,[],[f34641]) ).

cnf(s3342,plain,
    ( ~ spl2_38
    | spl2_396
    | ~ spl2_400
    | ~ spl2_473 ),
    inference(sat_conversion,[],[f34659]) ).

cnf(s3343,plain,
    ( ~ spl2_67
    | spl2_76
    | ~ spl2_611 ),
    inference(sat_conversion,[],[f34661]) ).

cnf(s3352,plain,
    ( ~ spl2_107
    | ~ spl2_196
    | ~ spl2_268 ),
    inference(sat_conversion,[],[f34677]) ).

cnf(s3358,plain,
    ( spl2_255
    | ~ spl2_263
    | ~ spl2_473
    | spl2_477 ),
    inference(sat_conversion,[],[f34688]) ).

cnf(s3362,plain,
    ( ~ spl2_63
    | ~ spl2_115
    | ~ spl2_289
    | ~ spl2_435 ),
    inference(sat_conversion,[],[f34694]) ).

cnf(s3364,plain,
    ( ~ spl2_63
    | ~ spl2_82
    | spl2_248
    | ~ spl2_601 ),
    inference(sat_conversion,[],[f34697]) ).

cnf(s3365,plain,
    ( spl2_247
    | ~ spl2_315
    | ~ spl2_473
    | spl2_477 ),
    inference(sat_conversion,[],[f34699]) ).

cnf(s3389,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_288
    | ~ spl2_601 ),
    inference(sat_conversion,[],[f34864]) ).

cnf(s3395,plain,
    ( ~ spl2_265
    | spl2_276
    | ~ spl2_597 ),
    inference(sat_conversion,[],[f34992]) ).

cnf(s3396,plain,
    ( ~ spl2_284
    | spl2_456
    | ~ spl2_597 ),
    inference(sat_conversion,[],[f34993]) ).

cnf(s3397,plain,
    ( spl2_104
    | ~ spl2_286
    | ~ spl2_597 ),
    inference(sat_conversion,[],[f34994]) ).

cnf(s3398,plain,
    ( ~ spl2_16
    | ~ spl2_24
    | ~ spl2_288
    | ~ spl2_608 ),
    inference(sat_conversion,[],[f35010]) ).

cnf(s3404,plain,
    ( ~ spl2_24
    | ~ spl2_76
    | ~ spl2_115
    | ~ spl2_288
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f35022]) ).

cnf(s3422,plain,
    ( ~ spl2_263
    | ~ spl2_315
    | ~ spl2_461 ),
    inference(sat_conversion,[],[f35180]) ).

cnf(s3423,plain,
    ( spl2_255
    | ~ spl2_321
    | ~ spl2_461 ),
    inference(sat_conversion,[],[f35181]) ).

cnf(s3425,plain,
    ( spl2_196
    | ~ spl2_286
    | ~ spl2_548 ),
    inference(sat_conversion,[],[f35214]) ).

cnf(s3426,plain,
    ( spl2_198
    | ~ spl2_284
    | ~ spl2_548 ),
    inference(sat_conversion,[],[f35215]) ).

cnf(s3427,plain,
    ( ~ spl2_4
    | ~ spl2_49
    | spl2_610 ),
    inference(sat_conversion,[],[f35230]) ).

cnf(s3431,plain,
    ( ~ spl2_347
    | spl2_395
    | ~ spl2_423 ),
    inference(sat_conversion,[],[f35254]) ).

cnf(s3432,plain,
    ( ~ spl2_321
    | spl2_389
    | ~ spl2_423 ),
    inference(sat_conversion,[],[f35255]) ).

cnf(s3437,plain,
    ( ~ spl2_4
    | spl2_103
    | ~ spl2_292
    | ~ spl2_341 ),
    inference(sat_conversion,[],[f35523]) ).

cnf(s3439,plain,
    ( ~ spl2_265
    | ~ spl2_273
    | ~ spl2_284
    | spl2_548 ),
    inference(sat_conversion,[],[f35566]) ).

cnf(s3441,plain,
    ( ~ spl2_21
    | ~ spl2_82
    | ~ spl2_114
    | ~ spl2_115
    | spl2_349 ),
    inference(sat_conversion,[],[f35776]) ).

cnf(s3445,plain,
    ( ~ spl2_73
    | ~ spl2_273
    | ~ spl2_349
    | spl2_511 ),
    inference(sat_conversion,[],[f35818]) ).

cnf(s3446,plain,
    ( ~ spl2_8
    | ~ spl2_21
    | ~ spl2_115
    | ~ spl2_617 ),
    inference(sat_conversion,[],[f35882]) ).

cnf(s3447,plain,
    ( ~ spl2_115
    | ~ spl2_263
    | spl2_265
    | ~ spl2_289
    | ~ spl2_315
    | spl2_348 ),
    inference(sat_conversion,[],[f35885]) ).

cnf(s3451,plain,
    ( spl2_198
    | ~ spl2_399
    | ~ spl2_575 ),
    inference(sat_conversion,[],[f35892]) ).

cnf(s3452,plain,
    ( ~ spl2_196
    | ~ spl2_285
    | ~ spl2_286 ),
    inference(sat_conversion,[],[f35893]) ).

cnf(s3453,plain,
    ( spl2_73
    | ~ spl2_524
    | spl2_620 ),
    inference(sat_conversion,[],[f35897]) ).

cnf(s3457,plain,
    ( ~ spl2_63
    | ~ spl2_115
    | ~ spl2_391
    | ~ spl2_400 ),
    inference(sat_conversion,[],[f35903]) ).

cnf(s3463,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_273
    | ~ spl2_278
    | spl2_555 ),
    inference(sat_conversion,[],[f35979]) ).

cnf(s3494,plain,
    ( ~ spl2_73
    | spl2_132
    | ~ spl2_248
    | ~ spl2_273 ),
    inference(sat_conversion,[],[f36474]) ).

cnf(s3497,plain,
    ( ~ spl2_89
    | spl2_295
    | ~ spl2_579 ),
    inference(sat_conversion,[],[f36478]) ).

cnf(s3503,plain,
    ( ~ spl2_115
    | spl2_116
    | ~ spl2_321
    | spl2_322 ),
    inference(sat_conversion,[],[f36487]) ).

cnf(s3514,plain,
    ( ~ spl2_26
    | ~ spl2_39
    | spl2_595
    | ~ spl2_610 ),
    inference(sat_conversion,[],[f36515]) ).

cnf(s3517,plain,
    ( ~ spl2_273
    | ~ spl2_314
    | ~ spl2_399
    | spl2_575 ),
    inference(sat_conversion,[],[f36518]) ).

cnf(s3520,plain,
    ( ~ spl2_21
    | ~ spl2_82
    | ~ spl2_115
    | ~ spl2_618 ),
    inference(sat_conversion,[],[f36528]) ).

cnf(s3534,plain,
    ( ~ spl2_8
    | ~ spl2_89
    | ~ spl2_115
    | spl2_278
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f36546]) ).

cnf(s3535,plain,
    ( ~ spl2_111
    | ~ spl2_288
    | ~ spl2_347
    | ~ spl2_620 ),
    inference(sat_conversion,[],[f36548]) ).

cnf(s3537,plain,
    ( ~ spl2_86
    | ~ spl2_395
    | ~ spl2_396
    | spl2_542 ),
    inference(sat_conversion,[],[f36550]) ).

cnf(s3540,plain,
    ( ~ spl2_16
    | ~ spl2_89
    | spl2_278
    | ~ spl2_618 ),
    inference(sat_conversion,[],[f36559]) ).

cnf(s3543,plain,
    ( ~ spl2_58
    | spl2_67
    | spl2_247
    | spl2_278
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f36563]) ).

cnf(s3551,plain,
    ( ~ spl2_4
    | spl2_23
    | spl2_24
    | ~ spl2_26 ),
    inference(sat_conversion,[],[f36603]) ).

cnf(s3571,plain,
    ( ~ spl2_43
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(sat_conversion,[],[f36771]) ).

cnf(s3582,plain,
    ( ~ spl2_4
    | spl2_23
    | ~ spl2_284
    | spl2_289 ),
    inference(sat_conversion,[],[f36849]) ).

cnf(s3596,plain,
    ( ~ spl2_23
    | ~ spl2_255
    | ~ spl2_284 ),
    inference(sat_conversion,[],[f36928]) ).

cnf(s3601,plain,
    ( ~ spl2_19
    | ~ spl2_116
    | ~ spl2_196 ),
    inference(sat_conversion,[],[f36975]) ).

cnf(s3659,plain,
    ( ~ spl2_261
    | spl2_510
    | ~ spl2_553 ),
    inference(sat_conversion,[],[f37593]) ).

cnf(s3660,plain,
    ( spl2_104
    | ~ spl2_268
    | ~ spl2_553 ),
    inference(sat_conversion,[],[f37594]) ).

cnf(s3661,plain,
    ( ~ spl2_247
    | ~ spl2_553
    | spl2_555 ),
    inference(sat_conversion,[],[f37595]) ).

cnf(s3669,plain,
    ( ~ spl2_4
    | ~ spl2_68
    | ~ spl2_73
    | spl2_103
    | ~ spl2_116 ),
    inference(sat_conversion,[],[f37673]) ).

cnf(s3687,plain,
    ( spl2_4
    | spl2_19
    | ~ spl2_576 ),
    inference(sat_conversion,[],[f37712]) ).

cnf(s3695,plain,
    ( ~ spl2_14
    | ~ spl2_16
    | spl2_67
    | ~ spl2_620 ),
    inference(sat_conversion,[],[f37727]) ).

cnf(s3714,plain,
    ( spl2_72
    | ~ spl2_269
    | ~ spl2_294
    | spl2_295
    | ~ spl2_620 ),
    inference(sat_conversion,[],[f37942]) ).

cnf(s3715,plain,
    ( ~ spl2_86
    | ~ spl2_254
    | spl2_269
    | spl2_340 ),
    inference(sat_conversion,[],[f37943]) ).

cnf(s3716,plain,
    ( ~ spl2_14
    | spl2_284
    | ~ spl2_579 ),
    inference(sat_conversion,[],[f37944]) ).

cnf(s3748,plain,
    ( ~ spl2_68
    | spl2_419
    | ~ spl2_594 ),
    inference(sat_conversion,[],[f38376]) ).

cnf(s3750,plain,
    ( ~ spl2_58
    | spl2_247
    | ~ spl2_346 ),
    inference(sat_conversion,[],[f38380]) ).

cnf(s3767,plain,
    ( spl2_255
    | ~ spl2_266
    | ~ spl2_321
    | spl2_322 ),
    inference(sat_conversion,[],[f38417]) ).

cnf(s3770,plain,
    ( ~ spl2_116
    | ~ spl2_117
    | spl2_419 ),
    inference(sat_conversion,[],[f38455]) ).

cnf(s3771,plain,
    ( spl2_43
    | ~ spl2_49
    | ~ spl2_117 ),
    inference(sat_conversion,[],[f38456]) ).

cnf(s3774,plain,
    ( ~ spl2_14
    | spl2_399
    | ~ spl2_477 ),
    inference(sat_conversion,[],[f38465]) ).

cnf(s3775,plain,
    ( spl2_72
    | spl2_254
    | spl2_295
    | spl2_599 ),
    inference(sat_conversion,[],[f38466]) ).

cnf(s3782,plain,
    ( ~ spl2_89
    | spl2_395
    | ~ spl2_477 ),
    inference(sat_conversion,[],[f38480]) ).

cnf(s3789,plain,
    ( spl2_48
    | ~ spl2_49
    | spl2_82
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f38491]) ).

cnf(s3855,plain,
    ( spl2_44
    | ~ spl2_46
    | spl2_76
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f38708]) ).

cnf(s3859,plain,
    ( spl2_4
    | ~ spl2_115
    | spl2_116
    | spl2_278
    | ~ spl2_321 ),
    inference(sat_conversion,[],[f38715]) ).

cnf(s3865,plain,
    ( ~ spl2_58
    | spl2_67
    | spl2_389
    | spl2_393
    | ~ spl2_437 ),
    inference(sat_conversion,[],[f38723]) ).

cnf(s3878,plain,
    ~ spl2_72,
    inference(sat_conversion,[],[f38800]) ).

cnf(s3879,plain,
    ( ~ spl2_58
    | spl2_72
    | spl2_78
    | spl2_317 ),
    inference(sat_conversion,[],[f38815]) ).

cnf(s3880,plain,
    ( spl2_72
    | spl2_315
    | spl2_316 ),
    inference(sat_conversion,[],[f38816]) ).

cnf(s3881,plain,
    ( spl2_72
    | spl2_313
    | spl2_314 ),
    inference(sat_conversion,[],[f38817]) ).

cnf(s3885,plain,
    ( ~ spl2_24
    | spl2_637 ),
    inference(sat_conversion,[],[f38864]) ).

cnf(s3891,plain,
    ( ~ spl2_19
    | ~ spl2_39
    | ~ spl2_419 ),
    inference(sat_conversion,[],[f38920]) ).

cnf(s3900,plain,
    ( spl2_19
    | ~ spl2_60
    | ~ spl2_500 ),
    inference(sat_conversion,[],[f39042]) ).

cnf(s3902,plain,
    ( ~ spl2_16
    | spl2_27
    | spl2_49
    | ~ spl2_60
    | ~ spl2_126 ),
    inference(sat_conversion,[],[f39048]) ).

cnf(s3907,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_595
    | ~ spl2_601 ),
    inference(sat_conversion,[],[f39103]) ).

cnf(s3918,plain,
    ( spl2_48
    | ~ spl2_49
    | ~ spl2_78
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f39174]) ).

cnf(s3968,plain,
    ( ~ spl2_137
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f39750]) ).

cnf(s3969,plain,
    ( ~ spl2_185
    | ~ spl2_254
    | ~ spl2_295 ),
    inference(sat_conversion,[],[f39753]) ).

cnf(s3970,plain,
    ( ~ spl2_73
    | ~ spl2_78
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f39755]) ).

cnf(s3971,plain,
    ( ~ spl2_46
    | ~ spl2_48
    | spl2_121 ),
    inference(sat_conversion,[],[f39807]) ).

cnf(s3972,plain,
    ( ~ spl2_48
    | ~ spl2_106
    | spl2_589 ),
    inference(sat_conversion,[],[f39808]) ).

cnf(s3973,plain,
    ( ~ spl2_48
    | ~ spl2_463
    | spl2_478 ),
    inference(sat_conversion,[],[f39809]) ).

cnf(s3990,plain,
    ( ~ spl2_315
    | ~ spl2_362
    | spl2_393
    | spl2_423 ),
    inference(sat_conversion,[],[f39985]) ).

cnf(s3992,plain,
    ( ~ spl2_315
    | ~ spl2_346
    | spl2_392 ),
    inference(sat_conversion,[],[f39996]) ).

cnf(s4001,plain,
    ( ~ spl2_68
    | ~ spl2_175
    | spl2_540 ),
    inference(sat_conversion,[],[f40152]) ).

cnf(s4002,plain,
    ( ~ spl2_86
    | ~ spl2_175
    | spl2_179 ),
    inference(sat_conversion,[],[f40153]) ).

cnf(s4006,plain,
    ( ~ spl2_109
    | ~ spl2_116
    | spl2_648 ),
    inference(sat_conversion,[],[f40242]) ).

cnf(s4007,plain,
    ( ~ spl2_73
    | spl2_103
    | ~ spl2_648 ),
    inference(sat_conversion,[],[f40255]) ).

cnf(s4008,plain,
    ( spl2_23
    | ~ spl2_109
    | ~ spl2_116 ),
    inference(sat_conversion,[],[f40295]) ).

cnf(s4009,plain,
    ( ~ spl2_78
    | ~ spl2_109
    | spl2_598 ),
    inference(sat_conversion,[],[f40296]) ).

cnf(s4012,plain,
    ( ~ spl2_4
    | ~ spl2_117
    | spl2_572 ),
    inference(sat_conversion,[],[f40307]) ).

cnf(s4019,plain,
    ( ~ spl2_4
    | ~ spl2_73
    | ~ spl2_103 ),
    inference(sat_conversion,[],[f40311]) ).

cnf(s4021,plain,
    ( spl2_152
    | ~ spl2_268
    | ~ spl2_645 ),
    inference(sat_conversion,[],[f40370]) ).

cnf(s4025,plain,
    ( ~ spl2_46
    | ~ spl2_106
    | spl2_288
    | spl2_645 ),
    inference(sat_conversion,[],[f40376]) ).

cnf(s4026,plain,
    ( ~ spl2_399
    | spl2_467
    | ~ spl2_490 ),
    inference(sat_conversion,[],[f40443]) ).

cnf(s4027,plain,
    ( ~ spl2_395
    | ~ spl2_490
    | spl2_574 ),
    inference(sat_conversion,[],[f40444]) ).

cnf(s4033,plain,
    ( ~ spl2_79
    | ~ spl2_106
    | ~ spl2_268 ),
    inference(sat_conversion,[],[f40513]) ).

cnf(s4040,plain,
    ( ~ spl2_395
    | ~ spl2_399
    | spl2_478
    | ~ spl2_635 ),
    inference(sat_conversion,[],[f40623]) ).

cnf(s4042,plain,
    ( ~ spl2_78
    | ~ spl2_284
    | ~ spl2_295
    | ~ spl2_635 ),
    inference(sat_conversion,[],[f40648]) ).

cnf(s4046,plain,
    ( ~ spl2_76
    | spl2_295
    | ~ spl2_386 ),
    inference(sat_conversion,[],[f40656]) ).

cnf(s4050,plain,
    ( spl2_72
    | spl2_295
    | spl2_384 ),
    inference(sat_conversion,[],[f40687]) ).

cnf(s4055,plain,
    ( ~ spl2_116
    | ~ spl2_389
    | ~ spl2_478 ),
    inference(sat_conversion,[],[f40770]) ).

cnf(s4056,plain,
    ( ~ spl2_78
    | ~ spl2_395
    | ~ spl2_478 ),
    inference(sat_conversion,[],[f40772]) ).

cnf(s4066,plain,
    ( ~ spl2_259
    | ~ spl2_269
    | ~ spl2_496 ),
    inference(sat_conversion,[],[f40906]) ).

cnf(s4075,plain,
    ( spl2_37
    | ~ spl2_68
    | ~ spl2_626 ),
    inference(sat_conversion,[],[f41083]) ).

cnf(s4078,plain,
    ( spl2_37
    | ~ spl2_247
    | ~ spl2_627 ),
    inference(sat_conversion,[],[f41153]) ).

cnf(s4082,plain,
    ( ~ spl2_260
    | ~ spl2_370
    | ~ spl2_399
    | spl2_478 ),
    inference(sat_conversion,[],[f41179]) ).

cnf(s4087,plain,
    ( ~ spl2_86
    | ~ spl2_254
    | spl2_269
    | spl2_340 ),
    inference(sat_conversion,[],[f41189]) ).

cnf(s4088,plain,
    ( ~ spl2_117
    | ~ spl2_264
    | ~ spl2_292
    | spl2_400 ),
    inference(sat_conversion,[],[f41190]) ).

cnf(s4096,plain,
    ( ~ spl2_73
    | ~ spl2_204
    | spl2_253
    | ~ spl2_292
    | ~ spl2_419
    | ~ spl2_594 ),
    inference(sat_conversion,[],[f41233]) ).

cnf(s4097,plain,
    ( ~ spl2_58
    | ~ spl2_89
    | spl2_278
    | ~ spl2_520 ),
    inference(sat_conversion,[],[f41234]) ).

cnf(s4098,plain,
    ( ~ spl2_68
    | ~ spl2_73
    | ~ spl2_116
    | spl2_594 ),
    inference(sat_conversion,[],[f41235]) ).

cnf(s4102,plain,
    ( ~ spl2_39
    | ~ spl2_68
    | ~ spl2_86
    | spl2_594 ),
    inference(sat_conversion,[],[f41244]) ).

cnf(s4106,plain,
    ( ~ spl2_204
    | spl2_245
    | spl2_247
    | spl2_273 ),
    inference(sat_conversion,[],[f41250]) ).

cnf(s4114,plain,
    ( ~ spl2_204
    | spl2_253
    | spl2_255
    | spl2_284 ),
    inference(sat_conversion,[],[f41301]) ).

cnf(s4119,plain,
    ( ~ spl2_14
    | ~ spl2_58
    | spl2_72
    | spl2_73
    | spl2_638 ),
    inference(sat_conversion,[],[f41310]) ).

cnf(s4121,plain,
    ( ~ spl2_21
    | spl2_40
    | ~ spl2_637 ),
    inference(sat_conversion,[],[f41315]) ).

cnf(s4124,plain,
    ( spl2_4
    | spl2_73
    | ~ spl2_500 ),
    inference(sat_conversion,[],[f41321]) ).

cnf(s4125,plain,
    ( ~ spl2_63
    | spl2_399
    | ~ spl2_494 ),
    inference(sat_conversion,[],[f41322]) ).

cnf(s4133,plain,
    ( spl2_72
    | spl2_106
    | spl2_288 ),
    inference(sat_conversion,[],[f41331]) ).

cnf(s4141,plain,
    ( spl2_15
    | ~ spl2_16
    | spl2_389
    | ~ spl2_411 ),
    inference(sat_conversion,[],[f41343]) ).

cnf(s4196,plain,
    ( ~ spl2_19
    | ~ spl2_268
    | ~ spl2_276 ),
    inference(sat_conversion,[],[f41765]) ).

cnf(s4199,plain,
    ( spl2_288
    | ~ spl2_314
    | ~ spl2_396
    | spl2_415 ),
    inference(sat_conversion,[],[f41772]) ).

cnf(s4202,plain,
    ( ~ spl2_8
    | ~ spl2_64
    | spl2_68 ),
    inference(sat_conversion,[],[f41777]) ).

cnf(s4218,plain,
    ( ~ spl2_21
    | ~ spl2_111
    | spl2_112
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f41899]) ).

cnf(s4222,plain,
    ( spl2_26
    | ~ spl2_111
    | spl2_112
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f41909]) ).

cnf(s4244,plain,
    ( ~ spl2_112
    | ~ spl2_262
    | ~ spl2_289 ),
    inference(sat_conversion,[],[f42150]) ).

cnf(s4257,plain,
    ( ~ spl2_105
    | ~ spl2_248
    | spl2_589 ),
    inference(sat_conversion,[],[f42294]) ).

cnf(s4264,plain,
    ( ~ spl2_7
    | spl2_68
    | spl2_73 ),
    inference(sat_conversion,[],[f42378]) ).

cnf(s4265,plain,
    ( ~ spl2_7
    | spl2_26
    | spl2_39 ),
    inference(sat_conversion,[],[f42382]) ).

cnf(s4266,plain,
    ( ~ spl2_7
    | spl2_247
    | spl2_273 ),
    inference(sat_conversion,[],[f42385]) ).

cnf(s4269,plain,
    ( ~ spl2_7
    | spl2_39
    | ~ spl2_48
    | spl2_467 ),
    inference(sat_conversion,[],[f42389]) ).

cnf(s4272,plain,
    ( ~ spl2_259
    | ~ spl2_343
    | ~ spl2_477 ),
    inference(sat_conversion,[],[f42443]) ).

cnf(s4279,plain,
    ( ~ spl2_259
    | spl2_292
    | ~ spl2_297
    | spl2_389
    | spl2_393 ),
    inference(sat_conversion,[],[f42461]) ).

cnf(s4285,plain,
    ( ~ spl2_49
    | ~ spl2_396
    | ~ spl2_478 ),
    inference(sat_conversion,[],[f42520]) ).

cnf(s4290,plain,
    ( ~ spl2_263
    | ~ spl2_422
    | ~ spl2_579 ),
    inference(sat_conversion,[],[f42578]) ).

cnf(s4299,plain,
    ( spl2_255
    | ~ spl2_263
    | spl2_292
    | spl2_393
    | ~ spl2_473 ),
    inference(sat_conversion,[],[f42600]) ).

cnf(s4300,plain,
    ( ~ spl2_349
    | spl2_574
    | ~ spl2_577 ),
    inference(sat_conversion,[],[f42639]) ).

cnf(s4301,plain,
    ( ~ spl2_316
    | spl2_478
    | ~ spl2_577 ),
    inference(sat_conversion,[],[f42641]) ).

cnf(s4310,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_25
    | spl2_555 ),
    inference(sat_conversion,[],[f42843]) ).

cnf(s4311,plain,
    ( ~ spl2_25
    | ~ spl2_284
    | ~ spl2_286
    | spl2_510 ),
    inference(sat_conversion,[],[f42844]) ).

cnf(s4312,plain,
    ( ~ spl2_25
    | ~ spl2_396
    | ~ spl2_399
    | spl2_412 ),
    inference(sat_conversion,[],[f42845]) ).

cnf(s4317,plain,
    ( ~ spl2_297
    | spl2_389
    | ~ spl2_650 ),
    inference(sat_conversion,[],[f42957]) ).

cnf(s4321,plain,
    ( ~ spl2_4
    | ~ spl2_67
    | spl2_104
    | ~ spl2_157 ),
    inference(sat_conversion,[],[f43108]) ).

cnf(s4322,plain,
    ( ~ spl2_86
    | ~ spl2_284
    | ~ spl2_286
    | ~ spl2_626 ),
    inference(sat_conversion,[],[f43143]) ).

cnf(s4323,plain,
    ( ~ spl2_86
    | ~ spl2_396
    | ~ spl2_399
    | ~ spl2_626 ),
    inference(sat_conversion,[],[f43145]) ).

cnf(s4324,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_86
    | ~ spl2_626 ),
    inference(sat_conversion,[],[f43147]) ).

cnf(s4326,plain,
    ( ~ spl2_268
    | ~ spl2_396
    | ~ spl2_399
    | ~ spl2_627 ),
    inference(sat_conversion,[],[f43186]) ).

cnf(s4327,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_268
    | ~ spl2_627 ),
    inference(sat_conversion,[],[f43188]) ).

cnf(s4328,plain,
    ( ~ spl2_265
    | ~ spl2_284
    | ~ spl2_485
    | spl2_622 ),
    inference(sat_conversion,[],[f43220]) ).

cnf(s4330,plain,
    ( ~ spl2_349
    | ~ spl2_536
    | spl2_598 ),
    inference(sat_conversion,[],[f43310]) ).

cnf(s4332,plain,
    ( ~ spl2_264
    | ~ spl2_284
    | ~ spl2_402
    | ~ spl2_409 ),
    inference(sat_conversion,[],[f43366]) ).

cnf(s4341,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(sat_conversion,[],[f43461]) ).

cnf(s4342,plain,
    ( ~ spl2_286
    | ~ spl2_396
    | ~ spl2_399
    | ~ spl2_613 ),
    inference(sat_conversion,[],[f43463]) ).

cnf(s4343,plain,
    ( ~ spl2_284
    | ~ spl2_286
    | ~ spl2_613 ),
    inference(sat_conversion,[],[f43465]) ).

cnf(s4345,plain,
    ( spl2_24
    | spl2_39
    | ~ spl2_127 ),
    inference(sat_conversion,[],[f43545]) ).

cnf(s4347,plain,
    ( ~ spl2_284
    | ~ spl2_532
    | spl2_598 ),
    inference(sat_conversion,[],[f43580]) ).

cnf(s4348,plain,
    ( ~ spl2_295
    | ~ spl2_532
    | spl2_598 ),
    inference(sat_conversion,[],[f43581]) ).

cnf(s4352,plain,
    ( ~ spl2_248
    | ~ spl2_260
    | ~ spl2_314
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(sat_conversion,[],[f43681]) ).

cnf(s4353,plain,
    ( ~ spl2_254
    | ~ spl2_260
    | ~ spl2_341
    | ~ spl2_399 ),
    inference(sat_conversion,[],[f43683]) ).

cnf(s4355,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_396
    | ~ spl2_612 ),
    inference(sat_conversion,[],[f43725]) ).

cnf(s4357,plain,
    ( ~ spl2_265
    | ~ spl2_271
    | ~ spl2_314
    | ~ spl2_399 ),
    inference(sat_conversion,[],[f43806]) ).

cnf(s4358,plain,
    ( ~ spl2_265
    | ~ spl2_271
    | ~ spl2_284 ),
    inference(sat_conversion,[],[f43808]) ).

cnf(s4359,plain,
    ( ~ spl2_260
    | ~ spl2_261
    | ~ spl2_290
    | ~ spl2_399 ),
    inference(sat_conversion,[],[f43846]) ).

cnf(s4360,plain,
    ( ~ spl2_260
    | ~ spl2_268
    | ~ spl2_290
    | ~ spl2_396
    | ~ spl2_399 ),
    inference(sat_conversion,[],[f43848]) ).

cnf(s4361,plain,
    ( ~ spl2_260
    | ~ spl2_290
    | ~ spl2_349
    | ~ spl2_395
    | ~ spl2_399 ),
    inference(sat_conversion,[],[f43850]) ).

cnf(s4362,plain,
    ( ~ spl2_399
    | ~ spl2_534
    | spl2_598 ),
    inference(sat_conversion,[],[f43871]) ).

cnf(s4363,plain,
    ( ~ spl2_395
    | ~ spl2_534
    | spl2_598 ),
    inference(sat_conversion,[],[f43872]) ).

cnf(s4366,plain,
    ( ~ spl2_264
    | ~ spl2_284
    | ~ spl2_392
    | ~ spl2_541 ),
    inference(sat_conversion,[],[f43914]) ).

cnf(s4371,plain,
    ( ~ spl2_260
    | ~ spl2_284
    | ~ spl2_399
    | spl2_575 ),
    inference(sat_conversion,[],[f44018]) ).

cnf(s4376,plain,
    ( ~ spl2_67
    | spl2_104
    | ~ spl2_292
    | ~ spl2_323 ),
    inference(sat_conversion,[],[f44038]) ).

cnf(s4378,plain,
    ( ~ spl2_4
    | ~ spl2_116
    | ~ spl2_284
    | ~ spl2_292
    | spl2_555 ),
    inference(sat_conversion,[],[f44067]) ).

cnf(s4381,plain,
    ( ~ spl2_4
    | ~ spl2_284
    | ~ spl2_292
    | ~ spl2_402
    | spl2_412 ),
    inference(sat_conversion,[],[f44070]) ).

cnf(s4382,plain,
    ( ~ spl2_314
    | ~ spl2_399
    | ~ spl2_485
    | spl2_652 ),
    inference(sat_conversion,[],[f44074]) ).

cnf(s4384,plain,
    ( ~ spl2_63
    | ~ spl2_289
    | ~ spl2_400
    | ~ spl2_425 ),
    inference(sat_conversion,[],[f44127]) ).

cnf(s4385,plain,
    ( ~ spl2_58
    | ~ spl2_343
    | spl2_393
    | ~ spl2_425 ),
    inference(sat_conversion,[],[f44128]) ).

cnf(s4388,plain,
    ( ~ spl2_264
    | ~ spl2_284
    | ~ spl2_316
    | ~ spl2_462 ),
    inference(sat_conversion,[],[f44170]) ).

cnf(s4389,plain,
    ( ~ spl2_265
    | ~ spl2_284
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(sat_conversion,[],[f44205]) ).

cnf(s4391,plain,
    ( ~ spl2_254
    | ~ spl2_261
    | ~ spl2_342
    | ~ spl2_349 ),
    inference(sat_conversion,[],[f44290]) ).

cnf(s4396,plain,
    ( ~ spl2_265
    | ~ spl2_272
    | ~ spl2_314
    | ~ spl2_395 ),
    inference(sat_conversion,[],[f44400]) ).

cnf(s4397,plain,
    ( ~ spl2_265
    | ~ spl2_272
    | ~ spl2_295 ),
    inference(sat_conversion,[],[f44402]) ).

cnf(s4405,plain,
    ( ~ spl2_264
    | ~ spl2_284
    | ~ spl2_438 ),
    inference(sat_conversion,[],[f44478]) ).

cnf(s4413,plain,
    ( ~ spl2_107
    | ~ spl2_261
    | spl2_271 ),
    inference(sat_conversion,[],[f44583]) ).

cnf(s4429,plain,
    ( ~ spl2_266
    | ~ spl2_269
    | ~ spl2_297
    | ~ spl2_617 ),
    inference(sat_conversion,[],[f44737]) ).

cnf(s4431,plain,
    ( ~ spl2_266
    | ~ spl2_289
    | ~ spl2_297
    | ~ spl2_608 ),
    inference(sat_conversion,[],[f44739]) ).

cnf(s4438,plain,
    ( spl2_68
    | spl2_124
    | ~ spl2_531 ),
    inference(sat_conversion,[],[f44754]) ).

cnf(s4450,plain,
    ( ~ spl2_115
    | ~ spl2_313
    | ~ spl2_474 ),
    inference(sat_conversion,[],[f44936]) ).

cnf(s4461,plain,
    ( ~ spl2_260
    | ~ spl2_261
    | ~ spl2_273
    | ~ spl2_441 ),
    inference(sat_conversion,[],[f44950]) ).

cnf(s4462,plain,
    ( ~ spl2_96
    | spl2_152
    | ~ spl2_407
    | spl2_433 ),
    inference(sat_conversion,[],[f44951]) ).

cnf(s4480,plain,
    ( ~ spl2_19
    | ~ spl2_67
    | spl2_75
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f44980]) ).

cnf(s4482,plain,
    ( spl2_284
    | ~ spl2_289
    | spl2_658 ),
    inference(sat_conversion,[],[f44985]) ).

cnf(s4483,plain,
    ( ~ spl2_265
    | ~ spl2_286
    | spl2_287
    | spl2_288 ),
    inference(sat_conversion,[],[f44986]) ).

cnf(s4485,plain,
    ( spl2_286
    | ~ spl2_289
    | spl2_659 ),
    inference(sat_conversion,[],[f44991]) ).

cnf(s4494,plain,
    ( spl2_278
    | ~ spl2_313
    | ~ spl2_321
    | spl2_389
    | spl2_393 ),
    inference(sat_conversion,[],[f45002]) ).

cnf(s4496,plain,
    ( spl2_48
    | ~ spl2_49
    | spl2_115
    | ~ spl2_268 ),
    inference(sat_conversion,[],[f45005]) ).

cnf(s4497,plain,
    ( ~ spl2_58
    | ~ spl2_76
    | spl2_248
    | ~ spl2_617 ),
    inference(sat_conversion,[],[f45006]) ).

cnf(s4500,plain,
    ( ~ spl2_73
    | ~ spl2_254
    | ~ spl2_260
    | ~ spl2_441 ),
    inference(sat_conversion,[],[f45009]) ).

cnf(s4502,plain,
    ( ~ spl2_58
    | ~ spl2_76
    | spl2_254
    | spl2_255
    | ~ spl2_551 ),
    inference(sat_conversion,[],[f45011]) ).

cnf(s4523,plain,
    ( ~ spl2_4
    | ~ spl2_260
    | ~ spl2_292
    | ~ spl2_441 ),
    inference(sat_conversion,[],[f45155]) ).

cnf(s4525,plain,
    ( spl2_255
    | ~ spl2_551
    | spl2_660 ),
    inference(sat_conversion,[],[f45163]) ).

cnf(s4528,plain,
    ( ~ spl2_14
    | ~ spl2_57
    | spl2_73 ),
    inference(sat_conversion,[],[f45166]) ).

cnf(s4541,plain,
    ( ~ spl2_39
    | ~ spl2_255
    | ~ spl2_622 ),
    inference(sat_conversion,[],[f45218]) ).

cnf(s4584,plain,
    ( ~ spl2_284
    | ~ spl2_295
    | ~ spl2_598 ),
    inference(sat_conversion,[],[f45551]) ).

cnf(s4609,plain,
    ( ~ spl2_316
    | ~ spl2_402
    | ~ spl2_589 ),
    inference(sat_conversion,[],[f45889]) ).

cnf(s4622,plain,
    ( ~ spl2_39
    | ~ spl2_94
    | spl2_419 ),
    inference(sat_conversion,[],[f45907]) ).

cnf(s4623,plain,
    ( ~ spl2_207
    | spl2_286
    | ~ spl2_289
    | spl2_292 ),
    inference(sat_conversion,[],[f45909]) ).

cnf(s4624,plain,
    ( ~ spl2_86
    | ~ spl2_395
    | ~ spl2_396
    | spl2_542 ),
    inference(sat_conversion,[],[f45911]) ).

cnf(s4627,plain,
    ( ~ spl2_8
    | spl2_72
    | spl2_78
    | ~ spl2_89
    | spl2_500 ),
    inference(sat_conversion,[],[f45914]) ).

cnf(s4630,plain,
    ( spl2_76
    | ~ spl2_395
    | ~ spl2_396
    | spl2_417 ),
    inference(sat_conversion,[],[f45918]) ).

cnf(s4649,plain,
    ( ~ spl2_26
    | ~ spl2_94
    | ~ spl2_284
    | ~ spl2_292 ),
    inference(sat_conversion,[],[f46016]) ).

cnf(s4664,plain,
    ( ~ spl2_389
    | ~ spl2_393
    | ~ spl2_419 ),
    inference(sat_conversion,[],[f46181]) ).

cnf(s4691,plain,
    ( spl2_26
    | ~ spl2_111
    | spl2_112
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f46344]) ).

cnf(s4708,plain,
    ( ~ spl2_268
    | ~ spl2_314
    | ~ spl2_396
    | spl2_542 ),
    inference(sat_conversion,[],[f46576]) ).

cnf(s4712,plain,
    ( ~ spl2_4
    | ~ spl2_39
    | ~ spl2_73
    | ~ spl2_175 ),
    inference(sat_conversion,[],[f46691]) ).

cnf(s4722,plain,
    ( ~ spl2_265
    | ~ spl2_268
    | ~ spl2_286
    | spl2_377 ),
    inference(sat_conversion,[],[f46704]) ).

cnf(s4725,plain,
    ( ~ spl2_86
    | ~ spl2_286
    | ~ spl2_295
    | spl2_377 ),
    inference(sat_conversion,[],[f46707]) ).

cnf(s4728,plain,
    ( ~ spl2_19
    | ~ spl2_39
    | ~ spl2_179 ),
    inference(sat_conversion,[],[f46710]) ).

cnf(s4730,plain,
    ( ~ spl2_16
    | ~ spl2_24
    | ~ spl2_76
    | ~ spl2_124 ),
    inference(sat_conversion,[],[f46712]) ).

cnf(s4740,plain,
    ( spl2_19
    | spl2_39
    | ~ spl2_58
    | spl2_67
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f46749]) ).

cnf(s4770,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | spl2_456
    | ~ spl2_625 ),
    inference(sat_conversion,[],[f47384]) ).

cnf(s4776,plain,
    ( ~ spl2_4
    | spl2_23
    | ~ spl2_73
    | ~ spl2_78 ),
    inference(sat_conversion,[],[f47610]) ).

cnf(s4777,plain,
    ( ~ spl2_4
    | ~ spl2_78
    | ~ spl2_248
    | spl2_550 ),
    inference(sat_conversion,[],[f47613]) ).

cnf(s4780,plain,
    ( ~ spl2_16
    | ~ spl2_89
    | spl2_292
    | ~ spl2_655 ),
    inference(sat_conversion,[],[f47739]) ).

cnf(s4782,plain,
    ( ~ spl2_396
    | ~ spl2_430
    | spl2_661 ),
    inference(sat_conversion,[],[f47774]) ).

cnf(s4784,plain,
    ( ~ spl2_265
    | ~ spl2_268
    | ~ spl2_661 ),
    inference(sat_conversion,[],[f47795]) ).

cnf(s4785,plain,
    ( ~ spl2_86
    | ~ spl2_295
    | ~ spl2_661 ),
    inference(sat_conversion,[],[f47798]) ).

cnf(s4793,plain,
    ( ~ spl2_73
    | ~ spl2_254
    | ~ spl2_341 ),
    inference(sat_conversion,[],[f47902]) ).

cnf(s4796,plain,
    ( ~ spl2_73
    | ~ spl2_248
    | ~ spl2_265
    | ~ spl2_271 ),
    inference(sat_conversion,[],[f47957]) ).

cnf(s4799,plain,
    ( ~ spl2_73
    | ~ spl2_254
    | ~ spl2_261
    | ~ spl2_290 ),
    inference(sat_conversion,[],[f48028]) ).

cnf(s4801,plain,
    ( ~ spl2_4
    | ~ spl2_278
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(sat_conversion,[],[f48067]) ).

cnf(s4802,plain,
    ( ~ spl2_73
    | ~ spl2_248
    | ~ spl2_314
    | ~ spl2_522 ),
    inference(sat_conversion,[],[f48069]) ).

cnf(s4804,plain,
    ( ~ spl2_261
    | ~ spl2_278
    | ~ spl2_295
    | spl2_653 ),
    inference(sat_conversion,[],[f48195]) ).

cnf(s4807,plain,
    ( ~ spl2_261
    | ~ spl2_265
    | ~ spl2_278
    | spl2_662 ),
    inference(sat_conversion,[],[f48201]) ).

cnf(s4817,plain,
    ( spl2_24
    | ~ spl2_116
    | ~ spl2_649 ),
    inference(sat_conversion,[],[f48424]) ).

cnf(s4818,plain,
    ( ~ spl2_19
    | spl2_104
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(sat_conversion,[],[f48464]) ).

cnf(s4819,plain,
    ( ~ spl2_113
    | ~ spl2_268
    | ~ spl2_314
    | ~ spl2_396
    | spl2_652 ),
    inference(sat_conversion,[],[f48465]) ).

cnf(s4820,plain,
    ( ~ spl2_113
    | ~ spl2_265
    | ~ spl2_268
    | ~ spl2_286
    | spl2_622 ),
    inference(sat_conversion,[],[f48466]) ).

cnf(s4821,plain,
    ( ~ spl2_265
    | ~ spl2_295
    | ~ spl2_349
    | spl2_376 ),
    inference(sat_conversion,[],[f48505]) ).

cnf(s4822,plain,
    ( ~ spl2_314
    | ~ spl2_349
    | ~ spl2_395
    | spl2_417 ),
    inference(sat_conversion,[],[f48506]) ).

cnf(s4823,plain,
    ( ~ spl2_78
    | spl2_105
    | spl2_115
    | ~ spl2_349 ),
    inference(sat_conversion,[],[f48507]) ).

cnf(s4827,plain,
    ( ~ spl2_78
    | spl2_105
    | spl2_245
    | spl2_278
    | ~ spl2_349
    | ~ spl2_547 ),
    inference(sat_conversion,[],[f48512]) ).

cnf(s4833,plain,
    ( ~ spl2_63
    | ~ spl2_82
    | spl2_254
    | ~ spl2_658 ),
    inference(sat_conversion,[],[f48520]) ).

cnf(s4834,plain,
    ( ~ spl2_21
    | ~ spl2_63
    | spl2_64
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f48522]) ).

cnf(s4835,plain,
    ( ~ spl2_273
    | ~ spl2_349
    | ~ spl2_598 ),
    inference(sat_conversion,[],[f48523]) ).

cnf(s4844,plain,
    ( ~ spl2_60
    | ~ spl2_82
    | ~ spl2_110
    | spl2_248 ),
    inference(sat_conversion,[],[f48534]) ).

cnf(s4845,plain,
    ( spl2_48
    | ~ spl2_49
    | spl2_253
    | ~ spl2_286
    | spl2_292
    | ~ spl2_547 ),
    inference(sat_conversion,[],[f48535]) ).

cnf(s4846,plain,
    ( spl2_48
    | ~ spl2_49
    | ~ spl2_396
    | spl2_400 ),
    inference(sat_conversion,[],[f48536]) ).

cnf(s4850,plain,
    ( spl2_48
    | ~ spl2_49
    | ~ spl2_286
    | spl2_289 ),
    inference(sat_conversion,[],[f48546]) ).

cnf(s4851,plain,
    ( spl2_48
    | ~ spl2_49
    | ~ spl2_285
    | ~ spl2_286 ),
    inference(sat_conversion,[],[f48548]) ).

cnf(s4852,plain,
    ( spl2_48
    | ~ spl2_49
    | spl2_245
    | ~ spl2_268
    | spl2_278
    | ~ spl2_547 ),
    inference(sat_conversion,[],[f48549]) ).

cnf(s4854,plain,
    ( spl2_86
    | ~ spl2_524
    | spl2_666 ),
    inference(sat_conversion,[],[f48554]) ).

cnf(s4855,plain,
    ( ~ spl2_60
    | ~ spl2_76
    | spl2_254
    | ~ spl2_656 ),
    inference(sat_conversion,[],[f48555]) ).

cnf(s4862,plain,
    ( ~ spl2_24
    | ~ spl2_76
    | ~ spl2_269
    | ~ spl2_654 ),
    inference(sat_conversion,[],[f48572]) ).

cnf(s4863,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_269
    | ~ spl2_658 ),
    inference(sat_conversion,[],[f48573]) ).

cnf(s4867,plain,
    ( ~ spl2_19
    | spl2_75
    | ~ spl2_393
    | ~ spl2_396 ),
    inference(sat_conversion,[],[f48578]) ).

cnf(s4868,plain,
    ( ~ spl2_21
    | spl2_39
    | spl2_86
    | ~ spl2_501 ),
    inference(sat_conversion,[],[f48582]) ).

cnf(s4886,plain,
    ( ~ spl2_60
    | ~ spl2_524
    | spl2_666 ),
    inference(sat_conversion,[],[f48748]) ).

cnf(s4921,plain,
    ( ~ spl2_295
    | ~ spl2_300
    | ~ spl2_395
    | ~ spl2_542 ),
    inference(sat_conversion,[],[f49029]) ).

cnf(s4922,plain,
    ( ~ spl2_58
    | ~ spl2_89
    | spl2_393
    | ~ spl2_570 ),
    inference(sat_conversion,[],[f49030]) ).

cnf(s4937,plain,
    ( ~ spl2_75
    | ~ spl2_300
    | spl2_510 ),
    inference(sat_conversion,[],[f49143]) ).

cnf(s4961,plain,
    ( ~ spl2_78
    | spl2_115
    | ~ spl2_116
    | ~ spl2_653 ),
    inference(sat_conversion,[],[f49442]) ).

cnf(s4979,plain,
    ( spl2_269
    | ~ spl2_292
    | ~ spl2_611 ),
    inference(sat_conversion,[],[f49495]) ).

cnf(s4981,plain,
    ( ~ spl2_393
    | spl2_433
    | ~ spl2_611 ),
    inference(sat_conversion,[],[f49506]) ).

cnf(s4983,plain,
    ( ~ spl2_21
    | ~ spl2_269
    | ~ spl2_294
    | spl2_428 ),
    inference(sat_conversion,[],[f49563]) ).

cnf(s4991,plain,
    ( ~ spl2_19
    | ~ spl2_396
    | spl2_433
    | spl2_649 ),
    inference(sat_conversion,[],[f49588]) ).

cnf(s5005,plain,
    ( ~ spl2_111
    | ~ spl2_262
    | ~ spl2_288
    | ~ spl2_657 ),
    inference(sat_conversion,[],[f49706]) ).

cnf(s5006,plain,
    ( ~ spl2_262
    | spl2_273
    | ~ spl2_294
    | spl2_428 ),
    inference(sat_conversion,[],[f49707]) ).

cnf(s5007,plain,
    ( ~ spl2_262
    | ~ spl2_288
    | ~ spl2_321
    | ~ spl2_660 ),
    inference(sat_conversion,[],[f49708]) ).

cnf(s5024,plain,
    ( ~ spl2_19
    | spl2_75
    | ~ spl2_268
    | ~ spl2_278 ),
    inference(sat_conversion,[],[f49734]) ).

cnf(s5027,plain,
    ( ~ spl2_33
    | ~ spl2_57
    | ~ spl2_60 ),
    inference(sat_conversion,[],[f49737]) ).

cnf(s5028,plain,
    ( spl2_19
    | ~ spl2_60
    | spl2_61
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f49738]) ).

cnf(s5029,plain,
    ( ~ spl2_67
    | spl2_77
    | ~ spl2_278
    | ~ spl2_349 ),
    inference(sat_conversion,[],[f49739]) ).

cnf(s5034,plain,
    ( spl2_26
    | ~ spl2_269
    | ~ spl2_294
    | spl2_428 ),
    inference(sat_conversion,[],[f49746]) ).

cnf(s5039,plain,
    ( ~ spl2_33
    | ~ spl2_57
    | ~ spl2_96
    | ~ spl2_179 ),
    inference(sat_conversion,[],[f49752]) ).

cnf(s5049,plain,
    ( ~ spl2_26
    | ~ spl2_49
    | ~ spl2_179 ),
    inference(sat_conversion,[],[f49786]) ).

cnf(s5063,plain,
    ( ~ spl2_265
    | ~ spl2_268
    | ~ spl2_286
    | spl2_377 ),
    inference(sat_conversion,[],[f50024]) ).

cnf(s5064,plain,
    ( ~ spl2_26
    | ~ spl2_48
    | spl2_467 ),
    inference(sat_conversion,[],[f50054]) ).

cnf(s5069,plain,
    ( ~ spl2_247
    | ~ spl2_351
    | spl2_559 ),
    inference(sat_conversion,[],[f50132]) ).

cnf(s5070,plain,
    ( spl2_27
    | ~ spl2_261
    | ~ spl2_351
    | spl2_614 ),
    inference(sat_conversion,[],[f50162]) ).

cnf(s5087,plain,
    ( ~ spl2_26
    | spl2_82
    | ~ spl2_295
    | ~ spl2_377 ),
    inference(sat_conversion,[],[f50460]) ).

cnf(s5094,plain,
    ( ~ spl2_16
    | ~ spl2_33
    | spl2_292
    | ~ spl2_656 ),
    inference(sat_conversion,[],[f50474]) ).

cnf(s5101,plain,
    ( ~ spl2_285
    | ~ spl2_292
    | ~ spl2_456 ),
    inference(sat_conversion,[],[f50539]) ).

cnf(s5153,plain,
    ( spl2_24
    | ~ spl2_300
    | spl2_613 ),
    inference(sat_conversion,[],[f51236]) ).

cnf(s5154,plain,
    ( spl2_24
    | ~ spl2_463
    | spl2_612 ),
    inference(sat_conversion,[],[f51237]) ).

cnf(s5157,plain,
    ( spl2_273
    | ~ spl2_315
    | spl2_474
    | ~ spl2_475 ),
    inference(sat_conversion,[],[f51241]) ).

cnf(s5177,plain,
    ( ~ spl2_349
    | ~ spl2_395
    | ~ spl2_402
    | ~ spl2_511 ),
    inference(sat_conversion,[],[f51416]) ).

cnf(s5178,plain,
    ( ~ spl2_67
    | ~ spl2_116
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(sat_conversion,[],[f51418]) ).

cnf(s5179,plain,
    ( ~ spl2_49
    | ~ spl2_96
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(sat_conversion,[],[f51420]) ).

cnf(s5180,plain,
    ( ~ spl2_49
    | spl2_76
    | ~ spl2_349
    | ~ spl2_511 ),
    inference(sat_conversion,[],[f51422]) ).

cnf(s5191,plain,
    ( ~ spl2_111
    | spl2_247
    | ~ spl2_501
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f51506]) ).

cnf(s5194,plain,
    ( ~ spl2_8
    | ~ spl2_112
    | spl2_247 ),
    inference(sat_conversion,[],[f51514]) ).

cnf(s5195,plain,
    ( spl2_389
    | ~ spl2_475
    | ~ spl2_501
    | ~ spl2_676 ),
    inference(sat_conversion,[],[f51515]) ).

cnf(s5215,plain,
    ( ~ spl2_314
    | ~ spl2_389
    | ~ spl2_662 ),
    inference(sat_conversion,[],[f51675]) ).

cnf(s5227,plain,
    ( ~ spl2_314
    | ~ spl2_389
    | ~ spl2_395
    | ~ spl2_653 ),
    inference(sat_conversion,[],[f51936]) ).

cnf(s5229,plain,
    ( ~ spl2_295
    | ~ spl2_488
    | spl2_574 ),
    inference(sat_conversion,[],[f51940]) ).

cnf(s5238,plain,
    ( spl2_68
    | spl2_72
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_295
    | ~ spl2_297
    | spl2_579 ),
    inference(sat_conversion,[],[f52179]) ).

cnf(s5239,plain,
    ( spl2_72
    | spl2_255
    | ~ spl2_261
    | ~ spl2_270
    | spl2_286
    | ~ spl2_295
    | ~ spl2_665 ),
    inference(sat_conversion,[],[f52181]) ).

cnf(s5240,plain,
    ( spl2_72
    | spl2_73
    | ~ spl2_261
    | ~ spl2_270
    | ~ spl2_294
    | ~ spl2_295
    | spl2_428 ),
    inference(sat_conversion,[],[f52184]) ).

cnf(s5248,plain,
    ( ~ spl2_38
    | spl2_286
    | ~ spl2_289
    | ~ spl2_297 ),
    inference(sat_conversion,[],[f52197]) ).

cnf(s5253,plain,
    ( ~ spl2_255
    | spl2_456
    | ~ spl2_488 ),
    inference(sat_conversion,[],[f52213]) ).

cnf(s5270,plain,
    ( spl2_245
    | ~ spl2_316
    | ~ spl2_395
    | ~ spl2_442
    | spl2_676 ),
    inference(sat_conversion,[],[f52640]) ).

cnf(s5273,plain,
    ( ~ spl2_313
    | ~ spl2_433
    | ~ spl2_473
    | ~ spl2_617 ),
    inference(sat_conversion,[],[f52643]) ).

cnf(s5274,plain,
    ( ~ spl2_63
    | ~ spl2_76
    | spl2_254
    | ~ spl2_657 ),
    inference(sat_conversion,[],[f52644]) ).

cnf(s5275,plain,
    ( ~ spl2_255
    | ~ spl2_376
    | spl2_559 ),
    inference(sat_conversion,[],[f52645]) ).

cnf(s5279,plain,
    ( ~ spl2_313
    | ~ spl2_400
    | ~ spl2_475
    | ~ spl2_601 ),
    inference(sat_conversion,[],[f52650]) ).

cnf(s5282,plain,
    ( ~ spl2_259
    | ~ spl2_400
    | ~ spl2_411
    | ~ spl2_659 ),
    inference(sat_conversion,[],[f52656]) ).

cnf(s5283,plain,
    ( ~ spl2_259
    | ~ spl2_294
    | spl2_399
    | spl2_428 ),
    inference(sat_conversion,[],[f52657]) ).

cnf(s5284,plain,
    ( ~ spl2_268
    | ~ spl2_273
    | spl2_589
    | ~ spl2_625 ),
    inference(sat_conversion,[],[f52658]) ).

cnf(s5285,plain,
    ( ~ spl2_38
    | ~ spl2_58
    | ~ spl2_60
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f52659]) ).

cnf(s5286,plain,
    ( ~ spl2_8
    | spl2_72
    | spl2_73
    | spl2_501 ),
    inference(sat_conversion,[],[f52661]) ).

cnf(s5288,plain,
    ( ~ spl2_313
    | ~ spl2_400
    | ~ spl2_473
    | ~ spl2_608 ),
    inference(sat_conversion,[],[f52663]) ).

cnf(s5289,plain,
    ( ~ spl2_63
    | ~ spl2_82
    | spl2_248
    | ~ spl2_601 ),
    inference(sat_conversion,[],[f52666]) ).

cnf(s5293,plain,
    ( ~ spl2_63
    | ~ spl2_76
    | spl2_248
    | ~ spl2_624 ),
    inference(sat_conversion,[],[f52673]) ).

cnf(s5296,plain,
    ( spl2_24
    | ~ spl2_106
    | spl2_627 ),
    inference(sat_conversion,[],[f52677]) ).

cnf(s5298,plain,
    ( ~ spl2_58
    | ~ spl2_76
    | ~ spl2_614
    | ~ spl2_617 ),
    inference(sat_conversion,[],[f52680]) ).

cnf(s5300,plain,
    ( ~ spl2_24
    | spl2_73
    | spl2_116
    | ~ spl2_665 ),
    inference(sat_conversion,[],[f52682]) ).

cnf(s5301,plain,
    ( ~ spl2_259
    | ~ spl2_433
    | ~ spl2_475
    | ~ spl2_657 ),
    inference(sat_conversion,[],[f52684]) ).

cnf(s5306,plain,
    ( ~ spl2_60
    | ~ spl2_82
    | spl2_254
    | ~ spl2_659 ),
    inference(sat_conversion,[],[f52695]) ).

cnf(s5334,plain,
    ( ~ spl2_86
    | spl2_175
    | ~ spl2_248
    | ~ spl2_268 ),
    inference(sat_conversion,[],[f52934]) ).

cnf(s5362,plain,
    ( ~ spl2_259
    | ~ spl2_400
    | ~ spl2_437
    | ~ spl2_654 ),
    inference(sat_conversion,[],[f53632]) ).

cnf(s5416,plain,
    ( ~ spl2_396
    | ~ spl2_434
    | spl2_622 ),
    inference(sat_conversion,[],[f54255]) ).

cnf(s5417,plain,
    ( ~ spl2_264
    | ~ spl2_463
    | ~ spl2_622 ),
    inference(sat_conversion,[],[f54289]) ).

cnf(s5418,plain,
    ( ~ spl2_26
    | ~ spl2_284
    | ~ spl2_622 ),
    inference(sat_conversion,[],[f54291]) ).

cnf(s5423,plain,
    ( ~ spl2_316
    | ~ spl2_463
    | ~ spl2_588 ),
    inference(sat_conversion,[],[f54391]) ).

cnf(s5426,plain,
    ( spl2_38
    | spl2_39
    | ~ spl2_637 ),
    inference(sat_conversion,[],[f54395]) ).

cnf(s5432,plain,
    ( ~ spl2_33
    | spl2_396
    | ~ spl2_477 ),
    inference(sat_conversion,[],[f54405]) ).

cnf(s5435,plain,
    ( ~ spl2_33
    | spl2_286
    | ~ spl2_579 ),
    inference(sat_conversion,[],[f54409]) ).

cnf(s5451,plain,
    ( ~ spl2_7
    | spl2_255
    | spl2_284 ),
    inference(sat_conversion,[],[f54493]) ).

cnf(s5473,plain,
    ( spl2_393
    | ~ spl2_433
    | ~ spl2_640 ),
    inference(sat_conversion,[],[f54686]) ).

cnf(s5480,plain,
    ( ~ spl2_19
    | ~ spl2_68
    | ~ spl2_181 ),
    inference(sat_conversion,[],[f54786]) ).

cnf(s5490,plain,
    ( ~ spl2_60
    | spl2_286
    | ~ spl2_383 ),
    inference(sat_conversion,[],[f54995]) ).

cnf(s5492,plain,
    ( ~ spl2_26
    | ~ spl2_39
    | spl2_288
    | ~ spl2_550 ),
    inference(sat_conversion,[],[f55036]) ).

cnf(s5494,plain,
    ( ~ spl2_4
    | ~ spl2_7
    | ~ spl2_19
    | spl2_127
    | ~ spl2_303 ),
    inference(sat_conversion,[],[f55092]) ).

cnf(s5495,plain,
    ( ~ spl2_19
    | spl2_37
    | ~ spl2_106
    | ~ spl2_273 ),
    inference(sat_conversion,[],[f55254]) ).

cnf(s5496,plain,
    ( ~ spl2_19
    | ~ spl2_106
    | ~ spl2_268
    | spl2_649 ),
    inference(sat_conversion,[],[f55256]) ).

cnf(s5501,plain,
    ( ~ spl2_524
    | ~ spl2_614
    | spl2_618 ),
    inference(sat_conversion,[],[f55290]) ).

cnf(s5505,plain,
    ( ~ spl2_4
    | ~ spl2_7
    | spl2_23
    | spl2_127 ),
    inference(sat_conversion,[],[f55453]) ).

cnf(s5508,plain,
    ( ~ spl2_26
    | spl2_216
    | ~ spl2_273
    | spl2_278
    | spl2_282
    | ~ spl2_499 ),
    inference(sat_conversion,[],[f55494]) ).

cnf(s5509,plain,
    ( ~ spl2_39
    | ~ spl2_216
    | spl2_505 ),
    inference(sat_conversion,[],[f55518]) ).

cnf(s5516,plain,
    ( ~ spl2_73
    | spl2_132
    | ~ spl2_254
    | ~ spl2_284 ),
    inference(sat_conversion,[],[f55701]) ).

cnf(s5517,plain,
    ( ~ spl2_115
    | spl2_255
    | ~ spl2_262
    | ~ spl2_289
    | ~ spl2_321 ),
    inference(sat_conversion,[],[f55754]) ).

cnf(s5520,plain,
    ( ~ spl2_68
    | ~ spl2_254
    | ~ spl2_292
    | spl2_340 ),
    inference(sat_conversion,[],[f56015]) ).

cnf(s5521,plain,
    ( ~ spl2_254
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(sat_conversion,[],[f56064]) ).

cnf(s5522,plain,
    ( ~ spl2_68
    | ~ spl2_295
    | ~ spl2_340 ),
    inference(sat_conversion,[],[f56069]) ).

cnf(s5540,plain,
    ( ~ spl2_273
    | spl2_288
    | ~ spl2_609
    | spl2_687 ),
    inference(sat_conversion,[],[f56251]) ).

cnf(s5541,plain,
    ( ~ spl2_268
    | spl2_288
    | ~ spl2_609
    | spl2_687 ),
    inference(sat_conversion,[],[f56252]) ).

cnf(s5542,plain,
    ( ~ spl2_260
    | ~ spl2_295
    | ~ spl2_395
    | spl2_417 ),
    inference(sat_conversion,[],[f56270]) ).

cnf(s5543,plain,
    ( ~ spl2_392
    | ~ spl2_402
    | ~ spl2_574 ),
    inference(sat_conversion,[],[f56272]) ).

cnf(s5544,plain,
    ( spl2_20
    | ~ spl2_24
    | spl2_399
    | ~ spl2_411 ),
    inference(sat_conversion,[],[f56273]) ).

cnf(s5545,plain,
    ( ~ spl2_289
    | spl2_295
    | spl2_654 ),
    inference(sat_conversion,[],[f56275]) ).

cnf(s5546,plain,
    ( ~ spl2_261
    | ~ spl2_268
    | spl2_269
    | spl2_270 ),
    inference(sat_conversion,[],[f56276]) ).

cnf(s5550,plain,
    ( ~ spl2_198
    | ~ spl2_399
    | spl2_400 ),
    inference(sat_conversion,[],[f56337]) ).

cnf(s5551,plain,
    ( ~ spl2_4
    | spl2_23
    | ~ spl2_399
    | spl2_400 ),
    inference(sat_conversion,[],[f56338]) ).

cnf(s5552,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_303
    | ~ spl2_399
    | spl2_400 ),
    inference(sat_conversion,[],[f56339]) ).

cnf(s5563,plain,
    ( ~ spl2_76
    | spl2_286
    | ~ spl2_289
    | ~ spl2_384
    | ~ spl2_637 ),
    inference(sat_conversion,[],[f56454]) ).

cnf(s5565,plain,
    ( ~ spl2_26
    | ~ spl2_106
    | spl2_216
    | ~ spl2_273 ),
    inference(sat_conversion,[],[f56456]) ).

cnf(s5566,plain,
    ( ~ spl2_4
    | spl2_23
    | ~ spl2_73
    | spl2_82 ),
    inference(sat_conversion,[],[f56459]) ).

cnf(s5567,plain,
    ( ~ spl2_76
    | spl2_392
    | ~ spl2_433
    | spl2_494 ),
    inference(sat_conversion,[],[f56461]) ).

cnf(s5568,plain,
    ( ~ spl2_73
    | spl2_82
    | ~ spl2_198 ),
    inference(sat_conversion,[],[f56462]) ).

cnf(s5571,plain,
    ( ~ spl2_26
    | ~ spl2_73
    | spl2_76
    | spl2_216 ),
    inference(sat_conversion,[],[f56466]) ).

cnf(s5578,plain,
    ( ~ spl2_21
    | ~ spl2_82
    | ~ spl2_289
    | ~ spl2_655 ),
    inference(sat_conversion,[],[f56479]) ).

cnf(s5580,plain,
    ( ~ spl2_58
    | ~ spl2_82
    | spl2_248
    | ~ spl2_608 ),
    inference(sat_conversion,[],[f56482]) ).

cnf(s5581,plain,
    ( spl2_26
    | ~ spl2_433
    | spl2_474
    | ~ spl2_475 ),
    inference(sat_conversion,[],[f56484]) ).

cnf(s5583,plain,
    ( ~ spl2_21
    | ~ spl2_400
    | ~ spl2_433
    | spl2_474 ),
    inference(sat_conversion,[],[f56497]) ).

cnf(s5585,plain,
    ( ~ spl2_8
    | ~ spl2_21
    | ~ spl2_289
    | ~ spl2_660 ),
    inference(sat_conversion,[],[f56504]) ).

cnf(s5586,plain,
    ( spl2_82
    | ~ spl2_254
    | spl2_532 ),
    inference(sat_conversion,[],[f56505]) ).

cnf(s5588,plain,
    ( ~ spl2_60
    | ~ spl2_82
    | spl2_392
    | ~ spl2_433
    | ~ spl2_637 ),
    inference(sat_conversion,[],[f56509]) ).

cnf(s5591,plain,
    ( ~ spl2_4
    | ~ spl2_19
    | ~ spl2_73
    | spl2_82
    | ~ spl2_303 ),
    inference(sat_conversion,[],[f56513]) ).

cnf(s5592,plain,
    ( ~ spl2_26
    | ~ spl2_39
    | spl2_76
    | ~ spl2_135 ),
    inference(sat_conversion,[],[f56515]) ).

cnf(s5594,plain,
    ( ~ spl2_26
    | spl2_216
    | spl2_269
    | ~ spl2_284 ),
    inference(sat_conversion,[],[f56518]) ).

cnf(s5597,plain,
    ( ~ spl2_7
    | ~ spl2_26
    | ~ spl2_106
    | spl2_216
    | spl2_247 ),
    inference(sat_conversion,[],[f56526]) ).

cnf(s5598,plain,
    ( ~ spl2_39
    | ~ spl2_67
    | spl2_76
    | spl2_141 ),
    inference(sat_conversion,[],[f56527]) ).

cnf(s5602,plain,
    ( ~ spl2_26
    | spl2_216
    | ~ spl2_273
    | spl2_288 ),
    inference(sat_conversion,[],[f56534]) ).

cnf(s5604,plain,
    ( ~ spl2_7
    | ~ spl2_26
    | spl2_216
    | spl2_389
    | ~ spl2_463 ),
    inference(sat_conversion,[],[f56536]) ).

cnf(s5606,plain,
    ( ~ spl2_26
    | spl2_216
    | ~ spl2_273
    | spl2_278
    | spl2_282
    | ~ spl2_499 ),
    inference(sat_conversion,[],[f56541]) ).

cnf(s5609,plain,
    ( ~ spl2_26
    | spl2_216
    | ~ spl2_284
    | spl2_292
    | spl2_296
    | ~ spl2_499 ),
    inference(sat_conversion,[],[f56548]) ).

cnf(s5611,plain,
    ( ~ spl2_39
    | ~ spl2_96
    | spl2_288
    | ~ spl2_653 ),
    inference(sat_conversion,[],[f56550]) ).

cnf(s5618,plain,
    ( ~ spl2_58
    | ~ spl2_362
    | ~ spl2_391
    | spl2_393 ),
    inference(sat_conversion,[],[f56559]) ).

cnf(s5619,plain,
    ( spl2_349
    | spl2_520
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f56560]) ).

cnf(s5625,plain,
    ( ~ spl2_63
    | spl2_64
    | spl2_284
    | ~ spl2_384 ),
    inference(sat_conversion,[],[f56567]) ).

cnf(s5627,plain,
    ( spl2_273
    | ~ spl2_614
    | spl2_690 ),
    inference(sat_conversion,[],[f56572]) ).

cnf(s5629,plain,
    ( spl2_20
    | ~ spl2_21
    | ~ spl2_60
    | spl2_73 ),
    inference(sat_conversion,[],[f56577]) ).

cnf(s5630,plain,
    ( ~ spl2_67
    | spl2_82
    | spl2_105
    | ~ spl2_116 ),
    inference(sat_conversion,[],[f56578]) ).

cnf(s5634,plain,
    ( spl2_20
    | ~ spl2_24
    | spl2_284
    | spl2_286 ),
    inference(sat_conversion,[],[f56585]) ).

cnf(s5636,plain,
    ( ~ spl2_60
    | spl2_61
    | spl2_395
    | ~ spl2_411 ),
    inference(sat_conversion,[],[f56588]) ).

cnf(s5637,plain,
    ( ~ spl2_60
    | ~ spl2_288
    | ~ spl2_391
    | ~ spl2_433 ),
    inference(sat_conversion,[],[f56590]) ).

cnf(s5640,plain,
    ( ~ spl2_60
    | spl2_61
    | spl2_286
    | spl2_295 ),
    inference(sat_conversion,[],[f56592]) ).

cnf(s5643,plain,
    ( ~ spl2_89
    | ~ spl2_322
    | spl2_349 ),
    inference(sat_conversion,[],[f56598]) ).

cnf(s5644,plain,
    ( ~ spl2_269
    | ~ spl2_384
    | ~ spl2_385
    | ~ spl2_666 ),
    inference(sat_conversion,[],[f56599]) ).

cnf(s5649,plain,
    ( spl2_67
    | spl2_68
    | spl2_278
    | ~ spl2_321
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f56613]) ).

cnf(s5650,plain,
    ( ~ spl2_58
    | spl2_67
    | spl2_255
    | spl2_292
    | ~ spl2_384 ),
    inference(sat_conversion,[],[f56615]) ).

cnf(s5655,plain,
    ( ~ spl2_14
    | spl2_273
    | ~ spl2_322 ),
    inference(sat_conversion,[],[f56620]) ).

cnf(s5680,plain,
    ( ~ spl2_268
    | ~ spl2_273
    | ~ spl2_687 ),
    inference(sat_conversion,[],[f56838]) ).

cnf(s5705,plain,
    ( spl2_247
    | ~ spl2_266
    | ~ spl2_297
    | ~ spl2_614
    | ~ spl2_691 ),
    inference(sat_conversion,[],[f57056]) ).

cnf(s5712,plain,
    ( spl2_254
    | spl2_691 ),
    inference(sat_conversion,[],[f57079]) ).

cnf(s5713,plain,
    ( spl2_254
    | spl2_282
    | spl2_691 ),
    inference(sat_conversion,[],[f57080]) ).

cnf(s5726,plain,
    ( spl2_15
    | ~ spl2_33
    | ~ spl2_60
    | spl2_68 ),
    inference(sat_conversion,[],[f57096]) ).

cnf(s5742,plain,
    ( spl2_26
    | ~ spl2_63
    | spl2_64
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f57184]) ).

cnf(s5756,plain,
    ( ~ spl2_24
    | ~ spl2_60
    | ~ spl2_64 ),
    inference(sat_conversion,[],[f57340]) ).

cnf(s5758,plain,
    ( ~ spl2_24
    | ~ spl2_64
    | spl2_86 ),
    inference(sat_conversion,[],[f57342]) ).

cnf(s5801,plain,
    ( ~ spl2_67
    | ~ spl2_395
    | ~ spl2_412 ),
    inference(sat_conversion,[],[f57767]) ).

cnf(s5803,plain,
    ( ~ spl2_49
    | ~ spl2_113
    | spl2_115
    | spl2_121
    | ~ spl2_268 ),
    inference(sat_conversion,[],[f57769]) ).

cnf(s5806,plain,
    ( spl2_24
    | ~ spl2_39
    | ~ spl2_116
    | spl2_117 ),
    inference(sat_conversion,[],[f57772]) ).

cnf(s5813,plain,
    ( ~ spl2_39
    | ~ spl2_247
    | ~ spl2_268
    | spl2_274 ),
    inference(sat_conversion,[],[f57780]) ).

cnf(s5816,plain,
    ( spl2_76
    | ~ spl2_268
    | ~ spl2_349
    | spl2_351 ),
    inference(sat_conversion,[],[f57783]) ).

cnf(s5836,plain,
    ( ~ spl2_39
    | ~ spl2_49
    | ~ spl2_116
    | spl2_117 ),
    inference(sat_conversion,[],[f57840]) ).

cnf(s5842,plain,
    ( ~ spl2_113
    | ~ spl2_247
    | spl2_685 ),
    inference(sat_conversion,[],[f57894]) ).

cnf(s5847,plain,
    ( ~ spl2_33
    | spl2_67
    | ~ spl2_76
    | spl2_128 ),
    inference(sat_conversion,[],[f57940]) ).

cnf(s5850,plain,
    ( ~ spl2_33
    | spl2_128
    | spl2_208
    | ~ spl2_595 ),
    inference(sat_conversion,[],[f57977]) ).

cnf(s5852,plain,
    ( ~ spl2_14
    | ~ spl2_115
    | spl2_204
    | spl2_278 ),
    inference(sat_conversion,[],[f58015]) ).

cnf(s5853,plain,
    ( ~ spl2_14
    | spl2_112
    | ~ spl2_115
    | spl2_278 ),
    inference(sat_conversion,[],[f58016]) ).

cnf(s5861,plain,
    ( ~ spl2_26
    | ~ spl2_94
    | ~ spl2_393
    | ~ spl2_399 ),
    inference(sat_conversion,[],[f58266]) ).

cnf(s5865,plain,
    ( spl2_288
    | ~ spl2_595 ),
    inference(sat_conversion,[],[f58271]) ).

cnf(s5868,plain,
    ( ~ spl2_39
    | ~ spl2_49
    | ~ spl2_505 ),
    inference(sat_conversion,[],[f58295]) ).

cnf(s5869,plain,
    ( ~ spl2_68
    | ~ spl2_78
    | ~ spl2_505 ),
    inference(sat_conversion,[],[f58297]) ).

cnf(s5872,plain,
    ( ~ spl2_14
    | spl2_204
    | ~ spl2_289
    | spl2_292 ),
    inference(sat_conversion,[],[f58335]) ).

cnf(s5873,plain,
    ( ~ spl2_14
    | ~ spl2_289
    | spl2_292
    | spl2_428 ),
    inference(sat_conversion,[],[f58336]) ).

cnf(s5878,plain,
    ( ~ spl2_33
    | ~ spl2_269
    | spl2_292
    | spl2_386 ),
    inference(sat_conversion,[],[f58400]) ).

cnf(s5888,plain,
    ( ~ spl2_5
    | spl2_26
    | ~ spl2_33
    | ~ spl2_76
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f58516]) ).

cnf(s5889,plain,
    ( ~ spl2_5
    | spl2_73
    | ~ spl2_89
    | spl2_455 ),
    inference(sat_conversion,[],[f58517]) ).

cnf(s5890,plain,
    ( ~ spl2_21
    | ~ spl2_61
    | spl2_73 ),
    inference(sat_conversion,[],[f58518]) ).

cnf(s5892,plain,
    ( spl2_26
    | ~ spl2_63
    | spl2_64
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f58523]) ).

cnf(s5893,plain,
    ( spl2_20
    | ~ spl2_24
    | ~ spl2_60
    | spl2_73 ),
    inference(sat_conversion,[],[f58524]) ).

cnf(s5894,plain,
    ( ~ spl2_5
    | ~ spl2_24
    | ~ spl2_60
    | spl2_73
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f58525]) ).

cnf(s5899,plain,
    ( ~ spl2_63
    | spl2_64
    | spl2_399
    | ~ spl2_437 ),
    inference(sat_conversion,[],[f58535]) ).

cnf(s5919,plain,
    ( ~ spl2_284
    | ~ spl2_286
    | ~ spl2_687 ),
    inference(sat_conversion,[],[f58672]) ).

cnf(s5936,plain,
    ( ~ spl2_276
    | ~ spl2_316
    | ~ spl2_393 ),
    inference(sat_conversion,[],[f58931]) ).

cnf(s5949,plain,
    ( ~ spl2_313
    | ~ spl2_475
    | ~ spl2_676
    | ~ spl2_690 ),
    inference(sat_conversion,[],[f59383]) ).

cnf(s5952,plain,
    ( ~ spl2_204
    | spl2_389
    | spl2_399
    | spl2_439 ),
    inference(sat_conversion,[],[f59542]) ).

cnf(s5953,plain,
    ( ~ spl2_313
    | ~ spl2_433
    | ~ spl2_475
    | ~ spl2_624 ),
    inference(sat_conversion,[],[f59544]) ).

cnf(s5954,plain,
    ( ~ spl2_433
    | ~ spl2_437
    | ~ spl2_475
    | ~ spl2_620 ),
    inference(sat_conversion,[],[f59545]) ).

cnf(s5955,plain,
    ( ~ spl2_268
    | ~ spl2_316
    | spl2_433
    | spl2_442 ),
    inference(sat_conversion,[],[f59546]) ).

cnf(s5956,plain,
    ( ~ spl2_411
    | ~ spl2_433
    | ~ spl2_437
    | ~ spl2_666 ),
    inference(sat_conversion,[],[f59551]) ).

cnf(s5957,plain,
    ( ~ spl2_259
    | ~ spl2_433
    | ~ spl2_437
    | ~ spl2_655 ),
    inference(sat_conversion,[],[f59555]) ).

cnf(s5964,plain,
    ( ~ spl2_5
    | ~ spl2_115
    | ~ spl2_313
    | spl2_399
    | ~ spl2_422 ),
    inference(sat_conversion,[],[f59562]) ).

cnf(s5965,plain,
    ( ~ spl2_73
    | ~ spl2_393
    | ~ spl2_399
    | ~ spl2_594 ),
    inference(sat_conversion,[],[f59575]) ).

cnf(s5967,plain,
    ( ~ spl2_33
    | spl2_67
    | ~ spl2_76
    | spl2_128 ),
    inference(sat_conversion,[],[f59576]) ).

cnf(s5968,plain,
    ( spl2_6
    | ~ spl2_14
    | ~ spl2_21
    | spl2_39 ),
    inference(sat_conversion,[],[f59578]) ).

cnf(s5969,plain,
    ( ~ spl2_259
    | spl2_383
    | ~ spl2_384
    | spl2_395 ),
    inference(sat_conversion,[],[f59580]) ).

cnf(s5970,plain,
    ( ~ spl2_259
    | ~ spl2_385
    | spl2_386
    | spl2_396 ),
    inference(sat_conversion,[],[f59582]) ).

cnf(s5972,plain,
    ( ~ spl2_68
    | ~ spl2_78
    | ~ spl2_116
    | spl2_117 ),
    inference(sat_conversion,[],[f59584]) ).

cnf(s5973,plain,
    ( ~ spl2_8
    | ~ spl2_14
    | spl2_278
    | ~ spl2_601 ),
    inference(sat_conversion,[],[f59585]) ).

cnf(s5974,plain,
    ( ~ spl2_49
    | spl2_115
    | spl2_456
    | ~ spl2_685 ),
    inference(sat_conversion,[],[f59586]) ).

cnf(s5976,plain,
    ( ~ spl2_68
    | spl2_82
    | ~ spl2_116
    | spl2_117 ),
    inference(sat_conversion,[],[f59588]) ).

cnf(s5982,plain,
    ( spl2_295
    | ~ spl2_347
    | ~ spl2_461 ),
    inference(sat_conversion,[],[f59602]) ).

cnf(s5983,plain,
    ( spl2_6
    | ~ spl2_8
    | ~ spl2_21
    | spl2_39 ),
    inference(sat_conversion,[],[f59604]) ).

cnf(s5987,plain,
    ( ~ spl2_14
    | ~ spl2_16
    | spl2_278
    | ~ spl2_624 ),
    inference(sat_conversion,[],[f59609]) ).

cnf(s5989,plain,
    ( spl2_278
    | ~ spl2_313
    | ~ spl2_422
    | spl2_423 ),
    inference(sat_conversion,[],[f59613]) ).

cnf(s5990,plain,
    ( spl2_67
    | ~ spl2_422
    | ~ spl2_437
    | spl2_494 ),
    inference(sat_conversion,[],[f59614]) ).

cnf(s5992,plain,
    ( ~ spl2_33
    | spl2_61
    | spl2_67
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f59616]) ).

cnf(s6002,plain,
    ( ~ spl2_259
    | ~ spl2_297
    | spl2_389
    | spl2_579 ),
    inference(sat_conversion,[],[f59632]) ).

cnf(s6027,plain,
    ( spl2_48
    | ~ spl2_49
    | ~ spl2_107
    | ~ spl2_268 ),
    inference(sat_conversion,[],[f59767]) ).

cnf(s6057,plain,
    ( ~ spl2_259
    | ~ spl2_433
    | ~ spl2_473
    | ~ spl2_660 ),
    inference(sat_conversion,[],[f60210]) ).

cnf(s6059,plain,
    ( ~ spl2_396
    | spl2_400
    | spl2_408 ),
    inference(sat_conversion,[],[f60215]) ).

cnf(s6060,plain,
    ( ~ spl2_29
    | ~ spl2_76
    | ~ spl2_666 ),
    inference(sat_conversion,[],[f60216]) ).

cnf(s6065,plain,
    ( spl2_44
    | ~ spl2_46
    | ~ spl2_268
    | spl2_288 ),
    inference(sat_conversion,[],[f60224]) ).

cnf(s6067,plain,
    ( spl2_39
    | spl2_57
    | ~ spl2_58
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f60234]) ).

cnf(s6069,plain,
    ( ~ spl2_29
    | spl2_30
    | ~ spl2_60
    | spl2_86 ),
    inference(sat_conversion,[],[f60236]) ).

cnf(s6074,plain,
    ( ~ spl2_313
    | ~ spl2_321
    | spl2_322
    | spl2_389 ),
    inference(sat_conversion,[],[f60241]) ).

cnf(s6077,plain,
    ( spl2_15
    | ~ spl2_16
    | ~ spl2_60
    | spl2_68 ),
    inference(sat_conversion,[],[f60245]) ).

cnf(s6081,plain,
    ( spl2_68
    | ~ spl2_321
    | spl2_322
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f60253]) ).

cnf(s6082,plain,
    ( ~ spl2_268
    | ~ spl2_316
    | spl2_433
    | spl2_442 ),
    inference(sat_conversion,[],[f60255]) ).

cnf(s6084,plain,
    ( ~ spl2_277
    | ~ spl2_288
    | ~ spl2_347
    | ~ spl2_666 ),
    inference(sat_conversion,[],[f60257]) ).

cnf(s6085,plain,
    ( ~ spl2_26
    | ~ spl2_399
    | ~ spl2_652 ),
    inference(sat_conversion,[],[f60258]) ).

cnf(s6102,plain,
    ( ~ spl2_74
    | spl2_78
    | ~ spl2_107 ),
    inference(sat_conversion,[],[f60386]) ).

cnf(s6106,plain,
    ( ~ spl2_46
    | ~ spl2_74
    | spl2_86 ),
    inference(sat_conversion,[],[f60391]) ).

cnf(s6108,plain,
    ( spl2_24
    | ~ spl2_74
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f60394]) ).

cnf(s6109,plain,
    ( spl2_26
    | ~ spl2_73
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f60395]) ).

cnf(s6110,plain,
    ( ~ spl2_74
    | ~ spl2_82
    | spl2_115 ),
    inference(sat_conversion,[],[f60397]) ).

cnf(s6113,plain,
    ( ~ spl2_30
    | ~ spl2_60
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f60403]) ).

cnf(s6114,plain,
    ( ~ spl2_30
    | spl2_46
    | ~ spl2_74 ),
    inference(sat_conversion,[],[f60404]) ).

cnf(s6117,plain,
    ( spl2_392
    | spl2_676 ),
    inference(sat_conversion,[],[f60406]) ).

cnf(s6120,plain,
    ( spl2_296
    | spl2_392
    | spl2_676 ),
    inference(sat_conversion,[],[f60410]) ).

cnf(s6122,plain,
    ( spl2_74
    | spl2_259
    | spl2_260 ),
    inference(sat_conversion,[],[f60428]) ).

cnf(s6123,plain,
    ( spl2_74
    | spl2_96
    | spl2_524 ),
    inference(sat_conversion,[],[f60429]) ).

cnf(s6124,plain,
    ( spl2_74
    | spl2_261
    | spl2_262 ),
    inference(sat_conversion,[],[f60430]) ).

cnf(s6125,plain,
    ( spl2_74
    | spl2_265
    | spl2_266 ),
    inference(sat_conversion,[],[f60431]) ).

cnf(s6126,plain,
    ( ~ spl2_58
    | spl2_74
    | spl2_96
    | spl2_525 ),
    inference(sat_conversion,[],[f60432]) ).

cnf(s6127,plain,
    ( spl2_74
    | spl2_263
    | spl2_264 ),
    inference(sat_conversion,[],[f60433]) ).

cnf(s6143,plain,
    ( ~ spl2_208
    | spl2_278 ),
    inference(sat_conversion,[],[f60521]) ).

cnf(s6157,plain,
    ( ~ spl2_49
    | spl2_269
    | ~ spl2_285
    | spl2_488 ),
    inference(sat_conversion,[],[f60614]) ).

cnf(s6163,plain,
    ( spl2_61
    | ~ spl2_76
    | ~ spl2_277
    | spl2_349 ),
    inference(sat_conversion,[],[f60696]) ).

cnf(s6189,plain,
    ( spl2_61
    | ~ spl2_76
    | spl2_395
    | ~ spl2_411 ),
    inference(sat_conversion,[],[f60912]) ).

cnf(s6197,plain,
    ( ~ spl2_5
    | ~ spl2_82
    | spl2_284
    | ~ spl2_343
    | ~ spl2_384 ),
    inference(sat_conversion,[],[f60978]) ).

cnf(s6199,plain,
    ( ~ spl2_19
    | ~ spl2_67
    | spl2_76
    | spl2_77 ),
    inference(sat_conversion,[],[f60979]) ).

cnf(s6202,plain,
    ( spl2_15
    | ~ spl2_16
    | spl2_247
    | ~ spl2_277 ),
    inference(sat_conversion,[],[f60982]) ).

cnf(s6208,plain,
    ( ~ spl2_33
    | spl2_278
    | ~ spl2_288
    | spl2_363 ),
    inference(sat_conversion,[],[f60997]) ).

cnf(s6209,plain,
    ( spl2_39
    | ~ spl2_288
    | ~ spl2_321
    | spl2_322 ),
    inference(sat_conversion,[],[f61000]) ).

cnf(s6221,plain,
    ( spl2_19
    | spl2_39
    | spl2_278
    | ~ spl2_288
    | ~ spl2_321 ),
    inference(sat_conversion,[],[f61020]) ).

cnf(s6222,plain,
    ( ~ spl2_16
    | spl2_19
    | spl2_247
    | ~ spl2_277
    | spl2_278 ),
    inference(sat_conversion,[],[f61021]) ).

cnf(s6225,plain,
    ( ~ spl2_16
    | spl2_19
    | spl2_255
    | spl2_286
    | spl2_292 ),
    inference(sat_conversion,[],[f61029]) ).

cnf(s6242,plain,
    ( spl2_24
    | ~ spl2_96
    | spl2_626 ),
    inference(sat_conversion,[],[f61106]) ).

cnf(s6244,plain,
    ( spl2_269
    | ~ spl2_595 ),
    inference(sat_conversion,[],[f61145]) ).

cnf(s6245,plain,
    ( spl2_76
    | ~ spl2_595 ),
    inference(sat_conversion,[],[f61148]) ).

cnf(s6255,plain,
    ( ~ spl2_60
    | ~ spl2_277
    | spl2_363
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f61279]) ).

cnf(s6256,plain,
    ( spl2_86
    | ~ spl2_277
    | spl2_363
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f61280]) ).

cnf(s6265,plain,
    ( spl2_76
    | ~ spl2_395
    | ~ spl2_396
    | spl2_417 ),
    inference(sat_conversion,[],[f61368]) ).

cnf(s6267,plain,
    ( spl2_73
    | spl2_474
    | ~ spl2_475
    | ~ spl2_676 ),
    inference(sat_conversion,[],[f61417]) ).

cnf(s6270,plain,
    ( spl2_248
    | ~ spl2_315
    | spl2_391 ),
    inference(sat_conversion,[],[f61548]) ).

cnf(s6274,plain,
    ( spl2_254
    | ~ spl2_263
    | spl2_425 ),
    inference(sat_conversion,[],[f61646]) ).

cnf(s6276,plain,
    ( ~ spl2_265
    | ~ spl2_488
    | spl2_589 ),
    inference(sat_conversion,[],[f61706]) ).

cnf(s6280,plain,
    ( ~ spl2_260
    | spl2_269
    | ~ spl2_396
    | spl2_430 ),
    inference(sat_conversion,[],[f61711]) ).

cnf(s6284,plain,
    ( spl2_115
    | ~ spl2_261
    | spl2_271 ),
    inference(sat_conversion,[],[f61716]) ).

cnf(s6285,plain,
    ( ~ spl2_265
    | spl2_289
    | spl2_290 ),
    inference(sat_conversion,[],[f61717]) ).

cnf(s6288,plain,
    ( spl2_115
    | ~ spl2_116
    | ~ spl2_662 ),
    inference(sat_conversion,[],[f61723]) ).

cnf(s6289,plain,
    ( ~ spl2_8
    | spl2_389
    | ~ spl2_474 ),
    inference(sat_conversion,[],[f61727]) ).

cnf(s6293,plain,
    ( spl2_76
    | ~ spl2_286
    | ~ spl2_295
    | spl2_376 ),
    inference(sat_conversion,[],[f61734]) ).

cnf(s6294,plain,
    ( spl2_73
    | ~ spl2_111
    | spl2_112
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f61735]) ).

cnf(s6331,plain,
    ( spl2_181
    | ~ spl2_286
    | ~ spl2_376 ),
    inference(sat_conversion,[],[f62327]) ).

cnf(s6332,plain,
    ( ~ spl2_265
    | ~ spl2_286
    | spl2_510
    | ~ spl2_685 ),
    inference(sat_conversion,[],[f62460]) ).

cnf(s6333,plain,
    ( ~ spl2_314
    | ~ spl2_396
    | spl2_412
    | ~ spl2_685 ),
    inference(sat_conversion,[],[f62461]) ).

cnf(s6336,plain,
    ( ~ spl2_286
    | ~ spl2_613
    | spl2_687 ),
    inference(sat_conversion,[],[f62719]) ).

cnf(s6337,plain,
    ( spl2_110
    | ~ spl2_115
    | ~ spl2_277 ),
    inference(sat_conversion,[],[f62778]) ).

cnf(s6338,plain,
    ( spl2_110
    | ~ spl2_115
    | spl2_268 ),
    inference(sat_conversion,[],[f62779]) ).

cnf(s6341,plain,
    ( ~ spl2_33
    | ~ spl2_58
    | spl2_278
    | ~ spl2_436 ),
    inference(sat_conversion,[],[f62891]) ).

cnf(s6343,plain,
    ( ~ spl2_289
    | spl2_292
    | ~ spl2_638 ),
    inference(sat_conversion,[],[f62893]) ).

cnf(s6346,plain,
    ( ~ spl2_33
    | ~ spl2_58
    | spl2_393
    | ~ spl2_479 ),
    inference(sat_conversion,[],[f62896]) ).

cnf(s6347,plain,
    ( ~ spl2_115
    | spl2_278
    | ~ spl2_638 ),
    inference(sat_conversion,[],[f62897]) ).

cnf(s6350,plain,
    ( spl2_393
    | ~ spl2_400
    | ~ spl2_638 ),
    inference(sat_conversion,[],[f62899]) ).

cnf(s6353,plain,
    ( ~ spl2_33
    | spl2_128
    | ~ spl2_269
    | spl2_292 ),
    inference(sat_conversion,[],[f62902]) ).

cnf(s6354,plain,
    ( ~ spl2_33
    | spl2_393
    | ~ spl2_433
    | spl2_496 ),
    inference(sat_conversion,[],[f62904]) ).

cnf(s6355,plain,
    ( spl2_278
    | ~ spl2_288
    | ~ spl2_640 ),
    inference(sat_conversion,[],[f62905]) ).

cnf(s6356,plain,
    ( ~ spl2_33
    | spl2_128
    | spl2_393
    | ~ spl2_433 ),
    inference(sat_conversion,[],[f62906]) ).

cnf(s6357,plain,
    ( ~ spl2_33
    | ~ spl2_269
    | spl2_292
    | spl2_386 ),
    inference(sat_conversion,[],[f62909]) ).

cnf(s6378,plain,
    ( ~ spl2_26
    | ~ spl2_290
    | ~ spl2_300
    | spl2_588 ),
    inference(sat_conversion,[],[f63135]) ).

cnf(s6379,plain,
    ( ~ spl2_4
    | spl2_276
    | ~ spl2_290
    | ~ spl2_292 ),
    inference(sat_conversion,[],[f63136]) ).

cnf(s6380,plain,
    ( ~ spl2_26
    | ~ spl2_78
    | ~ spl2_96
    | spl2_141 ),
    inference(sat_conversion,[],[f63160]) ).

cnf(s6381,plain,
    ( ~ spl2_26
    | spl2_76
    | ~ spl2_78
    | spl2_141 ),
    inference(sat_conversion,[],[f63161]) ).

cnf(s6382,plain,
    ( ~ spl2_4
    | spl2_276
    | ~ spl2_393
    | ~ spl2_462 ),
    inference(sat_conversion,[],[f63230]) ).

cnf(s6383,plain,
    ( ~ spl2_260
    | ~ spl2_286
    | ~ spl2_396
    | spl2_542 ),
    inference(sat_conversion,[],[f63333]) ).

cnf(s6384,plain,
    ( ~ spl2_14
    | ~ spl2_58
    | spl2_278
    | ~ spl2_690 ),
    inference(sat_conversion,[],[f63334]) ).

cnf(s6385,plain,
    ( spl2_286
    | ~ spl2_551
    | spl2_656 ),
    inference(sat_conversion,[],[f63337]) ).

cnf(s6387,plain,
    ( ~ spl2_16
    | ~ spl2_33
    | ~ spl2_114
    | spl2_268
    | spl2_278 ),
    inference(sat_conversion,[],[f63340]) ).

cnf(s6400,plain,
    ( ~ spl2_58
    | ~ spl2_89
    | spl2_292
    | ~ spl2_599 ),
    inference(sat_conversion,[],[f63360]) ).

cnf(s6402,plain,
    ( ~ spl2_16
    | ~ spl2_33
    | spl2_67
    | ~ spl2_666 ),
    inference(sat_conversion,[],[f63362]) ).

cnf(s6407,plain,
    ( spl2_389
    | ~ spl2_411
    | ~ spl2_665
    | ~ spl2_676 ),
    inference(sat_conversion,[],[f63367]) ).

cnf(s6408,plain,
    ( spl2_68
    | ~ spl2_473
    | spl2_477
    | ~ spl2_676 ),
    inference(sat_conversion,[],[f63368]) ).

cnf(s6411,plain,
    ( ~ spl2_314
    | spl2_400
    | spl2_462 ),
    inference(sat_conversion,[],[f63372]) ).

cnf(s6413,plain,
    ( ~ spl2_14
    | ~ spl2_16
    | spl2_292
    | ~ spl2_657 ),
    inference(sat_conversion,[],[f63374]) ).

cnf(s6417,plain,
    ( ~ spl2_395
    | spl2_400
    | spl2_541 ),
    inference(sat_conversion,[],[f63380]) ).

cnf(s6418,plain,
    ( ~ spl2_114
    | spl2_273
    | spl2_624 ),
    inference(sat_conversion,[],[f63381]) ).

cnf(s6423,plain,
    ( ~ spl2_16
    | spl2_19
    | ~ spl2_60
    | spl2_67
    | spl2_68 ),
    inference(sat_conversion,[],[f63390]) ).

cnf(s6426,plain,
    ( spl2_67
    | spl2_68
    | spl2_393
    | ~ spl2_473
    | ~ spl2_676 ),
    inference(sat_conversion,[],[f63395]) ).

cnf(s6434,plain,
    ( ~ spl2_82
    | ~ spl2_112
    | spl2_349 ),
    inference(sat_conversion,[],[f63406]) ).

cnf(s6435,plain,
    ( spl2_295
    | ~ spl2_551
    | spl2_655 ),
    inference(sat_conversion,[],[f63408]) ).

cnf(s6436,plain,
    ( ~ spl2_82
    | spl2_395
    | ~ spl2_474 ),
    inference(sat_conversion,[],[f63409]) ).

cnf(s6437,plain,
    ( spl2_39
    | ~ spl2_269
    | ~ spl2_297
    | spl2_579 ),
    inference(sat_conversion,[],[f63410]) ).

cnf(s6440,plain,
    ( ~ spl2_114
    | spl2_349
    | spl2_618 ),
    inference(sat_conversion,[],[f63413]) ).

cnf(s6441,plain,
    ( spl2_39
    | ~ spl2_433
    | ~ spl2_473
    | spl2_477 ),
    inference(sat_conversion,[],[f63415]) ).

cnf(s6442,plain,
    ( ~ spl2_114
    | spl2_247
    | spl2_617 ),
    inference(sat_conversion,[],[f63416]) ).

cnf(s6444,plain,
    ( spl2_15
    | ~ spl2_33
    | spl2_247
    | ~ spl2_277 ),
    inference(sat_conversion,[],[f63421]) ).

cnf(s6447,plain,
    ( ~ spl2_60
    | spl2_61
    | ~ spl2_277
    | spl2_349 ),
    inference(sat_conversion,[],[f63425]) ).

cnf(s6448,plain,
    ( spl2_19
    | spl2_39
    | spl2_393
    | ~ spl2_433
    | ~ spl2_473 ),
    inference(sat_conversion,[],[f63426]) ).

cnf(s6454,plain,
    ( ~ spl2_68
    | ~ spl2_105
    | spl2_456 ),
    inference(sat_conversion,[],[f63459]) ).

cnf(s6455,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f63460]) ).

cnf(s6457,plain,
    ( ~ spl2_68
    | spl2_104
    | ~ spl2_141 ),
    inference(sat_conversion,[],[f63462]) ).

cnf(s6460,plain,
    ( ~ spl2_68
    | ~ spl2_265
    | ~ spl2_278
    | ~ spl2_376 ),
    inference(sat_conversion,[],[f63498]) ).

cnf(s6479,plain,
    ( ~ spl2_141
    | ~ spl2_248
    | spl2_588 ),
    inference(sat_conversion,[],[f63711]) ).

cnf(s6480,plain,
    ( ~ spl2_185
    | ~ spl2_248
    | ~ spl2_349 ),
    inference(sat_conversion,[],[f63713]) ).

cnf(s6492,plain,
    ( ~ spl2_60
    | spl2_61
    | ~ spl2_277
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f63823]) ).

cnf(s6501,plain,
    ( ~ spl2_68
    | ~ spl2_248
    | ~ spl2_662 ),
    inference(sat_conversion,[],[f63923]) ).

cnf(s6507,plain,
    ( spl2_15
    | ~ spl2_16
    | spl2_255
    | spl2_286 ),
    inference(sat_conversion,[],[f63935]) ).

cnf(s6514,plain,
    ( ~ spl2_19
    | ~ spl2_67
    | spl2_77
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f63974]) ).

cnf(s6515,plain,
    ( ~ spl2_19
    | ~ spl2_67
    | spl2_76
    | spl2_77 ),
    inference(sat_conversion,[],[f63975]) ).

cnf(s6531,plain,
    ( spl2_68
    | ~ spl2_321
    | spl2_322
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f64115]) ).

cnf(s6548,plain,
    ( spl2_86
    | ~ spl2_411
    | spl2_496
    | ~ spl2_676 ),
    inference(sat_conversion,[],[f64286]) ).

cnf(s6551,plain,
    ( spl2_72
    | spl2_73
    | ~ spl2_265
    | ~ spl2_294
    | ~ spl2_314
    | ~ spl2_417
    | spl2_428 ),
    inference(sat_conversion,[],[f64399]) ).

cnf(s6553,plain,
    ( spl2_68
    | spl2_72
    | ~ spl2_265
    | ~ spl2_297
    | ~ spl2_314
    | ~ spl2_417
    | spl2_579 ),
    inference(sat_conversion,[],[f64402]) ).

cnf(s6555,plain,
    ( spl2_72
    | spl2_86
    | ~ spl2_265
    | spl2_286
    | ~ spl2_314
    | spl2_386
    | ~ spl2_417 ),
    inference(sat_conversion,[],[f64406]) ).

cnf(s6558,plain,
    ( spl2_24
    | spl2_25
    | ~ spl2_39 ),
    inference(sat_conversion,[],[f64411]) ).

cnf(s6559,plain,
    ( ~ spl2_49
    | spl2_269
    | ~ spl2_285
    | spl2_488 ),
    inference(sat_conversion,[],[f64412]) ).

cnf(s6560,plain,
    ( ~ spl2_24
    | ~ spl2_63
    | ~ spl2_400
    | ~ spl2_479 ),
    inference(sat_conversion,[],[f64413]) ).

cnf(s6561,plain,
    ( ~ spl2_49
    | ~ spl2_107
    | spl2_288
    | spl2_577 ),
    inference(sat_conversion,[],[f64414]) ).

cnf(s6563,plain,
    ( spl2_20
    | ~ spl2_24
    | spl2_273
    | ~ spl2_277 ),
    inference(sat_conversion,[],[f64416]) ).

cnf(s6564,plain,
    ( spl2_284
    | ~ spl2_551
    | spl2_657 ),
    inference(sat_conversion,[],[f64417]) ).

cnf(s6565,plain,
    ( ~ spl2_49
    | spl2_82
    | ~ spl2_96
    | spl2_105 ),
    inference(sat_conversion,[],[f64418]) ).

cnf(s6567,plain,
    ( spl2_61
    | ~ spl2_76
    | spl2_395
    | ~ spl2_411 ),
    inference(sat_conversion,[],[f64421]) ).

cnf(s6568,plain,
    ( spl2_61
    | ~ spl2_76
    | spl2_286
    | spl2_295 ),
    inference(sat_conversion,[],[f64422]) ).

cnf(s6570,plain,
    ( spl2_61
    | ~ spl2_76
    | ~ spl2_277
    | spl2_349 ),
    inference(sat_conversion,[],[f64424]) ).

cnf(s6579,plain,
    ( ~ spl2_73
    | spl2_82
    | spl2_635 ),
    inference(sat_conversion,[],[f64458]) ).

cnf(s6580,plain,
    ( ~ spl2_73
    | ~ spl2_626
    | spl2_687 ),
    inference(sat_conversion,[],[f64459]) ).

cnf(s6581,plain,
    ( ~ spl2_73
    | ~ spl2_77
    | spl2_456 ),
    inference(sat_conversion,[],[f64460]) ).

cnf(s6582,plain,
    ( ~ spl2_49
    | spl2_76
    | ~ spl2_78
    | spl2_105 ),
    inference(sat_conversion,[],[f64466]) ).

cnf(s6583,plain,
    ( spl2_115
    | ~ spl2_247
    | spl2_358 ),
    inference(sat_conversion,[],[f64475]) ).

cnf(s6607,plain,
    ( ~ spl2_49
    | ~ spl2_402
    | spl2_433
    | spl2_490 ),
    inference(sat_conversion,[],[f64687]) ).

cnf(s6620,plain,
    ( spl2_254
    | ~ spl2_266
    | spl2_435 ),
    inference(sat_conversion,[],[f64871]) ).

cnf(s6634,plain,
    ( ~ spl2_264
    | spl2_412
    | ~ spl2_597 ),
    inference(sat_conversion,[],[f65097]) ).

cnf(s6635,plain,
    ( ~ spl2_260
    | ~ spl2_292
    | ~ spl2_412 ),
    inference(sat_conversion,[],[f65109]) ).

cnf(s6636,plain,
    ( ~ spl2_260
    | spl2_400
    | spl2_438 ),
    inference(sat_conversion,[],[f65110]) ).

cnf(s6640,plain,
    ( spl2_115
    | ~ spl2_316
    | spl2_522 ),
    inference(sat_conversion,[],[f65120]) ).

cnf(s6641,plain,
    ( ~ spl2_264
    | spl2_289
    | spl2_441 ),
    inference(sat_conversion,[],[f65126]) ).

cnf(s6642,plain,
    ( ~ spl2_21
    | spl2_273
    | ~ spl2_363 ),
    inference(sat_conversion,[],[f65128]) ).

cnf(s6643,plain,
    ( ~ spl2_26
    | spl2_76
    | ~ spl2_598 ),
    inference(sat_conversion,[],[f65129]) ).

cnf(s6644,plain,
    ( spl2_115
    | ~ spl2_261
    | spl2_271 ),
    inference(sat_conversion,[],[f65131]) ).

cnf(s6645,plain,
    ( ~ spl2_76
    | spl2_349
    | ~ spl2_363 ),
    inference(sat_conversion,[],[f65134]) ).

cnf(s6647,plain,
    ( spl2_20
    | ~ spl2_21
    | spl2_273
    | ~ spl2_277 ),
    inference(sat_conversion,[],[f65136]) ).

cnf(s6649,plain,
    ( spl2_20
    | ~ spl2_21
    | spl2_399
    | ~ spl2_411 ),
    inference(sat_conversion,[],[f65138]) ).

cnf(s6650,plain,
    ( ~ spl2_111
    | spl2_112
    | ~ spl2_266
    | spl2_284 ),
    inference(sat_conversion,[],[f65139]) ).

cnf(s6653,plain,
    ( ~ spl2_111
    | spl2_112
    | ~ spl2_313
    | spl2_399 ),
    inference(sat_conversion,[],[f65142]) ).

cnf(s6654,plain,
    ( spl2_20
    | ~ spl2_21
    | spl2_284
    | spl2_286 ),
    inference(sat_conversion,[],[f65143]) ).

cnf(s6655,plain,
    ( ~ spl2_313
    | spl2_346
    | ~ spl2_347
    | spl2_395 ),
    inference(sat_conversion,[],[f65146]) ).

cnf(s6658,plain,
    ( spl2_57
    | ~ spl2_58
    | spl2_255
    | ~ spl2_384 ),
    inference(sat_conversion,[],[f65151]) ).

cnf(s6678,plain,
    ( ~ spl2_49
    | ~ spl2_107
    | spl2_288
    | spl2_577 ),
    inference(sat_conversion,[],[f65277]) ).

cnf(s6696,plain,
    ( spl2_248
    | ~ spl2_347
    | spl2_520 ),
    inference(sat_conversion,[],[f65468]) ).

cnf(s6704,plain,
    ( ~ spl2_94
    | ~ spl2_260
    | ~ spl2_300
    | ~ spl2_393 ),
    inference(sat_conversion,[],[f65620]) ).

cnf(s6707,plain,
    ( spl2_57
    | ~ spl2_58
    | spl2_389
    | ~ spl2_437 ),
    inference(sat_conversion,[],[f65623]) ).

cnf(s6708,plain,
    ( ~ spl2_16
    | spl2_74
    | spl2_86
    | spl2_665 ),
    inference(sat_conversion,[],[f65624]) ).

cnf(s6711,plain,
    ( ~ spl2_60
    | spl2_61
    | spl2_268
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f65628]) ).

cnf(s6712,plain,
    ( ~ spl2_89
    | spl2_278
    | spl2_346
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f65629]) ).

cnf(s6714,plain,
    ( ~ spl2_60
    | spl2_61
    | spl2_396
    | ~ spl2_437 ),
    inference(sat_conversion,[],[f65632]) ).

cnf(s6715,plain,
    ( ~ spl2_277
    | ~ spl2_313
    | spl2_363
    | spl2_396 ),
    inference(sat_conversion,[],[f65633]) ).

cnf(s6716,plain,
    ( spl2_116
    | ~ spl2_400
    | ~ spl2_473
    | spl2_477 ),
    inference(sat_conversion,[],[f65634]) ).

cnf(s6718,plain,
    ( ~ spl2_264
    | ~ spl2_286
    | spl2_433
    | spl2_434 ),
    inference(sat_conversion,[],[f65639]) ).

cnf(s6720,plain,
    ( ~ spl2_266
    | ~ spl2_277
    | spl2_286
    | spl2_363 ),
    inference(sat_conversion,[],[f65641]) ).

cnf(s6721,plain,
    ( ~ spl2_86
    | ~ spl2_392
    | spl2_433
    | spl2_440 ),
    inference(sat_conversion,[],[f65642]) ).

cnf(s6723,plain,
    ( ~ spl2_16
    | spl2_74
    | ~ spl2_89
    | spl2_96
    | spl2_500 ),
    inference(sat_conversion,[],[f65645]) ).

cnf(s6724,plain,
    ( ~ spl2_268
    | ~ spl2_316
    | spl2_433
    | spl2_442 ),
    inference(sat_conversion,[],[f65646]) ).

cnf(s6726,plain,
    ( ~ spl2_33
    | ~ spl2_58
    | spl2_74
    | spl2_86
    | spl2_640 ),
    inference(sat_conversion,[],[f65649]) ).

cnf(s6728,plain,
    ( spl2_86
    | ~ spl2_277
    | spl2_363
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f65652]) ).

cnf(s6734,plain,
    ( ~ spl2_21
    | spl2_39
    | spl2_116
    | spl2_576 ),
    inference(sat_conversion,[],[f65666]) ).

cnf(s6737,plain,
    ( spl2_4
    | ~ spl2_8
    | spl2_19
    | ~ spl2_21
    | spl2_39 ),
    inference(sat_conversion,[],[f65672]) ).

cnf(s6745,plain,
    ( ~ spl2_152
    | spl2_595 ),
    inference(sat_conversion,[],[f65711]) ).

cnf(s6748,plain,
    ( ~ spl2_19
    | ~ spl2_278
    | spl2_288
    | spl2_553 ),
    inference(sat_conversion,[],[f65726]) ).

cnf(s6751,plain,
    ( spl2_60
    | spl2_74
    | spl2_86 ),
    inference(sat_conversion,[],[f65735]) ).

cnf(s6755,plain,
    ( spl2_39
    | spl2_57
    | ~ spl2_58
    | ~ spl2_76 ),
    inference(sat_conversion,[],[f65789]) ).

cnf(s6760,plain,
    ( ~ spl2_255
    | spl2_289
    | spl2_338 ),
    inference(sat_conversion,[],[f65858]) ).

cnf(s6761,plain,
    ( spl2_268
    | spl2_277
    | spl2_282 ),
    inference(sat_conversion,[],[f65874]) ).

cnf(s6764,plain,
    ( ~ spl2_57
    | ~ spl2_362
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f65907]) ).

cnf(s6773,plain,
    ( spl2_248
    | ~ spl2_262
    | spl2_435 ),
    inference(sat_conversion,[],[f66081]) ).

cnf(s6775,plain,
    ( ~ spl2_262
    | ~ spl2_346
    | ~ spl2_691 ),
    inference(sat_conversion,[],[f66125]) ).

cnf(s6777,plain,
    ( spl2_82
    | ~ spl2_392
    | spl2_534 ),
    inference(sat_conversion,[],[f66127]) ).

cnf(s6779,plain,
    ( ~ spl2_60
    | spl2_268
    | ~ spl2_346 ),
    inference(sat_conversion,[],[f66129]) ).

cnf(s6781,plain,
    ( ~ spl2_286
    | spl2_289
    | spl2_339 ),
    inference(sat_conversion,[],[f66131]) ).

cnf(s6784,plain,
    ( ~ spl2_262
    | spl2_268
    | ~ spl2_385
    | spl2_386 ),
    inference(sat_conversion,[],[f66135]) ).

cnf(s6786,plain,
    ( spl2_115
    | ~ spl2_273
    | spl2_275 ),
    inference(sat_conversion,[],[f66137]) ).

cnf(s6789,plain,
    ( ~ spl2_14
    | spl2_204
    | spl2_393
    | ~ spl2_400 ),
    inference(sat_conversion,[],[f66143]) ).

cnf(s6791,plain,
    ( spl2_278
    | ~ spl2_500
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f66145]) ).

cnf(s6792,plain,
    ( ~ spl2_266
    | spl2_278
    | ~ spl2_343
    | spl2_461 ),
    inference(sat_conversion,[],[f66146]) ).

cnf(s6793,plain,
    ( ~ spl2_14
    | spl2_393
    | ~ spl2_400
    | spl2_474 ),
    inference(sat_conversion,[],[f66147]) ).

cnf(s6796,plain,
    ( spl2_67
    | ~ spl2_422
    | ~ spl2_437
    | spl2_494 ),
    inference(sat_conversion,[],[f66150]) ).

cnf(s6799,plain,
    ( ~ spl2_262
    | ~ spl2_277
    | ~ spl2_448
    | ~ spl2_614 ),
    inference(sat_conversion,[],[f66155]) ).

cnf(s6800,plain,
    ( ~ spl2_266
    | spl2_295
    | spl2_346
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f66156]) ).

cnf(s6804,plain,
    ( spl2_24
    | ~ spl2_26
    | spl2_625 ),
    inference(sat_conversion,[],[f66175]) ).

cnf(s6808,plain,
    ( ~ spl2_68
    | spl2_82
    | spl2_83 ),
    inference(sat_conversion,[],[f66185]) ).

cnf(s6819,plain,
    ( spl2_27
    | spl2_76
    | spl2_96 ),
    inference(sat_conversion,[],[f66315]) ).

cnf(s6832,plain,
    ( spl2_248
    | ~ spl2_277
    | spl2_436 ),
    inference(sat_conversion,[],[f66459]) ).

cnf(s6855,plain,
    ( ~ spl2_19
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_594 ),
    inference(sat_conversion,[],[f66808]) ).

cnf(s6856,plain,
    ( spl2_15
    | ~ spl2_16
    | ~ spl2_24
    | spl2_116 ),
    inference(sat_conversion,[],[f66810]) ).

cnf(s6858,plain,
    ( ~ spl2_26
    | spl2_198
    | ~ spl2_216 ),
    inference(sat_conversion,[],[f66812]) ).

cnf(s6863,plain,
    ( ~ spl2_86
    | ~ spl2_248
    | spl2_288
    | spl2_312 ),
    inference(sat_conversion,[],[f66826]) ).

cnf(s6868,plain,
    ( spl2_115
    | ~ spl2_572 ),
    inference(sat_conversion,[],[f66844]) ).

cnf(s6878,plain,
    ( spl2_115
    | ~ spl2_349
    | spl2_350 ),
    inference(sat_conversion,[],[f66867]) ).

cnf(s6880,plain,
    ( ~ spl2_24
    | spl2_39
    | spl2_92 ),
    inference(sat_conversion,[],[f66869]) ).

cnf(s6881,plain,
    ( spl2_82
    | ~ spl2_248
    | spl2_536 ),
    inference(sat_conversion,[],[f66870]) ).

cnf(s6882,plain,
    ( ~ spl2_399
    | spl2_400
    | spl2_409 ),
    inference(sat_conversion,[],[f66873]) ).

cnf(s6883,plain,
    ( spl2_392
    | ~ spl2_437
    | spl2_570 ),
    inference(sat_conversion,[],[f66874]) ).

cnf(s6884,plain,
    ( ~ spl2_14
    | spl2_19
    | spl2_20
    | ~ spl2_24 ),
    inference(sat_conversion,[],[f66875]) ).

cnf(s6887,plain,
    ( ~ spl2_14
    | spl2_19
    | ~ spl2_24
    | spl2_204 ),
    inference(sat_conversion,[],[f66879]) ).

cnf(s6889,plain,
    ( spl2_4
    | ~ spl2_16
    | spl2_19
    | ~ spl2_24
    | spl2_116 ),
    inference(sat_conversion,[],[f66881]) ).

cnf(s6897,plain,
    ( ~ spl2_21
    | spl2_51
    | spl2_576 ),
    inference(sat_conversion,[],[f66945]) ).

cnf(s6899,plain,
    ( spl2_4
    | spl2_20
    | ~ spl2_21
    | ~ spl2_33 ),
    inference(sat_conversion,[],[f66950]) ).

cnf(s6907,plain,
    ( spl2_27
    | spl2_60
    | spl2_86 ),
    inference(sat_conversion,[],[f66997]) ).

cnf(s6910,plain,
    ( spl2_107
    | spl2_115
    | spl2_245 ),
    inference(sat_conversion,[],[f67012]) ).

cnf(s6912,plain,
    ( ~ spl2_284
    | spl2_289
    | spl2_370 ),
    inference(sat_conversion,[],[f67026]) ).

cnf(s6916,plain,
    ( ~ spl2_33
    | spl2_128
    | spl2_278
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f67066]) ).

cnf(s6933,plain,
    ( ~ spl2_43
    | ~ spl2_393
    | ~ spl2_396 ),
    inference(sat_conversion,[],[f67231]) ).

cnf(s6940,plain,
    ( ~ spl2_262
    | spl2_268
    | spl2_286
    | spl2_386 ),
    inference(sat_conversion,[],[f67348]) ).

cnf(s6947,plain,
    ( ~ spl2_313
    | spl2_391
    | spl2_392 ),
    inference(sat_conversion,[],[f67461]) ).

cnf(s6949,plain,
    ( spl2_278
    | ~ spl2_313
    | ~ spl2_422
    | spl2_423 ),
    inference(sat_conversion,[],[f67465]) ).

cnf(s6952,plain,
    ( ~ spl2_266
    | ~ spl2_288
    | ~ spl2_386 ),
    inference(sat_conversion,[],[f67487]) ).

cnf(s6954,plain,
    ( ~ spl2_94
    | ~ spl2_96
    | ~ spl2_292
    | ~ spl2_295 ),
    inference(sat_conversion,[],[f67491]) ).

cnf(s6960,plain,
    ( ~ spl2_89
    | spl2_393
    | spl2_494
    | ~ spl2_676 ),
    inference(sat_conversion,[],[f67499]) ).

cnf(s6964,plain,
    ( spl2_245
    | spl2_286
    | spl2_385 ),
    inference(sat_conversion,[],[f67537]) ).

cnf(s6974,plain,
    ( spl2_392
    | ~ spl2_411
    | spl2_479 ),
    inference(sat_conversion,[],[f67634]) ).

cnf(s6980,plain,
    ( spl2_67
    | ~ spl2_343
    | spl2_383
    | ~ spl2_384 ),
    inference(sat_conversion,[],[f67689]) ).

cnf(s6984,plain,
    ( ~ spl2_262
    | spl2_292
    | ~ spl2_362
    | spl2_461 ),
    inference(sat_conversion,[],[f67751]) ).

cnf(s6995,plain,
    ( ~ spl2_273
    | ~ spl2_274
    | ~ spl2_393
    | ~ spl2_399 ),
    inference(sat_conversion,[],[f67876]) ).

cnf(s6999,plain,
    ( ~ spl2_313
    | spl2_346
    | ~ spl2_347
    | spl2_395 ),
    inference(sat_conversion,[],[f67882]) ).

cnf(s7002,plain,
    ( ~ spl2_97
    | ~ spl2_676 ),
    inference(sat_conversion,[],[f67900]) ).

cnf(s7003,plain,
    ( spl2_73
    | ~ spl2_97 ),
    inference(sat_conversion,[],[f67903]) ).

cnf(s7005,plain,
    ( spl2_27
    | spl2_347
    | spl2_349 ),
    inference(sat_conversion,[],[f67921]) ).

cnf(s7012,plain,
    ( spl2_19
    | spl2_286
    | ~ spl2_343
    | spl2_386 ),
    inference(sat_conversion,[],[f68015]) ).

cnf(s7016,plain,
    ( spl2_282
    | spl2_295
    | spl2_384 ),
    inference(sat_conversion,[],[f68040]) ).

cnf(s7022,plain,
    ( ~ spl2_259
    | spl2_392
    | spl2_425 ),
    inference(sat_conversion,[],[f68174]) ).

cnf(s7024,plain,
    ( ~ spl2_259
    | spl2_292
    | ~ spl2_422
    | spl2_650 ),
    inference(sat_conversion,[],[f68181]) ).

cnf(s7025,plain,
    ( ~ spl2_259
    | ~ spl2_411
    | ~ spl2_448
    | ~ spl2_676 ),
    inference(sat_conversion,[],[f68183]) ).

cnf(s7029,plain,
    ( ~ spl2_40
    | spl2_286
    | ~ spl2_289
    | ~ spl2_294 ),
    inference(sat_conversion,[],[f68188]) ).

cnf(s7033,plain,
    ( spl2_57
    | ~ spl2_58
    | spl2_247
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f68199]) ).

cnf(s7034,plain,
    ( ~ spl2_14
    | spl2_64
    | spl2_67
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f68200]) ).

cnf(s7035,plain,
    ( ~ spl2_14
    | spl2_67
    | ~ spl2_82
    | spl2_204 ),
    inference(sat_conversion,[],[f68201]) ).

cnf(s7036,plain,
    ( ~ spl2_8
    | ~ spl2_14
    | spl2_19
    | ~ spl2_40 ),
    inference(sat_conversion,[],[f68204]) ).

cnf(s7037,plain,
    ( spl2_4
    | ~ spl2_21
    | ~ spl2_33
    | spl2_128 ),
    inference(sat_conversion,[],[f68206]) ).

cnf(s7038,plain,
    ( spl2_19
    | ~ spl2_277
    | ~ spl2_362
    | spl2_363 ),
    inference(sat_conversion,[],[f68207]) ).

cnf(s7039,plain,
    ( spl2_19
    | ~ spl2_411
    | ~ spl2_422
    | spl2_496 ),
    inference(sat_conversion,[],[f68208]) ).

cnf(s7043,plain,
    ( ~ spl2_63
    | spl2_64
    | spl2_273
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f68214]) ).

cnf(s7044,plain,
    ( spl2_289
    | ~ spl2_295
    | spl2_341 ),
    inference(sat_conversion,[],[f68215]) ).

cnf(s7045,plain,
    ( spl2_254
    | spl2_286
    | spl2_448 ),
    inference(sat_conversion,[],[f68216]) ).

cnf(s7046,plain,
    ( spl2_67
    | spl2_346
    | ~ spl2_347
    | ~ spl2_362 ),
    inference(sat_conversion,[],[f68217]) ).

cnf(s7047,plain,
    ( spl2_57
    | ~ spl2_58
    | ~ spl2_82
    | spl2_116 ),
    inference(sat_conversion,[],[f68218]) ).

cnf(s7049,plain,
    ( spl2_68
    | ~ spl2_82
    | spl2_126 ),
    inference(sat_conversion,[],[f68220]) ).

cnf(s7052,plain,
    ( ~ spl2_60
    | spl2_61
    | spl2_268
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f68227]) ).

cnf(s7054,plain,
    ( spl2_4
    | ~ spl2_58
    | spl2_67
    | ~ spl2_82
    | spl2_116 ),
    inference(sat_conversion,[],[f68232]) ).

cnf(s7055,plain,
    ( spl2_68
    | ~ spl2_82
    | spl2_85
    | spl2_116 ),
    inference(sat_conversion,[],[f68233]) ).

cnf(s7058,plain,
    ( ~ spl2_58
    | spl2_67
    | spl2_247
    | spl2_278
    | ~ spl2_347 ),
    inference(sat_conversion,[],[f68237]) ).

cnf(s7075,plain,
    ( ~ spl2_19
    | spl2_269
    | ~ spl2_292
    | spl2_597 ),
    inference(sat_conversion,[],[f68388]) ).

cnf(s7081,plain,
    ( spl2_116
    | ~ spl2_289
    | ~ spl2_297
    | spl2_579 ),
    inference(sat_conversion,[],[f68446]) ).

cnf(s7084,plain,
    ( ~ spl2_389
    | spl2_400
    | spl2_401 ),
    inference(sat_conversion,[],[f68454]) ).

cnf(s7085,plain,
    ( ~ spl2_19
    | ~ spl2_393
    | spl2_433
    | spl2_470 ),
    inference(sat_conversion,[],[f68461]) ).

cnf(s7101,plain,
    ( spl2_245
    | spl2_395
    | spl2_437 ),
    inference(sat_conversion,[],[f68701]) ).

cnf(s7107,plain,
    ( ~ spl2_77
    | ~ spl2_254
    | spl2_510 ),
    inference(sat_conversion,[],[f68784]) ).

cnf(s7108,plain,
    ( ~ spl2_77
    | ~ spl2_392
    | spl2_412 ),
    inference(sat_conversion,[],[f68785]) ).

