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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRA083^1 : TPTP v9.3.1. Released v9.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 07:50:39 AM UTC 2026

% Result   : Unsatisfiable 98.31s 14.22s
% Output   : Refutation 98.31s
% 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,
    ( inj
    = ( ^ [X0: $i > $i] :
        ! [X2: $i,X1: $i] :
          ( ( ( X0 @ X1 )
            = ( X0 @ X2 ) )
         => ( X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inj_def) ).

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

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

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

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

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

thf(f7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( b @ X2 @ X1 )
      | ~ ( b @ X2 @ X0 )
      | ~ ( b @ X1 @ X0 ) ),
    inference(rectify,[],[f6]) ).

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

thf(f9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r @ X2 @ X1 )
      | ~ ( r @ X0 @ X1 )
      | ~ ( r @ X3 @ X0 )
      | ~ ( r @ X2 @ X0 )
      | ~ ( r @ X3 @ X2 ) ),
    inference(rectify,[],[f5]) ).

thf(f10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( $true
       != ( r @ X2 @ X1 ) )
      | ( ( r @ X0 @ X1 )
       != $true )
      | ( $true
       != ( r @ X3 @ X0 ) )
      | ( $true
       != ( r @ X2 @ X0 ) )
      | ( $true
       != ( r @ X3 @ X2 ) ) ),
    inference(fool_elimination,[],[f9]) ).

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

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

thf(f13,plain,
    ( inj
    = ( ^ [X0: $i > $i] :
        ! [X1: $i,X2: $i] :
          ( ( ( X0 @ X1 )
            = ( X0 @ X2 ) )
         => ( X1 = X2 ) ) ) ),
    inference(rectify,[],[f1]) ).

thf(f14,plain,
    ( inj
    = ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( ( Y0 @ Y2 )
                    = ( Y0 @ Y1 ) )
                 => ( Y2 = Y1 ) ) ) ) ) ),
    inference(fool_elimination,[],[f13]) ).

thf(f15,plain,
    ( surj
    = ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ?? @ $i
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y2 )
                  = Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f2]) ).

thf(f16,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( b @ X1 @ X0 )
      | ( r @ X1 @ X0 ) ),
    inference(rectify,[],[f4]) ).

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

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

thf(f19,plain,
    ! [X0: $i,X2: $i,X1: $i,X3: $i] :
      ( ( $true
       != ( r @ X2 @ X0 ) )
      | ( $true
       != ( r @ X3 @ X2 ) )
      | ( $true
       != ( r @ X3 @ X0 ) )
      | ( $true
       != ( r @ X2 @ X1 ) )
      | ( ( r @ X0 @ X1 )
       != $true ) ),
    inference(flattening,[],[f10]) ).

thf(f20,plain,
    ? [X0: $i > $i] :
      ( ( ( inj @ X0 )
        = $true )
      & ( ( surj @ X0 )
       != $true ) ),
    inference(flattening,[],[f12]) ).

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

thf(f22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( b @ X1 @ X0 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true ) ),
    inference(rectify,[],[f18]) ).

thf(f23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( $true
       != ( r @ X1 @ X0 ) )
      | ( $true
       != ( r @ X3 @ X1 ) )
      | ( $true
       != ( r @ X3 @ X0 ) )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( r @ X0 @ X2 )
       != $true ) ),
    inference(rectify,[],[f19]) ).

thf(f24,plain,
    ( ( $true
      = ( inj @ sK0 ) )
    & ( $true
     != ( surj @ sK0 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).

thf(f25,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ X0 @ X1 )
        = $true )
      | ( ( b @ X0 @ X1 )
        = $true )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f21]) ).

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

thf(f27,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X3 @ X1 ) )
      | ( $true
       != ( r @ X1 @ X0 ) )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( r @ X0 @ X2 )
       != $true )
      | ( $true
       != ( r @ X3 @ X0 ) ) ),
    inference(cnf_transformation,[],[f23]) ).

thf(f28,plain,
    ( inj
    = ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( ( Y0 @ Y2 )
                    = ( Y0 @ Y1 ) )
                 => ( Y2 = Y1 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f29,plain,
    ( surj
    = ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ?? @ $i
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y2 )
                  = Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f15]) ).

thf(f30,plain,
    ( $true
   != ( surj @ sK0 ) ),
    inference(cnf_transformation,[],[f24]) ).

thf(f31,plain,
    ( $true
    = ( inj @ sK0 ) ),
    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,[],[f31,f28]) ).

thf(f35,plain,
    ( $true
   != ( ^ [Y0: $i > $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ?? @ $i
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y2 )
                  = Y1 ) ) )
      @ sK0 ) ),
    inference(definition_unfolding,[],[f30,f29]) ).

thf(f36,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ( ( sK0 @ Y1 )
                = ( sK0 @ Y0 ) )
             => ( Y1 = Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f34]) ).

thf(f37,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ( sK0 @ Y1 )
                  = ( sK0 @ Y0 ) )
               => ( Y1 = Y0 ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f36]) ).

thf(f38,plain,
    ! [X1: $i] :
      ( $true
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( ( sK0 @ Y0 )
              = ( sK0 @ X1 ) )
           => ( Y0 = X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f37]) ).

thf(f39,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( ( sK0 @ Y0 )
              = ( sK0 @ X1 ) )
           => ( Y0 = X1 ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f38]) ).

thf(f40,plain,
    ! [X2: $i,X1: $i] :
      ( $true
      = ( ( ( sK0 @ X2 )
          = ( sK0 @ X1 ) )
       => ( X2 = X1 ) ) ),
    inference(beta-eta_normalization,[],[f39]) ).

thf(f41,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( X2 = X1 )
        = $true )
      | ( $false
        = ( ( sK0 @ X2 )
          = ( sK0 @ X1 ) ) ) ),
    inference(imp_proxy_clausification,[],[f40]) ).

thf(f42,plain,
    ! [X2: $i,X1: $i] :
      ( ( $false
        = ( ( sK0 @ X2 )
          = ( sK0 @ X1 ) ) )
      | ( X1 = X2 ) ),
    inference(equality_proxy_clausification,[],[f41]) ).

thf(f43,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( sK0 @ X1 )
       != ( sK0 @ X2 ) )
      | ( X1 = X2 ) ),
    inference(equality_proxy_clausification,[],[f42]) ).

thf(f44,plain,
    ( $true
   != ( !! @ $i
      @ ^ [Y0: $i] :
          ( ?? @ $i
          @ ^ [Y1: $i] :
              ( ( sK0 @ Y1 )
              = Y0 ) ) ) ),
    inference(beta-eta_normalization,[],[f35]) ).

thf(f45,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ?? @ $i
          @ ^ [Y1: $i] :
              ( ( sK0 @ Y1 )
              = Y0 ) )
      @ sK1 ) ),
    inference(sigma_proxy_clausification,[],[f44]) ).

thf(f46,plain,
    ( $false
    = ( ?? @ $i
      @ ^ [Y0: $i] :
          ( ( sK0 @ Y0 )
          = sK1 ) ) ),
    inference(beta-eta_normalization,[],[f45]) ).

thf(f47,plain,
    ! [X1: $i] :
      ( $false
      = ( ^ [Y0: $i] :
            ( ( sK0 @ Y0 )
            = sK1 )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f46]) ).

thf(f48,plain,
    ! [X1: $i] :
      ( ( ( sK0 @ X1 )
        = sK1 )
      = $false ),
    inference(beta-eta_normalization,[],[f47]) ).

thf(f49,plain,
    ! [X1: $i] :
      ( ( sK0 @ X1 )
     != sK1 ),
    inference(equality_proxy_clausification,[],[f48]) ).

thf(f50,plain,
    ! [X0: $i] :
      ( ( $true
        = ( r @ ( sK0 @ X0 ) @ sK1 ) )
      | ( $true
        = ( b @ ( sK0 @ X0 ) @ sK1 ) ) ),
    inference(extensionality_resolution,[],[f25,f49]) ).

thf(f51,plain,
    ! [X0: $i] :
      ( ( $true
        = ( r @ sK1 @ ( sK0 @ X0 ) ) )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
    inference(extensionality_resolution,[],[f25,f49]) ).

thf(f52,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
      | ( $true
        = ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
      | ( X0 = X1 ) ),
    inference(extensionality_resolution,[],[f25,f43]) ).

thf(f55,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X0 @ X1 )
        = $true )
      | ( ( r @ X0 @ X2 )
       != $true )
      | ( ( r @ X2 @ X3 )
       != $true )
      | ( X0 = X1 )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( r @ X1 @ X3 )
       != $true )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f27,f25]) ).