cnf(s7111,plain,
    ( spl2_254
    | spl2_295
    | spl2_599 ),
    inference(rat,[],[s3775,s3878]) ).

cnf(s7117,plain,
    ( ~ spl2_269
    | ~ spl2_294
    | spl2_295
    | ~ spl2_620 ),
    inference(rat,[],[s3714,s3878]) ).

cnf(s7122,plain,
    ( spl2_255
    | ~ spl2_269
    | spl2_295
    | ~ spl2_525 ),
    inference(rat,[],[s3106,s3878]) ).

cnf(s7127,plain,
    ( spl2_255
    | ~ spl2_289
    | spl2_295
    | ~ spl2_317 ),
    inference(rat,[],[s3043,s3878]) ).

cnf(s7128,plain,
    ( ~ spl2_124
    | ~ spl2_289
    | spl2_295
    | ~ spl2_297 ),
    inference(rat,[],[s3039,s3878]) ).

cnf(s7129,plain,
    ( spl2_68
    | ~ spl2_269
    | spl2_295
    | ~ spl2_297
    | ~ spl2_524 ),
    inference(rat,[],[s3035,s3878]) ).

cnf(s7130,plain,
    ( ~ spl2_115
    | ~ spl2_266
    | ~ spl2_289
    | spl2_295
    | ~ spl2_347 ),
    inference(rat,[],[s3029,s3878]) ).

cnf(s7131,plain,
    ( ~ spl2_259
    | spl2_295
    | spl2_383
    | spl2_395 ),
    inference(rat,[],[s3026,s3878]) ).

cnf(s7132,plain,
    ( ~ spl2_262
    | spl2_295
    | spl2_349
    | spl2_383 ),
    inference(rat,[],[s3024,s3878]) ).

cnf(s7134,plain,
    ( spl2_254
    | ~ spl2_266
    | spl2_295
    | ~ spl2_520 ),
    inference(rat,[],[s3018,s3878]) ).

cnf(s7149,plain,
    ( ~ spl2_12
    | ~ spl2_24
    | spl2_73 ),
    inference(rat,[],[s2282,s3878]) ).

cnf(s7150,plain,
    ( ~ spl2_116
    | spl2_117
    | ~ spl2_191
    | ~ spl2_247
    | spl2_273 ),
    inference(rat,[],[s2054,s3878]) ).

cnf(s7151,plain,
    ( spl2_68
    | spl2_73
    | ~ spl2_120 ),
    inference(rat,[],[s1997,s3878]) ).

cnf(s7157,plain,
    ( ~ spl2_58
    | ~ spl2_76
    | spl2_78
    | ~ spl2_92 ),
    inference(rat,[],[s1706,s3878]) ).

cnf(s7162,plain,
    ( spl2_63
    | spl2_73 ),
    inference(rat,[],[s1508,s3878]) ).

cnf(s7163,plain,
    ( spl2_106
    | ~ spl2_266
    | ~ spl2_386 ),
    inference(rat,[],[s1467,s3878]) ).

cnf(s7169,plain,
    ( ~ spl2_12
    | ~ spl2_63
    | spl2_73
    | ~ spl2_82 ),
    inference(rat,[],[s1363,s3878]) ).

cnf(s7172,plain,
    ( spl2_19
    | spl2_46
    | spl2_49
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(rat,[],[s988,s3878]) ).

cnf(s7174,plain,
    ( spl2_19
    | ~ spl2_24
    | spl2_46
    | ~ spl2_207
    | ~ spl2_282 ),
    inference(rat,[],[s986,s3878]) ).

cnf(s7178,plain,
    ( ~ spl2_15
    | spl2_19
    | spl2_46
    | ~ spl2_282 ),
    inference(rat,[],[s977,s3878]) ).

cnf(s7179,plain,
    ( ~ spl2_39
    | ~ spl2_51
    | ~ spl2_67
    | spl2_74
    | spl2_78
    | spl2_141 ),
    inference(rat,[],[s940,s3878]) ).

cnf(s7180,plain,
    ( spl2_268
    | spl2_277 ),
    inference(rat,[],[s896,s3878]) ).

cnf(s7186,plain,
    ( ~ spl2_20
    | spl2_106
    | ~ spl2_115 ),
    inference(rat,[],[s825,s3878]) ).

cnf(s7187,plain,
    ( ~ spl2_38
    | ~ spl2_115
    | spl2_268
    | ~ spl2_321 ),
    inference(rat,[],[s824,s3878]) ).

cnf(s7199,plain,
    ( spl2_78
    | ~ spl2_85
    | spl2_109
    | ~ spl2_253 ),
    inference(rat,[],[s730,s3878]) ).

cnf(s7203,plain,
    ( spl2_315
    | spl2_316 ),
    inference(rat,[],[s692,s3878]) ).

cnf(s7204,plain,
    ( spl2_313
    | spl2_314 ),
    inference(rat,[],[s691,s3878]) ).

cnf(s7213,plain,
    ( spl2_78
    | ~ spl2_85
    | spl2_109
    | ~ spl2_245 ),
    inference(rat,[],[s582,s3878]) ).

cnf(s7241,plain,
    ( ~ spl2_115
    | spl2_601
    | ~ spl2_288
    | spl2_198
    | ~ spl2_76
    | ~ spl2_73
    | spl2_27
    | ~ spl2_24 ),
    inference(rat,[],[s3445,s7005,s3229,s3404,s3032]) ).

cnf(s7242,plain,
    ( spl2_115
    | spl2_105
    | ~ spl2_78
    | spl2_57
    | ~ spl2_58
    | spl2_117
    | ~ spl2_116 ),
    inference(rat,[],[s799,s7033,s4823,s2053]) ).

cnf(s7243,plain,
    ( ~ spl2_288
    | ~ spl2_115
    | spl2_198
    | ~ spl2_76
    | ~ spl2_73
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24 ),
    inference(rat,[],[s7241,s3389]) ).

cnf(s7246,plain,
    ( ~ spl2_247
    | ~ spl2_273
    | spl2_419
    | ~ spl2_116 ),
    inference(rat,[],[s930,s3100]) ).

cnf(s7247,plain,
    ( ~ spl2_115
    | spl2_57
    | ~ spl2_58
    | ~ spl2_73
    | spl2_601
    | spl2_27
    | ~ spl2_24
    | spl2_196
    | spl2_419
    | ~ spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s1044,s3494,s5758,s5580,s7034,s5568,s3229,s5178,s3445,s7005,s3136,s7033,s7246,s3032]) ).

cnf(s7248,plain,
    ( spl2_57
    | spl2_68
    | spl2_601
    | spl2_245
    | spl2_27
    | ~ spl2_24
    | spl2_196
    | spl2_419
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s3445,s3229,s7005,s1957,s7033,s4266,s2053,s6910,s7247,s3770,s4264,s43]) ).

cnf(s7252,plain,
    ( ~ spl2_68
    | spl2_419
    | ~ spl2_39
    | ~ spl2_116 ),
    inference(rat,[],[s2280,s4098,s2802,s2005,s3748,s91,s5976,s5806,s3770,s13,s1427,s4622]) ).

cnf(s7253,plain,
    ( spl2_198
    | ~ spl2_608
    | ~ spl2_321
    | ~ spl2_115
    | ~ spl2_288
    | spl2_74
    | ~ spl2_73
    | spl2_68
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24
    | ~ spl2_19 ),
    inference(rat,[],[s6581,s1942,s6515,s1156,s5643,s337,s6531,s5580,s3322,s3445,s3494,s3229,s7243,s1512,s43,s3032,s3389]) ).

cnf(s7254,plain,
    ( ~ spl2_115
    | ~ spl2_288
    | spl2_74
    | ~ spl2_73
    | spl2_68
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24
    | spl2_419
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s5758,s1044,s7034,s3494,s5178,s3445,s5580,s3441,s5568,s7253,s3136,s929,s7246,s3032,s3601,s43,s694,s3389]) ).

cnf(s7255,plain,
    ( ~ spl2_288
    | spl2_245
    | spl2_74
    | spl2_68
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24
    | spl2_419
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s6581,s6515,s1203,s1156,s1052,s5643,s6764,s6531,s4497,s3322,s3445,s3494,s3229,s1512,s1957,s929,s4266,s6442,s2053,s6910,s7254,s7248,s3389,s694,s3601,s3770,s4264,s43]) ).

cnf(s7256,plain,
    ( spl2_198
    | ~ spl2_608
    | ~ spl2_273
    | spl2_247
    | spl2_288
    | spl2_74
    | ~ spl2_73
    | spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s3332,s6748,s1942,s1052,s1156,s6764,s5643,s7033,s337,s6531,s799,s5580,s3322,s3445,s3494,s3229,s1512,s43,s929]) ).

cnf(s7257,plain,
    ( ~ spl2_115
    | ~ spl2_273
    | spl2_247
    | spl2_288
    | spl2_74
    | ~ spl2_73
    | spl2_68
    | spl2_27
    | ~ spl2_24
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s7034,s5758,s5178,s3445,s1044,s7005,s3494,s1601,s5580,s629,s5568,s7256,s3136,s3601,s43,s929]) ).

cnf(s7258,plain,
    ( spl2_245
    | spl2_27
    | ~ spl2_19
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s3332,s1203,s6748,s1052,s6764,s7033,s799,s3322,s3445,s3494,s3229,s1512,s1957,s6910,s7257,s4266,s3036,s4133,s7255,s5806,s3770,s13,s43,s6109,s4264,s7252,s1427,s4622,s3891,s3878]) ).

cnf(s7259,plain,
    ( ~ spl2_19
    | ~ spl2_39
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s4133,s7254,s3036,s2053,s557,s7258,s6109,s4264,s7252,s13,s125,s1427,s5806,s4622,s3770,s3891,s3878]) ).

cnf(s7260,plain,
    ( spl2_419
    | spl2_105
    | spl2_68
    | spl2_115
    | ~ spl2_114
    | ~ spl2_128
    | ~ spl2_51
    | spl2_27
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s614,s7179,s214,s1156,s222,s5643,s6819,s6531,s4497,s3322,s3445,s3494,s3229,s1512,s1957,s6109,s6442,s929,s4266,s1427,s2053,s4622,s3770,s874,s4264,s43]) ).

cnf(s7261,plain,
    ( spl2_247
    | ~ spl2_86
    | spl2_68
    | ~ spl2_107
    | ~ spl2_114
    | ~ spl2_128
    | ~ spl2_51
    | spl2_27
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s614,s7179,s214,s1156,s222,s5643,s6819,s6531,s6109,s4497,s3321,s3445,s188,s3494,s3229,s1512,s1957,s6442,s929,s4266,s4264,s43,s165,s2410]) ).

cnf(s7262,plain,
    ( spl2_68
    | spl2_115
    | ~ spl2_288
    | ~ spl2_128
    | ~ spl2_21
    | ~ spl2_51
    | spl2_27
    | ~ spl2_33
    | ~ spl2_39
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s1333,s1156,s3099,s4097,s7180,s5619,s6832,s3321,s3445,s3494,s3229,s1512,s1957,s930,s6642,s6341,s6208,s2977,s7261,s7260,s165,s6907,s5726,s43,s4264,s2410,s694,s874]) ).

cnf(s7263,plain,
    ( spl2_255
    | spl2_74
    | spl2_322
    | spl2_198
    | ~ spl2_321
    | ~ spl2_273
    | ~ spl2_7 ),
    inference(rat,[],[s6125,s3439,s3426,s3767,s5451]) ).

cnf(s7269,plain,
    ( ~ spl2_265
    | spl2_622
    | spl2_179
    | ~ spl2_485
    | ~ spl2_268
    | ~ spl2_343
    | ~ spl2_21
    | spl2_19 ),
    inference(rat,[],[s5063,s1109,s7012,s1248,s4328]) ).

cnf(s7270,plain,
    ( spl2_247
    | ~ spl2_343
    | ~ spl2_73
    | spl2_67
    | ~ spl2_68
    | spl2_115
    | ~ spl2_288
    | ~ spl2_21
    | spl2_27
    | spl2_19
    | ~ spl2_39
    | spl2_15
    | ~ spl2_7 ),
    inference(rat,[],[s906,s7012,s5982,s6952,s6792,s6125,s7269,s5275,s4541,s7263,s3571,s88,s2569,s1113,s6907,s6819,s5028,s5992,s6109,s5643,s799,s3110,s885,s3445,s3494,s1342,s1549,s3229,s1512,s7180,s1957,s6444,s929,s4266,s187,s874,s1156]) ).

cnf(s7271,plain,
    ( ~ spl2_284
    | ~ spl2_265
    | spl2_198
    | ~ spl2_273 ),
    inference(rat,[],[s3439,s3426]) ).

cnf(s7272,plain,
    ( ~ spl2_496
    | ~ spl2_271
    | ~ spl2_265
    | ~ spl2_288
    | ~ spl2_21 ),
    inference(rat,[],[s3881,s4357,s2962,s2909,s3878]) ).

cnf(s7273,plain,
    ( ~ spl2_260
    | spl2_496
    | ~ spl2_300
    | ~ spl2_286
    | spl2_179
    | ~ spl2_94
    | spl2_19 ),
    inference(rat,[],[s6383,s2018,s1142,s7039,s1208,s6704]) ).

cnf(s7274,plain,
    ( ~ spl2_422
    | ~ spl2_259
    | spl2_496
    | ~ spl2_289
    | ~ spl2_271
    | ~ spl2_265
    | spl2_179
    | ~ spl2_86
    | ~ spl2_347
    | spl2_278
    | spl2_19
    | ~ spl2_5 ),
    inference(rat,[],[s6949,s3431,s3881,s4624,s2018,s4357,s1142,s1063,s7039,s3878]) ).

cnf(s7275,plain,
    ( ~ spl2_393
    | spl2_439
    | ~ spl2_594
    | ~ spl2_73
    | ~ spl2_419
    | ~ spl2_204 ),
    inference(rat,[],[s5952,s4664,s5965]) ).

cnf(s7276,plain,
    ( ~ spl2_265
    | spl2_376
    | ~ spl2_422
    | spl2_179
    | ~ spl2_86
    | ~ spl2_94
    | spl2_74
    | spl2_76
    | ~ spl2_347
    | spl2_278
    | spl2_292
    | spl2_245
    | spl2_115
    | ~ spl2_288
    | ~ spl2_21
    | spl2_19
    | ~ spl2_5 ),
    inference(rat,[],[s7274,s6122,s6781,s7273,s2990,s7272,s2887,s6644,s6124,s6984,s5982,s6293,s3182,s7012,s6357,s1248,s7271,s1194,s1052,s1957,s6642,s6208,s187,s874]) ).

cnf(s7277,plain,
    ( spl2_376
    | ~ spl2_422
    | ~ spl2_86
    | ~ spl2_94
    | ~ spl2_96
    | spl2_74
    | spl2_76
    | ~ spl2_347
    | spl2_278
    | spl2_292
    | spl2_245
    | spl2_115
    | ~ spl2_288
    | ~ spl2_21
    | spl2_19
    | ~ spl2_5 ),
    inference(rat,[],[s906,s7012,s5982,s6952,s6792,s6125,s7276,s1194,s1113]) ).

cnf(s7278,plain,
    ( ~ spl2_73
    | ~ spl2_68
    | spl2_115
    | ~ spl2_288
    | ~ spl2_21
    | ~ spl2_204
    | spl2_27
    | spl2_19
    | ~ spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s6125,s6792,s7271,s5982,s5451,s1154,s5275,s7277,s1208,s7275,s2569,s280,s6907,s91,s6819,s1873,s5028,s6645,s799,s3110,s3445,s3494,s3229,s1512,s1957,s6642,s6208,s2977,s7270,s1194,s4096,s578,s710,s2180,s4008,s2576,s4098,s187,s874,s1156,s2920,s7252]) ).

cnf(s7279,plain,
    ( spl2_284
    | spl2_559
    | spl2_76
    | ~ spl2_63
    | spl2_67
    | ~ spl2_419
    | ~ spl2_21
    | spl2_19
    | ~ spl2_7 ),
    inference(rat,[],[s4050,s6293,s6980,s7012,s1194,s5275,s1462,s2760,s5451,s1248,s3878]) ).

cnf(s7280,plain,
    ( ~ spl2_496
    | spl2_198
    | ~ spl2_273
    | ~ spl2_288
    | ~ spl2_21 ),
    inference(rat,[],[s3517,s3881,s3451,s2962,s2909,s3878]) ).

cnf(s7281,plain,
    ( spl2_393
    | spl2_622
    | ~ spl2_64
    | ~ spl2_383
    | ~ spl2_286
    | spl2_496
    | spl2_74
    | spl2_245
    | ~ spl2_96
    | ~ spl2_86
    | ~ spl2_63
    | spl2_67
    | spl2_19 ),
    inference(rat,[],[s6721,s1486,s4125,s2266,s6796,s6127,s7101,s6718,s4624,s1016,s2018,s5416,s1142,s4462,s7039,s6354,s1208,s187,s1113,s222]) ).

cnf(s7282,plain,
    ( ~ spl2_393
    | ~ spl2_274
    | ~ spl2_273
    | spl2_439
    | ~ spl2_419
    | ~ spl2_204 ),
    inference(rat,[],[s5952,s4664,s6995]) ).

cnf(s7283,plain,
    ( ~ spl2_392
    | ~ spl2_396
    | spl2_433
    | ~ spl2_86 ),
    inference(rat,[],[s2276,s6721]) ).

cnf(s7284,plain,
    ( ~ spl2_295
    | spl2_386
    | spl2_185
    | ~ spl2_94
    | ~ spl2_96
    | spl2_76
    | spl2_19 ),
    inference(rat,[],[s7012,s1194,s6293,s6954,s1154]) ).

cnf(s7285,plain,
    ( ~ spl2_343
    | spl2_295
    | spl2_496
    | spl2_386
    | ~ spl2_266
    | ~ spl2_273
    | spl2_282
    | spl2_406
    | spl2_74
    | spl2_245
    | spl2_439
    | ~ spl2_96
    | ~ spl2_86
    | ~ spl2_63
    | spl2_67
    | ~ spl2_419
    | ~ spl2_128
    | ~ spl2_204
    | spl2_27
    | spl2_19
    | ~ spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s5417,s6127,s7281,s2266,s7034,s7283,s6881,s1142,s4330,s4835,s3096,s7039,s7005,s6354,s1208,s5982,s7282,s6792,s930,s2977,s931,s5334,s2295,s6980,s7012,s187,s4002,s1113,s7016]) ).

cnf(s7286,plain,
    ( ~ spl2_247
    | ~ spl2_292
    | spl2_295
    | spl2_496
    | ~ spl2_273
    | ~ spl2_284
    | spl2_74
    | spl2_245
    | spl2_439
    | spl2_179
    | ~ spl2_86
    | ~ spl2_455
    | ~ spl2_63
    | spl2_67
    | ~ spl2_419
    | spl2_115
    | ~ spl2_204
    | spl2_19
    | ~ spl2_116 ),
    inference(rat,[],[s7131,s6122,s2266,s4371,s3451,s6127,s4125,s4088,s6796,s1734,s7101,s7283,s4624,s2018,s1142,s7039,s6354,s1208,s7282,s930,s2053,s187,s1957,s874]) ).

cnf(s7287,plain,
    ( ~ spl2_273
    | ~ spl2_284
    | spl2_282
    | spl2_406
    | spl2_74
    | spl2_245
    | spl2_439
    | ~ spl2_94
    | spl2_76
    | ~ spl2_86
    | ~ spl2_455
    | ~ spl2_63
    | ~ spl2_419
    | ~ spl2_68
    | spl2_115
    | ~ spl2_288
    | ~ spl2_128
    | ~ spl2_21
    | ~ spl2_204
    | spl2_27
    | spl2_19
    | ~ spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s3321,s5334,s5705,s931,s7286,s5713,s2449,s5520,s1462,s1194,s7285,s7284,s7280,s6952,s6125,s7271,s1957,s874,s2920,s280,s4002,s1113,s6819,s2689,s3224]) ).

cnf(s7288,plain,
    ( ~ spl2_288
    | ~ spl2_21
    | ~ spl2_24
    | ~ spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6208,s2977,s6642,s4266,s7287,s7279,s970,s1234,s1898,s585,s2184,s758,s221,s222,s91,s6819,s2569,s5992,s6907,s5890,s5889,s5894,s7162,s7278,s1156,s2920,s7252,s7262,s3049,s695,s696,s2,s125,s6887,s93,s6884,s7037,s187,s7259,s284,s4121,s3885]) ).

cnf(s7289,plain,
    ( ~ spl2_265
    | spl2_198
    | ~ spl2_343
    | ~ spl2_273
    | spl2_288
    | ~ spl2_21
    | spl2_19
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s4483,s1174,s7012,s5451,s1248,s7271]) ).

cnf(s7290,plain,
    ( ~ spl2_496
    | ~ spl2_269
    | ~ spl2_284
    | spl2_198
    | spl2_74
    | ~ spl2_21 ),
    inference(rat,[],[s6122,s4371,s3451,s4066,s2909]) ).

cnf(s7291,plain,
    ( spl2_76
    | ~ spl2_86
    | ~ spl2_295
    | ~ spl2_266
    | ~ spl2_347
    | spl2_248
    | spl2_282
    | spl2_198
    | ~ spl2_422
    | spl2_292
    | ~ spl2_89
    | ~ spl2_68
    | spl2_74
    | ~ spl2_73
    | ~ spl2_21
    | spl2_27
    | ~ spl2_207
    | spl2_19
    | ~ spl2_39 ),
    inference(rat,[],[s6949,s3881,s3431,s4708,s4624,s2018,s1142,s7039,s7290,s5546,s2678,s2871,s6124,s6775,s6712,s3571,s7180,s6832,s1176,s5713,s2455,s5516,s4623,s1248,s6293,s7284,s1154,s280,s1113,s91,s6819,s1512,s3321,s88,s3878]) ).

cnf(s7292,plain,
    ( ~ spl2_86
    | ~ spl2_295
    | ~ spl2_266
    | ~ spl2_347
    | spl2_248
    | spl2_282
    | spl2_26
    | spl2_198
    | ~ spl2_422
    | spl2_292
    | ~ spl2_89
    | ~ spl2_68
    | spl2_74
    | ~ spl2_73
    | ~ spl2_21
    | spl2_27
    | ~ spl2_207
    | spl2_19
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s4725,s1135,s7012,s6357,s1248,s4042,s337,s6579,s5888,s7291,s187,s1194]) ).

cnf(s7293,plain,
    ( ~ spl2_496
    | ~ spl2_76
    | ~ spl2_78
    | ~ spl2_635
    | ~ spl2_21 ),
    inference(rat,[],[s4040,s4056,s2909,s2079]) ).

cnf(s7294,plain,
    ( spl2_115
    | spl2_292
    | spl2_393
    | spl2_245
    | spl2_67
    | ~ spl2_68
    | spl2_74
    | ~ spl2_273
    | ~ spl2_73
    | spl2_288
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24
    | spl2_19
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s5270,s6724,s3880,s3422,s6960,s3431,s6127,s3217,s6949,s6718,s3881,s5416,s4708,s2018,s1142,s7039,s6354,s7293,s6792,s3571,s7180,s6728,s6645,s1075,s6293,s2447,s2739,s4541,s7012,s6357,s5451,s1248,s1154,s4042,s3970,s337,s6579,s7034,s5758,s7292,s4050,s6980,s2293,s6125,s7289,s799,s3321,s3445,s3494,s952,s3229,s1512,s1344,s1957,s6786,s874,s2,s2410,s187,s302,s284,s1156,s1208,s1194,s3878]) ).

cnf(s7295,plain,
    ( spl2_198
    | ~ spl2_115
    | ~ spl2_343
    | spl2_67
    | spl2_74
    | ~ spl2_273
    | ~ spl2_73
    | spl2_288
    | ~ spl2_21
    | spl2_19
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s4042,s337,s6579,s7134,s7034,s5516,s1169,s5619,s794,s2092,s3321,s6125,s3445,s3494,s7289,s3229,s1512,s284,s2]) ).

cnf(s7296,plain,
    ( ~ spl2_68
    | spl2_74
    | ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73
    | spl2_288
    | ~ spl2_21
    | ~ spl2_24
    | ~ spl2_39
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s2977,s5853,s931,s879,s7174,s5334,s4002,s741,s2092,s1113,s221,s1169,s5758,s7034,s94,s5568,s7295,s7294,s1194,s4096,s7275,s578,s710,s2180,s4008,s2920,s2576,s4098,s302,s125,s6887,s6884,s7037,s187,s7259,s284,s6745,s5865]) ).

cnf(s7297,plain,
    ( ~ spl2_89
    | ~ spl2_614
    | spl2_349
    | spl2_68
    | ~ spl2_419 ),
    inference(rat,[],[s929,s2977,s6531,s4097,s5643,s43,s5619]) ).

cnf(s7298,plain,
    ( ~ spl2_67
    | spl2_105
    | spl2_141
    | spl2_74
    | ~ spl2_51
    | ~ spl2_39
    | ~ spl2_116 ),
    inference(rat,[],[s614,s7179]) ).

cnf(s7299,plain,
    ( spl2_198
    | ~ spl2_89
    | spl2_68
    | ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73 ),
    inference(rat,[],[s7297,s3321,s3445,s3494,s3229,s1512]) ).

cnf(s7300,plain,
    ( spl2_74
    | ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_21
    | ~ spl2_24
    | ~ spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s2977,s5853,s931,s879,s5334,s2092,s4002,s7174,s1169,s1113,s741,s7034,s94,s6910,s578,s5568,s1957,s3064,s7299,s1156,s7298,s165,s6907,s214,s5726,s7296,s2410,s302,s125,s93,s6884,s7037,s187,s7259,s284,s6745,s5865,s7288]) ).

cnf(s7301,plain,
    ( ~ spl2_74
    | spl2_288
    | ~ spl2_24
    | spl2_19
    | ~ spl2_14 ),
    inference(rat,[],[s6863,s1080,s2092,s1868,s1169,s5758,s7034,s6110,s53,s1891]) ).

cnf(s7302,plain,
    ( ~ spl2_265
    | ~ spl2_346
    | spl2_132
    | ~ spl2_343
    | spl2_115
    | spl2_179
    | ~ spl2_268
    | ~ spl2_73
    | spl2_74
    | ~ spl2_21
    | spl2_19
    | ~ spl2_39
    | ~ spl2_7 ),
    inference(rat,[],[s6124,s6775,s6644,s5712,s4358,s5516,s5451,s4541,s7269,s1342]) ).

cnf(s7303,plain,
    ( ~ spl2_86
    | spl2_198
    | ~ spl2_422
    | spl2_292
    | ~ spl2_68
    | spl2_26
    | spl2_115
    | spl2_67
    | spl2_282
    | spl2_179
    | ~ spl2_268
    | spl2_278
    | ~ spl2_73
    | spl2_74
    | ~ spl2_21
    | spl2_27
    | ~ spl2_207
    | spl2_19
    | ~ spl2_39
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s5982,s7292,s6792,s6125,s7302,s7046,s799,s5334,s1685,s4002,s1052,s1750,s1156,s1194,s1512]) ).

cnf(s7304,plain,
    ( ~ spl2_347
    | ~ spl2_78
    | ~ spl2_635
    | spl2_132
    | ~ spl2_343
    | spl2_115
    | spl2_67
    | spl2_179
    | ~ spl2_268
    | spl2_278
    | ~ spl2_111
    | ~ spl2_73
    | spl2_74
    | ~ spl2_21
    | spl2_19
    | ~ spl2_39
    | ~ spl2_7 ),
    inference(rat,[],[s4042,s5982,s1556,s6792,s6125,s7302,s7046,s1052]) ).

cnf(s7305,plain,
    ( spl2_494
    | ~ spl2_105
    | ~ spl2_78
    | spl2_393
    | spl2_67 ),
    inference(rat,[],[s4056,s1730,s1086,s6117,s6796,s6960,s1156,s1208]) ).

cnf(s7306,plain,
    ( ~ spl2_265
    | ~ spl2_396
    | ~ spl2_463
    | ~ spl2_105
    | ~ spl2_78
    | ~ spl2_635
    | ~ spl2_61
    | ~ spl2_343
    | ~ spl2_422
    | spl2_115
    | spl2_67
    | spl2_282
    | spl2_179
    | ~ spl2_268
    | spl2_74
    | ~ spl2_21
    | spl2_19
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s2266,s1730,s6980,s4055,s7016,s6002,s4290,s4042,s6122,s6127,s2449,s5451,s6280,s5417,s4541,s4782,s2386,s7269,s4784,s1732,s874,s1342]) ).

cnf(s7307,plain,
    ( ~ spl2_316
    | ~ spl2_396
    | ~ spl2_463
    | spl2_433
    | ~ spl2_268 ),
    inference(rat,[],[s3111,s5423,s6724]) ).

cnf(s7308,plain,
    ( spl2_198
    | spl2_292
    | spl2_393
    | ~ spl2_68
    | spl2_26
    | spl2_115
    | spl2_67
    | spl2_282
    | spl2_406
    | spl2_179
    | ~ spl2_268
    | spl2_278
    | ~ spl2_111
    | ~ spl2_73
    | spl2_74
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24
    | spl2_19
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s5416,s5417,s6718,s6127,s3422,s3880,s7307,s7012,s4046,s4042,s1556,s6792,s6125,s7306,s1142,s3096,s7039,s6354,s7293,s5816,s1108,s4823,s7005,s7304,s3970,s337,s6579,s7034,s5028,s5758,s73,s7303,s1512,s2,s187,s302,s284,s1156,s1208,s1194,s3878]) ).

cnf(s7309,plain,
    ( ~ spl2_68
    | spl2_439
    | spl2_26
    | spl2_115
    | spl2_67
    | spl2_282
    | spl2_406
    | spl2_253
    | spl2_179
    | ~ spl2_268
    | spl2_278
    | ~ spl2_111
    | ~ spl2_419
    | ~ spl2_73
    | spl2_74
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24
    | spl2_19
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s442,s3073,s5516,s6650,s6125,s7302,s7046,s6434,s799,s1044,s1685,s5758,s7034,s5568,s7308,s1194,s4096,s7275,s4098,s6887,s284,s1052,s1750,s3352,s874]) ).

cnf(s7310,plain,
    ( spl2_68
    | spl2_179
    | ~ spl2_268
    | spl2_278
    | spl2_273
    | spl2_27
    | ~ spl2_33
    | spl2_15
    | ~ spl2_14 ),
    inference(rat,[],[s5334,s3321,s4002,s5627,s6907,s6384,s5726,s43]) ).

cnf(s7311,plain,
    ( spl2_115
    | spl2_67
    | spl2_439
    | ~ spl2_68
    | ~ spl2_268
    | spl2_278
    | ~ spl2_111
    | ~ spl2_419
    | ~ spl2_73
    | spl2_288
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24
    | spl2_19
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1624,s7309,s1342,s7301,s2376,s1243,s726,s4121,s3885,s7174,s4025,s4021,s6745,s5865,s4133,s302,s284,s3878]) ).

cnf(s7312,plain,
    ( spl2_284
    | ~ spl2_265
    | ~ spl2_343
    | ~ spl2_268
    | ~ spl2_113
    | ~ spl2_21
    | spl2_19
    | ~ spl2_39
    | ~ spl2_7 ),
    inference(rat,[],[s4820,s4541,s7012,s5451,s1248]) ).

cnf(s7313,plain,
    ( spl2_496
    | ~ spl2_346
    | ~ spl2_86
    | spl2_393
    | spl2_406
    | ~ spl2_268
    | spl2_19 ),
    inference(rat,[],[s3880,s3992,s7307,s7283,s1142,s3096,s7039,s6354,s187,s1208,s3878]) ).

cnf(s7314,plain,
    ( ~ spl2_284
    | ~ spl2_496
    | ~ spl2_346
    | spl2_198
    | spl2_292
    | ~ spl2_268
    | ~ spl2_73
    | spl2_74
    | ~ spl2_21
    | ~ spl2_207 ),
    inference(rat,[],[s2455,s2871,s4623,s2678,s2680,s5546,s2887,s6124,s6775,s5712,s7290,s5516,s1512]) ).

cnf(s7315,plain,
    ( spl2_284
    | ~ spl2_115
    | ~ spl2_343
    | ~ spl2_268
    | spl2_74
    | ~ spl2_113
    | ~ spl2_21
    | spl2_19
    | ~ spl2_39
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s6125,s7312,s794]) ).

cnf(s7316,plain,
    ( ~ spl2_86
    | spl2_198
    | ~ spl2_284
    | spl2_67
    | spl2_393
    | spl2_292
    | spl2_406
    | spl2_352
    | ~ spl2_268
    | ~ spl2_362
    | ~ spl2_73
    | spl2_74
    | ~ spl2_21
    | ~ spl2_207
    | spl2_19 ),
    inference(rat,[],[s7314,s7313,s7046,s799,s1685]) ).

cnf(s7317,plain,
    ( spl2_86
    | ~ spl2_284
    | ~ spl2_115
    | spl2_67
    | spl2_393
    | ~ spl2_343
    | spl2_282
    | spl2_406
    | spl2_179
    | ~ spl2_268
    | spl2_278
    | ~ spl2_247
    | ~ spl2_73
    | spl2_74
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24
    | spl2_19
    | spl2_4 ),
    inference(rat,[],[s4332,s6882,s1102,s6127,s1853,s3422,s5964,s3880,s3881,s7307,s4708,s2018,s1142,s3096,s7039,s6354,s7293,s5816,s5069,s7005,s2635,s5982,s2293,s6792,s6125,s5063,s1109,s5490,s6980,s7016,s4042,s337,s6579,s7034,s5758,s73,s2,s187,s1208,s5853,s284,s3878]) ).

cnf(s7318,plain,
    ( spl2_67
    | spl2_439
    | ~ spl2_68
    | ~ spl2_268
    | ~ spl2_247
    | ~ spl2_111
    | ~ spl2_419
    | ~ spl2_73
    | spl2_288
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24
    | spl2_19
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s5568,s6434,s7316,s1685,s7317,s7315,s5853,s7311,s2,s865,s7301,s1052,s2977,s1750,s2376,s1243,s7174,s302,s1194,s4096,s726,s4025,s4021,s6745,s5865,s4133,s4121,s3885,s7275,s4098,s6887,s284,s3878]) ).

cnf(s7319,plain,
    ( spl2_439
    | ~ spl2_68
    | spl2_4
    | ~ spl2_268
    | ~ spl2_247
    | ~ spl2_111
    | ~ spl2_419
    | ~ spl2_73
    | spl2_288
    | ~ spl2_21
    | spl2_27
    | ~ spl2_24
    | spl2_19
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s2920,s7318]) ).

cnf(s7320,plain,
    ( ~ spl2_419
    | ~ spl2_73
    | ~ spl2_21
    | ~ spl2_24
    | ~ spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7319,s2180,s4008,s2576,s7310,s2376,s7180,s860,s1052,s2977,s4266,s807,s7300,s2,s187,s125,s7301,s7288,s7259,s284]) ).

cnf(s7321,plain,
    ( spl2_419
    | spl2_74
    | spl2_288
    | ~ spl2_128
    | ~ spl2_51
    | spl2_27
    | ~ spl2_33
    | ~ spl2_39
    | spl2_15
    | ~ spl2_116 ),
    inference(rat,[],[s6531,s3321,s5643,s5334,s1685,s1156,s4002,s1750,s7298,s2376,s165,s7180,s6907,s6444,s929,s214,s5726,s3036,s7252,s4622,s2410,s4133,s6745,s5865,s3878]) ).

cnf(s7322,plain,
    ( ~ spl2_496
    | spl2_286
    | ~ spl2_386
    | ~ spl2_347
    | spl2_393
    | spl2_198
    | spl2_278
    | ~ spl2_273
    | spl2_406
    | ~ spl2_284
    | spl2_185
    | ~ spl2_86
    | spl2_76
    | ~ spl2_68
    | spl2_74
    | ~ spl2_21
    | ~ spl2_207
    | ~ spl2_116 ),
    inference(rat,[],[s1565,s6127,s6721,s4332,s6117,s6882,s1102,s7025,s1010,s1142,s6265,s2028,s3431,s6949,s7045,s6122,s3881,s4087,s4371,s3517,s3451,s1485,s7290,s2909,s2689,s3224,s1208,s3878]) ).

cnf(s7323,plain,
    ( ~ spl2_347
    | ~ spl2_461
    | spl2_393
    | spl2_198
    | spl2_278
    | ~ spl2_273
    | spl2_406
    | spl2_296
    | ~ spl2_284
    | ~ spl2_86
    | ~ spl2_94
    | ~ spl2_96
    | ~ spl2_89
    | spl2_76
    | ~ spl2_68
    | ~ spl2_63
    | spl2_74
    | ~ spl2_21
    | ~ spl2_207
    | spl2_19
    | ~ spl2_116 ),
    inference(rat,[],[s3517,s3451,s3881,s4125,s6949,s6960,s3431,s6120,s4624,s7283,s2018,s1142,s7039,s6354,s7322,s906,s7284,s1154,s5982,s187,s1113,s280,s1208,s3878]) ).

cnf(s7324,plain,
    ( ~ spl2_343
    | spl2_393
    | spl2_198
    | spl2_278
    | ~ spl2_277
    | ~ spl2_273
    | spl2_406
    | spl2_296
    | ~ spl2_284
    | ~ spl2_86
    | ~ spl2_94
    | spl2_76
    | spl2_67
    | ~ spl2_68
    | ~ spl2_63
    | spl2_74
    | spl2_288
    | ~ spl2_21
    | spl2_27
    | ~ spl2_207
    | spl2_19
    | ~ spl2_116 ),
    inference(rat,[],[s3219,s3881,s6960,s4199,s6120,s1308,s7283,s1142,s7039,s6354,s7290,s4087,s1177,s906,s1154,s4050,s6980,s2293,s6832,s6863,s1078,s2201,s7005,s7323,s6792,s187,s1156,s280,s6819,s2689,s3224,s1208,s6125,s7271,s3878]) ).

cnf(s7325,plain,
    ( ~ spl2_347
    | spl2_417
    | spl2_289
    | ~ spl2_691
    | ~ spl2_496
    | spl2_393
    | spl2_198
    | spl2_278
    | ~ spl2_273
    | spl2_406
    | ~ spl2_284
    | spl2_185
    | ~ spl2_86
    | spl2_76
    | spl2_67
    | ~ spl2_68
    | spl2_74
    | ~ spl2_21
    | ~ spl2_207
    | ~ spl2_116 ),
    inference(rat,[],[s7322,s2140,s6781,s2990,s2887,s6124,s6265,s6775,s3431,s7046,s1052,s7290,s6122,s4371,s6949,s3881,s3517,s3451,s2909,s1208,s3878]) ).

cnf(s7326,plain,
    ( spl2_268
    | ~ spl2_273
    | ~ spl2_284
    | spl2_559
    | ~ spl2_86
    | ~ spl2_455
    | ~ spl2_94
    | spl2_76
    | ~ spl2_68
    | ~ spl2_63
    | ~ spl2_419
    | spl2_288
    | ~ spl2_128
    | ~ spl2_21
    | ~ spl2_24
    | spl2_19
    | spl2_12
    | ~ spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s2887,s2990,s6124,s6781,s6775,s1176,s6712,s6832,s3321,s6863,s1078,s7005,s7325,s2040,s6002,s6122,s4371,s3451,s7290,s2909,s1735,s5712,s7286,s2449,s5520,s6954,s1462,s1194,s7324,s2546,s6125,s7271,s7282,s1957,s2180,s874,s4008,s5853,s1052,s930,s423,s2977,s931,s879,s6761,s6887,s7301,s1156,s2920,s1113,s280,s2689,s3224,s585,s492,s1243,s726,s4121,s3885,s7174,s758,s221,s6745,s5865,s6819,s125,s302]) ).

cnf(s7327,plain,
    ( spl2_393
    | spl2_198
    | spl2_278
    | ~ spl2_268
    | ~ spl2_273
    | spl2_406
    | spl2_296
    | ~ spl2_284
    | ~ spl2_86
    | ~ spl2_94
    | ~ spl2_96
    | ~ spl2_89
    | spl2_76
    | ~ spl2_68
    | ~ spl2_63
    | spl2_74
    | ~ spl2_21
    | ~ spl2_207
    | spl2_19
    | ~ spl2_116 ),
    inference(rat,[],[s7134,s6954,s4087,s1194,s7290,s6792,s7313,s7323,s2689,s3224,s799,s5619,s1685,s1750,s6712,s3321,s5334,s4002,s1113,s6125,s7271]) ).

cnf(s7328,plain,
    ( ~ spl2_273
    | ~ spl2_284
    | ~ spl2_43
    | spl2_559
    | ~ spl2_86
    | ~ spl2_455
    | ~ spl2_94
    | spl2_76
    | ~ spl2_68
    | ~ spl2_63
    | spl2_97
    | ~ spl2_419
    | spl2_288
    | ~ spl2_128
    | ~ spl2_21
    | ~ spl2_24
    | spl2_19
    | spl2_12
    | ~ spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s6074,s3881,s929,s3517,s3451,s912,s5952,s7282,s4664,s7327,s2189,s1957,s95,s874,s5643,s2636,s2092,s1685,s5334,s1750,s3571,s7326,s6887,s7301,s1156,s2920,s4002,s1113,s492,s1243,s302,s726,s758,s6819,s125,s4121,s3885,s637,s1184,s221,s6745,s5865,s3878]) ).

cnf(s7329,plain,
    ( ~ spl2_21
    | ~ spl2_24
    | ~ spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7180,s5334,s860,s3321,s1052,s6712,s2977,s1640,s4266,s7328,s4002,s7279,s1113,s88,s2569,s6907,s5889,s5894,s91,s6819,s1156,s5992,s2920,s5890,s4264,s7162,s7003,s7320,s7321,s7301,s7288,s7037,s2,s187,s125,s93,s6884,s7259,s284]) ).

cnf(s7330,plain,
    ( ~ spl2_273
    | ~ spl2_107
    | ~ spl2_288
    | ~ spl2_73
    | ~ spl2_26 ),
    inference(rat,[],[s6492,s799,s73,s3110,s7180,s3445,s188,s3494,s1549,s3229,s1512,s1957,s885]) ).

cnf(s7331,plain,
    ( ~ spl2_86
    | spl2_196
    | ~ spl2_73
    | ~ spl2_26 ),
    inference(rat,[],[s1044,s188]) ).

cnf(s7332,plain,
    ( spl2_461
    | ~ spl2_248
    | spl2_74
    | spl2_292
    | spl2_278
    | spl2_115
    | ~ spl2_73 ),
    inference(rat,[],[s6644,s4796,s6124,s6125,s6984,s6792,s1052,s1194]) ).

cnf(s7333,plain,
    ( spl2_67
    | spl2_74
    | spl2_292
    | spl2_64
    | ~ spl2_60
    | spl2_278
    | spl2_115
    | ~ spl2_288
    | ~ spl2_73
    | ~ spl2_26
    | spl2_19
    | ~ spl2_14 ),
    inference(rat,[],[s2386,s5594,s5516,s1556,s7332,s6858,s1512,s5568,s3110,s7034,s5028,s1156,s807,s7330,s874]) ).

cnf(s7334,plain,
    ( ~ spl2_288
    | ~ spl2_73
    | spl2_253
    | ~ spl2_419
    | ~ spl2_26
    | ~ spl2_24
    | spl2_19
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1891,s7333,s7034,s788,s4096,s4098,s5726,s5758,s73,s7331,s3352,s7180,s860,s1052,s2053,s2977,s4266,s7330,s874,s695,s2,s187,s6887,s6884,s284]) ).

cnf(s7335,plain,
    ( ~ spl2_273
    | spl2_275
    | spl2_74
    | spl2_288
    | ~ spl2_73
    | ~ spl2_419
    | ~ spl2_26
    | ~ spl2_20
    | ~ spl2_24
    | ~ spl2_33
    | spl2_15
    | ~ spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s2977,s5853,s6444,s879,s7180,s5334,s4002,s2092,s1113,s1169,s5758,s7034,s335,s94,s5568,s6858,s6786,s5602]) ).

cnf(s7336,plain,
    ( ~ spl2_86
    | ~ spl2_112
    | ~ spl2_268
    | spl2_352
    | ~ spl2_73
    | ~ spl2_26 ),
    inference(rat,[],[s5568,s6434,s1512,s1685,s188]) ).

cnf(s7337,plain,
    ( spl2_284
    | ~ spl2_61
    | spl2_292
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_362
    | ~ spl2_111
    | spl2_74
    | ~ spl2_73
    | spl2_245
    | ~ spl2_26
    | ~ spl2_207
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s6378,s2887,s3182,s2386,s4799,s6285,s4623,s6124,s4722,s6984,s6125,s1111,s1556,s794,s5451,s1194]) ).

cnf(s7338,plain,
    ( ~ spl2_73
    | spl2_245
    | spl2_253
    | ~ spl2_419
    | ~ spl2_26
    | spl2_27
    | ~ spl2_24
    | spl2_19
    | spl2_121
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s2386,s5594,s5516,s7337,s6858,s1512,s5568,s7034,s5028,s5758,s73,s7336,s1156,s4096,s2920,s4098,s5853,s7310,s1342,s2376,s7180,s860,s1052,s1748,s2977,s4266,s807,s7335,s1624,s1344,s7301,s7334,s2,s187,s302,s6887,s6884,s284,s223,s1751]) ).

cnf(s7340,plain,
    ( spl2_496
    | spl2_505
    | spl2_393
    | spl2_296
    | spl2_406
    | spl2_216
    | ~ spl2_86
    | ~ spl2_89
    | ~ spl2_63
    | ~ spl2_26
    | spl2_19
    | ~ spl2_7 ),
    inference(rat,[],[s4125,s6960,s2326,s6120,s2747,s7283,s5604,s1142,s3096,s7039,s6354,s187,s885,s1208]) ).

cnf(s7341,plain,
    ( spl2_284
    | spl2_393
    | spl2_406
    | spl2_106
    | spl2_216
    | ~ spl2_275
    | ~ spl2_107
    | ~ spl2_288
    | spl2_588
    | ~ spl2_86
    | spl2_73
    | spl2_245
    | ~ spl2_419
    | ~ spl2_26
    | ~ spl2_207
    | ~ spl2_24
    | spl2_19
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s6796,s7101,s4125,s5542,s1296,s6551,s1335,s6122,s3881,s4066,s2962,s7340,s3182,s6378,s6285,s6125,s2709,s7163,s4623,s1120,s7012,s4725,s4050,s6980,s1194,s1111,s1462,s2760,s5451,s618,s7162,s1878,s1156,s2920,s4264,s496,s1908,s885,s1208,s3878]) ).

cnf(s7342,plain,
    ( ~ spl2_288
    | ~ spl2_273
    | ~ spl2_86
    | spl2_73
    | spl2_245
    | spl2_253
    | spl2_439
    | ~ spl2_419
    | ~ spl2_94
    | ~ spl2_26
    | ~ spl2_20
    | ~ spl2_204
    | ~ spl2_207
    | ~ spl2_24
    | spl2_19
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s6952,s5878,s6125,s5594,s7271,s4649,s7341,s7282,s930,s1243,s6444,s1908,s5565,s7180,s6858,s1549,s1957,s6786,s874,s695,s187,s885,s1878,s2679]) ).

cnf(s7343,plain,
    ( ~ spl2_115
    | ~ spl2_86
    | ~ spl2_455
    | spl2_175
    | ~ spl2_419
    | ~ spl2_24
    | ~ spl2_33
    | spl2_15
    | ~ spl2_14 ),
    inference(rat,[],[s2977,s5853,s6444,s879,s7180,s5334,s2092]) ).

cnf(s7344,plain,
    ( ~ spl2_273
    | spl2_115
    | ~ spl2_86
    | spl2_73
    | spl2_245
    | spl2_253
    | spl2_439
    | ~ spl2_419
    | ~ spl2_94
    | ~ spl2_26
    | ~ spl2_20
    | ~ spl2_204
    | ~ spl2_207
    | ~ spl2_24
    | spl2_19
    | spl2_121
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s1344,s6786,s7342]) ).

cnf(s7345,plain,
    ( ~ spl2_24
    | ~ spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7180,s5334,s860,s3321,s1052,s6712,s2977,s1640,s4266,s7344,s7343,s6907,s5889,s5894,s1156,s4001,s2920,s4264,s7162,s7338,s578,s710,s2180,s4622,s4008,s1427,s1426,s1751,s13,s7329,s6884,s6887,s125,s302,s2,s2410,s187,s7259,s284]) ).

cnf(s7346,plain,
    ( ~ spl2_288
    | spl2_27
    | ~ spl2_21
    | ~ spl2_273
    | ~ spl2_73
    | ~ spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s165,s6907,s6582,s5028,s5992,s3110,s337,s3494,s7035,s1156,s3150,s2920,s7278,s7262,s695,s2,s2410,s5868,s3247,s3770,s5806,s7345,s7037,s6899,s187,s6897,s3687,s7259,s284]) ).

cnf(s7347,plain,
    ( ~ spl2_86
    | ~ spl2_96
    | spl2_349
    | ~ spl2_37
    | spl2_278
    | ~ spl2_273
    | ~ spl2_73
    | ~ spl2_419
    | ~ spl2_43
    | ~ spl2_49
    | spl2_121
    | ~ spl2_14 ),
    inference(rat,[],[s874,s1957,s5853,s7299,s6434,s1156,s6565,s1333,s2499,s165]) ).

cnf(s7348,plain,
    ( ~ spl2_21
    | ~ spl2_273
    | ~ spl2_73
    | ~ spl2_39
    | spl2_15
    | spl2_13
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7046,s2920,s6779,s5726,s73,s7347,s6819,s6645,s799,s7038,s3445,s1052,s4078,s2223,s2977,s931,s7180,s5680,s952,s5296,s5540,s5602,s4133,s7346,s119,s6899,s7037,s2410,s187,s7259,s284,s3241,s3771,s3770,s5806,s5509,s5868,s3247,s7345,s3878]) ).

cnf(s7349,plain,
    ( ~ spl2_273
    | ~ spl2_73
    | ~ spl2_39
    | spl2_15
    | spl2_13
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s3110,s6570,s3445,s3494,s7180,s3229,s1512,s1549,s5602,s5571,s2630,s885,s13,s7348,s5509,s5868,s3247,s7345]) ).

cnf(s7350,plain,
    ( spl2_74
    | ~ spl2_343
    | ~ spl2_61
    | ~ spl2_112
    | spl2_132
    | ~ spl2_115
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_21
    | ~ spl2_73
    | ~ spl2_49
    | spl2_19
    | ~ spl2_39
    | spl2_467
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s4244,s6124,s2455,s5546,s6559,s2386,s2678,s5516,s2665,s7315,s2756]) ).

cnf(s7351,plain,
    ( ~ spl2_21
    | ~ spl2_73
    | ~ spl2_39
    | spl2_15
    | spl2_13
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1871,s6113,s7350,s1194,s4096,s5028,s710,s73,s1156,s5853,s5852,s151,s2499,s3150,s2920,s4098,s4025,s5803,s4078,s7310,s2376,s4021,s865,s5296,s6745,s7180,s4133,s5865,s7038,s6208,s119,s6642,s6899,s2,s1256,s2410,s187,s8,s7259,s284,s5868,s3247,s1052,s2977,s4266,s7349,s3770,s5806,s7345,s3878]) ).

cnf(s7352,plain,
    ( ~ spl2_284
    | ~ spl2_61
    | spl2_132
    | ~ spl2_26
    | ~ spl2_73
    | spl2_216 ),
    inference(rat,[],[s2386,s5594,s5516]) ).

cnf(s7353,plain,
    ( ~ spl2_496
    | spl2_185
    | ~ spl2_349
    | ~ spl2_288
    | ~ spl2_76 ),
    inference(rat,[],[s4822,s2028,s3881,s2079,s2962,s3878]) ).

cnf(s7355,plain,
    ( spl2_115
    | spl2_292
    | spl2_461
    | ~ spl2_89
    | spl2_74
    | ~ spl2_60
    | spl2_48
    | spl2_278
    | ~ spl2_73
    | ~ spl2_49 ),
    inference(rat,[],[s6712,s3321,s6779,s7332,s4496]) ).

cnf(s7356,plain,
    ( ~ spl2_395
    | ~ spl2_78
    | ~ spl2_635
    | spl2_185
    | ~ spl2_349
    | ~ spl2_422
    | ~ spl2_115
    | ~ spl2_5 ),
    inference(rat,[],[s5964,s4040,s3881,s4056,s4822,s2028,s3878]) ).

cnf(s7357,plain,
    ( spl2_268
    | ~ spl2_422
    | ~ spl2_115
    | ~ spl2_265
    | spl2_292
    | ~ spl2_255
    | spl2_284
    | ~ spl2_89
    | spl2_282
    | spl2_74
    | ~ spl2_60
    | spl2_245
    | ~ spl2_76
    | spl2_179
    | ~ spl2_94
    | spl2_48
    | spl2_278
    | ~ spl2_247
    | ~ spl2_73
    | spl2_24
    | spl2_19
    | ~ spl2_5 ),
    inference(rat,[],[s1063,s4342,s6122,s1142,s7273,s7039,s2079,s7356,s5153,s4850,s3182,s337,s6579,s7012,s6357,s6197,s4046,s7016,s4821,s5275,s2635,s6480,s3321,s6645,s6712,s7038,s6779,s7180,s187,s3247,s1052,s1194]) ).

cnf(s7358,plain,
    ( ~ spl2_395
    | ~ spl2_289
    | spl2_185
    | ~ spl2_78
    | ~ spl2_635
    | ~ spl2_295
    | ~ spl2_422
    | spl2_74
    | ~ spl2_5 ),
    inference(rat,[],[s1063,s4040,s6122,s4056,s5542,s2028]) ).

cnf(s7359,plain,
    ( spl2_395
    | ~ spl2_347
    | ~ spl2_268
    | ~ spl2_422
    | ~ spl2_76
    | spl2_179
    | spl2_278
    | spl2_19 ),
    inference(rat,[],[s4708,s2018,s3881,s1142,s6949,s7039,s3431,s2079,s3878]) ).

cnf(s7360,plain,
    ( ~ spl2_73
    | ~ spl2_39
    | spl2_15
    | spl2_13
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s2386,s4793,s6559,s7044,s2455,s7358,s7359,s799,s4821,s1154,s3970,s337,s6579,s7034,s418,s4397,s4046,s7012,s6276,s4722,s6027,s2756,s7357,s1208,s7275,s5852,s7355,s6125,s6792,s6124,s1194,s6984,s1111,s1462,s1556,s5451,s7352,s5992,s1156,s2920,s4098,s970,s1888,s5726,s6060,s73,s4854,s188,s578,s2180,s1644,s1512,s4008,s1908,s5571,s2630,s5049,s1427,s1426,s885,s5064,s13,s7351,s1052,s2977,s4266,s807,s7349,s2,s1256,s187,s7259,s284,s3770,s5806,s5509,s5868,s3247,s7345]) ).

cnf(s7361,plain,
    ( spl2_496
    | spl2_393
    | spl2_48
    | ~ spl2_86
    | ~ spl2_455
    | ~ spl2_49
    | spl2_19 ),
    inference(rat,[],[s1734,s4846,s7283,s1142,s7039,s6354,s187,s1208]) ).

cnf(s7362,plain,
    ( ~ spl2_21
    | ~ spl2_274
    | spl2_27
    | spl2_439
    | spl2_198
    | ~ spl2_273
    | ~ spl2_455
    | spl2_73
    | ~ spl2_419
    | ~ spl2_49
    | spl2_19
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s442,s2455,s4087,s6559,s7290,s7361,s7282,s2689,s2665,s7035,s7034,s7279,s3789,s2569,s159,s6907,s6819,s5028,s5992,s5890,s1256,s187,s7162,s3224,s1156,s2920,s4264,s1872]) ).

cnf(s7363,plain,
    ( ~ spl2_295
    | ~ spl2_395
    | spl2_417
    | spl2_399
    | ~ spl2_496
    | ~ spl2_422
    | spl2_74
    | spl2_574
    | ~ spl2_49
    | ~ spl2_5 ),
    inference(rat,[],[s6559,s2455,s4066,s1063,s6122,s5542,s5229]) ).

cnf(s7364,plain,
    ( spl2_284
    | ~ spl2_384
    | ~ spl2_82
    | ~ spl2_419
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s1194,s1462,s6197,s5451]) ).

cnf(s7365,plain,
    ( ~ spl2_284
    | ~ spl2_94
    | ~ spl2_26
    | spl2_198
    | spl2_74
    | ~ spl2_273
    | spl2_216
    | ~ spl2_33 ),
    inference(rat,[],[s6952,s5878,s6125,s5594,s4649,s7271,s5602]) ).

cnf(s7366,plain,
    ( ~ spl2_86
    | ~ spl2_295
    | ~ spl2_288
    | spl2_48
    | ~ spl2_274
    | spl2_439
    | ~ spl2_275
    | ~ spl2_107
    | spl2_74
    | ~ spl2_273
    | ~ spl2_455
    | spl2_67
    | spl2_574
    | ~ spl2_63
    | ~ spl2_419
    | ~ spl2_49
    | spl2_19
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7363,s1086,s2040,s6796,s5952,s4125,s1296,s1335,s3881,s2962,s7361,s1208,s7282,s7035,s3789,s2569,s284,s2,s3878]) ).

cnf(s7367,plain,
    ( ~ spl2_247
    | ~ spl2_362
    | spl2_27
    | spl2_245
    | spl2_439
    | spl2_115
    | ~ spl2_273
    | spl2_73
    | spl2_24
    | spl2_19
    | ~ spl2_39
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1063,s4342,s6122,s1142,s7273,s7039,s7353,s5153,s1208,s4850,s6293,s3182,s7282,s7012,s6357,s7035,s6952,s6881,s6125,s4330,s4821,s6480,s4835,s5275,s7005,s2635,s7046,s3110,s6779,s5028,s73,s7366,s4050,s6980,s1194,s1462,s2760,s5451,s7365,s4496,s5602,s5049,s1427,s5064,s13,s7362,s930,s284,s1256,s187,s5509,s5868,s3247,s7162,s3224,s5889,s1156,s2920,s4264,s3770,s5806,s2,s1872,s6786,s1957,s874,s3878]) ).

cnf(s7368,plain,
    ( ~ spl2_268
    | spl2_27
    | ~ spl2_107
    | ~ spl2_273
    | spl2_67
    | spl2_574
    | spl2_73
    | ~ spl2_49
    | ~ spl2_33 ),
    inference(rat,[],[s5992,s5890,s6819,s13,s2845,s885,s6027,s1549,s1957]) ).

cnf(s7369,plain,
    ( spl2_115
    | ~ spl2_273
    | spl2_73
    | ~ spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1052,s7367,s2977,s6444,s7180,s7368,s141,s578,s2180,s1255,s6786,s874,s1256,s187,s7259,s284,s3247,s3224,s2920,s4264,s3770,s5806,s7345]) ).

cnf(s7370,plain,
    ( ~ spl2_21
    | spl2_27
    | ~ spl2_112
    | spl2_105
    | ~ spl2_86
    | ~ spl2_115
    | spl2_67
    | spl2_73
    | ~ spl2_49
    | ~ spl2_33
    | spl2_4 ),
    inference(rat,[],[s6434,s6565,s1080,s6819,s6863,s5992,s695,s5890,s6899,s2092,s5889,s1156,s2]) ).

cnf(s7371,plain,
    ( ~ spl2_247
    | ~ spl2_86
    | ~ spl2_115
    | ~ spl2_273
    | spl2_73
    | ~ spl2_419
    | ~ spl2_49
    | ~ spl2_39
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6125,s794,s4821,s1194,s5275,s1462,s4050,s5451,s6434,s7364,s7365,s3789,s2630,s1427,s5064,s13,s7370,s141,s4008,s5853,s423,s2977,s2,s1256,s187,s7259,s284,s5509,s5868,s2920,s4264,s1872,s2569,s165,s2410,s3878]) ).

cnf(s7372,plain,
    ( ~ spl2_268
    | ~ spl2_115
    | ~ spl2_273
    | spl2_24
    | ~ spl2_33
    | spl2_4 ),
    inference(rat,[],[s13,s6899,s6804,s695,s5284,s5541,s2756,s5680,s3247,s3241]) ).

cnf(s7373,plain,
    ( ~ spl2_273
    | spl2_73
    | ~ spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6125,s4821,s794,s4050,s1194,s7364,s5275,s1462,s6881,s5451,s4330,s7365,s4835,s2630,s1427,s7005,s13,s7046,s5890,s6779,s5028,s141,s73,s4008,s1052,s7371,s2635,s423,s2977,s6444,s7180,s7372,s2092,s7369,s1872,s187,s7259,s284,s5509,s5868,s3247,s5889,s1156,s2920,s4264,s3770,s5806,s7345,s2,s3878]) ).

cnf(s7374,plain,
    ( spl2_284
    | ~ spl2_82
    | spl2_74
    | ~ spl2_349
    | spl2_559
    | spl2_278
    | ~ spl2_111
    | ~ spl2_419
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s6125,s6792,s4821,s1194,s4050,s5275,s1462,s7364,s1556,s5451,s3878]) ).

cnf(s7375,plain,
    ( spl2_393
    | ~ spl2_370
    | ~ spl2_265
    | ~ spl2_269
    | ~ spl2_284
    | ~ spl2_86
    | spl2_74
    | spl2_48
    | ~ spl2_288
    | spl2_115
    | ~ spl2_362
    | ~ spl2_111
    | ~ spl2_455
    | ~ spl2_49
    | spl2_19 ),
    inference(rat,[],[s3990,s3880,s1971,s6640,s4082,s4389,s1335,s6122,s3881,s4066,s2962,s7361,s874,s3878]) ).

cnf(s7376,plain,
    ( ~ spl2_393
    | ~ spl2_204
    | spl2_439
    | ~ spl2_94
    | ~ spl2_26
    | ~ spl2_419 ),
    inference(rat,[],[s5952,s4664,s5861]) ).

cnf(s7377,plain,
    ( ~ spl2_86
    | spl2_439
    | spl2_74
    | ~ spl2_94
    | spl2_48
    | ~ spl2_26
    | ~ spl2_288
    | spl2_115
    | spl2_185
    | ~ spl2_349
    | spl2_559
    | spl2_278
    | ~ spl2_111
    | ~ spl2_455
    | spl2_67
    | spl2_216
    | ~ spl2_419
    | ~ spl2_49
    | spl2_19
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s4821,s1154,s2445,s5873,s6912,s7375,s7376,s6125,s6952,s5878,s5594,s4649,s7374,s7035,s3789,s284,s2,s187,s1052]) ).

cnf(s7378,plain,
    ( spl2_284
    | spl2_74
    | ~ spl2_349
    | spl2_559
    | spl2_278
    | ~ spl2_111
    | spl2_67
    | ~ spl2_63
    | ~ spl2_419
    | ~ spl2_7 ),
    inference(rat,[],[s4821,s6125,s4050,s6792,s6980,s1194,s5275,s1462,s1556,s2760,s5451,s3878]) ).

cnf(s7379,plain,
    ( spl2_115
    | spl2_273
    | spl2_73
    | ~ spl2_419
    | ~ spl2_49
    | ~ spl2_39
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s4821,s1154,s6125,s4050,s6952,s6980,s5490,s5878,s1194,s2258,s5594,s4649,s3426,s7378,s73,s7377,s2180,s4008,s1878,s2630,s1427,s1426,s885,s5064,s13,s6642,s6208,s6678,s874,s1256,s187,s7259,s284,s5509,s5868,s5889,s2,s807,s2635,s6480,s3321,s6712,s1156,s4300,s799,s7046,s1052,s2977,s4266,s2920,s1640,s7162,s3224,s4264,s3878]) ).

cnf(s7380,plain,
    ( ~ spl2_21
    | spl2_351
    | ~ spl2_362
    | spl2_273
    | spl2_67
    | spl2_73
    | spl2_19 ),
    inference(rat,[],[s5816,s7180,s5992,s7038,s5890,s6642,s187,s799,s7046,s1640,s7162]) ).

cnf(s7381,plain,
    ( spl2_399
    | ~ spl2_314
    | ~ spl2_422
    | spl2_439
    | ~ spl2_204
    | ~ spl2_349
    | spl2_559
    | spl2_67
    | ~ spl2_63 ),
    inference(rat,[],[s4822,s1086,s2040,s6796,s5952,s4125]) ).

cnf(s7382,plain,
    ( ~ spl2_86
    | spl2_393
    | ~ spl2_269
    | spl2_439
    | ~ spl2_284
    | spl2_74
    | spl2_198
    | spl2_48
    | ~ spl2_204
    | ~ spl2_349
    | spl2_559
    | ~ spl2_248
    | ~ spl2_455
    | spl2_67
    | ~ spl2_63
    | ~ spl2_49
    | spl2_19 ),
    inference(rat,[],[s4371,s3451,s7381,s6122,s3881,s4066,s2962,s7361,s6863,s1080,s1208,s3878]) ).

cnf(s7383,plain,
    ( spl2_399
    | ~ spl2_422
    | spl2_439
    | ~ spl2_204
    | ~ spl2_115
    | ~ spl2_349
    | spl2_559
    | spl2_67
    | ~ spl2_63
    | ~ spl2_5 ),
    inference(rat,[],[s3881,s7381,s5964,s3878]) ).

cnf(s7384,plain,
    ( ~ spl2_39
    | spl2_15
    | spl2_13
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7039,s4066,s1142,s6122,s2326,s4353,s3451,s7383,s7044,s5873,s2799,s6125,s4821,s1154,s4050,s6980,s2386,s5490,s5028,s73,s7382,s1208,s1194,s2258,s7376,s5594,s4649,s3426,s2180,s7378,s4008,s1878,s2630,s1427,s1426,s885,s5064,s13,s7380,s5852,s7379,s6480,s5069,s799,s2635,s7046,s3321,s1052,s6712,s2977,s1640,s4266,s807,s7373,s5889,s1156,s2920,s4264,s7162,s7360,s5509,s3770,s5868,s5806,s3247,s7345,s7259,s284,s2,s1256,s3878]) ).

cnf(s7385,plain,
    ( spl2_115
    | ~ spl2_273
    | ~ spl2_73
    | ~ spl2_26 ),
    inference(rat,[],[s1754,s1344,s7330,s6786,s874]) ).

cnf(s7386,plain,
    ( ~ spl2_247
    | ~ spl2_24
    | spl2_67
    | ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73
    | spl2_540
    | ~ spl2_26
    | ~ spl2_14 ),
    inference(rat,[],[s7034,s5568,s5758,s1549,s7336,s879,s5853,s1748,s2977,s885,s7385]) ).

cnf(s7387,plain,
    ( ~ spl2_24
    | spl2_67
    | ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_26
    | spl2_39
    | spl2_15
    | ~ spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s4002,s7343,s1169,s5758,s187,s7034,s3601,s5568,s1946,s2376,s1549,s1551,s3398,s7187,s3136,s929,s7386,s22,s2363,s885,s1751,s7385]) ).

cnf(s7388,plain,
    ( spl2_198
    | ~ spl2_273
    | ~ spl2_73
    | ~ spl2_26 ),
    inference(rat,[],[s6570,s3110,s7180,s5602,s5571,s3445,s3494,s1549,s6858,s3229,s1512,s885]) ).

cnf(s7389,plain,
    ( ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73
    | spl2_27
    | spl2_39
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s335,s5571,s6819,s4730,s629,s2920,s7387,s4345,s5568,s368,s7388,s2363,s4265]) ).

cnf(s7390,plain,
    ( ~ spl2_24
    | ~ spl2_419
    | ~ spl2_73
    | spl2_27
    | spl2_39
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6723,s232,s3900,s7338,s7034,s1156,s6855,s1898,s2920,s4098,s6069,s6077,s5758,s73,s720,s7336,s4025,s5853,s4021,s1342,s2601,s7180,s860,s22,s2,s1378,s1748,s1751,s1052,s4133,s1624,s694,s6418,s5987,s2977,s4266,s2363,s7389,s284,s223,s4265,s3878]) ).

cnf(s7391,plain,
    ( ~ spl2_419
    | ~ spl2_73
    | spl2_27
    | spl2_39
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s186,s6402,s6855,s2920,s4098,s6077,s4854,s73,s1644,s188,s5571,s1512,s2753,s2630,s3247,s7390,s5865,s694,s6418,s5987,s2977,s4266,s7389,s284,s2363,s4265]) ).

cnf(s7392,plain,
    ( ~ spl2_273
    | spl2_419
    | ~ spl2_73
    | spl2_39
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s2092,s6863,s1169,s5758,s7034,s335,s94,s7301,s6884,s3601,s5602,s1946,s3398,s2313,s1551,s4345,s7180,s5568,s368,s3136,s6202,s7388,s7385,s7246,s2363,s885,s4265]) ).

cnf(s7393,plain,
    ( ~ spl2_86
    | spl2_19
    | spl2_67
    | ~ spl2_24
    | spl2_107
    | ~ spl2_115
    | ~ spl2_247
    | ~ spl2_73
    | ~ spl2_26
    | ~ spl2_14 ),
    inference(rat,[],[s5853,s879,s3336,s5334,s3276,s4002,s1533,s2092,s1113,s866,s1169,s94,s7034,s337,s314,s7331,s7186,s7301,s695,s6884]) ).

cnf(s7394,plain,
    ( ~ spl2_68
    | spl2_419
    | ~ spl2_73
    | ~ spl2_116 ),
    inference(rat,[],[s3748,s4098]) ).

cnf(s7395,plain,
    ( ~ spl2_24
    | ~ spl2_86
    | ~ spl2_58
    | spl2_107
    | ~ spl2_115
    | ~ spl2_247
    | ~ spl2_73
    | spl2_27
    | ~ spl2_26
    | spl2_39
    | ~ spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s335,s5571,s6819,s7393,s7157,s6880,s314,s3601,s7331]) ).

cnf(s7396,plain,
    ( ~ spl2_73
    | spl2_27
    | spl2_39
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s4345,s7395,s368,s1512,s188,s6907,s6077,s43,s7394,s2050,s2053,s4266,s7392,s3770,s7391,s284,s2363,s4265]) ).

cnf(s7397,plain,
    ( spl2_284
    | ~ spl2_436
    | spl2_103
    | ~ spl2_349
    | spl2_282
    | ~ spl2_82
    | spl2_185
    | ~ spl2_86
    | ~ spl2_419
    | spl2_74
    | ~ spl2_26
    | ~ spl2_16
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1176,s4087,s6125,s2253,s4821,s6564,s1154,s4725,s6413,s4050,s1150,s1111,s1462,s7364,s5451,s284,s2,s3878]) ).

cnf(s7398,plain,
    ( ~ spl2_399
    | ~ spl2_341
    | ~ spl2_385
    | ~ spl2_254
    | spl2_386
    | spl2_198
    | spl2_74
    | ~ spl2_303 ),
    inference(rat,[],[s5970,s6122,s2326,s4353,s3451]) ).

cnf(s7399,plain,
    ( ~ spl2_436
    | ~ spl2_110
    | spl2_439
    | spl2_198
    | spl2_282
    | spl2_245
    | ~ spl2_82
    | spl2_185
    | ~ spl2_86
    | ~ spl2_419
    | ~ spl2_273
    | spl2_74
    | ~ spl2_68
    | ~ spl2_63
    | ~ spl2_26
    | ~ spl2_16
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6122,s5970,s5542,s4624,s1086,s2019,s2040,s6796,s5952,s4125,s7398,s7044,s6435,s4780,s2042,s5520,s6507,s6964,s1176,s2246,s6952,s2253,s2258,s6125,s5594,s3426,s7271,s2689,s7397,s1751,s3224,s6440,s3540,s1156,s1208,s7282,s930,s7035,s2920,s284,s106,s187,s6387,s2977,s6202,s7180,s694,s5602,s6858,s1549,s885]) ).

cnf(s7400,plain,
    ( ~ spl2_399
    | spl2_386
    | spl2_289
    | ~ spl2_385
    | spl2_286
    | ~ spl2_288
    | spl2_198
    | ~ spl2_273
    | spl2_74
    | ~ spl2_303 ),
    inference(rat,[],[s6641,s4461,s6127,s6122,s1569,s2962,s5970,s1142,s3881,s2326,s3517,s3451,s6124,s6940,s1549,s3878]) ).

cnf(s7401,plain,
    ( spl2_284
    | spl2_559
    | ~ spl2_422
    | ~ spl2_349
    | ~ spl2_288
    | spl2_439
    | spl2_198
    | spl2_245
    | ~ spl2_204
    | ~ spl2_82
    | ~ spl2_207
    | ~ spl2_24
    | ~ spl2_96
    | spl2_67
    | ~ spl2_419
    | ~ spl2_273
    | spl2_74
    | ~ spl2_63
    | ~ spl2_303
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s5542,s1086,s6122,s2040,s6796,s1062,s5952,s4125,s7400,s6952,s4623,s1120,s6964,s6125,s906,s4821,s4050,s5275,s1462,s7364,s5451,s618,s3878]) ).

cnf(s7402,plain,
    ( spl2_115
    | spl2_282
    | spl2_245
    | ~ spl2_86
    | ~ spl2_24
    | ~ spl2_96
    | ~ spl2_419
    | ~ spl2_273
    | spl2_74
    | ~ spl2_68
    | ~ spl2_63
    | ~ spl2_26
    | ~ spl2_16
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6122,s5970,s5542,s4624,s1086,s6435,s2019,s2040,s6796,s4780,s5952,s4125,s1462,s7400,s6507,s6964,s2246,s6952,s2253,s2258,s6125,s5594,s3426,s7271,s7401,s2635,s6832,s7399,s1208,s6440,s7282,s3540,s930,s2977,s6202,s696,s694,s7180,s5602,s2180,s1549,s6858,s1255,s1957,s6786,s874,s2,s1256,s885,s1751,s1156,s302,s280,s7035,s229,s350,s223,s2920,s284]) ).

cnf(s7403,plain,
    ( ~ spl2_24
    | ~ spl2_419
    | ~ spl2_273
    | spl2_27
    | spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s2977,s5853,s6202,s879,s7180,s5334,s2092,s7402,s983,s593,s7034,s741,s6381,s229,s640,s221,s6907,s5894,s22,s7162,s4001,s1751,s5889,s2,s350,s6723,s1156,s4124,s1878,s223,s4265,s1644,s3453,s3695,s2920,s4264,s2363,s284,s7396]) ).

cnf(s7404,plain,
    ( ~ spl2_399
    | spl2_386
    | ~ spl2_385
    | ~ spl2_284
    | ~ spl2_86
    | spl2_198
    | ~ spl2_626
    | spl2_74 ),
    inference(rat,[],[s6122,s5970,s4371,s4323,s3451]) ).

cnf(s7405,plain,
    ( ~ spl2_436
    | spl2_282
    | spl2_185
    | ~ spl2_86
    | ~ spl2_82
    | spl2_439
    | spl2_245
    | spl2_216
    | spl2_198
    | ~ spl2_626
    | spl2_67
    | ~ spl2_419
    | ~ spl2_273
    | spl2_74
    | ~ spl2_63
    | ~ spl2_26
    | ~ spl2_16
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6122,s5970,s5542,s4624,s1086,s2019,s2040,s6796,s5952,s4125,s7404,s6435,s4780,s2042,s1462,s1176,s6952,s6507,s6964,s2253,s6125,s4322,s5594,s7271,s7397,s1751,s6440,s3540,s1156,s1208,s7282,s7035,s284,s930,s106,s187,s6387,s2977,s6202,s7180,s694,s5602,s1549,s885]) ).

cnf(s7406,plain,
    ( spl2_284
    | spl2_103
    | ~ spl2_86
    | spl2_456
    | ~ spl2_49
    | ~ spl2_455
    | ~ spl2_419
    | ~ spl2_16
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s1735,s2455,s4087,s6559,s2253,s6564,s6413,s5253,s1150,s1462,s5451]) ).

cnf(s7407,plain,
    ( ~ spl2_86
    | spl2_78
    | ~ spl2_82
    | spl2_439
    | spl2_245
    | spl2_216
    | ~ spl2_626
    | ~ spl2_49
    | ~ spl2_96
    | ~ spl2_455
    | spl2_67
    | ~ spl2_419
    | ~ spl2_273
    | spl2_175
    | spl2_74
    | ~ spl2_63
    | ~ spl2_26
    | ~ spl2_16
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6122,s5970,s5542,s4624,s1086,s2019,s2040,s6796,s6435,s5952,s4125,s4780,s7404,s1462,s6952,s6507,s6964,s2253,s6125,s4322,s5594,s7271,s7406,s2635,s6832,s7405,s983,s106,s280,s640,s1751,s1156,s3271,s187,s6387,s2977,s694,s5602,s7034,s1208,s7282,s7035,s284,s930,s6202,s7180,s1549,s2630,s885]) ).

cnf(s7408,plain,
    ( spl2_284
    | spl2_559
    | ~ spl2_64
    | ~ spl2_82
    | spl2_456
    | ~ spl2_349
    | ~ spl2_288
    | spl2_268
    | ~ spl2_49
    | ~ spl2_96
    | ~ spl2_455
    | ~ spl2_419
    | spl2_74
    | ~ spl2_16
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s4391,s1735,s6124,s793,s2455,s6940,s6559,s6952,s2253,s6125,s6564,s906,s4821,s6413,s4050,s5275,s5253,s1462,s7364,s5451,s284,s2,s3878]) ).

cnf(s7409,plain,
    ( ~ spl2_399
    | ~ spl2_385
    | spl2_386
    | ~ spl2_284
    | spl2_198
    | spl2_74
    | ~ spl2_303 ),
    inference(rat,[],[s6122,s5970,s4371,s2326,s3451]) ).

cnf(s7410,plain,
    ( ~ spl2_419
    | ~ spl2_273
    | spl2_27
    | spl2_21
    | spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6122,s5970,s5542,s4630,s1086,s2040,s6796,s5952,s4125,s7409,s6435,s4780,s1462,s6507,s6964,s6952,s2253,s2258,s6125,s5594,s3426,s7271,s7408,s2635,s3321,s6712,s6779,s73,s7407,s1208,s7282,s7035,s7034,s6582,s6565,s6454,s3271,s187,s6440,s6387,s3540,s930,s2977,s6202,s2180,s2600,s694,s7180,s151,s5602,s1549,s4075,s2753,s2630,s6242,s3247,s7403,s6245,s1644,s3453,s6723,s5889,s3695,s1156,s2920,s284,s2,s2363,s885,s4124,s7162,s1878,s4001,s4264,s7396,s1751,s4265]) ).

cnf(s7411,plain,
    ( ~ spl2_273
    | spl2_27
    | spl2_21
    | spl2_39
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s5334,s2092,s5758,s5889,s7034,s1156,s335,s5602,s94,s695,s6884,s4345,s6910,s3601,s368,s1957,s1946,s1549,s1551,s7180,s6202,s557,s5976,s7246,s3770,s7410,s284,s2,s2363,s885,s1878,s4001,s4264,s7396,s1751,s4265]) ).

cnf(s7412,plain,
    ( spl2_399
    | spl2_439
    | ~ spl2_115
    | ~ spl2_204
    | spl2_559
    | ~ spl2_349
    | spl2_67
    | ~ spl2_419
    | ~ spl2_63
    | ~ spl2_5 ),
    inference(rat,[],[s1208,s4664,s7383,s5952]) ).

cnf(s7413,plain,
    ( spl2_400
    | ~ spl2_264
    | ~ spl2_399
    | ~ spl2_284 ),
    inference(rat,[],[s4332,s6882,s1102]) ).

cnf(s7414,plain,
    ( ~ spl2_419
    | spl2_273
    | spl2_574
    | spl2_73
    | ~ spl2_26
    | spl2_30
    | ~ spl2_16
    | spl2_15
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s4822,s3881,s6436,s2965,s6793,s7413,s6127,s1569,s2040,s4664,s4066,s4141,s6122,s1142,s4371,s2326,s3451,s7412,s6338,s2184,s2258,s874,s5594,s1908,s3426,s6678,s2753,s2630,s3247,s7035,s6069,s5894,s6881,s73,s803,s4330,s6863,s7378,s5069,s4300,s6643,s6245,s1080,s2635,s694,s799,s1644,s3321,s6418,s7046,s3453,s6712,s6723,s5987,s1052,s3695,s1156,s2977,s2920,s284,s2,s885,s4124,s4264,s1878,s807,s4266,s1640,s7162,s3878]) ).

cnf(s7415,plain,
    ( spl2_15
    | spl2_13
    | spl2_12
    | spl2_8
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s3032,s5289,s2053,s5976,s2730,s3770,s7414,s4266,s7411,s3224,s4264,s7162,s7396,s120,s4265,s5968,s1378,s2363,s7384,s6,s284,s157]) ).

cnf(s7416,plain,
    ( spl2_284
    | spl2_292
    | ~ spl2_505
    | spl2_74
    | spl2_288
    | ~ spl2_207
    | ~ spl2_115
    | ~ spl2_273
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s4623,s4483,s6125,s2709,s1174,s794,s5451,s1194]) ).

cnf(s7417,plain,
    ( ~ spl2_39
    | ~ spl2_419
    | ~ spl2_273
    | ~ spl2_73
    | ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1735,s4087,s3073,s2689,s7416,s6353,s4096,s4098,s3224,s4438,s1601,s799,s1080,s931,s6863,s5334,s4002,s7172,s2092,s1113,s3855,s1169,s5758,s929,s1974,s7034,s7386,s1156,s335,s94,s5509,s7301,s5602,s695,s6884,s6887,s187,s1943,s7259,s2,s1751,s7385,s710,s3064,s2005,s5568,s302,s3247,s2630,s7388,s330,s284]) ).

cnf(s7418,plain,
    ( spl2_67
    | ~ spl2_38
    | ~ spl2_419
    | ~ spl2_273
    | ~ spl2_73
    | spl2_540
    | spl2_27
    | ~ spl2_15
    | ~ spl2_14 ),
    inference(rat,[],[s5334,s4002,s2092,s1113,s7187,s6819,s1169,s5758,s929,s1974,s7034,s7386,s1156,s7385,s5568,s3247,s2630,s7388,s330]) ).

cnf(s7419,plain,
    ( ~ spl2_419
    | ~ spl2_273
    | ~ spl2_73
    | spl2_27
    | ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s335,s5571,s6819,s4730,s629,s2920,s7418,s22,s2363,s7417,s1751,s5568,s3247,s2630,s7388,s330,s284]) ).

cnf(s7420,plain,
    ( ~ spl2_273
    | ~ spl2_73
    | spl2_27
    | ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6884,s695,s3601,s6863,s7331,s5758,s7034,s5178,s1080,s3445,s799,s5580,s1601,s3136,s929,s629,s43,s7246,s7394,s7419,s3247,s2630,s5568,s7388,s7385,s330,s284]) ).

cnf(s7421,plain,
    ( spl2_67
    | spl2_64
    | ~ spl2_73
    | ~ spl2_15
    | ~ spl2_14 ),
    inference(rat,[],[s6858,s5571,s5568,s1974,s7034,s1156,s330]) ).

cnf(s7422,plain,
    ( ~ spl2_24
    | spl2_253
    | spl2_439
    | ~ spl2_94
    | spl2_19
    | ~ spl2_419
    | spl2_352
    | spl2_273
    | ~ spl2_73
    | ~ spl2_15
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1034,s2040,s7359,s5604,s5571,s6858,s5568,s6434,s799,s806,s5069,s2635,s3321,s5627,s6384,s43,s2920,s7421,s5758,s3095,s7336,s1278,s5853,s1208,s1342,s2376,s7376,s7180,s6887,s860,s2,s1624,s1911,s1052,s2977,s4266,s223,s330,s284]) ).

cnf(s7423,plain,
    ( ~ spl2_39
    | ~ spl2_419
    | spl2_273
    | ~ spl2_73
    | ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s5630,s6434,s4257,s5853,s2756,s1342,s7180,s7038,s6645,s806,s5069,s2635,s3321,s5627,s6384,s43,s2920,s1156,s1974,s5571,s2753,s3247,s7422,s710,s2180,s4008,s1427,s1426,s7259,s1748,s1751,s5865,s1624,s1911,s1052,s2977,s4266,s223,s330,s284]) ).

cnf(s7424,plain,
    ( spl2_284
    | spl2_276
    | spl2_74
    | ~ spl2_268
    | ~ spl2_362
    | ~ spl2_419
    | ~ spl2_111
    | ~ spl2_15
    | ~ spl2_7 ),
    inference(rat,[],[s5546,s1449,s6124,s1194,s6984,s1171,s1462,s1556,s5451]) ).

cnf(s7425,plain,
    ( ~ spl2_24
    | spl2_39
    | ~ spl2_419
    | spl2_352
    | spl2_273
    | ~ spl2_73
    | ~ spl2_15
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s5640,s2258,s4042,s3426,s7424,s4196,s187,s5027,s6755,s5571,s6858,s337,s5568,s6579,s5285,s2340,s43,s2920,s1898,s7421,s6069,s5758,s73,s7336,s5853,s4025,s1342,s4021,s7180,s22,s860,s2,s885,s807,s4133,s1624,s1911,s1052,s2977,s4266,s223,s330,s284,s2363,s1378,s3878]) ).

cnf(s7426,plain,
    ( ~ spl2_419
    | spl2_273
    | ~ spl2_73
    | ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6570,s806,s7180,s5069,s5496,s2635,s187,s3321,s5027,s5627,s6755,s6384,s2340,s43,s2920,s1156,s73,s1974,s188,s5571,s1512,s2753,s2630,s4817,s3247,s7425,s2363,s7423,s4133,s5865,s1911,s1052,s2977,s1748,s4266,s1751,s330,s284,s3878]) ).

cnf(s7427,plain,
    ( ~ spl2_39
    | spl2_419
    | ~ spl2_26
    | ~ spl2_116 ),
    inference(rat,[],[s4622,s1427]) ).

cnf(s7429,plain,
    ( spl2_284
    | spl2_74
    | ~ spl2_115
    | spl2_419
    | spl2_273
    | ~ spl2_7 ),
    inference(rat,[],[s2799,s5006,s6125,s6124,s3097,s3021,s1074,s5451,s618,s3100,s4266]) ).

cnf(s7430,plain,
    ( ~ spl2_24
    | spl2_419
    | spl2_273
    | ~ spl2_73
    | spl2_27
    | ~ spl2_26
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s5640,s2258,s4042,s3426,s7429,s1891,s337,s5568,s6579,s5285,s73,s22,s7395,s885,s2053,s2050,s3770,s4266,s43,s2340,s2363,s7427,s7394]) ).

cnf(s7431,plain,
    ( ~ spl2_73
    | spl2_27
    | ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6385,s2253,s2258,s4855,s5594,s3426,s5516,s7429,s1898,s6069,s73,s5571,s1908,s188,s6858,s1512,s2630,s3247,s7430,s1378,s7427,s2053,s3770,s7426,s4266,s7420,s885,s330,s284]) ).

cnf(s7433,plain,
    ( spl2_115
    | spl2_393
    | spl2_406
    | ~ spl2_94
    | spl2_19
    | spl2_121
    | spl2_245
    | ~ spl2_86
    | ~ spl2_207
    | ~ spl2_24
    | ~ spl2_419
    | ~ spl2_273
    | spl2_73
    | ~ spl2_26
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s7341,s5565,s7365,s6858,s1344,s1957,s6786,s874,s1878,s2679,s187]) ).

cnf(s7434,plain,
    ( spl2_284
    | ~ spl2_505
    | spl2_288
    | ~ spl2_115
    | ~ spl2_207
    | ~ spl2_419
    | ~ spl2_273
    | spl2_74
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s1462,s7416,s5451]) ).

cnf(s7435,plain,
    ( ~ spl2_39
    | spl2_46
    | ~ spl2_82
    | spl2_179
    | ~ spl2_86
    | ~ spl2_24
    | ~ spl2_419
    | ~ spl2_273
    | spl2_73
    | ~ spl2_26
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s4725,s1109,s2445,s4623,s5873,s4649,s3073,s7434,s5509,s6858,s5602,s695,s7433,s7376,s2180,s4008,s1237,s6884,s1427,s1426,s7259,s2410,s2,s1878,s302,s7035,s2920,s284,s572,s640,s4001,s4264,s1751,s621,s7162]) ).

cnf(s7436,plain,
    ( spl2_284
    | ~ spl2_349
    | spl2_363
    | ~ spl2_277
    | ~ spl2_82
    | spl2_185
    | ~ spl2_86
    | ~ spl2_419
    | spl2_74
    | ~ spl2_26
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s6125,s6720,s4821,s1154,s4725,s4050,s1111,s7364,s5451,s3878]) ).

cnf(s7437,plain,
    ( spl2_198
    | spl2_39
    | spl2_282
    | ~ spl2_82
    | spl2_185
    | ~ spl2_86
    | ~ spl2_89
    | ~ spl2_419
    | ~ spl2_273
    | spl2_74
    | ~ spl2_26
    | ~ spl2_499
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s6720,s2258,s6125,s3426,s7271,s7436,s5643,s6209,s994,s929,s2977,s7180,s5606,s5602,s1549,s6858,s885,s2363]) ).

cnf(s7438,plain,
    ( ~ spl2_24
    | spl2_76
    | ~ spl2_419
    | ~ spl2_273
    | spl2_73
    | spl2_27
    | ~ spl2_26
    | ~ spl2_499
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s2977,s929,s5853,s7187,s879,s5334,s2092,s874,s1957,s7437,s22,s7435,s983,s7034,s758,s6381,s640,s229,s280,s1113,s221,s6907,s5894,s284,s1878,s4001,s1751,s5889,s1156,s2920,s4264,s2,s6819,s353,s223]) ).

cnf(s7439,plain,
    ( ~ spl2_399
    | spl2_575
    | ~ spl2_389
    | ~ spl2_422
    | spl2_19
    | ~ spl2_288
    | ~ spl2_37
    | ~ spl2_273 ),
    inference(rat,[],[s2962,s7039,s3881,s1023,s3517,s3878]) ).

cnf(s7440,plain,
    ( ~ spl2_39
    | ~ spl2_37
    | ~ spl2_49
    | ~ spl2_455
    | spl2_67
    | ~ spl2_419
    | ~ spl2_273
    | spl2_574
    | spl2_74
    | ~ spl2_63
    | ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s5542,s1086,s6122,s6796,s1063,s4125,s7439,s2747,s2040,s5604,s3095,s6356,s1208,s2042,s7376,s1735,s5872,s2455,s6559,s5229,s4050,s6980,s6353,s1194,s1462,s2760,s5451,s931,s7365,s7178,s187,s5868,s1427,s7259,s2,s1549,s2630,s1908,s885,s2180,s710,s151,s2977,s1052,s1911,s5602,s2753,s6245,s1974,s1156,s330,s284,s3878]) ).

cnf(s7442,plain,
    ( spl2_284
    | ~ spl2_64
    | ~ spl2_82
    | spl2_456
    | ~ spl2_349
    | ~ spl2_16
    | ~ spl2_288
    | spl2_268
    | ~ spl2_49
    | ~ spl2_96
    | ~ spl2_455
    | ~ spl2_419
    | spl2_74
    | ~ spl2_15
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6559,s2455,s1449,s1735,s1194,s2042,s5253,s1462,s7408,s5451]) ).

cnf(s7443,plain,
    ( ~ spl2_419
    | ~ spl2_273
    | spl2_27
    | ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6720,s2258,s6125,s3426,s7271,s7442,s7034,s6565,s6454,s3271,s187,s1032,s5643,s994,s6209,s2363,s7440,s929,s2977,s1052,s1911,s7180,s5602,s1549,s4075,s2753,s2630,s6242,s3247,s7438,s6245,s6819,s1974,s5889,s1156,s2920,s2,s1445,s885,s7162,s1878,s330,s284,s3224,s4264,s7431]) ).

cnf(s7444,plain,
    ( ~ spl2_389
    | spl2_428
    | ~ spl2_255
    | ~ spl2_294
    | spl2_419
    | spl2_74
    | ~ spl2_116 ),
    inference(rat,[],[s6122,s1062,s3022,s1022,s2307]) ).

cnf(s7445,plain,
    ( ~ spl2_399
    | spl2_198
    | spl2_363
    | ~ spl2_273
    | ~ spl2_303 ),
    inference(rat,[],[s6715,s3881,s2326,s3517,s3451,s7180,s1549,s3878]) ).

cnf(s7446,plain,
    ( spl2_284
    | ~ spl2_389
    | spl2_419
    | spl2_74
    | ~ spl2_68
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s2445,s1502,s7444,s1074,s5451,s618,s5976,s3770]) ).

cnf(s7447,plain,
    ( ~ spl2_288
    | spl2_46
    | ~ spl2_204
    | ~ spl2_92
    | ~ spl2_24
    | spl2_363
    | spl2_419
    | ~ spl2_273
    | spl2_74
    | ~ spl2_68
    | ~ spl2_303
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s6720,s2258,s6125,s3426,s7271,s7446,s5952,s7445,s7180,s1549,s2184,s1957,s3049,s1918,s696,s929,s557,s7246]) ).

cnf(s7448,plain,
    ( spl2_67
    | ~ spl2_24
    | spl2_419
    | ~ spl2_273
    | spl2_73
    | ~ spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s5334,s7187,s2092,s874,s1957,s6858,s5602,s7447,s758,s221,s5758,s6723,s1974,s5889,s7035,s7034,s1156,s2,s885,s223,s4124,s1878,s4001,s1751,s5976,s3770,s4264,s929,s994,s2363,s7246,s6880,s22,s7427,s330,s284]) ).

cnf(s7449,plain,
    ( spl2_216
    | ~ spl2_67
    | ~ spl2_24
    | spl2_419
    | ~ spl2_273
    | spl2_73
    | ~ spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s20,s94,s46,s6514,s1933,s6887,s1203,s1052,s7447,s1918,s1911,s5602,s1908,s885,s1878,s5976,s3770,s929,s557,s994,s2363,s7246,s6880,s7427,s330,s113,s4264]) ).

cnf(s7450,plain,
    ( ~ spl2_24
    | spl2_419
    | ~ spl2_273
    | spl2_73
    | ~ spl2_15
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1946,s1551,s3601,s7187,s6884,s874,s94,s1957,s335,s6858,s7449,s7448,s22,s885,s1878,s7427,s330,s284,s5976,s3770,s4264,s929,s7246]) ).

cnf(s7451,plain,
    ( ~ spl2_284
    | spl2_198
    | spl2_363
    | ~ spl2_273
    | spl2_74
    | ~ spl2_303 ),
    inference(rat,[],[s6720,s2258,s6125,s3426,s7271,s7180,s1549]) ).

cnf(s7452,plain,
    ( ~ spl2_273
    | spl2_27
    | ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1359,s1142,s714,s4991,s3095,s6441,s5604,s1289,s7446,s7451,s187,s1031,s6209,s3774,s7180,s5602,s1908,s7445,s1549,s6858,s2630,s4817,s3247,s7450,s994,s1378,s2363,s929,s7427,s7246,s7443,s885,s4264,s1878,s7431,s330,s284]) ).

cnf(s7453,plain,
    ( ~ spl2_419
    | spl2_27
    | ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1121,s1427,s2985,s4649,s1462,s7409,s7412,s1194,s6964,s578,s2180,s1449,s2258,s151,s5594,s874,s3426,s4075,s2753,s6678,s2630,s6242,s3247,s5894,s7035,s73,s6881,s7378,s6863,s4300,s4330,s2635,s1080,s799,s6643,s6245,s6819,s3321,s7046,s1911,s1974,s6712,s1052,s1156,s2977,s2920,s2,s885,s1878,s330,s284,s3224,s4264,s807,s4266,s1640,s7452,s7162,s7431]) ).

cnf(s7454,plain,
    ( spl2_27
    | ~ spl2_15
    | spl2_4
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s3032,s5289,s2053,s5976,s2730,s3770,s7453,s4266,s7452,s4264,s7162,s7431]) ).

cnf(s7455,plain,
    ( ~ spl2_15
    | spl2_12
    | ~ spl2_116
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s7454,s136,s6,s284]) ).

cnf(s7456,plain,
    ( spl2_288
    | ~ spl2_128
    | ~ spl2_33
    | ~ spl2_347
    | spl2_282
    | spl2_248
    | ~ spl2_273
    | ~ spl2_73
    | ~ spl2_419
    | spl2_24 ),
    inference(rat,[],[s6779,s73,s7046,s2499,s2920,s43,s1052,s6341,s4078,s2977,s6832,s931,s7180,s5680,s5296,s5540,s4133,s3241,s3878]) ).

cnf(s7457,plain,
    ( ~ spl2_273
    | spl2_198
    | ~ spl2_73
    | ~ spl2_419
    | spl2_24
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s1255,s6786,s141,s695,s7346,s7456,s6899,s7037,s187,s799,s7259,s3445,s952,s13,s4265,s3494,s3229,s7388,s284,s1256,s1512]) ).

cnf(s7458,plain,
    ( spl2_26
    | spl2_273
    | spl2_132
    | ~ spl2_73
    | ~ spl2_419
    | ~ spl2_49
    | ~ spl2_78
    | spl2_15
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7350,s5028,s1194,s1156,s4096,s2920,s4098,s5726,s73,s5853,s5852,s3918,s713,s5803,s3972,s1906,s865,s2756,s4033,s4133,s7180,s6208,s7038,s8,s187,s6642,s7259,s2410,s6109,s13,s1377,s4265,s284,s2,s1256,s1052,s2977,s4266,s3878]) ).

cnf(s7459,plain,
    ( ~ spl2_33
    | spl2_216
    | ~ spl2_26
    | spl2_132
    | ~ spl2_73
    | ~ spl2_419
    | ~ spl2_49
    | spl2_289
    | spl2_15
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s2386,s4793,s6559,s7044,s5229,s4050,s6980,s1194,s1462,s5451,s7352,s5992,s2920,s3224,s5726,s5571,s5490,s4851,s5064,s1256,s2455,s73,s188,s3878]) ).

cnf(s7460,plain,
    ( ~ spl2_73
    | ~ spl2_419
    | spl2_24
    | spl2_289
    | spl2_82
    | spl2_15
    | spl2_12
    | spl2_8
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7396,s120,s3891,s187,s7459,s6858,s7458,s7457,s1512,s5568,s157,s337,s3247]) ).

cnf(s7461,plain,
    ( ~ spl2_273
    | spl2_73
    | spl2_12
    | spl2_8
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s7411,s120,s5968,s7373,s6,s284,s7455,s157]) ).

cnf(s7462,plain,
    ( spl2_26
    | spl2_351
    | ~ spl2_362
    | spl2_273
    | spl2_67
    | spl2_73
    | spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s7380,s7259,s13,s4265]) ).

cnf(s7463,plain,
    ( ~ spl2_419
    | spl2_12
    | spl2_8
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s4050,s5644,s4854,s4584,s5594,s1114,s1644,s7378,s4851,s3918,s6643,s1878,s6858,s2630,s5064,s7462,s4330,s5069,s799,s6881,s2635,s7046,s3321,s1052,s6712,s2977,s1640,s4266,s807,s7461,s1156,s2920,s4264,s7162,s7460,s6,s284,s1256,s337,s779,s2455,s778,s3247,s777,s7415,s7455,s157,s3878]) ).

cnf(s7464,plain,
    ( spl2_12
    | spl2_8
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s7396,s120,s4264,s5836,s5976,s3770,s7463,s3247,s777,s779,s7415,s7455,s6,s284,s157]) ).

cnf(s7465,plain,
    ( spl2_26
    | ~ spl2_419
    | ~ spl2_12
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s186,s775,s3891,s13,s4265]) ).

cnf(s7466,plain,
    ( ~ spl2_73
    | ~ spl2_26
    | ~ spl2_419
    | spl2_15
    | ~ spl2_13
    | spl2_8
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7396,s120,s3891,s187,s7459,s6858,s1512,s5568,s157,s779,s778,s3247,s777]) ).

cnf(s7467,plain,
    ( spl2_19
    | ~ spl2_277
    | ~ spl2_288
    | ~ spl2_273
    | ~ spl2_89
    | ~ spl2_60
    | ~ spl2_26
    | ~ spl2_419
    | spl2_15
    | spl2_82 ),
    inference(rat,[],[s4330,s4835,s6645,s2989,s6208,s6881,s2977,s3110,s6444,s5028,s187]) ).

cnf(s7468,plain,
    ( ~ spl2_19
    | ~ spl2_68
    | spl2_500
    | spl2_74
    | ~ spl2_419
    | ~ spl2_13 ),
    inference(rat,[],[s6565,s6723,s6454,s2363,s3271,s3891,s779,s3247,s777,s1156,s2920]) ).

cnf(s7469,plain,
    ( ~ spl2_273
    | spl2_19
    | ~ spl2_89
    | ~ spl2_60
    | spl2_198
    | ~ spl2_26
    | ~ spl2_419
    | spl2_15
    | spl2_82 ),
    inference(rat,[],[s7467,s7180,s5602,s1549,s885,s6858]) ).

cnf(s7470,plain,
    ( ~ spl2_419
    | spl2_15
    | ~ spl2_13
    | ~ spl2_12
    | spl2_8
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6357,s5520,s4046,s2386,s6643,s4584,s5594,s2689,s4330,s7378,s6881,s2635,s3321,s6712,s799,s2977,s7043,s1640,s4266,s807,s7469,s5028,s187,s7468,s1156,s2920,s3224,s73,s738,s4264,s7162,s4124,s3918,s1878,s6858,s2630,s7466,s5064,s7465,s2,s1256,s157,s337,s779,s3247,s777]) ).

cnf(s7471,plain,
    ( spl2_15
    | ~ spl2_13
    | ~ spl2_12
    | spl2_8
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7396,s120,s4264,s5836,s5976,s3770,s7470,s157,s779,s3247,s777]) ).

cnf(s7472,plain,
    ( ~ spl2_73
    | ~ spl2_419
    | ~ spl2_15
    | ~ spl2_49
    | spl2_82
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s1121,s3891,s2340,s7038,s6447,s6645,s7180,s806,s2756,s5069,s4257,s2635,s3321,s5627,s6384,s43,s5630,s2920,s1052,s1156,s2977,s1974,s4266,s5571,s7388,s6858,s2630,s73,s3918,s5064,s330,s1256,s337]) ).

cnf(s7473,plain,
    ( ~ spl2_419
    | ~ spl2_15
    | ~ spl2_49
    | ~ spl2_285
    | spl2_82
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s5229,s4050,s6559,s6980,s1449,s1194,s5101,s6454,s6582,s1974,s1156,s2920,s3224,s4264,s7472,s5490,s73,s3918,s337,s4851,s5064,s330,s1256,s3878]) ).

cnf(s7474,plain,
    ( ~ spl2_13
    | ~ spl2_12
    | spl2_8
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7429,s2053,s4042,s4266,s1898,s5640,s7388,s6579,s1357,s2340,s4264,s1378,s2363,s5976,s7427,s3770,s7473,s73,s1908,s4851,s3918,s6858,s2630,s885,s5064,s330,s7471,s3247,s2455,s337,s777,s778,s779,s284,s1256,s157]) ).

cnf(s7475,plain,
    ( ~ spl2_395
    | ~ spl2_635
    | ~ spl2_78
    | ~ spl2_399 ),
    inference(rat,[],[s4040,s4056]) ).

cnf(s7476,plain,
    ( spl2_39
    | spl2_15
    | ~ spl2_73
    | spl2_8
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7396,s120,s157]) ).

cnf(s7477,plain,
    ( spl2_82
    | ~ spl2_422
    | spl2_19
    | ~ spl2_26
    | ~ spl2_11 ),
    inference(rat,[],[s7039,s1142,s2069,s5571,s2326,s1086,s6858,s3451,s7475,s5568,s6579,s337,s1381,s1380,s885]) ).

cnf(s7478,plain,
    ( ~ spl2_273
    | spl2_393
    | spl2_19
    | ~ spl2_26
    | ~ spl2_399
    | ~ spl2_73
    | ~ spl2_12
    | ~ spl2_14 ),
    inference(rat,[],[s3881,s4708,s2018,s2241,s1287,s6338,s4450,s1768,s6884,s2284,s6793,s3247,s5550,s2630,s7385,s7388,s3878]) ).

cnf(s7479,plain,
    ( spl2_198
    | spl2_278
    | ~ spl2_111
    | ~ spl2_82
    | ~ spl2_33
    | spl2_15
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6434,s5853,s7374,s7355,s2042,s1556,s5451,s7352,s4096,s442,s714,s5992,s7035,s7034,s1156,s7459,s6060,s2920,s4098,s6108,s3247,s4854,s5726,s2286,s1644,s73,s1908,s5571,s188,s6858,s1512,s284,s5064,s1256,s885,s7465,s2]) ).

cnf(s7480,plain,
    ( spl2_15
    | ~ spl2_419
    | ~ spl2_12
    | spl2_8
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7034,s335,s5758,s6819,s4624,s2018,s2241,s1287,s5571,s126,s6436,s1768,s6884,s2286,s6793,s3247,s5550,s2630,s7479,s2977,s4266,s807,s7478,s7477,s1208,s187,s5861,s3891,s1427,s7476,s284,s157,s1381,s1380,s5,s7474,s7465,s2]) ).

cnf(s7481,plain,
    ( spl2_82
    | ~ spl2_15
    | ~ spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7422,s714,s2184,s3891,s1427,s6060,s7425,s4854,s1748,s1644,s4266,s1908,s5571,s188,s3247,s7388,s6858,s1512,s7472,s5568,s284,s885,s1751]) ).

cnf(s7482,plain,
    ( spl2_198
    | spl2_393
    | spl2_19
    | ~ spl2_15
    | ~ spl2_26
    | ~ spl2_419
    | ~ spl2_11
    | ~ spl2_7 ),
    inference(rat,[],[s2040,s1034,s2041,s6974,s5604,s6346,s3096,s43,s1234,s2920,s6060,s2079,s1156,s4854,s7039,s1974,s1644,s1142,s1908,s5571,s2326,s188,s6858,s3451,s1512,s1381,s1380,s885,s187,s1278,s1208]) ).

cnf(s7483,plain,
    ( ~ spl2_39
    | ~ spl2_15
    | ~ spl2_419
    | ~ spl2_11
    | ~ spl2_12
    | ~ spl2_116
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6065,s7180,s728,s860,s7422,s302,s3247,s2630,s7482,s1911,s1052,s1748,s2977,s4266,s7478,s2173,s5861,s4008,s1943,s3891,s1427,s1426,s284,s1381,s1380,s1751,s7465,s2]) ).

cnf(s7484,plain,
    ( spl2_198
    | spl2_39
    | ~ spl2_82
    | ~ spl2_15
    | ~ spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_12
    | ~ spl2_116
    | ~ spl2_7 ),
    inference(rat,[],[s806,s6570,s5069,s7180,s2635,s5496,s3321,s187,s6764,s5027,s6755,s4133,s2340,s43,s1911,s2920,s1052,s4817,s1156,s2977,s2286,s1974,s73,s4266,s5571,s188,s7388,s6858,s1512,s2363,s3878]) ).

cnf(s7485,plain,
    ( ~ spl2_419
    | spl2_8
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s1748,s7425,s4266,s7418,s335,s6819,s5571,s22,s2286,s4345,s368,s7484,s7483,s7481,s136,s7480,s1751,s7465,s2,s157,s1381,s5,s7474,s6,s284,s7464]) ).

cnf(s7486,plain,
    ( spl2_26
    | spl2_13
    | ~ spl2_12 ),
    inference(rat,[],[s773,s13]) ).

cnf(s7487,plain,
    ( spl2_82
    | spl2_61
    | ~ spl2_26
    | ~ spl2_399
    | ~ spl2_73 ),
    inference(rat,[],[s73,s6714,s2326,s188,s1086,s3451,s1512,s7475,s5568,s6579,s337,s885]) ).

cnf(s7488,plain,
    ( spl2_198
    | ~ spl2_82
    | spl2_27
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_116
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s6385,s2253,s2258,s4855,s5594,s3426,s5516,s7429,s6108,s2053,s73,s7430,s4266,s5571,s188,s7388,s6858,s1512,s3770,s885]) ).

cnf(s7489,plain,
    ( spl2_8
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s5334,s5580,s7187,s3136,s929,s4002,s1113,s7385,s7246,s6819,s6907,s22,s7430,s2286,s3902,s4345,s2630,s368,s7488,s7049,s7487,s2340,s120,s2363,s7427,s7486,s43,s7394,s7485,s1380,s1381,s5,s7474,s7464,s157,s6,s284]) ).

cnf(s7490,plain,
    ( ~ spl2_116
    | spl2_24
    | spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | spl2_12
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7458,s1512,s7457,s5568,s337,s779,s7360,s4265,s330,s284,s3247]) ).

cnf(s7491,plain,
    ( spl2_67
    | spl2_61
    | spl2_82
    | spl2_27
    | ~ spl2_49
    | spl2_19 ),
    inference(rat,[],[s165,s6907,s6582,s230,s5028,s5992,s1156,s187,s337]) ).

cnf(s7492,plain,
    ( ~ spl2_67
    | spl2_82
    | spl2_27
    | ~ spl2_49
    | spl2_15
    | ~ spl2_39
    | ~ spl2_419 ),
    inference(rat,[],[s3789,s6907,s2469,s5726,s1942,s2920,s187,s3891,s337]) ).

cnf(s7493,plain,
    ( ~ spl2_273
    | ~ spl2_61
    | spl2_198
    | spl2_24
    | ~ spl2_128
    | ~ spl2_33
    | spl2_26
    | ~ spl2_419
    | ~ spl2_73 ),
    inference(rat,[],[s7456,s799,s3110,s3445,s3494,s952,s3229,s1512]) ).

cnf(s7494,plain,
    ( spl2_273
    | spl2_26
    | ~ spl2_419
    | ~ spl2_8
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s5803,s864,s865,s874,s7180,s4133,s3032,s7038,s6208,s5973,s1052,s2977,s6642,s4266,s187,s3247,s740,s7036,s3891,s4265,s13,s3878]) ).

cnf(s7495,plain,
    ( spl2_82
    | spl2_27
    | ~ spl2_273
    | spl2_24
    | ~ spl2_128
    | spl2_15
    | ~ spl2_39
    | spl2_26
    | ~ spl2_419
    | ~ spl2_73 ),
    inference(rat,[],[s7491,s7493,s7492,s5568,s187,s3891,s3247]) ).

cnf(s7496,plain,
    ( spl2_27
    | ~ spl2_273
    | spl2_24
    | ~ spl2_20
    | ~ spl2_128
    | spl2_15
    | ~ spl2_39
    | spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_8 ),
    inference(rat,[],[s2499,s4075,s43,s6341,s6907,s6832,s7052,s3494,s7493,s1512,s1957,s874,s799,s6338,s3445,s2825,s2223,s2977,s931,s7180,s5680,s6580,s6242,s94,s7495,s6109,s187,s3891,s5868,s3247,s952]) ).

cnf(s7497,plain,
    ( spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s7493,s5028,s3064,s137,s138,s141,s7496,s7494,s740,s6899,s7037,s7036,s187,s3891,s330,s13,s4265,s6,s284,s7489]) ).

cnf(s7498,plain,
    ( spl2_67
    | spl2_115
    | spl2_278
    | ~ spl2_111
    | spl2_216
    | spl2_132
    | ~ spl2_33
    | ~ spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_8
    | ~ spl2_7 ),
    inference(rat,[],[s7355,s1462,s1556,s5451,s7352,s3247,s5992,s1975,s1156,s73,s1898,s6060,s4854,s1644,s188,s5571,s1908,s885,s5064,s1257,s874]) ).

cnf(s7499,plain,
    ( spl2_82
    | ~ spl2_33
    | ~ spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s3247,s860,s5974,s7180,s5842,s1342,s865,s1624,s4133,s1911,s5726,s1942,s2920,s7498,s3032,s5973,s1052,s2977,s73,s4266,s807,s188,s7388,s6858,s1512,s5568,s337,s2,s6,s284,s7489,s223,s3878]) ).

cnf(s7500,plain,
    ( ~ spl2_64
    | ~ spl2_96
    | ~ spl2_24
    | ~ spl2_115
    | spl2_15
    | ~ spl2_33
    | ~ spl2_419
    | ~ spl2_14 ),
    inference(rat,[],[s7343,s4002,s1113,s1169,s5758]) ).

cnf(s7501,plain,
    ( ~ spl2_273
    | spl2_15
    | ~ spl2_82
    | ~ spl2_39
    | ~ spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | spl2_12
    | ~ spl2_14 ),
    inference(rat,[],[s6907,s221,s5726,s936,s2920,s7034,s7500,s94,s7301,s695,s6884,s3247,s141,s2630,s3064,s7385,s7388,s223,s187,s3891]) ).

cnf(s7502,plain,
    ( spl2_198
    | spl2_115
    | spl2_278
    | ~ spl2_111
    | spl2_15
    | ~ spl2_33
    | ~ spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_8
    | ~ spl2_7 ),
    inference(rat,[],[s5726,s2920,s73,s7498,s188,s6858,s1512]) ).

cnf(s7503,plain,
    ( spl2_15
    | ~ spl2_39
    | ~ spl2_419
    | ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s2994,s5509,s94,s2310,s6884,s2064,s2427,s3247,s578,s2630,s3064,s7502,s6110,s3032,s5973,s2977,s4266,s807,s7501,s7360,s6,s284,s7489,s779,s7499,s187,s3891,s7497]) ).

cnf(s7504,plain,
    ( spl2_67
    | ~ spl2_96
    | ~ spl2_24
    | spl2_107
    | ~ spl2_115
    | spl2_116
    | ~ spl2_15
    | spl2_19
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_14 ),
    inference(rat,[],[s1032,s3503,s5334,s929,s2092,s7393,s4002,s1113,s1169,s5758,s7421,s187]) ).

cnf(s7505,plain,
    ( ~ spl2_273
    | spl2_116
    | ~ spl2_15
    | ~ spl2_82
    | ~ spl2_39
    | ~ spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_14 ),
    inference(rat,[],[s5027,s73,s7047,s221,s43,s936,s2920,s7504,s94,s7301,s695,s6884,s3247,s1957,s2630,s7385,s7388,s223,s187,s3891]) ).

cnf(s7506,plain,
    ( ~ spl2_39
    | ~ spl2_419
    | ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s7047,s5027,s43,s73,s2920,s188,s7498,s1512,s2753,s2630,s3247,s860,s7180,s1342,s1624,s5865,s3032,s1911,s5973,s1052,s2977,s4266,s807,s7505,s7454,s136,s7503,s7499,s187,s3891,s2,s6,s284,s7489,s223,s7497]) ).

cnf(s7507,plain,
    ( ~ spl2_198
    | spl2_15
    | spl2_39
    | ~ spl2_73
    | spl2_12
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6856,s7396,s4345,s141,s368,s3064,s2363]) ).

cnf(s7508,plain,
    ( spl2_15
    | spl2_39
    | ~ spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | spl2_12
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s2731,s3321,s6855,s6791,s187,s6723,s6402,s1156,s2920,s1898,s4854,s6077,s6069,s2977,s1644,s73,s4266,s1908,s2994,s5571,s188,s7388,s6858,s1512,s7507,s885,s2363,s1378]) ).

cnf(s7510,plain,
    ( spl2_68
    | ~ spl2_38
    | ~ spl2_24
    | ~ spl2_82
    | spl2_116
    | spl2_27
    | ~ spl2_16
    | spl2_4 ),
    inference(rat,[],[s105,s106,s4480,s6819,s6907,s4730,s5285,s7054,s629,s43,s6889]) ).

cnf(s7511,plain,
    ( ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s431,s5334,s2731,s2092,s4002,s1113,s6819,s1961,s1169,s5758,s1974,s1436,s7421,s1156,s2920,s7510,s6855,s22,s6889,s4345,s578,s5568,s368,s3064,s7385,s7388,s7489,s2363,s7454,s136,s7508,s7506,s7497,s6,s284]) ).

cnf(s7512,plain,
    ( ~ spl2_419
    | ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s43,s6755,s2920,s5027,s7498,s73,s187,s188,s5571,s3271,s1512,s2753,s5974,s2630,s3247,s860,s7180,s5842,s1342,s865,s1624,s4133,s5865,s3032,s1911,s5973,s1052,s2977,s4266,s807,s7511,s7508,s7506,s223,s7497,s2,s6,s284,s7489,s3878]) ).

cnf(s7513,plain,
    ( ~ spl2_68
    | spl2_24
    | ~ spl2_33
    | ~ spl2_614
    | spl2_349
    | ~ spl2_273
    | ~ spl2_39
    | spl2_419
    | spl2_4 ),
    inference(rat,[],[s1203,s6208,s2469,s874,s5540,s4496,s7372,s5680,s7180,s6728,s6645,s4102,s91,s3748,s4622,s3247,s3241]) ).

cnf(s7514,plain,
    ( spl2_82
    | spl2_27
    | ~ spl2_86
    | spl2_68
    | ~ spl2_49
    | spl2_19
    | spl2_349
    | spl2_248
    | spl2_94
    | ~ spl2_39 ),
    inference(rat,[],[s3036,s929,s4133,s6531,s3110,s5643,s7491,s1156,s1942,s2469,s3789,s337,s3321,s3878]) ).

cnf(s7515,plain,
    ( spl2_19
    | spl2_349
    | spl2_248
    | ~ spl2_273
    | spl2_74
    | ~ spl2_39
    | spl2_26
    | spl2_419
    | ~ spl2_8
    | spl2_4 ),
    inference(rat,[],[s221,s222,s5598,s94,s5888,s7034,s7514,s138,s6751,s5726,s4202,s7513,s3247,s23,s6899,s7036,s187,s2,s13,s330,s284,s4622,s3321]) ).

cnf(s7516,plain,
    ( ~ spl2_255
    | spl2_61
    | ~ spl2_68
    | ~ spl2_39
    | spl2_419 ),
    inference(rat,[],[s5640,s1502,s2739,s1074,s73,s4102,s3748]) ).

cnf(s7517,plain,
    ( ~ spl2_284
    | spl2_82
    | spl2_198
    | ~ spl2_273
    | spl2_74
    | ~ spl2_73 ),
    inference(rat,[],[s7134,s6125,s4042,s7271,s5516,s5619,s3321,s3494,s1512,s3445,s3229,s337,s6579]) ).

cnf(s7518,plain,
    ( spl2_284
    | spl2_276
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_24
    | spl2_349
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_7 ),
    inference(rat,[],[s6124,s5546,s7132,s5034,s5490,s1120,s1502,s2739,s1171,s1074,s5451,s618,s73,s4102,s3748,s4265]) ).

cnf(s7519,plain,
    ( ~ spl2_68
    | ~ spl2_24
    | ~ spl2_19
    | spl2_198
    | ~ spl2_273
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s113,s6514,s7034,s2393,s7517,s7518,s4196,s7180,s6728,s5758,s73,s6645,s4102,s91,s3748,s13,s6109,s4622,s4265,s3445,s3229,s3321,s3494,s1512]) ).

cnf(s7520,plain,
    ( ~ spl2_89
    | spl2_286
    | spl2_386
    | ~ spl2_255
    | spl2_68
    | ~ spl2_19
    | ~ spl2_614
    | spl2_349
    | ~ spl2_273
    | spl2_74
    | ~ spl2_39 ),
    inference(rat,[],[s6124,s6940,s3021,s5024,s929,s1936,s6531,s1045,s1940,s5643,s4097,s5619,s43]) ).

cnf(s7521,plain,
    ( spl2_82
    | spl2_68
    | ~ spl2_40
    | ~ spl2_19
    | spl2_198
    | ~ spl2_273
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_7 ),
    inference(rat,[],[s1154,s1153,s7132,s6124,s1526,s4196,s7180,s6728,s5490,s6645,s73,s6515,s4480,s6581,s1936,s1942,s1941,s1156,s7520,s6760,s7029,s2739,s1074,s1248,s5451,s618,s3970,s7517,s337,s4265,s13,s6109,s3445,s3229,s3321,s3494,s1512]) ).

cnf(s7522,plain,
    ( ~ spl2_24
    | spl2_116
    | ~ spl2_19
    | spl2_198
    | ~ spl2_273
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_8
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s6337,s4844,s874,s7180,s73,s1203,s5024,s221,s6581,s1052,s1936,s936,s6514,s222,s6764,s1941,s6126,s7047,s7034,s2772,s7521,s4202,s43,s7519,s23,s4265,s13,s6109,s3321,s3494,s1512]) ).

cnf(s7523,plain,
    ( ~ spl2_68
    | spl2_48
    | ~ spl2_609
    | ~ spl2_49
    | spl2_198
    | ~ spl2_273
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_7 ),
    inference(rat,[],[s5451,s7516,s7517,s3110,s3520,s5540,s4496,s5680,s7180,s6728,s5501,s6645,s1644,s4102,s91,s3748,s13,s6109,s4622,s4265,s3445,s3229,s3321,s3494,s1512]) ).

cnf(s7524,plain,
    ( spl2_82
    | ~ spl2_609
    | ~ spl2_49
    | ~ spl2_19
    | spl2_198
    | ~ spl2_273
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_7 ),
    inference(rat,[],[s695,s5540,s4496,s5680,s7180,s6728,s6645,s6515,s1156,s7520,s6654,s2739,s1074,s1248,s5451,s3789,s7517,s13,s6109,s3445,s3229,s3321,s3494,s1512,s6581,s7523,s2469,s3271,s4265]) ).

cnf(s7525,plain,
    ( spl2_198
    | ~ spl2_273
    | spl2_26
    | ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s6514,s6126,s7034,s2772,s7524,s4202,s43,s7523,s6581,s2469,s3271,s3241,s3247,s7522,s7259,s7515,s3445,s3494,s3229,s1512,s7489,s7512,s4265,s6,s284,s13,s6109]) ).

cnf(s7526,plain,
    ( spl2_19
    | ~ spl2_115
    | ~ spl2_273
    | spl2_94
    | ~ spl2_39
    | spl2_26
    | ~ spl2_8
    | spl2_4 ),
    inference(rat,[],[s931,s3036,s7372,s7186,s23,s6899,s7037,s7036,s187,s284,s13,s952]) ).

cnf(s7527,plain,
    ( ~ spl2_68
    | ~ spl2_24
    | ~ spl2_19
    | ~ spl2_82
    | spl2_74
    | ~ spl2_21
    | ~ spl2_39
    | spl2_419
    | ~ spl2_14 ),
    inference(rat,[],[s6514,s113,s7034,s2393,s5758,s73,s4102,s3748]) ).

cnf(s7528,plain,
    ( spl2_248
    | ~ spl2_60
    | spl2_75
    | ~ spl2_57
    | ~ spl2_19
    | ~ spl2_115
    | ~ spl2_82 ),
    inference(rat,[],[s5024,s1052,s6338,s6764,s4844,s3321]) ).

cnf(s7529,plain,
    ( spl2_349
    | ~ spl2_317
    | ~ spl2_115
    | ~ spl2_82
    | spl2_94
    | ~ spl2_21
    | ~ spl2_39 ),
    inference(rat,[],[s4133,s3036,s694,s1602,s3441,s799,s3878]) ).

cnf(s7530,plain,
    ( spl2_284
    | spl2_268
    | ~ spl2_588
    | ~ spl2_24
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_7 ),
    inference(rat,[],[s2887,s6124,s5034,s6940,s1120,s2739,s1074,s1248,s5451,s618,s4265,s13]) ).

cnf(s7531,plain,
    ( spl2_286
    | ~ spl2_289
    | ~ spl2_278
    | ~ spl2_110
    | ~ spl2_60
    | ~ spl2_77
    | ~ spl2_82
    | spl2_74 ),
    inference(rat,[],[s1579,s7107,s6125,s5306,s2246,s4485]) ).