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

thf(f57,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( ( r @ ( sK0 @ X0 ) @ X1 )
       != $true )
      | ( $true != $true )
      | ( $true
       != ( r @ sK1 @ X2 ) )
      | ( $true
        = ( b @ ( sK0 @ X0 ) @ sK1 ) ) ),
    inference(constrained_superposition,[],[f27,f50]) ).

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

thf(f74,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ X0 ) @ X2 ) )
      | ( ( r @ ( sK0 @ X0 ) @ X1 )
       != $true )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true != $true )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ X0 ) ) )
      | ( ( r @ X1 @ X2 )
       != $true ) ),
    inference(constrained_superposition,[],[f27,f51]) ).

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

thf(f76,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( sK0 @ X0 ) @ sK1 ) )
      | ( ( r @ ( sK0 @ X0 ) @ X1 )
       != $true )
      | ( $true != $true )
      | ( $true
       != ( r @ X1 @ sK1 ) )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
    inference(constrained_superposition,[],[f75,f50]) ).

thf(f79,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( sK0 @ X0 ) @ X1 )
       != $true )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true
       != ( r @ X1 @ sK1 ) )
      | ( $true
        = ( b @ ( sK0 @ X0 ) @ sK1 ) )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f76]) ).

thf(f80,plain,
    ! [X0: $i] :
      ( ( $true
        = ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
    inference(extensionality_resolution,[],[f52,f49]) ).

thf(f81,plain,
    ! [X0: $i] :
      ( ( $true
        = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
      | ( $true
        = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
    inference(extensionality_resolution,[],[f52,f49]) ).

thf(f82,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
      | ( X0 = X1 ) ),
    inference(extensionality_resolution,[],[f52,f43]) ).

thf(f91,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(constrained_superposition,[],[f58,f80]) ).

thf(f92,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X2 ) )
      | ( $true != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
    inference(constrained_superposition,[],[f27,f80]) ).

thf(f94,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X2 ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
      | ( ( r @ X1 @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f92]) ).

thf(f95,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f91]) ).

thf(f97,definition,
    ( spl2_4
  <=> ! [X1: $i] :
        ( ( $true
         != ( r @ sK1 @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).

thf(f98,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( $true
         != ( r @ sK1 @ X1 ) ) )
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f97]) ).

thf(f100,definition,
    ( spl2_5
  <=> ( $true
      = ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).

thf(f101,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | spl2_5 ),
    inference(avatar_component_clause,[],[f100]) ).

thf(f103,definition,
    ( spl2_6
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

thf(f104,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f103]) ).

thf(f105,plain,
    ( spl2_4
    | ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f95,f103,f100,f97]) ).

thf(f106,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | spl2_5 ),
    inference(constrained_superposition,[],[f101,f51]) ).

thf(f109,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | spl2_5 ),
    inference(trivial_inequality_removal,[],[f106]) ).

thf(f115,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(constrained_superposition,[],[f94,f80]) ).

thf(f116,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
      | ( $true != $true )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(constrained_superposition,[],[f94,f50]) ).

thf(f119,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f116]) ).

thf(f122,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    inference(duplicate_literal_removal,[],[f115]) ).

thf(f123,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
    inference(trivial_inequality_removal,[],[f122]) ).

thf(f125,definition,
    ( spl2_7
  <=> ( $true
      = ( r @ ( sK0 @ sK1 ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

thf(f126,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | spl2_7 ),
    inference(avatar_component_clause,[],[f125]) ).

thf(f127,plain,
    ( spl2_6
    | spl2_4
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f119,f125,f97,f103]) ).

thf(f129,definition,
    ( spl2_8
  <=> ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).

thf(f130,plain,
    ( ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f129]) ).

thf(f132,definition,
    ( spl2_9
  <=> ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).

thf(f133,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | spl2_9 ),
    inference(avatar_component_clause,[],[f132]) ).

thf(f135,definition,
    ( spl2_10
  <=> ! [X1: $i] :
        ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).

thf(f136,plain,
    ( ! [X1: $i] :
        ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f135]) ).

thf(f137,plain,
    ( spl2_8
    | ~ spl2_9
    | spl2_10 ),
    inference(avatar_split_clause,[],[f123,f135,f132,f129]) ).

thf(f138,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true != $true )
    | spl2_7 ),
    inference(constrained_superposition,[],[f126,f50]) ).

thf(f141,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | spl2_7 ),
    inference(trivial_inequality_removal,[],[f138]) ).

thf(f143,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ sK1 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | spl2_7 ),
    inference(constrained_superposition,[],[f26,f141]) ).

thf(f144,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | spl2_7 ),
    inference(trivial_inequality_removal,[],[f143]) ).

thf(f149,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
      | ( $true != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
    inference(constrained_superposition,[],[f27,f81]) ).

thf(f151,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f149]) ).

thf(f161,plain,
    ! [X0: $i] :
      ( ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f82,f49]) ).

thf(f162,plain,
    ! [X0: $i] :
      ( ( $true
        = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
    inference(extensionality_resolution,[],[f82,f49]) ).

thf(f163,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
      | ( X0 = X1 ) ),
    inference(extensionality_resolution,[],[f82,f43]) ).

thf(f175,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( $true
       != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
      | ( $true
       != ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f26,f161]) ).

thf(f176,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
      | ( $true
       != ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f175]) ).

thf(f177,plain,
    ! [X0: $i] :
      ( ( $true
       != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f176,f161]) ).

thf(f178,plain,
    ! [X0: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( $true
       != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f177]) ).

thf(f179,plain,
    ! [X0: $i] :
      ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
      | ( $true
       != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f178]) ).

thf(f181,definition,
    ( spl2_11
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).

thf(f182,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_11 ),
    inference(avatar_component_clause,[],[f181]) ).

thf(f184,definition,
    ( spl2_12
  <=> ! [X0: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).

thf(f185,plain,
    ( ! [X0: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f184]) ).

thf(f186,plain,
    ( ~ spl2_11
    | spl2_12 ),
    inference(avatar_split_clause,[],[f179,f184,f181]) ).

thf(f187,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f151,f162]) ).

thf(f189,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true != $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
    inference(constrained_superposition,[],[f75,f162]) ).

thf(f190,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
    inference(constrained_superposition,[],[f58,f162]) ).

thf(f191,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
      | ( $true != $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
    inference(constrained_superposition,[],[f27,f162]) ).

thf(f192,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( $true
       != ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ ( sK0 @ sK1 ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f187]) ).

thf(f193,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f191]) ).

thf(f195,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
      | ( $true
       != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f190]) ).

thf(f196,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ sK1 @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f189]) ).

thf(f198,definition,
    ( spl2_13
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).

thf(f199,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_13 ),
    inference(avatar_component_clause,[],[f198]) ).

thf(f201,definition,
    ( spl2_14
  <=> ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).

thf(f202,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_14 ),
    inference(avatar_component_clause,[],[f201]) ).

thf(f203,plain,
    ( spl2_13
    | spl2_14 ),
    inference(avatar_split_clause,[],[f192,f201,f198]) ).

thf(f208,definition,
    ( spl2_16
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).

thf(f209,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f208]) ).

thf(f212,definition,
    ( spl2_17
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).

thf(f213,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f212]) ).

thf(f215,definition,
    ( spl2_18
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ sK1 @ X1 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).

thf(f216,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
        | ( $true
         != ( r @ sK1 @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_18 ),
    inference(avatar_component_clause,[],[f215]) ).

thf(f217,plain,
    ( spl2_17
    | spl2_18 ),
    inference(avatar_split_clause,[],[f195,f215,f212]) ).