cnf(s7532,plain,
    ( spl2_268
    | ~ spl2_37
    | spl2_288
    | ~ spl2_321
    | ~ spl2_588
    | ~ spl2_60
    | ~ spl2_77
    | ~ spl2_24
    | ~ spl2_19
    | ~ spl2_115
    | ~ spl2_82
    | ~ spl2_198
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s6124,s5517,s3659,s880,s2528,s7531,s3073,s7530,s6748,s5853,s6338,s879]) ).

cnf(s7533,plain,
    ( ~ spl2_24
    | ~ spl2_19
    | spl2_617
    | spl2_116
    | ~ spl2_198
    | ~ spl2_273
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s803,s7532,s5495,s4133,s694,s6442,s929,s806,s1108,s6480,s7529,s6479,s7528,s3879,s73,s1942,s221,s6581,s1936,s222,s936,s6514,s1941,s6126,s7047,s7054,s43,s7527,s284,s6109,s4622,s4265,s874,s1957,s2772,s13,s5568,s3878]) ).

cnf(s7534,plain,
    ( ~ spl2_64
    | spl2_505
    | ~ spl2_115
    | ~ spl2_273
    | ~ spl2_73
    | ~ spl2_8 ),
    inference(rat,[],[s3494,s2092,s3150,s1169,s4202]) ).

cnf(s7535,plain,
    ( ~ spl2_273
    | spl2_26
    | ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s3494,s3150,s3321,s43,s5501,s6126,s6123,s6514,s7034,s7534,s6581,s3271,s5868,s3247,s7533,s7526,s2772,s3520,s3446,s7360,s874,s779,s1957,s5568,s7525,s7489,s13,s330,s6109,s4622,s4265,s6,s284,s7512]) ).

cnf(s7536,plain,
    ( ~ spl2_33
    | spl2_82
    | ~ spl2_107
    | ~ spl2_49
    | spl2_363
    | ~ spl2_247
    | spl2_15
    | ~ spl2_39
    | spl2_419 ),
    inference(rat,[],[s2730,s3321,s5726,s6728,s73,s3789,s2469,s1203,s6208,s4133,s3036,s4622,s7180,s5813,s3100,s3878]) ).

cnf(s7537,plain,
    ( spl2_284
    | ~ spl2_247
    | spl2_74
    | ~ spl2_21
    | ~ spl2_39
    | spl2_419
    | ~ spl2_7 ),
    inference(rat,[],[s6940,s6124,s2739,s3021,s1074,s1248,s5451,s5813,s3100]) ).

cnf(s7540,plain,
    ( ~ spl2_314
    | ~ spl2_417
    | spl2_286
    | spl2_86
    | ~ spl2_265
    | spl2_386 ),
    inference(rat,[],[s6555,s3878]) ).

cnf(s7542,plain,
    ( ~ spl2_297
    | ~ spl2_265
    | spl2_68
    | ~ spl2_314
    | ~ spl2_417
    | spl2_579 ),
    inference(rat,[],[s6553,s3878]) ).

cnf(s7544,plain,
    ( ~ spl2_417
    | ~ spl2_314
    | spl2_73
    | ~ spl2_265
    | ~ spl2_294
    | spl2_428 ),
    inference(rat,[],[s6551,s3878]) ).

cnf(s7552,plain,
    ( spl2_73
    | spl2_501
    | ~ spl2_8 ),
    inference(rat,[],[s5286,s3878]) ).

cnf(s7557,plain,
    ( ~ spl2_270
    | ~ spl2_295
    | spl2_73
    | ~ spl2_294
    | ~ spl2_261
    | spl2_428 ),
    inference(rat,[],[s5240,s3878]) ).

cnf(s7558,plain,
    ( ~ spl2_270
    | ~ spl2_295
    | ~ spl2_261
    | spl2_286
    | spl2_255
    | ~ spl2_665 ),
    inference(rat,[],[s5239,s3878]) ).

cnf(s7559,plain,
    ( ~ spl2_270
    | ~ spl2_261
    | spl2_68
    | ~ spl2_295
    | ~ spl2_297
    | spl2_579 ),
    inference(rat,[],[s5238,s3878]) ).

cnf(s7569,plain,
    ( spl2_500
    | spl2_78
    | ~ spl2_8
    | ~ spl2_89 ),
    inference(rat,[],[s4627,s3878]) ).

cnf(s7570,plain,
    ( spl2_106
    | spl2_288 ),
    inference(rat,[],[s4133,s3878]) ).

cnf(s7572,plain,
    ( ~ spl2_58
    | spl2_638
    | ~ spl2_14
    | spl2_73 ),
    inference(rat,[],[s4119,s3878]) ).

cnf(s7573,plain,
    ( spl2_295
    | spl2_384 ),
    inference(rat,[],[s4050,s3878]) ).

cnf(s7574,plain,
    ( spl2_313
    | spl2_314 ),
    inference(rat,[],[s3881,s3878]) ).

cnf(s7575,plain,
    ( spl2_315
    | spl2_316 ),
    inference(rat,[],[s3880,s3878]) ).

cnf(s7576,plain,
    ( spl2_317
    | spl2_78
    | ~ spl2_58 ),
    inference(rat,[],[s3879,s3878]) ).

cnf(s7577,plain,
    ( ~ spl2_286
    | ~ spl2_19
    | ~ spl2_284
    | ~ spl2_25 ),
    inference(rat,[],[s4311,s2528]) ).

cnf(s7578,plain,
    ( spl2_82
    | spl2_254
    | ~ spl2_284
    | spl2_115
    | ~ spl2_112
    | spl2_363
    | ~ spl2_247
    | spl2_74
    | spl2_15
    | ~ spl2_39
    | spl2_419
    | ~ spl2_73 ),
    inference(rat,[],[s4244,s6124,s2455,s6644,s6559,s4358,s2386,s6125,s5640,s6720,s7577,s73,s3789,s2469,s3271,s187,s4042,s7536,s6579,s337,s7180,s3247,s6558,s879,s5813,s3100,s2665,s1257,s874]) ).

cnf(s7579,plain,
    ( spl2_254
    | ~ spl2_284
    | ~ spl2_20
    | ~ spl2_112
    | spl2_363
    | ~ spl2_247
    | spl2_74
    | spl2_15
    | ~ spl2_39
    | spl2_419
    | ~ spl2_73
    | spl2_12
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7054,s102,s43,s6581,s2730,s3271,s3321,s7038,s6799,s1052,s6124,s1579,s6644,s2065,s4358,s6125,s7045,s6720,s5919,s6580,s6242,s7360,s94,s779,s7578,s7180,s3247,s879,s5813,s3100,s6583,s7186,s3036,s4622]) ).

cnf(s7580,plain,
    ( spl2_26
    | ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s6728,s5070,s221,s806,s936,s6124,s222,s7034,s4244,s94,s6434,s141,s4202,s3073,s5568,s3064,s3150,s1512,s5516,s7579,s7537,s5868,s3247,s879,s6647,s4691,s7180,s7570,s5813,s3036,s3100,s6642,s4266,s807,s7535,s4622,s6109,s330,s13,s4265,s6,s284,s7489,s7512]) ).

cnf(s7581,plain,
    ( ~ spl2_68
    | spl2_104
    | ~ spl2_505
    | spl2_74
    | ~ spl2_51
    | ~ spl2_33
    | ~ spl2_24
    | spl2_94
    | ~ spl2_39
    | ~ spl2_8 ),
    inference(rat,[],[s7179,s1975,s6457,s5869,s91]) ).

cnf(s7582,plain,
    ( spl2_19
    | ~ spl2_24
    | ~ spl2_82
    | ~ spl2_115
    | ~ spl2_273
    | spl2_116
    | spl2_94
    | ~ spl2_39
    | ~ spl2_26
    | ~ spl2_8
    | spl2_4 ),
    inference(rat,[],[s6479,s936,s5580,s7054,s43,s7581,s3276,s3336,s3859,s94,s3136,s929,s5509,s7301,s3036,s5565,s695,s7186,s93,s6884,s187,s284,s2679]) ).

cnf(s7583,plain,
    ( ~ spl2_247
    | ~ spl2_60
    | ~ spl2_68
    | ~ spl2_82
    | ~ spl2_115
    | ~ spl2_39
    | spl2_419 ),
    inference(rat,[],[s6338,s4844,s5813,s2730,s3100]) ).

cnf(s7584,plain,
    ( ~ spl2_68
    | spl2_594
    | ~ spl2_19
    | ~ spl2_24
    | ~ spl2_82
    | ~ spl2_115
    | spl2_116
    | ~ spl2_39
    | spl2_419
    | spl2_4 ),
    inference(rat,[],[s2773,s7180,s799,s5024,s5029,s3859,s929,s7583,s1936,s113,s1941,s7034,s5758,s73,s4102,s91,s284,s4622]) ).

cnf(s7585,plain,
    ( ~ spl2_247
    | ~ spl2_76
    | ~ spl2_248
    | ~ spl2_67
    | ~ spl2_24
    | ~ spl2_115
    | spl2_94
    | ~ spl2_39 ),
    inference(rat,[],[s799,s806,s3404,s5069,s7570,s2635,s3036]) ).

cnf(s7586,plain,
    ( spl2_284
    | spl2_20
    | ~ spl2_24
    | ~ spl2_39
    | spl2_419
    | ~ spl2_7 ),
    inference(rat,[],[s2739,s1074,s5634,s5451]) ).

cnf(s7587,plain,
    ( ~ spl2_255
    | ~ spl2_286
    | ~ spl2_39
    | spl2_419 ),
    inference(rat,[],[s2739,s1074]) ).

cnf(s7588,plain,
    ( ~ spl2_273
    | ~ spl2_39
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s4821,s6125,s1154,s4431,s7127,s2449,s7587,s7531,s3073,s7586,s7576,s1942,s6581,s6480,s5029,s6338,s799,s5024,s1601,s3859,s3136,s929,s7585,s94,s1888,s6060,s4854,s1644,s5598,s936,s6479,s7528,s73,s4480,s1936,s1941,s7047,s7054,s629,s43,s7584,s6855,s7582,s3247,s2630,s5568,s7385,s2679,s7388,s6,s284,s7489,s4622,s7427]) ).

cnf(s7589,plain,
    ( spl2_399
    | spl2_68
    | ~ spl2_105
    | ~ spl2_107
    | spl2_112
    | spl2_496
    | spl2_86
    | ~ spl2_111
    | ~ spl2_39
    | spl2_419
    | ~ spl2_14 ),
    inference(rat,[],[s2738,s2307,s1142,s1289,s6548,s6408,s6117,s1730,s1335,s7574,s6653,s3774]) ).

cnf(s7590,plain,
    ( ~ spl2_24
    | spl2_82
    | spl2_198
    | ~ spl2_247
    | spl2_273
    | ~ spl2_39
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | spl2_4 ),
    inference(rat,[],[s2672,s2250,s3110,s7487,s7589,s6454,s1203,s4823,s6583,s874,s1052,s7186,s860,s6563,s879,s284,s2,s807,s7353,s3970,s337,s799,s6084,s4854,s1644,s5571,s6858,s188,s1512,s7570,s3036,s4622,s7180,s5813,s3100]) ).

cnf(s7591,plain,
    ( ~ spl2_68
    | ~ spl2_105
    | ~ spl2_107
    | ~ spl2_89
    | spl2_346
    | ~ spl2_247
    | spl2_419 ),
    inference(rat,[],[s6712,s1203,s3321,s6454,s2730]) ).

cnf(s7592,plain,
    ( ~ spl2_255
    | spl2_74
    | ~ spl2_247
    | ~ spl2_39
    | spl2_419 ),
    inference(rat,[],[s6952,s6940,s6125,s6124,s3097,s7587,s3021,s1074,s5813,s3100,s7570,s3036,s4622]) ).

cnf(s7593,plain,
    ( spl2_198
    | ~ spl2_247
    | ~ spl2_39
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_7 ),
    inference(rat,[],[s6385,s2253,s4855,s2258,s5594,s5516,s3426,s5451,s7592,s1888,s6060,s4854,s1644,s73,s5571,s188,s6858,s1512,s885]) ).

cnf(s7594,plain,
    ( ~ spl2_39
    | ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s102,s1436,s2076,s2310,s5509,s2994,s6581,s94,s1203,s6110,s2427,s874,s1052,s7186,s860,s6563,s3247,s578,s2630,s5568,s3064,s7593,s7180,s5813,s3036,s3100,s4266,s7588,s4622,s2,s6,s284,s7489,s7512,s7580]) ).

cnf(s7595,plain,
    ( ~ spl2_288
    | ~ spl2_76
    | spl2_77
    | ~ spl2_67
    | ~ spl2_24
    | ~ spl2_15
    | ~ spl2_115 ),
    inference(rat,[],[s5029,s799,s1052,s3404,s1911]) ).

cnf(s7596,plain,
    ( ~ spl2_247
    | ~ spl2_68
    | ~ spl2_19
    | ~ spl2_24
    | ~ spl2_15
    | ~ spl2_82
    | ~ spl2_115
    | ~ spl2_273
    | spl2_419
    | ~ spl2_14 ),
    inference(rat,[],[s879,s904,s5853,s5495,s6748,s7570,s7595,s3661,s6515,s113,s1941,s7034,s1169,s2092,s2730]) ).

cnf(s7597,plain,
    ( ~ spl2_273
    | spl2_39
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | spl2_12
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s3197,s7570,s5024,s4196,s1918,s7187,s3859,s929,s7596,s7510,s6889,s22,s6880,s7454,s4345,s141,s578,s7507,s1957,s5568,s368,s3064,s7385,s7388,s284,s2363]) ).

cnf(s7598,plain,
    ( ~ spl2_24
    | ~ spl2_78
    | spl2_86
    | spl2_273
    | spl2_20
    | ~ spl2_16
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | spl2_12
    | ~ spl2_8
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s1342,s1624,s3032,s1911,s5973,s1052,s5024,s1933,s1942,s7421,s6856,s7180,s7430,s5758,s6884,s6563,s125,s223]) ).

cnf(s7599,plain,
    ( ~ spl2_33
    | ~ spl2_277
    | spl2_115
    | ~ spl2_78
    | ~ spl2_76
    | spl2_86
    | ~ spl2_247
    | spl2_39
    | spl2_419 ),
    inference(rat,[],[s6645,s6728,s4823,s3321,s6454,s2730,s43,s1942,s6755,s6402,s5027,s2363,s4886,s73,s1644]) ).

cnf(s7600,plain,
    ( spl2_115
    | ~ spl2_49
    | ~ spl2_78
    | spl2_198
    | ~ spl2_247
    | spl2_273
    | spl2_39
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_14 ),
    inference(rat,[],[s1974,s6077,s1156,s6454,s5029,s4823,s5987,s799,s6418,s6084,s694,s7570,s865,s5842,s5974,s6581,s3271,s187,s7599,s7180,s4496,s5064,s1257,s874,s2363,s4886,s73,s188,s1512,s1644,s5571,s6858]) ).

cnf(s7601,plain,
    ( spl2_82
    | spl2_198
    | spl2_273
    | spl2_39
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | spl2_12
    | ~ spl2_8
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s5640,s2258,s4042,s7352,s3426,s7429,s7600,s3247,s7598,s6579,s337,s885,s2363,s152,s4266,s1888,s6069,s73,s1378,s188,s1512,s5571,s6858]) ).

cnf(s7602,plain,
    ( ~ spl2_24
    | spl2_115
    | ~ spl2_82
    | ~ spl2_60
    | spl2_20
    | spl2_39
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | spl2_12
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s696,s1624,s4844,s1342,s2730,s7180,s7510,s7430,s6563,s22,s125,s284,s223,s2363,s4266,s7597]) ).

cnf(s7603,plain,
    ( ~ spl2_67
    | ~ spl2_349
    | ~ spl2_68
    | ~ spl2_247 ),
    inference(rat,[],[s1108,s806,s279]) ).

cnf(s7604,plain,
    ( spl2_284
    | ~ spl2_68
    | ~ spl2_82
    | spl2_74
    | spl2_273
    | spl2_419
    | ~ spl2_7 ),
    inference(rat,[],[s5006,s2445,s6124,s1502,s3021,s1074,s5451,s618,s3100,s4266]) ).

cnf(s7605,plain,
    ( ~ spl2_284
    | spl2_198
    | ~ spl2_26
    | ~ spl2_73 ),
    inference(rat,[],[s6385,s4855,s2253,s2258,s5516,s5594,s3426,s885,s5571,s6858,s73,s188,s1512]) ).

cnf(s7606,plain,
    ( spl2_115
    | spl2_289
    | ~ spl2_266
    | ~ spl2_67
    | spl2_61
    | ~ spl2_255
    | ~ spl2_82
    | spl2_282
    | ~ spl2_60
    | spl2_20
    | spl2_39
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | spl2_12
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s6832,s1176,s4850,s2635,s2042,s5069,s806,s6447,s7180,s4496,s3247,s7602,s5064,s1257,s874,s4266,s7597]) ).

cnf(s7607,plain,
    ( spl2_198
    | ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s7429,s7606,s4244,s6650,s6125,s7034,s6124,s3097,s2340,s4202,s3021,s1074,s7604,s5451,s7605,s7601,s1888,s970,s6069,s73,s1908,s5571,s188,s6858,s1512,s885,s2363,s1378,s152,s7489,s807,s3100,s4266,s7597,s7594,s7580,s6,s284,s7512]) ).

cnf(s7608,plain,
    ( spl2_115
    | ~ spl2_24
    | ~ spl2_82
    | spl2_20
    | spl2_39
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | spl2_12
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s7331,s73,s3352,s7602,s874,s7180,s6563,s7597]) ).

cnf(s7609,plain,
    ( ~ spl2_73
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s3404,s799,s6515,s6748,s806,s113,s3661,s7034,s1940,s1169,s5973,s2092,s3032,s7608,s1972,s2730,s5480,s7180,s7510,s6884,s6563,s22,s7454,s4345,s141,s7507,s5568,s368,s3064,s7607,s4266,s7597,s152,s2363,s7594,s7580,s7512,s6,s284,s7489]) ).

cnf(s7610,plain,
    ( ~ spl2_419
    | spl2_61
    | spl2_26
    | ~ spl2_39
    | ~ spl2_68
    | spl2_500
    | ~ spl2_8
    | ~ spl2_14 ),
    inference(rat,[],[s3918,s160,s3247,s6819,s138,s73,s23,s5992,s5028,s7569,s7036,s187,s1156,s3891,s2920,s13]) ).

cnf(s7611,plain,
    ( ~ spl2_247
    | spl2_115
    | ~ spl2_78
    | spl2_419
    | spl2_61
    | ~ spl2_39
    | ~ spl2_68 ),
    inference(rat,[],[s1156,s7591,s7603,s4823,s6447,s6779,s7180,s5813,s3100,s73,s4102,s3748,s874]) ).

cnf(s7612,plain,
    ( spl2_67
    | ~ spl2_322
    | spl2_27
    | spl2_115
    | spl2_82
    | ~ spl2_49
    | spl2_61
    | ~ spl2_68 ),
    inference(rat,[],[s6454,s4823,s3271,s5643,s7491,s1156,s337]) ).

cnf(s7613,plain,
    ( spl2_115
    | spl2_82
    | spl2_198
    | ~ spl2_273
    | ~ spl2_49
    | spl2_74
    | spl2_419
    | spl2_61
    | ~ spl2_39
    | ~ spl2_68
    | spl2_12
    | ~ spl2_7 ),
    inference(rat,[],[s799,s6711,s4823,s4496,s6454,s2469,s1942,s7612,s7263,s929,s7611,s141,s1255,s1257,s6786,s874,s7516,s73,s4102,s3748,s337]) ).

cnf(s7614,plain,
    ( ~ spl2_115
    | ~ spl2_273
    | ~ spl2_49
    | ~ spl2_20
    | spl2_116
    | spl2_94
    | spl2_26
    | ~ spl2_39
    | ~ spl2_8
    | spl2_4 ),
    inference(rat,[],[s3859,s6748,s929,s3332,s3036,s3271,s695,s7186,s7526]) ).

cnf(s7615,plain,
    ( ~ spl2_82
    | ~ spl2_49
    | spl2_74
    | ~ spl2_20
    | ~ spl2_76
    | spl2_26
    | ~ spl2_68
    | spl2_500
    | ~ spl2_8
    | ~ spl2_5 ),
    inference(rat,[],[s6514,s113,s1156,s7569,s116,s6454,s3271,s187,s94,s5888]) ).

cnf(s7616,plain,
    ( ~ spl2_273
    | spl2_26
    | ~ spl2_39
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s7613,s1957,s874,s7614,s7252,s7615,s3247,s5758,s5892,s7162,s1888,s6069,s1377,s5629,s73,s4102,s3748,s91,s4622,s7610,s5890,s13,s4264,s6,s284,s4124,s7609,s7489,s2]) ).

cnf(s7617,plain,
    ( spl2_26
    | ~ spl2_39
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s2092,s7611,s2730,s4266,s7616,s337,s7615,s3247,s1888,s5758,s1169,s6069,s5629,s5892,s73,s91,s4102,s4622,s3748,s7610,s5890,s13,s1377,s2,s7489,s7162,s4124,s4264,s7609,s6,s284]) ).

cnf(s7618,plain,
    ( ~ spl2_24
    | spl2_82
    | ~ spl2_33
    | spl2_67
    | ~ spl2_26
    | spl2_73
    | ~ spl2_8
    | ~ spl2_5 ),
    inference(rat,[],[s229,s73,s353,s5894,s1975,s223,s1156]) ).

cnf(s7619,plain,
    ( spl2_115
    | ~ spl2_288
    | ~ spl2_273
    | ~ spl2_49
    | spl2_82
    | spl2_19
    | spl2_67
    | ~ spl2_419
    | ~ spl2_26
    | spl2_12 ),
    inference(rat,[],[s2989,s1974,s6881,s7467,s3110,s73,s7491,s3789,s141,s5064,s1255,s1257,s6786,s874,s1156,s7180,s1549,s2630,s885]) ).

cnf(s7620,plain,
    ( ~ spl2_273
    | ~ spl2_49
    | spl2_82
    | spl2_216
    | ~ spl2_455
    | spl2_19
    | spl2_67
    | ~ spl2_419
    | ~ spl2_26
    | spl2_12
    | ~ spl2_8 ),
    inference(rat,[],[s931,s5967,s959,s2977,s2989,s2825,s6881,s6338,s2092,s7619,s1549,s5602,s885,s187,s2630]) ).

cnf(s7621,plain,
    ( spl2_82
    | spl2_216
    | spl2_19
    | ~ spl2_419
    | ~ spl2_26
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s5644,s4854,s1114,s3789,s7573,s1644,s2258,s5064,s4584,s6643,s3426,s5594,s1257,s4330,s7378,s2635,s6881,s874,s799,s3321,s3032,s7046,s6712,s5973,s1052,s2977,s1640,s4266,s807,s7620,s2630,s3247,s7618,s7489,s7162,s885,s1878,s187,s5889,s1156,s2920,s4264,s6,s284,s7609,s2]) ).

cnf(s7622,plain,
    ( ~ spl2_24
    | ~ spl2_64
    | ~ spl2_78
    | ~ spl2_33
    | spl2_67
    | ~ spl2_26
    | ~ spl2_8 ),
    inference(rat,[],[s221,s6381,s5758,s1975,s223]) ).

cnf(s7623,plain,
    ( spl2_393
    | spl2_496
    | ~ spl2_105
    | spl2_198
    | ~ spl2_78
    | spl2_19
    | spl2_67
    | ~ spl2_303
    | ~ spl2_63 ),
    inference(rat,[],[s2326,s3451,s1142,s4125,s7039,s7305,s1208]) ).

cnf(s7624,plain,
    ( spl2_115
    | ~ spl2_273
    | ~ spl2_49
    | ~ spl2_118
    | ~ spl2_78
    | ~ spl2_419
    | ~ spl2_26
    | ~ spl2_39
    | spl2_73
    | spl2_12
    | ~ spl2_7
    | spl2_4 ),
    inference(rat,[],[s2326,s5432,s3451,s6716,s2198,s1289,s1273,s4664,s7623,s7353,s6454,s6480,s4823,s799,s6084,s7373,s4854,s1974,s6123,s6381,s6380,s6479,s3110,s5028,s73,s3918,s5064,s1257,s874,s7162,s1878,s1156,s2920,s187,s3891,s2679,s5602,s5509,s5869,s4264,s7180,s1549,s2630,s885]) ).

cnf(s7625,plain,
    ( ~ spl2_273
    | ~ spl2_419
    | ~ spl2_39
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s931,s5967,s959,s2977,s6381,s2825,s6479,s6338,s2092,s7624,s1549,s2679,s885,s5889,s2,s1429,s2630,s3247,s7622,s7034,s7621,s5509,s5869,s7569,s1156,s4124,s187,s3891,s2920,s4264,s7609,s6,s284,s7489,s7617]) ).

cnf(s7626,plain,
    ( spl2_393
    | ~ spl2_269
    | ~ spl2_284
    | ~ spl2_105
    | spl2_198
    | ~ spl2_78
    | spl2_19
    | spl2_67
    | spl2_74
    | ~ spl2_303
    | ~ spl2_63 ),
    inference(rat,[],[s6122,s4371,s3451,s4066,s4125,s7623,s7305]) ).

cnf(s7627,plain,
    ( ~ spl2_419
    | ~ spl2_39
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s2326,s5432,s3451,s6716,s2198,s1289,s1273,s4664,s7626,s5594,s6454,s7378,s4823,s2635,s7379,s799,s3321,s3032,s7046,s6712,s5973,s1052,s2977,s1640,s4266,s807,s7625,s2630,s3247,s7622,s1429,s7034,s7621,s5509,s5869,s7569,s187,s1156,s3891,s2920,s7489,s7162,s4124,s4264,s6,s284,s885,s1878,s7617,s7609]) ).

cnf(s7628,plain,
    ( spl2_115
    | ~ spl2_288
    | ~ spl2_273
    | spl2_82
    | ~ spl2_666
    | ~ spl2_60
    | ~ spl2_303
    | ~ spl2_68 ),
    inference(rat,[],[s6712,s1156,s3321,s1203,s1942,s6881,s6454,s4330,s4823,s4835,s799,s6084,s6779,s7180,s1549,s1957,s874,s337]) ).

cnf(s7629,plain,
    ( ~ spl2_273
    | spl2_216
    | spl2_82
    | ~ spl2_666
    | ~ spl2_60
    | ~ spl2_26
    | ~ spl2_68
    | spl2_73
    | ~ spl2_8
    | spl2_4 ),
    inference(rat,[],[s5853,s5194,s5029,s7603,s113,s1156,s5889,s2092,s6881,s4330,s4835,s799,s6084,s7180,s1549,s2630,s3247,s5893,s7186,s7628,s5565,s5602,s284,s2,s885]) ).

cnf(s7630,plain,
    ( spl2_273
    | spl2_419
    | ~ spl2_39
    | spl2_73
    | ~ spl2_7 ),
    inference(rat,[],[s694,s6418,s7570,s5293,s3036,s2730,s4266,s7162,s91,s4622,s4264]) ).

cnf(s7631,plain,
    ( spl2_82
    | ~ spl2_273
    | ~ spl2_666
    | ~ spl2_60
    | ~ spl2_26
    | ~ spl2_39
    | ~ spl2_68
    | spl2_73
    | ~ spl2_8
    | spl2_4 ),
    inference(rat,[],[s5509,s5869,s7629,s337]) ).

cnf(s7632,plain,
    ( ~ spl2_89
    | ~ spl2_349
    | spl2_346
    | ~ spl2_277
    | spl2_115
    | ~ spl2_60
    | ~ spl2_76
    | spl2_419
    | ~ spl2_68
    | spl2_500
    | spl2_73
    | ~ spl2_8
    | ~ spl2_5 ),
    inference(rat,[],[s186,s6444,s3271,s7591,s6454,s3247,s4823,s5894,s1974,s7569,s874]) ).

cnf(s7633,plain,
    ( spl2_255
    | ~ spl2_617
    | spl2_198
    | ~ spl2_273
    | spl2_74
    | ~ spl2_26
    | ~ spl2_7 ),
    inference(rat,[],[s6125,s4429,s7271,s5594,s5451,s2449,s6858]) ).

cnf(s7634,plain,
    ( spl2_115
    | ~ spl2_82
    | spl2_419
    | ~ spl2_26
    | ~ spl2_39
    | spl2_500
    | spl2_73
    | ~ spl2_8
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s1582,s507,s5625,s6124,s6559,s5594,s6940,s5644,s4046,s7573,s1114,s1502,s5253,s7587,s1074,s7633,s3271,s3247,s20,s94,s46,s102,s187,s6916,s6442,s931,s5029,s1936,s877,s7603,s113,s1941,s1156,s7632,s799,s6084,s694,s970,s6779,s7180,s5602,s1908,s1549,s6858,s1957,s874,s7162,s885,s1878,s73,s6060,s4854,s1644,s4102,s3748,s91,s4622,s4264,s7630]) ).

cnf(s7635,plain,
    ( spl2_198
    | spl2_247
    | ~ spl2_115
    | ~ spl2_95
    | spl2_419
    | ~ spl2_26
    | ~ spl2_39
    | spl2_73
    | ~ spl2_7 ),
    inference(rat,[],[s441,s2455,s618,s6559,s5594,s5644,s7573,s5253,s1114,s1502,s3271,s7587,s1074,s3247,s7633,s5893,s6442,s187,s695,s694,s970,s1032,s5602,s1908,s1549,s6858,s885,s1878,s73,s6060,s4854,s1644,s4102,s3748,s91,s4622,s7630,s3503,s929,s7252,s4264]) ).

cnf(s7636,plain,
    ( ~ spl2_39
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s7584,s7582,s3247,s2630,s7635,s7583,s7634,s621,s7631,s7630,s4854,s1644,s73,s91,s4102,s7252,s4622,s3748,s7627,s7617,s2,s7489,s4124,s4264,s7609,s6,s284]) ).

cnf(s7637,plain,
    ( ~ spl2_273
    | ~ spl2_61
    | spl2_216
    | ~ spl2_141
    | ~ spl2_26 ),
    inference(rat,[],[s3110,s6479,s5602,s2679]) ).

cnf(s7638,plain,
    ( ~ spl2_419
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s2449,s1462,s6437,s5094,s5435,s6385,s2258,s2253,s3426,s5594,s7374,s2635,s799,s3321,s7046,s6712,s1052,s2977,s1640,s4266,s807,s7637,s5028,s7621,s187,s3271,s6454,s2753,s116,s2630,s3247,s5893,s73,s6245,s221,s1644,s6380,s3453,s6723,s7569,s3695,s1156,s2920,s2,s7162,s4124,s4264,s2363,s152,s7489,s885,s223,s1878,s4265,s7636,s6,s284,s7609]) ).

cnf(s7639,plain,
    ( spl2_76
    | spl2_268
    | spl2_82
    | spl2_588
    | spl2_419
    | spl2_20
    | ~ spl2_26
    | ~ spl2_16
    | ~ spl2_68
    | spl2_73
    | ~ spl2_5 ),
    inference(rat,[],[s874,s7591,s116,s2092,s994,s3247,s5889,s6728,s6779,s5893,s1156,s3321,s73,s349,s6479,s229,s344,s6381,s1658,s353,s223,s1878,s337,s6808,s7180]) ).

cnf(s7641,plain,
    ( ~ spl2_24
    | ~ spl2_115
    | spl2_116
    | spl2_77
    | ~ spl2_67
    | ~ spl2_76
    | ~ spl2_288
    | ~ spl2_16 ),
    inference(rat,[],[s7595,s6856]) ).

cnf(s7642,plain,
    ( ~ spl2_33
    | ~ spl2_67
    | ~ spl2_76
    | ~ spl2_288
    | spl2_268
    | spl2_419
    | spl2_39
    | ~ spl2_68 ),
    inference(rat,[],[s3110,s2730,s6570,s929,s5029,s6209,s6387,s1032,s2363,s7180,s694,s113]) ).

cnf(s7643,plain,
    ( spl2_198
    | spl2_82
    | ~ spl2_273
    | spl2_419
    | ~ spl2_26
    | spl2_39
    | ~ spl2_68
    | spl2_73
    | ~ spl2_8
    | spl2_4 ),
    inference(rat,[],[s7629,s4854,s73,s4480,s187,s7642,s1933,s1942,s3695,s3453,s1644,s7639,s5602,s1549,s6858,s284,s2,s2363,s152,s885,s2679,s337]) ).

cnf(s7644,plain,
    ( spl2_82
    | ~ spl2_273
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s1933,s46,s1942,s1156,s6723,s6380,s221,s73,s20,s6884,s5893,s4345,s368,s7643,s337,s4124,s4264,s2363,s152,s7489,s223,s1878,s4265,s7636,s6,s284,s7609,s7638]) ).

cnf(s7645,plain,
    ( ~ spl2_89
    | spl2_198
    | ~ spl2_273
    | spl2_419
    | ~ spl2_26
    | ~ spl2_16
    | ~ spl2_68
    | spl2_500
    | spl2_73
    | ~ spl2_8
    | ~ spl2_5 ),
    inference(rat,[],[s994,s7591,s4823,s874,s6728,s6779,s6447,s2092,s3321,s73,s7637,s6479,s221,s6380,s6723,s7569,s5889,s223,s1878,s2679,s6858,s7180,s1549,s885]) ).

cnf(s7646,plain,
    ( spl2_284
    | ~ spl2_247
    | spl2_349
    | spl2_274
    | spl2_419
    | spl2_74
    | ~ spl2_68
    | ~ spl2_63
    | ~ spl2_7 ),
    inference(rat,[],[s7132,s6124,s1502,s3021,s1074,s2760,s5451]) ).

cnf(s7647,plain,
    ( spl2_76
    | ~ spl2_67
    | spl2_198
    | ~ spl2_273
    | spl2_419
    | spl2_74
    | spl2_20
    | spl2_39
    | ~ spl2_68
    | ~ spl2_63
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s5094,s6385,s5520,s1177,s6125,s2253,s2689,s4322,s7271,s5594,s7646,s2384,s73,s6711,s6832,s3110,s2730,s799,s929,s5029,s1045,s6209,s6242,s3247,s6387,s1032,s6884,s187,s6515,s1658,s2363,s7180,s1549,s885,s694,s5602,s6858,s4265,s113]) ).

cnf(s7648,plain,
    ( ~ spl2_247
    | ~ spl2_76
    | ~ spl2_67
    | ~ spl2_277
    | ~ spl2_288
    | spl2_419
    | ~ spl2_68 ),
    inference(rat,[],[s6570,s3110,s7603,s2730]) ).

cnf(s7649,plain,
    ( ~ spl2_86
    | ~ spl2_499
    | ~ spl2_321
    | ~ spl2_19
    | ~ spl2_76
    | ~ spl2_67
    | spl2_245
    | spl2_216
    | ~ spl2_82
    | ~ spl2_273
    | ~ spl2_26
    | spl2_39
    | ~ spl2_68 ),
    inference(rat,[],[s5606,s1203,s1918,s967,s2640,s6880,s3247,s3271,s742,s1933,s1076,s4480,s5602,s5480]) ).

cnf(s7650,plain,
    ( spl2_198
    | ~ spl2_273
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s799,s6084,s5029,s4854,s1052,s7649,s1911,s1445,s6202,s929,s7648,s187,s7642,s1644,s7647,s113,s1156,s7645,s2600,s7180,s5602,s1549,s6858,s2,s7162,s4124,s4264,s2363,s5968,s152,s7489,s885,s1878,s4265,s7636,s6,s284,s7609,s7638,s7644]) ).

cnf(s7651,plain,
    ( ~ spl2_89
    | spl2_141
    | spl2_74
    | ~ spl2_26
    | ~ spl2_16
    | spl2_500
    | ~ spl2_8 ),
    inference(rat,[],[s6380,s6723,s7569]) ).

cnf(s7652,plain,
    ( ~ spl2_247
    | ~ spl2_19
    | ~ spl2_115
    | ~ spl2_24
    | ~ spl2_82
    | ~ spl2_273
    | spl2_419
    | ~ spl2_16
    | ~ spl2_68
    | ~ spl2_14 ),
    inference(rat,[],[s6856,s7596,s7246]) ).

cnf(s7653,plain,
    ( ~ spl2_273
    | spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s3197,s4196,s7570,s7187,s1918,s929,s7652,s46,s1156,s7651,s221,s73,s20,s6884,s5893,s22,s6880,s874,s4345,s578,s1957,s368,s3064,s7650,s7644,s4124,s4264,s2363,s152,s7489,s223,s1878,s4265,s7636,s6,s284,s7609,s7638]) ).

cnf(s7654,plain,
    ( spl2_67
    | spl2_346
    | ~ spl2_247
    | spl2_419
    | spl2_20
    | ~ spl2_26
    | ~ spl2_16
    | ~ spl2_68
    | spl2_73
    | ~ spl2_8
    | spl2_4 ),
    inference(rat,[],[s3247,s6582,s5893,s7591,s73,s874,s1644,s221,s2092,s3453,s7651,s7569,s5889,s3695,s1156,s284,s2,s4124,s223,s1878,s2730]) ).

cnf(s7655,plain,
    ( ~ spl2_86
    | spl2_48
    | spl2_75
    | spl2_82
    | ~ spl2_67
    | spl2_20
    | ~ spl2_14 ),
    inference(rat,[],[s6884,s3247,s4480,s3789]) ).

cnf(s7656,plain,
    ( spl2_12
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s6728,s7180,s6645,s4496,s6582,s3247,s5758,s7655,s5064,s1257,s874,s6454,s1933,s2092,s1942,s1169,s337,s7043,s6434,s799,s7603,s7654,s6294,s3321,s2730,s1640,s4266,s807,s7653,s7638,s152,s4265,s2363,s7636,s4264,s7162,s7609,s6,s284,s7489]) ).

cnf(s7657,plain,
    ( spl2_26
    | ~ spl2_73
    | ~ spl2_39
    | ~ spl2_12
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s5813,s7180,s3100,s6647,s4266,s7524,s3241,s3247,s5568,s187,s777,s779,s775,s7486,s7465,s774,s13]) ).

cnf(s7658,plain,
    ( ~ spl2_273
    | ~ spl2_73
    | ~ spl2_39
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s7582,s1427,s7376,s2173,s7478,s1380,s5,s6887,s3247,s779,s3891,s2630,s5568,s3064,s7588,s7385,s7388,s7489,s7657,s7656,s6,s284,s2]) ).

cnf(s7659,plain,
    ( spl2_198
    | spl2_67
    | spl2_115
    | ~ spl2_33
    | spl2_278
    | ~ spl2_419
    | ~ spl2_111
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_8
    | ~ spl2_7 ),
    inference(rat,[],[s7498,s6858,s1512]) ).

cnf(s7660,plain,
    ( ~ spl2_68
    | spl2_115
    | ~ spl2_82
    | ~ spl2_33
    | spl2_278
    | ~ spl2_419
    | ~ spl2_111
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_8
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s2310,s3150,s2427,s191,s561,s2630,s3064,s7659,s1436,s7034,s2920,s874,s6110]) ).

cnf(s7661,plain,
    ( spl2_284
    | ~ spl2_248
    | spl2_74
    | spl2_115
    | spl2_278
    | ~ spl2_419
    | ~ spl2_111
    | ~ spl2_73
    | ~ spl2_7 ),
    inference(rat,[],[s7332,s1462,s1556,s5451]) ).

cnf(s7662,plain,
    ( ~ spl2_419
    | ~ spl2_73
    | ~ spl2_39
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s5509,s5571,s2310,s2076,s2286,s2427,s3247,s561,s2630,s3064,s7605,s7661,s3321,s5627,s6384,s43,s7660,s6110,s874,s3032,s7499,s5973,s187,s2977,s3891,s7489,s7657,s7656,s2,s807,s4266,s7658,s6,s284]) ).

cnf(s7663,plain,
    ( ~ spl2_73
    | ~ spl2_39
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s6515,s2076,s6581,s2310,s7054,s1203,s2427,s43,s5509,s874,s2600,s1052,s91,s5571,s695,s740,s860,s1350,s2286,s6563,s3247,s7180,s7570,s2630,s5568,s5813,s3036,s7593,s3100,s7427,s4622,s7662,s4266,s7658,s7657,s2,s6,s284,s7489,s7656]) ).

cnf(s7664,plain,
    ( spl2_26
    | spl2_64
    | ~ spl2_68
    | ~ spl2_63
    | ~ spl2_39
    | ~ spl2_12
    | ~ spl2_7
    | ~ spl2_5 ),
    inference(rat,[],[s91,s4622,s5892,s7465]) ).

cnf(s7665,plain,
    ( ~ spl2_273
    | ~ spl2_89
    | spl2_19
    | ~ spl2_419
    | ~ spl2_60
    | spl2_198
    | ~ spl2_26
    | spl2_216
    | spl2_82 ),
    inference(rat,[],[s6381,s1974,s7637,s7469,s337,s5028]) ).

cnf(s7666,plain,
    ( ~ spl2_419
    | ~ spl2_60
    | spl2_198
    | spl2_74
    | ~ spl2_26
    | spl2_216
    | ~ spl2_285
    | spl2_82
    | spl2_64
    | ~ spl2_68
    | ~ spl2_63
    | ~ spl2_39
    | ~ spl2_8
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s6357,s4046,s5101,s5594,s4584,s6643,s6454,s7378,s4330,s4823,s2635,s6881,s3032,s3321,s5973,s799,s6712,s2977,s7043,s1640,s4266,s807,s7665,s1156,s187,s2920,s3891,s337]) ).

cnf(s7667,plain,
    ( ~ spl2_39
    | spl2_6
    | spl2_4 ),
    inference(rat,[],[s4854,s1644,s7631,s91,s7630,s4622,s7666,s73,s3789,s5064,s2630,s1878,s7664,s1259,s5509,s2455,s5868,s778,s3247,s5,s7169,s738,s7149,s4264,s1381,s7162,s7663,s2,s6,s284,s7489,s7656]) ).

cnf(s7668,plain,
    ( ~ spl2_24
    | spl2_39
    | ~ spl2_12
    | ~ spl2_8 ),
    inference(rat,[],[s22,s2279]) ).

cnf(s7669,plain,
    ( ~ spl2_419
    | ~ spl2_73
    | ~ spl2_49
    | spl2_39
    | ~ spl2_8
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s2920,s43,s1156,s6384,s7355,s5627,s4269,s3321,s1257,s7661,s874,s3032,s5973,s1462,s2977,s4266,s5451,s1556,s7605,s807,s7388,s1888,s6069,s73,s1378,s188,s1512,s5571,s6858,s2630,s4265]) ).

cnf(s7670,plain,
    ( ~ spl2_73
    | ~ spl2_49
    | spl2_39
    | ~ spl2_8
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s2635,s6832,s5275,s1176,s1153,s4793,s7034,s7180,s4850,s7044,s4202,s4496,s4244,s2445,s7604,s4269,s6650,s5006,s337,s1257,s6125,s6124,s7600,s874,s3097,s3021,s7429,s1074,s3100,s7669,s970,s1888,s6069,s73,s5451,s618,s4266,s807,s5571,s188,s7605,s7388,s1512,s1378,s1908,s6858,s2630,s885,s4265]) ).

cnf(s7671,plain,
    ( ~ spl2_419
    | ~ spl2_60
    | ~ spl2_13
    | spl2_82
    | spl2_64
    | spl2_500
    | spl2_73
    | spl2_198
    | ~ spl2_26
    | ~ spl2_16
    | ~ spl2_7
    | ~ spl2_14 ),
    inference(rat,[],[s6881,s4330,s3321,s6643,s799,s6712,s2977,s1644,s7043,s1640,s4266,s3453,s7665,s3695,s1156,s7468,s2920,s6858,s7162,s4264,s1878]) ).

cnf(s7672,plain,
    ( spl2_6
    | spl2_4 ),
    inference(rat,[],[s7603,s799,s7654,s7043,s1640,s4266,s7643,s7671,s73,s3789,s4269,s1259,s2455,s778,s5,s7169,s738,s4264,s4124,s1381,s7162,s7670,s2630,s3247,s7668,s152,s4265,s2363,s7667,s7656,s7489,s6,s284]) ).

cnf(s7673,plain,
    ( spl2_26
    | ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7493,s5028,s3064,s137,s138,s141,s7496,s157,s7037,s6899,s7490,s330,s13,s284,s1441,s187,s3891,s7672]) ).

cnf(s7674,plain,
    ( ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7388,s2630,s7673,s3247,s1441,s187,s3891,s7672]) ).

cnf(s7675,plain,
    ( spl2_26
    | spl2_273
    | spl2_24
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_7
    | spl2_12
    | spl2_4 ),
    inference(rat,[],[s157,s7490,s7494,s284]) ).

cnf(s7676,plain,
    ( ~ spl2_419
    | ~ spl2_73
    | ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s43,s2920,s6341,s1156,s6832,s7355,s7661,s1888,s6060,s1462,s73,s7180,s4854,s1556,s5451,s188,s4496,s1644,s7605,s1512,s5064,s5571,s2630,s7675,s1257,s874,s1444,s1052,s2977,s4266,s807,s7674,s5509,s5868,s3247,s1441,s187,s3891,s7672]) ).

cnf(s7677,plain,
    ( ~ spl2_116
    | spl2_15
    | spl2_419
    | ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s3770,s5806,s7345]) ).

cnf(s7678,plain,
    ( spl2_198
    | spl2_116
    | spl2_26
    | ~ spl2_273
    | spl2_419
    | ~ spl2_73
    | ~ spl2_7
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6126,s102,s43,s1156,s7523,s2772,s1442,s6581,s2469,s7524,s3271,s3241,s3247,s7522,s7515,s3445,s3494,s3229,s1512,s284,s7672,s13,s6109,s157]) ).

cnf(s7679,plain,
    ( spl2_26
    | ~ spl2_273
    | ~ spl2_73
    | ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s3441,s694,s5029,s6748,s6581,s3332,s3271,s3247,s1052,s7533,s1444,s3446,s7526,s1156,s874,s1442,s1957,s5568,s7678,s157,s7677,s330,s13,s284,s7672,s4622,s7676]) ).

cnf(s7680,plain,
    ( ~ spl2_273
    | ~ spl2_73
    | ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4821,s6125,s1154,s4431,s7127,s2449,s7587,s7531,s3073,s7576,s7586,s1942,s94,s6581,s1888,s6480,s5029,s6060,s799,s3136,s4854,s2773,s7585,s1644,s5598,s936,s6479,s4844,s73,s6338,s7180,s43,s4480,s5024,s7584,s1936,s6855,s1940,s7582,s1156,s1052,s3247,s1442,s157,s1444,s2630,s5568,s7427,s7385,s2679,s7388,s7679,s7672,s4622,s7676]) ).

cnf(s7681,plain,
    ( spl2_26
    | ~ spl2_73
    | ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s3969,s1108,s7128,s806,s1156,s629,s6434,s1442,s3150,s3073,s5568,s5868,s1512,s3247,s5516,s2449,s879,s7579,s7592,s6647,s7537,s6642,s4691,s6109,s330,s13,s284,s7672,s807,s7570,s3036,s4622,s7180,s5813,s3100,s4266,s7680,s7676]) ).

cnf(s7682,plain,
    ( ~ spl2_73
    | ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6514,s6581,s94,s1203,s6110,s874,s7186,s1052,s187,s6563,s860,s1441,s1156,s3247,s1442,s2630,s5568,s7593,s7681,s7180,s5813,s3036,s3100,s4266,s7680,s4622,s7676,s2,s7672]) ).

cnf(s7683,plain,
    ( ~ spl2_21
    | ~ spl2_49
    | spl2_82
    | spl2_67
    | spl2_19
    | spl2_73 ),
    inference(rat,[],[s138,s5028,s7491,s5890,s1156]) ).

cnf(s7684,plain,
    ( ~ spl2_273
    | ~ spl2_26
    | spl2_216
    | ~ spl2_49
    | spl2_82
    | ~ spl2_455
    | spl2_67
    | spl2_19
    | ~ spl2_419
    | spl2_12 ),
    inference(rat,[],[s5064,s1256,s3789,s157,s73,s7620,s7665,s1156,s2630]) ).

cnf(s7685,plain,
    ( ~ spl2_419
    | ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1114,s5644,s4854,s2258,s3789,s7573,s1644,s3426,s5594,s5064,s4584,s6643,s7378,s1257,s4330,s799,s874,s2635,s6881,s7046,s1444,s3321,s1052,s6712,s2977,s1640,s4266,s807,s7684,s2630,s1878,s885,s13,s7683,s5509,s5868,s3247,s1442,s5889,s1441,s1156,s187,s2920,s3891,s2,s7672,s7162,s4264,s7682]) ).

cnf(s7686,plain,
    ( spl2_26
    | ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1957,s7613,s874,s7614,s7615,s3247,s5756,s5629,s5890,s5892,s13,s2,s7162,s4124,s91,s4622,s1872,s7630,s157,s7252,s73,s4102,s3748,s7685,s4264,s7682]) ).

cnf(s7687,plain,
    ( ~ spl2_7
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7584,s7582,s3247,s2630,s7635,s7583,s7634,s621,s7631,s7686,s4854,s73,s1644,s157,s4102,s91,s7252,s3748,s7630,s4622,s7685,s4264,s4124,s7682,s2]) ).

cnf(s7688,plain,
    ( ~ spl2_82
    | spl2_74
    | spl2_26
    | ~ spl2_419
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s214,s2920,s222,s5598,s1156,s94,s5888,s1442,s2,s7672,s6899,s7037,s13,s187,s3891]) ).

cnf(s7689,plain,
    ( ~ spl2_273
    | spl2_82
    | ~ spl2_128
    | spl2_15
    | spl2_26
    | spl2_24
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_39 ),
    inference(rat,[],[s5028,s137,s138,s7493,s7495,s187,s3891,s13,s5568]) ).

cnf(s7692,plain,
    ( spl2_278
    | spl2_121
    | spl2_363
    | spl2_19
    | ~ spl2_6 ),
    inference(rat,[],[s5803,s865,s7180,s7570,s7038,s1444,s6208,s1052,s3247,s1441,s187]) ).

cnf(s7694,plain,
    ( spl2_278
    | spl2_363
    | spl2_19
    | ~ spl2_6 ),
    inference(rat,[],[s874,s1754,s1444,s7692,s6208,s1052,s187]) ).

cnf(s7696,plain,
    ( spl2_26
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s2469,s1203,s4496,s874,s3503,s5836,s3771,s3571,s931,s929,s959,s2977,s7694,s6642,s5655,s7689,s7688,s7037,s6109,s330,s13,s284,s3247,s1441,s187,s3891,s7672]) ).

cnf(s7697,plain,
    ( spl2_393
    | spl2_496
    | spl2_204
    | spl2_48
    | ~ spl2_49
    | spl2_19
    | ~ spl2_14 ),
    inference(rat,[],[s1142,s4846,s7039,s6789,s1208]) ).

cnf(s7698,plain,
    ( ~ spl2_247
    | ~ spl2_68
    | ~ spl2_78
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6122,s6002,s6704,s4664,s7697,s7353,s3182,s6678,s2386,s4300,s2251,s3224,s1427,s2672,s7081,s3321,s2455,s4114,s2449,s6712,s5101,s1462,s6779,s7355,s4496,s5064,s6454,s1257,s4823,s6583,s874,s6645,s1444,s7694,s1052,s2977,s3716,s284,s1556,s7605,s807,s7388,s73,s1888,s2607,s714,s6060,s4854,s188,s1512,s2630,s1644,s1908,s885,s3970,s1156,s5992,s2920,s5571,s7696,s5509,s5868,s3247,s1441,s7672,s187,s3891]) ).

cnf(s7700,plain,
    ( spl2_278
    | spl2_204
    | ~ spl2_268
    | spl2_245
    | ~ spl2_26
    | ~ spl2_49
    | spl2_4 ),
    inference(rat,[],[s1257,s874,s5064,s5852,s4852,s284,s3275,s7672]) ).

cnf(s7701,plain,
    ( ~ spl2_68
    | spl2_82
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5064,s1257,s4496,s874,s3503,s5976,s3771,s3571,s7700,s4106,s931,s929,s7698,s5967,s2920,s5655,s7388,s284,s2607,s970,s6060,s4854,s188,s1512,s2630,s1644,s5571,s1908,s885,s5509,s5868,s3247,s1441,s187,s3891,s7672,s7696,s337]) ).

cnf(s7702,plain,
    ( ~ spl2_247
    | ~ spl2_67
    | spl2_185
    | ~ spl2_76
    | spl2_19
    | ~ spl2_419
    | ~ spl2_6 ),
    inference(rat,[],[s1108,s806,s6645,s7694,s2977]) ).

cnf(s7703,plain,
    ( spl2_82
    | ~ spl2_419
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4821,s1154,s7573,s6125,s6658,s3767,s1462,s7332,s5852,s5029,s3321,s799,s6531,s7033,s4106,s929,s7702,s6581,s1942,s1156,s1974,s5726,s43,s7701,s3970,s337,s5655,s284,s1556,s7605,s807,s7388,s5027,s73,s1888,s2607,s6060,s4854,s188,s1512,s2630,s1644,s5571,s1908,s885,s5509,s5868,s3247,s1441,s187,s3891,s7672,s7696]) ).

cnf(s7704,plain,
    ( ~ spl2_247
    | spl2_48
    | ~ spl2_67
    | spl2_245
    | ~ spl2_76
    | spl2_19
    | ~ spl2_419
    | ~ spl2_6 ),
    inference(rat,[],[s6480,s6832,s7180,s6645,s6341,s4852,s7694,s7702,s2977,s3275,s3247,s1441,s187,s43,s2920]) ).

cnf(s7706,plain,
    ( spl2_389
    | spl2_185
    | ~ spl2_349
    | ~ spl2_321
    | ~ spl2_58
    | spl2_57
    | spl2_322 ),
    inference(rat,[],[s4822,s2028,s7574,s1086,s6074,s6707]) ).

cnf(s7707,plain,
    ( ~ spl2_419
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1034,s2028,s2079,s7697,s4664,s7706,s6480,s3321,s799,s6531,s7033,s4106,s929,s7704,s5064,s1256,s7047,s43,s2920,s1156,s1442,s7703,s2607,s6060,s5027,s4854,s73,s5655,s188,s7388,s1512,s1644,s1908,s2630,s5571,s885,s7696,s5509,s5868,s3247,s1441,s187,s3891,s284,s7672]) ).

cnf(s7708,plain,
    ( ~ spl2_259
    | spl2_286
    | ~ spl2_297
    | spl2_386
    | spl2_579
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s2307,s2738,s6002,s2140]) ).

cnf(s7709,plain,
    ( ~ spl2_295
    | ~ spl2_96
    | ~ spl2_86
    | spl2_269
    | spl2_496
    | spl2_289
    | ~ spl2_297
    | spl2_268
    | spl2_386
    | spl2_579
    | ~ spl2_273
    | spl2_185
    | spl2_74
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s6280,s4782,s1142,s1569,s6127,s6641,s4461,s6122,s7708,s6124,s6940,s906,s1154,s4785]) ).

cnf(s7710,plain,
    ( ~ spl2_247
    | ~ spl2_273
    | spl2_82
    | spl2_26
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s2738,s2307,s3865,s1086,s4624,s4867,s2018,s1142,s1569,s6127,s6641,s4500,s1176,s6122,s6125,s7708,s3395,s3397,s3276,s876,s7075,s4979,s6124,s5650,s7132,s7573,s7709,s2762,s936,s105,s43,s221,s106,s6745,s91,s6819,s138,s73,s6244,s6570,s6832,s6492,s4728,s5034,s3110,s7280,s7081,s7180,s7515,s2801,s7570,s2449,s5813,s157,s3036,s7592,s3100,s7246,s4622,s7707,s3970,s337,s952,s3494,s1512,s618,s3716,s284,s1248,s7517,s6109,s13,s799,s3445,s3229,s5568]) ).

cnf(s7711,plain,
    ( spl2_19
    | spl2_349
    | spl2_248
    | ~ spl2_273
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s3770,s5806,s157,s1441,s7515,s187,s7672]) ).

cnf(s7713,plain,
    ( ~ spl2_474
    | ~ spl2_8
    | ~ spl2_24
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s2738,s2307,s1768,s6289]) ).

cnf(s7714,plain,
    ( spl2_255
    | spl2_322
    | spl2_474
    | ~ spl2_268
    | spl2_116
    | spl2_247
    | spl2_579
    | spl2_284
    | ~ spl2_273
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s1847,s6127,s1298,s6641,s4359,s4461,s6122,s7708,s2680,s2887,s5546,s6285,s6124,s5034,s6125,s7081,s2462,s2801,s3767,s2449,s618,s1248,s13,s929,s157]) ).

cnf(s7715,plain,
    ( ~ spl2_255
    | spl2_276
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_24
    | spl2_349
    | ~ spl2_294
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s5546,s6124,s5034,s7132,s5490,s1120,s1502,s1171,s7587,s1074,s73,s4102,s3748]) ).

cnf(s7716,plain,
    ( ~ spl2_68
    | ~ spl2_24
    | ~ spl2_19
    | spl2_247
    | spl2_579
    | ~ spl2_273
    | spl2_82
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_39 ),
    inference(rat,[],[s6949,s3431,s7574,s1208,s7475,s4708,s4867,s2018,s1298,s1142,s1847,s1569,s6127,s6641,s4461,s6122,s5024,s7708,s1936,s2680,s1941,s5546,s2887,s1156,s6124,s5643,s5034,s7081,s2462,s7714,s2801,s2449,s7715,s7713,s4196,s7180,s6728,s6645,s7293,s4102,s157,s91,s3748,s7394,s4622,s337,s6579,s618,s1248,s7517,s6109,s13,s3321,s3494,s1512,s799,s3445,s3229,s5568,s4728]) ).

cnf(s7717,plain,
    ( spl2_68
    | ~ spl2_19
    | spl2_247
    | spl2_349
    | spl2_248
    | ~ spl2_273
    | ~ spl2_78
    | ~ spl2_39 ),
    inference(rat,[],[s3110,s7052,s73,s6748,s5024,s4480,s3332,s1936,s1942,s1941,s1052,s1156,s6764,s5643,s7033,s6531,s43,s3321,s799,s929]) ).

cnf(s7718,plain,
    ( ~ spl2_273
    | spl2_82
    | spl2_26
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6442,s694,s3446,s5541,s4496,s5680,s2469,s7180,s3271,s6728,s3241,s3247,s6645,s4102,s157,s7716,s91,s3748,s7394,s7717,s7711,s7710,s3321,s3445,s3716,s3494,s3229,s7517,s284,s4622,s7707,s13,s6109,s337,s1512,s5568]) ).

cnf(s7719,plain,
    ( ~ spl2_116
    | spl2_24
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s3770,s5806]) ).

cnf(s7720,plain,
    ( ~ spl2_347
    | ~ spl2_362
    | spl2_346
    | spl2_86
    | spl2_77
    | ~ spl2_19
    | ~ spl2_277
    | ~ spl2_288 ),
    inference(rat,[],[s1644,s6515,s4854,s7046,s6084]) ).

cnf(s7721,plain,
    ( spl2_284
    | ~ spl2_589
    | spl2_428
    | spl2_116
    | ~ spl2_297
    | spl2_273
    | spl2_74
    | ~ spl2_14 ),
    inference(rat,[],[s2871,s2455,s6124,s7081,s5006,s3716,s618]) ).

cnf(s7722,plain,
    ( ~ spl2_247
    | spl2_273
    | spl2_82
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s7578,s5516,s7721,s4257,s4823,s799,s7720,s2801,s157,s7719,s1052,s2250,s2672,s3321,s6779,s6728,s73,s3789,s6581,s2469,s3271,s187,s7536,s6583,s874,s3247,s7186,s879,s6647,s4222,s7180,s7570,s2449,s5813,s3036,s7592,s3100,s4622,s330,s6109,s337,s1512,s5568,s807,s6642,s13]) ).

cnf(s7723,plain,
    ( spl2_284
    | ~ spl2_553
    | ~ spl2_278
    | spl2_112
    | spl2_268
    | spl2_247
    | ~ spl2_111
    | spl2_74
    | ~ spl2_21
    | spl2_419
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s7587,s2449,s6940,s2462,s6124,s3659,s1579,s6125,s6650,s1248,s3716]) ).

cnf(s7724,plain,
    ( ~ spl2_255
    | ~ spl2_116
    | ~ spl2_284
    | spl2_419 ),
    inference(rat,[],[s783,s1074]) ).

cnf(s7725,plain,
    ( ~ spl2_116
    | spl2_295
    | ~ spl2_284
    | ~ spl2_553
    | ~ spl2_278
    | spl2_247
    | spl2_322
    | ~ spl2_78
    | spl2_74
    | spl2_419
    | ~ spl2_73 ),
    inference(rat,[],[s6581,s5029,s1942,s1156,s3497,s2462,s7132,s6124,s3659,s1579,s6125,s2762,s3767,s2449,s7724,s43,s7394,s929]) ).

cnf(s7726,plain,
    ( spl2_399
    | ~ spl2_248
    | spl2_474
    | spl2_115
    | spl2_112
    | spl2_273
    | ~ spl2_73 ),
    inference(rat,[],[s6640,s4802,s7575,s7574,s5157,s6653,s1298,s807]) ).

cnf(s7727,plain,
    ( ~ spl2_68
    | spl2_349
    | spl2_474
    | spl2_115
    | ~ spl2_284
    | ~ spl2_278
    | spl2_288
    | spl2_268
    | ~ spl2_19
    | ~ spl2_24
    | spl2_247
    | spl2_363
    | spl2_273
    | spl2_198
    | ~ spl2_635
    | ~ spl2_78
    | spl2_74
    | spl2_419
    | ~ spl2_73
    | ~ spl2_39 ),
    inference(rat,[],[s4290,s1208,s6127,s7085,s7413,s5956,s2507,s1142,s2738,s2307,s1289,s3365,s4272,s6122,s7575,s1086,s4371,s3311,s7475,s1477,s3451,s7726,s2462,s2315,s2449,s4483,s7587,s6940,s6124,s4807,s6125,s1194,s6501,s6800,s7075,s3321,s6779,s2386,s4854,s6728,s73,s4046,s6570,s1644,s4102,s91,s3748,s4622,s7180,s879,s5516,s1512,s4042,s3396,s1203,s874,s799]) ).

cnf(s7728,plain,
    ( spl2_349
    | ~ spl2_284
    | ~ spl2_278
    | spl2_268
    | ~ spl2_19
    | ~ spl2_24
    | spl2_247
    | spl2_322
    | spl2_273
    | spl2_198
    | ~ spl2_635
    | ~ spl2_78
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_39 ),
    inference(rat,[],[s6127,s7413,s1569,s2138,s7290,s7075,s1142,s6400,s2738,s1156,s2307,s4480,s3118,s73,s2984,s5490,s7575,s7587,s6640,s2762,s4802,s5969,s7574,s6122,s6999,s1086,s4371,s7475,s3451,s7726,s3321,s3750,s6531,s43,s7727,s799,s6642,s13,s1936,s1940,s7111,s5516,s1512,s7573,s7713,s157,s3396,s1203,s874,s3503,s7725,s4042,s6748,s4691,s879,s807,s6109,s929]) ).

cnf(s7729,plain,
    ( spl2_268
    | ~ spl2_24
    | spl2_82
    | spl2_26
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5969,s2762,s6122,s7587,s4371,s5640,s7475,s3451,s2386,s7726,s7075,s3321,s6400,s73,s6531,s43,s1156,s165,s6454,s5029,s4823,s7728,s3396,s6581,s1203,s1754,s874,s7713,s3503,s157,s7725,s7573,s7111,s4042,s5516,s7723,s6748,s1052,s4691,s860,s879,s7180,s2,s13,s6109,s337,s6579,s1512,s5568,s807,s5655,s929,s7722,s7718,s7707,s284,s187,s1441,s7672]) ).

cnf(s7730,plain,
    ( ~ spl2_255
    | ~ spl2_294
    | spl2_276
    | ~ spl2_268
    | ~ spl2_24
    | spl2_273
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s5546,s6124,s5034,s5006,s1120,s1171,s7587]) ).

cnf(s7731,plain,
    ( ~ spl2_278
    | ~ spl2_268
    | ~ spl2_19
    | ~ spl2_39 ),
    inference(rat,[],[s1936,s5024,s1940]) ).

cnf(s7732,plain,
    ( spl2_284
    | spl2_115
    | ~ spl2_248
    | spl2_276
    | ~ spl2_268
    | ~ spl2_24
    | spl2_247
    | spl2_273
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s6284,s4796,s6124,s6125,s2462,s3767,s2449,s7730,s3716,s618,s6109,s5655,s929]) ).

cnf(s7733,plain,
    ( ~ spl2_116
    | ~ spl2_347
    | ~ spl2_268
    | ~ spl2_19
    | ~ spl2_24
    | spl2_247
    | spl2_273
    | ~ spl2_635
    | ~ spl2_78
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s7075,s7332,s7122,s5982,s3396,s7724,s4042,s7732,s6126,s102,s6581,s1942,s5852,s7058,s3321,s4106,s6531,s43,s557,s7394,s6109,s5655,s929,s4196,s7731]) ).

cnf(s7734,plain,
    ( spl2_399
    | spl2_474
    | spl2_112
    | ~ spl2_268
    | spl2_273
    | spl2_26 ),
    inference(rat,[],[s6724,s3117,s7575,s7574,s5157,s5581,s6653,s1298,s807]) ).

cnf(s7735,plain,
    ( spl2_284
    | spl2_116
    | spl2_276
    | ~ spl2_268
    | ~ spl2_24
    | spl2_247
    | spl2_273
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s7708,s6122,s2680,s4359,s2887,s5546,s6285,s6124,s5034,s7081,s2462,s2801,s2449,s6125,s7730,s6650,s1248,s3716,s618,s13,s807,s7734,s7713,s5194,s157]) ).

cnf(s7736,plain,
    ( ~ spl2_255
    | ~ spl2_383
    | ~ spl2_284
    | ~ spl2_485
    | ~ spl2_268
    | spl2_179
    | spl2_74
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s5334,s4002,s2293,s73,s6125,s5490,s4328,s7587,s4541]) ).

cnf(s7737,plain,
    ( spl2_116
    | ~ spl2_268
    | ~ spl2_24
    | spl2_247
    | spl2_273
    | spl2_198
    | ~ spl2_635
    | ~ spl2_78
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5063,s1109,s5490,s73,s4102,s3748,s43,s6125,s2762,s3767,s7736,s5969,s6122,s7573,s4371,s4042,s7735,s7475,s3451,s7734,s7713,s5194,s1342,s157,s3859,s5655,s284,s929,s4728,s4196,s7731,s187,s1441,s7672]) ).

cnf(s7738,plain,
    ( ~ spl2_24
    | spl2_82
    | spl2_26
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s3395,s7075,s6125,s7332,s7129,s3767,s3423,s2449,s1644,s7724,s4042,s5816,s7732,s1108,s3321,s799,s6531,s7733,s7394,s5852,s7737,s4106,s2601,s860,s1052,s7731,s4196,s7729,s187,s1441,s2,s7672,s6109,s6579,s5568,s3970,s337,s5655,s929,s7722,s7718,s7707,s284]) ).

cnf(s7739,plain,
    ( spl2_284
    | ~ spl2_248
    | spl2_268
    | spl2_112
    | spl2_115
    | spl2_247
    | ~ spl2_111
    | spl2_26
    | spl2_419
    | ~ spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s7587,s2449,s6940,s2462,s6124,s6644,s4796,s6125,s6650,s1248,s3716,s13,s6109]) ).

cnf(s7740,plain,
    ( spl2_82
    | spl2_26
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5872,s2455,s7075,s6559,s2386,s5640,s4106,s3396,s7577,s2665,s4042,s5516,s2591,s7739,s3321,s6728,s73,s3789,s2469,s3271,s187,s6444,s7180,s5803,s865,s1754,s7570,s1257,s4691,s874,s5194,s3503,s157,s7719,s6558,s3247,s7738,s929,s7722,s6642,s5655,s807,s7718,s1512,s5568,s6579,s337,s7707,s13,s330,s284]) ).

cnf(s7741,plain,
    ( ~ spl2_248
    | ~ spl2_114
    | ~ spl2_247
    | ~ spl2_273
    | ~ spl2_67
    | ~ spl2_82
    | ~ spl2_21
    | ~ spl2_73 ),
    inference(rat,[],[s3441,s874,s806,s1957,s5069,s1512,s2635,s3494]) ).

cnf(s7742,plain,
    ( ~ spl2_24
    | spl2_248
    | ~ spl2_288
    | spl2_116
    | spl2_75
    | ~ spl2_67
    | ~ spl2_82
    | spl2_120 ),
    inference(rat,[],[s73,s4844,s4480,s696,s2064]) ).

cnf(s7743,plain,
    ( ~ spl2_247
    | ~ spl2_273
    | spl2_26
    | ~ spl2_73
    | spl2_120
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s73,s4480,s6447,s7711,s3445,s2223,s5868,s3247,s7742,s3110,s7741,s694,s7180,s7570,s5813,s3036,s3100,s7246,s4622,s7707,s13,s6109,s1936,s1941,s1156,s1442,s7740,s7672]) ).

cnf(s7744,plain,
    ( spl2_248
    | ~ spl2_456
    | ~ spl2_58
    | spl2_247
    | ~ spl2_273
    | ~ spl2_82
    | ~ spl2_73 ),
    inference(rat,[],[s7033,s799,s6764,s3445,s1052,s3229,s1203,s1957,s874,s3136,s5580,s3321]) ).

cnf(s7745,plain,
    ( spl2_286
    | spl2_284
    | spl2_268
    | ~ spl2_588
    | ~ spl2_24
    | spl2_74
    | spl2_26 ),
    inference(rat,[],[s2887,s6124,s5034,s6940,s1120,s618,s1248,s13]) ).

cnf(s7746,plain,
    ( spl2_284
    | ~ spl2_553
    | spl2_268
    | ~ spl2_588
    | ~ spl2_19
    | ~ spl2_24
    | spl2_247
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s2462,s6124,s2449,s3659,s7587,s2528,s7745,s3716]) ).

cnf(s7747,plain,
    ( spl2_268
    | ~ spl2_8
    | ~ spl2_115
    | ~ spl2_198
    | ~ spl2_588
    | ~ spl2_24
    | spl2_247
    | ~ spl2_82
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s2253,s4525,s7075,s3397,s7587,s1194,s7531,s5585,s1443,s3073,s7746,s6748,s5853,s6338,s879,s284,s349,s6514,s2393,s73,s4480,s1936,s1941,s1156,s1442,s187,s1441,s7672,s694,s6442,s3446,s13]) ).

cnf(s7748,plain,
    ( ~ spl2_24
    | spl2_247
    | ~ spl2_273
    | spl2_26
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s803,s7747,s157,s1108,s5178,s6480,s3445,s7529,s874,s1957,s1512,s6479,s3494,s7744,s7576,s1942,s6581,s6514,s936,s2393,s73,s43,s4480,s7527,s187,s1441,s284,s4622,s7707,s13,s6109,s1936,s1941,s1156,s1442,s7740,s7672]) ).

cnf(s7749,plain,
    ( spl2_268
    | spl2_525
    | spl2_505
    | ~ spl2_49
    | spl2_247
    | ~ spl2_273
    | spl2_75
    | ~ spl2_67
    | ~ spl2_82
    | spl2_74
    | spl2_15
    | ~ spl2_73 ),
    inference(rat,[],[s3229,s1957,s3445,s874,s6645,s6338,s6728,s4844,s3321,s3494,s3150,s43,s6126,s6515,s102,s6581,s73,s3271,s4480,s187,s6444,s7180]) ).

cnf(s7750,plain,
    ( ~ spl2_273
    | spl2_26
    | ~ spl2_73
    | spl2_120
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s2469,s3271,s4496,s187,s3446,s5888,s6442,s1658,s694,s6242,s5541,s6580,s5680,s7749,s2772,s157,s5868,s7719,s3241,s3247,s7748,s7743,s2,s7707,s13,s330,s284,s6109,s1936,s1941,s1156,s1442,s7740,s7672]) ).

cnf(s7751,plain,
    ( ~ spl2_247
    | spl2_273
    | ~ spl2_67
    | ~ spl2_82
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s3321,s6728,s2635,s221,s5069,s936,s222,s806,s94,s6434,s6647,s4691,s7180,s7570,s5813,s3036,s3100,s4622,s807,s6642,s13]) ).

cnf(s7752,plain,
    ( spl2_399
    | ~ spl2_278
    | spl2_112
    | ~ spl2_77
    | spl2_86
    | spl2_68
    | ~ spl2_111
    | ~ spl2_21
    | spl2_419
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s2738,s2307,s1142,s1289,s6548,s6408,s6117,s7108,s1609,s7574,s6653,s2909,s3774]) ).

cnf(s7753,plain,
    ( ~ spl2_389
    | ~ spl2_399
    | ~ spl2_116
    | spl2_419 ),
    inference(rat,[],[s1022,s2307]) ).

cnf(s7754,plain,
    ( spl2_268
    | ~ spl2_456
    | ~ spl2_24
    | spl2_273
    | ~ spl2_82
    | spl2_74
    | spl2_26
    | spl2_419
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7108,s1609,s6117,s7574,s6408,s6074,s1289,s7753,s4272,s6122,s4371,s3451,s7752,s1194,s3073,s7075,s5517,s2391,s6124,s7107,s3659,s3395,s1579,s6125,s3767,s877,s7724,s3503,s7529,s7746,s874,s6748,s1203,s1052,s4222,s860,s879,s7180,s2,s4622,s807,s6514,s6479,s936,s2393,s73,s4480,s1936,s1941,s3321,s6531,s929,s7751,s5655,s7576,s1942,s1156,s1442,s43,s7527,s187,s1441,s7672,s13,s284]) ).

cnf(s7755,plain,
    ( spl2_255
    | spl2_115
    | spl2_278
    | spl2_276
    | ~ spl2_317
    | ~ spl2_77
    | ~ spl2_248
    | ~ spl2_60
    | ~ spl2_19
    | ~ spl2_24
    | ~ spl2_321
    | spl2_322
    | ~ spl2_67
    | ~ spl2_82
    | spl2_74
    | ~ spl2_73 ),
    inference(rat,[],[s7107,s3221,s2391,s7127,s7075,s2455,s3395,s5101,s6125,s7332,s3767,s3423,s6581]) ).

cnf(s7756,plain,
    ( ~ spl2_24
    | spl2_273
    | spl2_26
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5101,s2455,s3127,s4485,s6620,s5306,s7107,s3221,s6800,s6125,s4328,s7587,s4541,s7755,s799,s7732,s1342,s803,s5852,s1972,s1052,s4106,s2440,s7731,s4196,s2597,s7754,s7576,s3271,s1942,s6581,s6514,s2393,s3321,s3750,s73,s6531,s43,s4480,s7527,s187,s1441,s13,s1936,s1941,s5655,s284,s929,s7751,s1156,s1442,s7672,s7740,s6109,s7707]) ).

cnf(s7757,plain,
    ( spl2_26
    | ~ spl2_73
    | spl2_120
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6581,s6514,s3271,s94,s187,s6647,s6444,s7180,s5803,s865,s1754,s7570,s4222,s874,s5194,s3503,s157,s7719,s3247,s7756,s929,s7751,s5655,s807,s7750,s1156,s1442,s7740,s6109,s330,s13,s284,s7672,s7707]) ).

cnf(s7759,plain,
    ( ~ spl2_614
    | spl2_456
    | ~ spl2_277
    | spl2_115
    | ~ spl2_321
    | spl2_322
    | ~ spl2_76
    | spl2_86
    | ~ spl2_78 ),
    inference(rat,[],[s4823,s6645,s6454,s6728,s6531]) ).

cnf(s7760,plain,
    ( ~ spl2_262
    | spl2_247
    | ~ spl2_24
    | spl2_579
    | ~ spl2_294
    | spl2_273
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s7587,s1120,s2449,s5006,s2462]) ).

cnf(s7761,plain,
    ( ~ spl2_277
    | ~ spl2_614
    | spl2_115
    | ~ spl2_321
    | ~ spl2_24
    | spl2_322
    | ~ spl2_76
    | spl2_86
    | spl2_273
    | ~ spl2_78
    | ~ spl2_5 ),
    inference(rat,[],[s1203,s1052,s7759,s860,s874]) ).

cnf(s7762,plain,
    ( ~ spl2_286
    | ~ spl2_268
    | ~ spl2_265
    | spl2_179 ),
    inference(rat,[],[s5063,s1109]) ).

cnf(s7763,plain,
    ( ~ spl2_24
    | spl2_82
    | ~ spl2_73
    | spl2_120
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6378,s2887,s3182,s2253,s6385,s7762,s4855,s4799,s6285,s7081,s2449,s7516,s3110,s1624,s1342,s7180,s7761,s6531,s3321,s4796,s6284,s6124,s7760,s6125,s6650,s3503,s4728,s5194,s929,s2064,s7590,s2,s223,s157,s7427,s7707,s337,s807,s5655,s7388,s618,s3716,s7605,s284,s73,s1888,s2607,s6060,s4854,s1644,s188,s1512,s5571,s1908,s6858,s5568,s885,s7757]) ).

cnf(s7764,plain,
    ( spl2_19
    | spl2_15
    | ~ spl2_89
    | ~ spl2_288
    | ~ spl2_247
    | ~ spl2_60
    | spl2_419 ),
    inference(rat,[],[s2730,s3110,s5726,s5028,s187]) ).

cnf(s7765,plain,
    ( spl2_248
    | spl2_286
    | ~ spl2_349
    | spl2_289
    | ~ spl2_277
    | ~ spl2_288
    | spl2_74
    | ~ spl2_76
    | spl2_185
    | ~ spl2_73 ),
    inference(rat,[],[s1177,s6125,s4793,s4821,s7044,s1154,s6568,s6832,s3110]) ).

cnf(s7766,plain,
    ( ~ spl2_265
    | ~ spl2_58
    | ~ spl2_261
    | spl2_589
    | spl2_289
    | spl2_255
    | ~ spl2_49
    | ~ spl2_76
    | ~ spl2_73 ),
    inference(rat,[],[s2253,s4502,s6559,s4799,s6276,s6285,s2455]) ).

cnf(s7767,plain,
    ( ~ spl2_396
    | spl2_75
    | ~ spl2_19
    | spl2_48
    | spl2_204
    | ~ spl2_49
    | ~ spl2_14 ),
    inference(rat,[],[s6789,s4846,s4867]) ).

cnf(s7768,plain,
    ( ~ spl2_247
    | ~ spl2_49
    | spl2_253
    | ~ spl2_666
    | ~ spl2_60
    | ~ spl2_76
    | spl2_284
    | spl2_273
    | ~ spl2_78
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s2253,s4502,s7075,s4500,s6634,s6641,s6127,s1569,s1142,s7767,s6635,s6122,s7708,s1194,s6952,s794,s6125,s7766,s4823,s43,s4257,s2730,s7765,s1933,s3271,s7764,s1974,s1156,s4850,s806,s5064,s7353,s1108,s1259,s799,s6124,s2455,s6084,s5006,s7721,s7081,s7180,s7570,s4114,s2801,s2449,s5813,s3036,s7592,s3100,s2,s4622,s157,s7427,s7707,s3970,s618,s3716,s284,s1888,s6060]) ).

cnf(s7769,plain,
    ( ~ spl2_67
    | spl2_268
    | ~ spl2_265
    | spl2_115
    | spl2_247
    | spl2_579
    | spl2_322
    | ~ spl2_76
    | spl2_86
    | ~ spl2_78
    | spl2_419
    | ~ spl2_73
    | ~ spl2_39 ),
    inference(rat,[],[s1154,s1153,s4046,s6940,s7587,s2449,s2462,s6124,s6644,s4796,s3321,s7759,s1942,s3970,s1888,s6060,s4854,s1644,s929,s7180]) ).

cnf(s7771,plain,
    ( ~ spl2_496
    | ~ spl2_269
    | ~ spl2_295
    | spl2_74
    | ~ spl2_76
    | spl2_185 ),
    inference(rat,[],[s5542,s6122,s2028,s4066,s2079]) ).

cnf(s7772,plain,
    ( ~ spl2_389
    | ~ spl2_260
    | ~ spl2_255
    | spl2_419 ),
    inference(rat,[],[s3022,s2307]) ).

cnf(s7773,plain,
    ( spl2_389
    | ~ spl2_315
    | ~ spl2_248
    | ~ spl2_89
    | spl2_115
    | spl2_247
    | spl2_273
    | ~ spl2_635
    | ~ spl2_78
    | ~ spl2_8
    | ~ spl2_73 ),
    inference(rat,[],[s7475,s3782,s7726,s3365,s6289,s1289,s5194]) ).

cnf(s7774,plain,
    ( ~ spl2_289
    | ~ spl2_259
    | spl2_286
    | ~ spl2_411
    | ~ spl2_248
    | spl2_115
    | spl2_112
    | ~ spl2_49
    | ~ spl2_666
    | spl2_273
    | ~ spl2_635
    | ~ spl2_78
    | ~ spl2_73 ),
    inference(rat,[],[s5956,s1086,s6607,s7475,s4026,s1102,s7726,s5282,s1740,s4485,s1257,s874]) ).

cnf(s7775,plain,
    ( spl2_82
    | ~ spl2_73
    | spl2_120
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s2386,s4793,s6559,s7044,s2455,s7774,s6122,s7772,s7773,s7575,s6640,s4802,s7574,s6715,s6645,s6447,s4821,s1154,s4046,s6940,s5253,s7587,s2449,s2462,s6124,s6644,s4796,s1142,s3321,s7767,s7759,s1933,s3271,s187,s5967,s1156,s7769,s931,s7180,s4496,s5064,s1257,s6125,s874,s6650,s3503,s4106,s5194,s929,s7768,s3247,s7763,s970,s2607,s714,s1888,s6060,s4854,s1644,s73,s3716,s5655,s807,s1908,s5571,s188,s7605,s7388,s6858,s1512,s3970,s5568,s6579,s337,s284,s885,s157,s7427,s7757,s7707]) ).

cnf(s7776,plain,
    ( ~ spl2_24
    | ~ spl2_277
    | ~ spl2_288
    | ~ spl2_247
    | ~ spl2_82
    | spl2_116
    | ~ spl2_26
    | ~ spl2_73
    | spl2_120
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s874,s1203,s695,s1052,s6563,s860,s2679,s6479,s6581,s5598,s6199,s1644,s4854,s6084,s799,s806,s5069,s2635,s4480,s7742,s2064,s1936,s1941,s1436,s157]) ).

cnf(s7777,plain,
    ( ~ spl2_247
    | ~ spl2_82
    | ~ spl2_26
    | spl2_419
    | ~ spl2_73
    | spl2_120
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s1052,s6764,s5029,s3321,s6581,s2635,s3271,s5069,s187,s806,s5027,s799,s7047,s6084,s43,s4854,s73,s7648,s1644,s188,s5571,s1512,s5509,s2630,s5868,s3247,s7776,s7180,s7570,s5813,s3036,s3100,s4622,s1436,s157,s7427]) ).

cnf(s7778,plain,
    ( spl2_284
    | spl2_20
    | spl2_74
    | spl2_588
    | ~ spl2_273
    | ~ spl2_24
    | spl2_247
    | spl2_116
    | spl2_419
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s2990,s6124,s6781,s2462,s7081,s2449,s7587,s5634,s3716]) ).

cnf(s7779,plain,
    ( ~ spl2_273
    | ~ spl2_19
    | ~ spl2_24
    | spl2_247
    | ~ spl2_67
    | ~ spl2_82
    | ~ spl2_26
    | ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4821,s6125,s1154,s4431,s7127,s2449,s7587,s7531,s3073,s7778,s94,s1888,s7576,s6060,s1942,s4854,s6581,s1644,s6480,s5029,s936,s5598,s799,s6479,s6338,s1601,s5580,s5024,s629,s43,s3859,s7584,s3136,s2679,s7385,s7388,s284,s7427,s7707,s929,s6855,s73,s4480,s1936,s1941]) ).

cnf(s7780,plain,
    ( ~ spl2_277
    | spl2_74
    | ~ spl2_107
    | spl2_273
    | ~ spl2_19
    | ~ spl2_24
    | ~ spl2_67
    | ~ spl2_82
    | ~ spl2_73
    | ~ spl2_5 ),
    inference(rat,[],[s6581,s6514,s1203,s94,s1052,s6563,s860]) ).

cnf(s7781,plain,
    ( ~ spl2_24
    | ~ spl2_73
    | spl2_120
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7762,s5634,s6125,s94,s6650,s2994,s7605,s6858,s5550,s2965,s1142,s2738,s2307,s6074,s7574,s4382,s6085,s7726,s696,s7742,s1624,s1342,s7180,s7780,s6110,s874,s3503,s5655,s807,s7779,s4728,s7713,s2064,s284,s223,s1936,s1941,s1436,s929,s5194,s7777,s7775,s2,s157,s7427,s7757,s7707]) ).

cnf(s7782,plain,
    ( ~ spl2_255
    | spl2_456
    | ~ spl2_68
    | ~ spl2_666
    | ~ spl2_60
    | spl2_284
    | ~ spl2_49
    | ~ spl2_82
    | spl2_419
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s1150,s2251,s5520,s5306,s4485,s2455,s6559,s1194,s5644,s6197,s7573,s1114,s1502,s5253,s7587,s1074]) ).

cnf(s7784,plain,
    ( ~ spl2_255
    | ~ spl2_68
    | ~ spl2_666
    | ~ spl2_60
    | spl2_284
    | ~ spl2_49
    | ~ spl2_82
    | spl2_419
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s1150,s2251,s5520,s5306,s4485,s2455,s5101,s1194,s6197,s7573,s1502,s7782,s7587,s1074]) ).

cnf(s7785,plain,
    ( spl2_255
    | spl2_48
    | ~ spl2_60
    | ~ spl2_76
    | spl2_284
    | spl2_273
    | spl2_74
    | ~ spl2_49
    | spl2_247
    | spl2_116
    | ~ spl2_73
    | ~ spl2_14 ),
    inference(rat,[],[s6385,s2253,s4855,s6559,s4799,s6276,s6124,s6285,s4850,s2455,s7721,s2462,s7081,s2801,s2449,s3716,s6125,s6650,s5194,s157,s807]) ).

cnf(s7786,plain,
    ( ~ spl2_73
    | spl2_120
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6157,s2455,s2386,s4485,s6447,s5306,s6480,s2042,s1154,s5275,s1153,s2445,s5006,s5253,s6124,s3271,s6644,s187,s4796,s5027,s3321,s7047,s6531,s43,s7784,s7587,s7785,s7180,s4496,s5064,s1257,s874,s4854,s6125,s3503,s73,s1644,s6650,s618,s5655,s807,s188,s5571,s7605,s7388,s1512,s5509,s2630,s5868,s6108,s3247,s7781,s5194,s929,s7777,s1436,s7775,s157,s7427,s7757,s7707,s284,s2]) ).

cnf(s7787,plain,
    ( spl2_82
    | ~ spl2_49
    | ~ spl2_419
    | spl2_15
    | ~ spl2_21
    | spl2_73
    | ~ spl2_39 ),
    inference(rat,[],[s121,s7492,s7683,s3891]) ).

cnf(s7788,plain,
    ( ~ spl2_419
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6108,s7688,s7787,s3247,s1441,s187,s3891,s7672,s13,s330,s284]) ).

cnf(s7789,plain,
    ( ~ spl2_86
    | spl2_269
    | spl2_386
    | spl2_579
    | spl2_496
    | ~ spl2_295
    | ~ spl2_96
    | ~ spl2_247
    | ~ spl2_273
    | spl2_74
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s7709,s280,s5813,s3100,s7081,s2449,s7592,s7246]) ).

cnf(s7790,plain,
    ( ~ spl2_261
    | ~ spl2_339
    | spl2_269
    | ~ spl2_273 ),
    inference(rat,[],[s2887,s2990]) ).

cnf(s7791,plain,
    ( ~ spl2_260
    | ~ spl2_286
    | ~ spl2_105
    | spl2_86
    | ~ spl2_285
    | spl2_496
    | spl2_179 ),
    inference(rat,[],[s6383,s2018,s1142,s6548,s6117,s1730,s1334]) ).

cnf(s7792,plain,
    ( ~ spl2_389
    | ~ spl2_559
    | spl2_86
    | spl2_496
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s6548,s1142,s6117,s2738,s2041,s2307]) ).

cnf(s7793,plain,
    ( spl2_284
    | spl2_496
    | ~ spl2_96
    | spl2_76
    | ~ spl2_247
    | ~ spl2_273
    | ~ spl2_24
    | spl2_82
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4361,s1298,s6285,s6267,s6125,s6117,s1176,s1722,s7791,s1086,s6122,s6707,s6002,s7792,s6832,s6881,s7107,s1108,s5069,s4330,s3221,s6199,s4823,s806,s4835,s1156,s7186,s6447,s5894,s5629,s73,s7789,s2455,s7081,s5034,s1248,s3716,s618,s2,s5890,s13,s337,s4728,s187,s1441,s7672,s952,s3036,s2449,s2801,s7713,s157,s7246,s7180,s5813,s3100,s7573,s6658,s43,s91,s4622,s7592,s1891,s7788,s4528,s284]) ).

cnf(s7794,plain,
    ( spl2_399
    | ~ spl2_86
    | spl2_64
    | spl2_474
    | spl2_26
    | spl2_73 ),
    inference(rat,[],[s1480,s6721,s6117,s1086,s5581,s6267,s5899,s1298,s7162]) ).

cnf(s7795,plain,
    ( ~ spl2_86
    | spl2_386
    | ~ spl2_284
    | spl2_198
    | ~ spl2_295
    | spl2_64
    | ~ spl2_96
    | spl2_76
    | spl2_474
    | ~ spl2_297
    | ~ spl2_19
    | spl2_74
    | spl2_82
    | spl2_419
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s4290,s1208,s6127,s4867,s7413,s2140,s7708,s1734,s6122,s6777,s4371,s4362,s3451,s7794,s5889,s1156,s906,s5598,s1154,s105,s221,s280,s106,s6745,s6245,s4584]) ).

cnf(s7796,plain,
    ( spl2_198
    | ~ spl2_96
    | spl2_76
    | ~ spl2_247
    | ~ spl2_273
    | ~ spl2_24
    | spl2_82
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4290,s6127,s6002,s7413,s6122,s6350,s1208,s6383,s4867,s2018,s1298,s1142,s6267,s6548,s6117,s1722,s1086,s1177,s6707,s6832,s7792,s1936,s6881,s1108,s5069,s1941,s4330,s806,s1156,s6447,s5894,s73,s7795,s6952,s5586,s6125,s4348,s7271,s4584,s7793,s7280,s2,s5890,s13,s4728,s187,s1441,s7672,s7570,s3036,s2449,s7713,s7180,s5813,s3100,s4202,s157,s7246,s7572,s7573,s6658,s43,s91,s4622,s7592,s1891,s7788,s4528,s284]) ).

cnf(s7797,plain,
    ( spl2_76
    | ~ spl2_247
    | ~ spl2_273
    | spl2_27
    | ~ spl2_24
    | spl2_82
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4362,s4584,s6777,s5634,s1734,s906,s5889,s5550,s1154,s1156,s7794,s280,s4480,s73,s1936,s5629,s1940,s695,s5853,s874,s1957,s7796,s7573,s6658,s4202,s43,s91,s6819,s2,s4528,s284,s13,s187,s1441,s7672,s7592,s1891,s7570,s3036,s4622,s7713,s157,s7246,s879,s5813,s3100,s7788]) ).

cnf(s7798,plain,
    ( ~ spl2_247
    | ~ spl2_273
    | spl2_27
    | ~ spl2_24
    | spl2_82
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4102,s3748,s5758,s4202,s5892,s7797,s157,s7246,s7162,s7788]) ).

cnf(s7799,plain,
    ( ~ spl2_86
    | spl2_248
    | ~ spl2_349
    | spl2_121
    | spl2_76
    | ~ spl2_78
    | spl2_73
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s5889,s1156,s2092,s5598,s4823,s221,s165,s6745,s6245]) ).

cnf(s7801,plain,
    ( ~ spl2_389
    | ~ spl2_105
    | ~ spl2_116
    | ~ spl2_24
    | spl2_419
    | spl2_73
    | ~ spl2_39 ),
    inference(rat,[],[s6267,s1768,s6117,s1298,s2738,s1730,s7753,s2307,s4055]) ).

cnf(s7802,plain,
    ( ~ spl2_278
    | ~ spl2_116
    | ~ spl2_295
    | spl2_386
    | spl2_579
    | spl2_553
    | spl2_75
    | ~ spl2_20
    | spl2_247
    | ~ spl2_19
    | spl2_74
    | ~ spl2_78
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s7587,s2449,s6940,s2462,s6124,s4804,s4961,s695,s6748,s5024]) ).

cnf(s7803,plain,
    ( ~ spl2_116
    | ~ spl2_295
    | spl2_386
    | spl2_579
    | ~ spl2_77
    | ~ spl2_67
    | ~ spl2_20
    | spl2_68
    | spl2_247
    | ~ spl2_273
    | ~ spl2_19
    | ~ spl2_24
    | spl2_82
    | spl2_419
    | spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s1296,s7574,s6786,s2204,s6347,s1052,s7802,s3774,s6408,s6117,s7108,s4056,s5801,s1086,s6707,s1289,s7801,s5630,s4528,s1891,s7572,s43,s1936,s1941,s3332,s1942,s337]) ).

cnf(s7804,plain,
    ( spl2_389
    | ~ spl2_275
    | ~ spl2_362
    | ~ spl2_185
    | spl2_68
    | ~ spl2_78
    | spl2_57
    | ~ spl2_14 ),
    inference(rat,[],[s7204,s1296,s2204,s3774,s6408,s6117,s1722,s4056,s1086,s6707,s1289,s43]) ).

cnf(s7805,plain,
    ( ~ spl2_255
    | spl2_116
    | ~ spl2_295
    | spl2_386
    | ~ spl2_294
    | spl2_276
    | ~ spl2_67
    | spl2_68
    | ~ spl2_321
    | ~ spl2_273
    | ~ spl2_19
    | ~ spl2_40
    | spl2_74
    | ~ spl2_78
    | spl2_419
    | spl2_57
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s2140,s6122,s2738,s7772,s2307,s7804,s6786,s3859,s1052,s7731,s6940,s6124,s1526,s6760,s1154,s7029,s1153,s7587,s284]) ).

cnf(s7806,plain,
    ( spl2_284
    | spl2_76
    | spl2_247
    | ~ spl2_273
    | ~ spl2_24
    | spl2_82
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1847,s6127,s1298,s6641,s4359,s4461,s6122,s7708,s6781,s6285,s7790,s6125,s6124,s5034,s5705,s7081,s2462,s2801,s2449,s7805,s7713,s157,s7803,s5712,s5586,s4348,s7573,s5625,s1248,s3716,s618,s7162,s1891,s23,s929,s3321,s5758,s5629,s13,s6199,s187,s1441,s7672,s877,s1156,s5894,s73,s7799,s6881,s4330,s4835,s230,s337,s2,s799,s7033,s43,s91,s4622,s7788,s4528,s284]) ).

cnf(s7807,plain,
    ( ~ spl2_116
    | spl2_254
    | ~ spl2_284
    | ~ spl2_614
    | spl2_247
    | ~ spl2_273
    | ~ spl2_19
    | spl2_74
    | ~ spl2_24
    | spl2_419
    | ~ spl2_63 ),
    inference(rat,[],[s7045,s1506,s3425,s3073,s3439,s7271,s6125,s5705,s2449,s7724,s3601,s5712]) ).

cnf(s7808,plain,
    ( ~ spl2_255
    | spl2_116
    | spl2_254
    | ~ spl2_284
    | spl2_276
    | spl2_86
    | ~ spl2_614
    | spl2_68
    | ~ spl2_321
    | ~ spl2_273
    | spl2_74
    | ~ spl2_24
    | ~ spl2_78
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6786,s7804,s7792,s3859,s1052,s7290,s7731,s7075,s7180,s1194,s6799,s1340,s6124,s1526,s6760,s3073,s1154,s5275,s1506,s1153,s7045,s5640,s7587,s7162,s4528,s284,s5890,s13,s7788,s187,s1441,s7672,s6531,s3396,s1942,s1156,s5894,s73,s2]) ).

cnf(s7809,plain,
    ( spl2_76
    | spl2_247
    | ~ spl2_273
    | ~ spl2_24
    | spl2_82
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6748,s695,s5853,s874,s1957,s7271,s6125,s5705,s2449,s7808,s5194,s157,s7807,s5712,s5586,s4347,s7806,s3332,s877,s1942,s1156,s5894,s5629,s73,s7799,s3321,s6881,s4330,s4835,s799,s7033,s43,s91,s230,s2,s7162,s4528,s284,s13,s4622,s7788,s337,s1891,s187,s1441,s7672,s929]) ).

cnf(s7810,plain,
    ( ~ spl2_116
    | ~ spl2_86
    | ~ spl2_455
    | spl2_247
    | ~ spl2_273
    | spl2_82
    | spl2_419
    | spl2_57
    | ~ spl2_39 ),
    inference(rat,[],[s6881,s4330,s4835,s2092,s799,s7242,s7033,s43,s165,s7252,s3770,s2410,s337]) ).

cnf(s7811,plain,
    ( ~ spl2_273
    | spl2_27
    | ~ spl2_24
    | spl2_82
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4102,s3748,s1793,s7810,s5758,s98,s1169,s5892,s7809,s7798,s7162,s4528,s284,s7788]) ).

cnf(s7812,plain,
    ( ~ spl2_247
    | ~ spl2_111
    | ~ spl2_24
    | spl2_419
    | ~ spl2_21
    | ~ spl2_39 ),
    inference(rat,[],[s4218,s879,s7570,s5813,s3036,s3100,s4622]) ).

cnf(s7813,plain,
    ( spl2_76
    | spl2_322
    | ~ spl2_111
    | spl2_27
    | ~ spl2_24
    | spl2_419
    | spl2_26
    | spl2_57
    | spl2_73
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s2028,s1034,s1156,s5636,s5894,s73,s6863,s4222,s1142,s879,s2738,s803,s2307,s1108,s7706,s1080,s6480,s799,s3321,s7033,s6531,s43,s91,s6819,s5890,s4622,s929,s7812,s13]) ).

cnf(s7814,plain,
    ( ~ spl2_116
    | ~ spl2_86
    | spl2_322
    | spl2_273
    | ~ spl2_24
    | ~ spl2_78
    | spl2_419
    | ~ spl2_21
    | spl2_57
    | ~ spl2_39 ),
    inference(rat,[],[s6863,s3389,s1080,s3032,s799,s3321,s7242,s7033,s6531,s43,s165,s7252,s3770,s2410,s929,s7812,s807]) ).

cnf(s7815,plain,
    ( ~ spl2_24
    | spl2_82
    | spl2_26
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4102,s3748,s1793,s7814,s5758,s98,s5892,s7813,s5655,s807,s7811,s125,s2,s7162,s4528,s284,s13,s7788,s7786,s1511,s7687,s337]) ).

cnf(s7816,plain,
    ( spl2_284
    | spl2_254
    | spl2_428
    | ~ spl2_297
    | ~ spl2_436
    | spl2_268
    | spl2_48
    | spl2_74
    | spl2_116
    | ~ spl2_49
    | spl2_26
    | ~ spl2_14 ),
    inference(rat,[],[s2871,s6276,s6124,s6125,s6940,s1177,s6559,s4850,s2455,s7081,s5034,s1248,s3716,s618,s13]) ).

cnf(s7817,plain,
    ( spl2_255
    | ~ spl2_436
    | spl2_598
    | spl2_268
    | spl2_48
    | spl2_198
    | ~ spl2_19
    | ~ spl2_58
    | spl2_74
    | ~ spl2_273
    | spl2_116
    | ~ spl2_25
    | ~ spl2_49
    | spl2_82
    | spl2_26
    | spl2_57
    | ~ spl2_14 ),
    inference(rat,[],[s6125,s1177,s7271,s7577,s7816,s5586,s4348,s7573,s2801,s6658,s2449,s157]) ).

cnf(s7818,plain,
    ( spl2_67
    | ~ spl2_185
    | ~ spl2_559
    | ~ spl2_321
    | ~ spl2_614
    | spl2_553
    | spl2_198
    | ~ spl2_19
    | spl2_86
    | ~ spl2_105
    | spl2_68
    | ~ spl2_273
    | ~ spl2_78
    | spl2_419
    | ~ spl2_21
    | spl2_57
    | ~ spl2_39 ),
    inference(rat,[],[s6548,s6117,s1142,s1722,s4867,s1086,s7305,s6707,s3118,s7792,s7280,s1936,s6748,s1940,s5649,s43]) ).

cnf(s7819,plain,
    ( spl2_496
    | ~ spl2_67
    | ~ spl2_185
    | ~ spl2_559
    | spl2_86
    | spl2_68
    | ~ spl2_25
    | spl2_419
    | spl2_57
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s4312,s1142,s3774,s6548,s6408,s6117,s1722,s5801,s1086,s6707,s1289,s7792,s43]) ).

cnf(s7820,plain,
    ( spl2_76
    | ~ spl2_273
    | spl2_116
    | ~ spl2_25
    | ~ spl2_49
    | spl2_82
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7804,s7772,s1052,s6122,s6748,s4066,s7280,s7819,s7075,s6343,s6760,s1526,s3395,s877,s7818,s1154,s5275,s4821,s6124,s6125,s6799,s1177,s7045,s5586,s4348,s929,s5640,s7592,s7587,s7817,s6832,s3321,s6881,s4330,s4835,s6447,s7180,s4496,s2469,s3332,s1957,s3271,s6786,s874,s187,s7614,s5726,s5629,s73,s7572,s165,s43,s6582,s91,s230,s4528,s330,s284,s5890,s13,s4622,s7788,s337,s157,s1872]) ).

cnf(s7821,plain,
    ( spl2_19
    | spl2_247
    | spl2_115
    | spl2_282
    | ~ spl2_49
    | spl2_82
    | ~ spl2_21
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4496,s2469,s931,s1942,s7037,s7683,s187,s337]) ).

cnf(s7822,plain,
    ( ~ spl2_273
    | spl2_116
    | ~ spl2_25
    | ~ spl2_49
    | spl2_82
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s799,s6711,s4823,s4496,s6454,s2469,s3271,s7821,s7611,s7614,s5629,s73,s4102,s3748,s4202,s5892,s7820,s952,s7162,s5890,s13,s4622,s7788,s337,s157]) ).

cnf(s7823,plain,
    ( ~ spl2_247
    | spl2_273
    | spl2_116
    | ~ spl2_49
    | spl2_82
    | spl2_419
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s4584,s7721,s4330,s4257,s6881,s7573,s3321,s6658,s2801,s2449,s6728,s7592,s165,s1897,s2469,s799,s6582,s230,s3271,s7043,s5892,s187,s4202,s43,s7536,s7611,s874,s7186,s6647,s7180,s5813,s3036,s3100,s7162,s4528,s330,s5890,s4622,s337,s157,s6642,s13]) ).

cnf(s7824,plain,
    ( spl2_82
    | spl2_26
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4822,s2028,s7574,s5636,s6715,s1142,s2738,s2307,s7706,s43,s6454,s6480,s4823,s6447,s73,s3789,s2469,s3271,s187,s6444,s7180,s5803,s865,s1754,s7570,s874,s3321,s4218,s3503,s5191,s5194,s929,s7823,s6642,s5655,s807,s7822,s7552,s157,s7719,s6558,s3247,s7815,s337,s4528,s330,s284,s5890,s13,s7788,s7786,s1511,s7687]) ).

cnf(s7826,plain,
    ( ~ spl2_255
    | spl2_268
    | spl2_276
    | spl2_74
    | ~ spl2_273
    | ~ spl2_116
    | ~ spl2_40
    | spl2_419
    | ~ spl2_21
    | ~ spl2_39 ),
    inference(rat,[],[s1526,s6124,s6760,s6940,s7029,s1248,s618,s7724,s7587]) ).

cnf(s7827,plain,
    ( spl2_255
    | ~ spl2_614
    | ~ spl2_273
    | ~ spl2_19
    | ~ spl2_24
    | ~ spl2_67
    | ~ spl2_82
    | spl2_419
    | ~ spl2_21
    | spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s4867,s4385,s1142,s6274,s1569,s6127,s2909,s6641,s4359,s4461,s6122,s7708,s6781,s1194,s7790,s7075,s6124,s6285,s3395,s2462,s6125,s1248,s3716,s4482,s5705,s7807,s4833,s2391,s5712,s7107,s3221,s7573,s6658,s2449,s7162,s6199,s73,s4480,s1936,s1941,s1872,s877,s799,s7033,s7246,s7047,s4528,s43,s91,s2802,s621,s4622]) ).

cnf(s7828,plain,
    ( ~ spl2_255
    | spl2_198
    | spl2_276
    | spl2_74
    | ~ spl2_273
    | ~ spl2_116
    | spl2_68
    | ~ spl2_96
    | ~ spl2_19
    | ~ spl2_40
    | ~ spl2_24
    | spl2_419
    | ~ spl2_21
    | spl2_57
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s7204,s3517,s3451,s2204,s3774,s6408,s6117,s1722,s1086,s6707,s1289,s1108,s1052,s7444,s803,s7731,s618,s1120,s7826,s7724,s7587,s799,s7033,s7246,s43]) ).

cnf(s7829,plain,
    ( spl2_255
    | ~ spl2_273
    | ~ spl2_96
    | ~ spl2_19
    | ~ spl2_24
    | ~ spl2_67
    | ~ spl2_82
    | spl2_419
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s3396,s5101,s7075,s1194,s1340,s3767,s6124,s2455,s6125,s7745,s2887,s4485,s4821,s906,s803,s2391,s5306,s1154,s1108,s7107,s6480,s6479,s3221,s3321,s7573,s7827,s6658,s6199,s5598,s73,s4480,s1936,s1941,s1872,s929,s799,s7033,s7246,s7047,s4528,s43,s91,s2802,s621,s13,s4622]) ).

cnf(s7830,plain,
    ( ~ spl2_273
    | ~ spl2_96
    | ~ spl2_19
    | ~ spl2_24
    | ~ spl2_67
    | ~ spl2_82
    | spl2_419
    | spl2_26
    | spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s874,s6347,s1957,s7731,s7828,s7826,s7829,s877,s799,s7033,s7246,s1872,s23,s7572,s7047,s43,s91,s2802,s621,s13,s4622,s4528]) ).

cnf(s7831,plain,
    ( ~ spl2_24
    | spl2_26
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7813,s5655,s807,s7830,s6819,s187,s2802,s125,s1441,s2,s4528,s284,s13,s7788,s621,s7786,s1511,s7687,s1156,s1442,s7824,s7672]) ).

cnf(s7832,plain,
    ( spl2_26
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5629,s73,s7615,s4102,s91,s3748,s43,s7047,s157,s6108,s7719,s3247,s7831,s7824,s4622,s7788,s13,s2,s4124,s4528,s7786,s1511,s7687,s284]) ).

cnf(s7833,plain,
    ( ~ spl2_116
    | ~ spl2_273
    | spl2_82
    | ~ spl2_49
    | ~ spl2_419
    | ~ spl2_26
    | spl2_57
    | spl2_12
    | ~ spl2_39 ),
    inference(rat,[],[s4330,s6881,s4835,s3321,s799,s6531,s7033,s929,s2977,s5508,s7178,s1445,s43,s7492,s2920,s1156,s7665,s73,s3789,s141,s5064,s4008,s1256,s1426,s1908,s5509,s5868,s1032,s1549,s885,s2630,s187,s3891]) ).

cnf(s7835,plain,
    ( spl2_67
    | ~ spl2_8
    | ~ spl2_273
    | spl2_82
    | spl2_216
    | ~ spl2_49
    | spl2_19
    | ~ spl2_419
    | ~ spl2_26
    | spl2_73
    | spl2_12
    | ~ spl2_5 ),
    inference(rat,[],[s5889,s7620,s1156]) ).

cnf(s7836,plain,
    ( ~ spl2_273
    | spl2_82
    | ~ spl2_49
    | ~ spl2_419
    | ~ spl2_26
    | spl2_57
    | spl2_73
    | spl2_12
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s4330,s6881,s4835,s3321,s799,s6531,s7033,s929,s2977,s5508,s7178,s1445,s43,s7492,s121,s2920,s7835,s157,s7833,s1032,s1549,s187,s3891,s2630,s1908,s5509,s5868,s885]) ).

cnf(s7837,plain,
    ( spl2_278
    | spl2_598
    | spl2_67
    | spl2_346
    | spl2_82 ),
    inference(rat,[],[s4330,s6881,s799,s3321,s7046,s6712,s1052,s1156]) ).

cnf(s7840,plain,
    ( spl2_292
    | spl2_349
    | spl2_296
    | ~ spl2_499
    | ~ spl2_588
    | spl2_204
    | spl2_128
    | spl2_574
    | spl2_216
    | ~ spl2_49
    | ~ spl2_33
    | spl2_74
    | ~ spl2_26
    | ~ spl2_63
    | ~ spl2_14 ),
    inference(rat,[],[s5229,s7132,s6559,s6124,s2760,s2455,s2887,s5609,s5872,s6353]) ).

cnf(s7841,plain,
    ( spl2_76
    | ~ spl2_61
    | spl2_574
    | ~ spl2_68
    | spl2_245
    | ~ spl2_43
    | ~ spl2_94
    | spl2_273
    | spl2_82
    | spl2_216
    | ~ spl2_49
    | spl2_19
    | ~ spl2_419
    | spl2_74
    | ~ spl2_26
    | ~ spl2_63
    | ~ spl2_14 ),
    inference(rat,[],[s4807,s6124,s6125,s2462,s3716,s3767,s2449,s4649,s1462,s7840,s4330,s478,s1445,s6501,s6479,s6881,s6444,s3110,s7180,s4106,s931,s929,s3336,s3571,s959,s2977,s7837,s3276,s344,s6381,s6643,s187,s1908,s885,s337,s5655,s1640,s2920,s6808]) ).

cnf(s7842,plain,
    ( ~ spl2_255
    | spl2_104
    | spl2_204
    | ~ spl2_105
    | ~ spl2_61
    | ~ spl2_116
    | ~ spl2_419
    | ~ spl2_26
    | ~ spl2_14 ),
    inference(rat,[],[s1346,s6760,s2386,s5872,s1733,s1462]) ).

cnf(s7843,plain,
    ( spl2_284
    | ~ spl2_297
    | ~ spl2_478
    | spl2_204
    | spl2_389
    | ~ spl2_393
    | ~ spl2_620
    | ~ spl2_61
    | ~ spl2_68
    | spl2_245
    | ~ spl2_94
    | spl2_74
    | ~ spl2_14 ),
    inference(rat,[],[s5521,s5520,s5872,s7117,s2386,s2455,s3182,s1334,s6704,s6122,s6002,s3716,s618]) ).

cnf(s7844,plain,
    ( spl2_278
    | ~ spl2_620
    | ~ spl2_76
    | ~ spl2_455
    | ~ spl2_61
    | ~ spl2_68
    | spl2_245
    | spl2_253
    | spl2_439
    | ~ spl2_43
    | ~ spl2_94
    | ~ spl2_116
    | spl2_346
    | spl2_82
    | spl2_216
    | spl2_19
    | ~ spl2_419
    | spl2_74
    | ~ spl2_26
    | ~ spl2_63
    | spl2_4 ),
    inference(rat,[],[s5878,s4046,s4649,s5594,s4584,s7843,s2449,s7842,s1395,s3095,s5956,s1086,s4056,s1730,s1142,s1734,s6933,s1273,s7376,s4664,s7623,s7353,s6678,s6454,s6480,s4300,s4823,s874,s3321,s6645,s1444,s7837,s6712,s7694,s1052,s284,s885,s2630,s337,s3224,s1156,s2920,s4854,s1644,s3789,s5064,s1256,s3247,s1441,s187,s7672]) ).

cnf(s7845,plain,
    ( ~ spl2_68
    | spl2_27
    | spl2_245
    | spl2_253
    | spl2_439
    | ~ spl2_43
    | ~ spl2_94
    | ~ spl2_116
    | spl2_273
    | spl2_82
    | spl2_216
    | spl2_19
    | ~ spl2_419
    | ~ spl2_26
    | spl2_73
    | spl2_4 ),
    inference(rat,[],[s931,s3571,s2977,s7844,s970,s6060,s4854,s3453,s5967,s1644,s7841,s5889,s7491,s1156,s3224,s2920,s284,s2,s1878,s1908,s885,s1640,s7162,s3789,s5064,s1256,s3247,s1441,s187,s7672]) ).

cnf(s7846,plain,
    ( spl2_247
    | spl2_598
    | spl2_68
    | spl2_322
    | spl2_82
    | spl2_57 ),
    inference(rat,[],[s6881,s4330,s3321,s799,s6531,s7033,s929,s43]) ).

cnf(s7847,plain,
    ( spl2_76
    | ~ spl2_640
    | ~ spl2_638
    | spl2_68
    | spl2_346
    | spl2_322
    | spl2_82
    | ~ spl2_419
    | spl2_74
    | ~ spl2_26
    | spl2_57 ),
    inference(rat,[],[s2077,s6583,s349,s6355,s6347,s7837,s2977,s7846,s1658,s6643]) ).

cnf(s7848,plain,
    ( ~ spl2_116
    | spl2_82
    | ~ spl2_419
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1142,s4846,s6974,s1730,s6350,s6346,s4055,s4664,s7706,s6480,s3321,s799,s6531,s7033,s929,s7704,s5630,s1156,s1974,s7847,s6726,s7572,s5726,s43,s7845,s73,s3789,s141,s578,s710,s2180,s3771,s5064,s4008,s1427,s5806,s1256,s1426,s1878,s5509,s5868,s5655,s1640,s7836,s3247,s1441,s187,s3891,s7672,s7832,s4528,s284,s2,s7162,s7786,s1511,s7687]) ).

cnf(s7849,plain,
    ( spl2_76
    | ~ spl2_68
    | spl2_116
    | spl2_346
    | spl2_322
    | spl2_82
    | ~ spl2_49
    | ~ spl2_419
    | ~ spl2_26 ),
    inference(rat,[],[s3503,s874,s929,s1203,s2977,s6454,s7837,s6582,s6643,s337,s2920]) ).

cnf(s7850,plain,
    ( spl2_292
    | spl2_253
    | spl2_48
    | ~ spl2_589
    | ~ spl2_598
    | ~ spl2_362
    | ~ spl2_76
    | ~ spl2_111
    | spl2_19
    | spl2_74
    | ~ spl2_6 ),
    inference(rat,[],[s6984,s1556,s6124,s4584,s2871,s4046,s2455,s7012,s1443,s4845,s1194,s3275,s3247,s1441,s187]) ).

cnf(s7851,plain,
    ( spl2_278
    | ~ spl2_68
    | spl2_116
    | spl2_346
    | spl2_273
    | spl2_82
    | spl2_46
    | spl2_19
    | ~ spl2_419
    | spl2_74
    | ~ spl2_26
    | spl2_4 ),
    inference(rat,[],[s3497,s4584,s7081,s7721,s2455,s2801,s2449,s5101,s1462,s7850,s714,s6060,s4854,s3789,s5064,s6454,s1257,s4257,s4823,s874,s3321,s6645,s1444,s6712,s7837,s7694,s1052,s337,s807,s157,s1156,s2920,s1644,s7849,s5655,s284,s3247,s1441,s187,s7672]) ).

cnf(s7852,plain,
    ( ~ spl2_68
    | spl2_116
    | spl2_346
    | spl2_273
    | spl2_82
    | spl2_46
    | spl2_19
    | ~ spl2_419
    | spl2_74
    | ~ spl2_26
    | spl2_4 ),
    inference(rat,[],[s1257,s5064,s874,s4496,s3503,s931,s929,s959,s2977,s7851,s5967,s7849,s2920,s3247,s1441,s187,s7672,s5655,s284]) ).

cnf(s7853,plain,
    ( spl2_76
    | ~ spl2_638
    | spl2_68
    | spl2_346
    | spl2_322
    | spl2_82
    | ~ spl2_33
    | ~ spl2_419
    | spl2_74
    | ~ spl2_26
    | spl2_57 ),
    inference(rat,[],[s6726,s229,s7847,s353,s223,s43]) ).

cnf(s7854,plain,
    ( spl2_15
    | ~ spl2_349
    | ~ spl2_638
    | spl2_68
    | spl2_82
    | ~ spl2_49
    | ~ spl2_33
    | ~ spl2_419
    | ~ spl2_26 ),
    inference(rat,[],[s6347,s2977,s874,s6444,s1257,s7180,s5064,s1685,s3789,s73,s5726,s1778]) ).

cnf(s7855,plain,
    ( spl2_82
    | ~ spl2_419
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1034,s2028,s2079,s7697,s4664,s7706,s6480,s3321,s4106,s5191,s929,s7704,s2607,s6060,s4854,s3789,s2469,s1942,s1156,s1974,s7854,s1644,s7853,s799,s7043,s7572,s4202,s43,s7852,s7552,s157,s7848,s1640,s5655,s807,s7836,s337,s2,s7162,s4528,s284,s1878,s7786,s1511,s7687,s1908,s5509,s5868,s3247,s1441,s187,s3891,s7672,s885,s7832]) ).

cnf(s7856,plain,
    ( ~ spl2_273
    | spl2_282
    | ~ spl2_499
    | spl2_48
    | ~ spl2_638
    | ~ spl2_67
    | ~ spl2_49
    | ~ spl2_419
    | ~ spl2_26
    | spl2_57
    | ~ spl2_39 ),
    inference(rat,[],[s1142,s4846,s7039,s6350,s1208,s7353,s4664,s5598,s7706,s6479,s6480,s3321,s799,s6531,s7033,s929,s2977,s1032,s5508,s5602,s1549,s2679,s885,s187,s3891,s2630,s5509,s5868,s43,s2920]) ).

cnf(s7857,plain,
    ( ~ spl2_247
    | spl2_128
    | spl2_104
    | ~ spl2_638
    | ~ spl2_33
    | ~ spl2_419
    | ~ spl2_26 ),
    inference(rat,[],[s6583,s2077,s6347,s6916,s2977]) ).

cnf(s7858,plain,
    ( spl2_76
    | spl2_322
    | ~ spl2_640
    | spl2_253
    | ~ spl2_638
    | ~ spl2_67
    | ~ spl2_419
    | spl2_74
    | ~ spl2_26
    | spl2_57
    | ~ spl2_39 ),
    inference(rat,[],[s1544,s3095,s7084,s5473,s6350,s4664,s7706,s6480,s3321,s799,s6531,s7033,s929,s7857,s214,s349,s5598,s1658,s223,s187,s3891,s43,s2920]) ).

cnf(s7859,plain,
    ( ~ spl2_419
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1034,s2028,s2079,s7697,s4664,s7706,s6480,s3321,s799,s6531,s4106,s7033,s929,s7704,s7858,s5655,s7856,s7178,s1445,s5726,s6726,s76,s1333,s578,s710,s3771,s5064,s4008,s5806,s1256,s7047,s7572,s43,s2920,s1156,s1442,s7855,s1908,s5509,s5868,s3247,s1441,s187,s3891,s7672,s4528,s284,s885,s1426,s1878,s7832,s7786,s1511,s7687]) ).

cnf(s7860,plain,
    ( ~ spl2_247
    | spl2_15
    | ~ spl2_89
    | spl2_19
    | ~ spl2_60
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s7570,s3036,s7764,s4622]) ).

cnf(s7861,plain,
    ( spl2_67
    | ~ spl2_49
    | spl2_19
    | spl2_322
    | spl2_282
    | ~ spl2_60
    | ~ spl2_76
    | spl2_419
    | ~ spl2_26
    | ~ spl2_39 ),
    inference(rat,[],[s5064,s1257,s4496,s874,s3503,s931,s929,s7860,s1974,s5967,s1156,s7427,s187]) ).

cnf(s7862,plain,
    ( ~ spl2_247
    | ~ spl2_67
    | ~ spl2_68
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s6728,s7180,s6645,s3321,s5813,s7603,s2730,s3100,s91,s4622,s4102,s3748]) ).

cnf(s7863,plain,
    ( ~ spl2_255
    | ~ spl2_278
    | ~ spl2_277
    | spl2_662
    | spl2_349
    | ~ spl2_68
    | spl2_419
    | spl2_74
    | ~ spl2_39 ),
    inference(rat,[],[s4807,s6124,s6125,s7132,s6720,s5490,s1502,s7587,s1074,s73,s4102,s3748,s6645,s91,s4622]) ).

cnf(s7864,plain,
    ( spl2_19
    | spl2_322
    | ~ spl2_111
    | ~ spl2_68
    | ~ spl2_78
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s2258,s3426,s5435,s3716,s2462,s6124,s4807,s6125,s3767,s2449,s7863,s7694,s6645,s7180,s6501,s4823,s4496,s3321,s3503,s5191,s929,s7862,s6454,s2469,s1942,s7861,s2630,s3247,s2064,s187,s284,s7672,s1878,s7552,s157,s7427,s7786,s1511,s7687,s73,s970,s6060,s4854,s1644,s4102,s3748,s91,s4622,s7859,s1908,s5509,s5869,s885,s7832]) ).

cnf(s7865,plain,
    ( ~ spl2_247
    | spl2_273
    | ~ spl2_68
    | spl2_419
    | ~ spl2_63
    | ~ spl2_39 ),
    inference(rat,[],[s694,s6418,s7570,s5293,s3036,s2730,s91,s4622]) ).

cnf(s7866,plain,
    ( spl2_67
    | ~ spl2_68
    | spl2_82
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5586,s2386,s4348,s4584,s5594,s3497,s3716,s2462,s6124,s4807,s6125,s3767,s2449,s7863,s1052,s7046,s6570,s799,s7180,s4823,s4496,s6454,s2469,s3271,s3247,s5894,s1156,s2,s1878,s5509,s5869,s1640,s7864,s337,s3503,s929,s5655,s284,s6501,s3321,s5191,s7865,s7162,s7552,s807,s7631,s4854,s1644,s91,s4622,s157,s7427,s73,s4102,s3748,s7859,s7786,s1511,s7687,s7832]) ).

cnf(s7867,plain,
    ( ~ spl2_255
    | ~ spl2_389
    | spl2_396
    | ~ spl2_68
    | spl2_419
    | spl2_74
    | ~ spl2_39 ),
    inference(rat,[],[s5970,s4046,s6122,s1114,s1502,s7772,s7587,s1074,s91,s4622]) ).

cnf(s7868,plain,
    ( spl2_284
    | spl2_295
    | ~ spl2_265
    | spl2_428
    | ~ spl2_297
    | ~ spl2_49
    | spl2_273
    | ~ spl2_620
    | spl2_116
    | spl2_74
    | ~ spl2_14 ),
    inference(rat,[],[s2455,s6559,s6276,s7081,s7117,s7721,s3716,s618]) ).

cnf(s7869,plain,
    ( spl2_295
    | ~ spl2_265
    | spl2_428
    | ~ spl2_297
    | ~ spl2_25
    | ~ spl2_49
    | ~ spl2_19
    | spl2_273
    | ~ spl2_666
    | ~ spl2_620
    | spl2_216
    | spl2_116
    | spl2_74
    | ~ spl2_26
    | ~ spl2_14 ),
    inference(rat,[],[s5644,s1114,s5594,s7577,s7868,s7573]) ).

cnf(s7870,plain,
    ( ~ spl2_294
    | ~ spl2_265
    | spl2_428
    | ~ spl2_389
    | ~ spl2_315
    | ~ spl2_314
    | spl2_349
    | ~ spl2_67
    | spl2_115
    | spl2_273
    | spl2_74
    | spl2_73 ),
    inference(rat,[],[s4125,s2984,s4357,s1086,s6644,s1034,s6124,s7544,s5006,s7162]) ).