thf(f219,definition,
    ( spl2_19
  <=> ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).

thf(f220,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f219]) ).

thf(f222,definition,
    ( spl2_20
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ sK1 @ X1 ) )
        | ( $true
         != ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).

thf(f223,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ sK1 @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_20 ),
    inference(avatar_component_clause,[],[f222]) ).

thf(f224,plain,
    ( spl2_19
    | spl2_20 ),
    inference(avatar_split_clause,[],[f196,f222,f219]) ).

thf(f227,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_19 ),
    inference(constrained_superposition,[],[f26,f220]) ).

thf(f228,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_19 ),
    inference(trivial_inequality_removal,[],[f227]) ).

thf(f238,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_13 ),
    inference(constrained_superposition,[],[f199,f162]) ).

thf(f242,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_13 ),
    inference(duplicate_literal_removal,[],[f238]) ).

thf(f243,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_13 ),
    inference(trivial_inequality_removal,[],[f242]) ).

thf(f249,definition,
    ( spl2_21
  <=> ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).

thf(f250,plain,
    ( ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_21 ),
    inference(avatar_component_clause,[],[f249]) ).

thf(f252,definition,
    ( spl2_22
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).

thf(f253,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_22 ),
    inference(avatar_component_clause,[],[f252]) ).

thf(f255,definition,
    ( spl2_23
  <=> ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).

thf(f256,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_23 ),
    inference(avatar_component_clause,[],[f255]) ).

thf(f257,plain,
    ( spl2_21
    | ~ spl2_22
    | ~ spl2_23
    | ~ spl2_13 ),
    inference(avatar_split_clause,[],[f243,f198,f255,f252,f249]) ).

thf(f279,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( $true
       != ( r @ X3 @ X0 ) )
      | ( $true != $true )
      | ( $true
       != ( r @ X3 @ X1 ) )
      | ( X2 = X3 )
      | ( ( b @ X0 @ X1 )
        = $true )
      | ( $true
        = ( b @ X2 @ X3 ) )
      | ( $true
       != ( r @ X2 @ X0 ) ) ),
    inference(constrained_superposition,[],[f56,f25]) ).

thf(f280,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( sK0 @ X0 ) @ sK1 ) )
      | ( X1 = X2 )
      | ( $true
       != ( r @ X2 @ ( sK0 @ X0 ) ) )
      | ( $true
       != ( r @ X2 @ sK1 ) )
      | ( $true != $true )
      | ( $true
       != ( r @ X1 @ ( sK0 @ X0 ) ) )
      | ( ( b @ X1 @ X2 )
        = $true ) ),
    inference(constrained_superposition,[],[f56,f50]) ).

thf(f286,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X2 )
        = $true )
      | ( $true != $true )
      | ( $true
       != ( r @ X2 @ sK1 ) )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ X0 ) ) )
      | ( X1 = X2 )
      | ( $true
       != ( r @ X1 @ sK1 ) )
      | ( $true
       != ( r @ X2 @ ( sK0 @ X0 ) ) ) ),
    inference(constrained_superposition,[],[f56,f51]) ).

thf(f289,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X3 @ X1 ) )
      | ( X0 = X1 )
      | ( ( b @ X0 @ X1 )
        = $true )
      | ( X2 = X3 )
      | ( $true
       != ( r @ X3 @ X0 ) )
      | ( $true
        = ( b @ X2 @ X3 ) )
      | ( $true
       != ( r @ X2 @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f279]) ).

thf(f290,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X2 @ ( sK0 @ X0 ) ) )
      | ( ( b @ X1 @ X2 )
        = $true )
      | ( X1 = X2 )
      | ( $true
       != ( r @ X2 @ sK1 ) )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ X0 ) ) )
      | ( $true
       != ( r @ X1 @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f286]) ).