cnf(s7872,plain,
    ( ~ spl2_255
    | ~ spl2_315
    | spl2_396
    | spl2_268
    | spl2_363
    | spl2_115
    | spl2_247
    | ~ spl2_68
    | spl2_419
    | spl2_74
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s4357,s6644,s3774,s6124,s3365,s6125,s6784,s4046,s1289,s6720,s1114,s1502,s7867,s7587,s1074,s91,s4622,s7574,s6715,s7180]) ).

cnf(s7873,plain,
    ( spl2_284
    | ~ spl2_265
    | spl2_428
    | ~ spl2_297
    | ~ spl2_315
    | ~ spl2_314
    | spl2_349
    | ~ spl2_67
    | spl2_247
    | spl2_273
    | spl2_116
    | spl2_74
    | spl2_73
    | ~ spl2_14 ),
    inference(rat,[],[s3774,s4359,s3365,s6122,s6285,s1289,s6124,s6002,s7081,s7870,s5006,s3716,s618,s3503,s929,s5655]) ).

cnf(s7874,plain,
    ( ~ spl2_68
    | spl2_82
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5586,s4348,s2386,s4584,s5594,s7873,s7869,s6125,s3767,s2801,s2449,s7872,s7575,s4301,s1335,s7574,s6715,s7052,s7180,s6678,s7767,s1342,s6558,s3247,s1624,s5756,s3535,s7043,s6645,s799,s4823,s6454,s1936,s1942,s1941,s5064,s7866,s1257,s874,s3503,s4106,s929,s7865,s7864,s5655,s807,s2607,s7631,s6060,s4854,s3453,s1908,s73,s1644,s5509,s4102,s91,s5869,s3748,s284,s7162,s885,s223,s1878,s7786,s1511,s7687,s4622,s157,s7427,s7859,s7832,s337]) ).

cnf(s7875,plain,
    ( ~ spl2_389
    | ~ spl2_314
    | ~ spl2_247
    | spl2_419 ),
    inference(rat,[],[s3122,s2307]) ).

cnf(s7876,plain,
    ( spl2_76
    | ~ spl2_25
    | ~ spl2_49
    | spl2_19
    | ~ spl2_247
    | ~ spl2_273
    | spl2_68
    | spl2_82
    | ~ spl2_501
    | spl2_419
    | spl2_74
    | ~ spl2_26
    | spl2_57
    | spl2_12
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s3517,s3451,s1298,s5195,s7875,s6117,s7108,s1609,s7574,s2962,s7819,s1108,s5069,s5029,s806,s7491,s6916,s6447,s73,s141,s214,s7637,s229,s4009,s6381,s353,s6643,s223,s337,s7570,s3036,s4622,s7180,s5813,s3100,s187,s2630,s5509,s5868]) ).

cnf(s7877,plain,
    ( ~ spl2_86
    | ~ spl2_49
    | ~ spl2_33
    | ~ spl2_295
    | ~ spl2_297
    | spl2_82
    | spl2_116
    | ~ spl2_26 ),
    inference(rat,[],[s2455,s7081,s1259,s5435,s5064,s4725,s3789,s5087]) ).

cnf(s7878,plain,
    ( spl2_19
    | ~ spl2_247
    | ~ spl2_273
    | spl2_68
    | spl2_82
    | ~ spl2_501
    | spl2_419
    | spl2_74
    | ~ spl2_26
    | spl2_57
    | spl2_120
    | spl2_12
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s3517,s3451,s1298,s5195,s7875,s6117,s7574,s1722,s2962,s2079,s7819,s1108,s5069,s806,s7861,s799,s7178,s6084,s5726,s4854,s73,s7877,s1644,s7876,s1908,s5509,s2630,s5868,s6558,s3247,s1032,s2064,s187,s885,s7427,s2449,s7570,s3036,s4622,s7180,s5813,s3100,s7573,s6658,s7592,s43]) ).

cnf(s7879,plain,
    ( ~ spl2_395
    | spl2_198
    | ~ spl2_185
    | ~ spl2_275
    | spl2_86
    | spl2_474
    | ~ spl2_288
    | ~ spl2_78
    | ~ spl2_303
    | spl2_73 ),
    inference(rat,[],[s6548,s2962,s1142,s7574,s2326,s1296,s3451,s1298,s6267,s6117,s1722,s4056]) ).

cnf(s7880,plain,
    ( spl2_76
    | spl2_474
    | ~ spl2_24
    | ~ spl2_277
    | ~ spl2_288
    | ~ spl2_247
    | ~ spl2_273
    | spl2_64
    | spl2_82
    | ~ spl2_26
    | spl2_73
    | ~ spl2_5 ),
    inference(rat,[],[s2326,s3451,s6714,s5899,s1086,s7879,s1957,s1108,s6786,s874,s806,s695,s1156,s6447,s5893,s5894,s3110,s73,s6881,s229,s2989,s353,s7162,s885,s223,s337]) ).

cnf(s7881,plain,
    ( spl2_349
    | spl2_286
    | ~ spl2_76
    | spl2_474
    | ~ spl2_24
    | ~ spl2_295
    | ~ spl2_277
    | ~ spl2_288
    | spl2_428
    | ~ spl2_273
    | spl2_64
    | spl2_74
    | ~ spl2_303
    | spl2_73 ),
    inference(rat,[],[s2028,s1722,s5542,s6117,s6122,s1086,s6267,s1062,s5899,s1298,s618,s7445,s7271,s1957,s6125,s874,s6720,s3404,s6645,s799,s7162]) ).

cnf(s7882,plain,
    ( ~ spl2_89
    | ~ spl2_76
    | spl2_474
    | ~ spl2_24
    | spl2_179
    | ~ spl2_277
    | ~ spl2_288
    | spl2_428
    | spl2_255
    | ~ spl2_273
    | spl2_64
    | ~ spl2_58
    | ~ spl2_125
    | spl2_82
    | ~ spl2_26
    | spl2_57
    | spl2_73
    | ~ spl2_5 ),
    inference(rat,[],[s6378,s6285,s3182,s6125,s2253,s1178,s1735,s4502,s6832,s5586,s6881,s4348,s4330,s4835,s7881,s625,s640,s4725,s4002,s73,s5894,s5889,s885,s1878,s2679,s5087,s7573,s6658,s2600,s4834,s7162]) ).

cnf(s7883,plain,
    ( ~ spl2_24
    | ~ spl2_19
    | ~ spl2_247
    | ~ spl2_273
    | spl2_64
    | ~ spl2_58
    | ~ spl2_125
    | spl2_82
    | spl2_419
    | ~ spl2_26
    | spl2_57
    | spl2_73
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s7792,s6707,s2079,s1086,s7879,s1108,s5069,s806,s1957,s799,s6786,s874,s6084,s695,s4854,s20,s4480,s46,s1936,s1941,s1156,s7882,s1644,s7880,s7713,s885,s337,s2801,s7592,s1878,s157,s7427,s7570,s3036,s4622,s7180,s5813,s3100,s4728]) ).

cnf(s7884,plain,
    ( spl2_67
    | spl2_253
    | spl2_61
    | spl2_248
    | spl2_598
    | spl2_346
    | spl2_48
    | spl2_75
    | spl2_198
    | ~ spl2_49
    | ~ spl2_19
    | ~ spl2_295
    | ~ spl2_277
    | ~ spl2_288
    | spl2_255
    | ~ spl2_273
    | spl2_82
    | ~ spl2_8
    | spl2_74
    | ~ spl2_303
    | spl2_73
    | spl2_4 ),
    inference(rat,[],[s2962,s7574,s6548,s5215,s6117,s6289,s1722,s7879,s5636,s1142,s7767,s1154,s4114,s4807,s4821,s7271,s6124,s6125,s6799,s1177,s7045,s6786,s4850,s2092,s1735,s5889,s7837,s1156,s284,s2,s337,s5586,s4348,s3321,s6832,s6447,s73,s3789]) ).

cnf(s7885,plain,
    ( spl2_76
    | ~ spl2_247
    | ~ spl2_273
    | spl2_82
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s3517,s3451,s1298,s6267,s6117,s1722,s1086,s6289,s6707,s7875,s7574,s2962,s7819,s1108,s5069,s806,s7884,s6447,s710,s7637,s6881,s4009,s6381,s2989,s6643,s885,s337,s7570,s3036,s4622,s7180,s7573,s6658,s7592,s6558,s2630,s5509,s5868,s1933,s6779,s73,s3789,s2469,s3271,s3247,s7883,s7878,s7552,s1878,s4202,s157,s7427,s43,s175,s7874,s7832,s4528,s284,s7786,s1511,s7687,s2,s5813,s3100,s7859]) ).

cnf(s7886,plain,
    ( ~ spl2_247
    | ~ spl2_273
    | spl2_82
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6125,s1177,s6285,s4850,s7081,s3716,s6378,s5594,s3182,s2253,s4502,s6832,s5586,s6881,s4348,s4330,s4835,s799,s6084,s2600,s4854,s4834,s1644,s7885,s3789,s2469,s5509,s3271,s5868,s3247,s7883,s7878,s7573,s7180,s7570,s6658,s2449,s5813,s3036,s7592,s3100,s2,s7162,s4528,s284,s1878,s4622,s7552,s7786,s1511,s7687,s175,s43,s4202,s7874,s157,s7427,s7859,s2679,s7832]) ).

cnf(s7887,plain,
    ( ~ spl2_437
    | spl2_198
    | spl2_61
    | ~ spl2_60
    | spl2_64
    | ~ spl2_303
    | ~ spl2_63 ),
    inference(rat,[],[s2326,s3451,s6714,s5899]) ).

cnf(s7888,plain,
    ( ~ spl2_288
    | ~ spl2_20
    | spl2_86
    | spl2_76
    | spl2_474
    | spl2_248
    | ~ spl2_349
    | ~ spl2_273
    | spl2_64
    | ~ spl2_78
    | ~ spl2_303
    | spl2_73 ),
    inference(rat,[],[s2962,s6548,s7574,s1142,s4822,s6265,s6117,s2028,s1730,s7879,s4056,s1086,s7887,s1957,s4823,s6786,s874,s695,s3110,s7162,s73]) ).

cnf(s7889,plain,
    ( spl2_76
    | spl2_474
    | ~ spl2_19
    | ~ spl2_24
    | ~ spl2_349
    | ~ spl2_273
    | ~ spl2_638
    | spl2_64
    | spl2_82
    | ~ spl2_26
    | spl2_73
    | ~ spl2_5 ),
    inference(rat,[],[s6347,s6786,s6748,s1344,s7888,s3332,s1942,s1156,s5893,s5894,s73,s229,s230,s353,s885,s223,s337,s6881,s4330,s4835]) ).

cnf(s7890,plain,
    ( ~ spl2_24
    | ~ spl2_349
    | spl2_247
    | ~ spl2_273
    | ~ spl2_638
    | spl2_64
    | ~ spl2_58
    | spl2_82
    | spl2_419
    | ~ spl2_26
    | spl2_73
    | spl2_120
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s1942,s1156,s3332,s5889,s6748,s2092,s6347,s874,s1957,s6858,s5602,s694,s6442,s4497,s7889,s7713,s2064,s157,s7427,s337,s6881,s4330,s4835]) ).

cnf(s7891,plain,
    ( ~ spl2_255
    | ~ spl2_559
    | ~ spl2_389
    | ~ spl2_411
    | ~ spl2_676
    | spl2_419
    | spl2_74
    | ~ spl2_39 ),
    inference(rat,[],[s7025,s7045,s6122,s2042,s7772,s7587]) ).

cnf(s7892,plain,
    ( spl2_67
    | ~ spl2_273
    | spl2_82
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1663,s7884,s6658,s7891,s2040,s5195,s1298,s1296,s4822,s7574,s2962,s6548,s1142,s4846,s6786,s1734,s2092,s5889,s1156,s1878,s7552,s3750,s710,s4009,s7180,s1933,s6117,s1730,s4056,s1086,s7887,s73,s3789,s2469,s3271,s187,s1032,s1549,s7846,s2630,s3110,s885,s7162,s6582,s5298,s6442,s694,s5602,s5509,s5868,s3321,s6881,s4330,s4835,s3247,s7890,s799,s7033,s4528,s7886,s7572,s284,s4202,s157,s7427,s43,s7874,s7859,s7832,s7786,s1511,s7687,s2,s337]) ).

cnf(s7893,plain,
    ( ~ spl2_255
    | ~ spl2_275
    | ~ spl2_67
    | ~ spl2_676
    | ~ spl2_395
    | spl2_86
    | spl2_61
    | ~ spl2_288
    | spl2_198
    | ~ spl2_78
    | ~ spl2_8
    | spl2_419
    | spl2_74
    | ~ spl2_303
    | spl2_73
    | ~ spl2_39 ),
    inference(rat,[],[s1142,s2738,s7891,s2307,s6289,s7879,s1154,s5275,s1153,s5640,s7587,s73]) ).

cnf(s7894,plain,
    ( ~ spl2_275
    | ~ spl2_67
    | ~ spl2_395
    | spl2_75
    | ~ spl2_19
    | ~ spl2_288
    | spl2_198
    | ~ spl2_49
    | spl2_253
    | spl2_247
    | ~ spl2_273
    | ~ spl2_58
    | spl2_82
    | ~ spl2_8
    | spl2_419
    | spl2_74
    | ~ spl2_303
    | spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s7204,s7544,s2962,s1034,s6548,s6289,s1142,s7879,s7767,s1154,s4114,s618,s4821,s7271,s6125,s5705,s5712,s5586,s4348,s7573,s6658,s2801,s2449,s7893,s3110,s3789,s2469,s3271,s6117,s1730,s4056,s6582,s5298,s6442,s694,s3321,s6881,s4330,s4835,s799,s7033,s4528,s337]) ).

cnf(s7895,plain,
    ( ~ spl2_255
    | ~ spl2_278
    | ~ spl2_67
    | ~ spl2_676
    | spl2_86
    | ~ spl2_436
    | spl2_61
    | ~ spl2_277
    | ~ spl2_288
    | spl2_198
    | ~ spl2_25
    | ~ spl2_614
    | spl2_598
    | ~ spl2_273
    | spl2_68
    | spl2_82
    | ~ spl2_501
    | spl2_419
    | spl2_74
    | spl2_57
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s3517,s3451,s1298,s5195,s5215,s4807,s6124,s7574,s6125,s6799,s2962,s1177,s7045,s7819,s5586,s1154,s5275,s4348,s1153,s5640,s7587,s73]) ).

cnf(s7896,plain,
    ( ~ spl2_273
    | spl2_82
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7544,s5542,s7574,s6122,s2962,s7025,s6548,s7045,s1142,s4850,s7767,s7081,s4114,s3716,s618,s7271,s6125,s5705,s5712,s5586,s4348,s7573,s6658,s2801,s2449,s7895,s6347,s6786,s7894,s7892,s6117,s1730,s4056,s1086,s7887,s73,s3789,s6582,s2469,s1933,s5298,s3271,s6442,s187,s6832,s3110,s694,s1032,s7180,s5602,s1549,s5509,s2630,s5868,s6558,s3247,s7890,s3321,s6881,s710,s4330,s7846,s4009,s4835,s799,s7033,s7886,s2,s7162,s4528,s885,s1878,s7552,s337,s4202,s157,s7427,s7859,s7832,s7572,s43,s7874,s284,s7786,s1511,s7687]) ).

cnf(s7897,plain,
    ( spl2_255
    | ~ spl2_589
    | ~ spl2_598
    | spl2_273
    | ~ spl2_58
    | spl2_116
    | spl2_74
    | spl2_57
    | ~ spl2_14 ),
    inference(rat,[],[s4584,s7573,s7721,s6658,s2801,s2449,s157]) ).

cnf(s7898,plain,
    ( ~ spl2_86
    | ~ spl2_24
    | ~ spl2_349
    | spl2_273
    | ~ spl2_58
    | spl2_82
    | spl2_419
    | ~ spl2_26
    | spl2_73
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s6125,s4821,s6952,s4046,s2140,s6122,s2738,s7772,s2307,s7706,s929,s5275,s7592,s7587,s7897,s4257,s4823,s695,s4330,s6480,s6863,s6881,s3321,s6294,s6563,s879,s7180,s353,s1078,s1685,s229,s2569,s4528,s223,s1878,s7427,s337,s807,s5655,s1778]) ).

cnf(s7899,plain,
    ( ~ spl2_247
    | ~ spl2_67
    | ~ spl2_24
    | ~ spl2_349
    | ~ spl2_111
    | spl2_419
    | spl2_73
    | ~ spl2_39 ),
    inference(rat,[],[s3321,s6294,s2635,s879,s5069,s5813,s806,s3100]) ).

cnf(s7900,plain,
    ( ~ spl2_24
    | spl2_82
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1154,s1153,s4046,s2140,s6122,s2738,s7587,s7772,s2307,s7897,s7706,s4257,s6480,s4823,s6643,s3321,s3503,s7846,s5191,s929,s7899,s1156,s5894,s73,s7898,s2,s4528,s1878,s7552,s337,s43,s807,s5655,s284,s799,s7043,s7896,s7162,s7786,s1511,s7687,s4202,s7874,s157,s7427,s7859,s7832]) ).

cnf(s7901,plain,
    ( ~ spl2_86
    | ~ spl2_295
    | ~ spl2_297
    | ~ spl2_49
    | spl2_82
    | spl2_116
    | ~ spl2_26
    | ~ spl2_39 ),
    inference(rat,[],[s3271,s187,s2469,s7877,s3789]) ).

cnf(s7902,plain,
    ( spl2_248
    | spl2_48
    | ~ spl2_358
    | ~ spl2_105
    | ~ spl2_455
    | ~ spl2_89
    | spl2_86
    | ~ spl2_624
    | ~ spl2_295
    | ~ spl2_277
    | ~ spl2_288
    | spl2_428
    | ~ spl2_49
    | spl2_346
    | spl2_64
    | spl2_82
    | ~ spl2_26
    | spl2_73 ),
    inference(rat,[],[s7544,s5542,s7574,s618,s6122,s2962,s2065,s7025,s6548,s1579,s1142,s6125,s4846,s1177,s7045,s1734,s6117,s4850,s1730,s1735,s4056,s5586,s1086,s4348,s7887,s6643,s6712,s3110,s6832,s5293,s3321,s7162,s885,s1878,s337,s2630,s73]) ).

cnf(s7903,plain,
    ( spl2_115
    | ~ spl2_455
    | ~ spl2_89
    | spl2_86
    | ~ spl2_277
    | ~ spl2_288
    | spl2_255
    | ~ spl2_247
    | ~ spl2_49
    | spl2_273
    | spl2_64
    | ~ spl2_58
    | spl2_82
    | spl2_116
    | ~ spl2_26
    | spl2_73
    | ~ spl2_14 ),
    inference(rat,[],[s7897,s4330,s4257,s6881,s7902,s5064,s1257,s6583,s4823,s874,s1878,s337,s1640,s799,s7043,s7162,s2801,s157,s7573,s6658,s4528,s6418,s694]) ).

cnf(s7904,plain,
    ( ~ spl2_89
    | ~ spl2_247
    | spl2_82
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5542,s2028,s1086,s5899,s4353,s4502,s2253,s7075,s6634,s6127,s1569,s6635,s1142,s6122,s7767,s7708,s4114,s4851,s2469,s714,s1194,s7044,s2455,s3271,s6060,s6952,s794,s7081,s7860,s4854,s6125,s3716,s7353,s1974,s1644,s4821,s4584,s6643,s1154,s4330,s1936,s6480,s6881,s1940,s2092,s6347,s7903,s5889,s2,s7572,s799,s7043,s7896,s7162,s4202,s157,s1908,s5509,s5868,s885,s7570,s3036,s4622,s7180,s5813,s3100,s73,s7901,s7573,s6658,s43,s7874,s4528,s284,s2449,s7592,s1878,s7786,s1511,s7687,s3247,s7900,s7427,s7859,s7832]) ).

cnf(s7905,plain,
    ( ~ spl2_286
    | ~ spl2_19
    | spl2_48
    | ~ spl2_297
    | ~ spl2_25
    | ~ spl2_49
    | spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s7081,s3716,s4850,s7577]) ).

cnf(s7906,plain,
    ( ~ spl2_247
    | spl2_82
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4371,s3716,s6122,s7542,s7025,s6125,s7045,s1176,s7905,s187,s5432,s1142,s2326,s3451,s3774,s6408,s6117,s1289,s1722,s4822,s7875,s1086,s7574,s7887,s951,s2962,s3110,s6832,s3969,s3968,s7819,s2635,s1108,s5069,s2469,s806,s1942,s1156,s7904,s73,s7901,s7573,s7180,s7570,s6658,s2449,s5813,s3036,s7592,s3100,s4528,s284,s885,s1878,s4622,s337,s43,s799,s7043,s7896,s7162,s7786,s1511,s7687,s4202,s7874,s157,s7427,s7859,s6558,s2630,s3247,s7900,s7832]) ).

cnf(s7907,plain,
    ( spl2_82
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6125,s4821,s6650,s1154,s4584,s4046,s2140,s6122,s2738,s7587,s7772,s2307,s7897,s7706,s4257,s6480,s4823,s6643,s3321,s3503,s7846,s5191,s5194,s929,s7906,s799,s7043,s5655,s807,s7896,s4202,s43,s7874,s337,s7162,s4528,s284,s1878,s7552,s157,s7427,s7859,s7832,s7786,s1511,s7687]) ).

cnf(s7908,plain,
    ( ~ spl2_24
    | ~ spl2_60
    | spl2_77
    | ~ spl2_82
    | spl2_116
    | spl2_74
    | spl2_73
    | spl2_120 ),
    inference(rat,[],[s94,s6514,s5893,s2064,s1436,s157]) ).

cnf(s7909,plain,
    ( ~ spl2_255
    | ~ spl2_49
    | ~ spl2_68
    | ~ spl2_82
    | spl2_419
    | ~ spl2_26
    | ~ spl2_39
    | ~ spl2_5 ),
    inference(rat,[],[s5644,s7573,s5594,s1114,s1502,s7784,s7587,s1074,s73,s4854,s4102,s3748,s1644,s91,s4622,s5509,s5868]) ).

cnf(s7910,plain,
    ( spl2_295
    | ~ spl2_273
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6127,s6634,s1569,s6635,s7075,s1142,s6122,s1194,s7767,s7708,s6197,s4114,s3716,s5594,s5644,s4046,s7573,s1936,s1941,s714,s7353,s279,s1114,s7905,s2449,s7909,s2,s2469,s3271,s187,s6916,s5029,s799,s6084,s7180,s5602,s931,s1549,s2630,s970,s1908,s5509,s5868,s885,s6060,s4854,s1644,s91,s4622,s7862,s6558,s3247,s7908,s73,s4102,s3748,s113,s1436,s157,s43,s7047,s4528,s7907,s1878,s7786,s1511,s7687,s7427,s7859,s7832,s284]) ).

cnf(s7911,plain,
    ( ~ spl2_273
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1569,s6127,s1142,s6641,s7767,s4461,s4114,s6122,s6124,s5594,s7708,s7081,s6940,s4429,s2546,s6952,s6125,s4821,s1154,s7910,s7905,s2469,s3271,s187,s6916,s1052,s7353,s5029,s799,s6442,s6084,s694,s931,s7180,s5602,s1549,s279,s7862,s1936,s1941,s6558,s2630,s970,s714,s1908,s5509,s5868,s885,s6060,s4854,s1644,s91,s4622,s2449,s7909,s3247,s7908,s73,s4102,s3748,s113,s1436,s157,s1878,s43,s7047,s7427,s4528,s7786,s1511,s7687,s284,s7907,s7859,s7832,s2]) ).

cnf(s7912,plain,
    ( spl2_295
    | ~ spl2_265
    | spl2_273
    | spl2_428
    | ~ spl2_297
    | spl2_216
    | ~ spl2_49
    | ~ spl2_620
    | ~ spl2_666
    | spl2_116
    | spl2_74
    | ~ spl2_26
    | ~ spl2_14 ),
    inference(rat,[],[s1114,s5644,s2258,s5594,s3426,s7868,s7573,s885,s2630]) ).

cnf(s7913,plain,
    ( ~ spl2_286
    | spl2_510
    | spl2_48
    | ~ spl2_297
    | ~ spl2_25
    | ~ spl2_49
    | spl2_116
    | ~ spl2_14 ),
    inference(rat,[],[s7081,s3716,s4850,s4311]) ).

cnf(s7914,plain,
    ( spl2_284
    | ~ spl2_577
    | spl2_363
    | spl2_349
    | spl2_48
    | spl2_662
    | ~ spl2_265
    | spl2_204
    | spl2_273
    | spl2_428
    | ~ spl2_297
    | ~ spl2_49
    | spl2_75
    | spl2_247
    | ~ spl2_67
    | spl2_116
    | spl2_74
    | spl2_73
    | spl2_4 ),
    inference(rat,[],[s7203,s4301,s7873,s1335,s7574,s6715,s7767,s7694,s4807,s6124,s5006,s618,s7672,s874,s7180,s4496,s3503,s5655,s284,s929]) ).

cnf(s7915,plain,
    ( ~ spl2_260
    | spl2_438
    | ~ spl2_314
    | ~ spl2_341
    | ~ spl2_295
    | ~ spl2_248
    | spl2_185
    | ~ spl2_95 ),
    inference(rat,[],[s5542,s2028,s1086,s2075,s1298,s6636,s4352]) ).

cnf(s7916,plain,
    ( spl2_349
    | spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1477,s4125,s7085,s2984,s5956,s1086,s1034,s6789,s2040,s7084,s7792,s1289,s3365,s4272,s6122,s7915,s7575,s4301,s4405,s1543,s1335,s6127,s7574,s1569,s6715,s1142,s7767,s3271,s7044,s187,s5872,s6353,s1194,s5520,s2386,s7771,s5594,s7914,s6678,s3535,s6570,s6645,s799,s7162,s621,s279,s1936,s1941,s4106,s2607,s6501,s3321,s5191,s807,s7552,s7180,s931,s4496,s970,s1908,s885,s6060,s5522,s7913,s3221,s7912,s6125,s3767,s2801,s5509,s5868,s3453,s4854,s1644,s91,s4622,s5064,s1257,s874,s3503,s5655,s7911,s929,s7862,s2449,s7909,s2,s6558,s3247,s7908,s73,s4102,s3748,s113,s1436,s157,s43,s7047,s4528,s7907,s1878,s7786,s1511,s7687,s7427,s7859,s7832,s284]) ).

cnf(s7917,plain,
    ( spl2_12
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s4821,s7916,s1154,s7912,s6125,s3767,s5655,s7911,s2801,s2449,s7909,s5509,s5868,s3247,s7908,s3453,s4854,s73,s1644,s4102,s929,s91,s3748,s7862,s113,s279,s43,s1436,s7047,s7907,s157,s7427,s4622,s7859,s1878,s7832,s4528,s7786,s1511,s7687,s284,s2]) ).

cnf(s7918,plain,
    ( spl2_26
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s3789,s73,s2469,s5629,s3271,s3247,s7740,s187,s777,s779,s775,s7486,s774,s13,s2,s7917]) ).

cnf(s7919,plain,
    ( spl2_198
    | ~ spl2_7
    | spl2_419
    | ~ spl2_73
    | ~ spl2_26
    | ~ spl2_39 ),
    inference(rat,[],[s4266,s7593,s7388]) ).

cnf(s7920,plain,
    ( ~ spl2_24
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7731,s6338,s1052,s2284,s1444,s2427,s7213,s1942,s2310,s6581,s7055,s5509,s6199,s91,s5571,s1156,s2286,s1442,s5568,s3064,s7919,s1511,s7427,s4622,s187,s7786,s7707,s1441,s7149,s7672,s7917,s7918]) ).

cnf(s7921,plain,
    ( ~ spl2_273
    | spl2_48
    | spl2_82
    | spl2_73
    | ~ spl2_419
    | ~ spl2_49
    | ~ spl2_26
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s7856,s7572,s7178,s1445,s43,s7492,s2920,s137,s1156,s7665,s2630,s1908,s5509,s5868,s885,s187,s3891,s4528,s73,s3789]) ).

cnf(s7922,plain,
    ( spl2_278
    | spl2_67
    | ~ spl2_68
    | ~ spl2_349
    | spl2_346
    | ~ spl2_111
    | spl2_86
    | ~ spl2_285
    | spl2_82
    | spl2_74
    | spl2_19
    | spl2_46
    | ~ spl2_26
    | ~ spl2_6 ),
    inference(rat,[],[s714,s7850,s6060,s5101,s4854,s6454,s4257,s1644,s4823,s3321,s6643,s1444,s6712,s7837,s1052,s337,s5064,s1259,s1156]) ).

cnf(s7923,plain,
    ( ~ spl2_68
    | ~ spl2_116
    | ~ spl2_419
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5847,s7841,s931,s557,s959,s3571,s2977,s7922,s5028,s1156,s3224,s2920,s7672,s1908,s5509,s5868,s885,s187,s3891,s1878,s73,s3789,s807,s1640,s799,s7043,s7921,s5064,s1259,s2455,s778,s5,s1381,s7169,s284,s7162,s738,s7707,s7917,s1427,s7918,s3771,s5806,s3247,s7920]) ).

cnf(s7924,plain,
    ( ~ spl2_116
    | ~ spl2_419
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1154,s1153,s4046,s2449,s6940,s2462,s6124,s2871,s2756,s6480,s4257,s3321,s6081,s929,s7704,s2607,s5630,s6060,s1156,s4854,s1974,s1644,s7847,s6726,s7572,s5726,s43,s7923,s7672,s1908,s5509,s5868,s885,s4528,s1878,s73,s3789,s5435,s4850,s187,s3891,s5655,s1640,s799,s7043,s7921,s5064,s1259,s2455,s778,s5,s1381,s7169,s3247,s7920,s7918,s284,s7162,s738,s7707,s7917]) ).

cnf(s7925,plain,
    ( ~ spl2_419
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6559,s6353,s5253,s1462,s7897,s931,s4257,s4823,s4496,s3321,s3503,s5191,s7846,s929,s7704,s2607,s1942,s6060,s1156,s4854,s1974,s1644,s7847,s7178,s6726,s7572,s5726,s43,s7552,s7852,s157,s7924,s799,s7043,s1640,s5655,s807,s7921,s73,s3789,s5064,s1259,s2455,s778,s337,s5,s7169,s1878,s738,s4528,s1381,s7162,s187,s7707,s3891,s284,s7672,s7917,s1908,s5509,s5868,s3247,s7920,s885,s7918]) ).

cnf(s7926,plain,
    ( ~ spl2_73
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1511,s7919,s7786,s2630,s3247,s7920,s7918,s7925]) ).

cnf(s7927,plain,
    ( ~ spl2_68
    | spl2_82
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1156,s1942,s7632,s6454,s7180,s4823,s4496,s3503,s929,s799,s7865,s7043,s1640,s5655,s7631,s4854,s1644,s91,s284,s2,s4622,s157,s7427,s7925,s7162,s4124,s738,s337,s73,s3789,s5064,s1259,s2455,s778,s5,s1381,s7926,s7917,s7918,s3247,s7920]) ).

cnf(s7928,plain,
    ( spl2_349
    | ~ spl2_277
    | ~ spl2_273
    | spl2_86
    | ~ spl2_78
    | spl2_216
    | ~ spl2_26 ),
    inference(rat,[],[s1644,s6381,s4854,s7637,s6084,s6447,s799,s73,s5602]) ).

cnf(s7929,plain,
    ( spl2_67
    | ~ spl2_185
    | ~ spl2_261
    | ~ spl2_395
    | ~ spl2_295
    | ~ spl2_349
    | ~ spl2_288
    | ~ spl2_273
    | spl2_82
    | spl2_48
    | spl2_73
    | ~ spl2_8
    | spl2_198
    | ~ spl2_49
    | ~ spl2_303
    | ~ spl2_5 ),
    inference(rat,[],[s5227,s7574,s6289,s2962,s7879,s6548,s4804,s1142,s4846,s1734,s6117,s1730,s4823,s6786,s2092,s7837,s5889,s1156,s6779,s1549,s73,s3789,s6881,s4330,s4835,s4056,s337]) ).

cnf(s7930,plain,
    ( ~ spl2_314
    | spl2_428
    | ~ spl2_294
    | ~ spl2_265
    | ~ spl2_395
    | ~ spl2_349
    | spl2_73 ),
    inference(rat,[],[s4822,s7544]) ).

cnf(s7931,plain,
    ( ~ spl2_273
    | spl2_82
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5195,s1298,s2040,s4312,s4630,s1142,s6548,s7819,s2962,s7574,s7930,s2801,s6760,s1526,s6117,s877,s5274,s6777,s5801,s7929,s6564,s2253,s3182,s1154,s6378,s618,s4821,s6285,s7271,s6124,s6125,s6799,s1177,s7045,s5586,s4363,s4348,s1086,s5640,s7887,s3110,s6832,s3321,s6881,s560,s4330,s4009,s4835,s7928,s7180,s5602,s1549,s2679,s2,s885,s6558,s2630,s5509,s5868,s7162,s4528,s284,s738,s1878,s7552,s157,s7427,s7925,s4850,s337,s73,s3789,s5064,s1259,s2455,s778,s5,s1381,s7926,s7917,s7918,s3247,s7920,s7927]) ).

cnf(s7932,plain,
    ( spl2_598
    | ~ spl2_455
    | ~ spl2_89
    | spl2_273
    | spl2_68
    | spl2_86
    | spl2_82
    | spl2_64
    | spl2_73
    | spl2_419
    | ~ spl2_49
    | ~ spl2_26
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s430,s7903,s7570,s5813,s2092,s3036,s7592,s3100,s6881,s7846,s4330,s4622,s7427,s4528,s1878,s43,s5655,s799,s7043,s7162]) ).

cnf(s7933,plain,
    ( ~ spl2_247
    | ~ spl2_89
    | spl2_82
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s5542,s2028,s1086,s5899,s4353,s4502,s2253,s7075,s6634,s6635,s6122,s7708,s1194,s6952,s794,s6127,s6125,s1569,s4821,s1142,s7353,s1154,s7767,s6480,s4114,s3716,s2092,s4584,s7044,s7903,s7573,s7180,s7570,s6658,s2449,s5813,s3036,s7592,s3100,s4622,s7427,s4528,s1878,s4850,s43,s799,s7043,s7162,s714,s6060,s4854,s1644,s1908,s5509,s5868,s885,s1933,s3271,s187,s5726,s1974,s6643,s7932,s5889,s2,s7931,s738,s7925,s284,s73,s3789,s5064,s1259,s2455,s778,s5,s1381,s7926,s7917,s7927,s3247,s7920,s7918]) ).

cnf(s7934,plain,
    ( ~ spl2_89
    | spl2_82
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s6125,s4821,s6650,s1154,s4584,s4046,s6940,s6124,s2871,s4257,s6480,s4823,s4496,s3321,s3503,s5191,s5194,s929,s7933,s6643,s7932,s5889,s2,s1878,s7552,s157,s7427,s7925,s4850,s337,s3789,s5064,s1259,s2455,s778,s5,s1381,s7918,s3247,s7920,s7927,s807,s5655,s284,s799,s7043,s7931,s7162,s738,s7926,s7917]) ).

cnf(s7935,plain,
    ( spl2_598
    | ~ spl2_67
    | ~ spl2_349
    | spl2_322
    | spl2_68
    | spl2_86
    | spl2_82
    | spl2_286
    | spl2_289
    | spl2_64
    | spl2_73
    | spl2_419
    | spl2_216
    | spl2_198
    | ~ spl2_25
    | ~ spl2_26
    | ~ spl2_39
    | ~ spl2_14 ),
    inference(rat,[],[s6122,s4066,s4359,s5594,s1298,s618,s5195,s6117,s7930,s6285,s6124,s7875,s1722,s6125,s6799,s7574,s1086,s1176,s7045,s951,s2962,s7887,s6832,s3969,s3968,s7819,s3110,s7573,s7180,s1108,s5069,s7570,s6658,s2801,s5813,s3321,s806,s3036,s7592,s3100,s6881,s7846,s4330,s885,s4622,s7162,s4528,s1878,s7552,s157,s7427,s73,s43]) ).

cnf(s7936,plain,
    ( ~ spl2_247
    | ~ spl2_76
    | ~ spl2_67
    | ~ spl2_349
    | spl2_273
    | ~ spl2_63
    | spl2_94
    | ~ spl2_39 ),
    inference(rat,[],[s5293,s6418,s2635,s694,s5069,s7570,s806,s3036]) ).

cnf(s7937,plain,
    ( spl2_82
    | ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s1153,s1154,s4046,s6940,s6124,s7897,s2871,s4257,s6480,s4823,s4496,s3321,s3503,s5191,s929,s7936,s6643,s7935,s1156,s7934,s799,s7043,s5655,s807,s7931,s43,s7927,s3789,s337,s6558,s2630,s5509,s5868,s4622,s7162,s4528,s284,s738,s1878,s7552,s157,s7427,s7925,s4850,s5064,s1259,s2455,s7918,s778,s5,s1381,s7926,s7917,s3247,s7920]) ).

cnf(s7938,plain,
    ( ~ spl2_39
    | spl2_4 ),
    inference(rat,[],[s7169,s7937,s7162,s7926,s7917]) ).

cnf(s7939,plain,
    ( ~ spl2_89
    | ~ spl2_86
    | ~ spl2_273
    | ~ spl2_19
    | ~ spl2_419
    | spl2_198
    | ~ spl2_73
    | spl2_39 ),
    inference(rat,[],[s2977,s3540,s929,s6440,s6209,s694,s7570,s5495,s2499,s5643,s7299,s2363,s3445,s3229]) ).

cnf(s7940,plain,
    ( ~ spl2_86
    | ~ spl2_273
    | ~ spl2_19
    | ~ spl2_116
    | ~ spl2_419
    | spl2_198
    | spl2_74
    | ~ spl2_73
    | ~ spl2_78
    | spl2_39 ),
    inference(rat,[],[s2774,s6748,s912,s1052,s3099,s6764,s7180,s6067,s6570,s6126,s6515,s105,s3332,s6581,s2340,s43,s1333,s4480,s1942,s2920,s1156,s7939,s106,s2363,s3321,s3494,s1512,s799,s3445,s3229]) ).

cnf(s7941,plain,
    ( ~ spl2_247
    | ~ spl2_89
    | ~ spl2_60
    | ~ spl2_614
    | spl2_349
    | ~ spl2_273
    | ~ spl2_19
    | ~ spl2_419
    | ~ spl2_16 ),
    inference(rat,[],[s7570,s5495,s694,s904,s6440,s6779,s3540,s6712,s2977]) ).

cnf(s7942,plain,
    ( ~ spl2_255
    | ~ spl2_346
    | ~ spl2_362
    | spl2_276
    | ~ spl2_347
    | ~ spl2_273
    | spl2_204
    | ~ spl2_419
    | spl2_74
    | ~ spl2_73
    | ~ spl2_14 ),
    inference(rat,[],[s7044,s4793,s5982,s5712,s6984,s6775,s6124,s1526,s6760,s5872,s1462]) ).

cnf(s7943,plain,
    ( ~ spl2_273
    | ~ spl2_19
    | spl2_204
    | ~ spl2_116
    | ~ spl2_419
    | spl2_198
    | spl2_74
    | ~ spl2_73
    | ~ spl2_78
    | spl2_15
    | spl2_4 ),
    inference(rat,[],[s7762,s6125,s6507,s3767,s7942,s6712,s1052,s5024,s3197,s4196,s2376,s7570,s7180,s6209,s6202,s929,s7941,s5643,s1156,s2920,s6077,s73,s7940,s799,s3321,s3445,s3494,s3229,s284,s2363,s7938,s1512]) ).

cnf(s7944,plain,
    ( ~ spl2_286
    | ~ spl2_343
    | spl2_179
    | ~ spl2_268
    | spl2_278
    | ~ spl2_86
    | ~ spl2_347
    | spl2_74 ),
    inference(rat,[],[s6792,s5982,s6125,s4725,s7762,s1109]) ).

cnf(s7945,plain,
    ( spl2_295
    | spl2_655
    | spl2_270
    | spl2_292
    | ~ spl2_268
    | ~ spl2_362
    | ~ spl2_347
    | spl2_74 ),
    inference(rat,[],[s5546,s6124,s2253,s6984,s6435,s5982]) ).

cnf(s7948,plain,
    ( ~ spl2_278
    | spl2_322
    | ~ spl2_19
    | ~ spl2_419
    | spl2_15
    | spl2_39 ),
    inference(rat,[],[s3197,s7570,s5024,s4196,s6209,s430,s6202,s929,s2977,s2363]) ).

cnf(s7949,plain,
    ( ~ spl2_255
    | ~ spl2_89
    | ~ spl2_347
    | spl2_276
    | ~ spl2_268
    | ~ spl2_362
    | ~ spl2_111
    | ~ spl2_419
    | ~ spl2_635
    | spl2_74
    | ~ spl2_78
    | spl2_4 ),
    inference(rat,[],[s5546,s6124,s2253,s6984,s6564,s1556,s4042,s7945,s4780,s6413,s1171,s1462,s284,s2363,s7938]) ).

cnf(s7950,plain,
    ( ~ spl2_292
    | spl2_269
    | ~ spl2_286
    | ~ spl2_19 ),
    inference(rat,[],[s3276,s3397,s4979,s7075]) ).

cnf(s7951,plain,
    ( ~ spl2_461
    | ~ spl2_347
    | ~ spl2_111
    | ~ spl2_635
    | ~ spl2_78 ),
    inference(rat,[],[s4042,s5982,s1556]) ).

cnf(s7952,plain,
    ( spl2_255
    | spl2_461
    | spl2_179
    | ~ spl2_268
    | spl2_278
    | ~ spl2_19
    | spl2_74
    | spl2_15
    | spl2_39 ),
    inference(rat,[],[s7950,s1194,s6437,s6792,s2546,s6125,s7762,s6507,s2449,s2363,s1052]) ).

cnf(s7953,plain,
    ( ~ spl2_67
    | spl2_75
    | ~ spl2_19
    | ~ spl2_419
    | spl2_15
    | ~ spl2_16 ),
    inference(rat,[],[s73,s6077,s4480,s2920]) ).

cnf(s7954,plain,
    ( ~ spl2_347
    | ~ spl2_89
    | spl2_179
    | ~ spl2_268
    | spl2_278
    | ~ spl2_111
    | ~ spl2_19
    | ~ spl2_419
    | ~ spl2_635
    | spl2_74
    | ~ spl2_78
    | spl2_15
    | spl2_4 ),
    inference(rat,[],[s7952,s7949,s7951,s7938,s1052,s4196]) ).

cnf(s7956,plain,
    ( ~ spl2_411
    | spl2_496
    | spl2_86
    | ~ spl2_105
    | ~ spl2_116
    | spl2_15
    | ~ spl2_16 ),
    inference(rat,[],[s1730,s6117,s4055,s6548,s4141]) ).

cnf(s7957,plain,
    ( ~ spl2_461
    | ~ spl2_315
    | ~ spl2_399
    | spl2_400
    | ~ spl2_111
    | spl2_74 ),
    inference(rat,[],[s6127,s3422,s7413,s1556]) ).

cnf(s7958,plain,
    ( spl2_49
    | ~ spl2_419
    | spl2_198
    | ~ spl2_635
    | ~ spl2_73
    | ~ spl2_78
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1462,s7332,s7952,s7957,s7575,s1971,s4609,s6949,s1102,s7574,s6789,s1208,s4708,s4867,s2018,s1142,s7956,s4257,s3321,s5501,s7293,s1644,s5816,s1685,s4827,s1108,s799,s7954,s3540,s1156,s7953,s1750,s3197,s2376,s7570,s4196,s694,s2601,s7180,s6418,s860,s5987,s5852,s1052,s7948,s5655,s807,s7943,s187,s414,s6856,s1441,s139,s3247,s2,s3275,s7672,s2363,s7938,s13,s330,s284,s6109,s3970]) ).

cnf(s7959,plain,
    ( spl2_19
    | ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s2774,s6126,s2053,s2845,s3771,s2384,s3789,s76,s73,s6077,s43,s2920,s7491,s695,s7456,s7493,s120,s6734,s6899,s7037,s1441,s6737,s3687,s187,s7672,s2363,s7938,s13,s330,s284,s6109,s7958,s6579,s337,s952,s3494,s1512,s799,s3445,s3229,s5568]) ).

cnf(s7961,plain,
    ( ~ spl2_89
    | ~ spl2_19
    | ~ spl2_273
    | ~ spl2_49
    | ~ spl2_419
    | spl2_74
    | ~ spl2_73
    | spl2_82
    | spl2_15
    | spl2_39 ),
    inference(rat,[],[s6723,s6791,s6565,s7948,s6454,s5643,s7299,s2363,s3445,s3229,s3321,s3494,s1512,s5568,s3271]) ).

cnf(s7962,plain,
    ( ~ spl2_273
    | ~ spl2_419
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s2774,s6748,s2977,s1052,s6764,s6126,s6067,s43,s6514,s6515,s2920,s1156,s7961,s3332,s6581,s3271,s7959,s799,s3321,s3445,s3494,s3229,s7938,s330,s284,s6109,s1512,s7958,s5568,s6579,s337]) ).

cnf(s7963,plain,
    ( spl2_19
    | spl2_363
    | spl2_322
    | ~ spl2_49
    | ~ spl2_419
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s73,s3789,s6077,s3972,s146,s7570,s3571,s2756,s6209,s931,s929,s959,s2977,s7037,s7694,s6737,s187,s7672,s2363,s7938,s13,s330,s284,s337]) ).

cnf(s7964,plain,
    ( ~ spl2_419
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s430,s6202,s5803,s5842,s865,s7570,s1754,s694,s5974,s874,s6418,s1444,s5987,s1052,s7948,s3271,s7963,s6642,s5655,s7962,s7958,s7672,s2363,s7938,s13,s330,s284,s337,s6579,s5568]) ).

cnf(s7965,plain,
    ( spl2_19
    | ~ spl2_347
    | ~ spl2_273
    | spl2_419
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s6126,s2774,s2845,s5540,s2384,s4496,s7372,s5680,s73,s931,s6077,s43,s7246,s7394,s3241,s3247,s6734,s7037,s1441,s3687,s187,s7672,s2363,s7938,s13,s330,s284,s6109,s952]) ).

cnf(s7966,plain,
    ( ~ spl2_116
    | spl2_57
    | ~ spl2_347
    | ~ spl2_273
    | spl2_419
    | ~ spl2_73 ),
    inference(rat,[],[s7033,s43,s7246,s7394]) ).

cnf(s7967,plain,
    ( ~ spl2_277
    | spl2_685
    | spl2_77
    | spl2_278
    | ~ spl2_19
    | spl2_349
    | spl2_248
    | spl2_15
    | ~ spl2_16 ),
    inference(rat,[],[s1156,s6199,s3540,s6570,s6440,s3110,s694,s7570,s865,s5842,s6202]) ).

cnf(s7968,plain,
    ( ~ spl2_247
    | spl2_295
    | ~ spl2_255
    | spl2_349
    | spl2_248
    | spl2_419
    | spl2_74 ),
    inference(rat,[],[s7132,s2293,s6124,s6125,s3021,s3097,s3100,s1074]) ).

cnf(s7969,plain,
    ( ~ spl2_411
    | ~ spl2_67
    | ~ spl2_76
    | spl2_61
    | spl2_185
    | spl2_15
    | ~ spl2_16 ),
    inference(rat,[],[s1034,s2028,s6567,s4141]) ).

cnf(s7970,plain,
    ( ~ spl2_473
    | ~ spl2_433
    | spl2_575
    | ~ spl2_617
    | ~ spl2_273
    | spl2_4 ),
    inference(rat,[],[s3517,s7574,s3774,s5273,s6441,s284,s7938]) ).

cnf(s7971,plain,
    ( ~ spl2_433
    | spl2_575
    | ~ spl2_617
    | ~ spl2_655
    | ~ spl2_255
    | ~ spl2_67
    | ~ spl2_273
    | spl2_419
    | spl2_185
    | spl2_74
    | spl2_4 ),
    inference(rat,[],[s1034,s2028,s1086,s5957,s6122,s7772,s1289,s7970]) ).

cnf(s7972,plain,
    ( spl2_278
    | spl2_349
    | spl2_248
    | spl2_284
    | ~ spl2_273
    | spl2_419
    | spl2_185
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s6716,s2204,s1102,s7574,s1852,s4708,s1289,s3971,s2018,s1216,s1219,s2241,s3096,s7971,s3973,s2748,s4285,s1142,s7969,s6442,s7968,s6435,s1153,s2449,s6437,s2253,s1156,s3182,s6723,s1658,s5153,s3110,s694,s6242,s6336,s5540,s6580,s3352,s4852,s5680,s7180,s7967,s5974,s6581,s6331,s3271,s2438,s3241,s3247,s6654,s6856,s155,s7966,s560,s1255,s1257,s6786,s874,s6764,s1444,s6791,s1052,s3275,s7672,s2363,s7938,s13,s330,s6109,s3716,s284,s3321,s7965,s799]) ).

cnf(s7973,plain,
    ( spl2_268
    | ~ spl2_49
    | spl2_61
    | spl2_349
    | spl2_74
    | spl2_82 ),
    inference(rat,[],[s160,s3789,s1658,s73,s6570,s7052,s7180,s799]) ).

cnf(s7974,plain,
    ( ~ spl2_411
    | ~ spl2_76
    | spl2_20
    | spl2_61
    | ~ spl2_635
    | ~ spl2_78
    | ~ spl2_21 ),
    inference(rat,[],[s7475,s6649,s6567]) ).

cnf(s7975,plain,
    ( spl2_389
    | ~ spl2_433
    | ~ spl2_525
    | ~ spl2_635
    | ~ spl2_78
    | spl2_4 ),
    inference(rat,[],[s7475,s3774,s1086,s6441,s2160,s1289,s284,s7938]) ).

cnf(s7976,plain,
    ( ~ spl2_255
    | ~ spl2_396
    | spl2_96
    | spl2_300
    | spl2_302
    | spl2_276
    | ~ spl2_247
    | spl2_349
    | spl2_248
    | spl2_284
    | ~ spl2_273
    | spl2_419
    | ~ spl2_635
    | ~ spl2_73
    | ~ spl2_78
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1740,s5583,s7044,s7084,s4793,s1546,s5712,s7575,s6775,s2984,s6999,s1086,s7475,s1298,s5301,s3217,s6122,s7574,s7772,s7875,s7975,s2241,s1109,s4725,s73,s6126,s6564,s6077,s43,s2253,s6124,s1502,s3182,s3021,s7968,s552,s2363,s330,s284,s6109,s799,s1045,s7972,s3970,s6654,s155,s7246,s7938,s13]) ).

cnf(s7977,plain,
    ( ~ spl2_247
    | spl2_61
    | ~ spl2_273
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1255,s6786,s794,s6125,s1194,s560,s7762,s1259,s7950,s3182,s2447,s2455,s6437,s7081,s2449,s7976,s1142,s7974,s1658,s6242,s4937,s1075,s6580,s5024,s3571,s4196,s5680,s7973,s2528,s3247,s6654,s6856,s155,s7246,s2,s2363,s7938,s13,s330,s6579,s3716,s284,s7965,s799,s7972,s3445,s3229,s3494,s1512,s7517,s5568,s6109,s7964,s3970,s337]) ).

cnf(s7978,plain,
    ( ~ spl2_288
    | ~ spl2_273
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s6124,s1526,s7132,s6760,s2293,s778,s6125,s7486,s7762,s710,s2241,s3095,s7971,s6435,s1153,s2449,s6437,s2253,s3182,s560,s2748,s4937,s3973,s1255,s3352,s1257,s4285,s6331,s2528,s4496,s6786,s874,s3247,s6654,s3446,s6856,s155,s157,s5480,s7394,s1142,s43,s7969,s5298,s6515,s6581,s1942,s1156,s5024,s4196,s5643,s7180,s6209,s6442,s6202,s929,s7977,s3110,s694,s2363,s7938,s13,s330,s3716,s284,s3321,s7965,s799,s7972,s3445,s3229,s3494,s1512,s7517,s5568,s6109,s7964,s3970,s337]) ).

cnf(s7979,plain,
    ( ~ spl2_273
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s430,s4818,s6202,s3276,s3661,s865,s3336,s6748,s7570,s7978,s1940,s7972,s7965,s799,s3445,s3494,s7517,s3229,s2363,s7938,s330,s284,s6109,s3970,s337,s1512,s5568,s7964]) ).

cnf(s7980,plain,
    ( ~ spl2_20
    | ~ spl2_247
    | ~ spl2_288
    | spl2_419
    | spl2_39 ),
    inference(rat,[],[s2053,s3770,s695,s155]) ).

cnf(s7981,plain,
    ( ~ spl2_24
    | ~ spl2_247
    | ~ spl2_288
    | spl2_273
    | spl2_419
    | spl2_15
    | ~ spl2_21
    | ~ spl2_16 ),
    inference(rat,[],[s2053,s3032,s3770,s3389,s6856]) ).

cnf(s7982,plain,
    ( ~ spl2_116
    | spl2_61
    | ~ spl2_288
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s5953,s7574,s1298,s7875,s7753,s7975,s4991,s1142,s7974,s6126,s1658,s160,s3789,s73,s6077,s43,s7394,s4817,s337,s6109,s6579,s6418,s694,s187,s6899,s7980,s3247,s7981,s929,s6209,s5655,s7979,s7964,s330,s284,s13,s2363,s7938]) ).

cnf(s7983,plain,
    ( spl2_76
    | spl2_456
    | ~ spl2_49
    | spl2_82
    | spl2_15
    | ~ spl2_16 ),
    inference(rat,[],[s73,s6077,s165,s6454,s6582,s230,s337]) ).

cnf(s7984,plain,
    ( ~ spl2_255
    | ~ spl2_68
    | spl2_248
    | ~ spl2_247
    | spl2_349
    | spl2_419
    | spl2_74 ),
    inference(rat,[],[s1502,s7968,s1074]) ).

cnf(s7985,plain,
    ( ~ spl2_579
    | ~ spl2_89
    | ~ spl2_635
    | ~ spl2_78
    | ~ spl2_14 ),
    inference(rat,[],[s4042,s3497,s3716]) ).

cnf(s7986,plain,
    ( spl2_269
    | spl2_300
    | ~ spl2_286
    | ~ spl2_396
    | spl2_63
    | ~ spl2_268 ),
    inference(rat,[],[s7204,s4708,s2594,s2018,s3182,s2447]) ).

cnf(s7987,plain,
    ( ~ spl2_473
    | ~ spl2_433
    | ~ spl2_370
    | ~ spl2_660
    | spl2_478
    | spl2_74
    | spl2_4 ),
    inference(rat,[],[s4082,s6122,s3774,s6057,s6441,s284,s7938]) ).

cnf(s7988,plain,
    ( spl2_255
    | spl2_478
    | ~ spl2_396
    | spl2_63
    | ~ spl2_8
    | ~ spl2_520
    | ~ spl2_268
    | ~ spl2_19
    | ~ spl2_247
    | ~ spl2_624
    | spl2_419
    | spl2_132
    | ~ spl2_635
    | ~ spl2_73
    | ~ spl2_78
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s5957,s6122,s1086,s4082,s7475,s1298,s5953,s7574,s7875,s1289,s7987,s2241,s7762,s6125,s6435,s7134,s4042,s6912,s5516,s5585,s3716,s4525,s6437,s2253,s7986,s4937,s2528,s6507,s2449,s13,s330,s6109,s5024,s5987,s284,s2363,s7938]) ).

cnf(s7989,plain,
    ( spl2_248
    | ~ spl2_288
    | spl2_349
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s6559,s2253,s2455,s6564,s4244,s5005,s6124,s4042,s3021,s7968,s5253,s7988,s4285,s1142,s7974,s5293,s157,s7982,s3110,s6696,s337,s6109,s6579,s1512,s5568,s799,s4222,s807,s6418,s694,s3100,s7180,s6647,s7983,s3271,s187,s6899,s7980,s3247,s7981,s929,s6209,s5655,s7979,s7964,s13,s330,s284,s2363,s7938]) ).

cnf(s7990,plain,
    ( ~ spl2_255
    | ~ spl2_346
    | ~ spl2_115
    | ~ spl2_247
    | spl2_273
    | spl2_419
    | spl2_132
    | spl2_74
    | ~ spl2_73 ),
    inference(rat,[],[s618,s5516,s5006,s5712,s2799,s6775,s6125,s6124,s3097,s3021,s1074,s3100]) ).

cnf(s7991,plain,
    ( ~ spl2_288
    | spl2_349
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s4042,s3716,s7129,s6437,s2447,s6507,s2449,s7990,s6999,s7475,s1298,s5953,s7574,s7875,s7975,s2241,s4002,s1142,s5334,s6583,s6126,s7974,s73,s2672,s6565,s2340,s6077,s43,s2250,s4257,s2730,s7989,s1644,s7983,s3271,s2756,s3247,s7981,s7180,s187,s6647,s6899,s7980,s5987,s929,s6418,s6209,s694,s2363,s7938,s13,s330,s337,s6109,s6579,s1512,s5568,s7964,s5655,s7979,s284,s799]) ).

cnf(s7992,plain,
    ( ~ spl2_255
    | spl2_248
    | ~ spl2_247
    | spl2_349
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s3247,s6887,s7491,s6748,s3661,s414,s1940,s138,s6384,s2340,s6077,s43,s1153,s1154,s7984,s7968,s2363,s7938,s13,s330,s284,s6109,s3970,s337,s7964,s7991,s5627,s3321,s7979]) ).

cnf(s7993,plain,
    ( spl2_19
    | spl2_349
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s3972,s2756,s3789,s7973,s73,s2340,s6077,s7394,s3247,s6734,s1441,s3687,s187,s7672,s2363,s7938,s13,s330,s284,s6109,s7964,s7570,s7991]) ).

cnf(s7994,plain,
    ( ~ spl2_278
    | ~ spl2_247
    | ~ spl2_19
    | spl2_288 ),
    inference(rat,[],[s3661,s6748,s1940]) ).

cnf(s7995,plain,
    ( spl2_255
    | spl2_278
    | ~ spl2_685
    | ~ spl2_19
    | spl2_461
    | spl2_74
    | spl2_15
    | spl2_39 ),
    inference(rat,[],[s7950,s6437,s1194,s2546,s6792,s6125,s6332,s2528,s6507,s2449,s2363,s1052]) ).

cnf(s7996,plain,
    ( ~ spl2_247
    | spl2_349
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s73,s106,s6077,s2672,s2730,s7992,s7995,s6583,s1444,s1052,s7994,s5842,s7672,s2363,s7938,s330,s284,s6109,s7964,s7951,s799,s807,s7979,s6579,s337,s865,s7570,s7991,s7993]) ).

cnf(s7997,plain,
    ( spl2_349
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s4480,s73,s7058,s6077,s43,s7394,s6856,s3247,s5803,s1754,s874,s1444,s1052,s5024,s3197,s4196,s7180,s6202,s7996,s7993,s865,s7570,s7991,s799,s7672,s2363,s7938,s330,s284,s7964]) ).

cnf(s7998,plain,
    ( ~ spl2_399
    | spl2_575
    | ~ spl2_284
    | spl2_383
    | ~ spl2_635
    | spl2_74
    | ~ spl2_78 ),
    inference(rat,[],[s6122,s7131,s4371,s7475,s4042]) ).

cnf(s7999,plain,
    ( ~ spl2_433
    | ~ spl2_475
    | ~ spl2_8
    | ~ spl2_624
    | ~ spl2_247
    | spl2_419
    | spl2_26 ),
    inference(rat,[],[s7875,s7574,s6289,s5953,s5581]) ).

cnf(s8000,plain,
    ( ~ spl2_255
    | spl2_116
    | spl2_248
    | ~ spl2_76
    | ~ spl2_49
    | ~ spl2_624
    | ~ spl2_288
    | ~ spl2_247
    | ~ spl2_111
    | spl2_419
    | ~ spl2_635
    | spl2_74
    | ~ spl2_78
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1102,s6716,s1852,s1289,s3971,s1216,s1219,s3096,s7999,s3774,s1298,s7998,s2748,s3973,s3452,s4850,s6568,s4042,s6564,s2253,s6559,s2455,s2293,s4244,s5005,s6125,s6124,s5253,s3097,s3021,s1074,s284,s3100,s4222,s3271,s187,s6899,s157,s4285,s1142,s7974,s3110,s7980,s7938,s13]) ).

cnf(s8001,plain,
    ( spl2_248
    | ~ spl2_288
    | ~ spl2_247
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s4937,s7986,s2528,s6437,s6507,s2449,s8000,s1142,s7974,s7982,s5293,s3110,s6109,s807,s7985,s1156,s806,s6579,s3247,s7981,s330,s5024,s5987,s6418,s694,s284,s2363,s187,s6899,s5816,s7180,s6647,s7980,s7964,s7938,s13,s7979,s1108,s3970,s337,s7997]) ).

cnf(s8002,plain,
    ( ~ spl2_255
    | ~ spl2_437
    | ~ spl2_389
    | ~ spl2_433
    | ~ spl2_540
    | ~ spl2_288
    | ~ spl2_247
    | ~ spl2_111
    | spl2_419
    | ~ spl2_635
    | spl2_74
    | ~ spl2_78 ),
    inference(rat,[],[s6435,s4042,s5957,s6564,s5005,s6122,s2253,s6124,s7772,s2248,s3021,s3100]) ).

cnf(s8003,plain,
    ( ~ spl2_288
    | ~ spl2_247
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s2447,s6437,s6507,s2449,s8002,s1086,s7475,s1298,s7975,s7999,s2241,s1750,s1748,s1142,s157,s1685,s7974,s7982,s73,s6126,s2340,s6077,s43,s2730,s8001,s803,s5816,s7180,s6647,s6418,s7980,s694,s2363,s7938,s13,s330,s6109,s7964,s807,s7979,s7985,s1156,s806,s1108,s7997,s3970,s6579,s337,s284]) ).

cnf(s8004,plain,
    ( ~ spl2_277
    | ~ spl2_614
    | ~ spl2_247
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s3247,s7491,s6887,s7994,s5852,s2340,s414,s2053,s7394,s3770,s130,s155,s6728,s6647,s284,s2363,s7938,s7964,s6642,s7979,s13,s806,s1108,s7997,s3970,s337,s8003]) ).

cnf(s8005,plain,
    ( ~ spl2_614
    | ~ spl2_247
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s7994,s3900,s6791,s73,s6723,s1685,s803,s7180,s8004,s2363,s7938,s6109,s1156,s806,s1108,s3970,s337,s2212,s8003,s7997]) ).

cnf(s8006,plain,
    ( ~ spl2_247
    | ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s73,s6863,s6077,s1080,s2730,s3321,s8005,s8003,s2363,s7938,s330,s284,s7964,s7997]) ).

cnf(s8007,plain,
    ( ~ spl2_73
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1754,s5803,s874,s3247,s3503,s6856,s7394,s6077,s73,s865,s1685,s2212,s7570,s7180,s6209,s6202,s929,s8006,s7997,s5655,s7979,s7964,s2363,s7938,s330,s284]) ).

cnf(s8008,plain,
    ( ~ spl2_67
    | ~ spl2_419
    | spl2_57
    | spl2_82
    | spl2_15
    | spl2_39 ),
    inference(rat,[],[s6856,s614,s3247,s165,s7983,s230,s73,s6755,s6077,s43,s1942,s2920,s2363,s337]) ).

cnf(s8009,plain,
    ( ~ spl2_419
    | ~ spl2_247
    | ~ spl2_114
    | spl2_61
    | spl2_73
    | spl2_82
    | spl2_15
    | spl2_4 ),
    inference(rat,[],[s3271,s6454,s3247,s5028,s6077,s5894,s73,s165,s4827,s6440,s232,s3540,s6723,s1156,s8008,s560,s1255,s1257,s1872,s6786,s874,s6418,s1444,s5987,s1052,s2977,s2,s3275,s7672,s2363,s7938,s337,s4124,s4528,s284]) ).

cnf(s8010,plain,
    ( ~ spl2_273
    | spl2_248
    | spl2_349
    | spl2_74
    | ~ spl2_86
    | ~ spl2_19
    | ~ spl2_22
    | spl2_419
    | ~ spl2_247
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s7131,s6122,s4584,s4371,s4362,s1298,s5954,s1086,s1034,s2040,s2041,s6777,s5567,s3217,s7574,s7875,s1289,s2293,s7987,s6125,s6912,s7271,s5585,s3716,s4525,s6437,s2253,s3096,s3182,s3973,s1236,s4937,s560,s2748,s4285,s742,s2528,s1255,s1957,s1257,s1142,s1076,s6507,s2449,s6786,s874,s7969,s46,s279,s5480,s7984,s2092,s1156,s4202,s1169,s3453,s6723,s5892,s1644,s160,s7983,s3789,s3271,s3247,s6856,s157,s7246,s2363,s7938,s330,s284,s7162,s4124,s5890,s13,s314,s337,s95,s2636,s7003,s8007]) ).

cnf(s8011,plain,
    ( spl2_248
    | spl2_349
    | spl2_74
    | ~ spl2_247
    | ~ spl2_288
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s3271,s7983,s3247,s5293,s7981,s6418,s8010,s2363,s7162,s9,s187,s6899,s73,s5629,s7980,s8009,s694,s5890,s330,s284,s7938,s13,s8007]) ).

cnf(s8012,plain,
    ( ~ spl2_24
    | spl2_419
    | ~ spl2_247
    | ~ spl2_288
    | spl2_15
    | ~ spl2_21
    | ~ spl2_16 ),
    inference(rat,[],[s7246,s7981,s6856]) ).

cnf(s8013,plain,
    ( spl2_74
    | ~ spl2_247
    | ~ spl2_288
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s8011,s7603,s1156,s6723,s4124,s160,s3789,s73,s5629,s2730,s43,s6067,s7983,s3271,s187,s6899,s7980,s3247,s8012,s2363,s7938,s4528,s8009,s694,s5890,s13,s8007,s330,s284]) ).

cnf(s8014,plain,
    ( ~ spl2_247
    | ~ spl2_288
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s52,s8013,s6067,s7983,s3271,s3247,s8012,s187,s6899,s7980,s8009,s2363,s7938,s330,s4528,s284,s5890,s8007,s13,s694]) ).

cnf(s8015,plain,
    ( spl2_67
    | ~ spl2_268
    | ~ spl2_322
    | spl2_61
    | spl2_73
    | spl2_82
    | spl2_15
    | spl2_4 ),
    inference(rat,[],[s7612,s140,s3247,s6077,s5894,s73,s2092,s280,s6881,s1108,s4330,s803,s4835,s5643,s6723,s5889,s1156,s2,s2363,s7938,s4124,s1872,s5655,s284]) ).

cnf(s8016,plain,
    ( ~ spl2_255
    | ~ spl2_433
    | spl2_575
    | spl2_245
    | ~ spl2_75
    | ~ spl2_19
    | ~ spl2_68
    | spl2_419
    | ~ spl2_67
    | spl2_74
    | ~ spl2_273
    | ~ spl2_617
    | spl2_61
    | spl2_4 ),
    inference(rat,[],[s4937,s3182,s2528,s2253,s6568,s6435,s1502,s7971,s1074,s279,s6515,s113]) ).

cnf(s8017,plain,
    ( spl2_349
    | ~ spl2_288
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s7271,s6125,s3716,s4429,s6437,s3182,s4937,s2528,s6507,s2449,s8016,s3096,s3973,s2748,s4285,s1236,s560,s1142,s742,s1255,s1957,s1257,s314,s7969,s1076,s3789,s6786,s874,s4868,s6515,s46,s5480,s3247,s9,s3446,s7552,s6737,s6856,s155,s157,s614,s113,s279,s6454,s43,s7033,s95,s799,s2636,s7003,s6442,s694,s1872,s5655,s1942,s337,s8008,s8015,s7180,s6202,s2363,s6209,s929,s8014,s5890,s13,s4528,s8007,s330,s284,s7938]) ).

cnf(s8018,plain,
    ( ~ spl2_116
    | ~ spl2_67
    | spl2_57
    | spl2_82
    | spl2_15
    | spl2_39 ),
    inference(rat,[],[s165,s230,s73,s6755,s6077,s43,s5976,s5630,s3770,s2363,s8008]) ).

cnf(s8019,plain,
    ( ~ spl2_288
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s43,s6067,s6454,s7983,s4823,s3247,s3446,s6856,s157,s8018,s8017,s1942,s8015,s7180,s6209,s6442,s6202,s929,s8014,s694,s2363,s7938,s330,s337,s4528,s284,s5890,s8007,s13]) ).

cnf(s8020,plain,
    ( spl2_269
    | spl2_474
    | spl2_396
    | spl2_289
    | spl2_340
    | ~ spl2_436
    | spl2_198
    | ~ spl2_273
    | spl2_293
    | ~ spl2_346
    | ~ spl2_86
    | spl2_74
    | ~ spl2_21 ),
    inference(rat,[],[s1847,s6127,s1298,s6641,s4359,s4461,s6122,s2140,s1248,s6285,s7271,s6125,s1178,s6781,s7790,s6124,s6775,s5712,s4087]) ).

cnf(s8021,plain,
    ( ~ spl2_551
    | spl2_655
    | spl2_657
    | ~ spl2_255
    | ~ spl2_436
    | spl2_198
    | ~ spl2_37
    | ~ spl2_273
    | spl2_282
    | spl2_74
    | spl2_82 ),
    inference(rat,[],[s5586,s1176,s4348,s6125,s4584,s880,s7271,s6435,s6564]) ).

cnf(s8022,plain,
    ( spl2_396
    | spl2_269
    | spl2_289
    | spl2_340
    | ~ spl2_436
    | spl2_198
    | ~ spl2_273
    | spl2_293
    | ~ spl2_346
    | ~ spl2_86
    | ~ spl2_24
    | spl2_74
    | ~ spl2_21 ),
    inference(rat,[],[s8020,s1768]) ).

cnf(s8023,plain,
    ( ~ spl2_396
    | ~ spl2_347
    | spl2_75
    | spl2_179
    | spl2_469
    | ~ spl2_86
    | ~ spl2_19
    | spl2_278
    | spl2_288 ),
    inference(rat,[],[s6949,s3431,s7574,s4624,s1208,s4199,s2018,s4867,s1308]) ).

cnf(s8024,plain,
    ( ~ spl2_255
    | ~ spl2_436
    | spl2_396
    | spl2_198
    | ~ spl2_37
    | ~ spl2_273
    | spl2_293
    | ~ spl2_346
    | ~ spl2_86
    | spl2_204
    | spl2_282
    | ~ spl2_24
    | spl2_74
    | ~ spl2_89
    | ~ spl2_419
    | spl2_82
    | ~ spl2_21
    | spl2_4 ),
    inference(rat,[],[s2253,s8021,s8022,s4780,s6413,s5872,s1150,s1462,s284,s2363,s7938,s106,s187,s1441,s7672]) ).

cnf(s8025,plain,
    ( spl2_255
    | spl2_181
    | ~ spl2_347
    | ~ spl2_19
    | spl2_74
    | spl2_76
    | spl2_278
    | ~ spl2_685
    | spl2_15
    | spl2_39 ),
    inference(rat,[],[s5982,s6293,s6331,s7995,s6507,s2363]) ).

cnf(s8026,plain,
    ( spl2_395
    | spl2_575
    | ~ spl2_422
    | ~ spl2_347
    | spl2_67
    | spl2_278
    | ~ spl2_63 ),
    inference(rat,[],[s3517,s7574,s4125,s5989,s6796,s3431,s1086,s1640,s7046,s1052]) ).

cnf(s8027,plain,
    ( spl2_295
    | ~ spl2_343
    | spl2_198
    | ~ spl2_347
    | spl2_74
    | spl2_67
    | spl2_278
    | ~ spl2_63 ),
    inference(rat,[],[s7271,s6125,s2760,s6792,s6980,s5982,s7573,s1640,s7046,s1052]) ).

cnf(s8028,plain,
    ( spl2_269
    | ~ spl2_259
    | ~ spl2_541
    | spl2_289
    | spl2_340
    | ~ spl2_68
    | spl2_393
    | spl2_396
    | spl2_198
    | ~ spl2_273
    | spl2_406
    | ~ spl2_346
    | ~ spl2_347
    | spl2_185
    | ~ spl2_86
    | ~ spl2_116
    | ~ spl2_207
    | spl2_74
    | spl2_76
    | spl2_278
    | ~ spl2_21 ),
    inference(rat,[],[s6127,s1569,s4366,s6117,s7322,s1248,s7025,s2140,s7045,s6781,s7790,s6124,s6775,s5712,s4087,s1142]) ).

cnf(s8029,plain,
    ( ~ spl2_68
    | spl2_49
    | spl2_74
    | ~ spl2_419
    | ~ spl2_247
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s7025,s7045,s6117,s5586,s4366,s4348,s6127,s4584,s1569,s1248,s4066,s2140,s6293,s8028,s6122,s5542,s8027,s6417,s8026,s5275,s2040,s2635,s6832,s5872,s1194,s8024,s1150,s1462,s8025,s2747,s5480,s5869,s13,s5842,s865,s948,s6856,s414,s139,s280,s537,s1957,s914,s5495,s7570,s1640,s7046,s7162,s1208,s1010,s4664,s4141,s1142,s8023,s799,s105,s106,s1113,s6723,s4124,s1668,s187,s1441,s302,s1236,s637,s1184,s221,s6745,s5865,s1644,s3453,s3695,s2363,s95,s2636,s4823,s165,s73,s5894,s3247,s2,s1156,s8008,s4528,s330,s284,s7938,s1754,s874,s8019,s1444,s1052,s2977,s7672,s337,s7003,s8007]) ).

cnf(s8030,plain,
    ( ~ spl2_255
    | spl2_417
    | spl2_559
    | ~ spl2_395
    | ~ spl2_58
    | spl2_393
    | spl2_396
    | spl2_198
    | ~ spl2_347
    | spl2_74
    | spl2_76
    | spl2_67
    | spl2_278
    | ~ spl2_419
    | ~ spl2_63
    | spl2_82
    | ~ spl2_21 ),
    inference(rat,[],[s4363,s4584,s6777,s1248,s7022,s2140,s6122,s5542,s6293,s4385,s8027,s1194,s5275,s1462]) ).

cnf(s8031,plain,
    ( spl2_49
    | spl2_74
    | ~ spl2_419
    | ~ spl2_247
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s5982,s4725,s1109,s7995,s6507,s8030,s2028,s2635,s8026,s3321,s2747,s7297,s43,s2501,s8029,s1010,s1208,s4664,s4141,s1142,s8023,s1957,s1640,s1236,s7046,s95,s637,s799,s2636,s1184,s105,s4823,s1113,s280,s221,s106,s165,s1668,s73,s187,s5894,s302,s1441,s3247,s2,s13,s337,s7003,s7162,s6745,s5865,s5842,s865,s7570,s1644,s3453,s3695,s1754,s874,s1444,s1052,s2977,s7672,s8019,s6723,s4124,s1156,s8008,s4528,s8007,s330,s284,s2363,s7938]) ).

cnf(s8032,plain,
    ( ~ spl2_49
    | spl2_76
    | spl2_67
    | spl2_73
    | spl2_82
    | spl2_15
    | ~ spl2_21
    | ~ spl2_16 ),
    inference(rat,[],[s3271,s7983,s7683]) ).

cnf(s8033,plain,
    ( ~ spl2_419
    | ~ spl2_247
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s8031,s1876,s8032,s1644,s3453,s3695,s8008,s2363,s7938,s13,s330,s337,s4528,s8007,s284]) ).

cnf(s8034,plain,
    ( spl2_49
    | ~ spl2_247
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s5852,s2053,s7994,s3770,s187,s414,s6856,s1441,s139,s3247,s7672,s2363,s7938,s330,s284,s337,s8019,s8033]) ).

cnf(s8035,plain,
    ( spl2_67
    | ~ spl2_49
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1644,s3453,s8032,s3695,s2363,s7938,s13,s330,s284,s8007]) ).

cnf(s8036,plain,
    ( ~ spl2_247
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s7994,s1052,s6737,s1444,s157,s5974,s8018,s1942,s8035,s8034,s5842,s7672,s7938,s13,s330,s337,s4528,s8007,s284,s865,s7570,s8019]) ).

cnf(s8037,plain,
    ( ~ spl2_255
    | ~ spl2_273
    | ~ spl2_346
    | ~ spl2_347
    | ~ spl2_362
    | spl2_103
    | spl2_276
    | ~ spl2_86
    | spl2_204
    | spl2_74
    | ~ spl2_89
    | ~ spl2_419
    | ~ spl2_268
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s6564,s4584,s2253,s4348,s3715,s5586,s5712,s6775,s6124,s1526,s6760,s7945,s4780,s6413,s5872,s1171,s1150,s1462,s284,s2363,s7938]) ).

cnf(s8038,plain,
    ( ~ spl2_419
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s7952,s3423,s8037,s1640,s7046,s799,s1052,s1685,s106,s7948,s4196,s73,s187,s414,s5894,s1441,s139,s1876,s3247,s8015,s8035,s1156,s8008,s2,s7672,s337,s7162,s4528,s5890,s8007,s13,s929,s1750,s2376,s7180,s6202,s8036,s2363,s7938,s330,s284,s8019]) ).

cnf(s8039,plain,
    ( spl2_67
    | spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s7033,s799,s43,s1685,s5976,s73,s3770,s5894,s6856,s3247,s8035,s1156,s2,s4528,s8007,s1750,s2376,s7180,s6202,s8036,s2363,s7938,s330,s284,s8019,s8038]) ).

cnf(s8040,plain,
    ( spl2_82
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s3197,s46,s4196,s9,s6737,s155,s157,s8018,s8039,s7180,s6202,s8036,s7570,s8019,s4528,s8007,s2363,s7938,s13,s330,s284]) ).

cnf(s8041,plain,
    ( ~ spl2_24
    | ~ spl2_419
    | spl2_74
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s105,s106,s7953,s1658,s6887,s4730,s629,s73,s414,s138,s6077,s2920,s1156,s1442,s8040,s7672,s330,s284,s2363,s13,s7938]) ).

cnf(s8042,plain,
    ( ~ spl2_419
    | ~ spl2_247
    | spl2_74
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s105,s106,s7953,s6126,s6737,s2772,s157,s2053,s3771,s3247,s8041,s76,s73,s1444,s6077,s43,s1052,s2920,s2977,s2363,s7938,s13,s330,s284,s1156,s1442,s8040,s7672]) ).

cnf(s8043,plain,
    ( ~ spl2_24
    | spl2_419
    | ~ spl2_247
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s5852,s2053,s7994,s414,s3770,s187,s8012,s143,s6856,s22,s1441,s7672,s2363,s7938,s13,s330,s284]) ).

cnf(s8044,plain,
    ( spl2_19
    | ~ spl2_247
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1695,s866,s362,s1533,s7150,s214,s2050,s7570,s349,s222,s7246,s7394,s3770,s7980,s94,s6734,s6899,s7037,s3687,s187,s7938,s13,s1156,s1442,s8040,s7672,s8042,s6109]) ).

cnf(s8045,plain,
    ( spl2_278
    | ~ spl2_86
    | ~ spl2_114
    | ~ spl2_247
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s6437,s3182,s2546,s5153,s6125,s4343,s7271,s6507,s2449,s7972,s7984,s279,s43,s3445,s6126,s560,s3229,s2772,s1167,s1957,s7741,s2053,s6583,s874,s6418,s5852,s5987,s1052,s2363,s13,s330,s284,s6514,s6581,s3271,s8044,s414,s130,s7938,s3771,s1333,s1156,s1442,s8040,s7672,s3247,s8043,s8042,s6109]) ).

cnf(s8046,plain,
    ( ~ spl2_86
    | ~ spl2_288
    | ~ spl2_247
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1546,s7575,s7084,s2984,s1091,s1086,s1034,s2040,s2041,s5567,s3217,s7574,s7875,s1289,s7987,s6912,s5585,s618,s4525,s4983,s2253,s3095,s3182,s3973,s4937,s4285,s2528,s1142,s2801,s6507,s7969,s4496,s4196,s7984,s279,s7180,s43,s6570,s6126,s3110,s710,s560,s2772,s157,s2672,s1167,s807,s2053,s6583,s4691,s3441,s6434,s5029,s8045,s3771,s4480,s106,s1333,s2363,s7938,s13,s330,s284,s7486,s779,s6515,s6514,s6581,s3271,s3247,s8043,s8042,s6109,s8044,s1156,s1442,s8040,s7672,s694]) ).

cnf(s8047,plain,
    ( ~ spl2_288
    | ~ spl2_247
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1034,s2028,s6436,s5583,s7084,s1289,s7987,s6912,s5585,s618,s4525,s1546,s4983,s2253,s7575,s3182,s6270,s5153,s5637,s6336,s3095,s710,s560,s5680,s3973,s1167,s807,s4285,s4496,s4196,s6583,s4691,s1142,s2801,s6507,s7180,s3441,s6434,s7969,s3110,s157,s7984,s7648,s7603,s279,s2730,s7394,s6077,s73,s8046,s694,s2363,s7938,s13,s330,s284,s7486,s779,s6515,s6581,s3271,s3247,s8043,s8042,s6109,s1156,s1442,s8040,s7672,s8044]) ).

cnf(s8048,plain,
    ( ~ spl2_247
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s5974,s1444,s5842,s1052,s865,s7994,s7570,s8047,s3271,s8044,s3247,s8043,s8042,s7672,s6109]) ).

cnf(s8049,plain,
    ( ~ spl2_33
    | ~ spl2_419
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1601,s4496,s799,s160,s5816,s94,s5888,s6899,s2,s13,s929,s629,s73,s6077,s2920,s1156,s1442,s8040,s7672,s1972,s2438,s3247,s8041,s6109,s7180,s6202,s8048,s2363,s7938,s330,s284]) ).

cnf(s8050,plain,
    ( ~ spl2_419
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s3445,s1946,s799,s3601,s5655,s2774,s2772,s6209,s6126,s7570,s105,s3197,s106,s4196,s7953,s187,s8049,s73,s6077,s43,s2920,s13,s1156,s1442,s8040,s7672,s6109,s929,s7180,s6202,s8048,s2363,s7938,s330,s284]) ).

cnf(s8051,plain,
    ( spl2_19
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1601,s4496,s799,s160,s5816,s73,s1972,s6077,s629,s2438,s7394,s94,s3247,s6734,s5888,s6899,s1441,s3687,s187,s2,s7672,s13,s8040,s6109,s929,s7180,s6202,s8048,s2363,s7938,s330,s284,s8050]) ).

cnf(s8052,plain,
    ( ~ spl2_24
    | ~ spl2_19
    | spl2_419
    | spl2_74
    | ~ spl2_73
    | ~ spl2_67
    | ~ spl2_82
    | spl2_15
    | ~ spl2_16 ),
    inference(rat,[],[s105,s4480,s106,s1658,s73,s4730,s6077,s629,s7394,s6856]) ).

cnf(s8053,plain,
    ( ~ spl2_116
    | ~ spl2_273
    | ~ spl2_617
    | ~ spl2_86
    | ~ spl2_76
    | ~ spl2_19
    | spl2_419
    | ~ spl2_73 ),
    inference(rat,[],[s3494,s4497,s1044,s43,s3601,s7394]) ).

cnf(s8054,plain,
    ( ~ spl2_86
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s7271,s6125,s618,s4429,s4983,s3182,s4937,s2528,s2801,s6507,s2449,s8016,s3095,s3973,s2748,s4285,s1142,s7969,s3110,s3494,s710,s560,s1044,s279,s1255,s1957,s3352,s1257,s43,s6786,s4496,s874,s6126,s3446,s2772,s157,s8053,s5655,s6442,s6209,s694,s7570,s3197,s4480,s13,s7486,s779,s929,s4196,s7180,s6202,s8048,s6515,s6514,s6581,s3271,s3247,s8052,s8050,s6109,s330,s284,s2363,s7938,s8051,s1156,s1442,s8040,s7672]) ).

cnf(s8055,plain,
    ( ~ spl2_288
    | ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1034,s2028,s6436,s5583,s7084,s1546,s7575,s6270,s1289,s5637,s7970,s3095,s3973,s2748,s4285,s1142,s7969,s3110,s3494,s710,s1512,s1255,s1957,s3352,s1257,s6786,s4496,s874,s3446,s5655,s6442,s6209,s694,s13,s7486,s779,s929,s4196,s7180,s6202,s8048,s6515,s6581,s3271,s3247,s8052,s6109,s8051,s279,s1156,s1442,s8040,s7672,s157,s7394,s6077,s73,s8054,s330,s284,s2363,s7938,s8050]) ).

cnf(s8056,plain,
    ( ~ spl2_73
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s5024,s4852,s568,s3197,s3972,s4033,s7570,s8055,s6069,s73,s8054,s2756,s3247,s8052,s4196,s8051,s8050,s7180,s6202,s8048,s6109,s3275,s2363,s1378,s7938,s330,s284,s1156,s1442,s8040,s7672]) ).

cnf(s8057,plain,
    ( ~ spl2_247
    | ~ spl2_419
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s5852,s6110,s2977,s8042,s414,s138,s6077,s2920,s1156,s1442,s8040,s7672,s330,s284,s2363,s13,s7938]) ).

cnf(s8058,plain,
    ( ~ spl2_419
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1685,s1750,s799,s7180,s7033,s6202,s8057,s1113,s6819,s138,s73,s6067,s6077,s43,s2920,s2363,s7938,s13,s330,s1156,s1442,s8040,s7672,s4528,s8056,s284]) ).

cnf(s8059,plain,
    ( ~ spl2_116
    | ~ spl2_247
    | spl2_419
    | ~ spl2_95
    | ~ spl2_63
    | ~ spl2_67
    | ~ spl2_82 ),
    inference(rat,[],[s1108,s806,s6480,s799,s3364,s1604,s3032,s807,s2053,s7246,s3770]) ).

cnf(s8060,plain,
    ( ~ spl2_247
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s1546,s7575,s7084,s2984,s1091,s1086,s1034,s2040,s2041,s5567,s3217,s7574,s7875,s1289,s7987,s6912,s5585,s618,s4525,s3095,s4983,s2253,s710,s3973,s3182,s1167,s4285,s4937,s4496,s6583,s4196,s807,s1142,s580,s2528,s2096,s742,s7180,s6294,s7969,s5892,s2801,s6507,s5619,s1076,s6570,s6434,s6515,s7984,s3321,s5480,s7603,s113,s279,s2730,s46,s4868,s3271,s43,s9,s7552,s6737,s7047,s155,s157,s8059,s6108,s3247,s8043,s2363,s7938,s330,s7486,s779,s1156,s1442,s7672,s7162,s4528,s284,s5890,s13,s621,s8056,s8040,s8058]) ).

cnf(s8061,plain,
    ( ~ spl2_86
    | spl2_19
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s3032,s5289,s7372,s5334,s4496,s4002,s160,s1113,s7162,s8056,s7180,s6202,s8060,s2363,s7938,s330,s284,s3247,s1441,s94,s6899,s187,s13,s53,s1156,s1442,s7672,s8040]) ).

cnf(s8062,plain,
    ( spl2_19
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s807,s1591,s7372,s799,s4496,s5029,s159,s113,s6077,s73,s8061,s94,s3247,s6734,s6899,s1441,s7694,s53,s3687,s187,s13,s1156,s1442,s7672,s621,s8056,s8040,s994,s7180,s6202,s8060,s2363,s7938,s330,s284]) ).

cnf(s8063,plain,
    ( ~ spl2_24
    | ~ spl2_19
    | spl2_247
    | ~ spl2_95
    | spl2_57
    | ~ spl2_67
    | spl2_15
    | spl2_26
    | spl2_39 ),
    inference(rat,[],[s1108,s5816,s280,s799,s73,s7033,s6077,s43,s113,s6199,s6819,s2802,s143,s22,s13,s7180,s6202,s2363]) ).

cnf(s8064,plain,
    ( spl2_115
    | ~ spl2_86
    | spl2_74
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s7271,s6125,s3716,s4429,s6437,s3182,s4937,s2528,s6507,s2449,s8016,s3095,s710,s2748,s1255,s3973,s1957,s3352,s1257,s6786,s4496,s874,s7486,s779,s8058,s6442,s694,s5655,s6209,s7570,s3197,s4196,s7180,s6202,s929,s4285,s1142,s7969,s279,s5890,s13,s2363,s3247,s8063,s8060,s330,s572,s742,s1076,s5480,s43,s6755,s1658,s105,s4480,s106,s8062,s4528,s284,s7938,s1156,s1442,s7672,s621,s8040,s7162,s8056]) ).

cnf(s8065,plain,
    ( ~ spl2_86
    | spl2_74
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s5029,s3441,s5852,s8064,s113,s43,s694,s6755,s7570,s1658,s3197,s105,s414,s4480,s106,s130,s13,s1156,s1442,s8040,s7672,s4528,s8056,s4196,s8062,s7180,s6202,s8060,s2363,s7938,s330,s284]) ).

cnf(s8066,plain,
    ( spl2_74
    | spl2_26
    | spl2_4 ),
    inference(rat,[],[s102,s113,s94,s6077,s5629,s73,s8065,s2363,s7938,s13,s330,s284,s1156,s1442,s8040,s7672,s8056,s8062]) ).

cnf(s8067,plain,
    ( spl2_26
    | spl2_4 ),
    inference(rat,[],[s6108,s8066,s8063,s8062,s8060,s621,s4528,s8056,s1156,s1442,s8040,s330,s284,s7672,s7938]) ).

cnf(s8068,plain,
    ( ~ spl2_73
    | spl2_198
    | spl2_666
    | ~ spl2_26 ),
    inference(rat,[],[s4854,s1644,s188,s5571,s1512,s6858]) ).

cnf(s8069,plain,
    ( spl2_19
    | spl2_67
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s2730,s2977,s929,s3110,s6209,s3336,s7837,s1640,s5655,s3276,s7637,s6457,s5028,s6423,s73,s229,s6643,s6380,s350,s1644,s6723,s3453,s4124,s7162,s8068,s1871,s1908,s6858,s2630,s3247,s6402,s1441,s8,s187,s7672,s1378,s885,s223,s8067,s337,s1156,s3695,s2363,s7938,s284]) ).

cnf(s8070,plain,
    ( ~ spl2_255
    | ~ spl2_115
    | spl2_419
    | ~ spl2_247
    | spl2_74
    | ~ spl2_294
    | spl2_273 ),
    inference(rat,[],[s2799,s5006,s6125,s6124,s3097,s3021,s1074,s3100]) ).

cnf(s8071,plain,
    ( spl2_255
    | spl2_116
    | spl2_15
    | spl2_579
    | spl2_4 ),
    inference(rat,[],[s5064,s1259,s4850,s2455,s7081,s6507,s2449,s8067,s3247,s6856,s2363,s7938]) ).

cnf(s8072,plain,
    ( ~ spl2_247
    | ~ spl2_255
    | ~ spl2_500
    | spl2_15
    | spl2_198
    | ~ spl2_73
    | ~ spl2_19
    | ~ spl2_78
    | spl2_4 ),
    inference(rat,[],[s8070,s7600,s7948,s6791,s3321,s2731,s5655,s7388,s284,s618,s7605,s1898,s6060,s8068,s5571,s1908,s6858,s885,s3247,s6856,s4098,s6077,s73,s188,s1512,s6855,s8067,s2363,s7938]) ).

cnf(s8073,plain,
    ( ~ spl2_73
    | spl2_67
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s1342,s1624,s7180,s3503,s6209,s6202,s929,s8072,s8071,s4098,s6723,s6077,s1898,s1974,s73,s6060,s2994,s5571,s1908,s5655,s188,s8068,s6858,s7985,s6855,s7388,s1512,s5568,s6579,s284,s2363,s7938,s885,s223,s8067,s337,s1156,s8069]) ).

cnf(s8074,plain,
    ( spl2_278
    | spl2_282
    | ~ spl2_499
    | spl2_216
    | spl2_598
    | ~ spl2_63
    | spl2_67
    | spl2_82
    | ~ spl2_26 ),
    inference(rat,[],[s1640,s7837,s5508]) ).

cnf(s8075,plain,
    ( spl2_392
    | spl2_419
    | ~ spl2_288
    | ~ spl2_247
    | spl2_48
    | ~ spl2_49
    | ~ spl2_665
    | spl2_86
    | ~ spl2_455 ),
    inference(rat,[],[s7204,s7875,s2962,s6407,s6548,s1142,s4846,s1734,s6117]) ).

cnf(s8076,plain,
    ( ~ spl2_392
    | spl2_61
    | ~ spl2_105
    | ~ spl2_49
    | ~ spl2_60
    | spl2_598
    | spl2_82 ),
    inference(rat,[],[s1142,s5636,s4285,s4363,s1730,s6777]) ).

cnf(s8077,plain,
    ( spl2_67
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s8075,s2977,s7994,s994,s8076,s5064,s1257,s874,s6256,s2092,s3321,s6881,s4330,s7973,s7180,s5024,s8074,s970,s2340,s1445,s1908,s6454,s7983,s1933,s2753,s6565,s3271,s3247,s6069,s5894,s6708,s73,s229,s6643,s6245,s350,s1644,s6723,s3453,s5889,s1878,s4124,s7162,s8073,s8069,s3695,s1156,s284,s2,s2363,s1378,s7938,s885,s223,s8067]) ).

cnf(s8078,plain,
    ( ~ spl2_496
    | ~ spl2_76
    | spl2_185
    | ~ spl2_67
    | ~ spl2_16 ),
    inference(rat,[],[s2028,s1034,s1468,s2079]) ).

cnf(s8079,plain,
    ( spl2_396
    | ~ spl2_254
    | spl2_286
    | spl2_289
    | spl2_386
    | spl2_496
    | spl2_74
    | ~ spl2_73 ),
    inference(rat,[],[s6641,s4500,s6127,s6122,s1569,s2140,s1142]) ).

cnf(s8080,plain,
    ( ~ spl2_247
    | ~ spl2_33
    | ~ spl2_73
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s5279,s7574,s1298,s4708,s4326,s4846,s2018,s8079,s5296,s7570,s3110,s7134,s6568,s7558,s6125,s2680,s6276,s5064,s2887,s5546,s6559,s1259,s6124,s2455,s5006,s7081,s6437,s7721,s7180,s2801,s2985,s2449,s6256,s6696,s3032,s7984,s3321,s6645,s799,s7600,s2731,s7603,s7388,s618,s3716,s7605,s284,s6708,s1898,s6060,s8068,s1908,s885,s8078,s3970,s337,s2363,s5049,s3247,s1441,s7672,s3748,s157,s7394,s2920,s8077,s43,s6755,s5027,s73,s188,s1512,s5571,s6858,s5568,s8067,s7938]) ).

cnf(s8081,plain,
    ( spl2_396
    | ~ spl2_654
    | ~ spl2_289
    | ~ spl2_248
    | ~ spl2_255
    | ~ spl2_277
    | spl2_115
    | spl2_112
    | spl2_363
    | spl2_247
    | spl2_419
    | ~ spl2_49
    | ~ spl2_33
    | spl2_496
    | spl2_74
    | spl2_86
    | ~ spl2_666
    | spl2_273
    | ~ spl2_73
    | ~ spl2_67 ),
    inference(rat,[],[s6607,s1102,s4026,s5956,s5362,s7726,s1086,s1740,s1034,s6122,s2040,s7772,s2041,s1289,s3365,s7575,s6640,s4802,s6117,s7574,s6548,s5432,s6715,s1142,s1257,s874]) ).

cnf(s8082,plain,
    ( spl2_19
    | ~ spl2_73
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s1740,s6122,s7726,s6383,s4342,s2018,s8081,s5153,s3182,s2386,s5520,s5545,s4845,s4850,s6940,s6124,s1150,s4807,s4046,s2250,s6501,s1153,s3321,s7785,s7759,s5064,s7973,s7180,s6460,s1257,s1342,s6125,s4823,s874,s1624,s6650,s7694,s3503,s6209,s5194,s994,s929,s8080,s157,s7394,s6454,s2920,s43,s5049,s6755,s3247,s5027,s1441,s187,s3275,s7672,s223,s1942,s7605,s807,s5655,s7388,s284,s73,s188,s1512,s2607,s714,s1898,s6060,s8068,s1908,s885,s8078,s5571,s6858,s5568,s8067,s3970,s337,s8077,s2363,s7938]) ).

cnf(s8083,plain,
    ( ~ spl2_247
    | ~ spl2_57
    | ~ spl2_15
    | ~ spl2_419
    | ~ spl2_60
    | ~ spl2_67
    | spl2_4 ),
    inference(rat,[],[s806,s6447,s5069,s7180,s2635,s1342,s3321,s1624,s6764,s1911,s1444,s1052,s2977,s7672,s223,s8067,s2340,s2920,s2363,s7938]) ).

cnf(s8084,plain,
    ( ~ spl2_277
    | ~ spl2_24
    | spl2_61
    | ~ spl2_60
    | spl2_77
    | spl2_273
    | ~ spl2_67
    | ~ spl2_5 ),
    inference(rat,[],[s1052,s5029,s860,s6447]) ).

cnf(s8085,plain,
    ( ~ spl2_268
    | spl2_485
    | spl2_204
    | ~ spl2_19
    | spl2_75
    | ~ spl2_14 ),
    inference(rat,[],[s5852,s1342,s5024]) ).

cnf(s8086,plain,
    ( ~ spl2_419
    | ~ spl2_73
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s3395,s7075,s6125,s6437,s3767,s2449,s1462,s7332,s5852,s5029,s877,s6447,s7180,s8085,s3321,s1624,s6081,s6209,s4106,s929,s8083,s6067,s2340,s43,s7953,s2920,s2363,s7938,s223,s1933,s6581,s1942,s8077,s337,s5655,s3716,s284,s1556,s7605,s807,s7388,s73,s188,s1512,s2607,s1898,s6060,s8068,s5571,s1908,s6858,s5568,s885,s8067,s8082]) ).

cnf(s8087,plain,
    ( ~ spl2_68
    | ~ spl2_247
    | ~ spl2_73
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s1911,s1624,s1052,s8085,s5024,s7180,s8071,s4114,s6256,s7984,s3321,s6645,s2731,s7603,s4098,s223,s1933,s1942,s8077,s337,s188,s1512,s3716,s7605,s284,s714,s1898,s6060,s8068,s5571,s1908,s6858,s5568,s885,s6855,s8082,s8067,s8086]) ).

cnf(s8088,plain,
    ( spl2_115
    | ~ spl2_247
    | ~ spl2_73
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s1911,s1624,s1052,s1342,s5024,s7180,s8084,s3247,s7600,s284,s2,s223,s1933,s7388,s6581,s1942,s8077,s337,s8082,s8086,s6077,s73,s188,s1512,s5568,s8067,s2340,s8087,s2363,s7938]) ).

cnf(s8089,plain,
    ( ~ spl2_247
    | ~ spl2_73
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s799,s6711,s5029,s5024,s1052,s1444,s8088,s2340,s8087,s7672,s2363,s7938,s1933,s6581,s1942,s8077,s337,s73,s188,s1512,s5568,s8067,s8082]) ).

cnf(s8090,plain,
    ( ~ spl2_68
    | ~ spl2_73
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s2386,s7950,s5520,s4845,s2691,s6940,s4046,s1502,s6124,s1074,s6284,s7785,s4796,s5064,s6125,s6447,s1257,s3247,s6650,s4823,s874,s6563,s5194,s3503,s155,s157,s4098,s6454,s3275,s7672,s7605,s807,s714,s1898,s6855,s8086,s3321,s6255,s7180,s8085,s1624,s6209,s929,s5655,s223,s4106,s7388,s2607,s1908,s885,s6060,s8068,s5571,s6858,s8082,s1933,s1942,s8077,s337,s284,s994,s8089,s2363,s7938,s73,s188,s1512,s5568,s8067]) ).

cnf(s8091,plain,
    ( ~ spl2_73
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s4822,s2028,s7574,s6567,s6715,s1142,s7767,s5064,s1257,s874,s5852,s3247,s5029,s8084,s6447,s2340,s8090,s7180,s8085,s1624,s6209,s4106,s994,s929,s8089,s8082,s2607,s73,s6060,s5571,s1908,s5655,s188,s8068,s6858,s6581,s7388,s1512,s3970,s5568,s284,s2,s2363,s7938,s885,s223,s1933,s1942,s8077,s337,s8067]) ).

cnf(s8092,plain,
    ( ~ spl2_419
    | ~ spl2_247
    | spl2_19
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s7853,s1640,s5655,s6067,s7572,s5508,s1445,s43,s2977,s8008,s2920,s8077,s7162,s4528,s284,s1878,s8091,s972,s1908,s6858,s2630,s3247,s1441,s7672,s885,s8067,s1378,s7938,s8,s187]) ).

cnf(s8093,plain,
    ( ~ spl2_68
    | spl2_419
    | ~ spl2_247
    | ~ spl2_49
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s5842,s5974,s865,s2092,s7570,s1169,s3535,s7043,s807,s3453,s7643,s6123,s157,s799,s6565,s5630,s2730,s7603,s6454,s7938,s1942,s8077,s337,s7162,s1878,s8091,s2630,s8067]) ).

cnf(s8094,plain,
    ( ~ spl2_255
    | ~ spl2_389
    | ~ spl2_474
    | spl2_293
    | ~ spl2_436
    | ~ spl2_559
    | spl2_48
    | spl2_419
    | ~ spl2_247
    | ~ spl2_49
    | spl2_74 ),
    inference(rat,[],[s4850,s1178,s1740,s6125,s6122,s3097,s7772,s2042,s1074]) ).

cnf(s8095,plain,
    ( ~ spl2_286
    | spl2_542
    | ~ spl2_396
    | ~ spl2_474
    | spl2_48
    | ~ spl2_49
    | spl2_74 ),
    inference(rat,[],[s6122,s1740,s6383,s4850]) ).

cnf(s8096,plain,
    ( ~ spl2_273
    | spl2_115
    | ~ spl2_247
    | spl2_19
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s6378,s6285,s3182,s6125,s7081,s6437,s1176,s5435,s8095,s3969,s7573,s6658,s2449,s8094,s2018,s1142,s6548,s2962,s7574,s7875,s6289,s7879,s157,s6786,s912,s2679,s5049,s2596,s972,s1908,s6858,s1378,s8,s3100,s6117,s5069,s1086,s7887,s1169,s8075,s8076,s6582,s337,s6708,s2077,s6583,s3276,s3343,s2630,s885,s73,s229,s353,s223,s7162,s6832,s6881,s4330,s6643,s6067,s7180,s625,s3968,s1108,s806,s8077,s7973,s4496,s5064,s1257,s874,s2340,s2363,s7938,s1878,s8067,s175,s43,s8093,s8092,s3247,s1441,s187,s7672,s4528,s8091,s284]) ).

cnf(s8097,plain,
    ( ~ spl2_116
    | spl2_115
    | spl2_419
    | ~ spl2_247 ),
    inference(rat,[],[s2053,s3770]) ).

cnf(s8098,plain,
    ( ~ spl2_255
    | ~ spl2_112
    | spl2_293
    | ~ spl2_436
    | ~ spl2_559
    | spl2_48
    | spl2_419
    | ~ spl2_247
    | ~ spl2_49
    | spl2_74 ),
    inference(rat,[],[s4850,s1178,s4244,s6125,s6124,s3097,s2042,s3021,s1074,s3100]) ).

cnf(s8099,plain,
    ( ~ spl2_286
    | ~ spl2_297
    | spl2_116
    | spl2_48
    | ~ spl2_49
    | spl2_4 ),
    inference(rat,[],[s1820,s3426,s3716,s7081,s4850,s284,s885,s2630,s8067]) ).

cnf(s8100,plain,
    ( spl2_115
    | ~ spl2_247
    | spl2_19
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s6378,s2887,s6285,s3182,s6125,s6124,s7081,s6437,s1176,s6940,s5435,s8099,s3969,s7573,s6658,s2985,s2449,s8098,s8097,s6294,s807,s8096,s625,s6832,s3321,s3968,s6881,s1108,s5069,s4330,s806,s7973,s7180,s4496,s5064,s1257,s874,s8077,s1878,s2596,s972,s1908,s6858,s2630,s885,s1378,s8,s175,s2340,s2363,s6643,s6067,s43,s8093,s8092,s3247,s1441,s187,s7672,s7938,s4528,s8091,s284,s8067]) ).

cnf(s8101,plain,
    ( ~ spl2_255
    | spl2_48
    | spl2_293
    | ~ spl2_559
    | ~ spl2_436
    | spl2_248
    | ~ spl2_115
    | spl2_419
    | ~ spl2_247
    | ~ spl2_49
    | spl2_74
    | ~ spl2_63 ),
    inference(rat,[],[s4850,s3362,s1178,s6773,s6125,s6124,s3097,s2042,s3021,s1074,s3100]) ).

cnf(s8102,plain,
    ( spl2_48
    | spl2_293
    | ~ spl2_185
    | ~ spl2_559
    | ~ spl2_436
    | spl2_248
    | spl2_116
    | spl2_588
    | ~ spl2_115
    | ~ spl2_58
    | spl2_419
    | ~ spl2_247
    | spl2_19
    | spl2_73
    | spl2_4 ),
    inference(rat,[],[s6285,s6378,s6125,s3182,s1176,s7081,s6437,s3969,s5435,s7573,s8099,s6658,s2449,s8101,s7162,s4528,s284,s1878,s2596,s972,s1908,s6858,s2630,s3247,s1441,s7672,s885,s8067,s1378,s7938,s8,s187]) ).

cnf(s8103,plain,
    ( ~ spl2_273
    | ~ spl2_247
    | spl2_19
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s3517,s3451,s1298,s5195,s7875,s7574,s6947,s5637,s3096,s3973,s8102,s625,s4056,s3968,s1086,s1108,s5069,s7887,s806,s4202,s7552,s6832,s7973,s7180,s157,s6479,s5602,s7372,s912,s2679,s8077,s7162,s1878,s1223,s1908,s6858,s2630,s885,s8,s1378,s3100,s175,s6381,s6117,s8076,s73,s229,s353,s223,s2340,s2363,s6582,s337,s6643,s6067,s43,s8093,s8092,s3247,s1441,s187,s7672,s7938,s4528,s8091,s284,s8067,s8100]) ).

cnf(s8104,plain,
    ( ~ spl2_411
    | ~ spl2_288
    | ~ spl2_676
    | ~ spl2_665
    | spl2_86
    | spl2_419
    | ~ spl2_247 ),
    inference(rat,[],[s7204,s7875,s2962,s6407,s6548]) ).

cnf(s8105,plain,
    ( ~ spl2_286
    | spl2_542
    | ~ spl2_396
    | spl2_48
    | spl2_392
    | ~ spl2_49
    | spl2_74
    | ~ spl2_63 ),
    inference(rat,[],[s7022,s6122,s4384,s6383,s4850,s4846]) ).

cnf(s8106,plain,
    ( ~ spl2_396
    | spl2_254
    | spl2_386
    | spl2_48
    | ~ spl2_395
    | ~ spl2_436
    | ~ spl2_115
    | spl2_392
    | spl2_86
    | spl2_76
    | spl2_282
    | spl2_179
    | ~ spl2_49
    | spl2_74
    | ~ spl2_63 ),
    inference(rat,[],[s6125,s1176,s7540,s7574,s8105,s6947,s3457,s4630,s4846,s2018]) ).

cnf(s8107,plain,
    ( spl2_48
    | ~ spl2_395
    | ~ spl2_690
    | spl2_293
    | spl2_248
    | ~ spl2_185
    | ~ spl2_559
    | spl2_268
    | ~ spl2_115
    | spl2_392
    | spl2_86
    | ~ spl2_58
    | spl2_419
    | ~ spl2_247
    | spl2_19
    | spl2_73
    | spl2_4 ),
    inference(rat,[],[s2887,s6124,s6437,s6940,s5435,s8099,s8102,s7753,s1298,s5949,s7574,s7875,s6407,s1142,s8106,s3969,s7573,s6658,s2985,s2449,s8101,s7162,s5049,s972,s1908,s6858,s2630,s3247,s1441,s7672,s885,s1378,s8,s187,s6067,s4528,s284,s6708,s1878,s8067,s2363,s7938,s6117,s6832,s7180]) ).

cnf(s8108,plain,
    ( ~ spl2_579
    | ~ spl2_33
    | spl2_4 ),
    inference(rat,[],[s1820,s3426,s5435,s3716,s284,s885,s2630,s3247,s1441,s7672,s8067]) ).

cnf(s8109,plain,
    ( spl2_268
    | spl2_48
    | ~ spl2_247
    | spl2_19
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s1086,s7887,s8107,s1169,s5627,s625,s2092,s3321,s3968,s6881,s1108,s5069,s4330,s806,s7973,s885,s8077,s7162,s1878,s2630,s175,s8076,s73,s229,s353,s223,s2340,s2363,s6582,s337,s6643,s6067,s43,s8093,s8092,s3247,s1441,s187,s7672,s7938,s4528,s8091,s284,s8067,s8100,s8103]) ).

cnf(s8110,plain,
    ( ~ spl2_286
    | ~ spl2_181
    | ~ spl2_268
    | spl2_48
    | ~ spl2_115
    | spl2_179
    | ~ spl2_49
    | spl2_74
    | ~ spl2_63 ),
    inference(rat,[],[s6620,s3362,s6125,s4850,s7762,s1077]) ).

cnf(s8111,plain,
    ( ~ spl2_288
    | ~ spl2_266
    | ~ spl2_284
    | ~ spl2_385
    | ~ spl2_690
    | ~ spl2_268
    | ~ spl2_676
    | ~ spl2_665
    | spl2_86
    | spl2_419
    | ~ spl2_247
    | spl2_198
    | spl2_179
    | spl2_74
    | ~ spl2_303 ),
    inference(rat,[],[s7204,s5949,s4708,s1298,s2018,s7409,s1142,s6952,s8104]) ).

cnf(s8112,plain,
    ( ~ spl2_411
    | ~ spl2_255
    | ~ spl2_448
    | ~ spl2_676
    | ~ spl2_665
    | spl2_419
    | spl2_74 ),
    inference(rat,[],[s6122,s7772,s7025,s6407]) ).

cnf(s8113,plain,
    ( ~ spl2_255
    | ~ spl2_448
    | ~ spl2_385
    | spl2_412
    | ~ spl2_690
    | ~ spl2_268
    | spl2_48
    | spl2_273
    | ~ spl2_115
    | spl2_392
    | ~ spl2_665
    | spl2_86
    | spl2_419
    | ~ spl2_247
    | spl2_198
    | spl2_179
    | ~ spl2_49
    | spl2_74
    | ~ spl2_63
    | ~ spl2_303 ),
    inference(rat,[],[s6947,s7574,s3457,s6333,s4846,s1142,s8112,s5842,s865,s7570,s8111,s6125,s618,s3097,s8070,s1074,s6117]) ).

cnf(s8114,plain,
    ( ~ spl2_396
    | spl2_542
    | ~ spl2_268
    | spl2_48
    | ~ spl2_115
    | spl2_392
    | ~ spl2_49
    | ~ spl2_63 ),
    inference(rat,[],[s6947,s7574,s3457,s4708,s4846]) ).

cnf(s8115,plain,
    ( spl2_48
    | ~ spl2_247
    | spl2_19
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s7559,s5546,s6124,s5006,s2801,s157,s7753,s1298,s5949,s7574,s7875,s6407,s1142,s8114,s618,s4921,s5594,s3182,s6437,s2449,s8113,s7045,s3969,s5640,s1114,s8110,s1972,s1108,s5801,s806,s1086,s799,s7887,s7043,s1169,s5627,s2092,s3321,s4257,s2756,s8109,s8077,s7162,s5049,s2596,s1908,s6858,s2630,s885,s8,s1378,s8108,s6708,s1878,s6117,s8076,s73,s229,s353,s223,s2340,s2363,s6582,s337,s6643,s6067,s43,s8093,s8092,s3247,s1441,s187,s7672,s7938,s4528,s8091,s284,s8067,s8100,s8103]) ).

cnf(s8116,plain,
    ( ~ spl2_247
    | spl2_19
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s6881,s6773,s4330,s6124,s799,s3021,s7043,s2449,s1011,s7081,s3362,s1102,s2455,s1256,s1258,s1259,s5064,s8115,s8103,s8100,s8076,s73,s229,s6582,s353,s6643,s6067,s2340,s43,s8093,s3100,s8092,s2363,s7938,s223,s337,s7162,s4528,s284,s1878,s8091,s8067,s3247,s1441,s7672,s8108,s187]) ).

cnf(s8117,plain,
    ( ~ spl2_419
    | spl2_19
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s1551,s5180,s1032,s5655,s799,s7853,s7033,s3750,s6067,s7572,s43,s2920,s7938,s885,s8077,s4528,s284,s1878,s8091,s8067,s3247,s1441,s187,s7672,s8116]) ).

cnf(s8118,plain,
    ( ~ spl2_286
    | ~ spl2_64
    | spl2_104
    | spl2_48
    | spl2_253
    | ~ spl2_49
    | ~ spl2_67
    | ~ spl2_547 ),
    inference(rat,[],[s4376,s701,s4845,s4851]) ).

cnf(s8119,plain,
    ( ~ spl2_68
    | spl2_104
    | spl2_273
    | ~ spl2_248
    | ~ spl2_277
    | ~ spl2_60
    | spl2_48
    | ~ spl2_278
    | spl2_363
    | spl2_247
    | spl2_579
    | spl2_253
    | ~ spl2_49
    | spl2_74
    | ~ spl2_63
    | ~ spl2_67
    | ~ spl2_547 ),
    inference(rat,[],[s1153,s2449,s7132,s2462,s6124,s4807,s6460,s6125,s6720,s5490,s8118,s7043,s799,s5029,s6501,s113]) ).

cnf(s8120,plain,
    ( spl2_115
    | spl2_19
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s6643,s6067,s7846,s43,s8119,s3276,s3336,s5602,s3321,s6209,s6256,s1032,s7180,s73,s4496,s3789,s5064,s1257,s874,s3275,s8077,s7162,s4528,s284,s1878,s8091,s713,s1908,s6858,s2630,s3247,s1441,s885,s8067,s1378,s8,s8108,s187,s929,s7694,s994,s8116,s2363,s7938,s7672]) ).

cnf(s8121,plain,
    ( ~ spl2_273
    | ~ spl2_321
    | ~ spl2_33
    | spl2_4 ),
    inference(rat,[],[s6209,s1032,s5602,s1549,s7938,s885,s6858,s2630,s3247,s1441,s7672,s8067]) ).

cnf(s8122,plain,
    ( spl2_19
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s6643,s6067,s7846,s43,s5976,s3770,s3503,s5655,s8121,s8120,s8117,s929,s8116,s187,s7938,s8067,s4528,s8091,s284]) ).

cnf(s8123,plain,
    ( spl2_115
    | spl2_104
    | ~ spl2_15
    | ~ spl2_116
    | ~ spl2_247
    | ~ spl2_26 ),
    inference(rat,[],[s1052,s1911,s2977,s2077,s8097,s6583]) ).

cnf(s8124,plain,
    ( ~ spl2_24
    | ~ spl2_247
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s7994,s695,s6347,s8123,s3276,s3343,s6067,s7572,s43,s6454,s8018,s5630,s5893,s5300,s4528,s284,s73,s6708,s4480,s8122,s1933,s1942,s8077,s337,s1878,s8091,s8067,s2363,s7938]) ).

cnf(s8125,plain,
    ( ~ spl2_419
    | ~ spl2_288
    | ~ spl2_247
    | ~ spl2_19
    | spl2_75
    | ~ spl2_67
    | ~ spl2_16 ),
    inference(rat,[],[s1052,s1911,s2977,s7953]) ).

cnf(s8126,plain,
    ( spl2_115
    | ~ spl2_247
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s6350,s4846,s4867,s1142,s8104,s6117,s8076,s6582,s6643,s6067,s7572,s2340,s43,s8093,s8125,s7570,s865,s5064,s5842,s1257,s5974,s874,s4528,s284,s73,s6708,s4480,s8122,s1933,s1942,s8077,s337,s1878,s8091,s8067,s2363,s7938,s3247,s8124]) ).

cnf(s8127,plain,
    ( ~ spl2_247
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s5064,s1258,s4846,s1102,s6350,s4867,s1142,s8104,s6117,s8076,s6582,s6643,s6067,s7572,s2340,s43,s8093,s2977,s7994,s1052,s1444,s8126,s3247,s8124,s7672,s4528,s284,s73,s6708,s4480,s8122,s1933,s1942,s8077,s337,s1878,s8091,s8067,s2363,s7938]) ).

cnf(s8128,plain,
    ( ~ spl2_116
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s6255,s7180,s3321,s1551,s6881,s5655,s5178,s4330,s7846,s799,s6643,s7033,s6067,s43,s6454,s5630,s885,s4528,s8091,s284,s73,s4480,s8122,s1933,s1942,s8077,s337,s8067,s994,s8127,s2363,s7938]) ).

cnf(s8129,plain,
    ( spl2_68
    | spl2_268
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s4330,s6643,s7973,s6067,s2340,s43,s4528,s284,s3247,s5300,s8128,s6708,s1878,s8091,s6881,s3321,s6256,s7180,s4480,s8122,s1933,s1942,s8077,s337,s8067,s994,s8127,s2363,s7938]) ).

cnf(s8131,plain,
    ( ~ spl2_437
    | ~ spl2_315
    | ~ spl2_411
    | ~ spl2_666
    | spl2_204
    | spl2_349
    | spl2_467
    | ~ spl2_49
    | ~ spl2_19
    | ~ spl2_63
    | spl2_456
    | ~ spl2_14 ),
    inference(rat,[],[s1102,s6789,s6607,s7085,s4026,s1477,s4125,s5956,s2984]) ).

cnf(s8132,plain,
    ( ~ spl2_286
    | spl2_115
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s1150,s2251,s5520,s2449,s442,s8099,s4845,s4850,s3275,s7672,s714,s1908,s6858,s885,s6069,s73,s1378,s7043,s799,s4823,s6454,s7162,s7643,s157,s2920,s8129,s4496,s5064,s1257,s874,s2630,s3247,s5300,s8128,s6708,s4480,s8122,s1933,s1942,s8077,s337,s1878,s2363,s7938,s8067,s8091]) ).

cnf(s8133,plain,
    ( spl2_115
    | spl2_82
    | spl2_4 ),
    inference(rat,[],[s1153,s1154,s2985,s7132,s6940,s6124,s6284,s4357,s6125,s6720,s5490,s8132,s3774,s3365,s1289,s1034,s2028,s1086,s8131,s7575,s4301,s1335,s7574,s6715,s1142,s6561,s4854,s7767,s6209,s1644,s4106,s5655,s4823,s6515,s7643,s6454,s113,s279,s2920,s8129,s7180,s4496,s5064,s1257,s874,s284,s7162,s929,s994,s8127,s157,s2607,s1908,s6858,s2630,s3247,s5300,s8128,s6708,s1878,s8091,s2363,s885,s6069,s73,s1378,s7938,s4480,s8122,s1933,s1942,s8077,s337,s8067]) ).

cnf(s8134,plain,
    ( spl2_82
    | spl2_4 ),
    inference(rat,[],[s7643,s2920,s8129,s5655,s5024,s3503,s3859,s8133,s2630,s3247,s5300,s157,s8128,s929,s8127,s6708,s4480,s8122,s1878,s8091,s1933,s1942,s8077,s337,s284,s2363,s7938,s8067]) ).

cnf(s8135,plain,
    ( ~ spl2_73
    | ~ spl2_358
    | spl2_115
    | ~ spl2_24
    | spl2_4 ),
    inference(rat,[],[s2672,s2250,s5987,s4844,s6418,s73,s696,s694,s7331,s1624,s3352,s1342,s7180,s7780,s7385,s284,s2,s2363,s7938,s223,s8067,s1156,s1442,s187,s1441,s7672,s874,s6110,s8134]) ).

cnf(s8136,plain,
    ( ~ spl2_68
    | spl2_282
    | spl2_115
    | ~ spl2_24
    | ~ spl2_247
    | spl2_4 ),
    inference(rat,[],[s5508,s1203,s6858,s1933,s1957,s46,s807,s1445,s20,s6294,s6856,s155,s3321,s6434,s8097,s2730,s7603,s2920,s2363,s7938,s8067,s1156,s1442,s8134,s187,s1441,s7672,s874,s8135,s6583]) ).

cnf(s8137,plain,
    ( spl2_115
    | spl2_49
    | ~ spl2_247
    | spl2_4 ),
    inference(rat,[],[s105,s4480,s106,s1658,s73,s6067,s5285,s43,s8136,s4528,s8135,s948,s6583,s6110,s874,s284,s1156,s1442,s8134,s22,s7938,s187,s1441,s3247,s7672]) ).

cnf(s8138,plain,
    ( ~ spl2_68
    | ~ spl2_73
    | spl2_419
    | ~ spl2_288
    | ~ spl2_115
    | ~ spl2_24
    | spl2_4 ),
    inference(rat,[],[s7641,s6515,s7394,s113,s2363,s7938,s1156,s1442,s8134,s187,s1441,s7672]) ).

cnf(s8139,plain,
    ( ~ spl2_73
    | spl2_419
    | ~ spl2_288
    | ~ spl2_115
    | ~ spl2_24
    | spl2_4 ),
    inference(rat,[],[s7331,s73,s3601,s5285,s7510,s43,s8138,s2363,s8067,s8134,s22,s7938,s187,s1441,s7672,s125,s2284,s696]) ).

cnf(s8140,plain,
    ( spl2_49
    | ~ spl2_247
    | spl2_4 ),
    inference(rat,[],[s6515,s7595,s113,s6856,s7510,s8059,s621,s7162,s8139,s125,s2284,s696,s2977,s7994,s1052,s1444,s8137,s187,s22,s1441,s3247,s2363,s7938,s1156,s1442,s8134,s7672]) ).

cnf(s8141,plain,
    ( ~ spl2_73
    | spl2_19
    | spl2_115
    | ~ spl2_247
    | spl2_4 ),
    inference(rat,[],[s6728,s3321,s6645,s2730,s7603,s43,s7047,s5027,s8097,s73,s7704,s188,s5571,s1512,s1156,s1442,s8134,s7672,s7180,s4496,s5064,s1257,s874,s2596,s187,s1908,s6858,s2630,s8140,s885,s8067,s8,s1378,s7938]) ).

cnf(s8142,plain,
    ( ~ spl2_68
    | spl2_19
    | spl2_115
    | ~ spl2_247
    | spl2_4 ),
    inference(rat,[],[s2028,s1034,s6436,s1289,s1847,s3358,s6127,s6641,s4461,s6122,s5283,s3774,s1298,s618,s6124,s7400,s5594,s1114,s5602,s6940,s7081,s6437,s8099,s807,s2801,s2985,s2449,s6294,s157,s7984,s3321,s6434,s8097,s2730,s7603,s279,s2920,s284,s2363,s7938,s885,s1156,s1442,s7672,s6858,s2630,s6110,s8134,s4496,s5064,s1257,s874,s8067,s8140,s8108,s187,s8141]) ).

cnf(s8143,plain,
    ( spl2_19
    | spl2_115
    | ~ spl2_247
    | spl2_4 ),
    inference(rat,[],[s694,s2077,s6387,s3276,s2977,s3343,s8097,s6067,s7047,s43,s8142,s4528,s8141,s187,s284,s2363,s7938,s1156,s1442,s8134,s7672,s6583,s4496,s5064,s1257,s874,s8067,s8140]) ).

cnf(s8144,plain,
    ( ~ spl2_73
    | ~ spl2_288
    | spl2_456
    | ~ spl2_277
    | spl2_115
    | spl2_198
    | spl2_4 ),
    inference(rat,[],[s5029,s799,s5987,s6084,s6418,s6581,s8068,s7385,s284,s2363,s7938,s8067,s1156,s1442,s8134,s7672,s694]) ).

cnf(s8145,plain,
    ( spl2_115
    | ~ spl2_247
    | spl2_4 ),
    inference(rat,[],[s6515,s7648,s113,s43,s7047,s4528,s8144,s8097,s8125,s7570,s865,s5842,s5974,s1933,s3271,s8143,s7180,s4496,s5064,s1257,s874,s284,s2363,s7938,s1156,s1442,s8134,s7672,s2630,s8140,s8067]) ).

cnf(s8146,plain,
    ( ~ spl2_73
    | spl2_19
    | ~ spl2_247
    | spl2_4 ),
    inference(rat,[],[s6276,s6125,s6559,s7721,s6650,s2455,s2801,s6434,s7081,s157,s7603,s7394,s43,s6437,s6755,s2449,s5027,s8070,s73,s618,s807,s188,s5571,s7605,s7388,s1512,s284,s7938,s6858,s2630,s8140,s8067,s2977,s1052,s1444,s8145,s53,s1156,s1442,s8134,s7672,s8108,s187]) ).

cnf(s8147,plain,
    ( spl2_73
    | ~ spl2_247
    | spl2_4 ),
    inference(rat,[],[s3321,s5619,s2730,s7603,s43,s7047,s8059,s2096,s621,s4528,s7162,s284,s1156,s1442,s8134,s2977,s1052,s1444,s8145,s7672]) ).

cnf(s8148,plain,
    ( ~ spl2_247
    | spl2_4 ),
    inference(rat,[],[s6084,s799,s7180,s5029,s5024,s6581,s1933,s7994,s3271,s8146,s8068,s8147,s1052,s1444,s8145,s2630,s8140,s8067,s1156,s1442,s8134,s7672]) ).

cnf(s8149,plain,
    ( ~ spl2_73
    | spl2_19
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s2445,s5006,s1153,s6124,s7785,s4807,s6460,s7394,s2920,s6125,s6501,s2340,s6650,s3321,s6447,s6434,s6728,s73,s5029,s618,s188,s6581,s5571,s7605,s1512,s284,s1156,s1442,s6110,s8134,s1203,s7694,s994,s2363,s7938,s807,s8121,s929,s8148,s6858,s2630,s7180,s4496,s3247,s1441,s187,s7672,s5064,s1257,s874,s8067]) ).

cnf(s8150,plain,
    ( spl2_395
    | ~ spl2_68
    | spl2_19
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s1006,s3002,s6607,s7697,s1289,s5957,s4066,s3365,s6122,s5432,s4371,s4026,s4323,s3451,s1298,s5157,s7575,s4301,s1335,s7574,s6655,s6436,s1086,s1941,s6561,s4106,s2596,s1640,s73,s8119,s6242,s6819,s4046,s6940,s121,s6435,s2253,s5594,s2760,s7132,s1153,s2449,s2462,s6124,s4807,s6501,s3321,s6294,s6434,s807,s8108,s6460,s6125,s6720,s8118,s7043,s799,s5029,s113,s7162,s8149,s3276,s3336,s6209,s5655,s8121,s284,s929,s713,s1908,s6858,s2630,s885,s1378,s8,s1156,s1442,s3275,s7180,s4496,s3247,s1441,s187,s5064,s1257,s874,s8067,s6110,s8134,s7694,s994,s8148,s2363,s7938,s7672]) ).

cnf(s8151,plain,
    ( ~ spl2_68
    | spl2_19
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s6607,s1102,s6441,s6716,s1289,s5432,s1034,s6265,s4027,s2028,s8150,s7724,s2760,s7132,s4046,s1153,s2449,s6940,s2462,s6124,s2384,s4807,s6460,s73,s6125,s8119,s6501,s6720,s3321,s8118,s6294,s7043,s6434,s799,s5029,s113,s279,s2920,s3275,s1156,s1442,s6110,s8134,s8108,s807,s7180,s4496,s5064,s1257,s874,s3276,s3336,s6209,s5655,s8121,s284,s929,s7694,s994,s8148,s2363,s713,s1908,s6858,s2630,s3247,s1441,s7672,s885,s8067,s1378,s7938,s8,s187,s7162,s8149]) ).

cnf(s8152,plain,
    ( spl2_393
    | ~ spl2_389
    | spl2_204
    | spl2_406
    | spl2_104
    | spl2_128
    | ~ spl2_33
    | spl2_4 ),
    inference(rat,[],[s1544,s3096,s7084,s6356,s6789,s284,s8067]) ).

cnf(s8153,plain,
    ( spl2_19
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s1034,s2028,s6436,s5157,s1298,s7753,s4664,s8152,s7575,s4301,s4055,s7706,s6480,s799,s3321,s7033,s7047,s6081,s43,s8151,s4528,s8149,s4106,s2596,s1223,s3276,s1908,s3336,s6561,s931,s6858,s6209,s4496,s2630,s5655,s3247,s959,s8121,s1441,s7694,s8,s187,s284,s1378,s885,s1156,s1442,s8134,s7672,s929,s994,s8148,s2363,s7938,s5064,s1257,s874,s8067]) ).

cnf(s8154,plain,
    ( ~ spl2_68
    | ~ spl2_73
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s6124,s6284,s5006,s4796,s2445,s6125,s1502,s6650,s1074,s5194,s7785,s157,s7394,s2920,s5064,s1257,s807,s5571,s2753,s5865,s618,s7605,s73,s3321,s6728,s188,s1512,s2630,s3247,s7780,s6110,s1156,s1442,s7672,s8153,s8134,s874,s2,s994,s2363,s7180,s1342,s1624,s6209,s5655,s7385,s284,s7938,s929,s8148,s223,s8067]) ).

cnf(s8155,plain,
    ( ~ spl2_73
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s4822,s2028,s6480,s6567,s6570,s2340,s8154,s7574,s6715,s1142,s7767,s3321,s4106,s6728,s2607,s188,s6060,s5571,s1908,s1933,s1512,s8068,s2753,s3271,s2630,s3247,s7780,s7180,s1342,s1624,s5865,s6209,s5655,s7385,s284,s2,s885,s223,s1156,s1442,s7672,s929,s994,s8148,s2363,s7938,s6110,s8134,s5064,s1257,s874,s8067,s8153]) ).

cnf(s8156,plain,
    ( ~ spl2_273
    | ~ spl2_86
    | ~ spl2_68
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s1445,s6202,s7649,s7180,s6858,s1549,s1957,s2363,s7938,s885,s8067,s929,s8148,s874,s6515,s113,s572,s742,s1076,s5480,s8153,s1156,s1442,s7672,s621,s8134,s7162,s8155]) ).

cnf(s8157,plain,
    ( ~ spl2_68
    | ~ spl2_24
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s1342,s1624,s7180,s6209,s6563,s5655,s8156,s73,s5893,s94,s6514,s113,s284,s7938,s223,s8067,s1156,s1442,s7672,s929,s8148,s6110,s8134,s8153,s8155]) ).

cnf(s8158,plain,
    ( ~ spl2_24
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s105,s4480,s106,s73,s6819,s5285,s6067,s43,s8157,s125,s22,s7938,s1156,s1442,s7672,s8153,s4528,s284,s7169,s7162,s8155,s8134]) ).

cnf(s8159,plain,
    ( ~ spl2_273
    | spl2_77
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s799,s6084,s5029,s5602,s5508,s1445,s6202,s7180,s4496,s5064,s1257,s874,s2363,s8148,s970,s6069,s73,s1378,s7938,s1908,s6858,s2630,s885,s4854,s1644,s6515,s4480,s1933,s3271,s3247,s8158,s8067,s1156,s1442,s8134,s7672,s8153]) ).

cnf(s8160,plain,
    ( ~ spl2_255
    | ~ spl2_116
    | ~ spl2_620
    | spl2_419
    | ~ spl2_68
    | spl2_456
    | ~ spl2_49
    | ~ spl2_95 ),
    inference(rat,[],[s6157,s2455,s7117,s440,s618,s1502,s7724,s1074,s5253]) ).

cnf(s8161,plain,
    ( ~ spl2_116
    | ~ spl2_399
    | ~ spl2_68
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s1820,s3425,s3716,s6940,s2462,s6124,s6284,s4357,s6125,s3767,s2985,s2449,s8160,s3601,s929,s6110,s621,s2920,s3453,s1644,s6515,s8155,s5655,s7574,s6715,s7767,s4106,s8159,s113,s2607,s6069,s73,s1378,s4480,s1156,s1442,s8134,s7672,s1908,s6858,s2630,s885,s1933,s3271,s8153,s284,s994,s8148,s2363,s7938,s7180,s4496,s3247,s8158,s5064,s1257,s874,s8067]) ).

cnf(s8162,plain,
    ( spl2_295
    | ~ spl2_362
    | ~ spl2_399
    | ~ spl2_64
    | spl2_349
    | ~ spl2_314
    | ~ spl2_76
    | spl2_346
    | spl2_456
    | ~ spl2_49
    | ~ spl2_63
    | spl2_48
    | spl2_74
    | spl2_115
    | ~ spl2_67 ),
    inference(rat,[],[s888,s2760,s4851,s3000,s7132,s6940,s6984,s6124,s6284,s4357,s6125,s6800,s5982,s4046,s4496,s799]) ).

cnf(s8163,plain,
    ( ~ spl2_295
    | ~ spl2_395
    | ~ spl2_68
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s8099,s2140,s2985,s2449,s6122,s1153,s5542,s1154,s6110,s8161,s3774,s3365,s1289,s1034,s2028,s279,s7575,s4301,s1335,s7574,s6715,s7767,s4106,s2607,s6069,s73,s1378,s4480,s1908,s6858,s2630,s885,s1933,s3271,s8153,s994,s2363,s7180,s4496,s5064,s1257,s8067,s6561,s6209,s5655,s8159,s113,s1156,s1442,s8134,s7672,s7938,s929,s8148,s874,s3247,s8158,s284]) ).

cnf(s8164,plain,
    ( spl2_349
    | ~ spl2_68
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s8118,s6940,s3276,s6124,s3336,s4807,s1052,s6125,s8162,s6800,s4046,s8163,s3774,s3365,s1289,s1034,s2028,s1086,s7043,s8131,s799,s3275,s6110,s7162,s8155,s6779,s714,s279,s6501,s3321,s6728,s4854,s1644,s6515,s1142,s7575,s4301,s1335,s7574,s6715,s7767,s4106,s2607,s6069,s73,s1378,s4480,s1908,s6858,s2630,s885,s1933,s3271,s8153,s994,s2363,s7180,s4496,s5064,s1257,s8067,s6561,s6209,s5655,s8159,s113,s1156,s1442,s8134,s7672,s284,s7938,s929,s8148,s874,s3247,s8158]) ).

cnf(s8165,plain,
    ( ~ spl2_68
    | spl2_115
    | spl2_4 ),
    inference(rat,[],[s4822,s2028,s1086,s5956,s7085,s6789,s1102,s5543,s1479,s4300,s877,s8164,s6117,s7574,s6548,s6715,s1142,s6561,s7767,s6209,s4106,s5655,s8159,s4854,s8078,s1644,s6515,s113,s279,s284,s929,s994,s8148,s2363,s7180,s4496,s5064,s1257,s874,s2607,s6069,s73,s1378,s7938,s4480,s1933,s3271,s1156,s1442,s8134,s7672,s8153,s1908,s6858,s2630,s3247,s8158,s885,s8067]) ).

cnf(s8167,plain,
    ( spl2_396
    | spl2_185
    | spl2_61
    | ~ spl2_60
    | ~ spl2_277
    | spl2_363 ),
    inference(rat,[],[s4822,s2028,s7574,s5636,s6715,s1142,s6447]) ).

cnf(s8168,plain,
    ( spl2_115
    | spl2_4 ),
    inference(rat,[],[s6350,s4846,s4867,s8167,s6480,s6447,s7572,s2340,s43,s8165,s3321,s6728,s73,s4480,s1933,s7180,s3271,s4496,s3247,s8158,s8155,s8153,s5064,s1257,s874,s284,s8067,s1156,s1442,s8134,s7672,s994,s8148,s2363,s7938]) ).

cnf(s8169,plain,
    ( spl2_273
    | ~ spl2_68
    | spl2_4 ),
    inference(rat,[],[s7394,s2280,s3503,s1591,s5655,s807,s284,s2005,s929,s8148,s2920,s799,s5029,s113,s1052,s1444,s8168,s1156,s1442,s8134,s7672]) ).

cnf(s8170,plain,
    ( ~ spl2_24
    | ~ spl2_19
    | spl2_4 ),
    inference(rat,[],[s3197,s5024,s4196,s7570,s7187,s3398,s22,s2363,s7938,s929,s3136,s8148,s1052,s1444,s8168,s7672]) ).

cnf(s8171,plain,
    ( ~ spl2_68
    | spl2_4 ),
    inference(rat,[],[s4854,s6084,s4480,s7180,s5602,s1933,s1549,s6858,s3271,s2630,s3247,s8170,s1644,s6515,s187,s8121,s8169,s799,s5029,s113,s885,s8067,s1156,s1442,s8134,s929,s8148,s1052,s1444,s8168,s7672]) ).

cnf(s8172,plain,
    ( spl2_19
    | spl2_4 ),
    inference(rat,[],[s4822,s2028,s1086,s7574,s2075,s5279,s1298,s7753,s4664,s4846,s8152,s8167,s931,s7180,s621,s5816,s5571,s7706,s6755,s5027,s1223,s4106,s5064,s73,s3276,s1908,s557,s1256,s6863,s3336,s6858,s3503,s6209,s2630,s3032,s5655,s3247,s8121,s1441,s959,s8,s187,s284,s1378,s885,s8067,s994,s1052,s1444,s7672,s2340,s2363,s7938,s1108,s6480,s1080,s799,s1601,s629,s929,s5580,s43,s8171,s8134,s3136,s8168,s8148]) ).

cnf(s8173,plain,
    spl2_4,
    inference(rat,[],[s1278,s1208,s4991,s4867,s4817,s8167,s6077,s7047,s7180,s73,s4528,s5024,s4480,s6581,s1933,s3271,s3247,s8170,s8172,s6480,s5029,s799,s1601,s5580,s2340,s629,s43,s8171,s1052,s3136,s1444,s8168,s994,s929,s8148,s1156,s1442,s8134,s8067,s2363,s7938,s7672,s284]) ).

cnf(s8174,plain,
    ~ spl2_555,
    inference(rat,[],[s1938,s8173]) ).

cnf(s8175,plain,
    ( ~ spl2_247
    | spl2_67
    | ~ spl2_68
    | ~ spl2_24
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s2077,s1394,s13,s7380,s1108,s6480,s3321,s799,s6712,s7046,s696,s1640,s2825,s1052,s7162,s157,s2673,s423,s2576,s2053,s6583,s2921,s187,s4012,s6868,s1156,s8173,s8174]) ).

cnf(s8177,plain,
    ( ~ spl2_116
    | ~ spl2_39
    | ~ spl2_68 ),
    inference(rat,[],[s1461,s7252,s8173]) ).

cnf(s8179,plain,
    ( ~ spl2_39
    | ~ spl2_21
    | spl2_76
    | spl2_322
    | spl2_198
    | ~ spl2_23
    | ~ spl2_273
    | ~ spl2_321
    | spl2_67
    | ~ spl2_68
    | spl2_6
    | spl2_19 ),
    inference(rat,[],[s3596,s7279,s7263,s3,s4622,s157,s2569,s91,s8177,s7162,s1872,s73,s5028,s5890,s2576,s1156]) ).

cnf(s8180,plain,
    ( ~ spl2_21
    | spl2_76
    | spl2_322
    | ~ spl2_277
    | spl2_198
    | ~ spl2_23
    | ~ spl2_273
    | spl2_247
    | spl2_67
    | ~ spl2_68
    | spl2_6
    | spl2_19 ),
    inference(rat,[],[s3463,s157,s6222,s5983,s2363,s8179,s929,s8173,s8174]) ).

cnf(s8181,plain,
    ( spl2_268
    | spl2_198
    | ~ spl2_23
    | ~ spl2_273
    | spl2_247
    | spl2_67
    | ~ spl2_68
    | spl2_6
    | spl2_282
    | spl2_19 ),
    inference(rat,[],[s5602,s6209,s6858,s1426,s13,s8180,s5967,s931,s1032,s7180,s187,s929]) ).

cnf(s8182,plain,
    ( ~ spl2_255
    | spl2_419
    | ~ spl2_82
    | spl2_349
    | spl2_26
    | ~ spl2_268
    | spl2_74
    | ~ spl2_23
    | spl2_276
    | ~ spl2_68 ),
    inference(rat,[],[s5546,s6124,s5034,s7132,s2445,s1502,s2760,s618,s1074,s3596,s1171,s7162,s2576]) ).

cnf(s8183,plain,
    ( ~ spl2_273
    | spl2_67
    | ~ spl2_68
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s6379,s6285,s2907,s5248,s7762,s6125,s3767,s2449,s8182,s1461,s5976,s157,s35,s5983,s22,s2363,s8179,s5643,s1685,s1750,s1113,s73,s6819,s5028,s5992,s5890,s13,s885,s1549,s8181,s1872,s2576,s1957,s2811,s924,s132,s4012,s6868,s948,s874,s1441,s187,s1156,s929,s8175,s3247,s8173]) ).

cnf(s8184,plain,
    ( ~ spl2_255
    | spl2_349
    | ~ spl2_278
    | spl2_112
    | spl2_74
    | spl2_662
    | ~ spl2_116
    | ~ spl2_111
    | ~ spl2_68 ),
    inference(rat,[],[s6124,s4807,s7132,s6125,s1502,s6650,s2760,s1074,s903,s7162,s7394,s1461,s8173]) ).

cnf(s8185,plain,
    ( spl2_268
    | ~ spl2_56
    | ~ spl2_116
    | ~ spl2_111
    | spl2_247
    | spl2_67
    | ~ spl2_68
    | spl2_49
    | spl2_115
    | ~ spl2_33 ),
    inference(rat,[],[s6293,s3497,s6940,s2462,s6124,s4807,s6460,s6125,s3767,s2985,s2449,s8184,s6878,s2992,s2250,s3321,s5967,s6294,s1055,s931,s1032,s879,s3247,s948,s874,s1156,s929,s6288,s2363,s8177,s6110,s5976,s4012,s6868,s7394,s1461,s8173]) ).

cnf(s8186,plain,
    ( ~ spl2_21
    | ~ spl2_268
    | spl2_73
    | ~ spl2_82
    | ~ spl2_111
    | ~ spl2_89
    | ~ spl2_24
    | spl2_19 ),
    inference(rat,[],[s6294,s3321,s6434,s5334,s1685,s4002,s1750,s1113,s73,s6819,s5028,s2802,s5890,s132,s2280,s2005,s8173]) ).

cnf(s8187,plain,
    ( spl2_67
    | ~ spl2_68
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s6221,s1625,s1624,s1394,s223,s13,s8186,s1342,s8185,s35,s7394,s2363,s1461,s5976,s8177,s2064,s1511,s4266,s807,s8183,s929,s8175,s1156,s187,s4012,s6868,s3247,s8173]) ).

cnf(s8188,plain,
    ( ~ spl2_247
    | ~ spl2_67
    | ~ spl2_68
    | spl2_115 ),
    inference(rat,[],[s6294,s807,s3321,s6434,s423,s2576,s2730,s7603,s2921,s2920,s6808,s1973,s8173,s8174]) ).

cnf(s8189,plain,
    ( spl2_26
    | ~ spl2_277
    | ~ spl2_95
    | ~ spl2_273
    | spl2_247
    | ~ spl2_67
    | ~ spl2_68
    | ~ spl2_24
    | spl2_19 ),
    inference(rat,[],[s3463,s2064,s6222,s2787,s2363,s5598,s6457,s3276,s3343,s2802,s13,s132,s8173,s8174]) ).

cnf(s8190,plain,
    ( spl2_268
    | spl2_198
    | ~ spl2_23
    | ~ spl2_273
    | spl2_247
    | ~ spl2_67
    | ~ spl2_68
    | ~ spl2_24
    | spl2_19 ),
    inference(rat,[],[s5602,s6209,s6858,s1426,s8189,s1032,s7180,s187,s929,s621,s2576,s6808,s1973,s8174,s8173]) ).

cnf(s8191,plain,
    ( ~ spl2_265
    | spl2_255
    | ~ spl2_56
    | spl2_179
    | ~ spl2_38
    | ~ spl2_268
    | spl2_276 ),
    inference(rat,[],[s6379,s6285,s2907,s5248,s7762,s2449,s8173]) ).

cnf(s8192,plain,
    ( spl2_396
    | spl2_289
    | spl2_286
    | ~ spl2_292
    | spl2_386
    | spl2_255
    | ~ spl2_116
    | spl2_74
    | ~ spl2_24
    | ~ spl2_33 ),
    inference(rat,[],[s1026,s1298,s1289,s1847,s3358,s6127,s6641,s6635,s4523,s6122,s2140,s5432,s1768,s4378,s8173,s8174]) ).

cnf(s8193,plain,
    ( ~ spl2_86
    | spl2_286
    | ~ spl2_292
    | spl2_269
    | ~ spl2_266
    | spl2_386
    | spl2_255
    | ~ spl2_116
    | spl2_179
    | ~ spl2_268
    | ~ spl2_95
    | spl2_247
    | spl2_74
    | ~ spl2_68
    | ~ spl2_24
    | ~ spl2_33 ),
    inference(rat,[],[s6127,s6641,s3103,s4523,s3217,s6122,s7574,s7131,s1086,s4708,s4624,s2018,s8192,s440,s5522,s4087,s5712,s2293,s5705,s3321,s5334,s4002,s2449,s618,s4378,s8173,s8174]) ).

cnf(s8194,plain,
    ( spl2_255
    | ~ spl2_116
    | ~ spl2_56
    | spl2_179
    | spl2_39
    | spl2_278
    | spl2_61
    | ~ spl2_268
    | ~ spl2_95
    | spl2_73
    | spl2_276
    | spl2_247
    | spl2_74
    | ~ spl2_68
    | ~ spl2_24
    | ~ spl2_33 ),
    inference(rat,[],[s5640,s7557,s73,s1120,s8193,s2680,s618,s2887,s5546,s4378,s6124,s1194,s6437,s2462,s6792,s2546,s6125,s8191,s3423,s2985,s2449,s929,s1052,s2363,s22,s8173,s8174]) ).

cnf(s8195,plain,
    ( ~ spl2_273
    | ~ spl2_67
    | ~ spl2_68
    | ~ spl2_24
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s5816,s1108,s8182,s8194,s2064,s35,s2376,s2787,s2363,s6221,s5598,s1625,s6457,s3276,s3343,s2802,s5890,s13,s885,s1342,s1549,s8190,s621,s2576,s1957,s2811,s924,s187,s132,s874,s53,s2920,s279,s6808,s1973,s929,s8188,s8173,s8174]) ).

cnf(s8196,plain,
    ( spl2_396
    | ~ spl2_278
    | ~ spl2_277
    | spl2_363
    | ~ spl2_116
    | spl2_273
    | spl2_247
    | ~ spl2_24
    | spl2_115
    | ~ spl2_33 ),
    inference(rat,[],[s1026,s1289,s1298,s3365,s5157,s7575,s6640,s1609,s4801,s7574,s5432,s6715,s1768,s8173]) ).

cnf(s8197,plain,
    ( spl2_268
    | ~ spl2_56
    | ~ spl2_116
    | spl2_273
    | spl2_74
    | ~ spl2_67
    | ~ spl2_68
    | ~ spl2_24
    | spl2_115
    | ~ spl2_33 ),
    inference(rat,[],[s1026,s1289,s1298,s3365,s5157,s7575,s6640,s1609,s4801,s4272,s7574,s6122,s6655,s6436,s6383,s4624,s2018,s8196,s1194,s4378,s2760,s7132,s906,s6940,s6124,s1113,s4807,s6460,s5758,s6125,s7043,s3767,s2985,s799,s94,s8184,s5029,s6563,s1055,s1032,s879,s7180,s112,s6808,s1973,s929,s807,s6288,s994,s2363,s8177,s8188,s1640,s7162,s3240,s8173,s8174]) ).

cnf(s8198,plain,
    ( spl2_349
    | spl2_179
    | ~ spl2_268
    | spl2_73
    | spl2_273
    | ~ spl2_82
    | ~ spl2_24 ),
    inference(rat,[],[s5334,s4002,s3321,s5758,s6294,s7043,s6434,s799,s807,s7162]) ).

cnf(s8199,plain,
    ( spl2_76
    | ~ spl2_485
    | ~ spl2_268
    | spl2_73
    | spl2_39
    | spl2_273
    | ~ spl2_321
    | ~ spl2_82
    | spl2_185
    | ~ spl2_67
    | ~ spl2_24
    | spl2_19 ),
    inference(rat,[],[s5816,s1108,s8198,s2376,s6221,s1625,s3276,s3343,s8173]) ).

cnf(s8200,plain,
    ( ~ spl2_68
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s6221,s1625,s1624,s1394,s223,s13,s2802,s8199,s1342,s8197,s35,s621,s2363,s3240,s8177,s2064,s1511,s4266,s8195,s929,s8188,s6808,s279,s53,s1973,s8187,s187,s3247,s8173,s8174]) ).

cnf(s8201,plain,
    ( spl2_278
    | ~ spl2_248
    | spl2_128
    | ~ spl2_273
    | spl2_67
    | ~ spl2_58
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s5028,s73,s5890,s6863,s13,s1080,s3445,s1344,s799,s183,s6916,s3543,s1057,s187,s1156,s6786,s423,s2811,s3229,s1957,s874,s8173]) ).

cnf(s8202,plain,
    ( ~ spl2_278
    | ~ spl2_275
    | ~ spl2_107 ),
    inference(rat,[],[s2718,s1203,s8173]) ).

cnf(s8203,plain,
    ( ~ spl2_273
    | spl2_67
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s13,s2802,s885,s5816,s1549,s621,s7837,s931,s3445,s4835,s1108,s6480,s8201,s799,s3321,s3543,s5649,s8202,s3750,s929,s3229,s423,s1957,s2811,s6786,s3247,s948,s874,s43,s8200,s8173]) ).

cnf(s8204,plain,
    ( ~ spl2_73
    | ~ spl2_358
    | ~ spl2_248 ),
    inference(rat,[],[s4019,s2672,s8173]) ).

cnf(s8205,plain,
    ( ~ spl2_247
    | ~ spl2_277
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s8204,s6832,s7151,s6341,s2064,s2673,s2053,s6583,s187,s4012,s6868,s3247,s43,s8200,s8173,s8174]) ).

cnf(s8206,plain,
    ( spl2_278
    | spl2_8
    | spl2_247
    | ~ spl2_277
    | spl2_273
    | spl2_19 ),
    inference(rat,[],[s13,s86,s6642,s2363,s7038,s6222,s1052,s8173]) ).

cnf(s8207,plain,
    ( ~ spl2_255
    | ~ spl2_474
    | ~ spl2_468
    | ~ spl2_389
    | ~ spl2_21
    | spl2_74
    | ~ spl2_86
    | spl2_179
    | spl2_103
    | ~ spl2_116
    | spl2_128
    | spl2_268
    | ~ spl2_89
    | ~ spl2_58
    | ~ spl2_33 ),
    inference(rat,[],[s7111,s3715,s6400,s6353,s4725,s1192,s1109,s6760,s6940,s1740,s6124,s6122,s1248,s1761,s7772,s1150,s903,s1461,s8173]) ).

cnf(s8208,plain,
    ( ~ spl2_73
    | spl2_179
    | ~ spl2_278
    | ~ spl2_116
    | ~ spl2_248
    | spl2_128
    | spl2_247
    | spl2_268
    | spl2_273
    | ~ spl2_89
    | ~ spl2_58
    | ~ spl2_24
    | spl2_115
    | ~ spl2_33 ),
    inference(rat,[],[s4725,s1109,s7132,s6940,s6124,s4807,s6125,s2762,s3767,s2985,s8207,s2363,s2738,s7726,s2307,s1263,s1026,s1289,s3365,s7575,s6640,s4199,s1609,s4801,s7574,s6655,s3782,s4624,s2018,s8196,s6642,s4691,s13,s188,s1512,s807,s7180,s879,s1032,s929,s3750,s6288,s1461,s295,s73,s1873,s5027,s7033,s799,s6878,s2992,s2250,s8173]) ).

cnf(s8209,plain,
    ( spl2_395
    | ~ spl2_63
    | spl2_349
    | ~ spl2_278
    | ~ spl2_116
    | spl2_346
    | spl2_247
    | ~ spl2_89
    | spl2_115 ),
    inference(rat,[],[s1026,s4125,s1289,s2984,s3365,s7575,s6640,s1609,s4801,s7574,s6655,s3782,s1086,s799,s8173]) ).

cnf(s8210,plain,
    ( spl2_268
    | spl2_67
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s86,s13,s2363,s6642,s994,s8196,s6265,s2028,s8209,s7162,s8208,s280,s73,s5039,s5027,s7033,s799,s6878,s2992,s2250,s8206,s6819,s2064,s3321,s5967,s3,s1511,s6081,s931,s4266,s3750,s929,s8205,s1032,s7180,s132,s948,s874,s1441,s3247,s187,s43,s8200,s1156,s8203,s8173]) ).

cnf(s8211,plain,
    ( ~ spl2_247
    | spl2_67
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s3970,s1108,s7569,s5816,s6791,s5619,s3321,s8204,s7151,s1975,s4097,s2064,s157,s2673,s2053,s6583,s187,s4012,s6868,s3247,s43,s8200,s1156,s8210,s8173,s8174]) ).

cnf(s8212,plain,
    ( spl2_278
    | spl2_8
    | spl2_247
    | ~ spl2_268
    | spl2_273
    | spl2_67
    | spl2_68
    | spl2_19 ),
    inference(rat,[],[s6208,s6863,s6642,s73,s13,s5726,s86,s1974,s4740,s5816,s1108,s1080,s6480,s3321,s799,s5649,s3543,s187,s43,s1156,s929,s8173]) ).

cnf(s8213,plain,
    ( ~ spl2_73
    | ~ spl2_278
    | spl2_247
    | ~ spl2_268
    | ~ spl2_89
    | spl2_68
    | spl2_115
    | ~ spl2_33 ),
    inference(rat,[],[s5334,s73,s4712,s3321,s5027,s6209,s6531,s7033,s5643,s799,s6878,s2992,s4019,s43,s929,s3336,s3276,s1625,s1342,s8173]) ).

cnf(s8214,plain,
    ( spl2_67
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s6531,s3321,s5643,s5334,s4823,s4002,s165,s1113,s73,s230,s6819,s5028,s5992,s337,s5890,s8186,s8213,s13,s1394,s1625,s8212,s3,s4266,s929,s8211,s1342,s8210,s807,s8203,s1156,s132,s1441,s3247,s187,s8200,s8173]) ).

cnf(s8215,plain,
    ( ~ spl2_73
    | spl2_198
    | ~ spl2_273
    | ~ spl2_248 ),
    inference(rat,[],[s1512,s3494]) ).

cnf(s8216,plain,
    ( ~ spl2_273
    | spl2_268
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s4821,s1154,s7573,s6658,s6480,s5027,s6447,s6125,s73,s3767,s221,s7826,s5598,s1461,s2802,s2064,s621,s5890,s7151,s8215,s23,s13,s1344,s6745,s2363,s194,s5850,s6916,s6222,s1057,s6143,s6881,s8202,s2988,s1957,s6786,s924,s3247,s43,s53,s8214,s6444,s931,s948,s874,s3321,s6531,s929,s8205,s7180,s1032,s187,s8200,s8173]) ).

cnf(s8217,plain,
    ( ~ spl2_494
    | ~ spl2_63
    | ~ spl2_116
    | ~ spl2_58 ),
    inference(rat,[],[s7753,s4125,s3118,s1461,s8173]) ).

cnf(s8218,plain,
    ( spl2_395
    | spl2_494
    | spl2_349
    | ~ spl2_278
    | spl2_346
    | spl2_115 ),
    inference(rat,[],[s6640,s4801,s7575,s7574,s2355,s6655,s1086,s799,s8173]) ).

cnf(s8219,plain,
    ( ~ spl2_21
    | ~ spl2_395
    | ~ spl2_57
    | spl2_349
    | spl2_73
    | spl2_273
    | spl2_247
    | ~ spl2_277
    | ~ spl2_24
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s5039,s2018,s6819,s4624,s6570,s8196,s5890,s6642,s132,s2064,s1511,s8206,s3,s4266,s1441,s187,s5758,s7043,s799,s7162,s8173]) ).

cnf(s8220,plain,
    ( spl2_268
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s2018,s4624,s5039,s8196,s94,s994,s229,s2363,s4321,s86,s1394,s13,s8219,s8218,s8217,s5758,s7043,s7033,s799,s6878,s2992,s7162,s2250,s3240,s8206,s2064,s3,s1511,s4266,s6563,s8216,s3321,s6531,s3750,s929,s8205,s1032,s7180,s1441,s3247,s187,s43,s8200,s53,s8214,s8173,s8174]) ).

cnf(s8221,plain,
    ( ~ spl2_73
    | ~ spl2_362
    | spl2_247
    | spl2_198
    | ~ spl2_273
    | spl2_511
    | ~ spl2_58 ),
    inference(rat,[],[s6764,s7033,s3321,s799,s8215,s3445]) ).

cnf(s8222,plain,
    ( ~ spl2_57
    | spl2_73
    | ~ spl2_21
    | ~ spl2_362
    | spl2_536
    | ~ spl2_268
    | spl2_74
    | ~ spl2_24
    | ~ spl2_33 ),
    inference(rat,[],[s1658,s2802,s1113,s621,s4002,s6881,s5334,s3321,s73,s6764,s5027]) ).

cnf(s8223,plain,
    ( ~ spl2_352
    | ~ spl2_349
    | ~ spl2_321
    | spl2_278
    | ~ spl2_273
    | spl2_19 ),
    inference(rat,[],[s6221,s1930,s2212,s8173]) ).

cnf(s8224,plain,
    ( ~ spl2_477
    | spl2_179
    | ~ spl2_362
    | ~ spl2_268
    | ~ spl2_33 ),
    inference(rat,[],[s4708,s2018,s7574,s5432,s2204]) ).

cnf(s8225,plain,
    ( spl2_389
    | spl2_477
    | ~ spl2_185
    | spl2_57
    | spl2_68 ),
    inference(rat,[],[s1722,s6117,s1086,s6408,s6707,s1289,s43]) ).

cnf(s8226,plain,
    ( ~ spl2_255
    | spl2_433
    | ~ spl2_400
    | ~ spl2_389
    | spl2_64
    | ~ spl2_116
    | ~ spl2_63
    | spl2_74
    | ~ spl2_67
    | ~ spl2_24 ),
    inference(rat,[],[s6718,s1572,s6127,s3221,s1744,s1120,s7573,s7444,s5625,s618,s903,s1461,s8173]) ).

cnf(s8227,plain,
    ( ~ spl2_273
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s3321,s5705,s6480,s5712,s3969,s6125,s7573,s8191,s6658,s2449,s8226,s1287,s6059,s3027,s5618,s6947,s7574,s35,s4199,s22,s2363,s1768,s7792,s6267,s2040,s6117,s1034,s1722,s1086,s5899,s2909,s1298,s7753,s1263,s8225,s8224,s1108,s3276,s2376,s5816,s3343,s6355,s5892,s5893,s6726,s5758,s73,s1685,s8223,s799,s7033,s8222,s1265,s1461,s2064,s7151,s7162,s8221,s13,s1052,s929,s885,s8202,s904,s1549,s2988,s1957,s6786,s924,s187,s3247,s43,s8200,s53,s8214,s2380,s1946,s3352,s874,s8220,s8173]) ).

cnf(s8228,plain,
    ( ~ spl2_389
    | ~ spl2_411
    | ~ spl2_419
    | ~ spl2_21
    | ~ spl2_23
    | spl2_19 ),
    inference(rat,[],[s7039,s2909,s1208,s1025,s4664]) ).

cnf(s8229,plain,
    ( spl2_389
    | spl2_477
    | ~ spl2_73
    | ~ spl2_118
    | spl2_116
    | ~ spl2_67 ),
    inference(rat,[],[s3302,s6716,s2198,s1289,s8173]) ).

cnf(s8230,plain,
    ( ~ spl2_247
    | spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s7203,s7307,s6270,s3096,s1142,s5618,s2545,s8228,s4664,s8229,s7812,s1223,s2787,s13,s1377,s1906,s8224,s1623,s4033,s6745,s2376,s7570,s5865,s8204,s696,s7151,s2825,s149,s1052,s2064,s157,s2673,s2053,s6583,s2921,s187,s8,s132,s4012,s6868,s3247,s43,s8200,s8214,s1342,s8220,s807,s8227,s8173,s8174]) ).

cnf(s8231,plain,
    ( ~ spl2_347
    | ~ spl2_362
    | ~ spl2_63
    | spl2_247
    | spl2_273
    | ~ spl2_268
    | spl2_74
    | ~ spl2_58
    | ~ spl2_24 ),
    inference(rat,[],[s6126,s2774,s1113,s2376,s4002,s5334,s3321,s5758,s6764,s7043,s7033]) ).

cnf(s8232,plain,
    ( spl2_179
    | ~ spl2_349
    | spl2_278
    | spl2_73
    | ~ spl2_116
    | spl2_273
    | ~ spl2_485
    | ~ spl2_268
    | spl2_74
    | spl2_68
    | ~ spl2_24
    | ~ spl2_33 ),
    inference(rat,[],[s4708,s2018,s7574,s1768,s5949,s6267,s6117,s1722,s1086,s5899,s1298,s5627,s7753,s3321,s8225,s6480,s1108,s5816,s5892,s1623,s6745,s7570,s5865,s6355,s5027,s6726,s5758,s73,s1685,s8224,s1750,s43,s1461,s7162,s1052,s8173]) ).

cnf(s8233,plain,
    ( spl2_278
    | spl2_73
    | ~ spl2_116
    | spl2_247
    | spl2_273
    | ~ spl2_485
    | ~ spl2_268
    | spl2_74
    | spl2_68
    | ~ spl2_24
    | spl2_19 ),
    inference(rat,[],[s13,s6642,s86,s6208,s6221,s2376,s8232,s799,s8231,s1052,s43,s929,s3,s4266,s1441,s187,s7162,s8173]) ).

cnf(s8234,plain,
    ( spl2_49
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s2992,s2250,s6878,s4497,s799,s6442,s2774,s694,s6126,s3336,s3343,s349,s3276,s1625,s8233,s3240,s2064,s1966,s8230,s8227,s2597,s1342,s8220,s53,s8214,s43,s8200,s3247,s8173,s8174]) ).

cnf(s8235,plain,
    ( ~ spl2_247
    | spl2_268
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s6387,s694,s2363,s2077,s1426,s1394,s13,s6642,s7038,s1052,s2673,s423,s6583,s2921,s187,s7180,s8173,s8174]) ).

cnf(s8237,plain,
    ( spl2_67
    | spl2_198
    | ~ spl2_23
    | spl2_282
    | ~ spl2_273
    | ~ spl2_21
    | spl2_247
    | spl2_268
    | ~ spl2_68
    | ~ spl2_49
    | spl2_19 ),
    inference(rat,[],[s1442,s8181,s7683,s1156,s2576]) ).

cnf(s8238,plain,
    ( spl2_278
    | spl2_268
    | ~ spl2_68
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s6457,s936,s349,s94,s5629,s73,s4102,s3748,s6808,s2920,s1973,s8237,s1872,s2576,s1957,s2811,s952,s6642,s13,s3514,s5865,s2363,s1911,s7038,s6222,s1052,s874,s3427,s8234,s6444,s8235,s187,s7180,s8173,s8174]) ).

cnf(s8239,plain,
    ( spl2_67
    | spl2_268
    | ~ spl2_68
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s3497,s6293,s2462,s6940,s6124,s4807,s6460,s6125,s3767,s2985,s2449,s8184,s6434,s4300,s6561,s6209,s2363,s3224,s6288,s8177,s157,s1436,s6102,s6565,s6582,s6819,s5967,s1156,s132,s8234,s1032,s187,s929,s931,s959,s6454,s1203,s807,s1511,s4266,s6786,s8202,s8238,s874,s8235,s8173]) ).

cnf(s8240,plain,
    ( ~ spl2_104
    | spl2_112
    | ~ spl2_111
    | ~ spl2_278 ),
    inference(rat,[],[s4691,s3336,s1394,s3276,s8173]) ).

cnf(s8241,plain,
    ( ~ spl2_24
    | spl2_268
    | ~ spl2_68
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s1121,s35,s8177,s8197,s2064,s187,s1511,s4266,s6786,s8202,s8238,s874,s8235,s53,s8239]) ).

cnf(s8242,plain,
    ( ~ spl2_39
    | spl2_24
    | spl2_141
    | spl2_73
    | spl2_349
    | ~ spl2_67
    | ~ spl2_277 ),
    inference(rat,[],[s1426,s3551,s13,s5890,s6570,s5598,s8173]) ).

cnf(s8243,plain,
    ( ~ spl2_21
    | spl2_39
    | spl2_24
    | spl2_73
    | ~ spl2_82
    | spl2_349
    | spl2_74
    | spl2_273
    | ~ spl2_278
    | ~ spl2_321
    | spl2_322
    | spl2_268
    | ~ spl2_68
    | ~ spl2_49 ),
    inference(rat,[],[s618,s440,s4322,s6293,s4850,s6940,s6124,s4807,s6460,s6125,s2985,s3767,s73,s6242,s159,s8184,s6570,s6447,s94,s155,s5890,s6647,s7180,s621,s6501,s3321,s6294,s6434,s807,s2363]) ).

cnf(s8244,plain,
    ( spl2_396
    | spl2_496
    | spl2_86
    | ~ spl2_116
    | spl2_363
    | ~ spl2_63
    | spl2_349
    | spl2_419
    | ~ spl2_67
    | ~ spl2_278
    | spl2_247
    | ~ spl2_277
    | spl2_115
    | ~ spl2_33 ),
    inference(rat,[],[s1034,s8218,s2040,s4125,s2041,s7753,s1289,s3365,s7575,s6640,s4801,s6117,s7574,s6548,s6715,s5432,s1142,s1640,s6786,s8202,s874,s8173]) ).

cnf(s8245,plain,
    ( ~ spl2_116
    | spl2_296
    | spl2_245
    | spl2_24
    | spl2_74
    | ~ spl2_67
    | spl2_282
    | ~ spl2_278
    | spl2_247
    | spl2_268
    | ~ spl2_68
    | ~ spl2_49
    | spl2_115
    | ~ spl2_33 ),
    inference(rat,[],[s5157,s7575,s1298,s8095,s4301,s4342,s2018,s4285,s8244,s8078,s6293,s4725,s441,s5153,s618,s3182,s5609,s6353,s4376,s701,s1109,s4851,s4850,s6940,s6124,s4807,s6460,s6125,s2985,s3767,s8184,s1445,s6444,s931,s2920,s279,s621,s7043,s7162,s799,s6501,s3321,s6294,s994,s2363,s6561,s2753,s5865,s6209,s5064,s1257,s5049,s13,s8243,s8242,s6457,s7180,s3263,s8240,s6434,s807,s6808,s1973,s5029,s112,s6786,s8202,s874,s929,s1032,s8173,s8174]) ).

cnf(s8246,plain,
    ( spl2_268
    | ~ spl2_68
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s7132,s2760,s1153,s3596,s2985,s6940,s6124,s4807,s6460,s6125,s6720,s8118,s1794,s8245,s713,s460,s2596,s1908,s5064,s3551,s885,s13,s8243,s2753,s5865,s994,s6209,s1378,s2363,s8242,s8241,s6501,s3321,s7043,s6294,s7162,s6457,s3263,s8240,s6434,s799,s6808,s5029,s53,s1973,s8239,s4266,s807,s6786,s8202,s959,s8238,s929,s8235,s1032,s7180,s187,s8,s1257,s874,s8234,s112,s8173,s8174]) ).

cnf(s8247,plain,
    ( ~ spl2_247
    | ~ spl2_288
    | ~ spl2_21
    | ~ spl2_268
    | spl2_115
    | ~ spl2_33 ),
    inference(rat,[],[s6208,s6642,s2673,s904,s6583,s2380,s8173,s8174]) ).

cnf(s8248,plain,
    ( ~ spl2_273
    | spl2_67
    | ~ spl2_68
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s73,s5028,s2384,s5890,s7368,s2576,s2811,s187,s132,s13,s5064,s4496,s8246,s8234,s1257,s874,s1156,s8173]) ).

cnf(s8249,plain,
    ( spl2_67
    | ~ spl2_68
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s5992,s1658,s5890,s6102,s159,s7394,s1461,s146,s157,s3571,s5194,s6208,s4222,s6642,s807,s8248,s8247,s7570,s3972,s2756,s13,s5064,s4496,s8234,s1257,s874,s8246,s187,s8173]) ).

cnf(s8250,plain,
    ( spl2_278
    | ~ spl2_68
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s803,s94,s1108,s5629,s6645,s2576,s73,s91,s2811,s4102,s4622,s6642,s6221,s6208,s929,s8247,s7570,s3972,s2756,s13,s5064,s4496,s8234,s1257,s874,s8246,s187,s53,s279,s6808,s1973,s3748,s2920,s8249,s8173,s8174]) ).

cnf(s8251,plain,
    ( ~ spl2_68
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s4691,s807,s6434,s6786,s5029,s8202,s8250,s6808,s1973,s8249,s7570,s3972,s5064,s4496,s2756,s8246,s112,s1257,s874,s8234,s8173,s8174]) ).

cnf(s8252,plain,
    ( spl2_278
    | spl2_268
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s73,s5027,s221,s7047,s5598,s6881,s5892,s2988,s7162,s8201,s8215,s931,s1957,s952,s6642,s4202,s13,s157,s3514,s6745,s5836,s5865,s2363,s1911,s7038,s6222,s1052,s874,s4012,s6868,s3427,s8234,s43,s6444,s7180,s3321,s6531,s929,s8235,s1032,s187,s8251,s8173]) ).

cnf(s8253,plain,
    ( spl2_295
    | spl2_662
    | ~ spl2_116
    | ~ spl2_82
    | ~ spl2_89
    | spl2_74
    | ~ spl2_347
    | spl2_273
    | ~ spl2_278
    | spl2_346
    | spl2_247 ),
    inference(rat,[],[s903,s618,s2449,s5006,s2462,s6124,s4807,s6125,s6800,s3497,s2445,s8173]) ).

cnf(s8254,plain,
    ( spl2_67
    | spl2_268
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s6353,s1192,s6559,s6760,s2455,s1740,s5157,s1298,s7753,s1289,s3365,s7575,s6640,s4801,s7574,s6122,s6715,s5432,s5542,s6265,s2028,s8209,s7162,s5571,s13,s1248,s903,s2449,s6940,s2462,s6124,s4807,s6125,s6720,s5435,s906,s5229,s1154,s8253,s994,s2363,s1461,s6288,s5836,s157,s1436,s3789,s280,s160,s2753,s6819,s6245,s5967,s1156,s132,s4012,s6868,s7180,s3750,s931,s959,s1511,s4266,s6786,s8202,s874,s1873,s2384,s73,s5027,s7033,s799,s6878,s2992,s2250,s3321,s6531,s929,s1032,s8252,s8235,s43,s8251,s187,s8234,s8173]) ).

cnf(s8255,plain,
    ( ~ spl2_73
    | ~ spl2_67
    | ~ spl2_111
    | ~ spl2_278
    | spl2_247
    | ~ spl2_49 ),
    inference(rat,[],[s5194,s8240,s157,s3263,s3240,s8173,s8174]) ).

cnf(s8256,plain,
    ( spl2_268
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s6721,s6117,s6441,s6408,s1289,s5432,s1034,s6265,s2028,s280,s6819,s6163,s1480,s2340,s8218,s2363,s8217,s5836,s1793,s98,s7043,s7162,s8255,s8254,s73,s5027,s7033,s799,s6878,s807,s2992,s6786,s2250,s8202,s8252,s3321,s6531,s3750,s929,s8235,s1032,s7180,s187,s132,s874,s4012,s6868,s8234,s43,s8251,s8173]) ).

cnf(s8257,plain,
    ( spl2_278
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s1658,s5892,s1872,s7162,s160,s4202,s8221,s73,s157,s1957,s5726,s5836,s6642,s1911,s6221,s6208,s1052,s4012,s6868,s43,s8251,s1946,s3352,s929,s8247,s7570,s3972,s2756,s13,s5064,s4496,s8234,s1257,s874,s8256,s187,s8173]) ).

cnf(s8258,plain,
    ( spl2_67
    | spl2_115
    | spl2_19 ),
    inference(rat,[],[s160,s73,s6819,s6423,s4740,s132,s43,s8251,s2363,s2469,s1203,s8257,s874,s4496,s8256,s8234,s8173]) ).

cnf(s8259,plain,
    ( spl2_115
    | spl2_19 ),
    inference(rat,[],[s6878,s2992,s799,s2250,s2774,s4497,s6126,s3343,s349,s53,s8258,s3276,s1625,s8257,s6442,s8247,s694,s7570,s13,s3972,s5064,s4496,s1342,s2756,s8256,s43,s8251,s8234,s1257,s874,s187,s8173]) ).

cnf(s8260,plain,
    ( spl2_278
    | spl2_268
    | ~ spl2_68
    | spl2_19 ),
    inference(rat,[],[s3032,s5289,s7246,s2731,s994,s7162,s5976,s3748,s2363,s7394,s787,s1461,s8177,s157,s7038,s2825,s1052,s187,s7180,s6338,s8259,s8173]) ).

cnf(s8261,plain,
    ( ~ spl2_297
    | ~ spl2_289
    | spl2_179
    | ~ spl2_89
    | ~ spl2_38
    | ~ spl2_86
    | spl2_116 ),
    inference(rat,[],[s4725,s1109,s3497,s5248,s7081]) ).

cnf(s8262,plain,
    ( spl2_396
    | ~ spl2_400
    | ~ spl2_38
    | spl2_419
    | ~ spl2_247
    | ~ spl2_110 ),
    inference(rat,[],[s7875,s7574,s1289,s2965,s3342,s1142]) ).

cnf(s8263,plain,
    ( ~ spl2_396
    | ~ spl2_286
    | spl2_383
    | spl2_295
    | spl2_74
    | spl2_179
    | ~ spl2_86 ),
    inference(rat,[],[s6122,s7131,s6383,s4624,s2018]) ).

cnf(s8264,plain,
    ( ~ spl2_73
    | spl2_253
    | spl2_74
    | spl2_179
    | ~ spl2_89
    | ~ spl2_26
    | spl2_419
    | ~ spl2_247
    | ~ spl2_120
    | spl2_116
    | ~ spl2_273
    | ~ spl2_110
    | ~ spl2_24
    | ~ spl2_68 ),
    inference(rat,[],[s5550,s5544,s8262,s1142,s8263,s2246,s2293,s6125,s1502,s3097,s1074,s2449,s8261,s3166,s2310,s3150,s188,s7388,s22,s155,s4102,s73,s4844,s2730,s1955,s423,s3748,s8173]) ).

cnf(s8265,plain,
    ( spl2_396
    | spl2_20
    | ~ spl2_38
    | spl2_23
    | spl2_419
    | ~ spl2_247
    | ~ spl2_110
    | ~ spl2_24 ),
    inference(rat,[],[s5551,s5544,s8262,s1142,s8173]) ).

cnf(s8266,plain,
    ( spl2_67
    | spl2_419
    | ~ spl2_247
    | spl2_116
    | ~ spl2_273
    | ~ spl2_110
    | ~ spl2_24
    | ~ spl2_68
    | spl2_19 ),
    inference(rat,[],[s7875,s1289,s7574,s6716,s1091,s5551,s5899,s3782,s1086,s4624,s2018,s7162,s8264,s713,s1871,s1113,s758,s6819,s1975,s1156,s187,s8,s157,s1169,s2092,s8259,s1378,s221,s223,s2787,s132,s2064,s8265,s155,s22,s4102,s73,s4844,s2730,s1955,s3748,s423,s8173]) ).

cnf(s8267,plain,
    ( ~ spl2_273
    | spl2_268
    | ~ spl2_24
    | ~ spl2_68
    | spl2_19 ),
    inference(rat,[],[s5362,s5545,s1086,s6122,s4725,s4624,s2580,s6383,s1109,s2018,s2499,s5248,s1113,s7162,s3582,s6819,s2096,s5451,s2449,s2773,s5619,s7984,s799,s7603,s53,s8266,s8265,s155,s22,s4102,s73,s4844,s3321,s1955,s2730,s3748,s423,s2977,s929,s3,s3503,s157,s3463,s132,s1441,s7180,s6338,s8259,s1032,s187,s8260,s8173,s8174]) ).

cnf(s8268,plain,
    ( ~ spl2_247
    | ~ spl2_106
    | ~ spl2_20
    | ~ spl2_111
    | ~ spl2_278
    | spl2_112
    | ~ spl2_68 ),
    inference(rat,[],[s3036,s4622,s155,s7394,s6294,s3321,s2730,s2977]) ).

cnf(s8269,plain,
    ( spl2_268
    | ~ spl2_24
    | ~ spl2_68
    | spl2_19 ),
    inference(rat,[],[s8177,s5426,s3503,s7187,s929,s8268,s7186,s6563,s807,s8267,s8260,s879,s1032,s7180,s187,s8259,s3885]) ).

cnf(s8270,plain,
    ( ~ spl2_39
    | spl2_288
    | ~ spl2_273
    | ~ spl2_247
    | spl2_278
    | ~ spl2_268
    | ~ spl2_68
    | spl2_19 ),
    inference(rat,[],[s5602,s13,s5509,s5890,s5869,s4776,s7569,s5028,s3900,s73,s1685,s799,s3534,s1156,s2920,s3100,s5813,s8259,s423,s157,s928,s924,s1750,s2376,s8173]) ).

cnf(s8271,plain,
    ( ~ spl2_89
    | spl2_141
    | spl2_74
    | ~ spl2_26
    | ~ spl2_16
    | spl2_352
    | ~ spl2_8
    | spl2_278
    | ~ spl2_268
    | spl2_19 ),
    inference(rat,[],[s73,s1685,s3900,s799,s7651,s3534,s8259]) ).

cnf(s8272,plain,
    ( ~ spl2_273
    | ~ spl2_247
    | spl2_278
    | ~ spl2_24
    | ~ spl2_68
    | spl2_19 ),
    inference(rat,[],[s2546,s6125,s7081,s8191,s2449,s7984,s2730,s7603,s2920,s1156,s8271,s3166,s2310,s2223,s6457,s1551,s1549,s1394,s885,s713,s1871,s35,s2787,s22,s1378,s2363,s8270,s1906,s1750,s4033,s2376,s7570,s696,s2825,s2064,s157,s928,s924,s187,s8,s132,s8269,s1052,s8173]) ).

cnf(s8273,plain,
    ( ~ spl2_39
    | ~ spl2_247
    | spl2_278
    | ~ spl2_24
    | ~ spl2_68
    | spl2_19 ),
    inference(rat,[],[s68,s1640,s3970,s6712,s7569,s3321,s3900,s2635,s73,s1108,s5069,s1685,s1750,s803,s799,s2376,s6819,s3534,s696,s1975,s1156,s2825,s2920,s157,s3100,s8177,s5813,s187,s132,s8259,s8269,s8272,s8173]) ).

cnf(s8274,plain,
    ( ~ spl2_273
    | spl2_120
    | ~ spl2_21
    | ~ spl2_247
    | ~ spl2_114
    | ~ spl2_278
    | ~ spl2_115
    | ~ spl2_68 ),
    inference(rat,[],[s7603,s3441,s1436,s1955,s157,s423,s3463,s8173,s8174]) ).

cnf(s8275,plain,
    ( ~ spl2_67
    | ~ spl2_112
    | ~ spl2_247
    | ~ spl2_68 ),
    inference(rat,[],[s6434,s6808,s7603,s1973,s8173,s8174]) ).

cnf(s8276,plain,
    ( spl2_82
    | spl2_26
    | spl2_105
    | ~ spl2_49
    | spl2_64
    | ~ spl2_68 ),
    inference(rat,[],[s68,s5892,s2576,s6582,s1955,s337,s8173]) ).

cnf(s8277,plain,
    ( ~ spl2_49
    | ~ spl2_247
    | ~ spl2_288
    | ~ spl2_75
    | spl2_39
    | ~ spl2_278
    | ~ spl2_115
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s7394,s7162,s157,s3364,s1436,s8276,s8275,s4691,s3032,s807,s8274,s2787,s13,s1933,s6454,s3271,s140,s694,s1169,s2092,s2730,s2977]) ).

cnf(s8278,plain,
    ( ~ spl2_67
    | spl2_116
    | ~ spl2_24
    | ~ spl2_288
    | ~ spl2_16
    | ~ spl2_115
    | spl2_77
    | ~ spl2_19 ),
    inference(rat,[],[s7641,s6515]) ).

cnf(s8279,plain,
    ( spl2_273
    | ~ spl2_24
    | spl2_64
    | spl2_27
    | ~ spl2_16
    | ~ spl2_75
    | ~ spl2_115
    | spl2_351
    | ~ spl2_268
    | spl2_77
    | ~ spl2_19 ),
    inference(rat,[],[s68,s7043,s4019,s799,s105,s5816,s6819,s1974,s1156,s8278,s6856,s1691,s885,s13,s3389,s3032,s7570,s3197,s4196,s8173]) ).

cnf(s8280,plain,
    ( ~ spl2_247
    | ~ spl2_278
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s105,s106,s6819,s73,s1974,s4844,s1156,s1955,s8278,s6856,s423,s3463,s8279,s696,s3247,s8277,s1169,s2092,s2730,s2977,s112,s1972,s5480,s2363,s140,s7731,s7570,s3197,s5024,s4196,s8173,s8174]) ).

cnf(s8281,plain,
    ( ~ spl2_278
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s4821,s6125,s3497,s4429,s6437,s2447,s6331,s6507,s2449,s8160,s3453,s1974,s4002,s1644,s1156,s5334,s5816,s5029,s73,s5289,s3441,s6108,s5629,s621,s7162,s3032,s5976,s7394,s3463,s1461,s157,s3446,s13,s1933,s3771,s3271,s3247,s3398,s6442,s3136,s8280,s694,s7186,s7570,s3197,s2363,s5024,s3571,s7731,s112,s4196,s1972,s5480,s8173,s8174]) ).

cnf(s8282,plain,
    ( ~ spl2_67
    | ~ spl2_247
    | ~ spl2_362
    | ~ spl2_115
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s6125,s2546,s6332,s5248,s7081,s5842,s3582,s2529,s865,s5451,s7570,s3,s7641,s22,s2449,s157,s3551,s7984,s7394,s2576,s52,s13,s7162,s6067,s3520,s2096,s6764,s5501,s6696,s2363,s3321,s1644,s799,s7862,s2730,s6808,s6515,s7603,s2920,s1973,s112,s1444,s8173,s8174]) ).

cnf(s8283,plain,
    ( spl2_116
    | spl2_39
    | ~ spl2_89
    | spl2_278
    | ~ spl2_115
    | spl2_351
    | ~ spl2_268
    | ~ spl2_19 ),
    inference(rat,[],[s6856,s4345,s1974,s5494,s5816,s885,s799,s13,s3534,s3,s5983,s157,s1444,s1052,s2363,s8173]) ).

cnf(s8284,plain,
    ( ~ spl2_116
    | ~ spl2_247
    | ~ spl2_115
    | spl2_276
    | ~ spl2_68 ),
    inference(rat,[],[s5289,s3032,s7162,s2730,s5976,s928,s7394,s787,s1461,s8173]) ).

cnf(s8285,plain,
    ( ~ spl2_247
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s3100,s3891,s5813,s8283,s8284,s1156,s8282,s4196,s1972,s5480,s1052,s8281]) ).

cnf(s8286,plain,
    ( ~ spl2_255
    | ~ spl2_347
    | spl2_74
    | spl2_23
    | spl2_179
    | ~ spl2_637
    | ~ spl2_76
    | spl2_419
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68 ),
    inference(rat,[],[s7762,s6125,s5563,s7130,s7573,s1502,s2927,s1074,s8173]) ).

cnf(s8287,plain,
    ( spl2_255
    | spl2_74
    | spl2_23
    | spl2_179
    | ~ spl2_38
    | ~ spl2_7
    | ~ spl2_608
    | ~ spl2_268 ),
    inference(rat,[],[s6125,s7762,s4431,s5248,s3582,s5451,s2449,s8173]) ).

cnf(s8288,plain,
    ( spl2_116
    | spl2_39
    | ~ spl2_67
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s1340,s6124,s1194,s5546,s7075,s3397,s4862,s5563,s5545,s7573,s1502,s2927,s1171,s1074,s8287,s1888,s6069,s2576,s73,s46,s4480,s3197,s2376,s7570,s7641,s20,s22,s3885,s4345,s5494,s1394,s885,s13,s3,s5983,s155,s3503,s157,s4196,s1444,s1052,s8281,s929,s3136,s8285,s2920,s6515,s112,s2363,s1378,s8173]) ).

cnf(s8289,plain,
    ( ~ spl2_474
    | ~ spl2_272
    | ~ spl2_265
    | ~ spl2_82
    | ~ spl2_115 ),
    inference(rat,[],[s7204,s4396,s4450,s6436]) ).

cnf(s8290,plain,
    ( spl2_39
    | ~ spl2_67
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s6057,s6122,s1289,s4360,s1026,s2132,s1298,s5581,s8289,s418,s4413,s6285,s4358,s5578,s618,s6435,s7117,s6124,s4821,s5007,s6125,s4525,s4429,s2253,s4991,s2447,s1142,s7952,s6331,s7969,s6442,s6440,s3423,s6507,s2449,s1911,s694,s8160,s7570,s3271,s4817,s6108,s5296,s3247,s5890,s3520,s2802,s5892,s13,s3453,s621,s7162,s885,s7394,s1691,s8288,s2363,s5480,s4327,s1052,s8281,s929,s8285,s2920,s279,s6808,s1973,s1644,s6515,s112,s8173,s8174]) ).

cnf(s8291,plain,
    ( ~ spl2_265
    | ~ spl2_349
    | ~ spl2_289
    | ~ spl2_637
    | spl2_179
    | ~ spl2_76
    | spl2_185
    | ~ spl2_268 ),
    inference(rat,[],[s4821,s1154,s7573,s5563,s7762]) ).

cnf(s8293,plain,
    ( ~ spl2_255
    | ~ spl2_289
    | ~ spl2_637
    | ~ spl2_39
    | ~ spl2_76
    | spl2_419
    | ~ spl2_68 ),
    inference(rat,[],[s1663,s1502,s5563,s1074,s7587]) ).

cnf(s8295,plain,
    ( ~ spl2_396
    | ~ spl2_39
    | spl2_419
    | ~ spl2_321
    | spl2_278
    | ~ spl2_268
    | ~ spl2_19 ),
    inference(rat,[],[s2738,s2307,s4494,s7574,s4708,s2018,s4867,s1936,s4728,s8174]) ).

cnf(s8296,plain,
    ( ~ spl2_67
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s2028,s5542,s1086,s6122,s2148,s5282,s3302,s5544,s1142,s8295,s7573,s5563,s4485,s7762,s6125,s4431,s2449,s8293,s3076,s5893,s7586,s94,s1888,s6060,s3,s4854,s73,s3885,s157,s4102,s6558,s4728,s8177,s8290,s1644,s3748,s6808,s6514,s6515,s279,s2920,s1973,s4310,s112,s1444,s1052,s8281,s929,s3136,s8285,s8173,s8174]) ).

cnf(s8297,plain,
    ( spl2_24
    | spl2_39
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s4821,s6125,s3497,s4429,s6437,s2447,s6331,s6507,s2449,s8160,s3453,s1750,s1644,s1685,s5816,s73,s6442,s3441,s5629,s1911,s694,s7186,s7570,s3271,s6108,s5296,s3247,s4327,s1052,s8285,s2363,s621,s7394,s1461,s5976,s787,s13,s885,s1691,s8283,s1156,s8296,s8281,s1972,s5480,s8173]) ).

cnf(s8298,plain,
    ( ~ spl2_286
    | spl2_64
    | spl2_74
    | spl2_322
    | spl2_179
    | spl2_76
    | ~ spl2_63
    | ~ spl2_116
    | ~ spl2_321
    | ~ spl2_268
    | spl2_181 ),
    inference(rat,[],[s903,s5625,s3767,s7573,s6125,s6293,s7762,s6331,s8173]) ).

cnf(s8299,plain,
    ( ~ spl2_261
    | spl2_269
    | ~ spl2_294
    | ~ spl2_295
    | spl2_428
    | spl2_73
    | ~ spl2_268 ),
    inference(rat,[],[s5546,s7557]) ).

cnf(s8300,plain,
    ( ~ spl2_265
    | spl2_39
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s2927,s8182,s3423,s6984,s6124,s8299,s7075,s7029,s5034,s618,s7271,s3395,s4196,s1052,s295,s23,s1120,s5640,s8298,s5758,s1872,s8198,s5643,s2376,s929,s73,s6863,s2338,s6696,s799,s5816,s2802,s621,s2096,s7162,s5976,s787,s3398,s8297,s3136,s8285,s2363,s5890,s13,s885,s1691,s7394,s1461,s8283,s1156,s8296,s8281,s1972,s5480,s8173]) ).

cnf(s8301,plain,
    ( spl2_39
    | ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s1502,s1074,s3767,s6125,s8300,s5640,s8298,s5758,s73,s6863,s2338,s1872,s6696,s8198,s5643,s799,s5816,s2376,s2802,s3398,s8297,s5890,s2096,s13,s621,s7162,s885,s5976,s7394,s1691,s787,s1461,s8283,s2363,s1972,s5480,s8281,s929,s3136,s8285,s1156,s8296,s8173]) ).

cnf(s8302,plain,
    ( spl2_73
    | spl2_74
    | spl2_64
    | ~ spl2_60
    | spl2_96
    | ~ spl2_76
    | ~ spl2_24
    | ~ spl2_39
    | ~ spl2_68 ),
    inference(rat,[],[s1955,s1426,s94,s5892,s5893,s7162,s8173]) ).

cnf(s8303,plain,
    ( ~ spl2_115
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s4431,s6125,s2449,s8291,s8293,s6480,s3073,s3321,s7586,s6791,s94,s3229,s7569,s1955,s3445,s4776,s2576,s8302,s1888,s6060,s4854,s5758,s73,s803,s4266,s1644,s4102,s5643,s3,s91,s3885,s3748,s3503,s157,s4622,s6558,s4728,s3891,s8177,s8301,s1156,s8296,s3136,s929,s8285,s1444,s1052,s8281,s4310,s1972,s5480,s8173,s8174]) ).

cnf(s8304,plain,
    ( ~ spl2_395
    | ~ spl2_295
    | ~ spl2_660
    | ~ spl2_433
    | spl2_74
    | spl2_185
    | ~ spl2_67 ),
    inference(rat,[],[s6057,s6122,s1289,s5542,s1034,s2028]) ).

cnf(s8305,plain,
    ( spl2_278
    | spl2_255
    | spl2_649
    | ~ spl2_116
    | spl2_74
    | ~ spl2_617
    | ~ spl2_321
    | spl2_185
    | ~ spl2_67
    | spl2_73
    | ~ spl2_76
    | ~ spl2_288
    | spl2_39
    | spl2_115
    | ~ spl2_268
    | spl2_181
    | ~ spl2_19 ),
    inference(rat,[],[s5273,s7574,s1289,s3517,s1026,s2132,s1298,s5954,s1086,s8304,s807,s3535,s799,s4821,s7117,s618,s4358,s6644,s6124,s5007,s6125,s4525,s4429,s2253,s2748,s4991,s2447,s6331,s1142,s7952,s6507,s7969,s1911,s1052,s3352,s2363,s3453,s1644,s5890,s13,s885,s1688,s874,s4196,s2449,s3423,s8173]) ).

cnf(s8306,plain,
    ( ~ spl2_116
    | ~ spl2_67
    | spl2_73
    | ~ spl2_76
    | spl2_419
    | spl2_24
    | spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s3535,s807,s799,s3463,s5029,s8305,s8160,s4817,s112,s5480,s3271,s3247,s3453,s1644,s279,s929,s6442,s8188,s694,s7570,s5296,s4327,s6110,s8303,s621,s6808,s1973,s8173,s8174]) ).

cnf(s8307,plain,
    ( spl2_255
    | ~ spl2_179
    | spl2_15
    | spl2_198
    | ~ spl2_273
    | ~ spl2_8
    | spl2_74
    | ~ spl2_617
    | ~ spl2_16
    | spl2_26 ),
    inference(rat,[],[s7271,s618,s6125,s5034,s4429,s2447,s6507,s2801,s2449]) ).

cnf(s8308,plain,
    ( ~ spl2_179
    | spl2_15
    | spl2_198
    | ~ spl2_23
    | ~ spl2_273
    | ~ spl2_8
    | spl2_20
    | spl2_74
    | ~ spl2_617
    | ~ spl2_82
    | spl2_419
    | ~ spl2_16
    | spl2_26
    | ~ spl2_68 ),
    inference(rat,[],[s2447,s5034,s2445,s6654,s618,s1502,s3596,s1074,s8307,s13]) ).

cnf(s8309,plain,
    ( ~ spl2_67
    | spl2_73
    | ~ spl2_76
    | spl2_419
    | spl2_24
    | spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s7952,s3423,s8182,s1685,s1750,s8308,s1911,s1052,s8202,s1957,s2811,s6786,s807,s4222,s5194,s157,s8306,s73,s5629,s94,s6110,s6442,s929,s6808,s6514,s8188,s1973,s112,s13,s885,s1688,s874,s8303,s4196,s2363,s694,s7570,s5296,s4327,s8173,s8174]) ).

cnf(s8310,plain,
    ( ~ spl2_67
    | spl2_73
    | spl2_419
    | spl2_24
    | spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s8309,s6515,s112,s8173]) ).

cnf(s8311,plain,
    ( ~ spl2_116
    | ~ spl2_76
    | ~ spl2_89
    | spl2_73
    | spl2_419
    | ~ spl2_288
    | spl2_24
    | spl2_39
    | spl2_115
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s4821,s6125,s3497,s4429,s6437,s3182,s5153,s6331,s4341,s5643,s6507,s2449,s6209,s8160,s557,s6442,s929,s621,s6102,s2050,s5976,s5972,s5480,s874,s4012,s6868,s2363,s3271,s3247,s694,s1974,s3453,s1644,s8173]) ).

cnf(s8312,plain,
    ( ~ spl2_76
    | spl2_73
    | spl2_419
    | spl2_24
    | spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s807,s904,s3535,s929,s799,s6209,s4823,s7612,s337,s1436,s157,s8311,s3453,s1644,s2380,s2787,s140,s7570,s5296,s4327,s6454,s3271,s3247,s5890,s13,s885,s1688,s874,s8303,s4196,s1156,s8310,s8173]) ).

cnf(s8313,plain,
    ( spl2_73
    | spl2_419
    | spl2_24
    | spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s1436,s157,s6565,s159,s6819,s8312,s8310,s2787,s140,s885,s1688,s874,s4196,s4496,s8303,s6454,s3271,s3247,s8173]) ).

cnf(s8314,plain,
    ( spl2_419
    | spl2_24
    | spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s4222,s807,s5194,s157,s2811,s2921,s7394,s2576,s8313,s885,s1688,s874,s8303,s4196,s7570,s5296,s4327,s8173]) ).

cnf(s8315,plain,
    ( spl2_24
    | spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s3540,s7948,s6440,s5643,s1974,s4823,s6582,s337,s1436,s1156,s157,s2920,s1461,s8314,s694,s6454,s7570,s3271,s5296,s3247,s4327,s2363,s2787,s140,s885,s1688,s874,s8303,s4196,s8173]) ).

cnf(s8316,plain,
    ( ~ spl2_67
    | ~ spl2_24
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s73,s2499,s2393,s621,s6110,s2802,s6808,s6514,s6515,s1973,s112,s2380,s13,s885,s1688,s874,s8303,s4196,s8173,s8174]) ).

cnf(s8317,plain,
    ( ~ spl2_76
    | spl2_73
    | ~ spl2_89
    | ~ spl2_24
    | ~ spl2_16
    | ~ spl2_21
    | spl2_117
    | ~ spl2_68 ),
    inference(rat,[],[s5976,s6856,s621,s1974,s2802]) ).

cnf(s8318,plain,
    ( ~ spl2_116
    | spl2_73
    | spl2_419
    | spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s8299,s6124,s8027,s6984,s1194,s6379,s5034,s6285,s618,s5248,s1120,s7271,s7762,s6125,s3767,s3423,s2449,s8182,s2811,s8198,s1052,s2376,s5024,s6209,s105,s929,s108,s6102,s2050,s5976,s5972,s295,s22,s23,s7162,s6819,s140,s799,s5643,s5816,s8317,s2363,s13,s885,s1688,s874,s4196,s4012,s6868,s8303,s1972,s5480,s1156,s8316,s8315,s8173]) ).

cnf(s8319,plain,
    ( ~ spl2_265
    | spl2_198
    | ~ spl2_273
    | spl2_179
    | spl2_20
    | ~ spl2_21
    | ~ spl2_268 ),
    inference(rat,[],[s6654,s7271,s7762]) ).

cnf(s8320,plain,
    ( spl2_73
    | spl2_419
    | spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s5520,s1194,s7134,s8027,s1502,s1150,s1074,s3767,s6125,s8319,s929,s1957,s904,s1640,s6712,s6696,s3321,s5024,s5334,s105,s4002,s1113,s106,s4868,s1891,s7552,s1436,s155,s157,s8318,s5643,s799,s5816,s6819,s8317,s7162,s1972,s5480,s2380,s4012,s6868,s13,s2363,s2787,s140,s885,s1688,s874,s8303,s4196,s1156,s8316,s8315,s8173]) ).

cnf(s8321,plain,
    ( spl2_419
    | spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s1436,s157,s1955,s7394,s2576,s8320,s2787,s140,s885,s1688,s874,s8303,s4196,s8316,s8315,s8173]) ).

cnf(s8322,plain,
    ( spl2_39
    | ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s7944,s5634,s1194,s3596,s1462,s3767,s6125,s8319,s929,s1957,s904,s1640,s6712,s3321,s5024,s5334,s105,s4002,s1113,s106,s6708,s5300,s7162,s5643,s799,s2576,s5816,s6819,s1955,s1891,s1974,s1436,s6856,s155,s157,s1461,s8321,s1156,s8316,s8315,s2787,s140,s2363,s1972,s5480,s2380,s13,s885,s1688,s874,s8303,s4196,s8173]) ).

cnf(s8323,plain,
    ( ~ spl2_268
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s1429,s2115,s1955,s2811,s2921,s2576,s7162,s5892,s5758,s1156,s4102,s91,s8316,s3748,s157,s4622,s6558,s3891,s8177,s8322,s885,s1688,s874,s8303,s4196,s4310,s8173,s8174]) ).

cnf(s8324,plain,
    ( ~ spl2_67
    | spl2_74
    | ~ spl2_116
    | spl2_419
    | ~ spl2_21
    | spl2_73
    | ~ spl2_16
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s7570,s3197,s1911,s46,s1052,s9,s5029,s877,s6202,s94,s6570,s8059,s6514,s6515,s112,s7180,s8323,s7162,s5890,s621,s5976,s787,s8173]) ).

cnf(s8325,plain,
    ( ~ spl2_76
    | ~ spl2_89
    | ~ spl2_116
    | spl2_419
    | spl2_26
    | ~ spl2_63
    | ~ spl2_16
    | ~ spl2_277
    | ~ spl2_68 ),
    inference(rat,[],[s2092,s2730,s2053,s6202,s1169,s1974,s5892,s787,s8173]) ).

cnf(s8326,plain,
    ( ~ spl2_396
    | ~ spl2_20
    | spl2_48
    | spl2_649
    | ~ spl2_49
    | ~ spl2_19 ),
    inference(rat,[],[s1287,s4991,s4846]) ).

cnf(s8327,plain,
    ( ~ spl2_248
    | spl2_396
    | ~ spl2_60
    | spl2_594
    | spl2_61
    | ~ spl2_16
    | ~ spl2_277
    | ~ spl2_68 ),
    inference(rat,[],[s8167,s994,s6480,s2731,s6447]) ).

cnf(s8328,plain,
    ( ~ spl2_116
    | spl2_419
    | spl2_24
    | spl2_73
    | spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s6642,s3463,s6256,s6712,s3321,s8327,s8326,s5629,s6779,s73,s4324,s159,s6242,s6819,s8325,s1156,s8324,s6108,s4817,s5976,s787,s7180,s8323,s2363,s140,s7162,s5890,s13,s6804,s4770,s3271,s3247,s3748,s8173,s8174]) ).

cnf(s8329,plain,
    ( ~ spl2_67
    | ~ spl2_349
    | spl2_276
    | ~ spl2_22
    | spl2_73
    | ~ spl2_16
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s1911,s7570,s1052,s6202,s3197,s5029,s7603,s46,s112,s7180,s8323,s8173]) ).

cnf(s8330,plain,
    ( spl2_116
    | spl2_24
    | spl2_73
    | spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s423,s6202,s1955,s1974,s1436,s1156,s8329,s6570,s1658,s6242,s4324,s1872,s924,s4868,s6647,s9,s7552,s155,s157,s7180,s8323,s2363,s2787,s140,s5890,s13,s6804,s4770,s3271,s3247,s8173]) ).

cnf(s8331,plain,
    ( spl2_24
    | spl2_73
    | ~ spl2_19
    | spl2_39
    | ~ spl2_68 ),
    inference(rat,[],[s8328,s1461,s8330,s8173]) ).

cnf(s8332,plain,
    ( spl2_295
    | ~ spl2_265
    | ~ spl2_297
    | spl2_64
    | spl2_74
    | spl2_115
    | spl2_247
    | ~ spl2_89
    | ~ spl2_63 ),
    inference(rat,[],[s6284,s6124,s4358,s2462,s5625,s3497,s7573]) ).

cnf(s8333,plain,
    ( ~ spl2_265
    | ~ spl2_297
    | spl2_64
    | spl2_185
    | ~ spl2_349
    | spl2_74
    | spl2_115
    | spl2_247
    | ~ spl2_89
    | ~ spl2_63 ),
    inference(rat,[],[s1154,s4821,s8332]) ).

cnf(s8334,plain,
    ( spl2_255
    | spl2_64
    | spl2_185
    | ~ spl2_111
    | spl2_278
    | ~ spl2_349
    | spl2_74
    | spl2_115
    | spl2_247
    | ~ spl2_89
    | ~ spl2_116
    | spl2_112
    | ~ spl2_63 ),
    inference(rat,[],[s1194,s4378,s6792,s6650,s6125,s8333,s3423,s2449,s929,s8173,s8174]) ).

cnf(s8335,plain,
    ( ~ spl2_111
    | spl2_288
    | spl2_278
    | ~ spl2_349
    | spl2_115
    | spl2_247
    | ~ spl2_89
    | ~ spl2_116
    | spl2_112
    | ~ spl2_24
    | spl2_73
    | ~ spl2_68 ),
    inference(rat,[],[s1663,s1502,s5625,s1074,s903,s8334,s5758,s6863,s1080,s6480,s3321,s6294,s7162,s1461,s6110,s5976,s787,s8173]) ).

cnf(s8336,plain,
    ( spl2_295
    | spl2_383
    | ~ spl2_294
    | spl2_597
    | spl2_67
    | spl2_26
    | ~ spl2_82
    | ~ spl2_19 ),
    inference(rat,[],[s7075,s1194,s5034,s6980,s2445,s7573]) ).

cnf(s8337,plain,
    ( ~ spl2_265
    | spl2_185
    | ~ spl2_273
    | ~ spl2_349
    | spl2_67
    | spl2_26
    | ~ spl2_82
    | spl2_198
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s1154,s4821,s8336,s2760,s618,s3395,s7271,s924,s8173]) ).

cnf(s8338,plain,
    ( spl2_255
    | ~ spl2_286
    | ~ spl2_266
    | spl2_278
    | ~ spl2_321
    | spl2_39
    | ~ spl2_19 ),
    inference(rat,[],[s7950,s1194,s6437,s6792,s3423,s2449,s2546,s1052]) ).

cnf(s8339,plain,
    ( ~ spl2_86
    | ~ spl2_273
    | spl2_288
    | spl2_278
    | ~ spl2_349
    | spl2_74
    | spl2_363
    | ~ spl2_321
    | spl2_76
    | ~ spl2_116
    | ~ spl2_63
    | spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s7950,s1194,s5034,s6980,s618,s2445,s7573,s903,s6293,s8338,s6331,s6720,s2293,s6125,s8337,s6863,s1078,s280,s5480,s7180,s8323,s295,s5976,s787,s885,s1691,s6199,s112,s6819,s140,s8173]) ).

cnf(s8340,plain,
    ( ~ spl2_349
    | spl2_247
    | ~ spl2_116
    | spl2_73
    | spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s5625,s7573,s903,s6293,s8338,s6331,s6720,s6125,s8337,s6480,s3321,s6728,s5758,s8339,s807,s8335,s1911,s1052,s2992,s6878,s5480,s7162,s879,s295,s108,s23,s140,s5972,s1156,s6199,s2802,s621,s13,s885,s1691,s112,s994,s6202,s2363,s7180,s6110,s7187,s929,s8323,s22,s8331,s5976,s787,s8173]) ).

cnf(s8341,plain,
    ( spl2_273
    | spl2_185
    | spl2_349
    | spl2_115
    | spl2_247
    | spl2_67
    | spl2_76
    | ~ spl2_116
    | spl2_112
    | ~ spl2_63
    | ~ spl2_16
    | ~ spl2_68 ),
    inference(rat,[],[s6122,s2140,s5542,s6265,s6293,s2028,s1154,s2985,s8209,s8253,s8184,s1052,s7046,s1640,s807,s1156,s6288,s6110,s5976,s787,s799,s8173]) ).

cnf(s8342,plain,
    ( ~ spl2_396
    | spl2_278
    | spl2_179
    | ~ spl2_86
    | ~ spl2_347
    | spl2_75
    | spl2_67
    | spl2_196
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s8026,s4624,s1208,s2018,s4867,s2748]) ).

cnf(s8344,plain,
    ( spl2_247
    | ~ spl2_116
    | spl2_73
    | spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s1086,s6796,s1482,s1208,s2960,s7085,s6117,s5581,s6267,s4125,s1298,s1479,s1296,s1335,s7574,s6715,s1768,s8342,s6786,s3463,s924,s8341,s1113,s280,s73,s6447,s799,s8340,s874,s7187,s994,s929,s7180,s2363,s7162,s22,s879,s8323,s3601,s5890,s6199,s112,s105,s6819,s2802,s621,s5976,s13,s108,s23,s885,s1691,s8331,s140,s5972,s787,s8173,s8174]) ).

cnf(s8345,plain,
    ( ~ spl2_116
    | spl2_73
    | spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s3032,s5289,s7246,s2730,s2053,s8344,s5976,s787,s1461,s7162,s8173]) ).

cnf(s8346,plain,
    ( ~ spl2_67
    | ~ spl2_273
    | ~ spl2_22
    | ~ spl2_15
    | ~ spl2_24
    | spl2_73
    | ~ spl2_16
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s8202,s1052,s6786,s874,s1911,s2773,s7570,s799,s3197,s8329,s46,s6515,s112,s7180,s8323,s924,s8173]) ).

cnf(s8347,plain,
    ( spl2_278
    | spl2_312
    | ~ spl2_500
    | ~ spl2_86
    | ~ spl2_15 ),
    inference(rat,[],[s6863,s3321,s1911,s6791,s1052]) ).

cnf(s8348,plain,
    ( spl2_419
    | ~ spl2_115
    | spl2_179
    | spl2_75
    | spl2_67
    | spl2_74
    | ~ spl2_86
    | spl2_20
    | spl2_116
    | ~ spl2_38
    | ~ spl2_24
    | ~ spl2_63
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s7875,s1289,s7574,s6716,s3219,s5551,s5990,s5899,s3782,s1086,s4624,s1208,s1169,s2018,s4867,s2092,s8265,s2730,s1156,s6338,s423,s929,s7187,s6563,s7180,s8323,s8173]) ).

cnf(s8349,plain,
    ( ~ spl2_115
    | spl2_73
    | spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s1080,s3321,s799,s8347,s6791,s3534,s2977,s8348,s7651,s2787,s1436,s1955,s423,s929,s7187,s7162,s22,s157,s1872,s105,s106,s1113,s6819,s140,s221,s6745,s6245,s1974,s1156,s8346,s6563,s7180,s8323,s20,s6856,s2363,s73,s5893,s155,s8345,s8331,s8173]) ).

cnf(s8350,plain,
    ( spl2_73
    | spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s1296,s1335,s7574,s6649,s6715,s1142,s8342,s799,s314,s4823,s337,s165,s1436,s194,s2787,s13,s994,s1057,s885,s423,s8202,s1688,s2811,s6786,s874,s8349,s1113,s105,s6819,s1974,s1156,s8346,s106,s924,s73,s6563,s5893,s20,s6856,s155,s157,s8345,s8331,s7162,s7180,s8323,s2363,s140,s8173]) ).

cnf(s8351,plain,
    ( spl2_24
    | ~ spl2_67
    | spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s694,s3441,s6748,s5029,s1052,s1444,s3332,s2811,s6647,s3,s13,s5505,s3271,s3551,s4345,s3247,s112,s7180,s8323,s1955,s2576,s157,s155,s3669,s4019,s8350,s8173]) ).

cnf(s8352,plain,
    ( ~ spl2_67
    | spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s7603,s929,s799,s7187,s2773,s2811,s6563,s22,s8351,s6515,s112,s7180,s8323,s2576,s155,s3669,s4019,s8350,s8173]) ).

cnf(s8353,plain,
    ( spl2_39
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s1898,s3049,s8264,s1113,s6748,s2977,s73,s6791,s4844,s3321,s2731,s3661,s929,s720,s7187,s6338,s758,s6819,s2811,s1974,s6563,s6856,s22,s6457,s6855,s3551,s1394,s2787,s7569,s1436,s1156,s8352,s155,s157,s1955,s4776,s3669,s4019,s2576,s8350,s140,s2363,s7180,s8323,s8174,s8173]) ).

cnf(s8354,plain,
    ( ~ spl2_295
    | ~ spl2_265
    | ~ spl2_349
    | spl2_185 ),
    inference(rat,[],[s1154,s4821]) ).

cnf(s8355,plain,
    ( ~ spl2_396
    | ~ spl2_67
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s2738,s2307,s4279,s6122,s6383,s2018,s4867,s1936,s4728,s7950,s4862,s5545,s5563,s7573,s8354,s6125,s4431,s2449,s8293,s3136,s7862,s279,s3076,s7586,s3,s1444,s1052,s5029,s799,s2773,s2811,s6563,s7180,s8323,s2576,s157,s8177,s94,s6808,s1973,s8302,s6514,s112,s5758,s1888,s6060,s4854,s1644,s73,s4102,s3748,s3885,s6558,s4310,s91,s4622,s3891,s8353,s8174,s8173]) ).

cnf(s8356,plain,
    ( ~ spl2_67
    | ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s4822,s2028,s7574,s1086,s2965,s2148,s3302,s5544,s1142,s8355,s799,s2773,s6338,s2811,s2576,s6563,s8302,s94,s6808,s6514,s279,s1973,s112,s7180,s8323,s73,s5758,s6558,s4310,s1888,s6060,s4854,s4102,s3748,s1644,s91,s4622,s3891,s8353,s8173,s8174]) ).

cnf(s8357,plain,
    ( spl2_73
    | ~ spl2_89
    | ~ spl2_24
    | spl2_419
    | ~ spl2_39
    | spl2_268
    | ~ spl2_68 ),
    inference(rat,[],[s8354,s3497,s6125,s7081,s4431,s2449,s8293,s3166,s2310,s5509,s6480,s5602,s799,s4844,s7635,s695,s3136,s7583,s2773,s6338,s2811,s7630,s1511,s714,s7908,s621,s741,s1955,s6457,s1426,s1394,s5892,s8302,s5893,s7162,s112,s7180,s8177,s3885,s73,s5758,s1888,s6060,s4854,s4102,s3748,s1644,s91,s4622,s8173]) ).

cnf(s8358,plain,
    ( ~ spl2_115
    | ~ spl2_120
    | ~ spl2_89
    | ~ spl2_24
    | spl2_419
    | ~ spl2_39
    | spl2_268
    | ~ spl2_68 ),
    inference(rat,[],[s8354,s3497,s6125,s7081,s4431,s2449,s8293,s3166,s2310,s710,s3150,s3064,s3494,s6480,s8215,s2115,s799,s4844,s3136,s7583,s2773,s6338,s7180,s3885,s73,s1888,s6060,s4854,s4102,s3748,s1644,s2286,s91,s4622,s1429,s1955,s2576,s8357,s157,s8177,s8173]) ).

cnf(s8359,plain,
    ( ~ spl2_68
    | ~ spl2_19 ),
    inference(rat,[],[s4266,s2921,s2811,s8358,s1511,s1436,s1955,s2576,s8357,s1156,s8356,s157,s6558,s3891,s8177,s8353,s8323,s4310,s8173,s8174]) ).

cnf(s8360,plain,
    ( spl2_295
    | ~ spl2_179
    | ~ spl2_525
    | ~ spl2_82
    | ~ spl2_76
    | ~ spl2_116
    | spl2_26
    | spl2_61 ),
    inference(rat,[],[s903,s618,s7122,s5034,s2447,s6568,s2445,s8173]) ).

cnf(s8361,plain,
    ( ~ spl2_268
    | spl2_74
    | ~ spl2_82
    | ~ spl2_349
    | ~ spl2_76
    | spl2_649
    | ~ spl2_116
    | ~ spl2_115
    | spl2_73
    | spl2_26
    | spl2_61
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s4429,s2449,s3182,s6125,s1153,s4937,s8354,s1154,s3221,s8360,s1750,s1685,s46,s73,s6442,s9,s5629,s694,s6126,s7186,s7570,s803,s5496,s43,s8359,s13,s557,s806,s1108,s6480,s2092,s1169,s5892,s7162]) ).

cnf(s8362,plain,
    ( ~ spl2_277
    | spl2_247
    | spl2_312
    | spl2_185
    | spl2_276
    | ~ spl2_248
    | spl2_649
    | spl2_273
    | ~ spl2_115
    | ~ spl2_21
    | ~ spl2_16
    | ~ spl2_19 ),
    inference(rat,[],[s1278,s1208,s4991,s4867,s8167,s73,s3197,s6863,s7186,s695,s6202,s6647,s2340,s8359,s6642]) ).

cnf(s8363,plain,
    ( ~ spl2_349
    | ~ spl2_76
    | ~ spl2_116
    | spl2_273
    | ~ spl2_115
    | spl2_73
    | spl2_24
    | ~ spl2_16
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s8361,s6108,s5630,s4257,s2756,s7180,s8362,s806,s1108,s1080,s6480,s877,s2340,s8359,s13,s4817,s2092,s1169,s5892,s7162,s6804,s4770,s3271,s3247,s8173]) ).

cnf(s8364,plain,
    ( ~ spl2_76
    | ~ spl2_116
    | spl2_273
    | ~ spl2_115
    | spl2_73
    | spl2_24
    | ~ spl2_16
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5496,s7570,s7180,s3535,s6163,s799,s8363,s3453,s1644,s2340,s8359,s807,s4817]) ).

cnf(s8365,plain,
    ( ~ spl2_268
    | ~ spl2_349
    | spl2_157
    | spl2_76
    | spl2_649
    | ~ spl2_601
    | ~ spl2_115
    | spl2_73
    | ~ spl2_21
    | ~ spl2_19 ),
    inference(rat,[],[s229,s5289,s73,s6480,s5629,s1108,s7186,s5816,s5496,s7162]) ).

cnf(s8366,plain,
    ( ~ spl2_349
    | spl2_76
    | spl2_649
    | spl2_273
    | ~ spl2_115
    | spl2_73
    | ~ spl2_21
    | ~ spl2_16
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s806,s8362,s1108,s1080,s6480,s3321,s6256,s4480,s3197,s7186,s6647,s7180,s8365,s877,s3032,s6642,s4321,s3276,s3343,s8173]) ).

cnf(s8367,plain,
    ( ~ spl2_116
    | spl2_273
    | ~ spl2_115
    | spl2_73
    | spl2_24
    | ~ spl2_16
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s2756,s7973,s4257,s2092,s1893,s5630,s1169,s621,s7043,s1604,s799,s8366,s8364,s4817,s2340,s8359,s13,s6804,s4770,s3271,s3247,s7162,s807,s8173]) ).

cnf(s8368,plain,
    ( spl2_116
    | spl2_73
    | spl2_26
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s105,s6819,s106,s46,s138,s4868,s5892,s9,s5629,s7552,s4202,s155,s157,s8359,s13,s7162]) ).

cnf(s8369,plain,
    ( ~ spl2_76
    | ~ spl2_362
    | spl2_536
    | spl2_74
    | spl2_247
    | spl2_276
    | ~ spl2_115
    | spl2_649
    | spl2_73
    | spl2_26
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1278,s1208,s4991,s4867,s8167,s73,s3197,s6863,s7570,s1911,s6202,s7180,s8361,s1080,s6480,s799,s1601,s629,s6881,s3321,s6764,s6755,s43,s2340,s8359,s8368,s929,s994,s2363]) ).

cnf(s8370,plain,
    ( ~ spl2_115
    | spl2_73
    | spl2_24
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1278,s1208,s4991,s4867,s8167,s6480,s3321,s6256,s6447,s7180,s3197,s5496,s7186,s5629,s6077,s73,s4324,s6242,s1658,s8369,s994,s1052,s2988,s1872,s7246,s3463,s924,s8367,s2340,s2363,s8359,s13,s1461,s4817,s8368,s6804,s4770,s3271,s3247,s8173,s8174]) ).

cnf(s8371,plain,
    ( ~ spl2_268
    | ~ spl2_349
    | spl2_273
    | ~ spl2_76
    | spl2_73
    | spl2_24
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1154,s1153,s8360,s8305,s1750,s2992,s1685,s106,s73,s5629,s6126,s94,s6108,s803,s5630,s1108,s4257,s2440,s6480,s5293,s6442,s6418,s694,s7570,s5496,s2756,s43,s2340,s2363,s8359,s13,s7162,s4817,s929,s2053,s787,s8368,s6804,s4770,s3271,s3247,s6878,s8370,s8173]) ).

cnf(s8372,plain,
    ( ~ spl2_96
    | ~ spl2_20
    | ~ spl2_277
    | ~ spl2_349
    | ~ spl2_76
    | spl2_363
    | spl2_494
    | spl2_649
    | spl2_24
    | spl2_61
    | ~ spl2_19 ),
    inference(rat,[],[s5543,s1102,s5567,s1287,s2845,s4991,s8326,s8167,s6480,s3321,s6256,s73,s4324,s6242,s3247,s8173]) ).

cnf(s8373,plain,
    ( ~ spl2_82
    | spl2_96
    | ~ spl2_20
    | spl2_24 ),
    inference(rat,[],[s94,s6108]) ).

cnf(s8374,plain,
    ( ~ spl2_86
    | ~ spl2_105
    | ~ spl2_15
    | ~ spl2_350
    | spl2_115
    | ~ spl2_19 ),
    inference(rat,[],[s1057,s194,s2992,s165,s106,s8173]) ).

cnf(s8375,plain,
    ( ~ spl2_349
    | spl2_273
    | ~ spl2_76
    | spl2_73
    | spl2_24
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5567,s1730,s4991,s4285,s8167,s6480,s3321,s6256,s73,s8374,s5630,s8373,s8372,s6202,s6647,s7180,s8371,s6878,s2340,s13,s4817,s8217,s43,s8359,s7162,s994,s2053,s8370,s787,s8368,s6804,s4770,s3271,s3247,s2363,s8173]) ).

cnf(s8376,plain,
    ( spl2_273
    | ~ spl2_76
    | spl2_73
    | spl2_24
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5496,s7570,s7180,s3535,s6163,s799,s8375,s807,s2340,s2363,s8359,s4817,s8368,s6804,s4770,s3271,s3247,s3453,s1644,s8173]) ).

cnf(s8377,plain,
    ( ~ spl2_268
    | ~ spl2_349
    | ~ spl2_76
    | spl2_73
    | spl2_24
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1153,s6331,s8360,s6654,s1750,s903,s1685,s8305,s73,s6442,s5629,s694,s6126,s8373,s7570,s803,s2440,s5496,s2340,s2363,s13,s4817,s929,s2053,s8370,s787,s1872,s6881,s2988,s1108,s6480,s3321,s6764,s1052,s3463,s8376,s8368,s6804,s4770,s3271,s3247,s6755,s43,s8359,s8173,s8174]) ).

cnf(s8378,plain,
    ( ~ spl2_349
    | ~ spl2_76
    | spl2_73
    | spl2_24
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s94,s8372,s5629,s73,s6863,s1911,s6202,s7180,s8377,s1080,s2340,s13,s4817,s8217,s7162,s994,s2053,s8370,s787,s2363,s1872,s6881,s3321,s6764,s1052,s3463,s8368,s6804,s4770,s3271,s3247,s6755,s43,s8359,s2988,s8376,s8173,s8174]) ).

cnf(s8379,plain,
    ( ~ spl2_76
    | spl2_73
    | spl2_24
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s73,s160,s6077,s6126,s1911,s2774,s7570,s4496,s5496,s7180,s6163,s799,s8378,s1052,s1872,s3463,s8376,s43,s2340,s2363,s8359,s4817,s2053,s8370,s787,s8368,s6804,s4770,s3271,s3247,s8173,s8174]) ).

cnf(s8380,plain,
    ( ~ spl2_268
    | ~ spl2_349
    | spl2_104
    | spl2_76
    | spl2_115
    | spl2_649
    | ~ spl2_21
    | ~ spl2_16
    | ~ spl2_19 ),
    inference(rat,[],[s6819,s280,s138,s73,s6077,s1911,s1052,s1625,s1108,s7570,s1342,s5816,s5496,s8359,s8173]) ).

cnf(s8381,plain,
    ( ~ spl2_20
    | ~ spl2_15
    | ~ spl2_277
    | ~ spl2_349
    | spl2_104
    | spl2_76
    | spl2_363
    | spl2_649
    | spl2_24
    | spl2_39
    | ~ spl2_19 ),
    inference(rat,[],[s3027,s6059,s1208,s1287,s1278,s4991,s8167,s6480,s3321,s6256,s73,s4324,s6242,s6819,s120,s152,s2340,s2363,s8359,s8173]) ).

cnf(s8382,plain,
    ( spl2_20
    | spl2_76
    | spl2_73
    | ~ spl2_21
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s105,s6819,s106,s46,s138,s73,s9,s5629]) ).

cnf(s8383,plain,
    ( ~ spl2_349
    | ~ spl2_20
    | spl2_104
    | spl2_76
    | spl2_363
    | spl2_115
    | spl2_649
    | spl2_24
    | spl2_39
    | ~ spl2_19 ),
    inference(rat,[],[s430,s8381,s8380,s13,s6804,s4770,s3271,s3247,s6077,s73,s4324,s6242,s6819,s120,s152,s8359,s2363,s8173]) ).

cnf(s8384,plain,
    ( spl2_73
    | spl2_24
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1052,s1911,s1625,s7570,s1342,s5496,s7052,s799,s8383,s6077,s73,s4324,s6242,s6819,s120,s152,s8382,s3276,s3343,s8379,s994,s2053,s8370,s4817,s787,s8368,s2340,s2363,s8359,s13,s6804,s4770,s3271,s3247,s8173]) ).

cnf(s8385,plain,
    ( ~ spl2_349
    | spl2_198
    | ~ spl2_78
    | ~ spl2_6
    | ~ spl2_57
    | spl2_20
    | spl2_77
    | ~ spl2_73
    | ~ spl2_21
    | ~ spl2_49
    | ~ spl2_67 ),
    inference(rat,[],[s430,s2756,s6647,s4257,s8215,s3321,s4823,s6764,s1444,s1052,s5029]) ).

cnf(s8386,plain,
    ( ~ spl2_433
    | spl2_419
    | ~ spl2_624
    | ~ spl2_247
    | ~ spl2_23
    | ~ spl2_73
    | spl2_26
    | ~ spl2_67 ),
    inference(rat,[],[s5583,s6289,s3302,s1025,s1298,s7999,s13,s157,s3240,s8173,s8174]) ).

cnf(s8387,plain,
    ( ~ spl2_86
    | ~ spl2_406
    | spl2_433
    | spl2_98
    | ~ spl2_396 ),
    inference(rat,[],[s95,s1236,s7002,s640,s6117,s4002,s7283,s2241]) ).

cnf(s8388,plain,
    ( spl2_433
    | spl2_463
    | ~ spl2_396
    | ~ spl2_6
    | ~ spl2_611
    | ~ spl2_49 ),
    inference(rat,[],[s3971,s1852,s4846,s1102,s3303,s1219,s1208,s3096,s4981]) ).

cnf(s8389,plain,
    ( spl2_24
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s8204,s3321,s6583,s6764,s1444,s1052,s2977,s8386,s8388,s6418,s423,s2774,s694,s7570,s5296,s4327,s7973,s799,s8385,s5154,s4355,s1142,s7974,s5568,s6579,s5566,s337,s2772,s5983,s6126,s6755,s155,s157,s6514,s6515,s6109,s3243,s3240,s6581,s8384,s13,s6804,s4770,s3271,s3247,s43,s2340,s2363,s8359,s8173,s8174]) ).

cnf(s8390,plain,
    ( ~ spl2_433
    | ~ spl2_525
    | ~ spl2_105
    | spl2_494
    | ~ spl2_116
    | ~ spl2_78
    | ~ spl2_76 ),
    inference(rat,[],[s2160,s1086,s4055,s4056,s1730,s5567]) ).

cnf(s8391,plain,
    ( ~ spl2_116
    | ~ spl2_76
    | ~ spl2_63
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s6567,s4056,s1142,s1730,s7283,s1011,s1102,s1852,s8390,s6126,s105,s165,s4480,s106,s5758,s5892,s885,s614,s8217,s1691,s2340,s7157,s43,s6880,s1891,s629,s4730,s2363,s8359,s8389,s8173]) ).

cnf(s8392,plain,
    ( ~ spl2_76
    | spl2_73
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s46,s1933,s20,s8368,s155,s8391,s1942,s7157,s43,s8359,s6880,s8389,s7162]) ).

cnf(s8393,plain,
    ( ~ spl2_396
    | ~ spl2_362
    | spl2_179
    | spl2_75
    | ~ spl2_181
    | ~ spl2_268
    | ~ spl2_19 ),
    inference(rat,[],[s7204,s6947,s4708,s5618,s2018,s4867,s2439,s43,s8359]) ).

cnf(s8394,plain,
    ( ~ spl2_411
    | ~ spl2_665
    | spl2_86
    | ~ spl2_185
    | ~ spl2_21
    | ~ spl2_116
    | spl2_61 ),
    inference(rat,[],[s2909,s7753,s6548,s6407,s6117,s1722,s5636,s1461,s73,s8173]) ).

cnf(s8395,plain,
    ( ~ spl2_115
    | ~ spl2_396
    | ~ spl2_181
    | spl2_553
    | ~ spl2_268
    | spl2_276
    | ~ spl2_20
    | ~ spl2_19 ),
    inference(rat,[],[s1052,s8393,s6748,s2376,s3197,s695,s7186]) ).

cnf(s8396,plain,
    ( ~ spl2_268
    | spl2_276
    | ~ spl2_349
    | ~ spl2_20
    | ~ spl2_116
    | spl2_104
    | ~ spl2_96
    | spl2_76
    | ~ spl2_38
    | ~ spl2_24
    | ~ spl2_16
    | ~ spl2_19 ),
    inference(rat,[],[s8393,s3197,s2376,s7570,s1911,s1052,s1625,s1342,s8395,s1142,s8394,s6708,s1891,s5285,s6077,s73,s280,s1972,s1108,s3660,s5816,s43,s2340,s8359,s13,s885,s1691,s8173]) ).

cnf(s8397,plain,
    ( ~ spl2_247
    | spl2_112
    | ~ spl2_349
    | ~ spl2_116
    | spl2_73
    | ~ spl2_67 ),
    inference(rat,[],[s3321,s6294,s2635,s807,s5069,s806,s7246,s1461,s8173]) ).

cnf(s8398,plain,
    ( ~ spl2_86
    | ~ spl2_96
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s105,s4480,s106]) ).

cnf(s8399,plain,
    ( ~ spl2_478
    | spl2_278
    | spl2_393
    | ~ spl2_107
    | ~ spl2_321
    | ~ spl2_116 ),
    inference(rat,[],[s7204,s4494,s1335,s4055]) ).

cnf(s8400,plain,
    ( ~ spl2_423
    | ~ spl2_111
    | ~ spl2_321
    | ~ spl2_116 ),
    inference(rat,[],[s1026,s2132,s3432,s1971,s8173]) ).

cnf(s8401,plain,
    ( spl2_278
    | spl2_423
    | spl2_393
    | spl2_288
    | ~ spl2_396 ),
    inference(rat,[],[s1337,s4199,s7575,s7574,s3990,s5989,s1052,s1208]) ).

cnf(s8402,plain,
    ( ~ spl2_349
    | ~ spl2_116
    | spl2_73
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s2992,s2250,s8401,s8400,s4867,s3197,s7570,s4691,s807,s2988,s8167,s6881,s6480,s3321,s6878,s6728,s7187,s994,s929,s8397,s879,s7180,s8396,s877,s2340,s2363,s3276,s3343,s5285,s73,s8398,s6819,s125,s7149,s43,s8359,s22,s8389,s8382,s13,s885,s1691,s8392,s8173]) ).

cnf(s8403,plain,
    ( ~ spl2_116
    | spl2_73
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s3321,s6764,s6881,s7033,s1052,s2988,s7246,s3463,s7043,s799,s8402,s1461,s7162,s5758,s5285,s73,s8398,s6819,s8392,s125,s7149,s43,s8359,s22,s8389,s8173,s8174]) ).

cnf(s8404,plain,
    ( spl2_73
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5300,s8403,s6708,s1891,s5285,s73,s8398,s6819,s8392,s125,s7149,s43,s8359,s2363,s22,s8389]) ).

cnf(s8405,plain,
    ( ~ spl2_76
    | ~ spl2_349
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s3302,s1971,s3303,s8401,s1208,s807,s4867,s8215,s3197,s3321,s7570,s1142,s6764,s1911,s7974,s5983,s1052,s13,s5029,s885,s6581,s5568,s6579,s5591,s1942,s629,s7157,s4730,s6755,s43,s2340,s8359,s6880,s157,s155,s6856,s3240,s8404,s8389,s2363,s877,s8173,s8174]) ).

cnf(s8406,plain,
    ( spl2_76
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5285,s337,s73,s1942,s8398,s6581,s6819,s6199,s43,s8359,s22,s125,s7668,s157,s3240,s8404,s8389,s8174,s8173]) ).

cnf(s8407,plain,
    ( ~ spl2_288
    | spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s2673,s1052,s6583,s2774,s1911,s8278,s6856,s3240,s799,s8405,s6126,s6514,s6581,s1942,s7157,s6880,s8404,s1891,s629,s4730,s8406,s2363,s8389,s43,s8359,s8173,s8174]) ).

cnf(s8408,plain,
    ( spl2_39
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s3172,s5801,s1102,s3431,s3303,s8401,s1208,s4867,s5024,s3197,s7570,s8407,s1142,s7974,s5983,s13,s4196,s885,s7180,s6579,s5591,s6163,s799,s629,s8405,s7157,s4730,s8406,s155,s157,s3240,s8404,s6880,s8389,s2340,s2363,s43,s8359,s8173,s8174]) ).

cnf(s8409,plain,
    ( ~ spl2_268
    | ~ spl2_321
    | ~ spl2_82
    | spl2_278
    | ~ spl2_349
    | spl2_61
    | spl2_76
    | ~ spl2_116
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s3990,s7575,s7085,s6724,s1479,s3117,s7574,s2204,s3432,s8225,s1026,s2909,s6548,s5588,s6117,s6764,s1722,s5801,s3321,s5636,s6480,s1142,s1108,s8295,s5816,s8359,s3885,s6558,s4310,s73,s4480,s1936,s13,s7427,s3891,s8408,s877,s1052,s8173,s8174]) ).

cnf(s8410,plain,
    ( ~ spl2_389
    | ~ spl2_396
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s2738,s2307]) ).

cnf(s8411,plain,
    ( ~ spl2_396
    | spl2_112
    | ~ spl2_321
    | ~ spl2_82
    | spl2_278
    | ~ spl2_349
    | ~ spl2_116
    | ~ spl2_63
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s4630,s2028,s1086,s5899,s3517,s6480,s807,s4844,s4222,s696,s7574,s8401,s4494,s3432,s8410,s2748,s4867,s73,s3601,s5892,s7427,s3891,s5758,s4480,s1936,s6558,s8408,s4310,s8174,s8173]) ).

cnf(s8412,plain,
    ( ~ spl2_82
    | spl2_278
    | ~ spl2_349
    | ~ spl2_116
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s3321,s6294,s6480,s807,s2028,s3517,s4822,s7574,s2204,s6408,s1289,s3451,s1026,s2909,s6548,s6117,s7108,s5801,s5636,s1142,s8411,s879,s8409,s929,s8059,s621,s8359,s73,s295,s5890,s13,s6199,s5892,s7427,s3891,s7162,s5758,s4480,s1936,s6558,s8408,s4310,s1052,s8173,s8174]) ).

cnf(s8413,plain,
    ( spl2_295
    | spl2_57
    | spl2_61
    | ~ spl2_60
    | spl2_419
    | ~ spl2_39
    | ~ spl2_58 ),
    inference(rat,[],[s7587,s6658,s5640,s7573]) ).

cnf(s8415,plain,
    ( ~ spl2_255
    | spl2_273
    | ~ spl2_268
    | spl2_74
    | spl2_276
    | ~ spl2_116
    | ~ spl2_24
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s618,s903,s7730,s7427,s8173]) ).

cnf(s8416,plain,
    ( ~ spl2_268
    | spl2_247
    | spl2_389
    | spl2_456
    | spl2_74
    | spl2_278
    | ~ spl2_349
    | spl2_61
    | ~ spl2_116
    | ~ spl2_63
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s6127,s7413,s1565,s1248,s7540,s7762,s6125,s5705,s2449,s8415,s5712,s3969,s8413,s6082,s7575,s3990,s2993,s3517,s4822,s3117,s6882,s3451,s7574,s2909,s2204,s6560,s6548,s8225,s6974,s6117,s6764,s1722,s3321,s5636,s6480,s1142,s1108,s8295,s5816,s43,s8359,s4728,s73,s295,s13,s5892,s7427,s3891,s5758,s4480,s1936,s6558,s8408,s4310,s877,s1052,s3432,s929,s8173,s8174]) ).

cnf(s8417,plain,
    ( ~ spl2_396
    | spl2_268
    | spl2_247
    | spl2_82
    | spl2_278
    | spl2_276
    | ~ spl2_116
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s6285,s6379,s1740,s4279,s6122,s6383,s7540,s6125,s1248,s5705,s7807,s5712,s3969,s2028,s8413,s4630,s6764,s6267,s1086,s3321,s6117,s5899,s1298,s2449,s6881,s1730,s3517,s7826,s2988,s8399,s807,s874,s4222,s695,s7574,s8401,s4494,s2748,s2018,s4867,s43,s8359,s4728,s5893,s73,s3601,s23,s5892,s7162,s5758,s4480,s1936,s5890,s13,s7427,s1052,s1891,s3432,s929,s7801,s5630,s3891,s879,s6558,s8408,s4310,s8173,s8174]) ).

cnf(s8418,plain,
    ( spl2_247
    | spl2_278
    | ~ spl2_349
    | ~ spl2_116
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s3321,s6294,s6480,s807,s2028,s3517,s4822,s7574,s3451,s2204,s2909,s6408,s6548,s6117,s7108,s5801,s5636,s1142,s8417,s879,s8416,s8359,s73,s295,s5890,s13,s6199,s5892,s7427,s7162,s5758,s4480,s1936,s877,s1052,s1891,s1942,s337,s1289,s7801,s5630,s8412,s6558,s4310,s3891,s8408,s8174,s8173]) ).

cnf(s8419,plain,
    ( ~ spl2_247
    | ~ spl2_116
    | ~ spl2_20
    | spl2_94
    | ~ spl2_39 ),
    inference(rat,[],[s7186,s3036,s2053,s787,s8173]) ).

cnf(s8421,plain,
    ( ~ spl2_313
    | ~ spl2_82
    | ~ spl2_422
    | spl2_389
    | ~ spl2_588
    | spl2_185
    | ~ spl2_111
    | spl2_112
    | ~ spl2_321
    | ~ spl2_77
    | spl2_61
    | spl2_49
    | spl2_73
    | spl2_64
    | ~ spl2_60
    | ~ spl2_637 ),
    inference(rat,[],[s1154,s1182,s5640,s637,s706,s1235,s3095,s3096,s5588,s5423,s7108,s7575,s2132,s1842,s6653,s6074,s7162,s100,s8173]) ).

cnf(s8422,plain,
    ( ~ spl2_395
    | ~ spl2_396
    | spl2_185
    | spl2_76 ),
    inference(rat,[],[s2028,s4630]) ).

cnf(s8423,plain,
    ( ~ spl2_286
    | spl2_74
    | spl2_322
    | spl2_395
    | spl2_542
    | ~ spl2_396
    | spl2_185
    | ~ spl2_349
    | ~ spl2_321
    | spl2_419
    | ~ spl2_39
    | ~ spl2_58 ),
    inference(rat,[],[s8354,s7131,s6125,s6122,s3767,s2762,s6383,s7587]) ).

cnf(s8424,plain,
    ( spl2_74
    | spl2_322
    | spl2_395
    | spl2_542
    | spl2_185
    | spl2_363
    | ~ spl2_277
    | ~ spl2_349
    | ~ spl2_321
    | spl2_61
    | ~ spl2_60
    | spl2_419
    | ~ spl2_39
    | ~ spl2_58 ),
    inference(rat,[],[s8354,s6125,s5640,s6720,s8423,s8167]) ).

cnf(s8425,plain,
    ( ~ spl2_74
    | spl2_29
    | spl2_86 ),
    inference(rat,[],[s6106,s1898]) ).

cnf(s8426,plain,
    ( ~ spl2_349
    | ~ spl2_116
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s4257,s4609,s5630,s1102,s8421,s5288,s7574,s4199,s1304,s7575,s1842,s8424,s5899,s1086,s8422,s3136,s1289,s1208,s6878,s8410,s2018,s4867,s2992,s8167,s2250,s6479,s6480,s3321,s4691,s6294,s6642,s807,s879,s7180,s3463,s7731,s8418,s43,s8359,s4728,s3885,s5836,s787,s5890,s13,s6199,s5598,s5892,s7162,s5758,s929,s8419,s5893,s6558,s4310,s4622,s8425,s6069,s1377,s7427,s3891,s73,s4480,s1936,s8408,s8173,s8174]) ).

cnf(s8427,plain,
    ( ~ spl2_116
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s2204,s6408,s7574,s1289,s3517,s3451,s1026,s2909,s6548,s6117,s7108,s5801,s5636,s1142,s1052,s8295,s7731,s7043,s7052,s799,s8426,s929,s8419,s6199,s5890,s5892,s13,s7427,s295,s8359,s4622,s3891,s5758,s7162,s5893,s73,s4480,s1936,s6558,s8408,s4310,s8173,s8174]) ).

cnf(s8428,plain,
    ( ~ spl2_268
    | spl2_247
    | ~ spl2_349
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s2204,s7574,s8225,s3517,s3451,s1025,s1957,s5551,s2909,s807,s6560,s6548,s6294,s6764,s6974,s6117,s3321,s1722,s6480,s1108,s5636,s5816,s5890,s5892,s13,s885,s1688,s874,s1444,s1142,s1052,s8295,s7731,s3891,s73,s5758,s4480,s1936,s6558,s8408,s4310,s7162,s3,s4264,s8359,s877,s929,s5194,s157,s8427,s8173,s8174]) ).

cnf(s8429,plain,
    ( spl2_400
    | ~ spl2_303
    | ~ spl2_63
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1086,s5801,s5899,s1687,s5552,s1102,s5758,s4480,s1936,s6558,s8408,s4310,s8173,s8174]) ).

cnf(s8430,plain,
    ( ~ spl2_303
    | spl2_268
    | spl2_276
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s7204,s2965,s1479,s1142,s7085,s4867,s1208,s1287,s3303,s8429,s6338,s874,s1688,s7162,s5893,s73,s4480,s1936,s6558,s8408,s4310,s3,s157,s8427,s4264,s8359,s8173,s8174]) ).

cnf(s8431,plain,
    ( ~ spl2_286
    | ~ spl2_115
    | ~ spl2_553
    | ~ spl2_396
    | spl2_74
    | ~ spl2_277
    | ~ spl2_39
    | ~ spl2_19 ),
    inference(rat,[],[s7950,s2763,s4279,s6124,s6122,s3659,s2449,s6383,s2528,s7587,s6558,s4310,s4867,s1936,s2018,s4728,s8410,s3891,s8174,s8173]) ).

cnf(s8432,plain,
    ( spl2_273
    | ~ spl2_396
    | spl2_247
    | ~ spl2_349
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s8354,s6125,s5640,s6720,s8431,s6878,s2992,s6748,s2250,s6480,s8401,s3321,s4691,s6294,s6642,s807,s5194,s157,s8427,s7180,s5890,s13,s8425,s6069,s1377,s885,s8430,s8428,s877,s73,s4480,s4867,s1936,s3432,s8410,s3891,s8408,s929,s8173,s8174]) ).

cnf(s8433,plain,
    ( spl2_399
    | ~ spl2_77
    | spl2_474
    | spl2_73
    | spl2_64
    | ~ spl2_67 ),
    inference(rat,[],[s7108,s5801,s6117,s1086,s6267,s5899,s1298,s7162]) ).

cnf(s8434,plain,
    ( ~ spl2_248
    | ~ spl2_316
    | ~ spl2_278
    | ~ spl2_273
    | spl2_76
    | ~ spl2_349
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s3332,s2623,s6748,s710,s695,s3095,s6878,s5588,s2992,s5423,s6881,s2250,s6479,s3885,s7149,s5893,s73,s5598,s7108,s2132,s8433,s7713,s157,s8427,s3891,s5758,s4480,s1936,s6558,s8408,s4310,s6199,s2988,s8173,s8174]) ).

cnf(s8436,plain,
    ( spl2_115
    | ~ spl2_278
    | ~ spl2_273 ),
    inference(rat,[],[s8202,s6786,s874]) ).

cnf(s8437,plain,
    ( ~ spl2_396
    | spl2_247
    | ~ spl2_349
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1942,s337,s3332,s4844,s6748,s6338,s695,s8436,s8434,s7575,s1842,s6074,s6949,s7574,s3517,s3451,s5550,s8432,s3303,s3432,s1208,s8410,s4867,s5893,s73,s3,s4264,s8359,s929,s8433,s6199,s5892,s885,s8430,s8428,s877,s7162,s7713,s157,s8427,s3891,s5758,s4480,s1936,s6558,s8408,s4310,s8174,s8173]) ).

cnf(s8438,plain,
    ( spl2_273
    | spl2_396
    | ~ spl2_21
    | ~ spl2_277
    | spl2_112
    | ~ spl2_349
    | spl2_73
    | ~ spl2_60 ),
    inference(rat,[],[s6480,s3321,s8167,s6294,s6642,s807,s5890]) ).

cnf(s8439,plain,
    ( spl2_247
    | ~ spl2_349
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s7203,s8434,s1842,s5580,s1208,s337,s1273,s1942,s3332,s3136,s6748,s8436,s1052,s2204,s6074,s7574,s3517,s7280,s8438,s6408,s1289,s1025,s3451,s5551,s5550,s6560,s6548,s6974,s1142,s8437,s6117,s7108,s2132,s8433,s6199,s5892,s13,s885,s8430,s7180,s8428,s5194,s929,s43,s8359,s73,s5758,s4480,s1936,s7162,s7713,s157,s8427,s3891,s6558,s4310,s8408,s877,s8173,s8174]) ).

cnf(s8440,plain,
    ( ~ spl2_349
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s2921,s423,s7186,s807,s3036,s7899,s8439,s4622,s3891,s5893,s73,s4480,s1936,s6558,s8408,s4310,s8173,s8174]) ).

cnf(s8441,plain,
    ( ~ spl2_396
    | ~ spl2_321
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s8295,s7731,s6711,s5890,s13,s885,s8429,s3303,s1208,s4867,s3891,s73,s4480,s1936,s8408,s7162,s3,s157,s8427,s4264,s8359,s799,s8440,s8174]) ).

cnf(s8442,plain,
    ( spl2_26
    | ~ spl2_411
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s2204,s7574,s6408,s3517,s1289,s3451,s1025,s1957,s2811,s874,s6117,s1444,s7108,s1052,s5801,s7731,s8433,s5636,s6711,s6199,s5890,s5892,s13,s73,s7713,s3891,s3,s157,s8427,s4264,s8359,s7043,s799,s8440,s5758,s4480,s1936,s6558,s8408,s4310,s7162,s8173,s8174]) ).

cnf(s8443,plain,
    ( ~ spl2_26
    | spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1052,s1444,s7731,s2811,s8430,s1426,s885,s3,s157,s8427,s4264,s8359,s924,s7043,s799,s8440,s5758,s4480,s1936,s6558,s8408,s4310,s7162,s8173,s8174]) ).

cnf(s8444,plain,
    ( spl2_73
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5813,s3100,s929,s8441,s6711,s1142,s5890,s8442,s13,s8443,s799,s8440,s3891,s73,s4480,s1936,s8408,s8174]) ).

cnf(s8445,plain,
    ( spl2_273
    | spl2_26
    | spl2_423
    | spl2_247
    | spl2_393
    | ~ spl2_396
    | ~ spl2_73
    | ~ spl2_67 ),
    inference(rat,[],[s7204,s1609,s6653,s3172,s3302,s1102,s3303,s8401,s3,s4691,s4266,s807,s1208,s5194,s157,s3240,s8173,s8174]) ).

cnf(s8446,plain,
    ( spl2_26
    | spl2_247
    | ~ spl2_349
    | ~ spl2_396
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1292,s3302,s5581,s5583,s3095,s5423,s7575,s6479,s1842,s7528,s3503,s936,s874,s2393,s7047,s710,s1957,s5568,s3064,s3229,s3445,s8445,s6109,s7486,s13,s43,s8359,s777,s73,s4480,s7713,s157,s3240,s8444,s6558,s4310,s1208,s4867,s1936,s3432,s929,s8410,s3891,s8408,s8173,s8174]) ).

cnf(s8447,plain,
    ( spl2_273
    | ~ spl2_115
    | spl2_247
    | ~ spl2_422
    | ~ spl2_73
    | ~ spl2_67 ),
    inference(rat,[],[s7204,s1609,s6653,s3172,s1052,s3302,s1102,s1444,s3303,s3,s4266,s807,s5194,s157,s3240,s8173,s8174]) ).

cnf(s8448,plain,
    ( ~ spl2_395
    | ~ spl2_314
    | spl2_185
    | ~ spl2_349 ),
    inference(rat,[],[s4822,s2028]) ).

cnf(s8449,plain,
    ( spl2_278
    | spl2_20
    | spl2_74
    | spl2_185
    | ~ spl2_115
    | ~ spl2_124
    | ~ spl2_321
    | ~ spl2_349
    | spl2_494
    | spl2_389
    | spl2_393
    | ~ spl2_73
    | ~ spl2_24
    | spl2_419
    | ~ spl2_39
    | ~ spl2_67 ),
    inference(rat,[],[s1153,s2449,s1154,s7081,s3103,s4290,s6127,s4388,s6411,s3046,s1086,s8448,s3076,s7586,s3,s7574,s1444,s4494,s1052,s157,s1289,s7575,s1842,s3503,s3240,s1208,s8173,s8174]) ).