thf(f294,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X2 @ ( sK0 @ X0 ) ) )
      | ( $true
        = ( b @ ( sK0 @ X0 ) @ sK1 ) )
      | ( $true
       != ( r @ X2 @ sK1 ) )
      | ( ( b @ X1 @ X2 )
        = $true )
      | ( $true
       != ( r @ X1 @ ( sK0 @ X0 ) ) )
      | ( X1 = X2 ) ),
    inference(trivial_inequality_removal,[],[f280]) ).

thf(f295,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X0 @ X1 )
        = $true )
      | ( $true
       != ( r @ X3 @ X2 ) )
      | ( X1 = X2 )
      | ( X0 = X1 )
      | ( ( r @ X0 @ X2 )
       != $true )
      | ( $true
        = ( b @ X3 @ X0 ) )
      | ( $true != $true )
      | ( $true
        = ( b @ X2 @ X1 ) )
      | ( X0 = X3 ) ),
    inference(constrained_superposition,[],[f289,f25]) ).

thf(f310,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X3 @ X2 ) )
      | ( X1 = X2 )
      | ( $true
        = ( b @ X3 @ X0 ) )
      | ( X0 = X3 )
      | ( ( r @ X0 @ X2 )
       != $true )
      | ( $true
        = ( b @ X2 @ X1 ) )
      | ( ( b @ X0 @ X1 )
        = $true )
      | ( X0 = X1 ) ),
    inference(trivial_inequality_removal,[],[f295]) ).

thf(f311,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X2 )
        = $true )
      | ( $true
        = ( b @ X0 @ X3 ) )
      | ( X2 = X3 )
      | ( X1 = X2 )
      | ( $true
       != ( r @ X3 @ X1 ) )
      | ( $true != $true )
      | ( ( b @ X3 @ X2 )
        = $true )
      | ( ( b @ X0 @ X1 )
        = $true )
      | ( X0 = X1 )
      | ( X0 = X3 ) ),
    inference(constrained_superposition,[],[f310,f25]) ).

thf(f320,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X3 @ X1 ) )
      | ( ( b @ X1 @ X2 )
        = $true )
      | ( X2 = X3 )
      | ( $true
        = ( b @ X0 @ X3 ) )
      | ( ( b @ X3 @ X2 )
        = $true )
      | ( X0 = X1 )
      | ( X0 = X3 )
      | ( X1 = X2 )
      | ( ( b @ X0 @ X1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f311]) ).

thf(f335,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ X1 @ sK1 ) )
      | ( ( sK0 @ ( sK0 @ sK1 ) )
        = X1 )
      | ( $true != $true )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
        = ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    inference(constrained_superposition,[],[f290,f162]) ).

thf(f338,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ X1 @ sK1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
        = ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( ( sK0 @ ( sK0 @ sK1 ) )
        = X1 )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f335]) ).

thf(f347,definition,
    ( spl2_24
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).

thf(f348,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_24 ),
    inference(avatar_component_clause,[],[f347]) ).

thf(f350,definition,
    ( spl2_25
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).

thf(f351,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_25 ),
    inference(avatar_component_clause,[],[f350]) ).

thf(f353,definition,
    ( spl2_26
  <=> ! [X1: $i] :
        ( ( $true
         != ( r @ X1 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).

thf(f354,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( r @ X1 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f353]) ).

thf(f355,plain,
    ( spl2_24
    | ~ spl2_25
    | spl2_26 ),
    inference(avatar_split_clause,[],[f338,f353,f350,f347]) ).

thf(f356,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_25 ),
    inference(constrained_superposition,[],[f351,f50]) ).

thf(f359,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_25 ),
    inference(trivial_inequality_removal,[],[f356]) ).

thf(f364,plain,
    ! [X0: $i] :
      ( ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
       != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true != $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    inference(constrained_superposition,[],[f79,f162]) ).

thf(f365,plain,
    ! [X0: $i] :
      ( ( $true
       != ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
      | ( $true != $true )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
       != $true )
      | ( $true
        = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
      | ( $true
        = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
    inference(constrained_superposition,[],[f79,f81]) ).

thf(f370,plain,
    ! [X0: $i] :
      ( ( $true
        = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
      | ( $true
       != ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
      | ( $true
        = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
      | ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
       != $true )
      | ( $true
        = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f365]) ).