cnf(s8451,plain,
    ( ~ spl2_284
    | spl2_433
    | ~ spl2_110
    | ~ spl2_77
    | ~ spl2_278
    | spl2_74
    | ~ spl2_26
    | ~ spl2_396
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s4299,s6127,s7950,s6718,s7587,s2391,s5416,s7531,s7107,s5418,s3076,s2529,s6558,s4310,s73,s4480,s4867,s1936,s1289,s8410,s3891,s8408,s5591,s885,s8444,s8173,s8174]) ).

cnf(s8452,plain,
    ( spl2_400
    | spl2_247
    | ~ spl2_349
    | ~ spl2_396
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5283,s6122,s2801,s6383,s7587,s5634,s618,s8451,s3034,s1086,s5177,s3302,s1102,s157,s2018,s4728,s1289,s3445,s5029,s6338,s7731,s8449,s94,s936,s1888,s6060,s4854,s1644,s5598,s6479,s2679,s8447,s1208,s6480,s7528,s73,s4480,s7047,s3240,s629,s5591,s929,s3118,s43,s8359,s8410,s4867,s1936,s8444,s6558,s4310,s3891,s8408,s874,s1688,s885,s8446,s877,s8173,s8174]) ).

cnf(s8453,plain,
    ( spl2_247
    | ~ spl2_349
    | ~ spl2_396
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s4822,s2028,s7574,s1086,s5288,s3050,s8452,s6480,s7528,s3136,s7576,s874,s7047,s4776,s1688,s5591,s1426,s885,s8446,s43,s8359,s73,s4480,s1936,s3240,s8444,s1289,s8410,s3891,s8408,s877,s8173,s8174]) ).

cnf(s8454,plain,
    ( ~ spl2_349
    | ~ spl2_396
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s4844,s337,s696,s3970,s6480,s7570,s1108,s3036,s806,s8453,s6558,s4310,s4622,s3891,s73,s4480,s1936,s8408,s8444,s8174,s8173]) ).

cnf(s8455,plain,
    ( spl2_278
    | spl2_536
    | ~ spl2_21
    | ~ spl2_57
    | ~ spl2_321
    | spl2_349
    | spl2_389
    | spl2_393
    | ~ spl2_396
    | ~ spl2_73 ),
    inference(rat,[],[s3520,s6640,s6881,s6440,s4802,s7575,s3321,s694,s7574,s3990,s6764,s8401,s4494,s1052,s3432]) ).

cnf(s8456,plain,
    ( spl2_26
    | spl2_247
    | ~ spl2_396
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s6881,s7717,s629,s7576,s1601,s1602,s8436,s8455,s2988,s8445,s13,s8444,s4867,s1936,s7033,s43,s8359,s799,s8454,s3432,s929,s8410,s3891,s8408,s8173,s8174]) ).

cnf(s8457,plain,
    ( spl2_247
    | ~ spl2_396
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s3321,s6728,s7726,s6645,s3302,s5592,s3303,s7180,s380,s3,s4196,s826,s4266,s1688,s831,s7385,s874,s1601,s7055,s629,s5591,s885,s8456,s5194,s929,s8359,s4480,s7713,s157,s3240,s8444,s3891,s6558,s4310,s1208,s4867,s1936,s8408,s799,s8454,s8173,s8174]) ).

cnf(s8458,plain,
    ( ~ spl2_396
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s3441,s13,s337,s2679,s1942,s6563,s6479,s6581,s7186,s5598,s6199,s6583,s1644,s8204,s4854,s3110,s6084,s7052,s7180,s694,s5813,s7570,s3100,s3036,s8457,s799,s8454,s6558,s4310,s4622,s3891,s73,s4480,s1936,s8408,s8444,s8174,s8173]) ).

cnf(s8459,plain,
    ( ~ spl2_7
    | ~ spl2_248
    | ~ spl2_115
    | spl2_26
    | ~ spl2_349
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5517,s7587,s6124,s4485,s2887,s5306,s2391,s7107,s3076,s2529,s7530,s6479,s803,s936,s102,s2393,s6881,s2988,s4266,s3891,s6558,s4310,s73,s4480,s1936,s8408,s929,s13,s6109,s8444,s1108,s6480,s8173,s8174]) ).

cnf(s8461,plain,
    ( ~ spl2_393
    | ~ spl2_456
    | ~ spl2_110
    | ~ spl2_21
    | spl2_276
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1479,s7574,s7085,s2965,s5583,s1273,s7713,s157,s3240,s8444,s3891,s6558,s4310,s8408,s1142,s8458,s8174,s8173]) ).

cnf(s8462,plain,
    ( ~ spl2_248
    | ~ spl2_115
    | spl2_26
    | ~ spl2_349
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5581,s3095,s1298,s5423,s3302,s7575,s3303,s1842,s1208,s8461,s6479,s936,s2393,s337,s710,s1942,s2623,s6581,s6338,s5029,s7731,s1052,s1444,s3,s8459,s73,s4480,s1936,s7713,s157,s3891,s877,s13,s7486,s777,s6558,s8408,s4310,s6109,s3503,s929,s3240,s8444,s8173,s8174]) ).

cnf(s8463,plain,
    ( ~ spl2_115
    | spl2_26
    | ~ spl2_349
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1444,s1052,s3,s5029,s4266,s6581,s7256,s1942,s5568,s337,s5580,s8462,s694,s6442,s3446,s3136,s43,s8359,s157,s3240,s13,s6109,s8444,s8174,s8173]) ).

cnf(s8464,plain,
    ( spl2_273
    | ~ spl2_248
    | spl2_26
    | ~ spl2_349
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5816,s7180,s2507,s6715,s1086,s7574,s1478,s1479,s7085,s1208,s5583,s3303,s3302,s3,s7726,s6642,s4266,s4019,s7713,s3891,s6558,s4310,s8408,s1142,s8458,s5194,s157,s3240,s8444,s877,s13,s8463,s1108,s6480,s8173,s8174]) ).

cnf(s8465,plain,
    ( ~ spl2_248
    | spl2_26
    | ~ spl2_349
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1957,s8215,s8464,s8444,s874,s8463]) ).

cnf(s8466,plain,
    ( spl2_26
    | ~ spl2_349
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s3229,s3445,s807,s6653,s3302,s2507,s7574,s1086,s1335,s4056,s1730,s6117,s6548,s7293,s6515,s6581,s4823,s1942,s5568,s6579,s337,s7047,s6764,s3321,s8465,s1052,s2992,s6878,s874,s8463,s13,s43,s8359,s6558,s4310,s4480,s1936,s8408,s4019,s1142,s8458,s5194,s157,s3240,s8444,s8173,s8174]) ).

cnf(s8467,plain,
    ( spl2_273
    | ~ spl2_349
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1479,s7574,s7085,s2965,s1287,s1273,s6563,s6581,s6338,s7180,s5029,s7731,s1052,s1444,s1208,s3,s8447,s4266,s6558,s8408,s4310,s157,s3240,s8444,s1142,s8458,s874,s1688,s885,s8466,s877,s8173,s8174]) ).

cnf(s8468,plain,
    ( ~ spl2_349
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s5288,s1289,s7574,s1034,s8448,s2028,s1086,s2148,s3302,s5544,s94,s8425,s6060,s4854,s1644,s936,s5598,s6479,s2679,s8467,s6480,s3136,s7528,s874,s7047,s1688,s5591,s885,s8466,s877,s43,s8359,s6558,s4310,s73,s4480,s1936,s8408,s3240,s8444,s1142,s8458,s8173,s8174]) ).

cnf(s8469,plain,
    ( ~ spl2_115
    | spl2_26
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1052,s7731,s1444,s7180,s3,s2773,s4266,s6515,s7256,s6581,s694,s5568,s1942,s6442,s629,s7576,s3446,s1601,s1602,s3136,s43,s8359,s6558,s8408,s4310,s157,s3240,s929,s799,s8468,s13,s6109,s8444,s8174,s8173]) ).

cnf(s8470,plain,
    ( spl2_255
    | spl2_185
    | ~ spl2_77
    | spl2_76
    | ~ spl2_317
    | ~ spl2_456
    | ~ spl2_248
    | spl2_115
    | spl2_74
    | ~ spl2_321
    | ~ spl2_73
    | ~ spl2_60
    | ~ spl2_67 ),
    inference(rat,[],[s4485,s5306,s6293,s7107,s1154,s3221,s7127,s2455,s5101,s7332,s3423,s1203,s874,s337,s1942]) ).

cnf(s8471,plain,
    ( ~ spl2_255
    | spl2_23
    | ~ spl2_389
    | ~ spl2_400
    | spl2_74
    | ~ spl2_411
    | spl2_419
    | ~ spl2_39 ),
    inference(rat,[],[s5282,s6122,s4485,s2927,s7772,s7587,s8173]) ).

cnf(s8472,plain,
    ( ~ spl2_248
    | spl2_273
    | spl2_26
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s4485,s7950,s5306,s2253,s3969,s4525,s7127,s5585,s2455,s5101,s7332,s8470,s3423,s8471,s1025,s6199,s3050,s2507,s7576,s337,s1086,s1203,s1942,s1478,s1477,s7085,s1208,s3303,s5583,s3302,s7726,s43,s8359,s73,s4480,s1936,s4019,s7713,s3891,s6558,s4310,s8408,s1142,s8458,s929,s5194,s13,s6109,s874,s8469,s3,s4266,s157,s3240,s8444,s8173,s8174]) ).

cnf(s8473,plain,
    ( spl2_273
    | spl2_26
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s7731,s7180,s1052,s6728,s6764,s3321,s8472,s6642,s4480,s1936,s8408,s7033,s799,s8468,s43,s8359,s13,s8174]) ).

cnf(s8474,plain,
    ( spl2_26
    | spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s8221,s3229,s1052,s1957,s8436,s8473,s874,s8469,s43,s8359,s8444]) ).

cnf(s8475,plain,
    ( spl2_247
    | ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s1478,s7085,s1086,s1208,s1287,s2148,s3303,s2898,s5492,s7574,s6084,s6715,s4854,s6645,s1644,s6563,s5592,s7180,s380,s3,s4196,s826,s4266,s1688,s831,s7385,s874,s1601,s7055,s629,s5591,s885,s8474,s799,s8468,s929,s8359,s6558,s4310,s4480,s1936,s8408,s4019,s157,s3240,s8444,s1142,s8458,s8173,s8174]) ).

cnf(s8476,plain,
    ( spl2_26
    | spl2_112
    | ~ spl2_110
    | ~ spl2_288
    | ~ spl2_247
    | ~ spl2_73
    | ~ spl2_60
    | ~ spl2_67 ),
    inference(rat,[],[s4844,s7741,s5566,s423,s807,s4222,s13,s694,s8173]) ).

cnf(s8477,plain,
    ( ~ spl2_67
    | ~ spl2_19 ),
    inference(rat,[],[s6479,s2679,s5598,s6563,s7585,s7186,s4844,s2921,s5591,s1426,s885,s8476,s879,s7180,s696,s5813,s7570,s3100,s3036,s8475,s8444,s73,s4480,s4622,s6558,s3891,s1936,s8408,s4310,s8173,s8174]) ).

cnf(s8478,plain,
    ( ~ spl2_474
    | ~ spl2_82
    | spl2_185
    | ~ spl2_349
    | ~ spl2_115 ),
    inference(rat,[],[s7204,s8448,s4450,s6436]) ).

cnf(s8479,plain,
    ( ~ spl2_433
    | ~ spl2_617
    | ~ spl2_525
    | spl2_474
    | ~ spl2_116
    | spl2_185
    | ~ spl2_349
    | spl2_26 ),
    inference(rat,[],[s8448,s7574,s1086,s5273,s2160,s1289,s1026,s2132,s1298,s5581,s8173]) ).

cnf(s8480,plain,
    ( ~ spl2_268
    | spl2_474
    | spl2_649
    | ~ spl2_116
    | spl2_74
    | spl2_185
    | ~ spl2_349
    | ~ spl2_115
    | ~ spl2_16
    | spl2_26
    | spl2_247
    | ~ spl2_19 ),
    inference(rat,[],[s7753,s6649,s4141,s1142,s2241,s8479,s1750,s1685,s6442,s73,s694,s6077,s6126,s7186,s7570,s1974,s803,s5496,s5816,s43,s8359,s1156,s8477,s13,s1108,s1461,s8173]) ).

cnf(s8481,plain,
    ( spl2_278
    | ~ spl2_20
    | ~ spl2_15
    | ~ spl2_277
    | spl2_474
    | spl2_423
    | spl2_649
    | ~ spl2_349
    | spl2_456
    | ~ spl2_248
    | spl2_363
    | spl2_61
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s6882,s1298,s2993,s5581,s1287,s8401,s4991,s8167,s73,s6863,s1911,s1052,s6480,s1080,s8173]) ).

cnf(s8482,plain,
    ( ~ spl2_82
    | ~ spl2_349
    | spl2_24
    | ~ spl2_248
    | spl2_273
    | ~ spl2_115
    | spl2_39
    | spl2_61
    | spl2_26
    | spl2_247
    | spl2_120
    | ~ spl2_19 ),
    inference(rat,[],[s3336,s695,s8481,s3276,s8381,s1974,s6647,s6202,s7180,s8480,s8478,s8400,s4817,s157,s6108,s1436,s1156,s8477,s929,s13,s994,s2363,s807,s3271,s3247,s6480]) ).

cnf(s8483,plain,
    ( ~ spl2_268
    | spl2_74
    | spl2_185
    | ~ spl2_349
    | spl2_24
    | ~ spl2_115
    | ~ spl2_16
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s1292,s7753,s5954,s2160,s4991,s1142,s6567,s1086,s8448,s7574,s4450,s8480,s4817,s1461,s1793,s98,s3453,s6126,s5892,s1644,s803,s5816,s43,s8359,s7162,s5890,s13,s1108,s8173]) ).

cnf(s8484,plain,
    ( ~ spl2_349
    | spl2_24
    | ~ spl2_248
    | spl2_273
    | ~ spl2_115
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s1288,s3365,s7084,s3782,s1287,s8422,s4981,s7575,s8167,s3276,s5936,s1620,s73,s8381,s8362,s7305,s6863,s8217,s4817,s6582,s695,s155,s1974,s6647,s6202,s7180,s8483,s1893,s337,s8482,s1080,s6480,s43,s1156,s8477,s7162,s7151,s8359,s5890,s13,s994,s2363,s3247,s8173]) ).

cnf(s8485,plain,
    ( spl2_24
    | ~ spl2_248
    | spl2_273
    | ~ spl2_115
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s5496,s7973,s1893,s7570,s4817,s629,s6209,s3503,s1601,s5643,s799,s8484,s3247,s8359,s1156,s8477,s929,s5890,s13]) ).

cnf(s8486,plain,
    ( ~ spl2_248
    | spl2_273
    | ~ spl2_115
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s5816,s799,s5892,s3543,s5758,s5024,s1972,s6863,s3197,s2440,s2338,s4196,s7570,s7187,s3398,s22,s8485,s43,s8359,s8477,s7162,s929,s2363,s3136]) ).

cnf(s8487,plain,
    ( spl2_24
    | ~ spl2_96
    | ~ spl2_116
    | ~ spl2_614
    | ~ spl2_115
    | spl2_363
    | ~ spl2_21
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s5496,s7186,s7180,s5629,s6728,s73,s4324,s6242,s4817,s8173]) ).

cnf(s8488,plain,
    ( spl2_273
    | ~ spl2_115
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s3276,s3660,s3336,s6748,s879,s3398,s8487,s1658,s157,s5892,s5194,s1893,s1169,s6294,s5649,s5580,s2092,s3321,s8486,s807,s43,s8359,s8477,s7162,s929,s13,s994,s2363,s3136]) ).

cnf(s8489,plain,
    ( ~ spl2_82
    | spl2_24
    | ~ spl2_248
    | ~ spl2_115
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s5034,s618,s3182,s903,s5153,s8338,s4341,s6720,s2799,s7180,s6125,s8483,s8337,s6480,s3463,s557,s295,s799,s157,s1601,s1436,s629,s8477,s7162,s7151,s8359,s929,s994,s2363,s1872,s8488,s8173,s8174]) ).

cnf(s8490,plain,
    ( ~ spl2_349
    | ~ spl2_536
    | ~ spl2_273 ),
    inference(rat,[],[s4330,s4835]) ).

cnf(s8491,plain,
    ( spl2_349
    | ~ spl2_273
    | ~ spl2_115
    | spl2_247
    | ~ spl2_19 ),
    inference(rat,[],[s3463,s3503,s7058,s5643,s799,s43,s8359,s1156,s8477,s929,s8173,s8174]) ).

cnf(s8492,plain,
    ( ~ spl2_248
    | ~ spl2_115
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s7187,s5816,s22,s4730,s8489,s629,s6881,s1108,s6480,s8359,s929,s2363,s8490,s8491,s8488]) ).

cnf(s8493,plain,
    ( ~ spl2_115
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s7187,s22,s5024,s6242,s105,s4324,s106,s4868,s7552,s1658,s157,s5892,s3463,s1169,s5649,s2092,s3321,s8492,s1872,s8488,s8359,s8477,s7162,s929,s13,s8173,s8174]) ).

cnf(s8494,plain,
    ( ~ spl2_433
    | ~ spl2_624
    | ~ spl2_617
    | ~ spl2_525
    | spl2_185
    | ~ spl2_349
    | ~ spl2_116
    | ~ spl2_82
    | spl2_26 ),
    inference(rat,[],[s7753,s1298,s1289,s5953,s5273,s7574,s8448,s6436,s8479,s1461,s8173]) ).

cnf(s8495,plain,
    ( ~ spl2_268
    | ~ spl2_349
    | spl2_649
    | ~ spl2_116
    | spl2_12
    | spl2_74
    | ~ spl2_82
    | spl2_273
    | ~ spl2_49
    | ~ spl2_248
    | spl2_115
    | ~ spl2_16
    | spl2_26
    | spl2_247
    | ~ spl2_19 ),
    inference(rat,[],[s4055,s4141,s3973,s1142,s3095,s2241,s8494,s4002,s5334,s6418,s6442,s73,s694,s6077,s710,s7570,s6126,s1974,s151,s5496,s803,s5816,s4496,s2380,s43,s8359,s1156,s8477,s1108,s6480,s8173]) ).

cnf(s8496,plain,
    ( ~ spl2_349
    | ~ spl2_116
    | spl2_12
    | ~ spl2_82
    | spl2_273
    | spl2_24
    | ~ spl2_248
    | spl2_115
    | ~ spl2_16
    | spl2_61
    | spl2_26
    | spl2_247
    | ~ spl2_19 ),
    inference(rat,[],[s2992,s2250,s8481,s6436,s8422,s8167,s73,s4324,s6242,s8373,s1974,s6647,s6202,s7180,s8495,s6878,s6480,s1156,s8477,s13,s994,s3271,s3247,s6108,s4817,s8400,s929,s807,s8173]) ).

cnf(s8497,plain,
    ( ~ spl2_82
    | spl2_273
    | spl2_24
    | ~ spl2_248
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s6242,s4324,s1658,s73,s6570,s7052,s7180,s5496,s7570,s6209,s5643,s799,s8496,s4817,s157,s7169,s6108,s1436,s1156,s8477,s7162,s7151,s8359,s929,s5890,s13,s2363,s8493,s8173]) ).

cnf(s8498,plain,
    ( ~ spl2_349
    | ~ spl2_78
    | spl2_273
    | spl2_24
    | ~ spl2_248
    | spl2_115
    | spl2_39
    | spl2_61
    | ~ spl2_21
    | spl2_247
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s1288,s6441,s7084,s3782,s1287,s1620,s8422,s4991,s7305,s8167,s4817,s8217,s73,s155,s8374,s1974,s6647,s6202,s7180,s2756,s4257,s4823,s6878,s6480,s43,s8359,s1156,s8477,s994,s2363,s3247,s8173]) ).

cnf(s8499,plain,
    ( spl2_273
    | spl2_24
    | ~ spl2_248
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s1873,s7052,s7973,s5803,s865,s1754,s7570,s6209,s5643,s799,s8498,s337,s8497,s1156,s8477,s7162,s929,s5890,s13,s874,s8493,s3247]) ).

cnf(s8500,plain,
    ( ~ spl2_396
    | ~ spl2_295
    | ~ spl2_86
    | ~ spl2_617
    | ~ spl2_525
    | spl2_579
    | spl2_649
    | ~ spl2_116
    | ~ spl2_82
    | spl2_185
    | ~ spl2_349
    | spl2_245
    | spl2_74
    | spl2_39
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s6564,s5301,s903,s1298,s2449,s7753,s6437,s2253,s1289,s3182,s5273,s6122,s4921,s7574,s5542,s4624,s8448,s2028,s6436,s8479,s4991,s1461,s8173]) ).

cnf(s8501,plain,
    ( ~ spl2_268
    | spl2_579
    | ~ spl2_116
    | ~ spl2_82
    | ~ spl2_349
    | spl2_245
    | spl2_74
    | ~ spl2_273
    | spl2_24
    | ~ spl2_248
    | spl2_39
    | spl2_61
    | spl2_26
    | spl2_247
    | ~ spl2_19 ),
    inference(rat,[],[s7753,s6649,s4141,s1142,s8500,s8360,s4002,s5334,s73,s6442,s6077,s694,s6126,s8373,s1974,s5540,s803,s5816,s5680,s43,s8359,s1156,s8477,s13,s2363,s3241,s1108,s6480,s1461,s4817,s8173]) ).

cnf(s8502,plain,
    ( spl2_24
    | ~ spl2_248
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s1208,s1278,s4867,s4991,s8167,s73,s3197,s6863,s7570,s1911,s6202,s7180,s8501,s2546,s4817,s6125,s157,s8337,s1436,s7837,s1080,s6480,s4835,s799,s560,s3543,s1052,s1255,s1957,s8436,s6786,s1872,s924,s8499,s8477,s7162,s7151,s3750,s43,s8359,s5890,s13,s994,s2363,s1257,s874,s8493,s8173]) ).

cnf(s8503,plain,
    ( ~ spl2_82
    | spl2_273
    | ~ spl2_248
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s903,s1248,s2985,s2140,s6122,s5542,s6293,s8422,s2028,s1154,s8209,s8253,s7058,s799,s1080,s6863,s4691,s879,s5334,s4002,s1113,s280,s6288,s6819,s73,s157,s4730,s5285,s6110,s1436,s629,s1156,s8477,s7162,s7151,s3750,s43,s8359,s13,s8493,s143,s22,s8502,s2363,s807,s8173]) ).

cnf(s8504,plain,
    ( ~ spl2_268
    | ~ spl2_105
    | ~ spl2_349
    | spl2_82
    | ~ spl2_24
    | ~ spl2_248
    | ~ spl2_16
    | spl2_61
    | spl2_26
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s6567,s1478,s1142,s7085,s2241,s8390,s7305,s4002,s8217,s5334,s106,s6856,s5758,s6126,s1974,s5892,s803,s5816,s43,s8359,s1156,s8477,s337,s1891,s1108,s6480]) ).

cnf(s8505,plain,
    ( ~ spl2_349
    | spl2_82
    | spl2_273
    | ~ spl2_24
    | ~ spl2_248
    | spl2_115
    | spl2_39
    | spl2_61
    | spl2_26
    | spl2_247
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s6408,s1289,s6117,s1026,s2132,s1410,s5899,s105,s3782,s1086,s4867,s8422,s7305,s8167,s8217,s5758,s73,s6819,s155,s8374,s1974,s6563,s6202,s7180,s8504,s4823,s6878,s6480,s43,s8359,s1156,s8477,s994,s143,s22,s2363,s337,s8173]) ).

cnf(s8506,plain,
    ( spl2_273
    | ~ spl2_248
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s6721,s6117,s1278,s6426,s1208,s2993,s6882,s3342,s1289,s1026,s1298,s5157,s7575,s6640,s1609,s4801,s7574,s6715,s1768,s8422,s280,s6819,s6202,s6570,s1480,s7180,s8209,s3660,s1793,s3276,s5758,s98,s3336,s6748,s1203,s6209,s7043,s7058,s5643,s799,s8505,s8503,s1156,s8477,s7162,s929,s3750,s43,s8359,s5890,s13,s994,s874,s8493,s143,s22,s8502,s2363,s8173]) ).

cnf(s8507,plain,
    ( ~ spl2_248
    | spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s6202,s1911,s7180,s6863,s5816,s73,s4730,s5285,s629,s7837,s1108,s1080,s6480,s4835,s799,s3543,s1052,s8436,s8506,s22,s8502,s8477,s3750,s43,s8359,s2363,s8493]) ).

cnf(s8508,plain,
    ( spl2_39
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s7204,s6411,s6947,s1287,s5637,s4981,s6382,s6960,s6117,s2439,s1142,s8394,s7570,s3276,s1972,s1108,s3197,s1625,s5816,s6708,s5024,s1342,s4196,s1974,s8425,s7180,s6077,s6069,s5629,s8217,s6728,s73,s157,s106,s5194,s2992,s6294,s6878,s807,s5643,s8436,s6081,s5649,s3321,s8507,s8493,s994,s2363,s43,s8359,s1156,s8477,s7162,s929,s1377,s5890,s13,s8173]) ).

cnf(s8509,plain,
    ( ~ spl2_349
    | spl2_288
    | spl2_363
    | ~ spl2_248
    | ~ spl2_39
    | spl2_61
    | spl2_26
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s3865,s1086,s4867,s8422,s8410,s8167,s7180,s5816,s5892,s5758,s73,s6863,s1108,s1080,s6480,s43,s8359,s8477,s1936,s3891,s6558,s4310,s8174,s8173]) ).

cnf(s8510,plain,
    ( ~ spl2_396
    | spl2_185
    | spl2_76
    | ~ spl2_39
    | ~ spl2_19 ),
    inference(rat,[],[s3865,s1086,s4867,s8422,s8410,s43,s8359,s8477,s1936,s3891,s8174]) ).

cnf(s8511,plain,
    ( ~ spl2_393
    | spl2_470
    | ~ spl2_314
    | ~ spl2_20
    | ~ spl2_277
    | ~ spl2_115
    | ~ spl2_24
    | ~ spl2_19 ),
    inference(rat,[],[s6382,s5936,s6411,s7575,s1287,s2766,s7085,s8173]) ).

cnf(s8512,plain,
    ( ~ spl2_395
    | ~ spl2_15
    | ~ spl2_314
    | ~ spl2_20
    | ~ spl2_277
    | spl2_494
    | ~ spl2_86
    | spl2_103
    | ~ spl2_115
    | ~ spl2_24
    | ~ spl2_19 ),
    inference(rat,[],[s6721,s6117,s1278,s6960,s1208,s8511,s1480,s1478,s1156,s8477]) ).

cnf(s8513,plain,
    ( ~ spl2_437
    | ~ spl2_314
    | ~ spl2_20
    | ~ spl2_277
    | spl2_494
    | spl2_349
    | ~ spl2_115
    | ~ spl2_24
    | ~ spl2_19 ),
    inference(rat,[],[s1479,s5936,s8511,s7575,s1208,s2355,s5990,s8477]) ).

cnf(s8515,plain,
    ( ~ spl2_255
    | ~ spl2_399
    | spl2_412
    | spl2_396
    | spl2_74
    | ~ spl2_116
    | ~ spl2_40
    | spl2_419
    | ~ spl2_39
    | ~ spl2_21 ),
    inference(rat,[],[s1295,s6760,s6122,s7029,s5970,s1248,s618,s1114,s903,s7587,s8173]) ).

cnf(s8516,plain,
    ( spl2_273
    | ~ spl2_115
    | ~ spl2_248
    | spl2_27
    | ~ spl2_39
    | spl2_61
    | spl2_26
    | spl2_247
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s6940,s1248,s6293,s4584,s1154,s7132,s6124,s3659,s1579,s6125,s3767,s2762,s8515,s1298,s4363,s5581,s6777,s2960,s6117,s6960,s8511,s1480,s1478,s1086,s8513,s1609,s7574,s6715,s1768,s8510,s280,s6819,s6563,s6570,s1893,s7180,s8217,s5758,s629,s6748,s2250,s7731,s3503,s7043,s1601,s7058,s5643,s799,s8509,s3389,s6642,s3032,s43,s8359,s1156,s8477,s929,s13,s3891,s23,s6558,s4310,s8174,s8173]) ).

cnf(s8517,plain,
    ( ~ spl2_115
    | ~ spl2_248
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s5542,s2028,s5640,s5636,s73,s6863,s6122,s695,s7708,s6654,s7950,s5034,s1248,s618,s4378,s1194,s2546,s2799,s6792,s6125,s3423,s2449,s1052,s8337,s1142,s7826,s3463,s295,s8510,s5816,s157,s2802,s1436,s621,s6881,s1108,s8490,s1080,s6480,s8491,s1872,s924,s8516,s8477,s7162,s7151,s8359,s929,s5890,s13,s3891,s23,s125,s7149,s6558,s8508,s4310,s8173,s8174]) ).

cnf(s8518,plain,
    ( spl2_273
    | spl2_268
    | spl2_115
    | ~ spl2_248
    | spl2_27
    | ~ spl2_39
    | spl2_61
    | spl2_26
    | spl2_247
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s4378,s1194,s1248,s4272,s6940,s6122,s6293,s5542,s1154,s7132,s6124,s4807,s6125,s3365,s3767,s2762,s1289,s8515,s1026,s1298,s5157,s7575,s6640,s1609,s4801,s7574,s2028,s6715,s1768,s8209,s6288,s8510,s1793,s280,s98,s6819,s1873,s73,s7043,s7058,s6570,s6447,s5643,s799,s8509,s4691,s6642,s807,s1156,s8477,s929,s3750,s43,s8359,s13,s3891,s23,s7180,s879,s6558,s4310,s8173,s8174]) ).

cnf(s8519,plain,
    ( ~ spl2_288
    | spl2_386
    | ~ spl2_292
    | ~ spl2_297
    | ~ spl2_411
    | spl2_579
    | ~ spl2_266
    | spl2_198
    | spl2_74
    | ~ spl2_273
    | ~ spl2_39
    | ~ spl2_21
    | spl2_247
    | ~ spl2_19 ),
    inference(rat,[],[s6634,s6635,s6127,s6122,s1569,s7708,s7075,s7950,s4429,s6442,s7280,s694,s3891]) ).

cnf(s8520,plain,
    ( spl2_268
    | ~ spl2_248
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s7708,s6122,s6293,s5542,s1154,s7573,s2028,s5625,s5636,s5758,s73,s6863,s8519,s1248,s4378,s1194,s6792,s3423,s2449,s1142,s2546,s7826,s8510,s6125,s157,s2802,s8337,s1436,s621,s7837,s1080,s6480,s4835,s799,s3543,s1052,s1957,s8436,s1872,s924,s8518,s8477,s7162,s7151,s929,s3750,s43,s8359,s5890,s13,s3891,s23,s125,s7149,s6558,s8508,s4310,s874,s8517,s8173,s8174]) ).

cnf(s8521,plain,
    ( ~ spl2_248
    | spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s5758,s5892,s1685,s5816,s799,s1972,s3543,s1750,s2440,s7731,s8520,s43,s8359,s8477,s7162,s4728,s6558,s8508,s4310,s8174,s8173]) ).

cnf(s8522,plain,
    ( ~ spl2_86
    | ~ spl2_456
    | spl2_474
    | spl2_64
    | spl2_82
    | spl2_598
    | ~ spl2_39
    | spl2_26
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s3118,s1025,s6960,s5551,s1273,s6560,s6974,s6117,s1142,s6777,s8510,s4362,s280,s7794,s43,s8359,s1156,s8477,s6819,s5892,s7162,s125,s7149,s6558,s4310,s8173,s8174]) ).

cnf(s8523,plain,
    ( ~ spl2_411
    | spl2_86
    | ~ spl2_456
    | spl2_82
    | spl2_598
    | ~ spl2_24
    | spl2_61
    | ~ spl2_21
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s3118,s1025,s6960,s5551,s1273,s2909,s6560,s6548,s6974,s6117,s6777,s4363,s5636,s43,s8359,s1156,s8477,s73,s8173]) ).

cnf(s8524,plain,
    ( spl2_26
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s1722,s6117,s1086,s6426,s3865,s1289,s8510,s4867,s8410,s1142,s8523,s8522,s3332,s6748,s694,s6442,s5892,s3446,s7713,s1169,s5580,s157,s2092,s3136,s3463,s4835,s8436,s807,s6294,s879,s5643,s7731,s6081,s5649,s3321,s8521,s6558,s3891,s1936,s8508,s5890,s13,s4310,s43,s8359,s1156,s8477,s7162,s929,s8173,s8174]) ).

cnf(s8525,plain,
    ( ~ spl2_115
    | ~ spl2_288
    | ~ spl2_39
    | ~ spl2_536
    | ~ spl2_6
    | spl2_116
    | ~ spl2_321
    | ~ spl2_19 ),
    inference(rat,[],[s430,s6563,s7731,s8490,s1052,s5643,s695,s1444,s3503,s1156,s8477,s6558,s4310,s8174,s8173]) ).

cnf(s8527,plain,
    ( ~ spl2_313
    | ~ spl2_411
    | ~ spl2_111
    | ~ spl2_110
    | spl2_112
    | ~ spl2_303
    | ~ spl2_19 ),
    inference(rat,[],[s5552,s2965,s6653,s8173]) ).

cnf(s8528,plain,
    ( ~ spl2_411
    | ~ spl2_76
    | spl2_185
    | ~ spl2_349
    | ~ spl2_111
    | ~ spl2_110
    | ~ spl2_24
    | spl2_112
    | ~ spl2_303
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s5552,s5899,s2507,s1086,s8448,s7574,s8527,s4202,s157,s1691,s8359,s8173]) ).

cnf(s8529,plain,
    ( ~ spl2_39
    | ~ spl2_536
    | ~ spl2_248
    | ~ spl2_78
    | spl2_112
    | ~ spl2_6
    | ~ spl2_26
    | ~ spl2_321
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s7305,s3118,s4867,s8410,s1142,s8528,s6643,s4823,s4330,s6480,s799,s7043,s807,s2811,s8525,s696,s5492,s1426,s6558,s3891,s1936,s4310,s43,s8477,s4202,s157,s1691,s885,s8359,s4777,s8173,s8174]) ).

cnf(s8530,plain,
    ( spl2_349
    | spl2_116
    | spl2_247
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s8436,s3503,s7043,s7058,s5643,s799,s43,s1156,s8477,s929,s4202,s157,s8359]) ).

cnf(s8531,plain,
    ( spl2_24
    | ~ spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s4770,s3271,s6804,s3247,s8173]) ).

cnf(s8532,plain,
    ( ~ spl2_248
    | ~ spl2_39
    | spl2_112
    | spl2_82
    | ~ spl2_6
    | ~ spl2_26
    | ~ spl2_321
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s8529,s6881,s337]) ).

cnf(s8533,plain,
    ( ~ spl2_395
    | spl2_185
    | ~ spl2_411
    | ~ spl2_456
    | ~ spl2_110
    | spl2_598
    | spl2_248
    | ~ spl2_349
    | spl2_82
    | ~ spl2_89 ),
    inference(rat,[],[s1273,s6960,s2965,s3217,s6117,s7574,s6777,s8448,s4363]) ).

cnf(s8534,plain,
    ( ~ spl2_399
    | ~ spl2_411
    | spl2_598
    | ~ spl2_24
    | spl2_82
    | ~ spl2_303
    | ~ spl2_63
    | ~ spl2_19 ),
    inference(rat,[],[s6974,s6560,s6777,s5552,s4362,s8173]) ).

cnf(s8535,plain,
    ( ~ spl2_411
    | ~ spl2_456
    | ~ spl2_39
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s1722,s8533,s6117,s1086,s6267,s5899,s1298,s8534,s1156,s4202,s7713,s3891,s8531,s4835,s8530,s6338,s8436,s807,s5191,s7552,s7731,s5649,s3321,s8532,s5194,s1436,s7151,s3,s157,s1691,s885,s4264,s8524,s7162,s8477,s929,s8359,s8173]) ).

cnf(s8536,plain,
    ( ~ spl2_396
    | spl2_598
    | ~ spl2_39
    | spl2_82
    | ~ spl2_19 ),
    inference(rat,[],[s6777,s4363,s6117,s1086,s6426,s3865,s1289,s4867,s8410,s43,s8359,s8477,s1936,s3891,s8174]) ).

cnf(s8537,plain,
    ( ~ spl2_39
    | spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s6748,s695,s3332,s5544,s8535,s8534,s1142,s8536,s4835,s8436,s807,s5191,s5649,s3321,s8532,s929,s7552,s3,s4264,s1436,s7151,s8359,s8477,s5194,s157,s8530,s1691,s885,s7162,s8531,s8524,s8173]) ).

cnf(s8538,plain,
    ( spl2_247
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s353,s229,s1974,s6708,s6856,s2363,s8537,s5300,s8531,s1436,s157,s1691,s1878,s223,s885,s8524,s1156,s8477,s7151,s8359,s8173]) ).

cnf(s8539,plain,
    ( spl2_26
    | ~ spl2_39
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s1479,s7574,s7085,s2965,s1208,s1142,s5583,s3303,s8510,s5551,s280,s7794,s6819,s73,s5892,s5893,s7713,s3,s4202,s7186,s157,s2811,s423,s7246,s924,s807,s4222,s13,s7162,s4264,s8359,s125,s7149,s879,s5813,s3100,s696,s7570,s3036,s4622,s3891,s8538,s6558,s4310,s8173,s8174]) ).

cnf(s8540,plain,
    ( ~ spl2_39
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s8534,s5544,s1142,s8536,s4835,s799,s2773,s353,s229,s73,s6563,s5893,s7186,s2921,s1436,s1426,s86,s223,s885,s8539,s7180,s5813,s3036,s3100,s4622,s6558,s3891,s4310,s8477,s7162,s7151,s8359,s8538,s8173,s8174]) ).

cnf(s8541,plain,
    ( ~ spl2_278
    | spl2_273
    | ~ spl2_24
    | ~ spl2_21
    | ~ spl2_247
    | ~ spl2_19 ),
    inference(rat,[],[s3032,s3389,s6583,s7994,s2673,s8173,s8174]) ).

cnf(s8542,plain,
    ( ~ spl2_115
    | spl2_273
    | ~ spl2_24
    | spl2_26
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s1410,s6117,s105,s6408,s4867,s1289,s1208,s1026,s2132,s5990,s5899,s3782,s1086,s8422,s8167,s7180,s5816,s6819,s5892,s8217,s5758,s73,s157,s6863,s5983,s3389,s1444,s3032,s43,s2340,s2363,s8540,s8359,s125,s7149,s6642,s6480,s1080,s799,s7046,s1052,s5069,s2635,s3321,s6712,s8541,s13,s1156,s8477,s1640,s7162,s8538,s8173]) ).

cnf(s8543,plain,
    ( spl2_273
    | ~ spl2_24
    | spl2_26
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s5816,s7180,s1974,s6563,s6856,s155,s2050,s4012,s874,s6868,s8542,s5069,s2635,s799,s3321,s7046,s6712,s1052,s8541,s1640,s1156,s8477,s7162,s8538,s2363,s8540,s13,s8173]) ).

cnf(s8544,plain,
    ( ~ spl2_24
    | spl2_26
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s3289,s3303,s3865,s1208,s1086,s4867,s8422,s8265,s6338,s2977,s280,s105,s904,s1052,s6819,s106,s1824,s1444,s1974,s6708,s1436,s3,s6856,s155,s5300,s157,s2811,s423,s928,s1872,s924,s8543,s125,s22,s7149,s43,s1156,s8477,s4264,s7151,s8359,s8538,s2363,s8540,s8173]) ).

cnf(s8545,plain,
    ( spl2_349
    | ~ spl2_115
    | spl2_273
    | ~ spl2_49
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s6123,s105,s3453,s5024,s2250,s3535,s7973,s1893,s2092,s7994,s621,s1169,s1052,s1604,s7043,s7046,s799,s8477,s8538,s2340,s2363,s8540,s8359,s807,s1640,s7162]) ).

cnf(s8546,plain,
    ( spl2_288
    | spl2_396
    | spl2_312
    | spl2_185
    | ~ spl2_248
    | spl2_649
    | spl2_363
    | spl2_61
    | ~ spl2_19 ),
    inference(rat,[],[s8167,s7180,s73,s5496,s6863,s7570]) ).

cnf(s8547,plain,
    ( spl2_396
    | ~ spl2_248
    | spl2_649
    | ~ spl2_116
    | ~ spl2_349
    | spl2_273
    | ~ spl2_21
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s1974,s4141,s5816,s1026,s2132,s7180,s6649,s6647,s7980,s8546,s1142,s1156,s8477,s2340,s2363,s8540,s8359,s6642,s1461,s6480,s1080,s5069,s2635,s8538,s8173]) ).

cnf(s8548,plain,
    ( spl2_288
    | ~ spl2_248
    | ~ spl2_116
    | ~ spl2_115
    | spl2_273
    | spl2_26
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s1026,s2132,s1289,s1971,s6441,s8481,s2204,s4450,s5629,s6077,s7180,s7574,s73,s1052,s5496,s4199,s6863,s7994,s7570,s2340,s2363,s8540,s8359,s3271,s807,s6642,s1080,s1308,s1668,s8538,s4991,s8547,s8545,s3247,s13,s4817,s8544,s8173]) ).

cnf(s8549,plain,
    ( spl2_255
    | spl2_417
    | ~ spl2_395
    | ~ spl2_473
    | ~ spl2_525
    | spl2_74
    | spl2_15
    | ~ spl2_179
    | ~ spl2_433
    | ~ spl2_16 ),
    inference(rat,[],[s6122,s6057,s5542,s4525,s7122,s2253,s2447,s6507]) ).

cnf(s8550,plain,
    ( ~ spl2_255
    | spl2_74
    | ~ spl2_116
    | ~ spl2_115
    | spl2_273
    | ~ spl2_247 ),
    inference(rat,[],[s618,s903,s8070,s1461,s8173]) ).

cnf(s8551,plain,
    ( ~ spl2_248
    | ~ spl2_116
    | ~ spl2_115
    | spl2_273
    | spl2_26
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s6057,s6122,s1289,s4371,s1026,s2132,s1298,s5581,s8478,s5586,s4347,s4584,s618,s5034,s2799,s6125,s8354,s4502,s4525,s7122,s2253,s2447,s6507,s8550,s6126,s54,s1905,s1974,s1750,s803,s5816,s1685,s7180,s73,s9,s6647,s5629,s7980,s8548,s4991,s2748,s8547,s5069,s6480,s2635,s43,s8359,s1156,s8477,s8538,s2363,s8540,s13,s8545,s3247,s3601,s1461,s4817,s8544,s8173]) ).

cnf(s8552,plain,
    ( ~ spl2_116
    | ~ spl2_115
    | spl2_273
    | spl2_26
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s5892,s1658,s1893,s1169,s8487,s5289,s2092,s3321,s8551,s7162,s8544,s6642,s13,s3032]) ).

cnf(s8553,plain,
    ( spl2_116
    | spl2_26
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s6242,s4324,s6819,s138,s4868,s5892,s5629,s7552,s4202,s155,s157,s8359,s7162,s8540,s13,s8544,s8173]) ).

cnf(s8554,plain,
    ( spl2_26
    | spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s8552,s420,s8097,s3100,s1461,s8553,s8538,s8173]) ).

cnf(s8555,plain,
    ( spl2_73
    | ~ spl2_19 ),
    inference(rat,[],[s353,s229,s1974,s6708,s1436,s6856,s5300,s157,s1691,s8531,s1878,s223,s885,s8554,s2363,s8540,s7151,s8359,s1156,s8477,s8173]) ).

cnf(s8556,plain,
    ( spl2_349
    | ~ spl2_115
    | ~ spl2_39
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s906,s1154,s3497,s6940,s7760,s6124,s3659,s1579,s6125,s6650,s1248,s618,s6819,s7728,s2773,s6579,s3970,s879,s7180,s629,s7576,s6748,s7731,s1601,s1602,s7058,s5643,s799,s43,s1156,s8477,s7253,s8359,s295,s6109,s8555,s3136,s144,s23,s929,s7812,s6558,s4310,s807,s1461,s13,s8173,s8174]) ).

cnf(s8558,plain,
    ( spl2_389
    | spl2_477
    | ~ spl2_437
    | ~ spl2_314
    | ~ spl2_20
    | ~ spl2_277
    | ~ spl2_115
    | spl2_247
    | ~ spl2_24
    | ~ spl2_19 ),
    inference(rat,[],[s5936,s1479,s7575,s8511,s3365,s3865,s1289,s43,s8359,s8477]) ).

cnf(s8559,plain,
    ( spl2_284
    | ~ spl2_278
    | spl2_662
    | spl2_112
    | spl2_185
    | ~ spl2_349
    | spl2_247
    | ~ spl2_24
    | ~ spl2_39
    | spl2_419
    | spl2_273
    | spl2_74
    | ~ spl2_89 ),
    inference(rat,[],[s7760,s6124,s3497,s4807,s8354,s6125,s6650,s618,s807]) ).

cnf(s8560,plain,
    ( ~ spl2_284
    | ~ spl2_598
    | ~ spl2_116
    | ~ spl2_19 ),
    inference(rat,[],[s1663,s5650,s4584,s903,s4378,s43,s8359,s8477,s8173,s8174]) ).

cnf(s8561,plain,
    ( ~ spl2_292
    | ~ spl2_261
    | ~ spl2_265
    | spl2_284
    | ~ spl2_24
    | ~ spl2_21
    | ~ spl2_19 ),
    inference(rat,[],[s4482,s4863,s6285,s7075,s6379,s3395,s876,s8173]) ).

cnf(s8562,plain,
    ( spl2_284
    | spl2_112
    | ~ spl2_60
    | spl2_185
    | ~ spl2_349
    | ~ spl2_39
    | spl2_419
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s5490,s7587,s6980,s5650,s1194,s8561,s6124,s7760,s3497,s7573,s8354,s6125,s6650,s618,s43,s8359,s1156,s8477,s6109,s8555,s7812,s6558,s4310,s807,s13,s8174,s8173]) ).

cnf(s8563,plain,
    ( ~ spl2_248
    | spl2_76
    | ~ spl2_115
    | ~ spl2_39
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s6274,s4385,s6127,s1194,s4388,s5516,s4378,s8562,s1620,s7084,s6411,s7575,s1329,s5157,s1298,s7753,s8558,s3782,s1086,s8448,s7574,s6715,s6563,s879,s7180,s73,s1768,s1142,s5816,s6863,s8510,s1108,s1080,s6480,s43,s1156,s8477,s6642,s1512,s7253,s8359,s295,s6109,s8555,s3136,s144,s23,s929,s7812,s6558,s4310,s807,s1461,s13,s8556,s8173,s8174]) ).

cnf(s8564,plain,
    ( spl2_76
    | ~ spl2_115
    | ~ spl2_39
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s1663,s5650,s4042,s903,s4378,s8559,s5215,s8558,s3782,s1086,s8448,s7574,s6715,s6563,s8510,s879,s7180,s3970,s7731,s6579,s337,s6712,s5580,s3321,s8563,s1156,s8477,s6109,s8555,s6642,s3750,s43,s8359,s3136,s7812,s6558,s4310,s807,s1461,s13,s8556,s8173,s8174]) ).

cnf(s8565,plain,
    ( ~ spl2_248
    | spl2_268
    | ~ spl2_115
    | ~ spl2_39
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s6720,s906,s6125,s2393,s1154,s8354,s6881,s7111,s4330,s6400,s8560,s5516,s4378,s8562,s73,s6863,s1080,s6480,s43,s1156,s8477,s6642,s1512,s7253,s8359,s295,s6109,s8555,s3136,s144,s23,s929,s7812,s807,s1461,s13,s8556,s7180,s879,s6558,s4310,s8173,s8174]) ).

cnf(s8566,plain,
    ( ~ spl2_284
    | spl2_82
    | ~ spl2_116
    | ~ spl2_19 ),
    inference(rat,[],[s1663,s5650,s4042,s903,s4378,s43,s8359,s8477,s337,s6579,s8555,s8173,s8174]) ).

cnf(s8567,plain,
    ( spl2_268
    | ~ spl2_115
    | ~ spl2_39
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s7760,s6124,s3497,s3659,s8354,s1579,s6125,s6650,s618,s8566,s3970,s6748,s337,s6712,s5580,s3321,s8565,s879,s1156,s8477,s3750,s43,s7253,s8359,s295,s6109,s8555,s3136,s144,s23,s929,s7812,s6558,s4310,s807,s1461,s13,s8556,s8173,s8174]) ).

cnf(s8568,plain,
    ( ~ spl2_295
    | spl2_185
    | spl2_461
    | ~ spl2_297
    | spl2_278
    | ~ spl2_349
    | ~ spl2_608
    | spl2_74
    | spl2_103 ),
    inference(rat,[],[s3437,s1194,s7044,s6792,s4431,s6125,s8354,s8173]) ).

cnf(s8569,plain,
    ( ~ spl2_115
    | ~ spl2_39
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s6122,s4523,s7708,s6641,s6127,s1569,s5563,s7950,s5650,s7129,s3497,s7573,s8568,s1248,s7293,s8566,s6579,s337,s2393,s803,s1108,s6480,s3321,s73,s3423,s2449,s1142,s6712,s1685,s8415,s8295,s7731,s4196,s8567,s1644,s8564,s2212,s8556,s7253,s3136,s1156,s8477,s4019,s6109,s8555,s295,s3885,s929,s3750,s7812,s807,s1461,s13,s43,s8359,s144,s23,s6558,s4310,s8173,s8174]) ).

cnf(s8571,plain,
    ( ~ spl2_399
    | ~ spl2_635
    | ~ spl2_78
    | ~ spl2_278
    | spl2_349
    | spl2_115
    | spl2_346
    | ~ spl2_116
    | ~ spl2_58 ),
    inference(rat,[],[s8218,s3118,s7475,s1026,s2132,s8173]) ).

cnf(s8572,plain,
    ( spl2_82
    | spl2_349
    | ~ spl2_39
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s7044,s3437,s1740,s7024,s6122,s1208,s4317,s6383,s2018,s4867,s8410,s1768,s7726,s8571,s2449,s7587,s3497,s6940,s7760,s6124,s4807,s6125,s6650,s1248,s618,s8566,s6579,s337,s4019,s6109,s8555,s1936,s4728,s3750,s6288,s8569,s3321,s6081,s5643,s1156,s929,s879,s7731,s7058,s799,s43,s8359,s8477,s7812,s807,s1461,s13,s6558,s4310,s8173,s8174]) ).

cnf(s8573,plain,
    ( spl2_396
    | ~ spl2_284
    | spl2_112
    | ~ spl2_277
    | ~ spl2_248
    | spl2_115
    | spl2_247
    | ~ spl2_24
    | ~ spl2_116
    | spl2_363
    | spl2_273
    | spl2_74
    | ~ spl2_73 ),
    inference(rat,[],[s3365,s7575,s4272,s6640,s6122,s1289,s4802,s4371,s3451,s1026,s2132,s7574,s7726,s6715,s1768,s295,s1194,s4378,s8173,s8174]) ).

cnf(s8574,plain,
    ( spl2_185
    | spl2_349
    | ~ spl2_39
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s5542,s2028,s6122,s8218,s4279,s3118,s4867,s8410,s8573,s2449,s903,s4378,s1248,s6940,s906,s1154,s6642,s1936,s3321,s6081,s5643,s929,s6124,s4804,s8253,s1156,s3750,s6288,s8569,s5611,s94,s8572,s6563,s7180,s4691,s879,s7731,s7058,s799,s43,s8359,s8477,s7812,s6558,s4310,s807,s1461,s13,s6109,s8555,s8173,s8174]) ).

cnf(s8575,plain,
    ( ~ spl2_399
    | ~ spl2_60
    | ~ spl2_185
    | ~ spl2_82
    | ~ spl2_278
    | spl2_349
    | spl2_115
    | spl2_346
    | ~ spl2_637
    | ~ spl2_116
    | ~ spl2_19 ),
    inference(rat,[],[s7085,s6960,s5588,s6117,s1722,s8218,s3118,s1477,s1026,s2132,s43,s8359,s1156,s8477,s1203,s874,s8173]) ).

cnf(s8576,plain,
    ( spl2_349
    | ~ spl2_39
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s6117,s6426,s1289,s1722,s4867,s8410,s6436,s1768,s7726,s8575,s73,s280,s8574,s94,s8572,s6563,s879,s7180,s3321,s7731,s6081,s7058,s5643,s799,s1156,s8477,s6109,s8555,s1936,s3885,s929,s3750,s7812,s6558,s4310,s807,s1461,s13,s43,s8359,s8569,s8173,s8174]) ).

cnf(s8577,plain,
    ( ~ spl2_284
    | ~ spl2_248
    | spl2_278
    | spl2_115
    | ~ spl2_321
    | ~ spl2_116
    | spl2_74
    | ~ spl2_73 ),
    inference(rat,[],[s3423,s7332,s903,s4378,s8173,s8174]) ).

cnf(s8578,plain,
    ( spl2_112
    | spl2_284
    | ~ spl2_248
    | ~ spl2_349
    | ~ spl2_39
    | spl2_419
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s73,s6863,s8562,s4691,s807,s6480,s1080]) ).

cnf(s8579,plain,
    ( ~ spl2_39
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s4609,s7575,s1102,s3365,s2507,s1289,s3782,s1086,s4055,s4056,s1730,s6117,s6548,s4257,s7293,s4823,s6579,s337,s2393,s73,s1142,s803,s5334,s5816,s8295,s879,s8578,s8577,s1108,s6480,s3321,s6712,s2992,s6878,s8576,s8569,s3750,s929,s7812,s4712,s6558,s4310,s43,s8359,s1156,s8477,s4019,s13,s6109,s8555,s807,s1461,s8173,s8174]) ).

cnf(s8580,plain,
    ( ~ spl2_115
    | spl2_247
    | ~ spl2_38
    | ~ spl2_24
    | ~ spl2_16
    | spl2_198
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s1974,s5816,s6077,s1108,s73,s6480,s1685,s3321,s799,s6712,s3543,s5024,s3197,s1750,s4196,s2376,s7570,s7187,s7253,s3136,s1156,s8477,s13,s6109,s8555,s143,s929,s3750,s43,s8359]) ).

cnf(s8581,plain,
    ( spl2_396
    | spl2_349
    | spl2_247
    | ~ spl2_24
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s4725,s1109,s2445,s6579,s6940,s5006,s4040,s6124,s8218,s4807,s3118,s6125,s1335,s1026,s2132,s6650,s1248,s618,s7574,s7726,s8573,s6715,s1768,s6109,s8555,s807,s6642,s13,s3750,s874,s6288,s8580,s295,s3321,s6081,s879,s1113,s6819,s6570,s7180,s143,s22,s73,s7052,s4818,s3276,s3336,s865,s7570,s6209,s5643,s1156,s929,s7058,s43,s8477,s799,s2340,s2363,s8579,s8359,s8173]) ).

cnf(s8582,plain,
    ( spl2_349
    | spl2_247
    | ~ spl2_24
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s7283,s6883,s1278,s1086,s4922,s1208,s8422,s4867,s8581,s105,s280,s6819,s73,s6570,s6202,s7052,s7180,s4818,s865,s3276,s7570,s3336,s6209,s7058,s5643,s799,s43,s1156,s8477,s4019,s8555,s2340,s8359,s143,s22,s2363,s8579,s929,s8173]) ).

cnf(s8583,plain,
    ( spl2_268
    | spl2_312
    | spl2_185
    | spl2_278
    | spl2_423
    | spl2_247
    | spl2_27
    | ~ spl2_24
    | ~ spl2_16
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s8401,s4867,s8167,s105,s73,s6819,s6863,s1974,s4691,s6202,s879,s7180,s4019,s8555,s807,s6642,s13,s2340,s3321,s6712,s1156,s8477,s3750,s43,s8359,s8173]) ).

cnf(s8584,plain,
    ( spl2_396
    | ~ spl2_617
    | ~ spl2_86
    | ~ spl2_525
    | ~ spl2_76
    | spl2_185
    | ~ spl2_362
    | ~ spl2_349
    | ~ spl2_24
    | spl2_61
    | ~ spl2_116
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s6947,s5618,s7574,s2960,s7085,s1480,s8448,s1478,s8479,s6189,s1768,s1142,s43,s8359,s4019,s8555,s8173]) ).

cnf(s8585,plain,
    ( spl2_247
    | ~ spl2_24
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s6411,s6382,s1853,s3990,s7575,s6640,s4802,s7574,s5953,s1298,s7753,s3118,s8390,s2241,s8584,s6418,s6442,s4222,s694,s4002,s6863,s5334,s73,s4823,s6077,s6126,s7157,s1974,s803,s5816,s4196,s8583,s1108,s1080,s6480,s3321,s6712,s1052,s2992,s6878,s8582,s8580,s8400,s3750,s929,s43,s1156,s8477,s4019,s6109,s8555,s807,s1461,s295,s2340,s8359,s6880,s143,s22,s2363,s8579,s8173]) ).

cnf(s8586,plain,
    ( spl2_268
    | spl2_349
    | spl2_288
    | spl2_278
    | ~ spl2_115
    | ~ spl2_247
    | spl2_27
    | ~ spl2_24
    | ~ spl2_16
    | spl2_419
    | spl2_363
    | spl2_273
    | ~ spl2_19 ),
    inference(rat,[],[s1086,s8512,s8513,s4141,s3118,s7875,s7574,s6715,s1142,s8023,s105,s1113,s6819,s73,s2773,s6563,s7052,s7180,s43,s4019,s8555,s2340,s8359,s1668,s799,s8173]) ).

cnf(s8587,plain,
    ( spl2_396
    | ~ spl2_635
    | ~ spl2_78
    | spl2_86
    | ~ spl2_268
    | spl2_245
    | ~ spl2_24
    | spl2_61
    | spl2_273
    | spl2_26 ),
    inference(rat,[],[s5955,s5270,s7575,s6548,s5157,s5581,s2909,s1298,s7475,s5636,s1768,s1142,s13,s73]) ).

cnf(s8588,plain,
    ( spl2_349
    | ~ spl2_24
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s8401,s3431,s4867,s8422,s8587,s3970,s6579,s337,s1974,s5285,s6077,s73,s6863,s3197,s2338,s4196,s8586,s6696,s799,s6642,s2340,s143,s22,s2363,s8579,s578,s7486,s777,s4006,s4007,s4019,s8555,s4097,s8541,s43,s8359,s1156,s8477,s7570,s3389,s3032,s8097,s8585,s1461,s13,s8173]) ).

cnf(s8589,plain,
    ( ~ spl2_248
    | spl2_112
    | ~ spl2_277
    | ~ spl2_349
    | spl2_288
    | spl2_469
    | spl2_27
    | ~ spl2_16
    | ~ spl2_116
    | spl2_363
    | ~ spl2_111
    | ~ spl2_19 ),
    inference(rat,[],[s1026,s2132,s3865,s6653,s4867,s7574,s105,s4199,s1086,s6819,s1308,s8422,s1974,s8167,s6077,s73,s6863,s1080,s6480,s43,s1156,s8477,s4019,s8555,s2340,s8359,s8173]) ).

cnf(s8590,plain,
    ( spl2_268
    | ~ spl2_349
    | spl2_152
    | spl2_288
    | spl2_618
    | ~ spl2_362
    | spl2_255
    | ~ spl2_115
    | spl2_191
    | spl2_469
    | spl2_27
    | ~ spl2_24
    | ~ spl2_16
    | ~ spl2_116
    | spl2_363
    | spl2_273
    | spl2_74
    | ~ spl2_19 ),
    inference(rat,[],[s6650,s6125,s8566,s8354,s1695,s7573,s362,s6658,s221,s280,s6123,s1169,s6764,s6728,s5501,s2092,s3321,s8589,s6563,s879,s7180,s43,s8359,s807]) ).

cnf(s8591,plain,
    ( ~ spl2_24
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s1108,s3970,s5816,s337,s1974,s5285,s6077,s73,s1685,s8590,s2212,s8588,s6745,s3389,s3907,s3540,s1052,s8550,s3032,s8541,s8097,s7150,s1668,s8585,s143,s22,s43,s8359,s1156,s8477,s6109,s8555,s6642,s13,s1461,s787,s2363,s8579,s8173]) ).

cnf(s8592,plain,
    ( spl2_349
    | ~ spl2_321
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s4324,s6242,s73,s8373,s6647,s7052,s7973,s7180,s5496,s7570,s6209,s5643,s799,s1156,s8477,s13,s6109,s8555,s2340,s2363,s8579,s8359,s3247,s4817,s8591,s8173]) ).

cnf(s8593,plain,
    ( ~ spl2_277
    | spl2_247
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s1278,s1208,s4991,s4867,s8167,s6480,s3321,s6256,s73,s4324,s105,s6242,s6819,s141,s1974,s774,s6202,s6647,s1156,s8477,s6642,s13,s4006,s4007,s4019,s8555,s2340,s2363,s8579,s8359,s4817,s8591,s8592,s929,s8173]) ).

cnf(s8594,plain,
    ( ~ spl2_115
    | spl2_247
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s7772,s6122,s7122,s5301,s8354,s1298,s6125,s7753,s2799,s6564,s2160,s1086,s5034,s2253,s4991,s8448,s2447,s1142,s7574,s6654,s618,s7974,s4450,s8566,s6579,s337,s8480,s8482,s7186,s13,s1461,s2340,s1511,s4265,s6126,s803,s6109,s6480,s4002,s5334,s4497,s6442,s694,s7570,s5496,s4817,s43,s73,s6077,s1974,s5816,s1972,s2438,s3247,s8591,s8555,s7180,s8593,s8592,s929,s1156,s8477,s8359,s2363,s8579,s8173]) ).

cnf(s8595,plain,
    ( spl2_247
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s7486,s8496,s779,s337,s4823,s8594,s4257,s4497,s6442,s694,s5816,s7570,s1972,s2756,s5496,s7180,s8593,s8592,s929,s43,s2340,s2363,s8579,s8359,s4817,s2438,s3247,s8591,s8555]) ).

cnf(s8596,plain,
    ( spl2_268
    | spl2_349
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s6242,s4324,s8373,s73,s6647,s7052,s7973,s7180,s13,s6109,s8555,s2340,s2363,s8579,s8359,s3247,s8591,s799,s8173]) ).

cnf(s8598,plain,
    ( ~ spl2_389
    | ~ spl2_433
    | ~ spl2_624
    | ~ spl2_247
    | ~ spl2_116 ),
    inference(rat,[],[s5953,s1298,s7574,s7753,s7875,s1461,s8173]) ).

cnf(s8599,plain,
    ( spl2_349
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s2018,s8549,s4624,s2028,s1086,s2160,s1289,s8598,s4991,s73,s1142,s6077,s7974,s1974,s6126,s1658,s105,s5024,s3970,s3540,s6579,s337,s6440,s3441,s6418,s694,s7186,s7570,s5496,s8596,s43,s1156,s8477,s4019,s13,s2340,s2363,s8579,s8359,s4817,s8591,s8550,s8097,s1461,s6109,s8555,s8595,s8173]) ).

cnf(s8600,plain,
    ( spl2_396
    | spl2_185
    | spl2_27
    | ~ spl2_277
    | ~ spl2_349
    | spl2_24
    | spl2_61
    | spl2_363
    | ~ spl2_19 ),
    inference(rat,[],[s6819,s6242,s6567,s4324,s8448,s73,s7574,s8167,s6715,s1142,s8173]) ).

cnf(s8601,plain,
    ( ~ spl2_396
    | ~ spl2_362
    | spl2_288
    | ~ spl2_115
    | spl2_469
    | spl2_649
    | spl2_39
    | ~ spl2_116
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s1026,s2132,s1289,s1298,s6441,s5581,s2204,s4450,s7574,s4199,s1308,s4991,s8173]) ).

cnf(s8602,plain,
    ( ~ spl2_277
    | ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s280,s8373,s6728,s337,s3321,s3970,s6480,s8600,s8601,s1052,s7994,s141,s7980,s774,s6647,s6642,s13,s4006,s4007,s4019,s8555,s2340,s2363,s8579,s8359,s4817,s8591,s1668,s8097,s8595,s1461,s8599,s8173]) ).

cnf(s8603,plain,
    ( ~ spl2_116
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s5034,s2799,s618,s6125,s5516,s4821,s4502,s7122,s2253,s2447,s1750,s1685,s6331,s73,s6507,s6077,s6126,s1974,s803,s5816,s1972,s7180,s8602,s8599,s8550,s8097,s8595,s2438,s3247,s8591,s2363,s8579,s1512,s295,s1461,s43,s8359,s1156,s8477,s6109,s8555,s8173]) ).

cnf(s8604,plain,
    ( spl2_349
    | ~ spl2_113
    | spl2_247
    | ~ spl2_24
    | spl2_116
    | spl2_273
    | ~ spl2_19 ),
    inference(rat,[],[s8218,s3118,s7475,s1025,s7726,s7713,s3891,s155,s6563,s7180,s4818,s3321,s8240,s6081,s3503,s7058,s5643,s799,s807,s929,s3750,s43,s8359,s5194,s337,s5566,s6579,s1429,s2115,s1156,s8477,s157,s8555,s8173]) ).

cnf(s8605,plain,
    ( spl2_396
    | ~ spl2_278
    | ~ spl2_115
    | ~ spl2_39
    | ~ spl2_277
    | ~ spl2_349
    | spl2_132
    | ~ spl2_635
    | ~ spl2_23
    | ~ spl2_78
    | spl2_112
    | spl2_247
    | ~ spl2_40
    | ~ spl2_24
    | spl2_363
    | spl2_273
    | spl2_74
    | ~ spl2_19 ),
    inference(rat,[],[s6400,s4381,s7111,s1102,s4042,s5516,s1329,s8559,s1298,s5215,s1025,s8558,s3782,s1086,s1609,s8448,s7574,s6715,s1142,s43,s8359,s1156,s8477,s3970,s8555,s6563,s3891,s8173]) ).

cnf(s8606,plain,
    ( ~ spl2_395
    | ~ spl2_349
    | spl2_185
    | ~ spl2_635
    | ~ spl2_78
    | spl2_112
    | ~ spl2_111 ),
    inference(rat,[],[s6653,s7574,s7475,s8448]) ).

cnf(s8607,plain,
    ( ~ spl2_396
    | ~ spl2_39
    | ~ spl2_437
    | ~ spl2_19 ),
    inference(rat,[],[s3865,s4867,s8410,s43,s8359,s8477,s1936,s3891,s8174]) ).

cnf(s8608,plain,
    ( ~ spl2_115
    | ~ spl2_39
    | ~ spl2_277
    | ~ spl2_349
    | spl2_132
    | ~ spl2_635
    | ~ spl2_23
    | ~ spl2_78
    | ~ spl2_6
    | spl2_112
    | spl2_247
    | ~ spl2_40
    | ~ spl2_24
    | spl2_363
    | spl2_273
    | spl2_74
    | ~ spl2_19 ),
    inference(rat,[],[s1052,s8605,s1444,s8607,s1086,s8606,s3970,s8555,s807]) ).

cnf(s8609,plain,
    ( ~ spl2_277
    | ~ spl2_349
    | spl2_247
    | ~ spl2_40
    | ~ spl2_24
    | spl2_116
    | spl2_363
    | spl2_273
    | spl2_74
    | ~ spl2_19 ),
    inference(rat,[],[s1025,s1289,s7726,s6408,s3321,s6117,s5649,s1730,s2992,s1335,s4823,s6878,s874,s8608,s7574,s6715,s8607,s7713,s3891,s155,s6563,s8359,s4019,s929,s3,s4266,s5566,s1512,s5568,s1086,s3782,s8606,s3970,s6579,s8555,s337,s1429,s2115,s5194,s157,s807,s1156,s8477,s8173]) ).

cnf(s8610,plain,
    ( spl2_247
    | ~ spl2_24
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s2762,s7998,s3451,s3596,s7726,s8578,s7713,s3891,s3321,s1444,s2363,s5649,s1052,s6856,s5024,s1974,s3197,s5816,s4196,s7180,s8609,s1108,s8604,s865,s3970,s7570,s5568,s6579,s5566,s337,s4691,s1429,s3,s5194,s2115,s4266,s929,s43,s8359,s1156,s8477,s6109,s8555,s807,s6642,s13,s157,s8603,s23,s8173]) ).

cnf(s8611,plain,
    ( ~ spl2_347
    | spl2_278
    | ~ spl2_247
    | ~ spl2_8
    | ~ spl2_19 ),
    inference(rat,[],[s8204,s6583,s6696,s3534,s8555,s4097,s43,s8359,s1156,s8477]) ).

cnf(s8612,plain,
    ( ~ spl2_39
    | ~ spl2_247
    | ~ spl2_24
    | ~ spl2_111
    | ~ spl2_21
    | ~ spl2_19 ),
    inference(rat,[],[s7812,s3891]) ).

cnf(s8613,plain,
    ( ~ spl2_24
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s1108,s5816,s3970,s7180,s337,s1974,s6563,s1429,s6856,s155,s2788,s2363,s8612,s799,s8611,s8541,s8610,s1156,s8477,s8555,s13,s807,s157,s8603]) ).

cnf(s8614,plain,
    ( ~ spl2_433
    | ~ spl2_525
    | spl2_419
    | ~ spl2_247
    | ~ spl2_624
    | ~ spl2_635
    | ~ spl2_23
    | ~ spl2_78
    | ~ spl2_8
    | spl2_26 ),
    inference(rat,[],[s1086,s2160,s7475,s1025,s1298,s7999]) ).

cnf(s8615,plain,
    ( spl2_349
    | spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s8387,s3096,s8614,s5154,s4355,s73,s1142,s6077,s7974,s1974,s6126,s1658,s105,s5024,s2977,s8611,s799,s2636,s43,s4019,s6109,s2340,s11,s8359,s337,s5566,s6579,s1429,s2788,s1156,s8477,s8555,s6418,s694,s5194,s4222,s7570,s5296,s4327,s7180,s6647,s155,s6558,s4310,s13,s8613,s807,s157,s8603,s8173,s8174]) ).

cnf(s8616,plain,
    ( spl2_273
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s8204,s3321,s6583,s6791,s8283,s2977,s8614,s2241,s1750,s1685,s73,s1142,s6077,s6723,s6126,s7974,s1974,s803,s5816,s8615,s5194,s6418,s4222,s694,s7570,s5296,s1972,s4327,s7180,s6579,s5566,s337,s6647,s1429,s2340,s155,s2788,s2438,s11,s6558,s3247,s8613,s157,s8603,s807,s4310,s43,s8359,s1156,s8477,s13,s6109,s8555,s8173,s8174]) ).

cnf(s8617,plain,
    ( ~ spl2_116
    | ~ spl2_321
    | ~ spl2_273
    | ~ spl2_19 ),
    inference(rat,[],[s3321,s5649,s8215,s3463,s295,s8359,s8477,s8555,s8173,s8174]) ).

cnf(s8618,plain,
    ( spl2_349
    | spl2_247
    | ~ spl2_273
    | ~ spl2_19 ),
    inference(rat,[],[s8436,s7058,s8491,s799,s43,s8359,s8477]) ).

cnf(s8619,plain,
    ( spl2_389
    | ~ spl2_411
    | ~ spl2_110
    | spl2_185
    | ~ spl2_118
    | ~ spl2_124
    | ~ spl2_198
    | ~ spl2_349 ),
    inference(rat,[],[s8448,s1086,s7574,s3046,s2965,s5550,s2198,s1289]) ).

cnf(s8620,plain,
    ( spl2_400
    | ~ spl2_389
    | ~ spl2_456
    | ~ spl2_322
    | ~ spl2_273 ),
    inference(rat,[],[s1842,s7575,s1208,s1546,s1273,s7084,s924,s8173]) ).

cnf(s8621,plain,
    ( ~ spl2_411
    | ~ spl2_553
    | spl2_419
    | ~ spl2_39
    | spl2_253
    | ~ spl2_40
    | ~ spl2_110
    | spl2_185
    | ~ spl2_322
    | ~ spl2_118
    | ~ spl2_120
    | ~ spl2_124
    | ~ spl2_198
    | ~ spl2_349
    | ~ spl2_321
    | ~ spl2_273
    | spl2_74 ),
    inference(rat,[],[s6124,s3659,s5517,s2529,s3166,s2696,s2996,s8471,s2747,s1025,s3517,s1298,s7574,s1329,s2965,s8620,s8619,s874,s1957,s3332,s8173]) ).

cnf(s8622,plain,
    ( ~ spl2_396
    | ~ spl2_39
    | ~ spl2_608
    | ~ spl2_118
    | ~ spl2_198
    | ~ spl2_349
    | ~ spl2_19 ),
    inference(rat,[],[s7204,s5288,s8448,s5550,s1086,s2198,s1289,s8607,s8410,s6480,s5580,s5568,s8555,s43,s8359,s3891]) ).

cnf(s8623,plain,
    ( spl2_255
    | spl2_278
    | spl2_253
    | spl2_185
    | ~ spl2_608
    | ~ spl2_120
    | ~ spl2_124
    | ~ spl2_198
    | ~ spl2_349
    | ~ spl2_321
    | spl2_74
    | spl2_103 ),
    inference(rat,[],[s7128,s3073,s8568,s2696,s3423,s2449]) ).

cnf(s8624,plain,
    ( ~ spl2_24
    | spl2_247
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s8471,s3289,s3596,s1248,s2140,s6122,s7772,s7587,s8623,s6748,s8621,s8619,s1142,s8622,s3891,s2787,s710,s144,s7486,s23,s777,s4019,s3064,s629,s1436,s1429,s1156,s8477,s3503,s694,s6442,s3446,s157,s6338,s803,s1108,s6480,s5580,s3136,s6126,s2772,s5568,s13,s8617,s929,s6109,s43,s8359,s874,s1957,s3229,s3445,s8618,s8555,s8616,s8173]) ).

cnf(s8625,plain,
    ( spl2_247
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s3247,s8624,s5179,s6126,s2772,s5568,s3229,s3445,s8618,s8617,s929,s43,s8359,s13,s6109,s8555,s8616]) ).

cnf(s8626,plain,
    ( ~ spl2_185
    | spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s73,s7528,s280,s6480,s7047,s6126,s2772,s6109,s1936,s7529,s4622,s3891,s2788,s1429,s5566,s1156,s8477,s157,s928,s924,s13,s2921,s7576,s4776,s423,s8625,s8616,s8555,s43,s8359,s8173,s8174]) ).

cnf(s8627,plain,
    ( spl2_26
    | ~ spl2_19 ),
    inference(rat,[],[s2246,s6125,s906,s8354,s1154,s8626,s6338,s7128,s3582,s5813,s2449,s7529,s7537,s3100,s7592,s4622,s3891,s6126,s2788,s1511,s7576,s2772,s1429,s1436,s629,s2921,s4776,s5566,s157,s423,s928,s8625,s924,s8616,s6109,s13,s43,s8359,s1156,s8477,s8555,s8173]) ).

cnf(s8628,plain,
    ( ~ spl2_347
    | spl2_273
    | ~ spl2_19 ),
    inference(rat,[],[s105,s5024,s6819,s7180,s126,s6563,s3404,s695,s6583,s7994,s2673,s8611,s4019,s8531,s2115,s1429,s5591,s8555,s1156,s8477,s157,s1691,s885,s8627,s8173,s8174]) ).

cnf(s8629,plain,
    ( ~ spl2_20
    | ~ spl2_115
    | ~ spl2_247
    | ~ spl2_19 ),
    inference(rat,[],[s3036,s4622,s3891,s7186,s155,s1691,s885,s8627,s8173]) ).

cnf(s8630,plain,
    ( spl2_39
    | ~ spl2_268
    | ~ spl2_349
    | ~ spl2_19 ),
    inference(rat,[],[s280,s1108,s73,s5816,s6819,s125,s5285,s4730,s7668,s22,s2363,s43,s8531,s157,s1691,s629,s5591,s885,s8627,s8555,s8359,s8173]) ).

cnf(s8631,plain,
    ( ~ spl2_268
    | spl2_273
    | ~ spl2_19 ),
    inference(rat,[],[s3100,s5813,s3891,s8630,s2115,s1429,s5591,s8555,s1156,s8477,s157,s1691,s885,s8627,s799,s8628,s8173]) ).

cnf(s8632,plain,
    ( spl2_273
    | ~ spl2_19 ),
    inference(rat,[],[s2921,s1426,s8629,s155,s6563,s7180,s8631,s2115,s8531,s1429,s5591,s8555,s1156,s8477,s157,s1691,s885,s8627,s8173]) ).

cnf(s8635,plain,
    ( spl2_74
    | ~ spl2_289
    | ~ spl2_389
    | ~ spl2_317
    | ~ spl2_411
    | spl2_23
    | spl2_419
    | ~ spl2_39
    | spl2_185
    | ~ spl2_608
    | ~ spl2_349 ),
    inference(rat,[],[s6125,s8354,s4431,s7127,s2449,s8471,s3289,s8173]) ).

cnf(s8636,plain,
    ( spl2_268
    | spl2_247
    | ~ spl2_19 ),
    inference(rat,[],[s1359,s1898,s6114,s8635,s3166,s2996,s758,s5509,s6819,s5571,s2148,s1086,s8448,s7574,s2965,s3289,s8619,s7576,s1142,s4776,s8622,s1426,s3891,s710,s125,s5426,s2284,s431,s6338,s3885,s8531,s629,s1429,s1156,s1961,s1436,s157,s1691,s8477,s560,s3064,s7388,s6480,s8618,s6479,s5580,s3136,s7385,s5591,s885,s8555,s43,s8359,s2679,s8632,s8627,s8173]) ).

cnf(s8637,plain,
    ( spl2_247
    | ~ spl2_19 ),
    inference(rat,[],[s5542,s2028,s6122,s1086,s7573,s5282,s2507,s5563,s4485,s5550,s2927,s7587,s5544,s8623,s94,s1888,s6060,s710,s4854,s1142,s5334,s2286,s1644,s8295,s7731,s1426,s4712,s3891,s5816,s803,s8630,s8636,s1108,s6480,s5580,s3136,s8618,s929,s43,s4019,s3885,s8531,s629,s8359,s1436,s5591,s157,s1691,s885,s8477,s7385,s3064,s7388,s8632,s8627,s8555,s8173]) ).

cnf(s8638,plain,
    ( spl2_74
    | spl2_185
    | ~ spl2_39
    | ~ spl2_347
    | ~ spl2_19 ),
    inference(rat,[],[s5282,s4485,s6122,s906,s5542,s1154,s7127,s7592,s6819,s126,s3582,s7586,s1511,s1436,s5591,s8477,s2028,s1086,s3050,s7875,s7574,s2965,s696,s2977,s7576,s4776,s423,s43,s8359,s5550,s5544,s1142,s8510,s3404,s7994,s8611,s157,s1691,s885,s8531,s8629,s8637,s7385,s7388,s8632,s8627,s8555,s8173]) ).

cnf(s8639,plain,
    ( ~ spl2_74
    | spl2_29
    | spl2_349 ),
    inference(rat,[],[s1898,s6106,s1868]) ).

cnf(s8640,plain,
    ( ~ spl2_411
    | ~ spl2_60
    | ~ spl2_185
    | ~ spl2_278
    | ~ spl2_19 ),
    inference(rat,[],[s7085,s6426,s5588,s6117,s1722,s1086,s3050,s1289,s1479,s7875,s7574,s2965,s5550,s5544,s8477,s5591,s885,s3885,s924,s7388,s8629,s7385,s7576,s4776,s423,s8632,s8555,s43,s8359,s2977,s696,s7994,s8637,s8531,s8627,s8173]) ).

cnf(s8641,plain,
    ( ~ spl2_39
    | spl2_349
    | ~ spl2_19 ),
    inference(rat,[],[s6117,s6426,s1289,s2439,s4867,s8410,s1142,s8640,s6331,s906,s4485,s5306,s73,s280,s3969,s7127,s8638,s7592,s3582,s7586,s1511,s1436,s5591,s8477,s8629,s7576,s4776,s423,s43,s8359,s2977,s105,s6819,s126,s3404,s7385,s8632,s4019,s8555,s8639,s3049,s696,s7994,s8611,s799,s157,s1691,s885,s8637,s8531,s8627,s8173]) ).

cnf(s8642,plain,
    ( spl2_349
    | ~ spl2_19 ),
    inference(rat,[],[s6883,s7283,s1086,s1278,s8422,s4922,s1208,s280,s4867,s73,s8265,s3902,s6856,s22,s2363,s8641,s105,s6819,s126,s3404,s696,s7994,s2977,s8611,s799,s43,s1156,s8477,s4019,s8531,s157,s1691,s7049,s5591,s885,s8359,s2630,s7388,s423,s8629,s8637,s7385,s8632,s8555,s8627,s8173]) ).

cnf(s8643,plain,
    ( ~ spl2_411
    | spl2_185
    | ~ spl2_39
    | ~ spl2_19 ),
    inference(rat,[],[s7204,s2965,s7875,s5550,s8619,s5544,s8531,s629,s8359,s1429,s5591,s1156,s8477,s157,s1691,s885,s7388,s8629,s8642,s6338,s5813,s3100,s3891,s8637,s7385,s8632,s8555,s8627,s8173]) ).

cnf(s8644,plain,
    ( spl2_74
    | spl2_185
    | ~ spl2_39
    | ~ spl2_19 ),
    inference(rat,[],[s4525,s2253,s6057,s7950,s6718,s4279,s6127,s6122,s4290,s6383,s2246,s6125,s8354,s7081,s7127,s2449,s7592,s7576,s43,s3166,s2996,s2223,s3445,s8642,s7199,s4776,s423,s3064,s7388,s7055,s8359,s6338,s5813,s3100,s2018,s4728,s5416,s5418,s7586,s1511,s1436,s5591,s157,s1691,s885,s8477,s8629,s8637,s7385,s8632,s8555,s8531,s8627,s1289,s8410,s3891,s1208,s4867,s1142,s8643,s1936,s8174,s8173]) ).

cnf(s8645,plain,
    ( spl2_185
    | ~ spl2_39
    | ~ spl2_19 ),
    inference(rat,[],[s1888,s8510,s8644,s1142,s8643,s3049,s7570,s3036,s4622,s8531,s6338,s5813,s3100,s3891,s8637,s7385,s8632,s8555,s8627]) ).

cnf(s8646,plain,
    ( ~ spl2_411
    | ~ spl2_39
    | ~ spl2_19 ),
    inference(rat,[],[s7085,s5567,s6426,s3118,s1289,s7875,s7574,s6117,s2965,s1722,s1478,s5550,s6189,s5544,s8477,s4019,s7388,s8629,s3110,s7570,s3036,s4622,s6819,s280,s73,s7528,s6480,s8642,s1936,s7047,s43,s8359,s1691,s5591,s885,s8645,s125,s2284,s6338,s5813,s3100,s3891,s8637,s7385,s8632,s8555,s8531,s8627,s8173,s8174]) ).

cnf(s8647,plain,
    ( ~ spl2_39
    | ~ spl2_19 ),
    inference(rat,[],[s3537,s1086,s2018,s8607,s1142,s8646,s73,s7528,s6480,s8645,s4728,s1936,s7047,s5591,s43,s8359,s1691,s885,s7385,s8632,s8555,s8627,s8642,s8174,s8173]) ).

cnf(s8648,plain,
    ~ spl2_19,
    inference(rat,[],[s7283,s6883,s1278,s1086,s4922,s1208,s8422,s4867,s8265,s2977,s8347,s280,s1078,s105,s73,s6819,s6338,s125,s5285,s6856,s1651,s8630,s7668,s22,s2363,s8647,s8642,s7569,s7576,s4776,s8629,s423,s8637,s7385,s8632,s157,s5591,s1691,s8531,s885,s8627,s4019,s8555,s1156,s8477,s43,s8359,s8173]) ).

cnf(s8650,plain,
    spl2_33,
    inference(rat,[],[s187,s8648]) ).

cnf(s8652,plain,
    spl2_18,
    inference(rat,[],[s8,s8648]) ).

cnf(s8653,plain,
    ~ spl2_27,
    inference(rat,[],[s132,s8173,s8648]) ).

cnf(s8654,plain,
    spl2_115,
    inference(rat,[],[s8259,s8648]) ).

cnf(s8656,plain,
    ( ~ spl2_473
    | ~ spl2_314
    | ~ spl2_20
    | spl2_128
    | ~ spl2_86
    | spl2_68
    | spl2_477
    | spl2_247 ),
    inference(rat,[],[s6382,s5936,s6411,s6356,s1287,s2960,s1490,s7575,s6117,s3365,s6408,s8173,s8650]) ).

cnf(s8657,plain,
    ( spl2_273
    | spl2_419
    | spl2_396
    | ~ spl2_24
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s1620,s1208,s7084,s7039,s1329,s2909,s1298,s7753,s1289,s8656,s7574,s6715,s6563,s931,s7180,s2338,s6863,s3321,s6531,s959,s5643,s7058,s1156,s5630,s165,s73,s5027,s7033,s3389,s6642,s629,s43,s23,s13,s2410,s8177,s86,s157,s149,s3032,s2115,s1601,s799,s929,s1142,s5432,s8173,s8648,s8650,s8654]) ).

cnf(s8658,plain,
    ( spl2_268
    | spl2_389
    | ~ spl2_20
    | spl2_282
    | spl2_477
    | ~ spl2_24
    | ~ spl2_347
    | spl2_247 ),
    inference(rat,[],[s73,s8656,s5027,s7574,s7033,s6074,s43,s931,s1032,s8269,s929,s1289,s8650,s8648]) ).

cnf(s8659,plain,
    ( ~ spl2_116
    | ~ spl2_268
    | ~ spl2_21
    | spl2_74
    | ~ spl2_273
    | ~ spl2_24
    | ~ spl2_347
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s8222,s2988,s8221,s7033,s3543,s1052,s3229,s43,s3463,s295,s8177,s8650,s8173,s8174]) ).

cnf(s8660,plain,
    ( spl2_389
    | ~ spl2_20
    | spl2_26
    | spl2_74
    | ~ spl2_273
    | spl2_94
    | spl2_477
    | ~ spl2_24
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s621,s2802,s6808,s91,s4264,s8229,s1973,s1156,s5643,s3,s149,s3503,s157,s8659,s8658,s929,s799,s1441,s13,s952,s8173,s8174,s8650,s8654]) ).

cnf(s8661,plain,
    ( spl2_268
    | ~ spl2_273
    | ~ spl2_24
    | ~ spl2_347
    | spl2_247 ),
    inference(rat,[],[s2988,s6881,s3543,s3321,s3463,s6531,s3503,s629,s43,s1032,s8269,s1601,s929,s8173,s8174,s8654,s8650,s8648]) ).

cnf(s8662,plain,
    ( spl2_284
    | ~ spl2_389
    | ~ spl2_7
    | ~ spl2_21
    | spl2_74
    | spl2_419
    | spl2_396
    | ~ spl2_39 ),
    inference(rat,[],[s6122,s2140,s7772,s7587,s5451,s1248]) ).

cnf(s8663,plain,
    ( spl2_82
    | ~ spl2_284
    | spl2_83
    | ~ spl2_120
    | spl2_74
    | ~ spl2_273 ),
    inference(rat,[],[s7517,s5568,s7151,s6808]) ).

cnf(s8664,plain,
    ( ~ spl2_20
    | spl2_26
    | spl2_74
    | spl2_419
    | spl2_396
    | ~ spl2_24
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s6457,s349,s936,s94,s629,s8663,s8662,s8660,s1601,s5432,s4622,s2064,s3,s157,s1441,s1973,s1156,s5643,s3503,s8659,s13,s8661,s8657,s799,s929,s8174,s8173,s8654,s8650,s8648]) ).

cnf(s8665,plain,
    ( spl2_26
    | spl2_74
    | spl2_419
    | spl2_396
    | ~ spl2_24
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s6457,s349,s936,s2393,s73,s4102,s3748,s629,s8663,s7586,s8664,s1973,s1156,s5643,s3,s3503,s2064,s157,s8659,s13,s1601,s929,s1441,s8661,s8657,s799,s8173,s8174,s8654,s8648,s8650]) ).

cnf(s8666,plain,
    ( spl2_68
    | ~ spl2_120
    | spl2_23
    | spl2_124 ),
    inference(rat,[],[s5566,s7151,s629,s8173]) ).

cnf(s8667,plain,
    ( spl2_74
    | spl2_419
    | spl2_396
    | ~ spl2_24
    | spl2_185
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s1034,s2028,s1086,s2507,s3302,s8229,s5544,s8302,s94,s5758,s73,s936,s4102,s6457,s6808,s91,s3748,s8666,s1973,s1156,s5643,s3503,s149,s2076,s1426,s7427,s86,s1394,s8665,s1601,s799,s929,s1142,s5432,s4622,s8173,s8174,s8654,s8650,s8648]) ).

cnf(s8668,plain,
    ( ~ spl2_74
    | spl2_349 ),
    inference(rat,[],[s1871,s6113,s6106,s1868,s1873,s799,s8650,s8652]) ).

cnf(s8669,plain,
    ( ~ spl2_116
    | ~ spl2_20
    | spl2_419
    | ~ spl2_24
    | spl2_185
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s8422,s3782,s2773,s8658,s7180,s2338,s6863,s3321,s6531,s959,s5643,s7058,s1156,s5630,s165,s73,s5027,s7033,s629,s43,s2410,s8177,s1601,s799,s929,s8410,s8667,s8668,s695,s8654,s8648,s8650]) ).

cnf(s8670,plain,
    ( ~ spl2_20
    | ~ spl2_21
    | spl2_419
    | ~ spl2_24
    | spl2_185
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s621,s2802,s6808,s91,s4264,s3302,s5288,s7574,s4708,s2018,s1973,s2376,s1156,s2198,s1032,s5643,s3,s149,s3503,s157,s8669,s695,s929,s3136,s1441,s4622,s1289,s8410,s8667,s8668,s8173,s8174,s8650,s8654]) ).

cnf(s8671,plain,
    ( ~ spl2_116
    | spl2_68
    | spl2_82
    | spl2_20
    | ~ spl2_21
    | ~ spl2_24
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s2338,s6863,s7180,s3389,s3321,s6563,s3032,s6531,s3463,s5643,s7058,s1156,s5630,s165,s2410,s929,s73,s5027,s7033,s43,s799,s8654,s8173,s8174,s8650]) ).

cnf(s8672,plain,
    ( spl2_68
    | spl2_82
    | spl2_20
    | ~ spl2_21
    | spl2_419
    | ~ spl2_24
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s7517,s5568,s7586,s2115,s7151,s3,s149,s2064,s157,s8671,s8668,s1441,s8650,s8648]) ).

cnf(s8673,plain,
    ( spl2_82
    | spl2_20
    | ~ spl2_21
    | spl2_419
    | ~ spl2_24
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s1973,s1975,s157,s6808,s91,s8177,s8672,s4622,s8173,s8174,s8650]) ).

cnf(s8674,plain,
    ( ~ spl2_21
    | spl2_419
    | ~ spl2_24
    | spl2_185
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s7204,s5288,s4708,s3302,s2198,s2018,s621,s149,s2376,s2802,s1975,s157,s694,s91,s8269,s8177,s3441,s629,s8673,s8670,s3136,s1601,s799,s929,s4622,s1289,s8410,s8667,s8668,s8173,s8650,s8648,s8654]) ).

cnf(s8675,plain,
    ( spl2_419
    | ~ spl2_24
    | spl2_185
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s4199,s7574,s2324,s5288,s3051,s2303,s5551,s91,s1032,s2198,s8666,s3503,s149,s2076,s1426,s7427,s86,s13,s8674,s1289,s8410,s8667,s4622,s3136,s1601,s799,s929,s8668,s8654,s8173,s8650,s8648]) ).

cnf(s8676,plain,
    ( ~ spl2_24
    | spl2_185
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s1075,s2739,s7012,s1194,s1248,s1462,s76,s13,s5451,s5027,s1426,s8663,s7033,s8666,s629,s43,s2920,s1973,s1156,s2115,s5643,s3,s149,s3503,s2064,s157,s1461,s8675,s1441,s1601,s799,s929,s8668,s8648,s8650,s8173,s8174,s8654]) ).

cnf(s8677,plain,
    ( ~ spl2_21
    | ~ spl2_67
    | ~ spl2_268
    | ~ spl2_8
    | spl2_24
    | ~ spl2_347
    | spl2_247 ),
    inference(rat,[],[s4202,s6808,s7043,s621,s7162,s8255,s7694,s3,s1604,s6642,s4266,s807,s5680,s5541,s694,s6442,s3446,s3247,s3241,s1973,s8648,s8654,s8174,s8173]) ).

cnf(s8678,plain,
    ( ~ spl2_26
    | spl2_24
    | ~ spl2_39 ),
    inference(rat,[],[s3551,s1426,s8173]) ).

cnf(s8679,plain,
    ( spl2_116
    | ~ spl2_21
    | spl2_24
    | spl2_349
    | spl2_247 ),
    inference(rat,[],[s8677,s1156,s1032,s5643,s3503,s157,s929,s799,s8650,s8654]) ).

cnf(s8680,plain,
    ( spl2_24
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s5806,s787,s8679,s13,s8678,s8173]) ).

cnf(s8681,plain,
    ( ~ spl2_116
    | ~ spl2_21
    | spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s5992,s5630,s6819,s165,s280,s5890,s73,s3970,s5027,s7576,s7033,s629,s43,s2410,s8177,s1602,s1601,s799,s929,s8676,s8680,s8650,s8653,s8654]) ).

cnf(s8682,plain,
    ( spl2_116
    | ~ spl2_185
    | ~ spl2_24
    | spl2_317
    | spl2_349
    | ~ spl2_321 ),
    inference(rat,[],[s3970,s7576,s7151,s43,s279,s1156,s5643,s3503,s2064,s8654,s8648]) ).

cnf(s8683,plain,
    ( ~ spl2_116
    | spl2_349
    | spl2_247
    | ~ spl2_39 ),
    inference(rat,[],[s7427,s1461,s13,s8681,s8173]) ).

cnf(s8684,plain,
    ( spl2_349
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s8683,s8682,s8676,s8680,s1602,s799,s929,s8654]) ).

cnf(s8686,plain,
    ( spl2_268
    | spl2_82
    | ~ spl2_89
    | spl2_185
    | ~ spl2_116
    | spl2_26
    | ~ spl2_24
    | ~ spl2_349
    | ~ spl2_39
    | ~ spl2_321 ),
    inference(rat,[],[s1620,s1208,s7084,s7039,s1329,s2909,s1298,s1142,s1025,s8410,s5566,s7706,s5890,s5027,s5028,s73,s6863,s4691,s807,s8490,s6881,s1080,s3321,s6531,s1032,s879,s13,s23,s1461,s43,s8177,s8173,s8648,s8650]) ).

cnf(s8687,plain,
    ( ~ spl2_268
    | spl2_67
    | spl2_351
    | spl2_198
    | spl2_68
    | ~ spl2_21
    | ~ spl2_24
    | ~ spl2_349 ),
    inference(rat,[],[s1685,s2212,s73,s7243,s5726,s5890,s1974,s5992,s5816,s1156,s8654,s8653,s8650]) ).

cnf(s8688,plain,
    ( ~ spl2_389
    | ~ spl2_411
    | ~ spl2_116
    | ~ spl2_40
    | ~ spl2_21 ),
    inference(rat,[],[s1620,s1208,s7084,s7039,s1329,s2909,s1298,s7753,s1461,s8173,s8648]) ).

cnf(s8689,plain,
    ( spl2_396
    | ~ spl2_248
    | spl2_268
    | spl2_185
    | spl2_68
    | ~ spl2_116
    | spl2_26
    | ~ spl2_24
    | ~ spl2_349
    | spl2_247 ),
    inference(rat,[],[s3463,s6563,s6916,s8656,s6863,s73,s7574,s5027,s6074,s7706,s1289,s8688,s931,s949,s1359,s5432,s1142,s929,s1377,s13,s23,s43,s7180,s1032,s1080,s8173,s8174,s8650]) ).

cnf(s8690,plain,
    ( spl2_67
    | spl2_185
    | ~ spl2_116
    | spl2_26
    | ~ spl2_24
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s6411,s6382,s5936,s7575,s3046,s3865,s7574,s3365,s3782,s1086,s6074,s1289,s8422,s8410,s8689,s1974,s5580,s629,s6444,s8686,s1032,s7180,s8687,s1156,s929,s3136,s13,s1461,s295,s43,s8177,s1108,s8684,s8173,s8650,s8654]) ).

cnf(s8691,plain,
    ( ~ spl2_105
    | spl2_73
    | spl2_185
    | ~ spl2_116
    | spl2_26
    | ~ spl2_24
    | ~ spl2_349
    | ~ spl2_39
    | ~ spl2_321 ),
    inference(rat,[],[s1032,s5816,s7706,s5892,s5027,s5758,s73,s165,s7801,s1461,s2410,s43,s8177,s1108,s7162,s8650,s8173]) ).

cnf(s8692,plain,
    ( spl2_185
    | ~ spl2_116
    | spl2_26
    | ~ spl2_24
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s5027,s7706,s73,s8410,s221,s8689,s1032,s6745,s5598,s5816,s6245,s2802,s621,s5580,s5630,s8691,s3240,s8690,s1108,s929,s3136,s8684,s13,s1461,s43,s8177,s8650,s8173,s8174,s8654]) ).

cnf(s8693,plain,
    ( ~ spl2_116
    | spl2_26
    | ~ spl2_24
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s7762,s6125,s5435,s5705,s2462,s2449,s6124,s8415,s4804,s3463,s1052,s8224,s8225,s5712,s7801,s3969,s2376,s5611,s5630,s877,s8413,s695,s1156,s5027,s5893,s5028,s73,s280,s6819,s5892,s5890,s7162,s3970,s1032,s1893,s337,s1169,s6081,s5580,s2092,s3321,s6480,s8692,s43,s1461,s8177,s929,s3136,s8684,s13,s8650,s8173,s8174,s8654,s8648,s8653]) ).

cnf(s8694,plain,
    ( spl2_351
    | spl2_74
    | spl2_64
    | ~ spl2_60
    | ~ spl2_273
    | ~ spl2_268
    | spl2_26
    | ~ spl2_24
    | ~ spl2_349 ),
    inference(rat,[],[s3229,s3445,s5568,s7162,s2393,s5892,s803,s5816,s13]) ).

cnf(s8695,plain,
    ( spl2_73
    | ~ spl2_185
    | ~ spl2_60
    | ~ spl2_7
    | ~ spl2_21 ),
    inference(rat,[],[s1156,s5028,s6455,s5890,s4264,s8648]) ).

cnf(s8696,plain,
    ( spl2_26
    | ~ spl2_24
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s279,s43,s1156,s7047,s7569,s337,s3970,s8695,s1108,s8694,s55,s6069,s5027,s3900,s4033,s5758,s73,s7570,s1685,s694,s1930,s6442,s2115,s1032,s3,s3446,s149,s3503,s157,s8693,s13,s1377,s929,s8684,s1441,s8650,s8648,s8173,s8654]) ).

cnf(s8698,plain,
    ( spl2_82
    | ~ spl2_7
    | spl2_23 ),
    inference(rat,[],[s4264,s1955,s5566,s8173]) ).

cnf(s8699,plain,
    ( spl2_185
    | ~ spl2_68
    | ~ spl2_82
    | ~ spl2_198
    | ~ spl2_268
    | ~ spl2_8
    | ~ spl2_24
    | ~ spl2_349
    | ~ spl2_39
    | ~ spl2_608 ),
    inference(rat,[],[s6125,s4431,s8291,s2449,s2376,s8293,s696,s3073,s2825,s7586,s5029,s2920,s94,s53,s1975,s803,s5816,s1108,s3885,s3,s1441,s112,s8650,s8648,s8173]) ).

cnf(s8700,plain,
    ( ~ spl2_24
    | ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s6381,s7569,s1975,s1156,s6455,s8699,s6457,s43,s7047,s8698,s5027,s3900,s73,s1685,s1549,s1930,s1032,s2115,s3503,s3,s149,s1425,s1426,s86,s1394,s885,s8696,s1441,s929,s3136,s8684,s8650,s8648,s8173,s8654]) ).

cnf(s8701,plain,
    ( ~ spl2_116
    | spl2_24
    | ~ spl2_39 ),
    inference(rat,[],[s5806,s787,s8173]) ).

cnf(s8702,plain,
    ( spl2_68
    | ~ spl2_76
    | spl2_611
    | ~ spl2_60
    | ~ spl2_8
    | spl2_26
    | spl2_24 ),
    inference(rat,[],[s3243,s1156,s7162,s1974,s5892,s5726,s4202,s8173,s8650]) ).

cnf(s8703,plain,
    ( spl2_82
    | spl2_67
    | ~ spl2_68
    | ~ spl2_21
    | ~ spl2_49 ),
    inference(rat,[],[s7683,s2576,s1955,s8648,s8173]) ).

cnf(s8704,plain,
    ( ~ spl2_68
    | ~ spl2_278
    | spl2_120
    | ~ spl2_8
    | ~ spl2_21
    | ~ spl2_49
    | ~ spl2_349 ),
    inference(rat,[],[s1436,s8703,s5029,s112,s8173]) ).

cnf(s8705,plain,
    ( ~ spl2_39
    | spl2_247 ),
    inference(rat,[],[s3321,s6294,s4257,s3970,s1108,s6565,s337,s5816,s6819,s7047,s8702,s43,s8704,s3336,s7694,s3,s1511,s5027,s6642,s4266,s807,s73,s5680,s1685,s5541,s2212,s694,s2756,s6442,s1032,s3446,s5194,s3503,s157,s8701,s13,s8678,s3241,s3247,s8700,s8684,s929,s8653,s8648,s8650,s8654]) ).

cnf(s8706,plain,
    ( spl2_68
    | spl2_349
    | ~ spl2_24
    | spl2_247 ),
    inference(rat,[],[s3276,s4321,s3336,s1156,s1052,s5643,s6764,s6081,s3321,s5334,s4002,s229,s73,s5027,s7033,s629,s43,s2376,s3398,s2363,s3136,s7187,s22,s8705,s1601,s799,s929,s8173,s8650,s8654]) ).

cnf(s8707,plain,
    ( spl2_26
    | spl2_349
    | ~ spl2_24
    | spl2_247 ),
    inference(rat,[],[s441,s1502,s618,s2927,s8182,s1074,s903,s8194,s3463,s924,s621,s8198,s5890,s5976,s7394,s787,s1461,s2064,s2787,s13,s35,s2376,s1871,s972,s1906,s4033,s7570,s3398,s2363,s3136,s7187,s22,s929,s1378,s8705,s8706,s8173,s8650,s8174,s8648,s8653,s8652,s8654]) ).

cnf(s8708,plain,
    ( ~ spl2_116
    | ~ spl2_303
    | ~ spl2_68
    | spl2_349
    | spl2_179
    | ~ spl2_268
    | ~ spl2_24 ),
    inference(rat,[],[s8198,s1549,s5976,s7394,s295,s787,s1461,s8173]) ).

cnf(s8709,plain,
    ( spl2_389
    | ~ spl2_73
    | ~ spl2_67
    | ~ spl2_118
    | spl2_116
    | ~ spl2_26
    | ~ spl2_113
    | ~ spl2_268
    | ~ spl2_608 ),
    inference(rat,[],[s7204,s5288,s4819,s3302,s6085,s5432,s2198,s8229,s1289,s8173,s8650]) ).

cnf(s8710,plain,
    ( ~ spl2_86
    | ~ spl2_67
    | ~ spl2_7
    | ~ spl2_118
    | spl2_185
    | spl2_116
    | ~ spl2_26
    | ~ spl2_68
    | ~ spl2_347
    | spl2_74
    | ~ spl2_113
    | spl2_179
    | ~ spl2_268
    | ~ spl2_38
    | ~ spl2_637
    | ~ spl2_608 ),
    inference(rat,[],[s8422,s1086,s1142,s5362,s5282,s6122,s7772,s3289,s8709,s4485,s7762,s6125,s5545,s7130,s1502,s8286,s1074,s2709,s8287,s3150,s2576,s2278,s7162,s2096,s6696,s5334,s4002,s885,s2920,s6808,s1973,s8173,s8654,s8174]) ).

cnf(s8711,plain,
    ( spl2_349
    | ~ spl2_24
    | spl2_247 ),
    inference(rat,[],[s1034,s2028,s1086,s5362,s5545,s1502,s6122,s2927,s1074,s7772,s3289,s8287,s8709,s2576,s5893,s73,s8710,s2920,s1156,s5643,s3,s149,s8682,s155,s3503,s157,s8708,s885,s8707,s8706,s1602,s799,s3885,s1441,s2376,s865,s1871,s1906,s4033,s7570,s3398,s2363,s3136,s7187,s22,s929,s1378,s8705,s8173,s8650,s8654,s8652]) ).

cnf(s8712,plain,
    ( spl2_68
    | spl2_26
    | ~ spl2_24
    | spl2_247 ),
    inference(rat,[],[s7307,s7575,s3095,s1842,s6448,s1208,s1289,s3027,s1026,s2132,s6059,s1298,s3457,s6267,s6947,s4450,s7574,s6117,s4708,s2439,s2018,s6081,s1142,s3321,s8394,s6480,s1972,s1108,s349,s7162,s5816,s6819,s3240,s6067,s6423,s2340,s43,s713,s6708,s1871,s1906,s4033,s7570,s1378,s5027,s73,s1685,s8711,s1750,s2376,s3398,s2363,s3136,s7187,s22,s929,s13,s2064,s2787,s8705,s8648,s8173,s8654,s8653,s8174,s8650,s8652]) ).

cnf(s8713,plain,
    ( spl2_26
    | ~ spl2_24
    | spl2_247 ),
    inference(rat,[],[s279,s1108,s1156,s803,s5028,s2393,s5890,s5976,s7394,s8712,s787,s1461,s2064,s2787,s13,s1871,s1906,s4033,s7570,s1378,s73,s1685,s8711,s1750,s2376,s3398,s2363,s3136,s7187,s22,s8705,s929,s8648,s8173,s8653,s8654,s8652,s8650]) ).

cnf(s8714,plain,
    ( ~ spl2_396
    | ~ spl2_676
    | ~ spl2_690
    | spl2_198
    | ~ spl2_303
    | spl2_179
    | ~ spl2_268 ),
    inference(rat,[],[s2326,s3451,s1298,s5949,s7574,s4708,s2018]) ).

cnf(s8715,plain,
    ( spl2_68
    | ~ spl2_116
    | ~ spl2_26
    | ~ spl2_665
    | ~ spl2_349
    | spl2_179
    | ~ spl2_268
    | ~ spl2_24
    | spl2_39 ),
    inference(rat,[],[s1292,s7753,s6267,s6407,s1768,s1142,s8714,s6117,s5627,s1722,s3321,s1086,s6881,s7887,s1108,s4330,s7162,s5816,s6643,s3240,s6067,s5285,s6423,s2340,s43,s2363,s22,s5758,s5027,s73,s1685,s1750,s1461,s1549,s295,s885,s8173,s8174,s8648,s8650]) ).

cnf(s8716,plain,
    ( ~ spl2_116
    | ~ spl2_26
    | ~ spl2_349
    | spl2_74
    | spl2_179
    | ~ spl2_268
    | ~ spl2_24
    | spl2_39 ),
    inference(rat,[],[s1108,s803,s6480,s94,s5289,s5893,s7162,s5976,s7394,s8715,s3032,s1549,s295,s787,s1461,s73,s6708,s1685,s1750,s2363,s885,s8654,s8173]) ).

cnf(s8717,plain,
    ( ~ spl2_24
    | spl2_247 ),
    inference(rat,[],[s1034,s2028,s1086,s5362,s5545,s6122,s1502,s7772,s3289,s1074,s8709,s2920,s279,s2927,s1156,s8287,s7651,s2576,s6457,s7049,s3902,s5568,s2753,s1549,s5597,s1966,s3,s149,s5300,s2064,s157,s8716,s1394,s885,s8713,s3900,s6708,s73,s1685,s8711,s2596,s1871,s1906,s1750,s4033,s865,s2376,s7570,s5865,s7187,s3398,s22,s1441,s929,s3136,s2363,s1378,s8705,s8173,s8653,s8650,s8648,s8652,s8654]) ).

cnf(s8718,plain,
    ( spl2_68
    | spl2_268
    | spl2_349
    | spl2_247 ),
    inference(rat,[],[s7973,s629,s2340,s2363,s8705,s3247,s8717,s8668,s1601,s799,s929,s8654]) ).

cnf(s8719,plain,
    ( spl2_268
    | spl2_349
    | ~ spl2_21
    | spl2_247 ),
    inference(rat,[],[s8243,s5976,s7394,s8718,s3463,s1055,s1032,s929,s35,s2363,s8705,s3247,s8668,s1461,s787,s8679,s8717,s8173,s8174,s8650,s8648]) ).

cnf(s8720,plain,
    ( spl2_68
    | spl2_349
    | spl2_26
    | spl2_247 ),
    inference(rat,[],[s1169,s5892,s2092,s230,s7162,s4257,s165,s73,s3240,s614,s5027,s7491,s7576,s7033,s629,s2340,s43,s2363,s8705,s8679,s1602,s1601,s799,s929,s2756,s8719,s13,s3247,s8717,s8654,s8173,s8174,s8650,s8648,s8653]) ).

cnf(s8721,plain,
    ( spl2_349
    | spl2_26
    | spl2_247 ),
    inference(rat,[],[s5680,s807,s5541,s1604,s694,s621,s3441,s5976,s7394,s8720,s8719,s787,s1461,s8679,s799,s3241,s8717,s13,s8654,s8173]) ).

cnf(s8722,plain,
    ( spl2_400
    | ~ spl2_396
    | spl2_12
    | spl2_104
    | spl2_128
    | ~ spl2_116
    | ~ spl2_49 ),
    inference(rat,[],[s3095,s710,s6356,s3973,s151,s3027,s4846,s2580,s6059,s4285,s8650,s8173]) ).

cnf(s8723,plain,
    ( spl2_268
    | spl2_68
    | ~ spl2_116
    | spl2_26
    | spl2_247 ),
    inference(rat,[],[s5630,s1730,s621,s1011,s2075,s8722,s5899,s1298,s7162,s1086,s7753,s3240,s4285,s8422,s6067,s7706,s6423,s8167,s5027,s73,s6863,s774,s1080,s6480,s3276,s6647,s931,s3321,s3336,s3463,s959,s6531,s6209,s1055,s1032,s7180,s929,s35,s994,s3247,s8717,s13,s8721,s1461,s43,s2340,s2363,s8705,s8173,s8174,s8648,s8650]) ).

cnf(s8724,plain,
    ( spl2_82
    | spl2_68
    | ~ spl2_116
    | spl2_26
    | spl2_247 ),
    inference(rat,[],[s8114,s2018,s2439,s3972,s2376,s1142,s7186,s695,s8394,s5629,s6708,s73,s165,s1972,s1108,s230,s5816,s5892,s1169,s2092,s7162,s4257,s3240,s5630,s7491,s1893,s13,s8721,s2340,s2363,s8705,s2756,s8723,s3247,s8717,s8654,s8173,s8174,s8648,s8653]) ).

cnf(s8725,plain,
    ( spl2_68
    | ~ spl2_116
    | spl2_26
    | spl2_247 ),
    inference(rat,[],[s6157,s2455,s4429,s2449,s1735,s6125,s1153,s7107,s5229,s8354,s1154,s3221,s5029,s6442,s8360,s6221,s694,s1750,s1169,s6863,s2384,s1685,s5892,s73,s7162,s5027,s3240,s6126,s6755,s4740,s803,s5816,s1108,s1080,s6480,s5580,s6108,s8724,s8723,s2340,s43,s929,s3136,s2363,s8705,s3247,s8717,s8721,s8648,s8650,s8173,s8174,s8654]) ).

cnf(s8726,plain,
    ( spl2_268
    | spl2_61
    | ~ spl2_63
    | ~ spl2_82
    | spl2_77
    | ~ spl2_116
    | ~ spl2_349
    | spl2_247 ),
    inference(rat,[],[s6863,s73,s1080,s5028,s5289,s1156,s3032,s5029,s3463,s6209,s1055,s1032,s929,s35,s2363,s8705,s8648,s8654,s8173,s8174,s8650]) ).

cnf(s8727,plain,
    ( ~ spl2_86
    | ~ spl2_268
    | spl2_61
    | spl2_77
    | ~ spl2_349
    | spl2_247 ),
    inference(rat,[],[s5992,s5029,s6819,s6221,s1113,s2212,s1750,s1685,s929,s8705,s8650,s8653,s8648]) ).

cnf(s8728,plain,
    ( ~ spl2_116
    | spl2_26
    | spl2_247 ),
    inference(rat,[],[s1108,s803,s279,s8373,s1156,s5629,s5028,s73,s8727,s8726,s5890,s7162,s5976,s7394,s112,s8725,s787,s1461,s8717,s13,s8721,s8648,s8173]) ).

cnf(s8729,plain,
    ( spl2_26
    | spl2_247 ),
    inference(rat,[],[s3263,s5629,s6423,s73,s3276,s1685,s3336,s2212,s694,s8704,s6442,s7694,s1032,s3446,s3,s155,s3503,s157,s8728,s8721,s4265,s2787,s13,s929,s994,s2363,s8705,s3247,s8717,s8173,s8648,s8650,s8654,s8653]) ).

cnf(s8730,plain,
    ( spl2_68
    | spl2_48
    | ~ spl2_347
    | spl2_247 ),
    inference(rat,[],[s73,s5027,s3789,s7033,s629,s43,s3247,s8717,s1601,s929,s8650,s8654]) ).

cnf(s8731,plain,
    ( ~ spl2_116
    | ~ spl2_347
    | spl2_247 ),
    inference(rat,[],[s8260,s1549,s3463,s807,s1604,s621,s5976,s7394,s8730,s5064,s787,s1461,s1256,s885,s2630,s8729,s3247,s8717,s8648,s8173,s8174,s8654]) ).

cnf(s8732,plain,
    ( spl2_349
    | spl2_247 ),
    inference(rat,[],[s6808,s4202,s621,s7043,s1591,s7162,s807,s3263,s1973,s1549,s1156,s1032,s5643,s3503,s157,s8731,s799,s929,s885,s1394,s2630,s8729,s3247,s8717,s8654,s8173,s8174,s8650]) ).

cnf(s8733,plain,
    ( spl2_268
    | spl2_68
    | ~ spl2_116
    | spl2_247 ),
    inference(rat,[],[s2075,s621,s1298,s7846,s1086,s7753,s6643,s4846,s8422,s3240,s7706,s6755,s8167,s6423,s5027,s73,s6863,s1080,s6480,s3321,s6531,s6209,s1032,s7180,s929,s994,s3247,s8717,s8732,s1461,s5064,s1256,s8729,s43,s2340,s2363,s8705,s8173,s8174,s8648,s8650]) ).

cnf(s8734,plain,
    ( spl2_68
    | ~ spl2_116
    | spl2_247 ),
    inference(rat,[],[s7540,s7574,s6125,s5949,s5705,s1298,s2985,s2449,s1034,s7753,s8112,s6407,s1142,s8714,s6117,s1086,s7045,s5712,s8076,s7887,s3969,s5630,s1169,s5627,s5640,s5580,s2092,s3321,s8110,s6480,s1972,s1108,s7162,s5816,s6643,s3240,s6755,s6423,s5027,s6708,s73,s1685,s1750,s1549,s8733,s2340,s43,s3136,s2363,s5049,s1871,s1908,s6858,s2630,s3247,s8717,s885,s1378,s8705,s8732,s1461,s5064,s1256,s8729,s8654,s8173,s8174,s8648,s8650,s8652]) ).

cnf(s8736,plain,
    ( ~ spl2_395
    | spl2_185
    | spl2_76
    | ~ spl2_277
    | spl2_247 ),
    inference(rat,[],[s7204,s6715,s8448,s8422,s994,s2363,s8705,s8732]) ).

cnf(s8738,plain,
    ( spl2_255
    | spl2_185
    | spl2_662
    | ~ spl2_89
    | ~ spl2_278
    | spl2_322
    | spl2_247 ),
    inference(rat,[],[s2462,s6124,s3497,s4807,s8354,s6125,s3767,s2449,s929,s1871,s1908,s6858,s2630,s3247,s8717,s885,s8729,s1378,s8705,s8732,s8652,s8650]) ).

cnf(s8739,plain,
    ( spl2_389
    | ~ spl2_260
    | ~ spl2_338
    | spl2_477
    | ~ spl2_437
    | ~ spl2_278
    | spl2_322
    | ~ spl2_95
    | spl2_247 ),
    inference(rat,[],[s1295,s1298,s2075,s6411,s6382,s5936,s1420,s4199,s1337,s1609,s7575,s7574,s3365,s6074,s1289,s35,s2363,s6209,s929,s8705,s8173,s8648]) ).

cnf(s8740,plain,
    ( spl2_268
    | ~ spl2_116
    | spl2_247 ),
    inference(rat,[],[s7772,s8739,s6122,s6760,s7131,s440,s1502,s2760,s618,s1074,s903,s8738,s3782,s1086,s8736,s6480,s6501,s5289,s5847,s1156,s3032,s5029,s3463,s931,s1055,s1032,s7180,s35,s2363,s1871,s972,s1908,s6858,s2630,s3247,s8717,s885,s8729,s1378,s8705,s8732,s112,s7162,s621,s5976,s787,s7394,s8734,s1461,s8173,s8650,s8654,s8174,s8652,s8648]) ).

cnf(s8742,plain,
    ( ~ spl2_389
    | spl2_276
    | ~ spl2_67
    | ~ spl2_620
    | spl2_474
    | spl2_273
    | ~ spl2_268
    | spl2_73
    | ~ spl2_116 ),
    inference(rat,[],[s1086,s1034,s5954,s2040,s5955,s2041,s7575,s6117,s5157,s6267,s1298,s1505,s7753,s1461,s8173]) ).

cnf(s8743,plain,
    ( spl2_289
    | ~ spl2_116
    | spl2_247 ),
    inference(rat,[],[s6122,s4523,s2140,s6225,s6641,s4850,s5064,s1256,s2985,s6127,s3358,s8160,s1273,s5288,s7574,s3117,s5955,s3136,s1420,s7307,s3095,s713,s6441,s7575,s3365,s35,s621,s1289,s8742,s877,s3453,s1644,s5816,s8478,s8224,s1052,s5029,s1156,s6723,s803,s1108,s6480,s5289,s3032,s1549,s5976,s787,s7162,s7394,s1461,s3900,s73,s1685,s1750,s2363,s112,s8734,s8732,s8740,s5049,s1871,s1908,s6858,s2630,s3247,s8717,s885,s8729,s1378,s8705,s8173,s8648,s8652,s8650,s8654]) ).

cnf(s8744,plain,
    ( ~ spl2_116
    | spl2_247 ),
    inference(rat,[],[s5609,s4378,s618,s441,s8743,s8568,s3423,s2449,s8160,s1273,s1410,s5288,s6117,s1445,s7574,s6407,s4141,s3117,s1420,s1142,s5955,s7307,s7575,s3095,s3365,s6441,s1289,s8742,s8224,s1052,s5029,s877,s1156,s3453,s6723,s1644,s803,s5816,s8478,s1108,s3900,s6480,s6708,s73,s5289,s1685,s3032,s1750,s1549,s8740,s621,s7162,s5976,s7394,s112,s8734,s787,s1461,s929,s3136,s35,s2363,s5049,s1871,s460,s972,s713,s1908,s6858,s2630,s3247,s8717,s885,s8729,s1378,s8705,s8732,s8173,s8174,s8650,s8654,s8648,s8652]) ).

cnf(s8745,plain,
    ( spl2_68
    | spl2_247 ),
    inference(rat,[],[s3321,s4257,s6294,s6565,s6819,s3263,s7047,s6755,s6423,s43,s2363,s8705,s1394,s5194,s157,s2756,s807,s1549,s2630,s885,s5027,s73,s1685,s1750,s5049,s8729,s3247,s8717,s1032,s3503,s8744,s929,s8732,s8653,s8173,s8648,s8650,s8654]) ).

cnf(s8746,plain,
    spl2_247,
    inference(rat,[],[s1156,s7651,s5029,s6457,s112,s8745,s3900,s7694,s73,s3,s1685,s4266,s1750,s1549,s1032,s3503,s157,s8744,s8732,s1871,s1908,s6858,s5049,s2630,s1394,s885,s8729,s3247,s8717,s994,s1378,s2363,s8705,s929,s8173,s8648,s8650,s8654,s8652]) ).

cnf(s8748,plain,
    ~ spl2_492,
    inference(rat,[],[s2304,s8173,s8746]) ).

cnf(s8749,plain,
    ( ~ spl2_21
    | ~ spl2_278
    | ~ spl2_357
    | spl2_73
    | spl2_67
    | ~ spl2_277
    | spl2_273 ),
    inference(rat,[],[s3276,s1533,s3336,s6819,s7186,s695,s5992,s6647,s5890,s8653,s8654,s8650]) ).

cnf(s8750,plain,
    ( spl2_73
    | spl2_67
    | spl2_82
    | ~ spl2_347
    | spl2_68
    | ~ spl2_277
    | ~ spl2_116 ),
    inference(rat,[],[s229,s73,s353,s6423,s4740,s2363,s86,s223,s13,s8749,s1052,s7046,s866,s4202,s1640,s7043,s7162,s2050,s787,s7246,s1461,s43,s8648,s8173,s8746]) ).

cnf(s8751,plain,
    ( ~ spl2_39
    | ~ spl2_21
    | ~ spl2_116 ),
    inference(rat,[],[s7812,s5806,s787,s807,s7246,s1461,s8746,s8173]) ).

cnf(s8752,plain,
    ( spl2_396
    | spl2_389
    | ~ spl2_38
    | ~ spl2_86
    | spl2_39
    | spl2_363
    | spl2_349
    | spl2_68
    | ~ spl2_277 ),
    inference(rat,[],[s2984,s1086,s7575,s1481,s5936,s2960,s6382,s6117,s6411,s7574,s6408,s6441,s3342,s1420,s6715,s5432,s35,s2363,s1289,s3118,s43,s8173,s8650,s8648]) ).

cnf(s8753,plain,
    ( spl2_389
    | ~ spl2_38
    | ~ spl2_86
    | spl2_76
    | spl2_39
    | spl2_363
    | spl2_185
    | ~ spl2_89
    | spl2_349
    | spl2_68
    | ~ spl2_277 ),
    inference(rat,[],[s6117,s7283,s6408,s6441,s3782,s8422,s8752,s1289]) ).

cnf(s8754,plain,
    ( ~ spl2_21
    | spl2_67
    | spl2_82
    | spl2_349
    | spl2_68
    | spl2_268
    | ~ spl2_116 ),
    inference(rat,[],[s6653,s7574,s7753,s7875,s8753,s22,s879,s3247,s73,s7973,s6423,s2340,s4740,s2363,s8751,s6642,s807,s7246,s1461,s43,s8668,s1156,s3970,s8750,s799,s7180,s337,s8746,s8648,s8173]) ).

cnf(s8755,plain,
    ( spl2_67
    | spl2_82
    | spl2_349
    | spl2_68
    | spl2_268
    | ~ spl2_116 ),
    inference(rat,[],[s5571,s4740,s6858,s1426,s13,s8754,s5566,s8750,s295,s7180,s43,s799,s8648,s8173]) ).

cnf(s8756,plain,
    ( spl2_61
    | ~ spl2_105
    | spl2_82
    | spl2_349
    | ~ spl2_277 ),
    inference(rat,[],[s165,s230,s73,s6163,s6447]) ).

cnf(s8757,plain,
    ( spl2_82
    | spl2_349
    | spl2_68
    | spl2_268
    | ~ spl2_116 ),
    inference(rat,[],[s7427,s13,s2363,s5890,s2340,s8756,s5630,s3240,s8755,s1461,s7180,s8173,s8174]) ).

cnf(s8758,plain,
    ( spl2_26
    | spl2_67
    | spl2_112
    | ~ spl2_82
    | spl2_74
    | spl2_68
    | ~ spl2_277
    | ~ spl2_116 ),
    inference(rat,[],[s1695,s362,s866,s221,s1533,s73,s8240,s6423,s1052,s6745,s2363,s7038,s94,s7570,s5865,s8751,s6642,s6647,s4691,s13,s2050,s807,s7150,s7246,s1461,s787,s8746,s8648,s8173]) ).

cnf(s8759,plain,
    ( spl2_349
    | spl2_68
    | spl2_268
    | ~ spl2_116 ),
    inference(rat,[],[s5571,s4740,s6858,s1425,s1394,s8758,s3240,s621,s6434,s8757,s1591,s8668,s799,s295,s807,s7246,s1461,s7180,s43,s8648,s8173,s8174,s8654,s8746]) ).

cnf(s8760,plain,
    ( ~ spl2_473
    | spl2_477
    | ~ spl2_24
    | ~ spl2_86
    | spl2_39
    | spl2_363
    | spl2_68
    | ~ spl2_277
    | spl2_273 ),
    inference(rat,[],[s5157,s1298,s7575,s1486,s1490,s1102,s7574,s3342,s6715,s1768,s2960,s7283,s6117,s6408,s6441,s22]) ).

cnf(s8761,plain,
    ( ~ spl2_21
    | spl2_82
    | spl2_67
    | spl2_68
    | spl2_268
    | ~ spl2_116 ),
    inference(rat,[],[s6653,s7574,s7753,s7875,s1289,s8760,s3782,s8606,s6579,s6294,s3321,s6863,s879,s280,s1078,s3247,s73,s7491,s6819,s6423,s2340,s4740,s2363,s695,s8751,s6642,s6647,s807,s7246,s1461,s7180,s43,s8759,s1156,s337,s8746,s8648,s8653,s8654,s8173]) ).

cnf(s8762,plain,
    ( spl2_82
    | spl2_67
    | spl2_68
    | spl2_268
    | ~ spl2_116 ),
    inference(rat,[],[s229,s73,s353,s6423,s4740,s2363,s1425,s1394,s223,s13,s8761,s43,s8648,s8173]) ).

cnf(s8763,plain,
    ( ~ spl2_21
    | ~ spl2_82
    | spl2_67
    | spl2_68
    | ~ spl2_277
    | ~ spl2_116 ),
    inference(rat,[],[s1695,s866,s362,s1533,s221,s3276,s73,s3336,s6745,s6819,s6423,s1052,s5865,s4740,s2363,s7038,s7186,s695,s8751,s6642,s6647,s2050,s7150,s7246,s1461,s787,s43,s8746,s8653,s8648,s8654,s8173]) ).

cnf(s8766,plain,
    ( ~ spl2_395
    | ~ spl2_473
    | ~ spl2_86
    | spl2_76
    | spl2_39
    | spl2_68 ),
    inference(rat,[],[s6117,s6721,s6408,s6441,s5432,s1480,s8422,s280,s6819,s8650,s8653]) ).

cnf(s8767,plain,
    ( ~ spl2_295
    | spl2_103
    | spl2_185
    | spl2_255
    | spl2_74
    | spl2_76
    | ~ spl2_16
    | ~ spl2_349
    | ~ spl2_110 ),
    inference(rat,[],[s7044,s3437,s2246,s6225,s6125,s6293,s8354,s1154,s8173,s8648]) ).

cnf(s8768,plain,
    ( ~ spl2_473
    | ~ spl2_292
    | spl2_289
    | spl2_295
    | spl2_255
    | ~ spl2_86
    | spl2_74
    | spl2_76
    | spl2_39
    | ~ spl2_89
    | spl2_68 ),
    inference(rat,[],[s4523,s6641,s6122,s7131,s6127,s3358,s3782,s8766,s2762,s43,s8173]) ).

cnf(s8769,plain,
    ( spl2_67
    | spl2_68
    | spl2_268
    | ~ spl2_116 ),
    inference(rat,[],[s7084,s1544,s5279,s3095,s1298,s7574,s8598,s7753,s7875,s1289,s8768,s5650,s7128,s7573,s8767,s2250,s6418,s6387,s694,s6863,s2449,s280,s1078,s5289,s8550,s73,s7162,s713,s1871,s6819,s6423,s3143,s1908,s4740,s1378,s2363,s6858,s1425,s1394,s885,s13,s8763,s629,s8762,s1156,s295,s3032,s7246,s1461,s7180,s6338,s43,s8759,s8746,s8650,s8654,s8652,s8653,s8648,s8173]) ).

cnf(s8770,plain,
    ( spl2_26
    | spl2_64
    | ~ spl2_614
    | ~ spl2_185
    | ~ spl2_63
    | ~ spl2_277
    | spl2_273 ),
    inference(rat,[],[s280,s6256,s6819,s6642,s5892,s13,s8653]) ).

cnf(s8771,plain,
    ( spl2_68
    | spl2_268
    | ~ spl2_116 ),
    inference(rat,[],[s4450,s8433,s7574,s7753,s7875,s6407,s1142,s8106,s6117,s3969,s1722,s7573,s1086,s6658,s6755,s7887,s5027,s6708,s73,s3789,s5049,s5064,s885,s8770,s5029,s959,s2985,s2340,s6341,s1169,s2363,s6832,s3364,s2092,s3321,s8701,s3247,s6480,s879,s1108,s8397,s7162,s8550,s806,s3240,s53,s8769,s8759,s43,s1256,s295,s3032,s7246,s1461,s7180,s8654,s8746,s8650,s8648,s8173,s8174]) ).

cnf(s8772,plain,
    ( ~ spl2_68
    | ~ spl2_116 ),
    inference(rat,[],[s5289,s7162,s2730,s5976,s7394,s787,s3032,s7246,s1461,s8746,s8654,s8173]) ).

cnf(s8774,plain,
    ( spl2_286
    | spl2_396
    | ~ spl2_24
    | spl2_74
    | ~ spl2_116 ),
    inference(rat,[],[s8192,s5248,s6225,s2449,s2985,s8550,s7246,s2363,s22,s5813,s8771,s8772,s3100,s1461,s8650,s8648,s8746,s8173,s8654]) ).

cnf(s8775,plain,
    ( ~ spl2_473
    | ~ spl2_24
    | spl2_67
    | ~ spl2_116 ),
    inference(rat,[],[s6122,s7131,s1574,s4725,s6718,s1109,s8774,s7283,s6127,s6117,s6441,s3358,s6408,s3782,s8766,s1156,s1113,s2762,s8550,s1871,s758,s221,s73,s6423,s2363,s6745,s6245,s6819,s4740,s1378,s5813,s8771,s3100,s7246,s1461,s43,s8772,s8746,s8173,s8654,s8652,s8650,s8648,s8653]) ).

cnf(s8776,plain,
    ( ~ spl2_24
    | spl2_67
    | ~ spl2_116 ),
    inference(rat,[],[s6117,s7283,s5949,s5581,s4450,s1142,s1298,s7574,s8688,s7753,s7875,s1289,s8775,s23,s5627,s3321,s13,s8068,s7162,s7043,s1169,s2092,s5334,s4002,s799,s1685,s1750,s1113,s6819,s4740,s43,s73,s6423,s7246,s295,s6402,s2363,s5813,s8771,s8772,s3100,s1461,s8654,s8746,s8650,s8173,s8648,s8653]) ).

cnf(s8777,plain,
    ( spl2_389
    | spl2_67
    | ~ spl2_116 ),
    inference(rat,[],[s5955,s3112,s7575,s7734,s6441,s2355,s6436,s3782,s1086,s8766,s3118,s1289,s1156,s8068,s7162,s7043,s1169,s2092,s5334,s4002,s799,s7246,s295,s6402,s2756,s6434,s7491,s3247,s8776,s2340,s1685,s1750,s1113,s6819,s4740,s43,s73,s6423,s2363,s5813,s8771,s3100,s1461,s8772,s8648,s8746,s8173,s8653,s8650,s8654]) ).

cnf(s8778,plain,
    ( spl2_67
    | ~ spl2_116 ),
    inference(rat,[],[s6653,s7574,s7753,s7875,s8777,s6434,s7491,s3247,s8776,s1685,s1750,s1113,s73,s6819,s6423,s4740,s807,s7246,s43,s2340,s2363,s5813,s8771,s3100,s1461,s8772,s8746,s8648,s8653,s8173]) ).

cnf(s8779,plain,
    ( ~ spl2_86
    | spl2_82
    | ~ spl2_116 ),
    inference(rat,[],[s4055,s1420,s1730,s7283,s1011,s1102,s4981,s1852,s8390,s5892,s6126,s1394,s3276,s230,s232,s4321,s165,s229,s35,s2363,s5813,s8771,s3100,s1461,s53,s8217,s7162,s3240,s43,s8772,s337,s5630,s8778,s8173,s8174,s8648,s8746]) ).

cnf(s8780,plain,
    ( spl2_292
    | spl2_393
    | spl2_389
    | spl2_542
    | ~ spl2_396
    | ~ spl2_116 ),
    inference(rat,[],[s6122,s6383,s4279,s6225,s2363,s5813,s8771,s8772,s3100,s2449,s8550,s53,s8778,s7246,s1461,s8648,s8746,s8173,s8654]) ).

cnf(s8781,plain,
    ( spl2_26
    | spl2_86
    | ~ spl2_116 ),
    inference(rat,[],[s8299,s6124,s5034,s5006,s618,s4378,s8780,s2799,s6125,s8191,s22,s3027,s3247,s1026,s2132,s6059,s8722,s1298,s3457,s5949,s6947,s6117,s7574,s2439,s4708,s2018,s5627,s1142,s3321,s8394,s6480,s1972,s1108,s214,s877,s5816,s362,s799,s38,s7043,s866,s1533,s2376,s7186,s695,s774,s5629,s13,s2050,s7150,s787,s35,s2340,s7162,s3240,s6708,s2363,s7573,s6658,s8550,s53,s7246,s6745,s6245,s349,s6819,s6755,s5027,s73,s43,s5813,s8771,s8772,s3100,s1461,s8778,s8173,s8174,s8654,s8746,s8653,s8650,s8648]) ).

cnf(s8782,plain,
    ( ~ spl2_64
    | spl2_86
    | ~ spl2_105
    | ~ spl2_268 ),
    inference(rat,[],[s2756,s4257,s3247,s2092,s5758,s1169,s8654]) ).

cnf(s8783,plain,
    ( ~ spl2_179
    | spl2_86
    | ~ spl2_116 ),
    inference(rat,[],[s5893,s3247,s695,s5049,s2376,s8771,s8772,s3240,s8778,s73,s8781,s8654,s8174,s8173]) ).

cnf(s8784,plain,
    ( spl2_82
    | ~ spl2_116 ),
    inference(rat,[],[s5949,s1298,s7574,s7753,s7875,s6407,s1142,s8714,s8783,s5627,s6117,s3321,s1730,s6881,s4056,s4330,s1086,s799,s7887,s7043,s8782,s6643,s885,s8781,s6755,s5027,s6708,s73,s8779,s5630,s337,s295,s7246,s43,s2340,s2363,s5813,s8771,s3100,s1461,s8772,s53,s7162,s3240,s8778,s8746,s8650,s8174,s8173,s8648]) ).

cnf(s8785,plain,
    ~ spl2_116,
    inference(rat,[],[s8059,s621,s8784,s7162,s3240,s8778,s1461,s8746,s8173,s8174]) ).

cnf(s8787,plain,
    spl2_8,
    inference(rat,[],[s157,s8785]) ).

cnf(s8790,plain,
    ( ~ spl2_24
    | spl2_68
    | ~ spl2_21
    | spl2_419
    | spl2_82 ),
    inference(rat,[],[s807,s7517,s5568,s7812,s7537,s7151,s5983,s3,s2076,s1441,s1893,s8746,s8787,s8648,s8650,s8654]) ).

cnf(s8791,plain,
    ( spl2_68
    | ~ spl2_21
    | spl2_268
    | spl2_82
    | spl2_67 ),
    inference(rat,[],[s7186,s3036,s6647,s4622,s423,s2363,s5566,s2340,s7683,s7491,s3247,s8790,s7180,s2977,s2825,s6338,s8654,s8746,s8173,s8648,s8653,s8787,s8650]) ).

cnf(s8792,plain,
    ( ~ spl2_21
    | spl2_268
    | spl2_67
    | spl2_82 ),
    inference(rat,[],[s3247,s8703,s8269,s8791,s8648]) ).

cnf(s8793,plain,
    ( spl2_268
    | ~ spl2_86
    | spl2_82
    | spl2_67 ),
    inference(rat,[],[s3497,s7877,s7081,s2449,s3021,s6124,s6773,s3362,s2455,s2730,s1259,s2340,s5064,s2363,s3789,s8678,s3247,s7162,s5992,s1975,s7331,s353,s223,s13,s8792,s3100,s2977,s2825,s6338,s1156,s1893,s229,s314,s337,s8650,s8785,s8746,s8654,s8787]) ).

cnf(s8794,plain,
    ( spl2_278
    | spl2_363
    | ~ spl2_268
    | ~ spl2_86
    | ~ spl2_89 ),
    inference(rat,[],[s2212,s1685,s799,s6208,s3534,s8650,s8787,s8654]) ).

cnf(s8795,plain,
    ( ~ spl2_21
    | spl2_68
    | ~ spl2_86
    | spl2_82
    | spl2_67 ),
    inference(rat,[],[s2340,s7491,s2363,s3247,s5813,s8790,s3100,s2977,s8794,s6642,s1156,s904,s8793,s1824,s8648,s8653,s8746,s8173]) ).

cnf(s8796,plain,
    ( spl2_68
    | ~ spl2_86
    | spl2_82
    | spl2_67 ),
    inference(rat,[],[s8678,s4740,s1975,s353,s223,s13,s8795,s43,s229,s8648,s8650,s8787]) ).

cnf(s8797,plain,
    ( ~ spl2_21
    | ~ spl2_86
    | spl2_82
    | spl2_67 ),
    inference(rat,[],[s5983,s7812,s1441,s2977,s3247,s8794,s8703,s6642,s1156,s807,s904,s8793,s1824,s8796,s8787,s8746,s8650,s8173]) ).

cnf(s8798,plain,
    ( ~ spl2_86
    | spl2_82
    | spl2_67 ),
    inference(rat,[],[s3110,s5334,s7570,s4002,s3972,s5049,s3789,s2756,s3247,s5992,s1975,s353,s223,s13,s8797,s8793,s229,s8650,s8787]) ).

cnf(s8799,plain,
    ( spl2_68
    | ~ spl2_26
    | spl2_82
    | spl2_67 ),
    inference(rat,[],[s7151,s2076,s5566,s8678,s1426,s2363,s6423,s73,s8798,s8648,s8787,s8173]) ).

cnf(s8800,plain,
    ( spl2_268
    | spl2_82
    | spl2_67 ),
    inference(rat,[],[s1121,s7651,s8678,s6457,s8269,s8799,s1394,s13,s8792,s1156,s1893,s3900,s73,s8798,s8787,s8648,s8173,s8654]) ).

cnf(s8801,plain,
    ( ~ spl2_73
    | spl2_82
    | spl2_67 ),
    inference(rat,[],[s1108,s5816,s799,s3534,s2977,s3100,s5813,s1974,s2363,s5726,s6423,s2576,s5566,s3970,s1156,s337,s73,s8798,s8800,s8787,s8654,s8746,s8650,s8648,s8173]) ).

cnf(s8802,plain,
    ( spl2_82
    | spl2_67 ),
    inference(rat,[],[s1121,s7651,s1426,s6457,s1955,s8799,s1394,s13,s5890,s8801,s5028,s3900,s73,s8798,s1893,s1156,s8787,s8173,s8648,s8654]) ).

cnf(s8803,plain,
    ( spl2_68
    | spl2_268
    | spl2_26
    | spl2_67 ),
    inference(rat,[],[s6293,s5435,s1975,s1154,s7081,s3247,s7127,s280,s3073,s2449,s73,s5179,s3229,s7576,s6126,s7537,s7592,s5027,s3445,s4776,s6109,s7047,s4264,s43,s1511,s2772,s3441,s694,s7570,s423,s6647,s7186,s3036,s4622,s2977,s2825,s6338,s2787,s1436,s8802,s7180,s13,s8650,s8787,s8785,s8746,s8173,s8654,s8653]) ).

cnf(s8804,plain,
    ( spl2_268
    | spl2_26
    | spl2_67 ),
    inference(rat,[],[s3110,s5992,s2730,s91,s8803,s7570,s3036,s4622,s2977,s2825,s6338,s2787,s1436,s8802,s8650,s8746,s8787,s8654,s8653]) ).

cnf(s8805,plain,
    ( spl2_68
    | spl2_26
    | spl2_67 ),
    inference(rat,[],[s5334,s3321,s73,s6764,s5027,s4712,s7047,s4264,s43,s1511,s1052,s2977,s3100,s5813,s8804,s2787,s1436,s8802,s8650,s8173,s8785,s8746,s8787,s8653]) ).

cnf(s8806,plain,
    ( ~ spl2_86
    | ~ spl2_268
    | ~ spl2_39
    | ~ spl2_21
    | ~ spl2_89 ),
    inference(rat,[],[s6642,s1930,s8794,s1685,s799,s3534,s2977,s3100,s5813,s8173,s8654,s8787,s8746]) ).

cnf(s8807,plain,
    ( spl2_26
    | spl2_67 ),
    inference(rat,[],[s2576,s4776,s5890,s7569,s5028,s3900,s73,s8806,s8805,s8804,s2787,s13,s1156,s1436,s8802,s8173,s8787,s8648,s8653]) ).

cnf(s8808,plain,
    ( ~ spl2_39
    | spl2_268
    | spl2_67 ),
    inference(rat,[],[s6293,s5435,s1154,s7081,s7127,s2449,s7592,s1898,s758,s280,s221,s73,s3073,s7576,s5027,s7586,s3049,s4776,s7593,s7047,s7186,s7570,s6819,s4264,s43,s3036,s1975,s8269,s4622,s8678,s1426,s1511,s1436,s8802,s223,s8807,s2977,s2825,s6338,s8650,s8785,s8746,s8173,s8654,s8653,s8787,s8648]) ).

cnf(s8809,plain,
    ( spl2_389
    | ~ spl2_437
    | spl2_23
    | ~ spl2_317
    | ~ spl2_118 ),
    inference(rat,[],[s5551,s3050,s2198,s8173]) ).

cnf(s8810,plain,
    ( spl2_68
    | spl2_268
    | spl2_67 ),
    inference(rat,[],[s906,s5545,s2246,s5362,s6125,s6122,s3097,s5275,s7772,s1074,s2449,s8261,s3166,s2996,s2223,s3445,s2635,s799,s1091,s3028,s7574,s3289,s7875,s8809,s1086,s8422,s8265,s423,s7576,s61,s713,s6563,s6856,s22,s6380,s758,s3247,s280,s1113,s221,s2753,s6819,s6245,s73,s5571,s4740,s6423,s4264,s43,s1429,s1156,s1511,s1436,s8802,s223,s8807,s7180,s2977,s2825,s6338,s2363,s1378,s155,s8808,s8746,s8785,s8173,s8654,s8648,s8653,s8652,s8650,s8787]) ).

cnf(s8811,plain,
    ( spl2_268
    | spl2_67 ),
    inference(rat,[],[s3364,s7162,s3032,s2576,s423,s3551,s2730,s8269,s8810,s2977,s2825,s6338,s8802,s8807,s8654,s8746,s8173,s8648,s8650,s8787]) ).

cnf(s8812,plain,
    ( spl2_389
    | spl2_23
    | spl2_39
    | spl2_76
    | ~ spl2_317
    | ~ spl2_86
    | spl2_68
    | ~ spl2_118 ),
    inference(rat,[],[s1086,s8766,s8809,s1289]) ).

cnf(s8813,plain,
    ( ~ spl2_284
    | spl2_68
    | spl2_67 ),
    inference(rat,[],[s1142,s8422,s5282,s1086,s6122,s3028,s7574,s7772,s3289,s7875,s8812,s4485,s6293,s1154,s3596,s7968,s2449,s8261,s3073,s1429,s7576,s314,s7331,s280,s799,s8668,s22,s5813,s3100,s7297,s3321,s5334,s4002,s1685,s1750,s5039,s6819,s1975,s1156,s8811,s3247,s2630,s1512,s2278,s73,s5027,s7047,s43,s885,s4264,s1511,s1436,s8802,s8807,s8654,s8173,s8746,s8785,s8787,s8650,s8653]) ).

cnf(s8814,plain,
    ( spl2_68
    | spl2_67 ),
    inference(rat,[],[s4725,s1109,s7968,s5634,s5451,s8813,s155,s5813,s3100,s7297,s8668,s3321,s1685,s5334,s1750,s4002,s5039,s6819,s1975,s3247,s2630,s1512,s2278,s73,s5027,s7047,s4264,s43,s1156,s1511,s1436,s8802,s885,s8807,s8811,s8746,s8785,s8650,s8653,s8787]) ).

cnf(s8815,plain,
    ( ~ spl2_39
    | spl2_67 ),
    inference(rat,[],[s2977,s3100,s8273,s5813,s8678,s8807,s8811,s8814,s8746,s8648]) ).

cnf(s8816,plain,
    ( ~ spl2_24
    | ~ spl2_86
    | spl2_67 ),
    inference(rat,[],[s3073,s8261,s8068,s5451,s2449,s7162,s7984,s2096,s2977,s5619,s3321,s8271,s1685,s5334,s1750,s4002,s1871,s1113,s758,s6819,s22,s1975,s1156,s1511,s1436,s8802,s8811,s6457,s8814,s1394,s8807,s1378,s6402,s2363,s8815,s8785,s8746,s8654,s8787,s8648,s8650,s8652,s8653,s8173]) ).

cnf(s8817,plain,
    ( ~ spl2_86
    | spl2_67 ),
    inference(rat,[],[s3364,s5334,s7162,s3032,s4002,s2576,s423,s5049,s3551,s3247,s8816,s8802,s8807,s8811,s8814,s8654,s8746,s8173]) ).

cnf(s8818,plain,
    spl2_67,
    inference(rat,[],[s8425,s7651,s6069,s3900,s73,s8817,s1378,s2363,s8815,s6457,s8814,s1394,s8807,s1156,s8787,s8648,s8173]) ).

cnf(s8819,plain,
    ~ spl2_83,
    inference(rat,[],[s1973,s8174,s8173,s8818]) ).

cnf(s8820,plain,
    ~ spl2_74,
    inference(rat,[],[s53,s8648,s8818]) ).

cnf(s8821,plain,
    ( ~ spl2_39
    | ~ spl2_49
    | spl2_82
    | spl2_268
    | ~ spl2_21 ),
    inference(rat,[],[s5566,s423,s5629,s6647,s73,s7186,s3789,s3036,s2469,s4622,s7180,s2977,s2825,s6338,s1942,s337,s8173,s8746,s8654,s8818,s8787,s8650]) ).

cnf(s8822,plain,
    ( spl2_82
    | spl2_268
    | spl2_26
    | spl2_68 ),
    inference(rat,[],[s280,s6819,s4868,s5742,s7552,s7162,s1108,s5566,s806,s423,s7973,s6647,s2340,s155,s2363,s8821,s3247,s8790,s4202,s13,s7180,s2977,s2825,s6338,s8653,s8787,s8173,s8746,s8818,s8820,s8785,s8650,s8654]) ).

cnf(s8823,plain,
    ( spl2_389
    | spl2_268
    | spl2_26
    | spl2_68 ),
    inference(rat,[],[s3050,s5551,s1086,s7794,s8766,s6289,s1289,s423,s6647,s155,s7180,s7576,s3918,s160,s5742,s7162,s3263,s3247,s2064,s2787,s936,s221,s222,s73,s5027,s7047,s349,s6126,s2772,s8822,s13,s43,s4202,s8173,s8787,s8818,s8820,s8785,s8648,s8653,s8650,s8746]) ).

cnf(s8825,plain,
    ( spl2_268
    | spl2_26
    | spl2_68 ),
    inference(rat,[],[s7283,s1142,s5583,s6947,s2965,s4450,s3457,s7574,s3289,s7875,s8823,s7162,s3263,s3247,s423,s2064,s6647,s2787,s155,s936,s221,s349,s222,s73,s6126,s5027,s2772,s7047,s8822,s2977,s2825,s6338,s7180,s43,s13,s8654,s8173,s8746,s8818,s8785,s8648,s8653,s8820,s8650,s8787]) ).

cnf(s8826,plain,
    ( ~ spl2_389
    | ~ spl2_23
    | spl2_288
    | ~ spl2_419
    | ~ spl2_21 ),
    inference(rat,[],[s8401,s1971,s1142,s1025,s8228,s4664,s2977,s807,s423,s8648,s8746]) ).

cnf(s8827,plain,
    ( ~ spl2_274
    | spl2_82
    | spl2_26
    | spl2_68 ),
    inference(rat,[],[s3172,s5801,s1102,s1086,s6716,s6707,s1289,s8826,s8224,s4264,s8698,s2376,s3,s6355,s1444,s5027,s6726,s1052,s76,s1333,s2977,s3099,s3100,s43,s13,s8825,s8173,s8818,s8785,s8650,s8787,s8654,s8820,s8746]) ).

cnf(s8828,plain,
    ( ~ spl2_86
    | spl2_82
    | spl2_26
    | spl2_68 ),
    inference(rat,[],[s3973,s8388,s4285,s1142,s7974,s8614,s6579,s5566,s6418,s7162,s694,s5892,s7570,s6126,s6819,s3276,s3972,s160,s904,s4321,s3789,s1824,s229,s43,s4202,s337,s155,s2340,s2363,s2756,s3247,s2064,s2787,s2977,s1052,s1444,s5983,s5813,s8827,s8825,s13,s8746,s8787,s8173,s8820,s8653,s8818,s8654,s8648,s8785]) ).

cnf(s8829,plain,
    ( spl2_82
    | spl2_26
    | spl2_68 ),
    inference(rat,[],[s3343,s3243,s6067,s5629,s5027,s73,s8828,s2064,s2787,s155,s5813,s8827,s43,s13,s8825,s8818,s8173,s8650,s8785,s8648,s8653,s8746]) ).

cnf(s8830,plain,
    ( spl2_26
    | spl2_68 ),
    inference(rat,[],[s68,s3263,s2096,s3247,s5619,s2064,s3321,s2787,s1685,s5334,s5813,s1750,s4002,s3099,s1113,s349,s76,s73,s6126,s5027,s2772,s7047,s8829,s8825,s13,s43,s8173,s8818,s8654,s8785,s8648,s8653,s8746,s8820,s8650]) ).

cnf(s8831,plain,
    ( ~ spl2_39
    | spl2_82
    | spl2_68 ),
    inference(rat,[],[s7151,s2076,s5566,s8678,s1426,s8830,s8648,s8787,s8173]) ).

cnf(s8832,plain,
    ( spl2_389
    | spl2_198
    | spl2_73
    | ~ spl2_185
    | ~ spl2_77
    | spl2_57
    | spl2_68 ),
    inference(rat,[],[s2326,s3451,s8433,s5432,s6289,s8225,s4202,s885,s8830,s8818,s8650,s8787]) ).

cnf(s8833,plain,
    ( spl2_82
    | spl2_268
    | spl2_68 ),
    inference(rat,[],[s4450,s8433,s7574,s1025,s7875,s8832,s2630,s3551,s3247,s5300,s6581,s1108,s5029,s806,s6447,s6708,s2340,s2363,s8831,s5027,s73,s1942,s229,s337,s4202,s4321,s1394,s8830,s7180,s2977,s2825,s6338,s8654,s8818,s8746,s8173,s8785,s8820,s8650,s8787]) ).

cnf(s8834,plain,
    ( spl2_73
    | ~ spl2_82
    | spl2_68 ),
    inference(rat,[],[s5069,s806,s2635,s799,s5289,s7043,s3032,s423,s3551,s2064,s7151,s7162,s4202,s8830,s8746,s8818,s8654,s8173,s8785,s8648,s8787]) ).

cnf(s8835,plain,
    ( ~ spl2_39
    | ~ spl2_24
    | spl2_141
    | ~ spl2_86
    | ~ spl2_277 ),
    inference(rat,[],[s799,s806,s2773,s5069,s5598,s2569,s8746,s8818,s8654]) ).

cnf(s8836,plain,
    ( spl2_268
    | spl2_68 ),
    inference(rat,[],[s1108,s806,s799,s3028,s1086,s7574,s8422,s3289,s7875,s8265,s8812,s280,s423,s6819,s6563,s1651,s22,s155,s8835,s149,s7576,s3247,s314,s3263,s7331,s8834,s221,s73,s5027,s7047,s8833,s2977,s2825,s6338,s7180,s43,s223,s1394,s8830,s8746,s8818,s8654,s8173,s8653,s8785,s8650,s8787]) ).

cnf(s8837,plain,
    ( spl2_73
    | spl2_82
    | spl2_68 ),
    inference(rat,[],[s4450,s8433,s7574,s1025,s7875,s6407,s1142,s5029,s8714,s5627,s799,s6117,s3321,s2977,s7043,s8076,s4257,s1052,s423,s6565,s2630,s5049,s2756,s1444,s3551,s3247,s3,s5893,s4264,s7162,s4202,s885,s8836,s155,s2340,s6708,s2363,s6819,s6643,s6067,s5027,s73,s229,s4321,s1394,s43,s8831,s8830,s8654,s8818,s8746,s8173,s8787,s8650,s8653,s8820,s8785]) ).

cnf(s8838,plain,
    ( spl2_82
    | spl2_68 ),
    inference(rat,[],[s6858,s3143,s5568,s8837,s6067,s5027,s73,s8831,s229,s43,s4321,s1394,s8830,s8650,s8818,s8173]) ).

cnf(s8839,plain,
    ( ~ spl2_23
    | spl2_68 ),
    inference(rat,[],[s906,s5248,s1154,s2449,s7127,s3596,s3073,s7429,s423,s1512,s2278,s885,s5426,s3885,s3,s1441,s280,s2977,s1052,s6764,s3321,s5334,s4002,s1113,s6819,s1651,s7576,s314,s7331,s5813,s3099,s76,s3247,s3263,s8834,s1394,s8830,s8836,s73,s5027,s7047,s8838,s43,s8820,s8654,s8746,s8785,s8650,s8653,s8173,s8818,s8787]) ).

cnf(s8840,plain,
    spl2_68,
    inference(rat,[],[s1034,s2028,s1086,s1091,s7574,s3289,s7875,s8812,s8839,s2977,s1052,s6764,s3321,s5334,s4002,s280,s1113,s6819,s1651,s7576,s5813,s314,s149,s3099,s7331,s3247,s76,s73,s3263,s5027,s8834,s7047,s8838,s8836,s1394,s8830,s43,s8818,s8173,s8746,s8653,s8650,s8787,s8785]) ).

cnf(s8842,plain,
    spl2_82,
    inference(rat,[],[s6808,s8819,s8840]) ).

cnf(s8843,plain,
    ~ spl2_185,
    inference(rat,[],[s279,s8818,s8840]) ).

cnf(s8844,plain,
    ~ spl2_419,
    inference(rat,[],[s2920,s8818,s8840]) ).

cnf(s8845,plain,
    ~ spl2_349,
    inference(rat,[],[s7603,s8746,s8818,s8840]) ).

cnf(s8850,plain,
    ~ spl2_248,
    inference(rat,[],[s2730,s8746,s8840,s8844]) ).

cnf(s8852,plain,
    ~ spl2_39,
    inference(rat,[],[s7862,s8746,s8818,s8840,s8844]) ).

cnf(s8854,plain,
    spl2_347,
    inference(rat,[],[s799,s8845]) ).

cnf(s8857,plain,
    ~ spl2_255,
    inference(rat,[],[s7984,s8820,s8746,s8844,s8840,s8845,s8850]) ).

cnf(s8866,plain,
    ~ spl2_252,
    inference(rat,[],[s2641,s8654,s8854]) ).

cnf(s8868,plain,
    spl2_520,
    inference(rat,[],[s6696,s8850,s8854]) ).

cnf(s8870,plain,
    spl2_297,
    inference(rat,[],[s2449,s8857]) ).

cnf(s8875,plain,
    ~ spl2_63,
    inference(rat,[],[s2096,s8654,s8842,s8868]) ).

cnf(s8877,plain,
    spl2_73,
    inference(rat,[],[s7162,s8875]) ).

cnf(s8880,plain,
    ~ spl2_23,
    inference(rat,[],[s2576,s8840,s8877]) ).

cnf(s8885,plain,
    spl2_26,
    inference(rat,[],[s3336,s1052,s3243,s694,s1444,s2064,s3441,s5983,s2787,s13,s8173,s8877,s8818,s8654,s8785,s8648,s8845,s8842,s8852,s8787,s8653]) ).

cnf(s8890,plain,
    spl2_24,
    inference(rat,[],[s3551,s8173,s8880,s8885]) ).

cnf(s8897,plain,
    ~ spl2_6,
    inference(rat,[],[s1441,s8650,s8890]) ).

cnf(s8898,plain,
    spl2_268,
    inference(rat,[],[s8269,s8648,s8840,s8890]) ).

cnf(s8900,plain,
    spl2_118,
    inference(rat,[],[s149,s8787,s8650,s8890]) ).

cnf(s8905,plain,
    spl2_92,
    inference(rat,[],[s6880,s8852,s8890]) ).

cnf(s8906,plain,
    spl2_38,
    inference(rat,[],[s22,s8852,s8890]) ).

cnf(s8908,plain,
    ~ spl2_12,
    inference(rat,[],[s7668,s8787,s8852,s8890]) ).

cnf(s8916,plain,
    spl2_7,
    inference(rat,[],[s3,s8787,s8897]) ).

cnf(s8920,plain,
    spl2_284,
    inference(rat,[],[s5451,s8857,s8916]) ).

cnf(s8922,plain,
    spl2_198,
    inference(rat,[],[s7605,s8877,s8885,s8920]) ).

cnf(s8923,plain,
    ~ spl2_622,
    inference(rat,[],[s5418,s8885,s8920]) ).

cnf(s8924,plain,
    spl2_289,
    inference(rat,[],[s3073,s8922,s8920]) ).

cnf(s8926,plain,
    ~ spl2_287,
    inference(rat,[],[s2315,s8748,s8920]) ).

cnf(s8927,plain,
    ~ spl2_109,
    inference(rat,[],[s3064,s8922]) ).

cnf(s8929,plain,
    ~ spl2_253,
    inference(rat,[],[s707,s8908,s8924]) ).

cnf(s8933,plain,
    spl2_286,
    inference(rat,[],[s5248,s8906,s8870,s8924]) ).

cnf(s8937,plain,
    ~ spl2_439,
    inference(rat,[],[s2192,s8900,s8785,s8927]) ).

cnf(s8950,plain,
    ( spl2_179
    | ~ spl2_86 ),
    inference(rat,[],[s7130,s4725,s6125,s1109,s7762,s8924,s8854,s8654,s8933,s8820,s8898]) ).

cnf(s8951,plain,
    ~ spl2_86,
    inference(rat,[],[s6819,s3051,s1113,s2376,s8950,s8653,s8890,s8654,s8854,s8898]) ).

cnf(s8953,plain,
    spl2_60,
    inference(rat,[],[s73,s8951]) ).

cnf(s8959,plain,
    ~ spl2_110,
    inference(rat,[],[s4844,s8850,s8842,s8953]) ).

cnf(s8966,plain,
    ~ spl2_288,
    inference(rat,[],[s696,s8890,s8959]) ).

cnf(s8972,plain,
    ~ spl2_265,
    inference(rat,[],[s4483,s8926,s8933,s8966]) ).

cnf(s8979,plain,
    spl2_266,
    inference(rat,[],[s6125,s8820,s8972]) ).

cnf(s8986,plain,
    spl2_295,
    inference(rat,[],[s7130,s8654,s8854,s8924,s8979]) ).

cnf(s8988,plain,
    ~ spl2_376,
    inference(rat,[],[s1154,s8843,s8986]) ).

cnf(s8994,plain,
    ~ spl2_251,
    inference(rat,[],[s1182,s8986,s8988]) ).

cnf(s8998,plain,
    ~ spl2_137,
    inference(rat,[],[s637,s8994]) ).

cnf(s9009,plain,
    ~ spl2_348,
    inference(rat,[],[s838,s8866,s8842,s8998]) ).

cnf(s9014,plain,
    spl2_389,
    inference(rat,[],[s7203,s3447,s7307,s6127,s3095,s6718,s1281,s5416,s2196,s5432,s2198,s8229,s1289,s8924,s8654,s8972,s9009,s8898,s8820,s8929,s8933,s8937,s8905,s8923,s8922,s8650,s8900,s8818,s8877,s8785]) ).

cnf(s9015,plain,
    ~ spl2_314,
    inference(rat,[],[s7875,s8844,s8746,s9014]) ).

cnf(s9017,plain,
    spl2_400,
    inference(rat,[],[s3289,s8880,s8173,s9014]) ).

cnf(s9020,plain,
    spl2_313,
    inference(rat,[],[s7574,s9015]) ).

cnf(s9023,plain,
    ~ spl2_437,
    inference(rat,[],[s1091,s9017,s8850,s8842,s9020]) ).

cnf(s9024,plain,
    spl2_395,
    inference(rat,[],[s1086,s9023]) ).

cnf(s9027,plain,
    ~ spl2_417,
    inference(rat,[],[s2028,s8843,s9024]) ).

cnf(s9028,plain,
    $false,
    inference(rat,[],[s1034,s8818,s9014,s9024,s9027]) ).

thf(f68786,plain,
    $false,
    inference(avatar_sat_refutation,[],[s9028]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GRA110^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26  % Computer : n011.cluster.edu
% 0.11/0.26  % Model    : x86_64 x86_64
% 0.11/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26  % Memory   : 8046.5625MB
% 0.11/0.26  % OS       : Linux 6.8.0-71-generic
% 0.11/0.27  % CPULimit : 300
% 0.11/0.27  % WCLimit  : 300
% 0.11/0.27  % DateTime : Tue Sep 29 18:59:16 UTC 2026
% 0.11/0.27  % CPUTime  : 
% 0.11/0.27  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.32  Running higher-order theorem proving
% 0.27/0.33  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.50  % (508661)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.50  % (508667)lrs+10_16_si=on:nwc=1.5:random_seed=2186901231:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.50  % (508667)Instruction limit reached! 
% 0.32/0.50  % (508667)------------------------------
% 0.32/0.50  % (508667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.50  % (508667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.50  % (508672)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.50  % (508667)CaDiCaL version: 2.1.3
% 0.32/0.50  % (508667)Termination reason: Instruction limit
% 0.32/0.50  % (508667)Termination phase: Saturation
% 0.32/0.50  % (508667)Time elapsed: 0.009 s
% 0.32/0.50  % (508667)Peak memory usage: 12 MB
% 0.32/0.50  % (508667)Instructions burned: 21 (million)
% 0.32/0.50  % (508672)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
% 0.32/0.50  % (508666)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1968914823:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.50  % (508668)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1905725947:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.50  % (508669)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=424099202: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)
% 0.32/0.50  % (508670)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2655687711:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.50  % (508672)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=1781000263:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.50  % (508671)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3245856109:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.50  % (508668)Instruction limit reached! 
% 0.32/0.50  % (508668)------------------------------
% 0.32/0.50  % (508668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.50  % (508668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.50  % (508668)CaDiCaL version: 2.1.3
% 0.32/0.50  % (508668)Termination reason: Instruction limit
% 0.32/0.50  % (508668)Termination phase: Saturation
% 0.32/0.50  % (508668)Time elapsed: 0.004 s
% 0.32/0.50  % (508668)Peak memory usage: 12 MB
% 0.32/0.50  % (508668)Instructions burned: 3 (million)
% 0.32/0.50  % (508674)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3256992865:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.50  % (508674)Instruction limit reached! 
% 0.32/0.50  % (508674)------------------------------
% 0.32/0.50  % (508674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.50  % (508674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.50  % (508674)CaDiCaL version: 2.1.3
% 0.32/0.50  % (508674)Termination reason: Instruction limit
% 0.32/0.50  % (508674)Termination phase: Saturation
% 0.32/0.50  % (508674)Time elapsed: 0.002 s
% 0.32/0.50  % (508674)Peak memory usage: 12 MB
% 0.32/0.50  % (508674)Instructions burned: 3 (million)
% 0.32/0.50  % (508670)Instruction limit reached! 
% 0.32/0.50  % (508670)------------------------------
% 0.32/0.50  % (508670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.50  % (508670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.50  % (508670)CaDiCaL version: 2.1.3
% 0.32/0.50  % (508670)Termination reason: Instruction limit
% 0.32/0.50  % (508670)Termination phase: Saturation
% 0.32/0.50  % (508670)Time elapsed: 0.022 s
% 0.32/0.50  % (508670)Peak memory usage: 12 MB
% 0.32/0.50  % (508670)Instructions burned: 24 (million)
% 0.32/0.50  % (508683)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.50  % (508683)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2297100633:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.18/0.54  % (508681)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3628626062:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.18/0.54  % (508683)Instruction limit reached! 
% 1.18/0.54  % (508683)------------------------------
% 1.18/0.54  % (508683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54  % (508683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54  % (508683)CaDiCaL version: 2.1.3
% 1.18/0.54  % (508683)Termination reason: Instruction limit
% 1.18/0.54  % (508683)Termination phase: Saturation
% 1.18/0.54  % (508683)Time elapsed: 0.004 s
% 1.18/0.54  % (508683)Peak memory usage: 12 MB
% 1.18/0.54  % (508683)Instructions burned: 8 (million)
% 1.18/0.54  % (508681)Instruction limit reached! 
% 1.18/0.54  % (508681)------------------------------
% 1.18/0.54  % (508681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54  % (508681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54  % (508681)CaDiCaL version: 2.1.3
% 1.18/0.54  % (508681)Termination reason: Instruction limit
% 1.18/0.54  % (508681)Termination phase: Saturation
% 1.18/0.54  % (508681)Time elapsed: 0.006 s
% 1.18/0.54  % (508681)Peak memory usage: 12 MB
% 1.18/0.54  % (508681)Instructions burned: 6 (million)
% 1.18/0.54  % (508687)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
% 1.18/0.54  % (508687)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.18/0.54  % (508687)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2211793718:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.18/0.54  % (508684)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3959496487:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.18/0.54  % (508666)Instruction limit reached! 
% 1.18/0.54  % (508666)------------------------------
% 1.18/0.54  % (508666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54  % (508666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54  % (508666)CaDiCaL version: 2.1.3
% 1.18/0.54  % (508666)Termination reason: Instruction limit
% 1.18/0.54  % (508666)Termination phase: Saturation
% 1.18/0.54  % (508666)Time elapsed: 0.061 s
% 1.18/0.54  % (508666)Peak memory usage: 12 MB
% 1.18/0.54  % (508666)Instructions burned: 89 (million)
% 1.18/0.54  % (508671)Instruction limit reached! 
% 1.18/0.54  % (508671)------------------------------
% 1.18/0.54  % (508671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54  % (508671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54  % (508671)CaDiCaL version: 2.1.3
% 1.18/0.54  % (508671)Termination reason: Instruction limit
% 1.18/0.54  % (508671)Termination phase: Saturation
% 1.18/0.54  % (508671)Time elapsed: 0.062 s
% 1.18/0.54  % (508671)Peak memory usage: 12 MB
% 1.18/0.54  % (508671)Instructions burned: 75 (million)
% 1.18/0.54  % (508687)Instruction limit reached! 
% 1.18/0.54  % (508687)------------------------------
% 1.18/0.54  % (508687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54  % (508687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54  % (508687)CaDiCaL version: 2.1.3
% 1.18/0.54  % (508687)Termination reason: Instruction limit
% 1.18/0.54  % (508687)Termination phase: Saturation
% 1.18/0.54  % (508687)Time elapsed: 0.013 s
% 1.18/0.54  % (508687)Peak memory usage: 12 MB
% 1.18/0.54  % (508687)Instructions burned: 30 (million)
% 1.18/0.54  % (508684)Instruction limit reached! 
% 1.18/0.54  % (508684)------------------------------
% 1.18/0.54  % (508684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54  % (508684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54  % (508684)CaDiCaL version: 2.1.3
% 1.18/0.54  % (508684)Termination reason: Instruction limit
% 1.18/0.54  % (508684)Termination phase: Saturation
% 1.18/0.54  % (508684)Time elapsed: 0.012 s
% 1.18/0.54  % (508684)Peak memory usage: 12 MB
% 1.18/0.54  % (508684)Instructions burned: 12 (million)
% 1.18/0.58  % (508688)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=955541642:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.18/0.58  % (508692)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.18/0.58  % (508692)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=2512572317:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.18/0.58  % (508692)Instruction limit reached! 
% 1.18/0.58  % (508692)------------------------------
% 1.18/0.58  % (508692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.58  % (508692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.58  % (508692)CaDiCaL version: 2.1.3
% 1.18/0.58  % (508692)Termination reason: Instruction limit
% 1.18/0.58  % (508692)Termination phase: Saturation
% 1.18/0.58  % (508692)Time elapsed: 0.003 s
% 1.18/0.58  % (508692)Peak memory usage: 11 MB
% 1.18/0.58  % (508692)Instructions burned: 6 (million)
% 1.18/0.58  % (508691)lrs+10_1_si=on:cs=on:random_seed=478159629:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.18/0.58  % (508693)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1012214537:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.18/0.58  % (508693)Refutation not found, incomplete strategy
% 1.18/0.58  % (508693)------------------------------
% 1.18/0.58  % (508693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.58  % (508693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.58  % (508693)CaDiCaL version: 2.1.3
% 1.18/0.58  % (508693)Termination reason: Refutation not found, incomplete strategy
% 1.18/0.58  % (508693)Time elapsed: 0.001 s
% 1.18/0.58  % (508694)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=70319591:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.18/0.58  % (508693)Peak memory usage: 11 MB
% 1.18/0.58  % (508693)Instructions burned: 1 (million)
% 1.18/0.58  % (508672)Instruction limit reached! 
% 1.18/0.58  % (508672)------------------------------
% 1.18/0.58  % (508672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.58  % (508672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.58  % (508672)CaDiCaL version: 2.1.3
% 1.18/0.58  % (508672)Termination reason: Instruction limit
% 1.18/0.58  % (508672)Termination phase: Saturation
% 1.18/0.58  % (508672)Time elapsed: 0.100 s
% 1.18/0.58  % (508672)Peak memory usage: 13 MB
% 1.18/0.58  % (508672)Instructions burned: 158 (million)
% 1.18/0.58  % (508693)------------------------------
% 1.18/0.58  % (508693)------------------------------
% 1.18/0.58  % (508694)Refutation not found, incomplete strategy
% 1.18/0.58  % (508694)------------------------------
% 1.18/0.58  % (508694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.58  % (508694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.58  % (508694)CaDiCaL version: 2.1.3
% 1.18/0.58  % (508694)Termination reason: Refutation not found, incomplete strategy
% 1.18/0.58  % (508694)Time elapsed: 0.002 s
% 1.18/0.58  % (508694)Peak memory usage: 12 MB
% 1.18/0.58  % (508694)Instructions burned: 1 (million)
% 1.18/0.58  % (508697)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2884374442:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.18/0.58  % (508691)Instruction limit reached! 
% 1.18/0.58  % (508691)------------------------------
% 1.18/0.58  % (508691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.58  % (508691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.58  % (508691)CaDiCaL version: 2.1.3
% 1.18/0.58  % (508691)Termination reason: Instruction limit
% 1.18/0.58  % (508691)Termination phase: Saturation
% 1.18/0.58  % (508691)Time elapsed: 0.008 s
% 1.18/0.58  % (508691)Peak memory usage: 12 MB
% 1.18/0.58  % (508691)Instructions burned: 8 (million)
% 1.18/0.58  % (508694)------------------------------
% 1.18/0.58  % (508694)------------------------------
% 1.18/0.58  % (508697)Refutation not found, incomplete strategy
% 1.18/0.58  % (508697)------------------------------
% 1.18/0.58  % (508697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.66  % (508697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.66  % (508697)CaDiCaL version: 2.1.3
% 2.07/0.66  % (508697)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.66  % (508697)Time elapsed: 0.001 s
% 2.07/0.66  % (508697)Peak memory usage: 12 MB
% 2.07/0.66  % (508697)Instructions burned: 1 (million)
% 2.07/0.66  % (508697)------------------------------
% 2.07/0.66  % (508697)------------------------------
% 2.07/0.66  % (508706)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2846689377:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.07/0.66  % (508702)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1944521084:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.07/0.66  % (508703)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3143352003:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.07/0.66  % (508703)Refutation not found, incomplete strategy
% 2.07/0.66  % (508703)------------------------------
% 2.07/0.66  % (508703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.66  % (508703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.66  % (508703)CaDiCaL version: 2.1.3
% 2.07/0.66  % (508703)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.66  % (508703)Time elapsed: 0.002 s
% 2.07/0.66  % (508703)Peak memory usage: 11 MB
% 2.07/0.66  % (508703)Instructions burned: 1 (million)
% 2.07/0.66  % (508705)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3671579014: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)
% 2.07/0.66  % (508704)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3019573273:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.07/0.66  % (508703)------------------------------
% 2.07/0.66  % (508703)------------------------------
% 2.07/0.66  % (508705)Refutation not found, incomplete strategy
% 2.07/0.66  % (508705)------------------------------
% 2.07/0.66  % (508705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.66  % (508705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.66  % (508705)CaDiCaL version: 2.1.3
% 2.07/0.66  % (508705)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.66  % (508705)Time elapsed: 0.001 s
% 2.07/0.66  % (508705)Peak memory usage: 11 MB
% 2.07/0.66  % (508706)Instruction limit reached! 
% 2.07/0.66  % (508706)------------------------------
% 2.07/0.66  % (508706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.66  % (508706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.66  % (508706)CaDiCaL version: 2.1.3
% 2.07/0.66  % (508706)Termination reason: Instruction limit
% 2.07/0.66  % (508706)Termination phase: Saturation
% 2.07/0.66  % (508706)Time elapsed: 0.013 s
% 2.07/0.66  % (508706)Peak memory usage: 12 MB
% 2.07/0.66  % (508706)Instructions burned: 26 (million)
% 2.07/0.66  % (508705)------------------------------
% 2.07/0.66  % (508705)------------------------------
% 2.07/0.66  % (508688)Instruction limit reached! 
% 2.07/0.66  % (508688)------------------------------
% 2.07/0.66  % (508688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.66  % (508688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.66  % (508688)CaDiCaL version: 2.1.3
% 2.07/0.66  % (508688)Termination reason: Instruction limit
% 2.07/0.66  % (508688)Termination phase: Saturation
% 2.07/0.66  % (508688)Time elapsed: 0.072 s
% 2.07/0.66  % (508688)Peak memory usage: 12 MB
% 2.07/0.66  % (508688)Instructions burned: 86 (million)
% 2.07/0.66  % (508702)Instruction limit reached! 
% 2.07/0.66  % (508702)------------------------------
% 2.07/0.66  % (508702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.66  % (508702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.66  % (508702)CaDiCaL version: 2.1.3
% 2.07/0.66  % (508702)Termination reason: Instruction limit
% 2.07/0.66  % (508702)Termination phase: Saturation
% 2.07/0.66  % (508702)Time elapsed: 0.014 s
% 2.07/0.66  % (508702)Peak memory usage: 12 MB
% 2.07/0.66  % (508702)Instructions burned: 15 (million)
% 2.07/0.66  % (508704)Instruction limit reached! 
% 2.07/0.66  % (508704)------------------------------
% 2.32/0.70  % (508704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.70  % (508704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.70  % (508704)CaDiCaL version: 2.1.3
% 2.32/0.70  % (508704)Termination reason: Instruction limit
% 2.32/0.70  % (508704)Termination phase: Saturation
% 2.32/0.70  % (508704)Time elapsed: 0.013 s
% 2.32/0.70  % (508704)Peak memory usage: 12 MB
% 2.32/0.70  % (508704)Instructions burned: 14 (million)
% 2.32/0.70  % (508713)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=160991799:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.32/0.70  % (508714)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
% 2.32/0.70  % (508714)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.32/0.70  % (508712)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3947665746:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.32/0.70  % (508714)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=656582577:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.32/0.70  % (508715)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.32/0.70  % (508715)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=4007003568:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.32/0.70  % (508716)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=3405231001:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.32/0.70  % (508717)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=531203675:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.32/0.70  % (508713)Instruction limit reached! 
% 2.32/0.70  % (508713)------------------------------
% 2.32/0.70  % (508713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.70  % (508713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.70  % (508713)CaDiCaL version: 2.1.3
% 2.32/0.70  % (508713)Termination reason: Instruction limit
% 2.32/0.70  % (508713)Termination phase: Saturation
% 2.32/0.70  % (508713)Time elapsed: 0.028 s
% 2.32/0.70  % (508713)Peak memory usage: 12 MB
% 2.32/0.70  % (508713)Instructions burned: 62 (million)
% 2.32/0.70  % (508714)Instruction limit reached! 
% 2.32/0.70  % (508714)------------------------------
% 2.32/0.70  % (508714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.70  % (508714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.70  % (508714)CaDiCaL version: 2.1.3
% 2.32/0.70  % (508714)Termination reason: Instruction limit
% 2.32/0.70  % (508714)Termination phase: Saturation
% 2.32/0.70  % (508714)Time elapsed: 0.014 s
% 2.32/0.70  % (508714)Peak memory usage: 12 MB
% 2.32/0.70  % (508714)Instructions burned: 14 (million)
% 2.32/0.70  % (508715)Instruction limit reached! 
% 2.32/0.70  % (508715)------------------------------
% 2.32/0.70  % (508715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.70  % (508715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.70  % (508715)CaDiCaL version: 2.1.3
% 2.32/0.70  % (508715)Termination reason: Instruction limit
% 2.32/0.70  % (508715)Termination phase: Saturation
% 2.32/0.70  % (508715)Time elapsed: 0.008 s
% 2.32/0.70  % (508715)Peak memory usage: 12 MB
% 2.32/0.70  % (508715)Instructions burned: 8 (million)
% 2.32/0.70  % (508712)Instruction limit reached! 
% 2.32/0.70  % (508712)------------------------------
% 2.32/0.70  % (508712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.70  % (508712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.70  % (508712)CaDiCaL version: 2.1.3
% 2.32/0.70  % (508712)Termination reason: Instruction limit
% 2.32/0.70  % (508712)Termination phase: Saturation
% 2.32/0.70  % (508712)Time elapsed: 0.018 s
% 2.32/0.77  % (508712)Peak memory usage: 11 MB
% 2.32/0.77  % (508712)Instructions burned: 23 (million)
% 2.32/0.77  % (508717)Instruction limit reached! 
% 2.32/0.77  % (508717)------------------------------
% 2.32/0.77  % (508717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77  % (508717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77  % (508717)CaDiCaL version: 2.1.3
% 2.32/0.77  % (508717)Termination reason: Instruction limit
% 2.32/0.77  % (508717)Termination phase: Saturation
% 2.32/0.77  % (508717)Time elapsed: 0.007 s
% 2.32/0.77  % (508717)Peak memory usage: 12 MB
% 2.32/0.77  % (508717)Instructions burned: 7 (million)
% 2.32/0.77  % (508726)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2309507585:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.32/0.77  % (508716)Instruction limit reached! 
% 2.32/0.77  % (508716)------------------------------
% 2.32/0.77  % (508716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77  % (508716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77  % (508716)CaDiCaL version: 2.1.3
% 2.32/0.77  % (508716)Termination reason: Instruction limit
% 2.32/0.77  % (508716)Termination phase: Saturation
% 2.32/0.77  % (508716)Time elapsed: 0.028 s
% 2.32/0.77  % (508716)Peak memory usage: 12 MB
% 2.32/0.77  % (508716)Instructions burned: 31 (million)
% 2.32/0.77  % (508724)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3329464151:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.32/0.77  % (508725)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=47564457:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.32/0.77  % (508727)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=688717353:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.32/0.77  % (508728)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2274131884:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.32/0.77  % (508728)Refutation not found, incomplete strategy
% 2.32/0.77  % (508728)------------------------------
% 2.32/0.77  % (508728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77  % (508728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77  % (508728)CaDiCaL version: 2.1.3
% 2.32/0.77  % (508728)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.77  % (508728)Time elapsed: 0.002 s
% 2.32/0.77  % (508728)Peak memory usage: 11 MB
% 2.32/0.77  % (508728)Instructions burned: 1 (million)
% 2.32/0.77  % (508728)------------------------------
% 2.32/0.77  % (508728)------------------------------
% 2.32/0.77  % (508724)Instruction limit reached! 
% 2.32/0.77  % (508724)------------------------------
% 2.32/0.77  % (508724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77  % (508724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77  % (508724)CaDiCaL version: 2.1.3
% 2.32/0.77  % (508724)Termination reason: Instruction limit
% 2.32/0.77  % (508724)Termination phase: Saturation
% 2.32/0.77  % (508724)Time elapsed: 0.019 s
% 2.32/0.77  % (508724)Peak memory usage: 11 MB
% 2.32/0.77  % (508724)Instructions burned: 24 (million)
% 2.32/0.77  % (508725)Instruction limit reached! 
% 2.32/0.77  % (508725)------------------------------
% 2.32/0.77  % (508725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.77  % (508725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.77  % (508730)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3206811612:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.32/0.77  % (508725)CaDiCaL version: 2.1.3
% 2.32/0.77  % (508725)Termination reason: Instruction limit
% 2.32/0.77  % (508725)Termination phase: Saturation
% 2.32/0.77  % (508725)Time elapsed: 0.020 s
% 2.32/0.77  % (508725)Peak memory usage: 12 MB
% 2.32/0.77  % (508725)Instructions burned: 20 (million)
% 2.32/0.77  % (508735)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.32/0.77  % (508735)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1854174416:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.32/0.77  % (508735)Instruction limit reached! 
% 2.81/0.88  % (508735)------------------------------
% 2.81/0.88  % (508735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88  % (508735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.88  % (508735)CaDiCaL version: 2.1.3
% 2.81/0.88  % (508735)Termination reason: Instruction limit
% 2.81/0.88  % (508735)Termination phase: Saturation
% 2.81/0.88  % (508735)Time elapsed: 0.007 s
% 2.81/0.88  % (508735)Peak memory usage: 12 MB
% 2.81/0.88  % (508735)Instructions burned: 7 (million)
% 2.81/0.88  % (508736)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1465647859:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.81/0.88  % (508738)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=4229383484: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)
% 2.81/0.88  % (508736)Refutation not found, incomplete strategy
% 2.81/0.88  % (508736)------------------------------
% 2.81/0.88  % (508736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88  % (508736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.88  % (508736)CaDiCaL version: 2.1.3
% 2.81/0.88  % (508736)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.88  % (508736)Time elapsed: 0.001 s
% 2.81/0.88  % (508736)Peak memory usage: 11 MB
% 2.81/0.88  % (508736)Instructions burned: 1 (million)
% 2.81/0.88  % (508736)------------------------------
% 2.81/0.88  % (508736)------------------------------
% 2.81/0.88  % (508738)Refutation not found, incomplete strategy
% 2.81/0.88  % (508738)------------------------------
% 2.81/0.88  % (508738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88  % (508738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.88  % (508738)CaDiCaL version: 2.1.3
% 2.81/0.88  % (508738)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.88  % (508738)Time elapsed: 0.001 s
% 2.81/0.88  % (508738)Peak memory usage: 11 MB
% 2.81/0.88  % (508738)Instructions burned: 1 (million)
% 2.81/0.88  % (508738)------------------------------
% 2.81/0.88  % (508738)------------------------------
% 2.81/0.88  % (508730)Instruction limit reached! 
% 2.81/0.88  % (508730)------------------------------
% 2.81/0.88  % (508730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88  % (508730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.88  % (508730)CaDiCaL version: 2.1.3
% 2.81/0.88  % (508730)Termination reason: Instruction limit
% 2.81/0.88  % (508730)Termination phase: Saturation
% 2.81/0.88  % (508730)Time elapsed: 0.036 s
% 2.81/0.88  % (508730)Peak memory usage: 12 MB
% 2.81/0.88  % (508730)Instructions burned: 42 (million)
% 2.81/0.88  % (508740)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.81/0.88  % (508740)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=817936592:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.81/0.88  % (508740)Refutation not found, incomplete strategy
% 2.81/0.88  % (508740)------------------------------
% 2.81/0.88  % (508740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88  % (508740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.88  % (508740)CaDiCaL version: 2.1.3
% 2.81/0.88  % (508740)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.88  % (508740)Time elapsed: 0.002 s
% 2.81/0.88  % (508740)Peak memory usage: 11 MB
% 2.81/0.88  % (508740)Instructions burned: 2 (million)
% 2.81/0.88  % (508740)------------------------------
% 2.81/0.88  % (508740)------------------------------
% 2.81/0.88  % (508743)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=302495638:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.81/0.88  % (508744)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=417851390:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.81/0.88  % (508727)Instruction limit reached! 
% 2.81/0.88  % (508727)------------------------------
% 2.81/0.88  % (508727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.88  % (508727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.96  % (508727)CaDiCaL version: 2.1.3
% 3.02/0.96  % (508727)Termination reason: Instruction limit
% 3.02/0.96  % (508727)Termination phase: Saturation
% 3.02/0.96  % (508727)Time elapsed: 0.091 s
% 3.02/0.96  % (508727)Peak memory usage: 12 MB
% 3.02/0.96  % (508727)Instructions burned: 143 (million)
% 3.02/0.96  % (508744)Refutation not found, incomplete strategy
% 3.02/0.96  % (508744)------------------------------
% 3.02/0.96  % (508744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.96  % (508745)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=3896929636:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.02/0.96  % (508744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.96  % (508744)CaDiCaL version: 2.1.3
% 3.02/0.96  % (508744)Termination reason: Refutation not found, incomplete strategy
% 3.02/0.96  % (508744)Time elapsed: 0.004 s
% 3.02/0.96  % (508744)Peak memory usage: 12 MB
% 3.02/0.96  % (508744)Instructions burned: 3 (million)
% 3.02/0.96  % (508744)------------------------------
% 3.02/0.96  % (508744)------------------------------
% 3.02/0.96  % (508743)Instruction limit reached! 
% 3.02/0.96  % (508743)------------------------------
% 3.02/0.96  % (508743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.96  % (508743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.96  % (508743)CaDiCaL version: 2.1.3
% 3.02/0.96  % (508743)Termination reason: Instruction limit
% 3.02/0.96  % (508743)Termination phase: Saturation
% 3.02/0.96  % (508743)Time elapsed: 0.020 s
% 3.02/0.96  % (508743)Peak memory usage: 12 MB
% 3.02/0.96  % (508743)Instructions burned: 23 (million)
% 3.02/0.96  % (508747)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=1588086569:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.02/0.96  % (508751)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=4024003862:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.02/0.96  % (508752)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3026658161:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.02/0.96  % (508669)Instruction limit reached! 
% 3.02/0.96  % (508669)------------------------------
% 3.02/0.96  % (508669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.96  % (508669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.96  % (508669)CaDiCaL version: 2.1.3
% 3.02/0.96  % (508669)Termination reason: Instruction limit
% 3.02/0.96  % (508669)Termination phase: Saturation
% 3.02/0.96  % (508669)Time elapsed: 0.348 s
% 3.02/0.96  % (508669)Peak memory usage: 13 MB
% 3.02/0.96  % (508669)Instructions burned: 634 (million)
% 3.02/0.96  % (508752)Refutation not found, incomplete strategy
% 3.02/0.96  % (508752)------------------------------
% 3.02/0.96  % (508752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.96  % (508752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.96  % (508752)CaDiCaL version: 2.1.3
% 3.02/0.96  % (508752)Termination reason: Refutation not found, incomplete strategy
% 3.02/0.96  % (508752)Time elapsed: 0.003 s
% 3.02/0.96  % (508752)Peak memory usage: 12 MB
% 3.02/0.96  % (508752)Instructions burned: 2 (million)
% 3.02/0.96  % (508752)------------------------------
% 3.02/0.96  % (508752)------------------------------
% 3.02/0.96  % (508753)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2927991286:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.02/0.96  % (508757)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.02/0.96  % (508753)Instruction limit reached! 
% 3.02/0.96  % (508753)------------------------------
% 3.02/0.96  % (508753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.96  % (508753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.02  % (508753)CaDiCaL version: 2.1.3
% 3.02/1.02  % (508753)Termination reason: Instruction limit
% 3.02/1.02  % (508753)Termination phase: Saturation
% 3.02/1.02  % (508753)Time elapsed: 0.019 s
% 3.02/1.02  % (508753)Peak memory usage: 12 MB
% 3.02/1.02  % (508753)Instructions burned: 21 (million)
% 3.02/1.02  % (508757)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3884229647:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.02/1.02  % (508758)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=163543307:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.02/1.02  % (508751)Instruction limit reached! 
% 3.02/1.02  % (508751)------------------------------
% 3.02/1.02  % (508751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/1.02  % (508751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.02  % (508751)CaDiCaL version: 2.1.3
% 3.02/1.02  % (508751)Termination reason: Instruction limit
% 3.02/1.02  % (508751)Termination phase: Saturation
% 3.02/1.02  % (508751)Time elapsed: 0.040 s
% 3.02/1.02  % (508751)Peak memory usage: 12 MB
% 3.02/1.02  % (508751)Instructions burned: 45 (million)
% 3.02/1.02  % (508758)Instruction limit reached! 
% 3.02/1.02  % (508758)------------------------------
% 3.02/1.02  % (508758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/1.02  % (508758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.02  % (508758)CaDiCaL version: 2.1.3
% 3.02/1.02  % (508758)Termination reason: Instruction limit
% 3.02/1.02  % (508758)Termination phase: Saturation
% 3.02/1.02  % (508758)Time elapsed: 0.015 s
% 3.02/1.02  % (508758)Peak memory usage: 12 MB
% 3.02/1.02  % (508758)Instructions burned: 13 (million)
% 3.02/1.02  % (508760)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=3533744132:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.02/1.02  % (508763)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4141554141:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.02/1.02  % (508763)Refutation not found, incomplete strategy
% 3.02/1.02  % (508763)------------------------------
% 3.02/1.02  % (508763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/1.02  % (508763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.02  % (508763)CaDiCaL version: 2.1.3
% 3.02/1.02  % (508763)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.02  % (508763)Time elapsed: 0.003 s
% 3.02/1.02  % (508763)Peak memory usage: 12 MB
% 3.02/1.02  % (508763)Instructions burned: 2 (million)
% 3.02/1.02  % (508763)------------------------------
% 3.02/1.02  % (508763)------------------------------
% 3.02/1.02  % (508764)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2715552911:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.02/1.02  % (508767)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=927377301:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.02/1.02  % (508760)Instruction limit reached! 
% 3.02/1.02  % (508760)------------------------------
% 3.02/1.02  % (508760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/1.02  % (508760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.02  % (508760)CaDiCaL version: 2.1.3
% 3.02/1.02  % (508760)Termination reason: Instruction limit
% 3.02/1.02  % (508760)Termination phase: Saturation
% 3.02/1.02  % (508760)Time elapsed: 0.050 s
% 3.02/1.02  % (508760)Peak memory usage: 12 MB
% 3.02/1.02  % (508760)Instructions burned: 67 (million)
% 3.02/1.02  % (508764)Instruction limit reached! 
% 3.02/1.02  % (508764)------------------------------
% 3.02/1.02  % (508764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/1.02  % (508764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.02  % (508764)CaDiCaL version: 2.1.3
% 3.02/1.02  % (508764)Termination reason: Instruction limit
% 3.02/1.02  % (508764)Termination phase: Saturation
% 3.02/1.02  % (508764)Time elapsed: 0.029 s
% 3.02/1.02  % (508764)Peak memory usage: 12 MB
% 3.02/1.02  % (508764)Instructions burned: 32 (million)
% 3.02/1.02  % (508770)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=3902756901:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.05/1.10  % (508771)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2025350766:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 5.05/1.10  % (508771)Refutation not found, incomplete strategy
% 5.05/1.10  % (508771)------------------------------
% 5.05/1.10  % (508771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.10  % (508771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.10  % (508771)CaDiCaL version: 2.1.3
% 5.05/1.10  % (508771)Termination reason: Refutation not found, incomplete strategy
% 5.05/1.10  % (508771)Time elapsed: 0.003 s
% 5.05/1.10  % (508771)Peak memory usage: 12 MB
% 5.05/1.10  % (508771)Instructions burned: 2 (million)
% 5.05/1.10  % (508771)------------------------------
% 5.05/1.10  % (508771)------------------------------
% 5.05/1.10  % (508757)Instruction limit reached! 
% 5.05/1.10  % (508757)------------------------------
% 5.05/1.10  % (508757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.10  % (508757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.10  % (508757)CaDiCaL version: 2.1.3
% 5.05/1.10  % (508757)Termination reason: Instruction limit
% 5.05/1.10  % (508757)Termination phase: Saturation
% 5.05/1.10  % (508757)Time elapsed: 0.133 s
% 5.05/1.10  % (508757)Peak memory usage: 12 MB
% 5.05/1.10  % (508757)Instructions burned: 200 (million)
% 5.05/1.10  % (508770)Instruction limit reached! 
% 5.05/1.10  % (508770)------------------------------
% 5.05/1.10  % (508770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.10  % (508770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.10  % (508770)CaDiCaL version: 2.1.3
% 5.05/1.10  % (508770)Termination reason: Instruction limit
% 5.05/1.10  % (508770)Termination phase: Saturation
% 5.05/1.10  % (508770)Time elapsed: 0.029 s
% 5.05/1.10  % (508770)Peak memory usage: 12 MB
% 5.05/1.10  % (508770)Instructions burned: 34 (million)
% 5.05/1.10  % (508774)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.05/1.10  % (508774)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2736816529:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 5.05/1.10  % (508775)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2018832051:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 5.05/1.10  % (508775)Refutation not found, incomplete strategy
% 5.05/1.10  % (508775)------------------------------
% 5.05/1.10  % (508775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.10  % (508775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.10  % (508775)CaDiCaL version: 2.1.3
% 5.05/1.10  % (508775)Termination reason: Refutation not found, incomplete strategy
% 5.05/1.10  % (508775)Time elapsed: 0.002 s
% 5.05/1.10  % (508775)Peak memory usage: 11 MB
% 5.05/1.10  % (508775)Instructions burned: 1 (million)
% 5.05/1.10  % (508775)------------------------------
% 5.05/1.10  % (508775)------------------------------
% 5.05/1.10  % (508776)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=216012152:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.05/1.10  % (508745)Instruction limit reached! 
% 5.05/1.10  % (508745)------------------------------
% 5.05/1.10  % (508745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.10  % (508745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.10  % (508745)CaDiCaL version: 2.1.3
% 5.05/1.10  % (508745)Termination reason: Instruction limit
% 5.05/1.10  % (508745)Termination phase: Saturation
% 5.05/1.10  % (508745)Time elapsed: 0.248 s
% 5.05/1.10  % (508745)Peak memory usage: 13 MB
% 5.05/1.10  % (508745)Instructions burned: 316 (million)
% 5.05/1.10  % (508767)Instruction limit reached! 
% 5.05/1.10  % (508767)------------------------------
% 5.05/1.10  % (508767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.10  % (508767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.10  % (508767)CaDiCaL version: 2.1.3
% 5.05/1.10  % (508767)Termination reason: Instruction limit
% 5.05/1.10  % (508767)Termination phase: Saturation
% 5.05/1.10  % (508767)Time elapsed: 0.112 s
% 5.05/1.10  % (508767)Peak memory usage: 13 MB
% 5.05/1.10  % (508767)Instructions burned: 138 (million)
% 5.05/1.18  % (508779)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3080878290:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.05/1.18  % (508779)Refutation not found, incomplete strategy
% 5.05/1.18  % (508779)------------------------------
% 5.05/1.18  % (508779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.18  % (508779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.18  % (508779)CaDiCaL version: 2.1.3
% 5.05/1.18  % (508779)Termination reason: Refutation not found, incomplete strategy
% 5.05/1.18  % (508779)Time elapsed: 0.001 s
% 5.05/1.18  % (508779)Peak memory usage: 11 MB
% 5.05/1.18  % (508779)Instructions burned: 1 (million)
% 5.05/1.18  % (508779)------------------------------
% 5.05/1.18  % (508779)------------------------------
% 5.05/1.18  % (508781)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=438739222:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 5.05/1.18  % (508781)Refutation not found, incomplete strategy
% 5.05/1.18  % (508781)------------------------------
% 5.05/1.18  % (508781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.18  % (508781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.18  % (508781)CaDiCaL version: 2.1.3
% 5.05/1.18  % (508781)Termination reason: Refutation not found, incomplete strategy
% 5.05/1.18  % (508781)Time elapsed: 0.001 s
% 5.05/1.18  % (508781)Peak memory usage: 11 MB
% 5.05/1.18  % (508781)Instructions burned: 1 (million)
% 5.05/1.18  % (508781)------------------------------
% 5.05/1.18  % (508781)------------------------------
% 5.05/1.18  % (508782)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3025630681:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 5.05/1.18  % (508782)Refutation not found, incomplete strategy
% 5.05/1.18  % (508782)------------------------------
% 5.05/1.18  % (508782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.18  % (508782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.18  % (508782)CaDiCaL version: 2.1.3
% 5.05/1.18  % (508782)Termination reason: Refutation not found, incomplete strategy
% 5.05/1.18  % (508782)Time elapsed: 0.002 s
% 5.05/1.18  % (508782)Peak memory usage: 12 MB
% 5.05/1.18  % (508782)Instructions burned: 1 (million)
% 5.05/1.18  % (508782)------------------------------
% 5.05/1.18  % (508782)------------------------------
% 5.05/1.18  % (508726)Instruction limit reached! 
% 5.05/1.18  % (508726)------------------------------
% 5.05/1.18  % (508726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.18  % (508726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.18  % (508726)CaDiCaL version: 2.1.3
% 5.05/1.18  % (508726)Termination reason: Instruction limit
% 5.05/1.18  % (508726)Termination phase: Saturation
% 5.05/1.18  % (508726)Time elapsed: 0.409 s
% 5.05/1.18  % (508726)Peak memory usage: 13 MB
% 5.05/1.18  % (508726)Instructions burned: 1243 (million)
% 5.05/1.18  % (508784)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1926845795:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 5.05/1.18  % (508784)Refutation not found, incomplete strategy
% 5.05/1.18  % (508784)------------------------------
% 5.05/1.18  % (508784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.18  % (508784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.18  % (508784)CaDiCaL version: 2.1.3
% 5.05/1.18  % (508784)Termination reason: Refutation not found, incomplete strategy
% 5.05/1.18  % (508784)Time elapsed: 0.002 s
% 5.05/1.18  % (508784)Peak memory usage: 11 MB
% 5.05/1.18  % (508784)Instructions burned: 1 (million)
% 5.05/1.18  % (508784)------------------------------
% 5.05/1.18  % (508784)------------------------------
% 5.05/1.18  % (508786)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1618575552:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 5.05/1.18  % (508776)Instruction limit reached! 
% 5.05/1.18  % (508776)------------------------------
% 5.05/1.18  % (508776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.05/1.18  % (508776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.05/1.18  % (508776)CaDiCaL version: 2.1.3
% 5.05/1.18  % (508776)Termination reason: Instruction limit
% 5.05/1.18  % (508776)Termination phase: Saturation
% 5.05/1.18  % (508776)Time elapsed: 0.075 s
% 5.05/1.18  % (508776)Peak memory usage: 12 MB
% 5.65/1.28  % (508776)Instructions burned: 97 (million)
% 5.65/1.28  % (508788)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2235310750:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 5.65/1.28  % (508788)Refutation not found, incomplete strategy
% 5.65/1.28  % (508788)------------------------------
% 5.65/1.28  % (508788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.28  % (508788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.28  % (508788)CaDiCaL version: 2.1.3
% 5.65/1.28  % (508788)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.28  % (508788)Time elapsed: 0.002 s
% 5.65/1.28  % (508788)Peak memory usage: 12 MB
% 5.65/1.28  % (508788)Instructions burned: 2 (million)
% 5.65/1.28  % (508788)------------------------------
% 5.65/1.28  % (508788)------------------------------
% 5.65/1.28  % (508791)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2959906320:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.65/1.28  % (508793)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=823870962:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.65/1.28  % (508786)Instruction limit reached! 
% 5.65/1.28  % (508786)------------------------------
% 5.65/1.28  % (508786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.28  % (508786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.28  % (508786)CaDiCaL version: 2.1.3
% 5.65/1.28  % (508786)Termination reason: Instruction limit
% 5.65/1.28  % (508786)Termination phase: Saturation
% 5.65/1.28  % (508786)Time elapsed: 0.037 s
% 5.65/1.28  % (508786)Peak memory usage: 12 MB
% 5.65/1.28  % (508786)Instructions burned: 45 (million)
% 5.65/1.28  % (508795)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=3321257201: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_2993 on theBenchmark for (2993ds/105Mi)
% 5.65/1.28  % (508774)Instruction limit reached! 
% 5.65/1.28  % (508774)------------------------------
% 5.65/1.28  % (508774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.28  % (508774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.28  % (508774)CaDiCaL version: 2.1.3
% 5.65/1.28  % (508774)Termination reason: Instruction limit
% 5.65/1.28  % (508774)Termination phase: Saturation
% 5.65/1.28  % (508774)Time elapsed: 0.144 s
% 5.65/1.28  % (508774)Peak memory usage: 12 MB
% 5.65/1.28  % (508774)Instructions burned: 180 (million)
% 5.65/1.28  % (508789)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2353093308:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.65/1.28  % (508798)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=2993088391:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2992 on theBenchmark for (2992ds/5755Mi)
% 5.65/1.28  % (508798)Refutation not found, incomplete strategy
% 5.65/1.28  % (508798)------------------------------
% 5.65/1.28  % (508798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.28  % (508798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.28  % (508798)CaDiCaL version: 2.1.3
% 5.65/1.28  % (508798)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.28  % (508798)Time elapsed: 0.002 s
% 5.65/1.28  % (508798)Peak memory usage: 12 MB
% 5.65/1.28  % (508798)Instructions burned: 1 (million)
% 5.65/1.28  % (508798)------------------------------
% 5.65/1.28  % (508798)------------------------------
% 5.65/1.28  % (508800)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=4166885606:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/375Mi)
% 5.65/1.28  % (508800)Refutation not found, incomplete strategy
% 5.65/1.28  % (508800)------------------------------
% 5.65/1.28  % (508800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.28  % (508800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.40  % (508800)CaDiCaL version: 2.1.3
% 6.10/1.40  % (508800)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.40  % (508800)Time elapsed: 0.001 s
% 6.10/1.40  % (508800)Peak memory usage: 11 MB
% 6.10/1.40  % (508800)Instructions burned: 1 (million)
% 6.10/1.40  % (508800)------------------------------
% 6.10/1.40  % (508800)------------------------------
% 6.10/1.40  % (508793)Instruction limit reached! 
% 6.10/1.40  % (508793)------------------------------
% 6.10/1.40  % (508793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.40  % (508793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.40  % (508793)CaDiCaL version: 2.1.3
% 6.10/1.40  % (508793)Termination reason: Instruction limit
% 6.10/1.40  % (508793)Termination phase: Saturation
% 6.10/1.40  % (508793)Time elapsed: 0.054 s
% 6.10/1.40  % (508793)Peak memory usage: 12 MB
% 6.10/1.40  % (508793)Instructions burned: 66 (million)
% 6.10/1.40  % (508791)Instruction limit reached! 
% 6.10/1.40  % (508791)------------------------------
% 6.10/1.40  % (508791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.40  % (508791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.40  % (508791)CaDiCaL version: 2.1.3
% 6.10/1.40  % (508791)Termination reason: Instruction limit
% 6.10/1.40  % (508791)Termination phase: Saturation
% 6.10/1.40  % (508791)Time elapsed: 0.069 s
% 6.10/1.40  % (508791)Peak memory usage: 12 MB
% 6.10/1.40  % (508791)Instructions burned: 95 (million)
% 6.10/1.40  % (508803)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2605552456:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 6.10/1.40  % (508805)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=3949328059:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.10/1.40  % (508806)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3709234263:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.10/1.40  % (508807)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2682970231:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.10/1.40  % (508807)Refutation not found, incomplete strategy
% 6.10/1.40  % (508807)------------------------------
% 6.10/1.40  % (508807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.40  % (508807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.40  % (508807)CaDiCaL version: 2.1.3
% 6.10/1.40  % (508807)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.40  % (508807)Time elapsed: 0.001 s
% 6.10/1.40  % (508807)Peak memory usage: 11 MB
% 6.10/1.40  % (508807)Instructions burned: 1 (million)
% 6.10/1.40  % (508807)------------------------------
% 6.10/1.40  % (508807)------------------------------
% 6.10/1.40  % (508795)Instruction limit reached! 
% 6.10/1.40  % (508795)------------------------------
% 6.10/1.40  % (508795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.40  % (508795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.40  % (508795)CaDiCaL version: 2.1.3
% 6.10/1.40  % (508795)Termination reason: Instruction limit
% 6.10/1.40  % (508795)Termination phase: Saturation
% 6.10/1.40  % (508795)Time elapsed: 0.091 s
% 6.10/1.40  % (508795)Peak memory usage: 12 MB
% 6.10/1.40  % (508795)Instructions burned: 105 (million)
% 6.10/1.40  % (508805)Instruction limit reached! 
% 6.10/1.40  % (508805)------------------------------
% 6.10/1.40  % (508805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.40  % (508805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.40  % (508805)CaDiCaL version: 2.1.3
% 6.10/1.40  % (508805)Termination reason: Instruction limit
% 6.10/1.40  % (508805)Termination phase: Saturation
% 6.10/1.40  % (508805)Time elapsed: 0.031 s
% 6.10/1.40  % (508805)Peak memory usage: 12 MB
% 6.10/1.40  % (508805)Instructions burned: 35 (million)
% 6.10/1.40  % (508812)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=993210930:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2991 on theBenchmark for (2991ds/22Mi)
% 6.10/1.40  % (508747)Instruction limit reached! 
% 6.10/1.40  % (508747)------------------------------
% 6.10/1.40  % (508747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.10/1.40  % (508747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.55  % (508747)CaDiCaL version: 2.1.3
% 7.04/1.55  % (508747)Termination reason: Instruction limit
% 7.04/1.55  % (508747)Termination phase: Saturation
% 7.04/1.55  % (508747)Time elapsed: 0.457 s
% 7.04/1.55  % (508747)Peak memory usage: 13 MB
% 7.04/1.55  % (508747)Instructions burned: 853 (million)
% 7.04/1.55  % (508813)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=292606257:i=338:bd=all:ins=4:rtra=on_2991 on theBenchmark for (2991ds/338Mi)
% 7.04/1.55  % (508814)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1317825842:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/28Mi)
% 7.04/1.55  % (508814)Refutation not found, incomplete strategy
% 7.04/1.55  % (508814)------------------------------
% 7.04/1.55  % (508814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.04/1.55  % (508814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.55  % (508814)CaDiCaL version: 2.1.3
% 7.04/1.55  % (508814)Termination reason: Refutation not found, incomplete strategy
% 7.04/1.55  % (508814)Time elapsed: 0.001 s
% 7.04/1.55  % (508814)Peak memory usage: 11 MB
% 7.04/1.55  % (508814)Instructions burned: 1 (million)
% 7.04/1.55  % (508812)Instruction limit reached! 
% 7.04/1.55  % (508812)------------------------------
% 7.04/1.55  % (508812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.04/1.55  % (508812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.55  % (508812)CaDiCaL version: 2.1.3
% 7.04/1.55  % (508812)Termination reason: Instruction limit
% 7.04/1.55  % (508812)Termination phase: Saturation
% 7.04/1.55  % (508812)Time elapsed: 0.019 s
% 7.04/1.55  % (508812)Peak memory usage: 12 MB
% 7.04/1.55  % (508812)Instructions burned: 22 (million)
% 7.04/1.55  % (508814)------------------------------
% 7.04/1.55  % (508814)------------------------------
% 7.04/1.55  % (508806)Instruction limit reached! 
% 7.04/1.55  % (508806)------------------------------
% 7.04/1.55  % (508806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.04/1.55  % (508806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.55  % (508806)CaDiCaL version: 2.1.3
% 7.04/1.55  % (508806)Termination reason: Instruction limit
% 7.04/1.55  % (508806)Termination phase: Saturation
% 7.04/1.55  % (508806)Time elapsed: 0.062 s
% 7.04/1.55  % (508806)Peak memory usage: 12 MB
% 7.04/1.55  % (508806)Instructions burned: 93 (million)
% 7.04/1.55  % (508816)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.04/1.55  % (508816)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3871973796:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 7.04/1.55  % (508821)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.04/1.55  % (508820)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=50681852:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 7.04/1.55  % (508819)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=2205916403:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 7.04/1.55  % (508821)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4071893165:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 7.04/1.55  % (508820)Refutation not found, incomplete strategy
% 7.04/1.55  % (508820)------------------------------
% 7.04/1.55  % (508820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.04/1.55  % (508820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.55  % (508820)CaDiCaL version: 2.1.3
% 7.04/1.55  % (508820)Termination reason: Refutation not found, incomplete strategy
% 7.04/1.55  % (508820)Time elapsed: 0.017 s
% 7.04/1.55  % (508820)Peak memory usage: 11 MB
% 7.04/1.55  % (508820)Instructions burned: 1 (million)
% 7.04/1.55  % (508820)------------------------------
% 7.04/1.55  % (508820)------------------------------
% 7.04/1.55  % (508789)Instruction limit reached! 
% 7.04/1.55  % (508789)------------------------------
% 7.04/1.55  % (508789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.60  % (508789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.60  % (508789)CaDiCaL version: 2.1.3
% 8.27/1.60  % (508789)Termination reason: Instruction limit
% 8.27/1.60  % (508789)Termination phase: Saturation
% 8.27/1.60  % (508789)Time elapsed: 0.205 s
% 8.27/1.60  % (508789)Peak memory usage: 12 MB
% 8.27/1.60  % (508789)Instructions burned: 451 (million)
% 8.27/1.60  % (508826)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2006949892:i=116:ep=RSTC:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/116Mi)
% 8.27/1.60  % (508827)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1553967646:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 8.27/1.60  % (508827)Refutation not found, incomplete strategy
% 8.27/1.60  % (508827)------------------------------
% 8.27/1.60  % (508827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.60  % (508827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.60  % (508827)CaDiCaL version: 2.1.3
% 8.27/1.60  % (508827)Termination reason: Refutation not found, incomplete strategy
% 8.27/1.60  % (508827)Time elapsed: 0.003 s
% 8.27/1.60  % (508827)Peak memory usage: 12 MB
% 8.27/1.60  % (508827)Instructions burned: 2 (million)
% 8.27/1.60  % (508816)Instruction limit reached! 
% 8.27/1.60  % (508816)------------------------------
% 8.27/1.60  % (508816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.60  % (508816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.60  % (508816)CaDiCaL version: 2.1.3
% 8.27/1.60  % (508816)Termination reason: Instruction limit
% 8.27/1.60  % (508816)Termination phase: Saturation
% 8.27/1.60  % (508816)Time elapsed: 0.098 s
% 8.27/1.60  % (508816)Peak memory usage: 12 MB
% 8.27/1.60  % (508816)Instructions burned: 137 (million)
% 8.27/1.60  % (508827)------------------------------
% 8.27/1.60  % (508827)------------------------------
% 8.27/1.60  % (508831)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=753452508: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_2990 on theBenchmark for (2990ds/9840Mi)
% 8.27/1.60  % (508830)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1780108442:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 8.27/1.60  % (508803)Instruction limit reached! 
% 8.27/1.60  % (508803)------------------------------
% 8.27/1.60  % (508803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.60  % (508803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.60  % (508803)CaDiCaL version: 2.1.3
% 8.27/1.60  % (508803)Termination reason: Instruction limit
% 8.27/1.60  % (508803)Termination phase: Saturation
% 8.27/1.60  % (508803)Time elapsed: 0.237 s
% 8.27/1.60  % (508803)Peak memory usage: 12 MB
% 8.27/1.60  % (508803)Instructions burned: 497 (million)
% 8.27/1.60  % (508826)Instruction limit reached! 
% 8.27/1.60  % (508826)------------------------------
% 8.27/1.60  % (508826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.60  % (508826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.60  % (508826)CaDiCaL version: 2.1.3
% 8.27/1.60  % (508826)Termination reason: Instruction limit
% 8.27/1.60  % (508826)Termination phase: Saturation
% 8.27/1.60  % (508826)Time elapsed: 0.078 s
% 8.27/1.60  % (508826)Peak memory usage: 12 MB
% 8.27/1.60  % (508826)Instructions burned: 116 (million)
% 8.27/1.60  % (508835)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
% 8.27/1.60  % (508834)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1127154995:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 8.27/1.60  % (508834)Refutation not found, incomplete strategy
% 8.27/1.60  % (508834)------------------------------
% 8.27/1.60  % (508834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.60  % (508834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.60  % (508834)CaDiCaL version: 2.1.3
% 8.27/1.67  % (508834)Termination reason: Refutation not found, incomplete strategy
% 8.27/1.67  % (508834)Time elapsed: 0.002 s
% 8.27/1.67  % (508834)Peak memory usage: 11 MB
% 8.27/1.67  % (508834)Instructions burned: 1 (million)
% 8.27/1.67  % (508835)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=3251958368:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 8.27/1.67  % (508834)------------------------------
% 8.27/1.67  % (508834)------------------------------
% 8.27/1.67  % (508838)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2629568624:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 8.27/1.67  % (508838)Instruction limit reached! 
% 8.27/1.67  % (508838)------------------------------
% 8.27/1.67  % (508838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.67  % (508838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.67  % (508838)CaDiCaL version: 2.1.3
% 8.27/1.67  % (508838)Termination reason: Instruction limit
% 8.27/1.67  % (508838)Termination phase: Saturation
% 8.27/1.67  % (508838)Time elapsed: 0.016 s
% 8.27/1.67  % (508838)Peak memory usage: 12 MB
% 8.27/1.67  % (508838)Instructions burned: 33 (million)
% 8.27/1.67  % (508813)Instruction limit reached! 
% 8.27/1.67  % (508813)------------------------------
% 8.27/1.67  % (508813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.67  % (508813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.67  % (508813)CaDiCaL version: 2.1.3
% 8.27/1.67  % (508813)Termination reason: Instruction limit
% 8.27/1.67  % (508813)Termination phase: Saturation
% 8.27/1.67  % (508813)Time elapsed: 0.260 s
% 8.27/1.67  % (508813)Peak memory usage: 14 MB
% 8.27/1.67  % (508813)Instructions burned: 339 (million)
% 8.27/1.67  % (508840)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 8.27/1.67  % (508840)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
% 8.27/1.67  % (508840)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=3554797516:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 8.27/1.67  % (508841)dis+10_2_sil=128000:si=on:random_seed=894162207:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 8.27/1.67  % (508841)Refutation not found, incomplete strategy
% 8.27/1.67  % (508841)------------------------------
% 8.27/1.67  % (508841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.67  % (508841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.67  % (508841)CaDiCaL version: 2.1.3
% 8.27/1.67  % (508841)Termination reason: Refutation not found, incomplete strategy
% 8.27/1.67  % (508841)Time elapsed: 0.001 s
% 8.27/1.67  % (508841)Peak memory usage: 11 MB
% 8.27/1.67  % (508841)Instructions burned: 1 (million)
% 8.27/1.67  % (508841)------------------------------
% 8.27/1.67  % (508841)------------------------------
% 8.27/1.67  % (508819)Instruction limit reached! 
% 8.27/1.67  % (508819)------------------------------
% 8.27/1.67  % (508819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.27/1.67  % (508819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/1.67  % (508819)CaDiCaL version: 2.1.3
% 8.27/1.67  % (508819)Termination reason: Instruction limit
% 8.27/1.67  % (508819)Termination phase: Saturation
% 8.27/1.67  % (508819)Time elapsed: 0.284 s
% 8.27/1.67  % (508819)Peak memory usage: 13 MB
% 8.27/1.67  % (508819)Instructions burned: 341 (million)
% 8.27/1.67  % (508844)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3924005789:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.27/1.67  % (508846)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=3803014703:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 8.27/1.67  % (508846)Refutation not found, incomplete strategy
% 8.27/1.67  % (508846)------------------------------
% 8.27/1.67  % (508846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.86  % (508846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.86  % (508846)CaDiCaL version: 2.1.3
% 8.87/1.86  % (508846)Termination reason: Refutation not found, incomplete strategy
% 8.87/1.86  % (508846)Time elapsed: 0.002 s
% 8.87/1.86  % (508846)Peak memory usage: 11 MB
% 8.87/1.86  % (508846)Instructions burned: 1 (million)
% 8.87/1.86  % (508846)------------------------------
% 8.87/1.86  % (508846)------------------------------
% 8.87/1.86  % (508821)Instruction limit reached! 
% 8.87/1.86  % (508821)------------------------------
% 8.87/1.86  % (508821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.86  % (508821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.86  % (508821)CaDiCaL version: 2.1.3
% 8.87/1.86  % (508821)Termination reason: Instruction limit
% 8.87/1.86  % (508821)Termination phase: Saturation
% 8.87/1.86  % (508821)Time elapsed: 0.325 s
% 8.87/1.86  % (508821)Peak memory usage: 12 MB
% 8.87/1.86  % (508821)Instructions burned: 373 (million)
% 8.87/1.86  % (508830)Instruction limit reached! 
% 8.87/1.86  % (508830)------------------------------
% 8.87/1.86  % (508830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.86  % (508830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.86  % (508830)CaDiCaL version: 2.1.3
% 8.87/1.86  % (508830)Termination reason: Instruction limit
% 8.87/1.86  % (508830)Termination phase: Saturation
% 8.87/1.86  % (508830)Time elapsed: 0.221 s
% 8.87/1.86  % (508830)Peak memory usage: 12 MB
% 8.87/1.86  % (508830)Instructions burned: 270 (million)
% 8.87/1.86  % (508835)Instruction limit reached! 
% 8.87/1.86  % (508835)------------------------------
% 8.87/1.86  % (508835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.86  % (508835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.86  % (508835)CaDiCaL version: 2.1.3
% 8.87/1.86  % (508835)Termination reason: Instruction limit
% 8.87/1.86  % (508835)Termination phase: Saturation
% 8.87/1.86  % (508835)Time elapsed: 0.180 s
% 8.87/1.86  % (508835)Peak memory usage: 12 MB
% 8.87/1.86  % (508835)Instructions burned: 271 (million)
% 8.87/1.86  % (508848)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=2613181731:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/136Mi)
% 8.87/1.86  % (508849)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=185754921:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/232Mi)
% 8.87/1.86  % (508848)Refutation not found, incomplete strategy
% 8.87/1.86  % (508848)------------------------------
% 8.87/1.86  % (508848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.86  % (508848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.86  % (508848)CaDiCaL version: 2.1.3
% 8.87/1.86  % (508848)Termination reason: Refutation not found, incomplete strategy
% 8.87/1.86  % (508848)Time elapsed: 0.003 s
% 8.87/1.86  % (508848)Peak memory usage: 12 MB
% 8.87/1.86  % (508848)Instructions burned: 2 (million)
% 8.87/1.86  % (508849)Refutation not found, incomplete strategy
% 8.87/1.86  % (508849)------------------------------
% 8.87/1.86  % (508849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.86  % (508849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.86  % (508849)CaDiCaL version: 2.1.3
% 8.87/1.86  % (508849)Termination reason: Refutation not found, incomplete strategy
% 8.87/1.86  % (508849)Time elapsed: 0.001 s
% 8.87/1.86  % (508849)Peak memory usage: 11 MB
% 8.87/1.86  % (508849)Instructions burned: 1 (million)
% 8.87/1.86  % (508848)------------------------------
% 8.87/1.86  % (508848)------------------------------
% 8.87/1.86  % (508849)------------------------------
% 8.87/1.86  % (508849)------------------------------
% 8.87/1.86  % (508850)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=65249044:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/1254Mi)
% 8.87/1.86  % (508850)Refutation not found, incomplete strategy
% 8.87/1.86  % (508850)------------------------------
% 8.87/1.86  % (508850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.86  % (508850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.86  % (508850)CaDiCaL version: 2.1.3
% 9.51/1.97  % (508850)Termination reason: Refutation not found, incomplete strategy
% 9.51/1.97  % (508850)Time elapsed: 0.004 s
% 9.51/1.97  % (508850)Peak memory usage: 11 MB
% 9.51/1.97  % (508850)Instructions burned: 3 (million)
% 9.51/1.97  % (508851)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.51/1.97  % (508850)------------------------------
% 9.51/1.97  % (508850)------------------------------
% 9.51/1.97  % (508844)Instruction limit reached! 
% 9.51/1.97  % (508844)------------------------------
% 9.51/1.97  % (508844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.97  % (508844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.97  % (508844)CaDiCaL version: 2.1.3
% 9.51/1.97  % (508844)Termination reason: Instruction limit
% 9.51/1.97  % (508844)Termination phase: Saturation
% 9.51/1.97  % (508844)Time elapsed: 0.090 s
% 9.51/1.97  % (508844)Peak memory usage: 12 MB
% 9.51/1.97  % (508844)Instructions burned: 112 (million)
% 9.51/1.97  % (508851)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=1939581532:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2987 on theBenchmark for (2987ds/281Mi)
% 9.51/1.97  % (508855)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=2214530194:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/865Mi)
% 9.51/1.97  % (508854)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2933702589:i=619:add=on:rtra=on_2987 on theBenchmark for (2987ds/619Mi)
% 9.51/1.97  % (508854)Refutation not found, incomplete strategy
% 9.51/1.97  % (508854)------------------------------
% 9.51/1.97  % (508854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.97  % (508854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.97  % (508854)CaDiCaL version: 2.1.3
% 9.51/1.97  % (508854)Termination reason: Refutation not found, incomplete strategy
% 9.51/1.97  % (508854)Time elapsed: 0.004 s
% 9.51/1.97  % (508854)Peak memory usage: 12 MB
% 9.51/1.97  % (508854)Instructions burned: 3 (million)
% 9.51/1.97  % (508854)------------------------------
% 9.51/1.97  % (508854)------------------------------
% 9.51/1.97  % (508857)lrs+10_1_sil=128000:si=on:urr=on:random_seed=11579802:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/212Mi)
% 9.51/1.97  % (508857)Refutation not found, incomplete strategy
% 9.51/1.97  % (508857)------------------------------
% 9.51/1.97  % (508857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.97  % (508857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.97  % (508857)CaDiCaL version: 2.1.3
% 9.51/1.97  % (508857)Termination reason: Refutation not found, incomplete strategy
% 9.51/1.97  % (508857)Time elapsed: 0.001 s
% 9.51/1.97  % (508857)Peak memory usage: 11 MB
% 9.51/1.97  % (508857)Instructions burned: 1 (million)
% 9.51/1.97  % (508857)------------------------------
% 9.51/1.97  % (508857)------------------------------
% 9.51/1.97  % (508859)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3582081915:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.51/1.97  % (508859)Refutation not found, incomplete strategy
% 9.51/1.97  % (508859)------------------------------
% 9.51/1.97  % (508859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.97  % (508859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.97  % (508859)CaDiCaL version: 2.1.3
% 9.51/1.97  % (508859)Termination reason: Refutation not found, incomplete strategy
% 9.51/1.97  % (508859)Time elapsed: 0.001 s
% 9.51/1.97  % (508859)Peak memory usage: 11 MB
% 9.51/1.97  % (508859)Instructions burned: 1 (million)
% 9.51/1.97  % (508859)------------------------------
% 9.51/1.97  % (508859)------------------------------
% 9.51/1.97  % (508862)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1750072198:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 9.51/1.97  % (508862)Refutation not found, incomplete strategy
% 9.51/1.97  % (508862)------------------------------
% 9.51/1.97  % (508862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.97  % (508862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.25  % (508862)CaDiCaL version: 2.1.3
% 12.78/2.25  % (508862)Termination reason: Refutation not found, incomplete strategy
% 12.78/2.25  % (508862)Time elapsed: 0.002 s
% 12.78/2.25  % (508862)Peak memory usage: 11 MB
% 12.78/2.25  % (508862)Instructions burned: 1 (million)
% 12.78/2.25  % (508862)------------------------------
% 12.78/2.25  % (508862)------------------------------
% 12.78/2.25  % (508864)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1925233525:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 12.78/2.25  % (508866)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=159790186:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 12.78/2.25  % (508869)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1522367937:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/387Mi)
% 12.78/2.25  % (508869)Refutation not found, incomplete strategy
% 12.78/2.25  % (508869)------------------------------
% 12.78/2.25  % (508869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.25  % (508869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.25  % (508869)CaDiCaL version: 2.1.3
% 12.78/2.25  % (508869)Termination reason: Refutation not found, incomplete strategy
% 12.78/2.25  % (508869)Time elapsed: 0.002 s
% 12.78/2.25  % (508869)Peak memory usage: 11 MB
% 12.78/2.25  % (508869)Instructions burned: 1 (million)
% 12.78/2.25  % (508869)------------------------------
% 12.78/2.25  % (508869)------------------------------
% 12.78/2.25  % (508866)Instruction limit reached! 
% 12.78/2.25  % (508866)------------------------------
% 12.78/2.25  % (508866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.25  % (508866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.25  % (508866)CaDiCaL version: 2.1.3
% 12.78/2.25  % (508866)Termination reason: Instruction limit
% 12.78/2.25  % (508866)Termination phase: Saturation
% 12.78/2.25  % (508866)Time elapsed: 0.059 s
% 12.78/2.25  % (508866)Peak memory usage: 12 MB
% 12.78/2.25  % (508866)Instructions burned: 75 (million)
% 12.78/2.25  % (508872)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=1468631819:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2986 on theBenchmark for (2986ds/148Mi)
% 12.78/2.25  % (508873)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1763850139:i=161:piset=and:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/161Mi)
% 12.78/2.25  % (508864)Instruction limit reached! 
% 12.78/2.25  % (508864)------------------------------
% 12.78/2.25  % (508864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.25  % (508864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.25  % (508864)CaDiCaL version: 2.1.3
% 12.78/2.25  % (508864)Termination reason: Instruction limit
% 12.78/2.25  % (508864)Termination phase: Saturation
% 12.78/2.25  % (508864)Time elapsed: 0.124 s
% 12.78/2.25  % (508864)Peak memory usage: 12 MB
% 12.78/2.25  % (508864)Instructions burned: 153 (million)
% 12.78/2.25  % (508876)lrs+10_1_sil=128000:si=on:random_seed=89336754:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/888Mi)
% 12.78/2.25  % (508876)Refutation not found, incomplete strategy
% 12.78/2.25  % (508876)------------------------------
% 12.78/2.25  % (508876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.25  % (508876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.25  % (508876)CaDiCaL version: 2.1.3
% 12.78/2.25  % (508876)Termination reason: Refutation not found, incomplete strategy
% 12.78/2.25  % (508876)Time elapsed: 0.002 s
% 12.78/2.25  % (508876)Peak memory usage: 11 MB
% 12.78/2.25  % (508876)Instructions burned: 1 (million)
% 12.78/2.25  % (508876)------------------------------
% 12.78/2.25  % (508876)------------------------------
% 12.78/2.25  % (508851)Instruction limit reached! 
% 12.78/2.25  % (508851)------------------------------
% 12.78/2.25  % (508851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.25  % (508851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.25  % (508851)CaDiCaL version: 2.1.3
% 12.78/2.25  % (508851)Termination reason: Instruction limit
% 12.78/2.25  % (508851)Termination phase: Saturation
% 12.78/2.25  % (508851)Time elapsed: 0.240 s
% 12.78/2.25  % (508851)Peak memory usage: 13 MB
% 12.78/2.25  % (508851)Instructions burned: 282 (million)
% 12.78/2.25  % (508878)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=1823776232:i=136:add=on:ins=4:rtra=on:sup=off_2985 on theBenchmark for (2985ds/136Mi)
% 13.83/2.44  % (508872)Instruction limit reached! 
% 13.83/2.44  % (508872)------------------------------
% 13.83/2.44  % (508872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.44  % (508872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.44  % (508872)CaDiCaL version: 2.1.3
% 13.83/2.44  % (508872)Termination reason: Instruction limit
% 13.83/2.44  % (508872)Termination phase: Saturation
% 13.83/2.44  % (508872)Time elapsed: 0.121 s
% 13.83/2.44  % (508872)Peak memory usage: 13 MB
% 13.83/2.44  % (508872)Instructions burned: 149 (million)
% 13.83/2.44  % (508878)Refutation not found, incomplete strategy
% 13.83/2.44  % (508878)------------------------------
% 13.83/2.44  % (508878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.44  % (508878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.44  % (508878)CaDiCaL version: 2.1.3
% 13.83/2.44  % (508878)Termination reason: Refutation not found, incomplete strategy
% 13.83/2.44  % (508878)Time elapsed: 0.004 s
% 13.83/2.44  % (508878)Peak memory usage: 12 MB
% 13.83/2.44  % (508878)Instructions burned: 3 (million)
% 13.83/2.44  % (508878)------------------------------
% 13.83/2.44  % (508878)------------------------------
% 13.83/2.44  % (508873)Instruction limit reached! 
% 13.83/2.44  % (508873)------------------------------
% 13.83/2.44  % (508873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.44  % (508873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.44  % (508873)CaDiCaL version: 2.1.3
% 13.83/2.44  % (508873)Termination reason: Instruction limit
% 13.83/2.44  % (508873)Termination phase: Saturation
% 13.83/2.44  % (508873)Time elapsed: 0.102 s
% 13.83/2.44  % (508873)Peak memory usage: 12 MB
% 13.83/2.44  % (508873)Instructions burned: 162 (million)
% 13.83/2.44  % (508879)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=3935404804:i=88:s2at=3:nm=2:rtra=on:rawr=on_2984 on theBenchmark for (2984ds/88Mi)
% 13.83/2.44  % (508881)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2148359404:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2984 on theBenchmark for (2984ds/93Mi)
% 13.83/2.44  % (508882)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=527693759:i=2186:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/2186Mi)
% 13.83/2.44  % (508883)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2552887407:s2a=on:i=240:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/240Mi)
% 13.83/2.44  % (508840)Instruction limit reached! 
% 13.83/2.44  % (508840)------------------------------
% 13.83/2.44  % (508840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.44  % (508840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.44  % (508840)CaDiCaL version: 2.1.3
% 13.83/2.44  % (508840)Termination reason: Instruction limit
% 13.83/2.44  % (508840)Termination phase: Saturation
% 13.83/2.44  % (508840)Time elapsed: 0.456 s
% 13.83/2.44  % (508840)Peak memory usage: 13 MB
% 13.83/2.44  % (508840)Instructions burned: 1441 (million)
% 13.83/2.44  % (508888)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2677517487:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/805Mi)
% 13.83/2.44  % (508879)Instruction limit reached! 
% 13.83/2.44  % (508879)------------------------------
% 13.83/2.44  % (508879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.44  % (508879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.44  % (508879)CaDiCaL version: 2.1.3
% 13.83/2.44  % (508879)Termination reason: Instruction limit
% 13.83/2.44  % (508879)Termination phase: Saturation
% 13.83/2.44  % (508879)Time elapsed: 0.065 s
% 13.83/2.44  % (508879)Peak memory usage: 13 MB
% 13.83/2.44  % (508879)Instructions burned: 88 (million)
% 13.83/2.44  % (508881)Instruction limit reached! 
% 13.83/2.44  % (508881)------------------------------
% 13.83/2.44  % (508881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.44  % (508881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.44  % (508881)CaDiCaL version: 2.1.3
% 14.96/2.66  % (508881)Termination reason: Instruction limit
% 14.96/2.66  % (508881)Termination phase: Saturation
% 14.96/2.66  % (508881)Time elapsed: 0.076 s
% 14.96/2.66  % (508881)Peak memory usage: 12 MB
% 14.96/2.66  % (508881)Instructions burned: 94 (million)
% 14.96/2.66  % (508890)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 14.96/2.66  % (508890)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=2880595423:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2983 on theBenchmark for (2983ds/391Mi)
% 14.96/2.66  % (508890)Refutation not found, incomplete strategy
% 14.96/2.66  % (508890)------------------------------
% 14.96/2.66  % (508890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.96/2.66  % (508890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/2.66  % (508890)CaDiCaL version: 2.1.3
% 14.96/2.66  % (508890)Termination reason: Refutation not found, incomplete strategy
% 14.96/2.66  % (508890)Time elapsed: 0.002 s
% 14.96/2.66  % (508890)Peak memory usage: 11 MB
% 14.96/2.66  % (508890)Instructions burned: 2 (million)
% 14.96/2.66  % (508890)------------------------------
% 14.96/2.66  % (508890)------------------------------
% 14.96/2.66  % (508891)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=757311143:i=355:av=off:fsr=off:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/355Mi)
% 14.96/2.66  % (508893)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=66383020:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/314Mi)
% 14.96/2.66  % (508893)Refutation not found, incomplete strategy
% 14.96/2.66  % (508893)------------------------------
% 14.96/2.66  % (508893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.96/2.66  % (508893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/2.66  % (508893)CaDiCaL version: 2.1.3
% 14.96/2.66  % (508893)Termination reason: Refutation not found, incomplete strategy
% 14.96/2.66  % (508893)Time elapsed: 0.001 s
% 14.96/2.66  % (508893)Peak memory usage: 11 MB
% 14.96/2.66  % (508893)Instructions burned: 1 (million)
% 14.96/2.66  % (508893)------------------------------
% 14.96/2.66  % (508893)------------------------------
% 14.96/2.66  % (508896)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=207359608:s2a=on:i=251:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/251Mi)
% 14.96/2.66  % (508883)Instruction limit reached! 
% 14.96/2.66  % (508883)------------------------------
% 14.96/2.66  % (508883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.96/2.66  % (508883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/2.66  % (508883)CaDiCaL version: 2.1.3
% 14.96/2.66  % (508883)Termination reason: Instruction limit
% 14.96/2.66  % (508883)Termination phase: Saturation
% 14.96/2.66  % (508883)Time elapsed: 0.161 s
% 14.96/2.66  % (508883)Peak memory usage: 13 MB
% 14.96/2.66  % (508883)Instructions burned: 241 (million)
% 14.96/2.66  % (508898)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=4193087617: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_2982 on theBenchmark for (2982ds/2470Mi)
% 14.96/2.66  % (508888)Instruction limit reached! 
% 14.96/2.66  % (508888)------------------------------
% 14.96/2.66  % (508888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.96/2.66  % (508888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/2.66  % (508888)CaDiCaL version: 2.1.3
% 14.96/2.66  % (508888)Termination reason: Instruction limit
% 14.96/2.66  % (508888)Termination phase: Saturation
% 14.96/2.66  % (508888)Time elapsed: 0.304 s
% 14.96/2.66  % (508888)Peak memory usage: 13 MB
% 14.96/2.66  % (508888)Instructions burned: 807 (million)
% 14.96/2.66  % (508896)Instruction limit reached! 
% 14.96/2.66  % (508896)------------------------------
% 14.96/2.66  % (508896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.96/2.66  % (508896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/2.66  % (508896)CaDiCaL version: 2.1.3
% 14.96/2.66  % (508896)Termination reason: Instruction limit
% 14.96/2.66  % (508896)Termination phase: Saturation
% 14.96/2.66  % (508896)Time elapsed: 0.198 s
% 14.96/2.66  % (508896)Peak memory usage: 12 MB
% 16.42/2.96  % (508896)Instructions burned: 251 (million)
% 16.42/2.96  % (508891)Instruction limit reached! 
% 16.42/2.96  % (508891)------------------------------
% 16.42/2.96  % (508891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/2.96  % (508891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/2.96  % (508891)CaDiCaL version: 2.1.3
% 16.42/2.96  % (508891)Termination reason: Instruction limit
% 16.42/2.96  % (508891)Termination phase: Saturation
% 16.42/2.96  % (508891)Time elapsed: 0.275 s
% 16.42/2.96  % (508891)Peak memory usage: 12 MB
% 16.42/2.96  % (508891)Instructions burned: 356 (million)
% 16.42/2.96  % (508900)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3306610778:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2981 on theBenchmark for (2981ds/673Mi)
% 16.42/2.96  % (508855)Instruction limit reached! 
% 16.42/2.96  % (508855)------------------------------
% 16.42/2.96  % (508855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/2.96  % (508855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/2.96  % (508855)CaDiCaL version: 2.1.3
% 16.42/2.96  % (508855)Termination reason: Instruction limit
% 16.42/2.96  % (508855)Termination phase: Saturation
% 16.42/2.96  % (508855)Time elapsed: 0.651 s
% 16.42/2.96  % (508855)Peak memory usage: 15 MB
% 16.42/2.96  % (508855)Instructions burned: 865 (million)
% 16.42/2.96  % (508901)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3868580828:i=116:ep=RSTC:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/116Mi)
% 16.42/2.96  % (508902)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=612554024:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2980 on theBenchmark for (2980ds/270Mi)
% 16.42/2.96  % (508904)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=1405809695: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_2980 on theBenchmark for (2980ds/30Mi)
% 16.42/2.96  % (508904)Instruction limit reached! 
% 16.42/2.96  % (508904)------------------------------
% 16.42/2.96  % (508904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/2.96  % (508904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/2.96  % (508904)CaDiCaL version: 2.1.3
% 16.42/2.96  % (508904)Termination reason: Instruction limit
% 16.42/2.96  % (508904)Termination phase: Saturation
% 16.42/2.96  % (508904)Time elapsed: 0.025 s
% 16.42/2.96  % (508904)Peak memory usage: 12 MB
% 16.42/2.96  % (508904)Instructions burned: 31 (million)
% 16.42/2.96  % (508901)Instruction limit reached! 
% 16.42/2.96  % (508901)------------------------------
% 16.42/2.96  % (508901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/2.96  % (508901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/2.96  % (508901)CaDiCaL version: 2.1.3
% 16.42/2.96  % (508901)Termination reason: Instruction limit
% 16.42/2.96  % (508901)Termination phase: Saturation
% 16.42/2.96  % (508901)Time elapsed: 0.076 s
% 16.42/2.96  % (508901)Peak memory usage: 12 MB
% 16.42/2.96  % (508901)Instructions burned: 117 (million)
% 16.42/2.96  % (508908)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 16.42/2.96  % (508908)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3932139013:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2980 on theBenchmark for (2980ds/39Mi)
% 16.42/2.96  % (508909)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1745672755:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 16.42/2.96  % (508908)Instruction limit reached! 
% 16.42/2.96  % (508908)------------------------------
% 16.42/2.96  % (508908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/2.96  % (508908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/2.96  % (508908)CaDiCaL version: 2.1.3
% 16.42/2.96  % (508908)Termination reason: Instruction limit
% 16.42/2.96  % (508908)Termination phase: Saturation
% 16.42/2.96  % (508908)Time elapsed: 0.035 s
% 16.42/2.96  % (508908)Peak memory usage: 12 MB
% 16.42/2.96  % (508908)Instructions burned: 40 (million)
% 16.42/2.96  % (508912)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1894531679:i=158:av=off:rtra=on_2979 on theBenchmark for (2979ds/158Mi)
% 19.01/3.14  % (508902)Instruction limit reached! 
% 19.01/3.14  % (508902)------------------------------
% 19.01/3.14  % (508902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.01/3.14  % (508902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.01/3.14  % (508902)CaDiCaL version: 2.1.3
% 19.01/3.14  % (508902)Termination reason: Instruction limit
% 19.01/3.14  % (508902)Termination phase: Saturation
% 19.01/3.14  % (508902)Time elapsed: 0.213 s
% 19.01/3.14  % (508902)Peak memory usage: 12 MB
% 19.01/3.14  % (508902)Instructions burned: 270 (million)
% 19.01/3.14  % (508914)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
% 19.01/3.14  % (508914)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=2938925981:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 19.01/3.14  % (508912)Instruction limit reached! 
% 19.01/3.14  % (508912)------------------------------
% 19.01/3.14  % (508912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.01/3.14  % (508912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.01/3.14  % (508912)CaDiCaL version: 2.1.3
% 19.01/3.14  % (508912)Termination reason: Instruction limit
% 19.01/3.14  % (508912)Termination phase: Saturation
% 19.01/3.14  % (508912)Time elapsed: 0.139 s
% 19.01/3.14  % (508912)Peak memory usage: 12 MB
% 19.01/3.14  % (508912)Instructions burned: 159 (million)
% 19.01/3.14  % (508909)Instruction limit reached! 
% 19.01/3.14  % (508909)------------------------------
% 19.01/3.14  % (508909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.01/3.14  % (508909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.01/3.14  % (508909)CaDiCaL version: 2.1.3
% 19.01/3.14  % (508909)Termination reason: Instruction limit
% 19.01/3.14  % (508909)Termination phase: Saturation
% 19.01/3.14  % (508909)Time elapsed: 0.206 s
% 19.01/3.14  % (508909)Peak memory usage: 12 MB
% 19.01/3.14  % (508909)Instructions burned: 366 (million)
% 19.01/3.14  % (508916)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1628008086:i=213:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/213Mi)
% 19.01/3.14  % (508916)Refutation not found, incomplete strategy
% 19.01/3.14  % (508916)------------------------------
% 19.01/3.14  % (508916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.01/3.14  % (508916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.01/3.14  % (508916)CaDiCaL version: 2.1.3
% 19.01/3.14  % (508916)Termination reason: Refutation not found, incomplete strategy
% 19.01/3.14  % (508916)Time elapsed: 0.001 s
% 19.01/3.14  % (508916)Peak memory usage: 11 MB
% 19.01/3.14  % (508916)Instructions burned: 1 (million)
% 19.01/3.14  % (508916)------------------------------
% 19.01/3.14  % (508916)------------------------------
% 19.01/3.14  % (508917)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=3509549225:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/160Mi)
% 19.01/3.14  % (508917)Refutation not found, incomplete strategy
% 19.01/3.14  % (508917)------------------------------
% 19.01/3.14  % (508917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.01/3.14  % (508917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.01/3.14  % (508917)CaDiCaL version: 2.1.3
% 19.01/3.14  % (508917)Termination reason: Refutation not found, incomplete strategy
% 19.01/3.14  % (508917)Time elapsed: 0.002 s
% 19.01/3.14  % (508917)Peak memory usage: 11 MB
% 19.01/3.14  % (508917)Instructions burned: 1 (million)
% 19.01/3.14  % (508917)------------------------------
% 19.01/3.14  % (508917)------------------------------
% 19.01/3.14  % (508919)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1952031391:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/763Mi)
% 19.01/3.14  % (508921)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 19.01/3.14  % (508921)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=2198501263:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2977 on theBenchmark for (2977ds/237Mi)
% 19.85/3.25  % (508921)Refutation not found, incomplete strategy
% 19.85/3.25  % (508921)------------------------------
% 19.85/3.25  % (508921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.25  % (508921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.25  % (508921)CaDiCaL version: 2.1.3
% 19.85/3.25  % (508921)Termination reason: Refutation not found, incomplete strategy
% 19.85/3.25  % (508921)Time elapsed: 0.001 s
% 19.85/3.25  % (508921)Peak memory usage: 11 MB
% 19.85/3.25  % (508921)Instructions burned: 1 (million)
% 19.85/3.25  % (508921)------------------------------
% 19.85/3.25  % (508921)------------------------------
% 19.85/3.25  % (508900)Instruction limit reached! 
% 19.85/3.25  % (508900)------------------------------
% 19.85/3.25  % (508900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.25  % (508900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.25  % (508900)CaDiCaL version: 2.1.3
% 19.85/3.25  % (508900)Termination reason: Instruction limit
% 19.85/3.25  % (508900)Termination phase: Saturation
% 19.85/3.25  % (508900)Time elapsed: 0.416 s
% 19.85/3.25  % (508900)Peak memory usage: 12 MB
% 19.85/3.25  % (508900)Instructions burned: 674 (million)
% 19.85/3.25  % (508924)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=652663760:s2a=on:i=386:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/386Mi)
% 19.85/3.25  % (508925)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=4172397529:i=300:piset=and:nm=32:rtra=on_2976 on theBenchmark for (2976ds/300Mi)
% 19.85/3.25  % (508914)Instruction limit reached! 
% 19.85/3.25  % (508914)------------------------------
% 19.85/3.25  % (508914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.25  % (508914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.25  % (508914)CaDiCaL version: 2.1.3
% 19.85/3.25  % (508914)Termination reason: Instruction limit
% 19.85/3.25  % (508914)Termination phase: Saturation
% 19.85/3.25  % (508914)Time elapsed: 0.177 s
% 19.85/3.25  % (508914)Peak memory usage: 12 MB
% 19.85/3.25  % (508914)Instructions burned: 252 (million)
% 19.85/3.26  % (508928)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2568443108:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 19.85/3.26  % (508928)Refutation not found, incomplete strategy
% 19.85/3.26  % (508928)------------------------------
% 19.85/3.26  % (508928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.26  % (508928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.26  % (508928)CaDiCaL version: 2.1.3
% 19.85/3.26  % (508928)Termination reason: Refutation not found, incomplete strategy
% 19.85/3.26  % (508928)Time elapsed: 0.002 s
% 19.85/3.26  % (508928)Peak memory usage: 11 MB
% 19.85/3.26  % (508928)Instructions burned: 2 (million)
% 19.85/3.26  % (508928)------------------------------
% 19.85/3.26  % (508928)------------------------------
% 19.85/3.26  % (508930)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3991635449:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2975 on theBenchmark for (2975ds/379Mi)
% 19.85/3.26  % (508930)Refutation not found, incomplete strategy
% 19.85/3.26  % (508930)------------------------------
% 19.85/3.26  % (508930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.26  % (508930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.26  % (508930)CaDiCaL version: 2.1.3
% 19.85/3.26  % (508930)Termination reason: Refutation not found, incomplete strategy
% 19.85/3.26  % (508930)Time elapsed: 0.002 s
% 19.85/3.26  % (508930)Peak memory usage: 11 MB
% 19.85/3.26  % (508930)Instructions burned: 1 (million)
% 19.85/3.26  % (508930)------------------------------
% 19.85/3.26  % (508930)------------------------------
% 19.85/3.26  % (508932)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3089669910:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2975 on theBenchmark for (2975ds/429Mi)
% 19.85/3.26  % (508925)Instruction limit reached! 
% 19.85/3.26  % (508925)------------------------------
% 19.85/3.26  % (508925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.26  % (508925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.26  % (508925)CaDiCaL version: 2.1.3
% 20.39/3.34  % (508925)Termination reason: Instruction limit
% 20.39/3.34  % (508925)Termination phase: Saturation
% 20.39/3.34  % (508925)Time elapsed: 0.237 s
% 20.39/3.34  % (508925)Peak memory usage: 12 MB
% 20.39/3.34  % (508925)Instructions burned: 300 (million)
% 20.39/3.34  % (508934)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2928459162:i=478:bd=all:rtra=on_2973 on theBenchmark for (2973ds/478Mi)
% 20.39/3.34  % (508934)Refutation not found, incomplete strategy
% 20.39/3.34  % (508934)------------------------------
% 20.39/3.34  % (508934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.34  % (508934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.34  % (508934)CaDiCaL version: 2.1.3
% 20.39/3.34  % (508934)Termination reason: Refutation not found, incomplete strategy
% 20.39/3.34  % (508934)Time elapsed: 0.003 s
% 20.39/3.34  % (508934)Peak memory usage: 12 MB
% 20.39/3.34  % (508934)Instructions burned: 2 (million)
% 20.39/3.34  % (508934)------------------------------
% 20.39/3.34  % (508934)------------------------------
% 20.39/3.34  % (508924)Instruction limit reached! 
% 20.39/3.34  % (508924)------------------------------
% 20.39/3.34  % (508924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.34  % (508924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.34  % (508924)CaDiCaL version: 2.1.3
% 20.39/3.34  % (508924)Termination reason: Instruction limit
% 20.39/3.34  % (508924)Termination phase: Saturation
% 20.39/3.34  % (508924)Time elapsed: 0.307 s
% 20.39/3.34  % (508924)Peak memory usage: 12 MB
% 20.39/3.34  % (508924)Instructions burned: 387 (million)
% 20.39/3.34  % (508936)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1238810806:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2973 on theBenchmark for (2973ds/445Mi)
% 20.39/3.34  % (508937)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3685759600:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/71Mi)
% 20.39/3.34  % (508919)Instruction limit reached! 
% 20.39/3.34  % (508919)------------------------------
% 20.39/3.34  % (508919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.34  % (508919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.34  % (508919)CaDiCaL version: 2.1.3
% 20.39/3.34  % (508919)Termination reason: Instruction limit
% 20.39/3.34  % (508919)Termination phase: Saturation
% 20.39/3.34  % (508919)Time elapsed: 0.453 s
% 20.39/3.34  % (508919)Peak memory usage: 13 MB
% 20.39/3.34  % (508919)Instructions burned: 764 (million)
% 20.39/3.34  % (508937)Instruction limit reached! 
% 20.39/3.34  % (508937)------------------------------
% 20.39/3.34  % (508937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.34  % (508937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.34  % (508937)CaDiCaL version: 2.1.3
% 20.39/3.34  % (508937)Termination reason: Instruction limit
% 20.39/3.34  % (508937)Termination phase: Saturation
% 20.39/3.34  % (508937)Time elapsed: 0.066 s
% 20.39/3.34  % (508937)Peak memory usage: 12 MB
% 20.39/3.34  % (508937)Instructions burned: 73 (million)
% 20.39/3.34  % (508940)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1831460866:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/302Mi)
% 20.39/3.34  % (508940)Refutation not found, incomplete strategy
% 20.39/3.34  % (508940)------------------------------
% 20.39/3.34  % (508940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.34  % (508940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.34  % (508940)CaDiCaL version: 2.1.3
% 20.39/3.34  % (508940)Termination reason: Refutation not found, incomplete strategy
% 20.39/3.34  % (508940)Time elapsed: 0.002 s
% 20.39/3.34  % (508940)Peak memory usage: 11 MB
% 20.39/3.34  % (508940)Instructions burned: 1 (million)
% 20.39/3.34  % (508940)------------------------------
% 20.39/3.34  % (508940)------------------------------
% 20.39/3.34  % (508941)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1592623750:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/4980Mi)
% 20.39/3.34  % (508941)Refutation not found, incomplete strategy
% 20.39/3.34  % (508941)------------------------------
% 20.39/3.34  % (508941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.34  % (508941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.34  % (508941)CaDiCaL version: 2.1.3
% 20.56/3.46  % (508941)Termination reason: Refutation not found, incomplete strategy
% 20.56/3.46  % (508941)Time elapsed: 0.001 s
% 20.56/3.46  % (508941)Peak memory usage: 11 MB
% 20.56/3.46  % (508941)Instructions burned: 1 (million)
% 20.56/3.46  % (508941)------------------------------
% 20.56/3.46  % (508941)------------------------------
% 20.56/3.46  % (508943)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
% 20.56/3.46  % (508943)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.56/3.46  % (508943)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4059654949:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2972 on theBenchmark for (2972ds/100Mi)
% 20.56/3.46  % (508945)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=2495997719:i=76:piset=equals:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/76Mi)
% 20.56/3.46  % (508932)Instruction limit reached! 
% 20.56/3.46  % (508932)------------------------------
% 20.56/3.46  % (508932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.56/3.46  % (508932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.56/3.46  % (508932)CaDiCaL version: 2.1.3
% 20.56/3.46  % (508932)Termination reason: Instruction limit
% 20.56/3.46  % (508932)Termination phase: Saturation
% 20.56/3.46  % (508932)Time elapsed: 0.340 s
% 20.56/3.46  % (508932)Peak memory usage: 12 MB
% 20.56/3.46  % (508932)Instructions burned: 429 (million)
% 20.56/3.46  % (508898)Instruction limit reached! 
% 20.56/3.46  % (508898)------------------------------
% 20.56/3.46  % (508898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.56/3.46  % (508898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.56/3.46  % (508898)CaDiCaL version: 2.1.3
% 20.56/3.46  % (508898)Termination reason: Instruction limit
% 20.56/3.46  % (508898)Termination phase: Saturation
% 20.56/3.46  % (508898)Time elapsed: 1.115 s
% 20.56/3.46  % (508898)Peak memory usage: 16 MB
% 20.56/3.46  % (508898)Instructions burned: 2471 (million)
% 20.56/3.46  % (508948)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1210023673:i=289:rtra=on_2971 on theBenchmark for (2971ds/289Mi)
% 20.56/3.46  % (508948)Refutation not found, incomplete strategy
% 20.56/3.46  % (508948)------------------------------
% 20.56/3.46  % (508948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.56/3.46  % (508948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.56/3.46  % (508948)CaDiCaL version: 2.1.3
% 20.56/3.46  % (508948)Termination reason: Refutation not found, incomplete strategy
% 20.56/3.46  % (508948)Time elapsed: 0.003 s
% 20.56/3.46  % (508948)Peak memory usage: 12 MB
% 20.56/3.46  % (508948)Instructions burned: 2 (million)
% 20.56/3.46  % (508948)------------------------------
% 20.56/3.46  % (508948)------------------------------
% 20.56/3.46  % (508949)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=1377846471:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2971 on theBenchmark for (2971ds/493Mi)
% 20.56/3.46  % (508945)Instruction limit reached! 
% 20.56/3.46  % (508945)------------------------------
% 20.56/3.46  % (508945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.56/3.46  % (508945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.56/3.46  % (508945)CaDiCaL version: 2.1.3
% 20.56/3.46  % (508945)Termination reason: Instruction limit
% 20.56/3.46  % (508945)Termination phase: Saturation
% 20.56/3.46  % (508945)Time elapsed: 0.063 s
% 20.56/3.46  % (508945)Peak memory usage: 12 MB
% 20.56/3.46  % (508945)Instructions burned: 77 (million)
% 20.56/3.46  % (508951)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=1258613112:cond=on:i=34:hud=10:nm=10:rtra=on_2971 on theBenchmark for (2971ds/34Mi)
% 20.56/3.46  % (508943)Instruction limit reached! 
% 20.56/3.46  % (508943)------------------------------
% 20.56/3.46  % (508943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.56/3.46  % (508943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55  % (508943)CaDiCaL version: 2.1.3
% 21.51/3.55  % (508943)Termination reason: Instruction limit
% 21.51/3.55  % (508943)Termination phase: Saturation
% 21.51/3.55  % (508943)Time elapsed: 0.082 s
% 21.51/3.55  % (508943)Peak memory usage: 12 MB
% 21.51/3.55  % (508943)Instructions burned: 100 (million)
% 21.51/3.55  % (508953)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 21.51/3.55  % (508953)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=1508205201:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2971 on theBenchmark for (2971ds/372Mi)
% 21.51/3.55  % (508953)Refutation not found, incomplete strategy
% 21.51/3.55  % (508953)------------------------------
% 21.51/3.55  % (508953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.51/3.55  % (508953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55  % (508953)CaDiCaL version: 2.1.3
% 21.51/3.55  % (508953)Termination reason: Refutation not found, incomplete strategy
% 21.51/3.55  % (508953)Time elapsed: 0.004 s
% 21.51/3.55  % (508953)Peak memory usage: 11 MB
% 21.51/3.55  % (508953)Instructions burned: 3 (million)
% 21.51/3.55  % (508953)------------------------------
% 21.51/3.55  % (508953)------------------------------
% 21.51/3.55  % (508882)Instruction limit reached! 
% 21.51/3.55  % (508882)------------------------------
% 21.51/3.55  % (508882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.51/3.55  % (508882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55  % (508882)CaDiCaL version: 2.1.3
% 21.51/3.55  % (508882)Termination reason: Instruction limit
% 21.51/3.55  % (508882)Termination phase: Saturation
% 21.51/3.55  % (508882)Time elapsed: 1.381 s
% 21.51/3.55  % (508882)Peak memory usage: 13 MB
% 21.51/3.55  % (508882)Instructions burned: 2187 (million)
% 21.51/3.55  % (508951)Instruction limit reached! 
% 21.51/3.55  % (508951)------------------------------
% 21.51/3.55  % (508951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.51/3.55  % (508951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55  % (508951)CaDiCaL version: 2.1.3
% 21.51/3.55  % (508951)Termination reason: Instruction limit
% 21.51/3.55  % (508951)Termination phase: Saturation
% 21.51/3.55  % (508951)Time elapsed: 0.030 s
% 21.51/3.55  % (508951)Peak memory usage: 12 MB
% 21.51/3.55  % (508951)Instructions burned: 34 (million)
% 21.51/3.55  % (508955)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=704420938:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2970 on theBenchmark for (2970ds/670Mi)
% 21.51/3.55  % (508957)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=913114394:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/647Mi)
% 21.51/3.55  % (508957)Refutation not found, incomplete strategy
% 21.51/3.55  % (508957)------------------------------
% 21.51/3.55  % (508957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.51/3.55  % (508957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.51/3.55  % (508957)CaDiCaL version: 2.1.3
% 21.51/3.55  % (508957)Termination reason: Refutation not found, incomplete strategy
% 21.51/3.55  % (508957)Time elapsed: 0.001 s
% 21.51/3.55  % (508957)Peak memory usage: 11 MB
% 21.51/3.55  % (508957)Instructions burned: 1 (million)
% 21.51/3.55  % (508957)------------------------------
% 21.51/3.55  % (508957)------------------------------
% 21.51/3.55  % (508958)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=3456602170:i=857:add=off:kws=frequency:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/857Mi)
% 21.51/3.55  % (508959)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=235546225:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/693Mi)
% 21.51/3.55  % (508962)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3035848993:i=285:hud=10:bd=all:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/285Mi)
% 21.51/3.55  % (508962)Refutation not found, incomplete strategy
% 21.51/3.55  % (508962)------------------------------
% 21.51/3.55  % (508962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.51/3.55  % (508962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.44/3.87  % (508962)CaDiCaL version: 2.1.3
% 22.44/3.87  % (508962)Termination reason: Refutation not found, incomplete strategy
% 22.44/3.87  % (508962)Time elapsed: 0.002 s
% 22.44/3.87  % (508962)Peak memory usage: 11 MB
% 22.44/3.87  % (508962)Instructions burned: 1 (million)
% 22.44/3.87  % (508962)------------------------------
% 22.44/3.87  % (508962)------------------------------
% 22.44/3.87  % (508966)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.44/3.87  % (508966)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=1533299170:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2970 on theBenchmark for (2970ds/52Mi)
% 22.44/3.87  % (508936)Instruction limit reached! 
% 22.44/3.87  % (508936)------------------------------
% 22.44/3.87  % (508936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.44/3.87  % (508936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.44/3.87  % (508936)CaDiCaL version: 2.1.3
% 22.44/3.87  % (508936)Termination reason: Instruction limit
% 22.44/3.87  % (508936)Termination phase: Saturation
% 22.44/3.87  % (508936)Time elapsed: 0.373 s
% 22.44/3.87  % (508936)Peak memory usage: 15 MB
% 22.44/3.87  % (508936)Instructions burned: 445 (million)
% 22.44/3.87  % (508966)Instruction limit reached! 
% 22.44/3.87  % (508966)------------------------------
% 22.44/3.87  % (508966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.44/3.87  % (508966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.44/3.87  % (508966)CaDiCaL version: 2.1.3
% 22.44/3.87  % (508966)Termination reason: Instruction limit
% 22.44/3.87  % (508966)Termination phase: Saturation
% 22.44/3.87  % (508966)Time elapsed: 0.038 s
% 22.44/3.87  % (508966)Peak memory usage: 12 MB
% 22.44/3.87  % (508966)Instructions burned: 58 (million)
% 22.44/3.87  % (508949)Instruction limit reached! 
% 22.44/3.87  % (508949)------------------------------
% 22.44/3.87  % (508949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.44/3.87  % (508949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.44/3.87  % (508949)CaDiCaL version: 2.1.3
% 22.44/3.87  % (508949)Termination reason: Instruction limit
% 22.44/3.87  % (508949)Termination phase: Saturation
% 22.44/3.87  % (508949)Time elapsed: 0.194 s
% 22.44/3.87  % (508949)Peak memory usage: 12 MB
% 22.44/3.87  % (508949)Instructions burned: 494 (million)
% 22.44/3.87  % (508968)dis+10_1_si=on:random_seed=4017247088:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2969 on theBenchmark for (2969ds/407Mi)
% 22.44/3.87  % (508970)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=2919367666:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/336Mi)
% 22.44/3.87  % (508970)Refutation not found, incomplete strategy
% 22.44/3.87  % (508970)------------------------------
% 22.44/3.87  % (508970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.44/3.87  % (508970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.44/3.87  % (508970)CaDiCaL version: 2.1.3
% 22.44/3.87  % (508970)Termination reason: Refutation not found, incomplete strategy
% 22.44/3.87  % (508970)Time elapsed: 0.001 s
% 22.44/3.87  % (508970)Peak memory usage: 11 MB
% 22.44/3.87  % (508970)Instructions burned: 1 (million)
% 22.44/3.87  % (508968)Refutation not found, incomplete strategy
% 22.44/3.87  % (508968)------------------------------
% 22.44/3.87  % (508968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.44/3.87  % (508968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.44/3.87  % (508968)CaDiCaL version: 2.1.3
% 22.44/3.87  % (508969)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=575776976:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/2240Mi)
% 22.44/3.87  % (508968)Termination reason: Refutation not found, incomplete strategy
% 22.44/3.87  % (508968)Time elapsed: 0.002 s
% 22.44/3.87  % (508968)Peak memory usage: 11 MB
% 22.44/3.87  % (508968)Instructions burned: 1 (million)
% 22.44/3.87  % (508970)------------------------------
% 22.44/3.87  % (508970)------------------------------
% 22.44/3.87  % (508968)------------------------------
% 22.44/3.87  % (508968)------------------------------
% 22.44/3.87  % (508974)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1054562809:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2969 on theBenchmark for (2969ds/1142Mi)
% 27.11/4.23  % (508974)Refutation not found, incomplete strategy
% 27.11/4.23  % (508974)------------------------------
% 27.11/4.23  % (508974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.11/4.23  % (508974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.11/4.23  % (508974)CaDiCaL version: 2.1.3
% 27.11/4.23  % (508974)Termination reason: Refutation not found, incomplete strategy
% 27.11/4.23  % (508974)Time elapsed: 0.014 s
% 27.11/4.23  % (508974)Peak memory usage: 12 MB
% 27.11/4.23  % (508974)Instructions burned: 32 (million)
% 27.11/4.23  % (508974)------------------------------
% 27.11/4.23  % (508974)------------------------------
% 27.11/4.23  % (508975)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1664544185:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/376Mi)
% 27.11/4.23  % (508975)Refutation not found, incomplete strategy
% 27.11/4.23  % (508975)------------------------------
% 27.11/4.23  % (508975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.11/4.23  % (508975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.11/4.23  % (508975)CaDiCaL version: 2.1.3
% 27.11/4.23  % (508975)Termination reason: Refutation not found, incomplete strategy
% 27.11/4.23  % (508975)Time elapsed: 0.001 s
% 27.11/4.23  % (508975)Peak memory usage: 11 MB
% 27.11/4.23  % (508975)Instructions burned: 1 (million)
% 27.11/4.23  % (508975)------------------------------
% 27.11/4.23  % (508975)------------------------------
% 27.11/4.23  % (508977)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=4234154753:i=766:bd=all:rtra=on_2968 on theBenchmark for (2968ds/766Mi)
% 27.11/4.23  % (508977)Refutation not found, incomplete strategy
% 27.11/4.23  % (508977)------------------------------
% 27.11/4.23  % (508977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.11/4.23  % (508977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.11/4.23  % (508977)CaDiCaL version: 2.1.3
% 27.11/4.23  % (508977)Termination reason: Refutation not found, incomplete strategy
% 27.11/4.23  % (508977)Time elapsed: 0.001 s
% 27.11/4.23  % (508977)Peak memory usage: 12 MB
% 27.11/4.23  % (508977)Instructions burned: 2 (million)
% 27.11/4.23  % (508977)------------------------------
% 27.11/4.23  % (508977)------------------------------
% 27.11/4.23  % (508979)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 27.11/4.23  % (508981)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=3678390170:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2968 on theBenchmark for (2968ds/6359Mi)
% 27.11/4.23  % (508979)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=4209030030: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_2968 on theBenchmark for (2968ds/959Mi)
% 27.11/4.23  % (508979)Refutation not found, incomplete strategy
% 27.11/4.23  % (508979)------------------------------
% 27.11/4.23  % (508979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.11/4.23  % (508979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.11/4.23  % (508979)CaDiCaL version: 2.1.3
% 27.11/4.23  % (508979)Termination reason: Refutation not found, incomplete strategy
% 27.11/4.23  % (508979)Time elapsed: 0.001 s
% 27.11/4.23  % (508979)Peak memory usage: 11 MB
% 27.11/4.23  % (508979)Instructions burned: 1 (million)
% 27.11/4.23  % (508979)------------------------------
% 27.11/4.23  % (508979)------------------------------
% 27.11/4.23  % (508984)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1171544886:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2968 on theBenchmark for (2968ds/35Mi)
% 27.11/4.23  % (508984)Refutation not found, incomplete strategy
% 27.11/4.23  % (508984)------------------------------
% 27.11/4.23  % (508984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.11/4.23  % (508984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.11/4.23  % (508984)CaDiCaL version: 2.1.3
% 27.11/4.23  % (508984)Termination reason: Refutation not found, incomplete strategy
% 27.11/4.23  % (508984)Time elapsed: 0.001 s
% 27.11/4.23  % (508984)Peak memory usage: 11 MB
% 28.26/4.45  % (508984)------------------------------
% 28.26/4.45  % (508984)------------------------------
% 28.26/4.45  % (508986)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2656979764:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2967 on theBenchmark for (2967ds/53Mi)
% 28.26/4.45  % (508986)Instruction limit reached! 
% 28.26/4.45  % (508986)------------------------------
% 28.26/4.45  % (508986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.26/4.45  % (508986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.26/4.45  % (508986)CaDiCaL version: 2.1.3
% 28.26/4.45  % (508986)Termination reason: Instruction limit
% 28.26/4.45  % (508986)Termination phase: Saturation
% 28.26/4.45  % (508986)Time elapsed: 0.050 s
% 28.26/4.45  % (508986)Peak memory usage: 12 MB
% 28.26/4.45  % (508986)Instructions burned: 53 (million)
% 28.26/4.45  % (508988)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2720211939:s2a=on:i=876:s2at=6:nm=2:rtra=on_2967 on theBenchmark for (2967ds/876Mi)
% 28.26/4.45  % (508955)Instruction limit reached! 
% 28.26/4.45  % (508955)------------------------------
% 28.26/4.45  % (508955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.26/4.45  % (508955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.26/4.45  % (508955)CaDiCaL version: 2.1.3
% 28.26/4.45  % (508955)Termination reason: Instruction limit
% 28.26/4.45  % (508955)Termination phase: Saturation
% 28.26/4.45  % (508955)Time elapsed: 0.442 s
% 28.26/4.45  % (508955)Peak memory usage: 13 MB
% 28.26/4.45  % (508955)Instructions burned: 670 (million)
% 28.26/4.45  % (508990)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3305450555:i=57:ep=R:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/57Mi)
% 28.26/4.45  % (508990)Instruction limit reached! 
% 28.26/4.45  % (508990)------------------------------
% 28.26/4.45  % (508990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.26/4.45  % (508990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.26/4.45  % (508990)CaDiCaL version: 2.1.3
% 28.26/4.45  % (508990)Termination reason: Instruction limit
% 28.26/4.45  % (508990)Termination phase: Saturation
% 28.26/4.45  % (508990)Time elapsed: 0.046 s
% 28.26/4.45  % (508990)Peak memory usage: 12 MB
% 28.26/4.45  % (508990)Instructions burned: 57 (million)
% 28.26/4.45  % (508992)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.26/4.45  % (508959)Instruction limit reached! 
% 28.26/4.45  % (508959)------------------------------
% 28.26/4.45  % (508959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.26/4.45  % (508959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.26/4.45  % (508959)CaDiCaL version: 2.1.3
% 28.26/4.45  % (508959)Termination reason: Instruction limit
% 28.26/4.45  % (508959)Termination phase: Saturation
% 28.26/4.45  % (508959)Time elapsed: 0.524 s
% 28.26/4.45  % (508959)Peak memory usage: 13 MB
% 28.26/4.45  % (508959)Instructions burned: 693 (million)
% 28.26/4.45  % (508992)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1834961989:i=306:bd=all:rtra=on_2965 on theBenchmark for (2965ds/306Mi)
% 28.26/4.45  % (508992)Refutation not found, incomplete strategy
% 28.26/4.45  % (508992)------------------------------
% 28.26/4.45  % (508992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.26/4.45  % (508992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.26/4.45  % (508992)CaDiCaL version: 2.1.3
% 28.26/4.45  % (508992)Termination reason: Refutation not found, incomplete strategy
% 28.26/4.45  % (508992)Time elapsed: 0.004 s
% 28.26/4.45  % (508992)Peak memory usage: 12 MB
% 28.26/4.45  % (508992)Instructions burned: 2 (million)
% 28.26/4.45  % (508992)------------------------------
% 28.26/4.45  % (508992)------------------------------
% 28.26/4.45  % (508958)Instruction limit reached! 
% 28.26/4.45  % (508958)------------------------------
% 28.26/4.45  % (508958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.26/4.45  % (508958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.26/4.45  % (508958)CaDiCaL version: 2.1.3
% 28.26/4.45  % (508958)Termination reason: Instruction limit
% 28.26/4.45  % (508958)Termination phase: Saturation
% 28.26/4.45  % (508958)Time elapsed: 0.559 s
% 28.26/4.45  % (508958)Peak memory usage: 12 MB
% 28.26/4.45  % (508958)Instructions burned: 858 (million)
% 29.38/4.64  % (508993)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1872693106:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/262Mi)
% 29.38/4.64  % (508993)Refutation not found, incomplete strategy
% 29.38/4.64  % (508993)------------------------------
% 29.38/4.64  % (508993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.38/4.64  % (508993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.38/4.64  % (508993)CaDiCaL version: 2.1.3
% 29.38/4.64  % (508993)Termination reason: Refutation not found, incomplete strategy
% 29.38/4.64  % (508993)Time elapsed: 0.001 s
% 29.38/4.64  % (508993)Peak memory usage: 11 MB
% 29.38/4.64  % (508993)Instructions burned: 1 (million)
% 29.38/4.64  % (508993)------------------------------
% 29.38/4.64  % (508993)------------------------------
% 29.38/4.64  % (508995)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 29.38/4.64  % (508995)ott+1002_16_sil=128000:si=on:random_seed=2116956800:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2964 on theBenchmark for (2964ds/409Mi)
% 29.38/4.64  % (508997)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2309405168:s2a=on:i=381:rtra=on_2964 on theBenchmark for (2964ds/381Mi)
% 29.38/4.64  % (508998)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4246376106:cond=on:i=324:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/324Mi)
% 29.38/4.64  % (508998)Instruction limit reached! 
% 29.38/4.64  % (508998)------------------------------
% 29.38/4.64  % (508998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.38/4.64  % (508998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.38/4.64  % (508998)CaDiCaL version: 2.1.3
% 29.38/4.64  % (508998)Termination reason: Instruction limit
% 29.38/4.64  % (508998)Termination phase: Saturation
% 29.38/4.64  % (508998)Time elapsed: 0.254 s
% 29.38/4.64  % (508998)Peak memory usage: 12 MB
% 29.38/4.64  % (508998)Instructions burned: 325 (million)
% 29.38/4.64  % (508995)Instruction limit reached! 
% 29.38/4.64  % (508995)------------------------------
% 29.38/4.64  % (508995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.38/4.64  % (508995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.38/4.64  % (508995)CaDiCaL version: 2.1.3
% 29.38/4.64  % (508995)Termination reason: Instruction limit
% 29.38/4.64  % (508995)Termination phase: Saturation
% 29.38/4.64  % (508995)Time elapsed: 0.276 s
% 29.38/4.64  % (508995)Peak memory usage: 13 MB
% 29.38/4.64  % (508995)Instructions burned: 410 (million)
% 29.38/4.64  % (509003)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 29.38/4.64  % (509003)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4042055294:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/124Mi)
% 29.38/4.64  % (508997)Instruction limit reached! 
% 29.38/4.64  % (508997)------------------------------
% 29.38/4.64  % (508997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.38/4.64  % (508997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.38/4.64  % (508997)CaDiCaL version: 2.1.3
% 29.38/4.64  % (508997)Termination reason: Instruction limit
% 29.38/4.64  % (508997)Termination phase: Saturation
% 29.38/4.64  % (508997)Time elapsed: 0.294 s
% 29.38/4.64  % (508997)Peak memory usage: 12 MB
% 29.38/4.64  % (508997)Instructions burned: 381 (million)
% 29.38/4.64  % (509002)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3997057519:i=240:kws=inv_precedence:rtra=on_2961 on theBenchmark for (2961ds/240Mi)
% 29.38/4.64  % (509002)Refutation not found, incomplete strategy
% 29.38/4.64  % (509002)------------------------------
% 29.38/4.64  % (509002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.38/4.64  % (509002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.38/4.64  % (509002)CaDiCaL version: 2.1.3
% 29.38/4.64  % (509002)Termination reason: Refutation not found, incomplete strategy
% 29.38/4.64  % (509002)Time elapsed: 0.005 s
% 29.38/4.64  % (509002)Peak memory usage: 12 MB
% 29.38/4.64  % (509002)Instructions burned: 2 (million)
% 29.38/4.64  % (509002)------------------------------
% 29.38/4.64  % (509002)------------------------------
% 29.38/4.64  % (509005)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2970771038:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2961 on theBenchmark for (2961ds/223Mi)
% 33.18/5.11  % (509007)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4146190624:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2961 on theBenchmark for (2961ds/282Mi)
% 33.18/5.11  % (509003)Instruction limit reached! 
% 33.18/5.11  % (509003)------------------------------
% 33.18/5.11  % (509003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.11  % (509003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.11  % (509003)CaDiCaL version: 2.1.3
% 33.18/5.11  % (509003)Termination reason: Instruction limit
% 33.18/5.11  % (509003)Termination phase: Saturation
% 33.18/5.11  % (509003)Time elapsed: 0.086 s
% 33.18/5.11  % (509003)Peak memory usage: 12 MB
% 33.18/5.11  % (509003)Instructions burned: 125 (million)
% 33.18/5.11  % (509010)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1195352178:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/464Mi)
% 33.18/5.11  % (509010)Refutation not found, incomplete strategy
% 33.18/5.11  % (509010)------------------------------
% 33.18/5.11  % (509010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.11  % (509010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.11  % (509010)CaDiCaL version: 2.1.3
% 33.18/5.11  % (509010)Termination reason: Refutation not found, incomplete strategy
% 33.18/5.11  % (509010)Time elapsed: 0.002 s
% 33.18/5.11  % (509010)Peak memory usage: 11 MB
% 33.18/5.11  % (509010)Instructions burned: 1 (million)
% 33.18/5.11  % (509010)------------------------------
% 33.18/5.11  % (509010)------------------------------
% 33.18/5.11  % (509012)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=2106362053:i=88:s2at=3:nm=2:rtra=on:rawr=on_2960 on theBenchmark for (2960ds/88Mi)
% 33.18/5.11  % (508988)Instruction limit reached! 
% 33.18/5.11  % (508988)------------------------------
% 33.18/5.11  % (508988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.11  % (508988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.11  % (508988)CaDiCaL version: 2.1.3
% 33.18/5.11  % (508988)Termination reason: Instruction limit
% 33.18/5.11  % (508988)Termination phase: Saturation
% 33.18/5.11  % (508988)Time elapsed: 0.682 s
% 33.18/5.11  % (508988)Peak memory usage: 12 MB
% 33.18/5.11  % (508988)Instructions burned: 876 (million)
% 33.18/5.11  % (509005)Instruction limit reached! 
% 33.18/5.11  % (509005)------------------------------
% 33.18/5.11  % (509005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.11  % (509005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.11  % (509005)CaDiCaL version: 2.1.3
% 33.18/5.11  % (509005)Termination reason: Instruction limit
% 33.18/5.11  % (509005)Termination phase: Saturation
% 33.18/5.11  % (509005)Time elapsed: 0.128 s
% 33.18/5.11  % (509005)Peak memory usage: 13 MB
% 33.18/5.11  % (509005)Instructions burned: 224 (million)
% 33.18/5.11  % (509014)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=213803342:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2959 on theBenchmark for (2959ds/280Mi)
% 33.18/5.11  % (509015)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 33.18/5.11  % (509015)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3789071005:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/4386Mi)
% 33.18/5.11  % (509012)Instruction limit reached! 
% 33.18/5.11  % (509012)------------------------------
% 33.18/5.11  % (509012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.11  % (509012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.11  % (509012)CaDiCaL version: 2.1.3
% 33.18/5.11  % (509012)Termination reason: Instruction limit
% 33.18/5.11  % (509012)Termination phase: Saturation
% 33.18/5.11  % (509012)Time elapsed: 0.066 s
% 33.18/5.11  % (509012)Peak memory usage: 12 MB
% 33.18/5.11  % (509012)Instructions burned: 89 (million)
% 33.18/5.11  % (509018)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 33.18/5.11  % (509018)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 33.18/5.11  % (509018)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=2605488603:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2959 on theBenchmark for (2959ds/483Mi)
% 34.53/5.36  % (509018)Refutation not found, incomplete strategy
% 34.53/5.36  % (509018)------------------------------
% 34.53/5.36  % (509018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.36  % (509018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.36  % (509018)CaDiCaL version: 2.1.3
% 34.53/5.36  % (509018)Termination reason: Refutation not found, incomplete strategy
% 34.53/5.36  % (509018)Time elapsed: 0.001 s
% 34.53/5.36  % (509018)Peak memory usage: 12 MB
% 34.53/5.36  % (509018)Instructions burned: 1 (million)
% 34.53/5.36  % (509018)------------------------------
% 34.53/5.36  % (509018)------------------------------
% 34.53/5.36  % (509020)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=965852580:i=73:rtra=on_2958 on theBenchmark for (2958ds/73Mi)
% 34.53/5.36  % (509020)Refutation not found, incomplete strategy
% 34.53/5.36  % (509020)------------------------------
% 34.53/5.36  % (509020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.36  % (509020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.36  % (509020)CaDiCaL version: 2.1.3
% 34.53/5.36  % (509020)Termination reason: Refutation not found, incomplete strategy
% 34.53/5.36  % (509020)Time elapsed: 0.003 s
% 34.53/5.36  % (509020)Peak memory usage: 12 MB
% 34.53/5.36  % (509020)Instructions burned: 2 (million)
% 34.53/5.36  % (509020)------------------------------
% 34.53/5.36  % (509020)------------------------------
% 34.53/5.36  % (509007)Instruction limit reached! 
% 34.53/5.36  % (509007)------------------------------
% 34.53/5.36  % (509007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.36  % (509007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.36  % (509007)CaDiCaL version: 2.1.3
% 34.53/5.36  % (509007)Termination reason: Instruction limit
% 34.53/5.36  % (509007)Termination phase: Saturation
% 34.53/5.36  % (509007)Time elapsed: 0.245 s
% 34.53/5.36  % (509007)Peak memory usage: 13 MB
% 34.53/5.36  % (509007)Instructions burned: 283 (million)
% 34.53/5.36  % (509023)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 34.53/5.36  % (509022)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3352025384:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2958 on theBenchmark for (2958ds/176Mi)
% 34.53/5.36  % (509023)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2756449516:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2958 on theBenchmark for (2958ds/39Mi)
% 34.53/5.36  % (509023)Instruction limit reached! 
% 34.53/5.36  % (509023)------------------------------
% 34.53/5.36  % (509023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.36  % (509023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.36  % (509023)CaDiCaL version: 2.1.3
% 34.53/5.36  % (509023)Termination reason: Instruction limit
% 34.53/5.36  % (509023)Termination phase: Saturation
% 34.53/5.36  % (509023)Time elapsed: 0.034 s
% 34.53/5.36  % (509023)Peak memory usage: 12 MB
% 34.53/5.36  % (509023)Instructions burned: 39 (million)
% 34.53/5.36  % (509026)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1646503196:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2957 on theBenchmark for (2957ds/708Mi)
% 34.53/5.36  % (509014)Instruction limit reached! 
% 34.53/5.36  % (509014)------------------------------
% 34.53/5.36  % (509014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.53/5.36  % (509014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.36  % (509014)CaDiCaL version: 2.1.3
% 34.53/5.36  % (509014)Termination reason: Instruction limit
% 34.53/5.36  % (509014)Termination phase: Saturation
% 34.53/5.36  % (509014)Time elapsed: 0.226 s
% 34.53/5.36  % (509014)Peak memory usage: 12 MB
% 34.53/5.36  % (509014)Instructions burned: 281 (million)
% 34.53/5.36  % (509028)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
% 34.53/5.36  % (509028)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=705420793:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/252Mi)
% 35.89/5.67  % (509022)Instruction limit reached! 
% 35.89/5.67  % (509022)------------------------------
% 35.89/5.67  % (509022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.89/5.67  % (509022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.67  % (509022)CaDiCaL version: 2.1.3
% 35.89/5.67  % (509022)Termination reason: Instruction limit
% 35.89/5.67  % (509022)Termination phase: Saturation
% 35.89/5.67  % (509022)Time elapsed: 0.143 s
% 35.89/5.67  % (509022)Peak memory usage: 12 MB
% 35.89/5.67  % (509022)Instructions burned: 176 (million)
% 35.89/5.67  % (509030)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=3602258630:i=823:fsr=off:rtra=on_2956 on theBenchmark for (2956ds/823Mi)
% 35.89/5.67  % (509028)Instruction limit reached! 
% 35.89/5.67  % (509028)------------------------------
% 35.89/5.67  % (509028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.89/5.67  % (509028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.67  % (509028)CaDiCaL version: 2.1.3
% 35.89/5.67  % (509028)Termination reason: Instruction limit
% 35.89/5.67  % (509028)Termination phase: Saturation
% 35.89/5.67  % (509028)Time elapsed: 0.168 s
% 35.89/5.67  % (509028)Peak memory usage: 12 MB
% 35.89/5.67  % (509028)Instructions burned: 253 (million)
% 35.89/5.67  % (509032)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 35.89/5.67  % (509032)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3442382654:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/16202Mi)
% 35.89/5.67  % (509032)Refutation not found, incomplete strategy
% 35.89/5.67  % (509032)------------------------------
% 35.89/5.67  % (509032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.89/5.67  % (509032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.67  % (509032)CaDiCaL version: 2.1.3
% 35.89/5.67  % (509032)Termination reason: Refutation not found, incomplete strategy
% 35.89/5.67  % (509032)Time elapsed: 0.002 s
% 35.89/5.67  % (509032)Peak memory usage: 11 MB
% 35.89/5.67  % (509032)Instructions burned: 1 (million)
% 35.89/5.67  % (509032)------------------------------
% 35.89/5.67  % (509032)------------------------------
% 35.89/5.67  % (509034)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=533530890:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2955 on theBenchmark for (2955ds/300Mi)
% 35.89/5.67  % (509026)Instruction limit reached! 
% 35.89/5.67  % (509026)------------------------------
% 35.89/5.67  % (509026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.89/5.67  % (509026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.67  % (509026)CaDiCaL version: 2.1.3
% 35.89/5.67  % (509026)Termination reason: Instruction limit
% 35.89/5.67  % (509026)Termination phase: Saturation
% 35.89/5.67  % (509026)Time elapsed: 0.422 s
% 35.89/5.67  % (509026)Peak memory usage: 13 MB
% 35.89/5.67  % (509026)Instructions burned: 709 (million)
% 35.89/5.67  % (509036)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 35.89/5.67  % (509036)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 35.89/5.67  % (509036)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3474838099:i=177:add=on:bd=preordered:rtra=on:rawr=on_2953 on theBenchmark for (2953ds/177Mi)
% 35.89/5.67  % (508969)Instruction limit reached! 
% 35.89/5.67  % (508969)------------------------------
% 35.89/5.67  % (508969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.89/5.67  % (508969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.67  % (508969)CaDiCaL version: 2.1.3
% 35.89/5.67  % (508969)Termination reason: Instruction limit
% 35.89/5.67  % (508969)Termination phase: Saturation
% 35.89/5.67  % (508969)Time elapsed: 1.650 s
% 35.89/5.67  % (508969)Peak memory usage: 17 MB
% 35.89/5.67  % (508969)Instructions burned: 2240 (million)
% 35.89/5.67  % (509034)Instruction limit reached! 
% 35.89/5.67  % (509034)------------------------------
% 35.89/5.67  % (509034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.53/5.89  % (509034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/5.89  % (509034)CaDiCaL version: 2.1.3
% 37.53/5.89  % (509034)Termination reason: Instruction limit
% 37.53/5.89  % (509034)Termination phase: Saturation
% 37.53/5.89  % (509034)Time elapsed: 0.231 s
% 37.53/5.89  % (509034)Peak memory usage: 12 MB
% 37.53/5.89  % (509034)Instructions burned: 302 (million)
% 37.53/5.89  % (509038)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3745928526:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2952 on theBenchmark for (2952ds/715Mi)
% 37.53/5.89  % (509038)Refutation not found, incomplete strategy
% 37.53/5.89  % (509038)------------------------------
% 37.53/5.89  % (509038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.53/5.89  % (509038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/5.89  % (509038)CaDiCaL version: 2.1.3
% 37.53/5.89  % (509038)Termination reason: Refutation not found, incomplete strategy
% 37.53/5.89  % (509038)Time elapsed: 0.002 s
% 37.53/5.89  % (509038)Peak memory usage: 11 MB
% 37.53/5.89  % (509038)Instructions burned: 2 (million)
% 37.53/5.89  % (509038)------------------------------
% 37.53/5.89  % (509038)------------------------------
% 37.53/5.89  % (509039)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 37.53/5.89  % (509039)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 37.53/5.89  % (509039)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=1827530582:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2952 on theBenchmark for (2952ds/230Mi)
% 37.53/5.89  % (509039)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 37.53/5.89  % (509041)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1413641467:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2952 on theBenchmark for (2952ds/606Mi)
% 37.53/5.89  % (509036)Instruction limit reached! 
% 37.53/5.89  % (509036)------------------------------
% 37.53/5.89  % (509036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.53/5.89  % (509036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/5.89  % (509036)CaDiCaL version: 2.1.3
% 37.53/5.89  % (509036)Termination reason: Instruction limit
% 37.53/5.89  % (509036)Termination phase: Saturation
% 37.53/5.89  % (509036)Time elapsed: 0.145 s
% 37.53/5.89  % (509036)Peak memory usage: 13 MB
% 37.53/5.89  % (509036)Instructions burned: 177 (million)
% 37.53/5.89  % (509044)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 37.53/5.89  % (509044)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3945028920:lrd=on:i=841:nm=0:rtra=on_2951 on theBenchmark for (2951ds/841Mi)
% 37.53/5.89  % (509030)Instruction limit reached! 
% 37.53/5.89  % (509030)------------------------------
% 37.53/5.89  % (509030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.53/5.89  % (509030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/5.89  % (509030)CaDiCaL version: 2.1.3
% 37.53/5.89  % (509030)Termination reason: Instruction limit
% 37.53/5.89  % (509030)Termination phase: Saturation
% 37.53/5.89  % (509030)Time elapsed: 0.593 s
% 37.53/5.89  % (509030)Peak memory usage: 13 MB
% 37.53/5.89  % (509030)Instructions burned: 823 (million)
% 37.53/5.89  % (509046)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1529710120:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2950 on theBenchmark for (2950ds/445Mi)
% 37.53/5.89  % (509039)Instruction limit reached! 
% 37.53/5.89  % (509039)------------------------------
% 37.53/5.89  % (509039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.53/5.89  % (509039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/5.89  % (509039)CaDiCaL version: 2.1.3
% 37.53/5.89  % (509039)Termination reason: Instruction limit
% 37.53/5.89  % (509039)Termination phase: Saturation
% 37.53/5.89  % (509039)Time elapsed: 0.185 s
% 37.53/5.89  % (509039)Peak memory usage: 12 MB
% 37.53/5.89  % (509039)Instructions burned: 231 (million)
% 37.53/5.89  % (509048)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=690862267:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2950 on theBenchmark for (2950ds/71Mi)
% 38.55/6.00  % (509048)Instruction limit reached! 
% 38.55/6.00  % (509048)------------------------------
% 38.55/6.00  % (509048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.55/6.00  % (509048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.55/6.00  % (509048)CaDiCaL version: 2.1.3
% 38.55/6.00  % (509048)Termination reason: Instruction limit
% 38.55/6.00  % (509048)Termination phase: Saturation
% 38.55/6.00  % (509048)Time elapsed: 0.062 s
% 38.55/6.00  % (509048)Peak memory usage: 12 MB
% 38.55/6.00  % (509048)Instructions burned: 72 (million)
% 38.55/6.00  % (509050)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
% 38.55/6.00  % (509050)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 38.55/6.00  % (509050)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=896681536:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2949 on theBenchmark for (2949ds/100Mi)
% 38.55/6.00  % (509050)Instruction limit reached! 
% 38.55/6.00  % (509050)------------------------------
% 38.55/6.00  % (509050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.55/6.00  % (509050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.55/6.00  % (509050)CaDiCaL version: 2.1.3
% 38.55/6.00  % (509050)Termination reason: Instruction limit
% 38.55/6.00  % (509050)Termination phase: Saturation
% 38.55/6.00  % (509050)Time elapsed: 0.074 s
% 38.55/6.00  % (509050)Peak memory usage: 12 MB
% 38.55/6.00  % (509050)Instructions burned: 101 (million)
% 38.55/6.00  % (509052)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 38.55/6.00  % (509052)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=891951779:i=1352:add=on:aac=none:rtra=on_2948 on theBenchmark for (2948ds/1352Mi)
% 38.55/6.00  % (509052)Refutation not found, incomplete strategy
% 38.55/6.00  % (509052)------------------------------
% 38.55/6.00  % (509052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.55/6.00  % (509052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.55/6.00  % (509052)CaDiCaL version: 2.1.3
% 38.55/6.00  % (509052)Termination reason: Refutation not found, incomplete strategy
% 38.55/6.00  % (509052)Time elapsed: 0.004 s
% 38.55/6.00  % (509052)Peak memory usage: 12 MB
% 38.55/6.00  % (509052)Instructions burned: 3 (million)
% 38.55/6.00  % (509052)------------------------------
% 38.55/6.00  % (509052)------------------------------
% 38.55/6.00  % (509054)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=4277269799:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2947 on theBenchmark for (2947ds/646Mi)
% 38.55/6.00  % (509041)Instruction limit reached! 
% 38.55/6.00  % (509041)------------------------------
% 38.55/6.00  % (509041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.55/6.00  % (509041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.55/6.00  % (509041)CaDiCaL version: 2.1.3
% 38.55/6.00  % (509041)Termination reason: Instruction limit
% 38.55/6.00  % (509041)Termination phase: Saturation
% 38.55/6.00  % (509041)Time elapsed: 0.469 s
% 38.55/6.00  % (509041)Peak memory usage: 12 MB
% 38.55/6.00  % (509041)Instructions burned: 606 (million)
% 38.55/6.00  % (509056)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1235847182:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2947 on theBenchmark for (2947ds/1924Mi)
% 38.55/6.00  % (509056)Refutation not found, incomplete strategy
% 38.55/6.00  % (509056)------------------------------
% 38.55/6.00  % (509056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.55/6.00  % (509056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.55/6.00  % (509056)CaDiCaL version: 2.1.3
% 38.55/6.00  % (509056)Termination reason: Refutation not found, incomplete strategy
% 38.55/6.00  % (509056)Time elapsed: 0.001 s
% 38.55/6.00  % (509056)Peak memory usage: 11 MB
% 38.55/6.00  % (509056)Instructions burned: 1 (million)
% 38.55/6.00  % (509056)------------------------------
% 41.02/6.28  % (509056)------------------------------
% 41.02/6.28  % (509046)Instruction limit reached! 
% 41.02/6.28  % (509046)------------------------------
% 41.02/6.28  % (509046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.02/6.28  % (509046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.28  % (509046)CaDiCaL version: 2.1.3
% 41.02/6.28  % (509046)Termination reason: Instruction limit
% 41.02/6.28  % (509046)Termination phase: Saturation
% 41.02/6.28  % (509046)Time elapsed: 0.365 s
% 41.02/6.28  % (509046)Peak memory usage: 14 MB
% 41.02/6.28  % (509046)Instructions burned: 445 (million)
% 41.02/6.28  % (509058)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3200838700:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2946 on theBenchmark for (2946ds/984Mi)
% 41.02/6.28  % (509058)Refutation not found, incomplete strategy
% 41.02/6.28  % (509058)------------------------------
% 41.02/6.28  % (509058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.02/6.28  % (509058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.28  % (509058)CaDiCaL version: 2.1.3
% 41.02/6.28  % (509058)Termination reason: Refutation not found, incomplete strategy
% 41.02/6.28  % (509058)Time elapsed: 0.003 s
% 41.02/6.28  % (509058)Peak memory usage: 12 MB
% 41.02/6.28  % (509058)Instructions burned: 2 (million)
% 41.02/6.28  % (509058)------------------------------
% 41.02/6.28  % (509058)------------------------------
% 41.02/6.28  % (509059)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=2370017786:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2946 on theBenchmark for (2946ds/592Mi)
% 41.02/6.28  % (509061)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1055455480:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2946 on theBenchmark for (2946ds/872Mi)
% 41.02/6.28  % (509061)Refutation not found, incomplete strategy
% 41.02/6.28  % (509061)------------------------------
% 41.02/6.28  % (509061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.02/6.28  % (509061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.28  % (509061)CaDiCaL version: 2.1.3
% 41.02/6.28  % (509061)Termination reason: Refutation not found, incomplete strategy
% 41.02/6.28  % (509061)Time elapsed: 0.001 s
% 41.02/6.28  % (509061)Peak memory usage: 11 MB
% 41.02/6.28  % (509061)Instructions burned: 1 (million)
% 41.02/6.28  % (509061)------------------------------
% 41.02/6.28  % (509061)------------------------------
% 41.02/6.28  % (509064)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 41.02/6.28  % (509064)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=4003265431:i=999:add=on:rtra=on_2946 on theBenchmark for (2946ds/999Mi)
% 41.02/6.28  % (509044)Instruction limit reached! 
% 41.02/6.28  % (509044)------------------------------
% 41.02/6.28  % (509044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.02/6.28  % (509044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.28  % (509044)CaDiCaL version: 2.1.3
% 41.02/6.28  % (509044)Termination reason: Instruction limit
% 41.02/6.28  % (509044)Termination phase: Saturation
% 41.02/6.28  % (509044)Time elapsed: 0.637 s
% 41.02/6.28  % (509044)Peak memory usage: 13 MB
% 41.02/6.28  % (509044)Instructions burned: 841 (million)
% 41.02/6.28  % (509066)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 41.02/6.28  % (509066)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=4096168084:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2944 on theBenchmark for (2944ds/244Mi)
% 41.02/6.28  % (509066)Refutation not found, incomplete strategy
% 41.02/6.28  % (509066)------------------------------
% 41.02/6.28  % (509066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.02/6.28  % (509066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.28  % (509066)CaDiCaL version: 2.1.3
% 41.02/6.28  % (509066)Termination reason: Refutation not found, incomplete strategy
% 41.02/6.28  % (509066)Time elapsed: 0.004 s
% 41.02/6.28  % (509066)Peak memory usage: 11 MB
% 41.02/6.28  % (509066)Instructions burned: 3 (million)
% 41.02/6.28  % (509066)------------------------------
% 42.17/6.42  % (509066)------------------------------
% 42.17/6.42  % (509068)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3038368405:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2944 on theBenchmark for (2944ds/113Mi)
% 42.17/6.42  % (509068)Refutation not found, incomplete strategy
% 42.17/6.42  % (509068)------------------------------
% 42.17/6.42  % (509068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.17/6.42  % (509068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.17/6.42  % (509068)CaDiCaL version: 2.1.3
% 42.17/6.42  % (509068)Termination reason: Refutation not found, incomplete strategy
% 42.17/6.42  % (509068)Time elapsed: 0.003 s
% 42.17/6.42  % (509068)Peak memory usage: 12 MB
% 42.17/6.42  % (509068)Instructions burned: 2 (million)
% 42.17/6.42  % (509068)------------------------------
% 42.17/6.42  % (509068)------------------------------
% 42.17/6.42  % (509054)Instruction limit reached! 
% 42.17/6.42  % (509054)------------------------------
% 42.17/6.42  % (509054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.17/6.42  % (509054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.17/6.42  % (509054)CaDiCaL version: 2.1.3
% 42.17/6.42  % (509054)Termination reason: Instruction limit
% 42.17/6.42  % (509054)Termination phase: Saturation
% 42.17/6.42  % (509054)Time elapsed: 0.340 s
% 42.17/6.42  % (509054)Peak memory usage: 13 MB
% 42.17/6.42  % (509054)Instructions burned: 647 (million)
% 42.17/6.42  % (509070)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2579318287:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2944 on theBenchmark for (2944ds/7795Mi)
% 42.17/6.42  % (509070)Refutation not found, incomplete strategy
% 42.17/6.42  % (509070)------------------------------
% 42.17/6.42  % (509070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.17/6.42  % (509070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.17/6.42  % (509070)CaDiCaL version: 2.1.3
% 42.17/6.42  % (509070)Termination reason: Refutation not found, incomplete strategy
% 42.17/6.42  % (509070)Time elapsed: 0.001 s
% 42.17/6.42  % (509070)Peak memory usage: 11 MB
% 42.17/6.42  % (509070)Instructions burned: 1 (million)
% 42.17/6.42  % (509070)------------------------------
% 42.17/6.42  % (509070)------------------------------
% 42.17/6.42  % (509071)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=362913104:st=2:i=5026:sd=1:rtra=on:ss=axioms_2944 on theBenchmark for (2944ds/5026Mi)
% 42.17/6.42  % (509071)Refutation not found, incomplete strategy
% 42.17/6.42  % (509071)------------------------------
% 42.17/6.42  % (509071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.17/6.42  % (509071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.17/6.42  % (509071)CaDiCaL version: 2.1.3
% 42.17/6.42  % (509071)Termination reason: Refutation not found, incomplete strategy
% 42.17/6.42  % (509071)Time elapsed: 0.001 s
% 42.17/6.42  % (509071)Peak memory usage: 11 MB
% 42.17/6.42  % (509071)Instructions burned: 1 (million)
% 42.17/6.42  % (509071)------------------------------
% 42.17/6.42  % (509071)------------------------------
% 42.17/6.42  % (509073)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 42.17/6.42  % (509073)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1706541449:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2943 on theBenchmark for (2943ds/763Mi)
% 42.17/6.42  % (509073)Refutation not found, incomplete strategy
% 42.17/6.42  % (509073)------------------------------
% 42.17/6.42  % (509073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.17/6.42  % (509073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.17/6.42  % (509073)CaDiCaL version: 2.1.3
% 42.17/6.42  % (509073)Termination reason: Refutation not found, incomplete strategy
% 42.17/6.42  % (509073)Time elapsed: 0.002 s
% 42.17/6.42  % (509073)Peak memory usage: 11 MB
% 42.17/6.42  % (509073)Instructions burned: 1 (million)
% 42.17/6.42  % (509073)------------------------------
% 42.17/6.42  % (509073)------------------------------
% 42.17/6.42  % (509075)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=225215760:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2943 on theBenchmark for (2943ds/1144Mi)
% 42.17/6.42  % (509075)Refutation not found, incomplete strategy
% 42.17/6.42  % (509075)------------------------------
% 42.17/6.42  % (509075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.03/6.73  % (509075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.03/6.73  % (509075)CaDiCaL version: 2.1.3
% 43.03/6.73  % (509075)Termination reason: Refutation not found, incomplete strategy
% 43.03/6.73  % (509075)Time elapsed: 0.001 s
% 43.03/6.73  % (509075)Peak memory usage: 11 MB
% 43.03/6.73  % (509075)Instructions burned: 1 (million)
% 43.03/6.73  % (509075)------------------------------
% 43.03/6.73  % (509075)------------------------------
% 43.03/6.73  % (509078)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 43.03/6.73  % (509078)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=200565018:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2943 on theBenchmark for (2943ds/52Mi)
% 43.03/6.73  % (509079)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=1915207962:i=1724:fsr=off:rtra=on:fe=abstraction_2943 on theBenchmark for (2943ds/1724Mi)
% 43.03/6.73  % (509078)Instruction limit reached! 
% 43.03/6.73  % (509078)------------------------------
% 43.03/6.73  % (509078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.03/6.73  % (509078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.03/6.73  % (509078)CaDiCaL version: 2.1.3
% 43.03/6.73  % (509078)Termination reason: Instruction limit
% 43.03/6.73  % (509078)Termination phase: Saturation
% 43.03/6.73  % (509078)Time elapsed: 0.035 s
% 43.03/6.73  % (509078)Peak memory usage: 12 MB
% 43.03/6.73  % (509078)Instructions burned: 52 (million)
% 43.03/6.73  % (509082)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=3549508739:i=439:add=on:slsql=off:rtra=on:ntd=on_2942 on theBenchmark for (2942ds/439Mi)
% 43.03/6.73  % (509059)Instruction limit reached! 
% 43.03/6.73  % (509059)------------------------------
% 43.03/6.73  % (509059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.03/6.73  % (509059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.03/6.73  % (509059)CaDiCaL version: 2.1.3
% 43.03/6.73  % (509059)Termination reason: Instruction limit
% 43.03/6.73  % (509059)Termination phase: Saturation
% 43.03/6.73  % (509059)Time elapsed: 0.458 s
% 43.03/6.73  % (509059)Peak memory usage: 12 MB
% 43.03/6.73  % (509059)Instructions burned: 593 (million)
% 43.03/6.73  % (509084)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2801640116:i=6395:sd=1:rtra=on:ss=axioms_2941 on theBenchmark for (2941ds/6395Mi)
% 43.03/6.73  % (509084)Refutation not found, incomplete strategy
% 43.03/6.73  % (509084)------------------------------
% 43.03/6.73  % (509084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.03/6.73  % (509084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.03/6.73  % (509084)CaDiCaL version: 2.1.3
% 43.03/6.73  % (509084)Termination reason: Refutation not found, incomplete strategy
% 43.03/6.73  % (509084)Time elapsed: 0.001 s
% 43.03/6.73  % (509084)Peak memory usage: 11 MB
% 43.03/6.73  % (509084)Instructions burned: 1 (million)
% 43.03/6.73  % (509084)------------------------------
% 43.03/6.73  % (509084)------------------------------
% 43.03/6.73  % (509086)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 43.03/6.73  % (509086)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3703950360:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2941 on theBenchmark for (2941ds/6762Mi)
% 43.03/6.73  % (509086)Refutation not found, incomplete strategy
% 43.03/6.73  % (509086)------------------------------
% 43.03/6.73  % (509086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.03/6.73  % (509086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.03/6.73  % (509086)CaDiCaL version: 2.1.3
% 43.03/6.73  % (509086)Termination reason: Refutation not found, incomplete strategy
% 43.03/6.73  % (509086)Time elapsed: 0.001 s
% 43.03/6.73  % (509086)Peak memory usage: 11 MB
% 43.03/6.73  % (509086)Instructions burned: 1 (million)
% 43.03/6.73  % (509086)------------------------------
% 43.03/6.73  % (509086)------------------------------
% 43.03/6.73  % (509088)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 43.03/6.73  % (509088)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=2410359585:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2941 on theBenchmark for (2941ds/376Mi)
% 48.16/7.17  % (508981)Instruction limit reached! 
% 48.16/7.17  % (508981)------------------------------
% 48.16/7.17  % (508981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.16/7.17  % (508981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.17  % (508981)CaDiCaL version: 2.1.3
% 48.16/7.17  % (508981)Termination reason: Instruction limit
% 48.16/7.17  % (508981)Termination phase: Saturation
% 48.16/7.17  % (508981)Time elapsed: 2.825 s
% 48.16/7.17  % (508981)Peak memory usage: 21 MB
% 48.16/7.17  % (508981)Instructions burned: 6359 (million)
% 48.16/7.17  % (509082)Instruction limit reached! 
% 48.16/7.17  % (509082)------------------------------
% 48.16/7.17  % (509082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.16/7.17  % (509082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.17  % (509082)CaDiCaL version: 2.1.3
% 48.16/7.17  % (509082)Termination reason: Instruction limit
% 48.16/7.17  % (509082)Termination phase: Saturation
% 48.16/7.17  % (509082)Time elapsed: 0.243 s
% 48.16/7.17  % (509082)Peak memory usage: 13 MB
% 48.16/7.17  % (509082)Instructions burned: 441 (million)
% 48.16/7.17  % (509090)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=3746482445:i=965:bd=all:ins=4:rtra=on_2940 on theBenchmark for (2940ds/965Mi)
% 48.16/7.17  % (509091)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4104511462:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2940 on theBenchmark for (2940ds/5013Mi)
% 48.16/7.17  % (509091)Refutation not found, incomplete strategy
% 48.16/7.17  % (509091)------------------------------
% 48.16/7.17  % (509091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.16/7.17  % (509091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.17  % (509091)CaDiCaL version: 2.1.3
% 48.16/7.17  % (509091)Termination reason: Refutation not found, incomplete strategy
% 48.16/7.17  % (509091)Time elapsed: 0.001 s
% 48.16/7.17  % (509091)Peak memory usage: 11 MB
% 48.16/7.17  % (509091)Instructions burned: 1 (million)
% 48.16/7.17  % (509091)------------------------------
% 48.16/7.17  % (509091)------------------------------
% 48.16/7.17  % (508831)Instruction limit reached! 
% 48.16/7.17  % (508831)------------------------------
% 48.16/7.17  % (508831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.16/7.17  % (508831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.17  % (508831)CaDiCaL version: 2.1.3
% 48.16/7.17  % (508831)Termination reason: Instruction limit
% 48.16/7.17  % (508831)Termination phase: Saturation
% 48.16/7.17  % (508831)Time elapsed: 5.043 s
% 48.16/7.17  % (508831)Peak memory usage: 15 MB
% 48.16/7.17  % (508831)Instructions burned: 9842 (million)
% 48.16/7.17  % (509094)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=2260482957:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2939 on theBenchmark for (2939ds/1583Mi)
% 48.16/7.17  % (509095)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 48.16/7.17  % (509095)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 48.16/7.17  % (509095)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
% 48.16/7.17  % (509095)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 48.16/7.17  % (509095)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=2496091556: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_2939 on theBenchmark for (2939ds/1774Mi)
% 48.16/7.17  % (509095)Refutation not found, incomplete strategy
% 48.16/7.17  % (509095)------------------------------
% 48.16/7.17  % (509095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.16/7.17  % (509095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.17  % (509095)CaDiCaL version: 2.1.3
% 48.16/7.17  % (509095)Termination reason: Refutation not found, incomplete strategy
% 48.16/7.17  % (509095)Time elapsed: 0.001 s
% 49.63/7.46  % (509095)Peak memory usage: 11 MB
% 49.63/7.46  % (509095)Instructions burned: 1 (million)
% 49.63/7.46  % (509095)------------------------------
% 49.63/7.46  % (509095)------------------------------
% 49.63/7.46  % (509098)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=4242147798:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2939 on theBenchmark for (2939ds/515Mi)
% 49.63/7.46  % (509098)Refutation not found, incomplete strategy
% 49.63/7.46  % (509098)------------------------------
% 49.63/7.46  % (509098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.63/7.46  % (509098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.63/7.46  % (509098)CaDiCaL version: 2.1.3
% 49.63/7.46  % (509098)Termination reason: Refutation not found, incomplete strategy
% 49.63/7.46  % (509098)Time elapsed: 0.002 s
% 49.63/7.46  % (509098)Peak memory usage: 12 MB
% 49.63/7.46  % (509098)Instructions burned: 1 (million)
% 49.63/7.46  % (509098)------------------------------
% 49.63/7.46  % (509098)------------------------------
% 49.63/7.46  % (509064)Instruction limit reached! 
% 49.63/7.46  % (509064)------------------------------
% 49.63/7.46  % (509064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.63/7.46  % (509064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.63/7.46  % (509064)CaDiCaL version: 2.1.3
% 49.63/7.46  % (509064)Termination reason: Instruction limit
% 49.63/7.46  % (509064)Termination phase: Saturation
% 49.63/7.46  % (509064)Time elapsed: 0.709 s
% 49.63/7.46  % (509064)Peak memory usage: 14 MB
% 49.63/7.46  % (509064)Instructions burned: 999 (million)
% 49.63/7.46  % (509100)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
% 49.63/7.46  % (509100)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=1478933181:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2938 on theBenchmark for (2938ds/1297Mi)
% 49.63/7.46  % (509101)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=2503532510:s2a=on:i=611:rtra=on:gsp=on_2938 on theBenchmark for (2938ds/611Mi)
% 49.63/7.46  % (509101)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 49.63/7.46  % (509088)Instruction limit reached! 
% 49.63/7.46  % (509088)------------------------------
% 49.63/7.46  % (509088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.63/7.46  % (509088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.63/7.46  % (509088)CaDiCaL version: 2.1.3
% 49.63/7.46  % (509088)Termination reason: Instruction limit
% 49.63/7.46  % (509088)Termination phase: Saturation
% 49.63/7.46  % (509088)Time elapsed: 0.323 s
% 49.63/7.46  % (509088)Peak memory usage: 14 MB
% 49.63/7.46  % (509088)Instructions burned: 377 (million)
% 49.63/7.46  % (509104)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 49.63/7.46  % (509104)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3284376911:i=72:bd=all:rtra=on_2937 on theBenchmark for (2937ds/72Mi)
% 49.63/7.46  % (509104)Refutation not found, incomplete strategy
% 49.63/7.46  % (509104)------------------------------
% 49.63/7.46  % (509104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.63/7.46  % (509104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.63/7.46  % (509104)CaDiCaL version: 2.1.3
% 49.63/7.46  % (509104)Termination reason: Refutation not found, incomplete strategy
% 49.63/7.46  % (509104)Time elapsed: 0.003 s
% 49.63/7.46  % (509104)Peak memory usage: 12 MB
% 49.63/7.46  % (509104)Instructions burned: 2 (million)
% 49.63/7.46  % (509104)------------------------------
% 49.63/7.46  % (509104)------------------------------
% 49.63/7.46  % (509106)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=1337891833:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2937 on theBenchmark for (2937ds/6580Mi)
% 49.63/7.46  % (509090)Instruction limit reached! 
% 49.63/7.46  % (509090)------------------------------
% 49.63/7.46  % (509090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.63/7.46  % (509090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.48/7.84  % (509090)CaDiCaL version: 2.1.3
% 51.48/7.84  % (509090)Termination reason: Instruction limit
% 51.48/7.84  % (509090)Termination phase: Saturation
% 51.48/7.84  % (509090)Time elapsed: 0.371 s
% 51.48/7.84  % (509090)Peak memory usage: 16 MB
% 51.48/7.84  % (509090)Instructions burned: 968 (million)
% 51.48/7.84  % (509108)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1070568997:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2936 on theBenchmark for (2936ds/6209Mi)
% 51.48/7.84  % (509108)Refutation not found, incomplete strategy
% 51.48/7.84  % (509108)------------------------------
% 51.48/7.84  % (509108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.48/7.84  % (509108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.48/7.84  % (509108)CaDiCaL version: 2.1.3
% 51.48/7.84  % (509108)Termination reason: Refutation not found, incomplete strategy
% 51.48/7.84  % (509108)Time elapsed: 0.001 s
% 51.48/7.84  % (509108)Peak memory usage: 11 MB
% 51.48/7.84  % (509108)Instructions burned: 1 (million)
% 51.48/7.84  % (509108)------------------------------
% 51.48/7.84  % (509108)------------------------------
% 51.48/7.84  % (509110)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=3997958360:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2935 on theBenchmark for (2935ds/1003Mi)
% 51.48/7.84  % (509101)Instruction limit reached! 
% 51.48/7.84  % (509101)------------------------------
% 51.48/7.84  % (509101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.48/7.84  % (509101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.48/7.84  % (509101)CaDiCaL version: 2.1.3
% 51.48/7.84  % (509101)Termination reason: Instruction limit
% 51.48/7.84  % (509101)Termination phase: Saturation
% 51.48/7.84  % (509101)Time elapsed: 0.467 s
% 51.48/7.84  % (509101)Peak memory usage: 13 MB
% 51.48/7.84  % (509101)Instructions burned: 611 (million)
% 51.48/7.84  % (509112)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 51.48/7.84  % (509112)ott+1002_16_sil=128000:si=on:random_seed=1774718048:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2933 on theBenchmark for (2933ds/409Mi)
% 51.48/7.84  % (509110)Instruction limit reached! 
% 51.48/7.84  % (509110)------------------------------
% 51.48/7.84  % (509110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.48/7.84  % (509110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.48/7.84  % (509110)CaDiCaL version: 2.1.3
% 51.48/7.84  % (509110)Termination reason: Instruction limit
% 51.48/7.84  % (509110)Termination phase: Saturation
% 51.48/7.84  % (509110)Time elapsed: 0.364 s
% 51.48/7.84  % (509110)Peak memory usage: 13 MB
% 51.48/7.84  % (509110)Instructions burned: 1004 (million)
% 51.48/7.84  % (509114)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=502186884:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2932 on theBenchmark for (2932ds/403Mi)
% 51.48/7.84  % (509114)Refutation not found, incomplete strategy
% 51.48/7.84  % (509114)------------------------------
% 51.48/7.84  % (509114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.48/7.84  % (509114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.48/7.84  % (509114)CaDiCaL version: 2.1.3
% 51.48/7.84  % (509114)Termination reason: Refutation not found, incomplete strategy
% 51.48/7.84  % (509114)Time elapsed: 0.001 s
% 51.48/7.84  % (509114)Peak memory usage: 11 MB
% 51.48/7.84  % (509114)Instructions burned: 1 (million)
% 51.48/7.84  % (509114)------------------------------
% 51.48/7.84  % (509114)------------------------------
% 51.48/7.84  % (509116)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=3165406677:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2931 on theBenchmark for (2931ds/6843Mi)
% 51.48/7.84  % (509116)Refutation not found, incomplete strategy
% 51.48/7.84  % (509116)------------------------------
% 51.48/7.84  % (509116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.48/7.84  % (509116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.48/7.84  % (509116)CaDiCaL version: 2.1.3
% 51.48/7.84  % (509116)Termination reason: Refutation not found, incomplete strategy
% 51.48/7.84  % (509116)Time elapsed: 0.001 s
% 51.48/7.84  % (509116)Peak memory usage: 11 MB
% 51.48/7.84  % (509116)Instructions burned: 1 (million)
% 51.48/7.84  % (509116)------------------------------
% 54.51/8.08  % (509116)------------------------------
% 54.51/8.08  % (509118)lrs+10_2:1_si=on:random_seed=96201761:s2a=on:i=506:rtra=on:fe=abstraction_2931 on theBenchmark for (2931ds/506Mi)
% 54.51/8.08  % (509112)Instruction limit reached! 
% 54.51/8.08  % (509112)------------------------------
% 54.51/8.08  % (509112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.51/8.08  % (509112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.51/8.08  % (509112)CaDiCaL version: 2.1.3
% 54.51/8.08  % (509112)Termination reason: Instruction limit
% 54.51/8.08  % (509112)Termination phase: Saturation
% 54.51/8.08  % (509112)Time elapsed: 0.256 s
% 54.51/8.08  % (509112)Peak memory usage: 13 MB
% 54.51/8.08  % (509112)Instructions burned: 410 (million)
% 54.51/8.08  % (509079)Instruction limit reached! 
% 54.51/8.08  % (509079)------------------------------
% 54.51/8.08  % (509079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.51/8.08  % (509079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.51/8.08  % (509079)CaDiCaL version: 2.1.3
% 54.51/8.08  % (509079)Termination reason: Instruction limit
% 54.51/8.08  % (509079)Termination phase: Saturation
% 54.51/8.08  % (509079)Time elapsed: 1.230 s
% 54.51/8.08  % (509079)Peak memory usage: 13 MB
% 54.51/8.08  % (509079)Instructions burned: 1725 (million)
% 54.51/8.08  % (509121)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 54.51/8.08  % (509120)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=750772813:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2930 on theBenchmark for (2930ds/888Mi)
% 54.51/8.08  % (509121)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=631194362:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2930 on theBenchmark for (2930ds/416Mi)
% 54.51/8.08  % (509118)Instruction limit reached! 
% 54.51/8.08  % (509118)------------------------------
% 54.51/8.08  % (509118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.51/8.08  % (509118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.51/8.08  % (509118)CaDiCaL version: 2.1.3
% 54.51/8.08  % (509118)Termination reason: Instruction limit
% 54.51/8.08  % (509118)Termination phase: Saturation
% 54.51/8.08  % (509118)Time elapsed: 0.203 s
% 54.51/8.08  % (509118)Peak memory usage: 12 MB
% 54.51/8.08  % (509118)Instructions burned: 507 (million)
% 54.51/8.08  % (509124)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=914956993: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_2929 on theBenchmark for (2929ds/13534Mi)
% 54.51/8.08  % (509124)Refutation not found, incomplete strategy
% 54.51/8.08  % (509124)------------------------------
% 54.51/8.08  % (509124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.51/8.08  % (509124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.51/8.08  % (509124)CaDiCaL version: 2.1.3
% 54.51/8.08  % (509124)Termination reason: Refutation not found, incomplete strategy
% 54.51/8.08  % (509124)Time elapsed: 0.001 s
% 54.51/8.08  % (509124)Peak memory usage: 11 MB
% 54.51/8.08  % (509124)Instructions burned: 1 (million)
% 54.51/8.08  % (509124)------------------------------
% 54.51/8.08  % (509124)------------------------------
% 54.51/8.08  % (509126)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 54.51/8.08  % (509126)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=1037060752:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2929 on theBenchmark for (2929ds/206Mi)
% 54.51/8.08  % (509100)Instruction limit reached! 
% 54.51/8.08  % (509100)------------------------------
% 54.51/8.08  % (509100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.51/8.08  % (509100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.51/8.08  % (509100)CaDiCaL version: 2.1.3
% 54.51/8.08  % (509100)Termination reason: Instruction limit
% 54.51/8.08  % (509100)Termination phase: Saturation
% 54.51/8.08  % (509100)Time elapsed: 0.966 s
% 54.51/8.08  % (509100)Peak memory usage: 13 MB
% 54.51/8.08  % (509100)Instructions burned: 1297 (million)
% 58.20/8.79  % (509128)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=1533008953:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2928 on theBenchmark for (2928ds/2295Mi)
% 58.20/8.79  % (509126)Instruction limit reached! 
% 58.20/8.79  % (509126)------------------------------
% 58.20/8.79  % (509126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.20/8.79  % (509126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.20/8.79  % (509126)CaDiCaL version: 2.1.3
% 58.20/8.79  % (509126)Termination reason: Instruction limit
% 58.20/8.79  % (509126)Termination phase: Saturation
% 58.20/8.79  % (509126)Time elapsed: 0.081 s
% 58.20/8.79  % (509126)Peak memory usage: 12 MB
% 58.20/8.79  % (509126)Instructions burned: 207 (million)
% 58.20/8.79  % (509130)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=3948867230:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2928 on theBenchmark for (2928ds/637Mi)
% 58.20/8.79  % (509094)Instruction limit reached! 
% 58.20/8.79  % (509094)------------------------------
% 58.20/8.79  % (509094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.20/8.79  % (509094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.20/8.79  % (509094)CaDiCaL version: 2.1.3
% 58.20/8.79  % (509094)Termination reason: Instruction limit
% 58.20/8.79  % (509094)Termination phase: Saturation
% 58.20/8.79  % (509094)Time elapsed: 1.175 s
% 58.20/8.79  % (509094)Peak memory usage: 13 MB
% 58.20/8.79  % (509094)Instructions burned: 1583 (million)
% 58.20/8.79  % (509132)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1296479118:hsq=on:i=667:rtra=on:ixr=off_2927 on theBenchmark for (2927ds/667Mi)
% 58.20/8.79  % (509121)Instruction limit reached! 
% 58.20/8.79  % (509121)------------------------------
% 58.20/8.79  % (509121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.20/8.79  % (509121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.20/8.79  % (509121)CaDiCaL version: 2.1.3
% 58.20/8.79  % (509121)Termination reason: Instruction limit
% 58.20/8.79  % (509121)Termination phase: Saturation
% 58.20/8.79  % (509121)Time elapsed: 0.339 s
% 58.20/8.79  % (509121)Peak memory usage: 13 MB
% 58.20/8.79  % (509121)Instructions burned: 417 (million)
% 58.20/8.79  % (509134)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=578469941:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2927 on theBenchmark for (2927ds/1801Mi)
% 58.20/8.79  % (509015)Instruction limit reached! 
% 58.20/8.79  % (509015)------------------------------
% 58.20/8.79  % (509015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.20/8.79  % (509015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.20/8.79  % (509015)CaDiCaL version: 2.1.3
% 58.20/8.79  % (509015)Termination reason: Instruction limit
% 58.20/8.79  % (509015)Termination phase: Saturation
% 58.20/8.79  % (509015)Time elapsed: 3.374 s
% 58.20/8.79  % (509015)Peak memory usage: 16 MB
% 58.20/8.79  % (509015)Instructions burned: 4386 (million)
% 58.20/8.79  % (509130)Instruction limit reached! 
% 58.20/8.79  % (509130)------------------------------
% 58.20/8.79  % (509130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.20/8.79  % (509130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.20/8.79  % (509130)CaDiCaL version: 2.1.3
% 58.20/8.79  % (509130)Termination reason: Instruction limit
% 58.20/8.79  % (509130)Termination phase: Saturation
% 58.20/8.79  % (509130)Time elapsed: 0.266 s
% 58.20/8.79  % (509130)Peak memory usage: 14 MB
% 58.20/8.79  % (509130)Instructions burned: 637 (million)
% 58.20/8.79  % (509136)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=1288708581:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2925 on theBenchmark for (2925ds/555Mi)
% 58.20/8.79  % (509137)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=187118621:i=88:s2at=3:nm=2:rtra=on:rawr=on_2925 on theBenchmark for (2925ds/88Mi)
% 58.20/8.79  % (509137)Instruction limit reached! 
% 58.20/8.79  % (509137)------------------------------
% 58.20/8.79  % (509137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.20/8.79  % (509137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.20/8.79  % (509137)CaDiCaL version: 2.1.3
% 62.62/9.27  % (509137)Termination reason: Instruction limit
% 62.62/9.27  % (509137)Termination phase: Saturation
% 62.62/9.27  % (509137)Time elapsed: 0.034 s
% 62.62/9.27  % (509137)Peak memory usage: 13 MB
% 62.62/9.27  % (509137)Instructions burned: 89 (million)
% 62.62/9.27  % (509140)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2881715497:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2925 on theBenchmark for (2925ds/280Mi)
% 62.62/9.27  % (509120)Instruction limit reached! 
% 62.62/9.27  % (509120)------------------------------
% 62.62/9.27  % (509120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.62/9.27  % (509120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.62/9.27  % (509120)CaDiCaL version: 2.1.3
% 62.62/9.27  % (509120)Termination reason: Instruction limit
% 62.62/9.27  % (509120)Termination phase: Saturation
% 62.62/9.27  % (509120)Time elapsed: 0.673 s
% 62.62/9.27  % (509120)Peak memory usage: 13 MB
% 62.62/9.27  % (509120)Instructions burned: 889 (million)
% 62.62/9.27  % (509140)Instruction limit reached! 
% 62.62/9.27  % (509140)------------------------------
% 62.62/9.27  % (509140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.62/9.27  % (509140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.62/9.27  % (509140)CaDiCaL version: 2.1.3
% 62.62/9.27  % (509140)Termination reason: Instruction limit
% 62.62/9.27  % (509140)Termination phase: Saturation
% 62.62/9.27  % (509140)Time elapsed: 0.114 s
% 62.62/9.27  % (509140)Peak memory usage: 12 MB
% 62.62/9.27  % (509140)Instructions burned: 282 (million)
% 62.62/9.27  % (509143)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 62.62/9.27  % (509143)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=685718601:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2923 on theBenchmark for (2923ds/4201Mi)
% 62.62/9.27  % (509143)Refutation not found, incomplete strategy
% 62.62/9.27  % (509143)------------------------------
% 62.62/9.27  % (509143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.62/9.27  % (509143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.62/9.27  % (509143)CaDiCaL version: 2.1.3
% 62.62/9.27  % (509143)Termination reason: Refutation not found, incomplete strategy
% 62.62/9.27  % (509143)Time elapsed: 0.002 s
% 62.62/9.27  % (509143)Peak memory usage: 12 MB
% 62.62/9.27  % (509143)Instructions burned: 4 (million)
% 62.62/9.27  % (509143)------------------------------
% 62.62/9.27  % (509143)------------------------------
% 62.62/9.27  % (509142)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=3825451390:s2a=on:i=3166:bd=preordered:rtra=on_2923 on theBenchmark for (2923ds/3166Mi)
% 62.62/9.27  % (509145)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3076903742:i=2352:rtra=on:ixr=off_2923 on theBenchmark for (2923ds/2352Mi)
% 62.62/9.27  % (509132)Instruction limit reached! 
% 62.62/9.27  % (509132)------------------------------
% 62.62/9.27  % (509132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.62/9.27  % (509132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.62/9.27  % (509132)CaDiCaL version: 2.1.3
% 62.62/9.27  % (509132)Termination reason: Instruction limit
% 62.62/9.27  % (509132)Termination phase: Saturation
% 62.62/9.27  % (509132)Time elapsed: 0.420 s
% 62.62/9.27  % (509132)Peak memory usage: 12 MB
% 62.62/9.27  % (509132)Instructions burned: 667 (million)
% 62.62/9.27  % (509148)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 62.62/9.27  % (509148)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=1753052254:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2923 on theBenchmark for (2923ds/452Mi)
% 62.62/9.27  % (509148)Refutation not found, incomplete strategy
% 62.62/9.27  % (509148)------------------------------
% 62.62/9.27  % (509148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.62/9.27  % (509148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.62/9.27  % (509148)CaDiCaL version: 2.1.3
% 62.62/9.27  % (509148)Termination reason: Refutation not found, incomplete strategy
% 62.62/9.27  % (509148)Time elapsed: 0.002 s
% 62.62/9.27  % (509148)Peak memory usage: 11 MB
% 66.64/9.87  % (509148)Instructions burned: 2 (million)
% 66.64/9.87  % (509148)------------------------------
% 66.64/9.87  % (509148)------------------------------
% 66.64/9.87  % (509150)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 66.64/9.87  % (509150)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 66.64/9.87  % (509150)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=3601142515:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2922 on theBenchmark for (2922ds/483Mi)
% 66.64/9.87  % (509150)Refutation not found, incomplete strategy
% 66.64/9.87  % (509150)------------------------------
% 66.64/9.87  % (509150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.64/9.87  % (509150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.64/9.87  % (509150)CaDiCaL version: 2.1.3
% 66.64/9.87  % (509150)Termination reason: Refutation not found, incomplete strategy
% 66.64/9.87  % (509150)Time elapsed: 0.001 s
% 66.64/9.87  % (509150)Peak memory usage: 12 MB
% 66.64/9.87  % (509150)Instructions burned: 1 (million)
% 66.64/9.87  % (509150)------------------------------
% 66.64/9.87  % (509150)------------------------------
% 66.64/9.87  % (509152)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=828393177:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2922 on theBenchmark for (2922ds/168Mi)
% 66.64/9.87  % (509136)Instruction limit reached! 
% 66.64/9.87  % (509136)------------------------------
% 66.64/9.87  % (509136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.64/9.87  % (509136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.64/9.87  % (509136)CaDiCaL version: 2.1.3
% 66.64/9.87  % (509136)Termination reason: Instruction limit
% 66.64/9.87  % (509136)Termination phase: Saturation
% 66.64/9.87  % (509136)Time elapsed: 0.421 s
% 66.64/9.87  % (509136)Peak memory usage: 11 MB
% 66.64/9.87  % (509136)Instructions burned: 555 (million)
% 66.64/9.87  % (509154)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=1932912531: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_2921 on theBenchmark for (2921ds/17240Mi)
% 66.64/9.87  % (509152)Instruction limit reached! 
% 66.64/9.87  % (509152)------------------------------
% 66.64/9.87  % (509152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.64/9.87  % (509152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.64/9.87  % (509152)CaDiCaL version: 2.1.3
% 66.64/9.87  % (509152)Termination reason: Instruction limit
% 66.64/9.87  % (509152)Termination phase: Saturation
% 66.64/9.87  % (509152)Time elapsed: 0.137 s
% 66.64/9.87  % (509152)Peak memory usage: 12 MB
% 66.64/9.87  % (509152)Instructions burned: 168 (million)
% 66.64/9.87  % (509156)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=1126610821:i=2022:fsr=off:rtra=on:ixr=off_2920 on theBenchmark for (2920ds/2022Mi)
% 66.64/9.87  % (509134)Instruction limit reached! 
% 66.64/9.87  % (509134)------------------------------
% 66.64/9.87  % (509134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.64/9.87  % (509134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.64/9.87  % (509134)CaDiCaL version: 2.1.3
% 66.64/9.87  % (509134)Termination reason: Instruction limit
% 66.64/9.87  % (509134)Termination phase: Saturation
% 66.64/9.87  % (509134)Time elapsed: 1.096 s
% 66.64/9.87  % (509134)Peak memory usage: 14 MB
% 66.64/9.87  % (509134)Instructions burned: 1801 (million)
% 66.64/9.87  % (509145)Instruction limit reached! 
% 66.64/9.87  % (509145)------------------------------
% 66.64/9.87  % (509145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.64/9.87  % (509145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.64/9.87  % (509145)CaDiCaL version: 2.1.3
% 66.64/9.87  % (509145)Termination reason: Instruction limit
% 66.64/9.87  % (509145)Termination phase: Saturation
% 66.64/9.87  % (509145)Time elapsed: 0.756 s
% 66.64/9.87  % (509145)Peak memory usage: 13 MB
% 66.64/9.87  % (509145)Instructions burned: 2354 (million)
% 66.64/9.87  % (509158)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=3243406100:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2915 on theBenchmark for (2915ds/2274Mi)
% 68.72/10.14  % (509159)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2746189133:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2915 on theBenchmark for (2915ds/555Mi)
% 68.72/10.14  % (509128)Instruction limit reached! 
% 68.72/10.14  % (509128)------------------------------
% 68.72/10.14  % (509128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.72/10.14  % (509128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.72/10.14  % (509128)CaDiCaL version: 2.1.3
% 68.72/10.14  % (509128)Termination reason: Instruction limit
% 68.72/10.14  % (509128)Termination phase: Saturation
% 68.72/10.14  % (509128)Time elapsed: 1.399 s
% 68.72/10.14  % (509128)Peak memory usage: 13 MB
% 68.72/10.14  % (509128)Instructions burned: 2296 (million)
% 68.72/10.14  % (509162)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=2682297476:avsq=on:i=2220:rtra=on_2914 on theBenchmark for (2914ds/2220Mi)
% 68.72/10.14  % (509159)Instruction limit reached! 
% 68.72/10.14  % (509159)------------------------------
% 68.72/10.14  % (509159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.72/10.14  % (509159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.72/10.14  % (509159)CaDiCaL version: 2.1.3
% 68.72/10.14  % (509159)Termination reason: Instruction limit
% 68.72/10.14  % (509159)Termination phase: Saturation
% 68.72/10.14  % (509159)Time elapsed: 0.334 s
% 68.72/10.14  % (509159)Peak memory usage: 13 MB
% 68.72/10.14  % (509159)Instructions burned: 556 (million)
% 68.72/10.14  % (509164)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3304944661:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2912 on theBenchmark for (2912ds/715Mi)
% 68.72/10.14  % (509164)Refutation not found, incomplete strategy
% 68.72/10.14  % (509164)------------------------------
% 68.72/10.14  % (509164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.72/10.14  % (509164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.72/10.14  % (509164)CaDiCaL version: 2.1.3
% 68.72/10.14  % (509164)Termination reason: Refutation not found, incomplete strategy
% 68.72/10.14  % (509164)Time elapsed: 0.002 s
% 68.72/10.14  % (509164)Peak memory usage: 11 MB
% 68.72/10.14  % (509164)Instructions burned: 2 (million)
% 68.72/10.14  % (509164)------------------------------
% 68.72/10.14  % (509164)------------------------------
% 68.72/10.14  % (509166)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
% 68.72/10.14  % (509166)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=3147322088:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2911 on theBenchmark for (2911ds/1979Mi)
% 68.72/10.14  % (509166)Refutation not found, incomplete strategy
% 68.72/10.14  % (509166)------------------------------
% 68.72/10.14  % (509166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.72/10.14  % (509166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.72/10.14  % (509166)CaDiCaL version: 2.1.3
% 68.72/10.14  % (509166)Termination reason: Refutation not found, incomplete strategy
% 68.72/10.14  % (509166)Time elapsed: 0.002 s
% 68.72/10.14  % (509166)Peak memory usage: 11 MB
% 68.72/10.14  % (509166)Instructions burned: 1 (million)
% 68.72/10.14  % (509166)------------------------------
% 68.72/10.14  % (509166)------------------------------
% 68.72/10.14  % (509168)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2339576550:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2911 on theBenchmark for (2911ds/28911Mi)
% 68.72/10.14  % (509168)Refutation not found, incomplete strategy
% 68.72/10.14  % (509168)------------------------------
% 68.72/10.14  % (509168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.72/10.14  % (509168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.72/10.14  % (509168)CaDiCaL version: 2.1.3
% 68.72/10.14  % (509168)Termination reason: Refutation not found, incomplete strategy
% 68.72/10.14  % (509168)Time elapsed: 0.001 s
% 68.72/10.14  % (509168)Peak memory usage: 11 MB
% 68.72/10.14  % (509168)Instructions burned: 1 (million)
% 68.72/10.14  % (509168)------------------------------
% 68.72/10.14  % (509168)------------------------------
% 68.72/10.14  % (509170)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=3397266950:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2911 on theBenchmark for (2911ds/414Mi)
% 73.29/10.94  % (509170)Refutation not found, incomplete strategy
% 73.29/10.94  % (509170)------------------------------
% 73.29/10.94  % (509170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.29/10.94  % (509170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.29/10.94  % (509170)CaDiCaL version: 2.1.3
% 73.29/10.94  % (509170)Termination reason: Refutation not found, incomplete strategy
% 73.29/10.94  % (509170)Time elapsed: 0.004 s
% 73.29/10.94  % (509170)Peak memory usage: 12 MB
% 73.29/10.94  % (509170)Instructions burned: 3 (million)
% 73.29/10.94  % (509170)------------------------------
% 73.29/10.94  % (509170)------------------------------
% 73.29/10.94  % (509172)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1449039725:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2910 on theBenchmark for (2910ds/429Mi)
% 73.29/10.94  % (509172)Instruction limit reached! 
% 73.29/10.94  % (509172)------------------------------
% 73.29/10.94  % (509172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.29/10.94  % (509172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.29/10.94  % (509172)CaDiCaL version: 2.1.3
% 73.29/10.94  % (509172)Termination reason: Instruction limit
% 73.29/10.94  % (509172)Termination phase: Saturation
% 73.29/10.94  % (509172)Time elapsed: 0.335 s
% 73.29/10.94  % (509172)Peak memory usage: 12 MB
% 73.29/10.94  % (509172)Instructions burned: 429 (million)
% 73.29/10.94  % (509158)Instruction limit reached! 
% 73.29/10.94  % (509158)------------------------------
% 73.29/10.94  % (509158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.29/10.94  % (509158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.29/10.94  % (509158)CaDiCaL version: 2.1.3
% 73.29/10.94  % (509158)Termination reason: Instruction limit
% 73.29/10.94  % (509158)Termination phase: Saturation
% 73.29/10.94  % (509158)Time elapsed: 0.867 s
% 73.29/10.94  % (509158)Peak memory usage: 15 MB
% 73.29/10.94  % (509158)Instructions burned: 2274 (million)
% 73.29/10.94  % (509174)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 73.29/10.94  % (509175)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=502788193:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2906 on theBenchmark for (2906ds/445Mi)
% 73.29/10.94  % (509174)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2432552901:lrd=on:i=841:nm=0:rtra=on_2907 on theBenchmark for (2907ds/841Mi)
% 73.29/10.94  % (509156)Instruction limit reached! 
% 73.29/10.94  % (509156)------------------------------
% 73.29/10.94  % (509156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.29/10.94  % (509156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.29/10.94  % (509156)CaDiCaL version: 2.1.3
% 73.29/10.94  % (509156)Termination reason: Instruction limit
% 73.29/10.94  % (509156)Termination phase: Saturation
% 73.29/10.94  % (509156)Time elapsed: 1.489 s
% 73.29/10.94  % (509156)Peak memory usage: 13 MB
% 73.29/10.94  % (509156)Instructions burned: 2022 (million)
% 73.29/10.94  % (509178)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=1701351382:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2905 on theBenchmark for (2905ds/1324Mi)
% 73.29/10.95  % (509178)Refutation not found, incomplete strategy
% 73.29/10.95  % (509178)------------------------------
% 73.29/10.95  % (509178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.29/10.95  % (509178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.29/10.95  % (509178)CaDiCaL version: 2.1.3
% 73.29/10.95  % (509178)Termination reason: Refutation not found, incomplete strategy
% 73.29/10.95  % (509178)Time elapsed: 0.003 s
% 73.29/10.95  % (509178)Peak memory usage: 12 MB
% 73.29/10.95  % (509178)Instructions burned: 2 (million)
% 73.29/10.95  % (509178)------------------------------
% 73.29/10.95  % (509178)------------------------------
% 73.29/10.95  % (509175)Instruction limit reached! 
% 73.29/10.95  % (509175)------------------------------
% 73.29/10.95  % (509175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.29/10.95  % (509175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.29/10.95  % (509175)CaDiCaL version: 2.1.3
% 79.44/11.76  % (509175)Termination reason: Instruction limit
% 79.44/11.76  % (509175)Termination phase: Saturation
% 79.44/11.76  % (509175)Time elapsed: 0.197 s
% 79.44/11.76  % (509175)Peak memory usage: 15 MB
% 79.44/11.76  % (509175)Instructions burned: 446 (million)
% 79.44/11.76  % (509180)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=1432834220:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2905 on theBenchmark for (2905ds/5401Mi)
% 79.44/11.76  % (509180)Refutation not found, incomplete strategy
% 79.44/11.76  % (509180)------------------------------
% 79.44/11.76  % (509180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.44/11.76  % (509180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.44/11.76  % (509180)CaDiCaL version: 2.1.3
% 79.44/11.76  % (509180)Termination reason: Refutation not found, incomplete strategy
% 79.44/11.76  % (509180)Time elapsed: 0.001 s
% 79.44/11.76  % (509180)Peak memory usage: 11 MB
% 79.44/11.76  % (509180)Instructions burned: 1 (million)
% 79.44/11.76  % (509180)------------------------------
% 79.44/11.76  % (509180)------------------------------
% 79.44/11.76  % (509181)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1265655615:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2904 on theBenchmark for (2904ds/4070Mi)
% 79.44/11.76  % (509183)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=896204532:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2904 on theBenchmark for (2904ds/984Mi)
% 79.44/11.76  % (509183)Refutation not found, incomplete strategy
% 79.44/11.76  % (509183)------------------------------
% 79.44/11.76  % (509183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.44/11.76  % (509183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.44/11.76  % (509183)CaDiCaL version: 2.1.3
% 79.44/11.76  % (509183)Termination reason: Refutation not found, incomplete strategy
% 79.44/11.76  % (509183)Time elapsed: 0.003 s
% 79.44/11.76  % (509183)Peak memory usage: 12 MB
% 79.44/11.76  % (509183)Instructions burned: 2 (million)
% 79.44/11.76  % (509183)------------------------------
% 79.44/11.76  % (509183)------------------------------
% 79.44/11.76  % (509186)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=409105446:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2904 on theBenchmark for (2904ds/112Mi)
% 79.44/11.76  % (509186)Refutation not found, incomplete strategy
% 79.44/11.76  % (509186)------------------------------
% 79.44/11.76  % (509186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.44/11.76  % (509186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.44/11.76  % (509186)CaDiCaL version: 2.1.3
% 79.44/11.76  % (509186)Termination reason: Refutation not found, incomplete strategy
% 79.44/11.76  % (509186)Time elapsed: 0.003 s
% 79.44/11.76  % (509186)Peak memory usage: 12 MB
% 79.44/11.76  % (509186)Instructions burned: 2 (million)
% 79.44/11.76  % (509186)------------------------------
% 79.44/11.76  % (509186)------------------------------
% 79.44/11.76  % (509188)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4124934155:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2904 on theBenchmark for (2904ds/1144Mi)
% 79.44/11.76  % (509188)Refutation not found, incomplete strategy
% 79.44/11.76  % (509188)------------------------------
% 79.44/11.76  % (509188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.44/11.76  % (509188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.44/11.76  % (509188)CaDiCaL version: 2.1.3
% 79.44/11.76  % (509188)Termination reason: Refutation not found, incomplete strategy
% 79.44/11.76  % (509188)Time elapsed: 0.001 s
% 79.44/11.76  % (509188)Peak memory usage: 11 MB
% 79.44/11.76  % (509188)Instructions burned: 1 (million)
% 79.44/11.76  % (509188)------------------------------
% 79.44/11.76  % (509188)------------------------------
% 79.44/11.76  % (509190)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=3092191514:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2903 on theBenchmark for (2903ds/1352Mi)
% 79.44/11.76  % (509162)Instruction limit reached! 
% 79.44/11.76  % (509162)------------------------------
% 79.44/11.76  % (509162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.44/11.76  % (509162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.44/11.76  % (509162)CaDiCaL version: 2.1.3
% 79.44/11.76  % (509162)Termination reason: Instruction limit
% 91.80/13.37  % (509162)Termination phase: Saturation
% 91.80/13.37  % (509162)Time elapsed: 1.224 s
% 91.80/13.37  % (509162)Peak memory usage: 13 MB
% 91.80/13.37  % (509162)Instructions burned: 2222 (million)
% 91.80/13.37  % (509192)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=2902132982:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2902 on theBenchmark for (2902ds/693Mi)
% 91.80/13.37  % (509142)Instruction limit reached! 
% 91.80/13.37  % (509142)------------------------------
% 91.80/13.37  % (509142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.80/13.37  % (509142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.80/13.37  % (509142)CaDiCaL version: 2.1.3
% 91.80/13.37  % (509142)Termination reason: Instruction limit
% 91.80/13.37  % (509142)Termination phase: Saturation
% 91.80/13.37  % (509142)Time elapsed: 2.292 s
% 91.80/13.37  % (509142)Peak memory usage: 14 MB
% 91.80/13.37  % (509142)Instructions burned: 3166 (million)
% 91.80/13.37  % (509174)Instruction limit reached! 
% 91.80/13.37  % (509174)------------------------------
% 91.80/13.37  % (509174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.80/13.37  % (509174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.80/13.37  % (509174)CaDiCaL version: 2.1.3
% 91.80/13.37  % (509174)Termination reason: Instruction limit
% 91.80/13.37  % (509174)Termination phase: Saturation
% 91.80/13.37  % (509174)Time elapsed: 0.641 s
% 91.80/13.37  % (509174)Peak memory usage: 13 MB
% 91.80/13.37  % (509174)Instructions burned: 842 (million)
% 91.80/13.37  % (509194)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=3012462994:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2900 on theBenchmark for (2900ds/908Mi)
% 91.80/13.37  % (509195)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=2262705631:i=6901:add=on:slsql=off:rtra=on:ntd=on_2900 on theBenchmark for (2900ds/6901Mi)
% 91.80/13.37  % (509192)Instruction limit reached! 
% 91.80/13.37  % (509192)------------------------------
% 91.80/13.37  % (509192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.80/13.37  % (509192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.80/13.37  % (509192)CaDiCaL version: 2.1.3
% 91.80/13.37  % (509192)Termination reason: Instruction limit
% 91.80/13.37  % (509192)Termination phase: Saturation
% 91.80/13.37  % (509192)Time elapsed: 0.463 s
% 91.80/13.37  % (509192)Peak memory usage: 12 MB
% 91.80/13.37  % (509192)Instructions burned: 693 (million)
% 91.80/13.37  % (509198)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1899775586:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2897 on theBenchmark for (2897ds/3621Mi)
% 91.80/13.37  % (509190)Instruction limit reached! 
% 91.80/13.37  % (509190)------------------------------
% 91.80/13.37  % (509190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.80/13.37  % (509190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.80/13.37  % (509190)CaDiCaL version: 2.1.3
% 91.80/13.37  % (509190)Termination reason: Instruction limit
% 91.80/13.37  % (509190)Termination phase: Saturation
% 91.80/13.37  % (509190)Time elapsed: 0.864 s
% 91.80/13.37  % (509190)Peak memory usage: 12 MB
% 91.80/13.37  % (509190)Instructions burned: 1353 (million)
% 91.80/13.37  % (509200)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=2117605467:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2894 on theBenchmark for (2894ds/1160Mi)
% 91.80/13.37  % (509200)Refutation not found, incomplete strategy
% 91.80/13.37  % (509200)------------------------------
% 91.80/13.37  % (509200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 91.80/13.37  % (509200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.80/13.37  % (509200)CaDiCaL version: 2.1.3
% 91.80/13.37  % (509200)Termination reason: Refutation not found, incomplete strategy
% 91.80/13.37  % (509200)Time elapsed: 0.004 s
% 91.80/13.37  % (509200)Peak memory usage: 11 MB
% 91.80/13.37  % (509200)Instructions burned: 3 (million)
% 91.80/13.37  % (509200)------------------------------
% 91.80/13.37  % (509200)------------------------------
% 91.80/13.37  % (509202)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=2051194493:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2894 on theBenchmark for (2894ds/570Mi)
% 100.03/14.63  % (509194)Instruction limit reached! 
% 100.03/14.63  % (509194)------------------------------
% 100.03/14.63  % (509194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.03/14.63  % (509194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.03/14.63  % (509194)CaDiCaL version: 2.1.3
% 100.03/14.63  % (509194)Termination reason: Instruction limit
% 100.03/14.63  % (509194)Termination phase: Saturation
% 100.03/14.63  % (509194)Time elapsed: 0.744 s
% 100.03/14.63  % (509194)Peak memory usage: 15 MB
% 100.03/14.63  % (509194)Instructions burned: 909 (million)
% 100.03/14.63  % (509204)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=715704529:i=324:bd=all:ins=4:rtra=on_2892 on theBenchmark for (2892ds/324Mi)
% 100.03/14.63  % (509202)Instruction limit reached! 
% 100.03/14.63  % (509202)------------------------------
% 100.03/14.63  % (509202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.03/14.63  % (509202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.03/14.63  % (509202)CaDiCaL version: 2.1.3
% 100.03/14.63  % (509202)Termination reason: Instruction limit
% 100.03/14.63  % (509202)Termination phase: Saturation
% 100.03/14.63  % (509202)Time elapsed: 0.377 s
% 100.03/14.63  % (509202)Peak memory usage: 13 MB
% 100.03/14.63  % (509202)Instructions burned: 570 (million)
% 100.03/14.63  % (509206)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=2426171882:s2a=on:i=5712:rtra=on_2890 on theBenchmark for (2890ds/5712Mi)
% 100.03/14.63  % (509204)Instruction limit reached! 
% 100.03/14.63  % (509204)------------------------------
% 100.03/14.63  % (509204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.03/14.63  % (509204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.03/14.63  % (509204)CaDiCaL version: 2.1.3
% 100.03/14.63  % (509204)Termination reason: Instruction limit
% 100.03/14.63  % (509204)Termination phase: Saturation
% 100.03/14.63  % (509204)Time elapsed: 0.250 s
% 100.03/14.63  % (509204)Peak memory usage: 14 MB
% 100.03/14.63  % (509204)Instructions burned: 325 (million)
% 100.03/14.63  % (509208)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 100.03/14.63  % (509208)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 100.03/14.63  % (509208)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=3275486837:i=901:rtra=on:fsd=on_2889 on theBenchmark for (2889ds/901Mi)
% 100.03/14.63  % (509181)Instruction limit reached! 
% 100.03/14.63  % (509181)------------------------------
% 100.03/14.63  % (509181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.03/14.63  % (509181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.03/14.63  % (509181)CaDiCaL version: 2.1.3
% 100.03/14.63  % (509181)Termination reason: Instruction limit
% 100.03/14.63  % (509181)Termination phase: Saturation
% 100.03/14.63  % (509181)Time elapsed: 1.522 s
% 100.03/14.63  % (509181)Peak memory usage: 19 MB
% 100.03/14.63  % (509181)Instructions burned: 4072 (million)
% 100.03/14.63  % (509210)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=225681575:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2889 on theBenchmark for (2889ds/2961Mi)
% 100.03/14.63  % (509210)Refutation not found, incomplete strategy
% 100.03/14.63  % (509210)------------------------------
% 100.03/14.63  % (509210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.03/14.63  % (509210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.03/14.63  % (509210)CaDiCaL version: 2.1.3
% 100.03/14.63  % (509210)Termination reason: Refutation not found, incomplete strategy
% 100.03/14.63  % (509210)Time elapsed: 0.001 s
% 100.03/14.63  % (509210)Peak memory usage: 11 MB
% 100.03/14.63  % (509210)Instructions burned: 1 (million)
% 100.03/14.63  % (509210)------------------------------
% 100.03/14.63  % (509210)------------------------------
% 100.03/14.63  % (509212)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=425564437:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2889 on theBenchmark for (2889ds/3526Mi)
% 100.03/14.63  % (509106)Instruction limit reached! 
% 100.03/14.63  % (509106)------------------------------
% 106.56/15.42  % (509106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.56/15.42  % (509106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.56/15.42  % (509106)CaDiCaL version: 2.1.3
% 106.56/15.42  % (509106)Termination reason: Instruction limit
% 106.56/15.42  % (509106)Termination phase: Saturation
% 106.56/15.42  % (509106)Time elapsed: 5.094 s
% 106.56/15.42  % (509106)Peak memory usage: 32 MB
% 106.56/15.42  % (509106)Instructions burned: 6580 (million)
% 106.56/15.42  % (509214)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=939597291:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2885 on theBenchmark for (2885ds/3368Mi)
% 106.56/15.42  % (509214)Refutation not found, incomplete strategy
% 106.56/15.42  % (509214)------------------------------
% 106.56/15.42  % (509214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.56/15.42  % (509214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.56/15.42  % (509214)CaDiCaL version: 2.1.3
% 106.56/15.42  % (509214)Termination reason: Refutation not found, incomplete strategy
% 106.56/15.42  % (509214)Time elapsed: 0.001 s
% 106.56/15.42  % (509214)Peak memory usage: 11 MB
% 106.56/15.42  % (509214)Instructions burned: 1 (million)
% 106.56/15.42  % (509214)------------------------------
% 106.56/15.42  % (509214)------------------------------
% 106.56/15.42  % (509216)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=1177898047:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2885 on theBenchmark for (2885ds/20626Mi)
% 106.56/15.42  % (509208)Instruction limit reached! 
% 106.56/15.42  % (509208)------------------------------
% 106.56/15.42  % (509208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.56/15.42  % (509208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.56/15.42  % (509208)CaDiCaL version: 2.1.3
% 106.56/15.42  % (509208)Termination reason: Instruction limit
% 106.56/15.42  % (509208)Termination phase: Saturation
% 106.56/15.42  % (509208)Time elapsed: 0.634 s
% 106.56/15.42  % (509208)Peak memory usage: 12 MB
% 106.56/15.42  % (509208)Instructions burned: 902 (million)
% 106.56/15.42  % (509218)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3427654324:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2883 on theBenchmark for (2883ds/27154Mi)
% 106.56/15.42  % (509212)Instruction limit reached! 
% 106.56/15.42  % (509212)------------------------------
% 106.56/15.42  % (509212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.56/15.42  % (509212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.56/15.42  % (509212)CaDiCaL version: 2.1.3
% 106.56/15.42  % (509212)Termination reason: Instruction limit
% 106.56/15.42  % (509212)Termination phase: Saturation
% 106.56/15.42  % (509212)Time elapsed: 0.974 s
% 106.56/15.42  % (509212)Peak memory usage: 14 MB
% 106.56/15.42  % (509212)Instructions burned: 3530 (million)
% 106.56/15.42  % (509220)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1702845884:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2879 on theBenchmark for (2879ds/515Mi)
% 106.56/15.42  % (509220)Refutation not found, incomplete strategy
% 106.56/15.42  % (509220)------------------------------
% 106.56/15.42  % (509220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.56/15.42  % (509220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.56/15.42  % (509220)CaDiCaL version: 2.1.3
% 106.56/15.42  % (509220)Termination reason: Refutation not found, incomplete strategy
% 106.56/15.42  % (509220)Time elapsed: 0.001 s
% 106.56/15.42  % (509220)Peak memory usage: 12 MB
% 106.56/15.42  % (509220)Instructions burned: 1 (million)
% 106.56/15.42  % (509220)------------------------------
% 106.56/15.42  % (509220)------------------------------
% 106.56/15.42  % (509222)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2202244862:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2879 on theBenchmark for (2879ds/2653Mi)
% 106.56/15.42  % (509198)Instruction limit reached! 
% 106.56/15.42  % (509198)------------------------------
% 106.56/15.42  % (509198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 106.56/15.42  % (509198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.56/15.42  % (509198)CaDiCaL version: 2.1.3
% 106.56/15.42  % (509198)Termination reason: Instruction limit
% 106.56/15.42  % (509198)Termination phase: Saturation
% 106.56/15.42  % (509198)Time elapsed: 2.695 s
% 106.56/15.42  % (509198)Peak memory usage: 16 MB
% 106.56/15.42  % (509198)Instructions burned: 3622 (million)
% 109.61/16.04  % (509224)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
% 109.61/16.04  % (509224)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=1301722434:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2869 on theBenchmark for (2869ds/1297Mi)
% 109.61/16.04  % (509222)Instruction limit reached! 
% 109.61/16.04  % (509222)------------------------------
% 109.61/16.04  % (509222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 109.61/16.04  % (509222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.61/16.04  % (509222)CaDiCaL version: 2.1.3
% 109.61/16.04  % (509222)Termination reason: Instruction limit
% 109.61/16.04  % (509222)Termination phase: Saturation
% 109.61/16.04  % (509222)Time elapsed: 1.033 s
% 109.61/16.04  % (509222)Peak memory usage: 18 MB
% 109.61/16.04  % (509222)Instructions burned: 2654 (million)
% 109.61/16.04  % (509226)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=2042524265:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2868 on theBenchmark for (2868ds/1950Mi)
% 109.61/16.04  % (509195)Instruction limit reached! 
% 109.61/16.04  % (509195)------------------------------
% 109.61/16.04  % (509195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 109.61/16.04  % (509195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.61/16.04  % (509195)CaDiCaL version: 2.1.3
% 109.61/16.04  % (509195)Termination reason: Instruction limit
% 109.61/16.04  % (509195)Termination phase: Saturation
% 109.61/16.04  % (509195)Time elapsed: 3.699 s
% 109.61/16.04  % (509195)Peak memory usage: 14 MB
% 109.61/16.04  % (509195)Instructions burned: 6902 (million)
% 109.61/16.04  % (509228)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=2577924019:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2862 on theBenchmark for (2862ds/2818Mi)
% 109.61/16.04  % (509226)Instruction limit reached! 
% 109.61/16.04  % (509226)------------------------------
% 109.61/16.04  % (509226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 109.61/16.04  % (509226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.61/16.04  % (509226)CaDiCaL version: 2.1.3
% 109.61/16.04  % (509226)Termination reason: Instruction limit
% 109.61/16.04  % (509226)Termination phase: Saturation
% 109.61/16.04  % (509226)Time elapsed: 0.853 s
% 109.61/16.04  % (509226)Peak memory usage: 18 MB
% 109.61/16.04  % (509226)Instructions burned: 1951 (million)
% 109.61/16.04  % (509224)Instruction limit reached! 
% 109.61/16.04  % (509224)------------------------------
% 109.61/16.04  % (509224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 109.61/16.04  % (509224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.61/16.04  % (509224)CaDiCaL version: 2.1.3
% 109.61/16.04  % (509224)Termination reason: Instruction limit
% 109.61/16.04  % (509224)Termination phase: Saturation
% 109.61/16.04  % (509224)Time elapsed: 0.973 s
% 109.61/16.04  % (509224)Peak memory usage: 13 MB
% 109.61/16.04  % (509224)Instructions burned: 1298 (million)
% 109.61/16.04  % (509230)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=2363430032:s2a=on:i=573:rtra=on:gsp=on_2859 on theBenchmark for (2859ds/573Mi)
% 109.61/16.04  % (509230)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 109.61/16.04  % (509231)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=1418749446:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2859 on theBenchmark for (2859ds/9598Mi)
% 109.61/16.04  % (509230)Instruction limit reached! 
% 109.61/16.04  % (509230)------------------------------
% 109.61/16.04  % (509230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 109.61/16.04  % (509230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.61/16.04  % (509230)CaDiCaL version: 2.1.3
% 109.61/16.04  % (509230)Termination reason: Instruction limit
% 109.61/16.04  % (509230)Termination phase: Saturation
% 109.61/16.04  % (509230)Time elapsed: 0.235 s
% 109.61/16.04  % (509230)Peak memory usage: 13 MB
% 109.61/16.04  % (509230)Instructions burned: 574 (million)
% 109.61/16.04  % (509234)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 109.61/16.04  % (509234)ott+1002_16_sil=128000:si=on:random_seed=3116664080:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2857 on theBenchmark for (2857ds/409Mi)
% 124.36/17.96  % (509234)Instruction limit reached! 
% 124.36/17.96  % (509234)------------------------------
% 124.36/17.96  % (509234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 124.36/17.96  % (509234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 124.36/17.96  % (509234)CaDiCaL version: 2.1.3
% 124.36/17.96  % (509234)Termination reason: Instruction limit
% 124.36/17.96  % (509234)Termination phase: Saturation
% 124.36/17.96  % (509234)Time elapsed: 0.122 s
% 124.36/17.96  % (509234)Peak memory usage: 12 MB
% 124.36/17.96  % (509234)Instructions burned: 411 (million)
% 124.36/17.96  % (509206)Instruction limit reached! 
% 124.36/17.96  % (509206)------------------------------
% 124.36/17.96  % (509206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 124.36/17.96  % (509206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 124.36/17.96  % (509206)CaDiCaL version: 2.1.3
% 124.36/17.96  % (509206)Termination reason: Instruction limit
% 124.36/17.96  % (509206)Termination phase: Saturation
% 124.36/17.96  % (509206)Time elapsed: 3.417 s
% 124.36/17.96  % (509206)Peak memory usage: 14 MB
% 124.36/17.96  % (509206)Instructions burned: 5712 (million)
% 124.36/17.96  % (509236)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=2333454703:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2855 on theBenchmark for (2855ds/403Mi)
% 124.36/17.96  % (509236)Refutation not found, incomplete strategy
% 124.36/17.96  % (509236)------------------------------
% 124.36/17.96  % (509236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 124.36/17.96  % (509236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 124.36/17.96  % (509236)CaDiCaL version: 2.1.3
% 124.36/17.96  % (509236)Termination reason: Refutation not found, incomplete strategy
% 124.36/17.96  % (509236)Time elapsed: 0.001 s
% 124.36/17.96  % (509236)Peak memory usage: 11 MB
% 124.36/17.96  % (509236)Instructions burned: 1 (million)
% 124.36/17.96  % (509236)------------------------------
% 124.36/17.96  % (509236)------------------------------
% 124.36/17.96  % (509239)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1299051361:i=13574:kws=inv_precedence:rtra=on_2855 on theBenchmark for (2855ds/13574Mi)
% 124.36/17.96  % (509239)Refutation not found, incomplete strategy
% 124.36/17.96  % (509239)------------------------------
% 124.36/17.96  % (509239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 124.36/17.96  % (509239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 124.36/17.96  % (509239)CaDiCaL version: 2.1.3
% 124.36/17.96  % (509239)Termination reason: Refutation not found, incomplete strategy
% 124.36/17.96  % (509239)Time elapsed: 0.001 s
% 124.36/17.96  % (509239)Peak memory usage: 12 MB
% 124.36/17.96  % (509239)Instructions burned: 2 (million)
% 124.36/17.96  % (509239)------------------------------
% 124.36/17.96  % (509239)------------------------------
% 124.36/17.96  % (509237)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4282092910:cond=on:i=1140:rtra=on:ntd=on_2855 on theBenchmark for (2855ds/1140Mi)
% 124.36/17.96  % (509241)lrs+10_2:1_si=on:random_seed=1793296809:s2a=on:i=1055:rtra=on:fe=abstraction_2855 on theBenchmark for (2855ds/1055Mi)
% 124.36/17.96  % (509241)Instruction limit reached! 
% 124.36/17.96  % (509241)------------------------------
% 124.36/17.96  % (509241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 124.36/17.96  % (509241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 124.36/17.96  % (509241)CaDiCaL version: 2.1.3
% 124.36/17.96  % (509241)Termination reason: Instruction limit
% 124.36/17.96  % (509241)Termination phase: Saturation
% 124.36/17.96  % (509241)Time elapsed: 0.413 s
% 124.36/17.96  % (509241)Peak memory usage: 13 MB
% 124.36/17.96  % (509241)Instructions burned: 1056 (million)
% 124.36/17.96  % (509244)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 124.36/17.96  % (509244)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=3835042252:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2851 on theBenchmark for (2851ds/416Mi)
% 124.36/17.96  % (509244)Instruction limit reached! 
% 124.36/17.96  % (509244)------------------------------
% 124.36/17.96  % (509244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509244)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509244)Termination reason: Instruction limit
% 137.28/19.78  % (509244)Termination phase: Saturation
% 137.28/19.78  % (509244)Time elapsed: 0.177 s
% 137.28/19.78  % (509244)Peak memory usage: 13 MB
% 137.28/19.78  % (509244)Instructions burned: 416 (million)
% 137.28/19.78  % (509246)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=2716028290:s2a=on:i=8946:bd=preordered:av=off:rtra=on_2849 on theBenchmark for (2849ds/8946Mi)
% 137.28/19.78  % (509237)Instruction limit reached! 
% 137.28/19.78  % (509237)------------------------------
% 137.28/19.78  % (509237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509237)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509237)Termination reason: Instruction limit
% 137.28/19.78  % (509237)Termination phase: Saturation
% 137.28/19.78  % (509237)Time elapsed: 0.880 s
% 137.28/19.78  % (509237)Peak memory usage: 13 MB
% 137.28/19.78  % (509237)Instructions burned: 1140 (million)
% 137.28/19.78  % (509248)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=293327520:s2a=on:i=2129:nm=16:rtra=on_2846 on theBenchmark for (2846ds/2129Mi)
% 137.28/19.78  % (509248)Refutation not found, incomplete strategy
% 137.28/19.78  % (509248)------------------------------
% 137.28/19.78  % (509248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509248)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509248)Termination reason: Refutation not found, incomplete strategy
% 137.28/19.78  % (509248)Time elapsed: 0.003 s
% 137.28/19.78  % (509248)Peak memory usage: 12 MB
% 137.28/19.78  % (509248)Instructions burned: 2 (million)
% 137.28/19.78  % (509248)------------------------------
% 137.28/19.78  % (509248)------------------------------
% 137.28/19.78  % (509250)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3108366264:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_2846 on theBenchmark for (2846ds/300Mi)
% 137.28/19.78  % (509250)Instruction limit reached! 
% 137.28/19.78  % (509250)------------------------------
% 137.28/19.78  % (509250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509250)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509250)Termination reason: Instruction limit
% 137.28/19.78  % (509250)Termination phase: Saturation
% 137.28/19.78  % (509250)Time elapsed: 0.169 s
% 137.28/19.78  % (509250)Peak memory usage: 13 MB
% 137.28/19.78  % (509250)Instructions burned: 301 (million)
% 137.28/19.78  % (509252)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=2534129018:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_2844 on theBenchmark for (2844ds/11464Mi)
% 137.28/19.78  % (509252)Refutation not found, incomplete strategy
% 137.28/19.78  % (509252)------------------------------
% 137.28/19.78  % (509252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509252)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509252)Termination reason: Refutation not found, incomplete strategy
% 137.28/19.78  % (509252)Time elapsed: 0.004 s
% 137.28/19.78  % (509252)Peak memory usage: 12 MB
% 137.28/19.78  % (509252)Instructions burned: 3 (million)
% 137.28/19.78  % (509252)------------------------------
% 137.28/19.78  % (509252)------------------------------
% 137.28/19.78  % (509254)dis+2_28_to=kbo:tgt=ground:plsq=on:plsqc=3:si=on:sp=unary_first:plsqr=32,1:spb=goal_then_units:uwa=off:fd=preordered:nwc=3:random_seed=114104882:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_2843 on theBenchmark for (2843ds/11001Mi)
% 137.28/19.78  % (509228)Instruction limit reached! 
% 137.28/19.78  % (509228)------------------------------
% 137.28/19.78  % (509228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509228)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509228)Termination reason: Instruction limit
% 137.28/19.78  % (509228)Termination phase: Saturation
% 137.28/19.78  % (509228)Time elapsed: 1.955 s
% 137.28/19.78  % (509228)Peak memory usage: 13 MB
% 137.28/19.78  % (509228)Instructions burned: 2819 (million)
% 137.28/19.78  % (509256)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3847448779:hsq=on:i=662:rtra=on:ixr=off_2843 on theBenchmark for (2843ds/662Mi)
% 137.28/19.78  % (509256)Instruction limit reached! 
% 137.28/19.78  % (509256)------------------------------
% 137.28/19.78  % (509256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509256)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509256)Termination reason: Instruction limit
% 137.28/19.78  % (509256)Termination phase: Saturation
% 137.28/19.78  % (509256)Time elapsed: 0.429 s
% 137.28/19.78  % (509256)Peak memory usage: 12 MB
% 137.28/19.78  % (509256)Instructions burned: 662 (million)
% 137.28/19.78  % (509258)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=477690541:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_2838 on theBenchmark for (2838ds/1714Mi)
% 137.28/19.78  % (509154)Instruction limit reached! 
% 137.28/19.78  % (509154)------------------------------
% 137.28/19.78  % (509154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509154)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509154)Termination reason: Instruction limit
% 137.28/19.78  % (509154)Termination phase: Saturation
% 137.28/19.78  % (509154)Time elapsed: 8.744 s
% 137.28/19.78  % (509154)Peak memory usage: 17 MB
% 137.28/19.78  % (509154)Instructions burned: 17242 (million)
% 137.28/19.78  % (509260)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=2045005856:s2a=on:i=699:add=on:bd=preordered:ins=10:rtra=on_2833 on theBenchmark for (2833ds/699Mi)
% 137.28/19.78  % (509260)Instruction limit reached! 
% 137.28/19.78  % (509260)------------------------------
% 137.28/19.78  % (509260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509260)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509260)Termination reason: Instruction limit
% 137.28/19.78  % (509260)Termination phase: Saturation
% 137.28/19.78  % (509260)Time elapsed: 0.431 s
% 137.28/19.78  % (509260)Peak memory usage: 14 MB
% 137.28/19.78  % (509260)Instructions burned: 700 (million)
% 137.28/19.78  % (509262)lrs+21_1_to=lpo:sil=128000:fde=none:e2e=on:si=on:lma=off:nwc=4:random_seed=1441883450:i=4542:bd=preordered:rtra=on:ss=axioms_2828 on theBenchmark for (2828ds/4542Mi)
% 137.28/19.78  % (509262)Refutation not found, incomplete strategy
% 137.28/19.78  % (509262)------------------------------
% 137.28/19.78  % (509262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509262)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509262)Termination reason: Refutation not found, incomplete strategy
% 137.28/19.78  % (509262)Time elapsed: 0.001 s
% 137.28/19.78  % (509262)Peak memory usage: 11 MB
% 137.28/19.78  % (509262)------------------------------
% 137.28/19.78  % (509262)------------------------------
% 137.28/19.78  % (509264)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=953732710:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2828 on theBenchmark for (2828ds/280Mi)
% 137.28/19.78  % (509264)Instruction limit reached! 
% 137.28/19.78  % (509264)------------------------------
% 137.28/19.78  % (509264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509264)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509264)Termination reason: Instruction limit
% 137.28/19.78  % (509264)Termination phase: Saturation
% 137.28/19.78  % (509264)Time elapsed: 0.222 s
% 137.28/19.78  % (509264)Peak memory usage: 12 MB
% 137.28/19.78  % (509264)Instructions burned: 281 (million)
% 137.28/19.78  % (509266)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 137.28/19.78  % (509266)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=929977006:i=13409:hud=10:nm=16:av=off:rtra=on:ntd=on_2825 on theBenchmark for (2825ds/13409Mi)
% 137.28/19.78  % (509258)Instruction limit reached! 
% 137.28/19.78  % (509258)------------------------------
% 137.28/19.78  % (509258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509258)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509258)Termination reason: Instruction limit
% 137.28/19.78  % (509258)Termination phase: Saturation
% 137.28/19.78  % (509258)Time elapsed: 1.423 s
% 137.28/19.78  % (509258)Peak memory usage: 19 MB
% 137.28/19.78  % (509258)Instructions burned: 1714 (million)
% 137.28/19.78  % (509268)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=3810460791:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=26870:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2823 on theBenchmark for (2823ds/26870Mi)
% 137.28/19.78  % (509246)Instruction limit reached! 
% 137.28/19.78  % (509246)------------------------------
% 137.28/19.78  % (509246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.28/19.78  % (509246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.28/19.78  % (509246)CaDiCaL version: 2.1.3
% 137.28/19.78  % (509246)Termination reason: Instruction limit
% 137.28/19.78  % (509246)Termination phase: Saturation
% 137.28/19.78  % (509246)Time elapsed: 3.251 s
% 137.28/19.78  % (509246)Peak memory usage: 17 MB
% 137.28/19.78  % (509246)Instructions burned: 8946 (million)
% 137.28/19.78  % (509270)dis+21_16:1_to=lpo:drc=off:cnfonf=lazy_not_be_gen:si=on:sp=const_min:lma=off:urr=on:uwa=hol:nwc=20:s2agt=4:random_seed=547976582:uwa_fpi=on:s2a=on:i=21001:s2at=3:piset=or:hud=15:rtra=on:fe=abstraction_2816 on theBenchmark for (2816ds/21001Mi)
% 137.28/19.78  % (509216) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-508661-509216"...
% 137.28/19.78  % (509216)...printing done.
% 137.28/19.78  % (509216)Refutation found. Thanks to Tanya!
% 137.28/19.78  % SZS status Unsatisfiable for theBenchmark
% 137.28/19.78  % SZS output start Proof for theBenchmark
% See solution above
% 137.89/19.96  % (509216)------------------------------
% 137.89/19.96  % (509216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.89/19.96  % (509216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.89/19.96  % (509216)CaDiCaL version: 2.1.3
% 137.89/19.96  % (509216)Termination reason: Refutation
% 137.89/19.96  % (509216)Time elapsed: 7.930 s
% 137.89/19.96  % (509216)Peak memory usage: 27 MB
% 137.89/19.96  % (509216)Instructions burned: 9498 (million)
% 137.89/19.96  % (508661)Success in time 19.598 s
% 137.89/19.96  % Vampire exiting
%------------------------------------------------------------------------------