thf(f374,plain,
    ! [X0: $i] :
      ( ( $true
        = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
      | ( $true
       != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f364]) ).

thf(f377,plain,
    ! [X0: $i] :
      ( ( $true
        = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    inference(extensionality_resolution,[],[f163,f49]) ).

thf(f481,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
      | ( $true != $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    inference(constrained_superposition,[],[f27,f377]) ).

thf(f495,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
      | ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
      | ( ( r @ X1 @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f481]) ).

thf(f503,definition,
    ( spl2_29
  <=> ( $true
      = ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).

thf(f504,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_29 ),
    inference(avatar_component_clause,[],[f503]) ).

thf(f510,definition,
    ( spl2_31
  <=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).

thf(f511,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ~ spl2_31 ),
    inference(avatar_component_clause,[],[f510]) ).

thf(f517,definition,
    ( spl2_33
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).

thf(f518,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_33 ),
    inference(avatar_component_clause,[],[f517]) ).

thf(f527,definition,
    ( spl2_36
  <=> ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).

thf(f528,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_36 ),
    inference(avatar_component_clause,[],[f527]) ).

thf(f534,definition,
    ( spl2_38
  <=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).

thf(f535,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_38 ),
    inference(avatar_component_clause,[],[f534]) ).

thf(f538,definition,
    ( spl2_39
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).

thf(f539,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | spl2_39 ),
    inference(avatar_component_clause,[],[f538]) ).

thf(f544,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_14
    | ~ spl2_19 ),
    inference(constrained_superposition,[],[f228,f202]) ).

thf(f545,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_7
    | ~ spl2_14 ),
    inference(constrained_superposition,[],[f144,f202]) ).

thf(f548,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_7
    | ~ spl2_14 ),
    inference(trivial_inequality_removal,[],[f545]) ).

thf(f549,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_14
    | ~ spl2_19 ),
    inference(trivial_inequality_removal,[],[f544]) ).

thf(f550,plain,
    ( $false
    | spl2_7
    | ~ spl2_14
    | ~ spl2_17 ),
    inference(forward_subsumption_resolution,[],[f548,f213]) ).

thf(f551,plain,
    ( spl2_7
    | ~ spl2_14
    | ~ spl2_17 ),
    inference(avatar_contradiction_clause,[],[f550]) ).

thf(f552,plain,
    ( $false
    | spl2_5
    | ~ spl2_14
    | ~ spl2_19 ),
    inference(forward_subsumption_resolution,[],[f549,f109]) ).

thf(f553,plain,
    ( spl2_5
    | ~ spl2_14
    | ~ spl2_19 ),
    inference(avatar_contradiction_clause,[],[f552]) ).

thf(f555,definition,
    ( spl2_41
  <=> ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).

thf(f556,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_41 ),
    inference(avatar_component_clause,[],[f555]) ).

thf(f566,definition,
    ( spl2_44
  <=> ! [X1: $i] :
        ( ( $true
          = ( b @ X1 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ X1 @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).

thf(f567,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( r @ X1 @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_44 ),
    inference(avatar_component_clause,[],[f566]) ).

thf(f569,definition,
    ( spl2_45
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).

thf(f570,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_45 ),
    inference(avatar_component_clause,[],[f569]) ).

thf(f577,definition,
    ( spl2_47
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).

thf(f578,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_47 ),
    inference(avatar_component_clause,[],[f577]) ).

thf(f579,plain,
    ( spl2_47
    | spl2_17
    | spl2_19 ),
    inference(avatar_split_clause,[],[f374,f219,f212,f577]) ).

thf(f580,plain,
    ( spl2_17
    | spl2_25 ),
    inference(avatar_split_clause,[],[f359,f350,f212]) ).

thf(f583,definition,
    ( spl2_48
  <=> ( $true
      = ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).

thf(f584,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_48 ),
    inference(avatar_component_clause,[],[f583]) ).

thf(f598,definition,
    ( spl2_52
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_52])],[avatar_definition]) ).

thf(f599,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
         != $true ) )
    | ~ spl2_52 ),
    inference(avatar_component_clause,[],[f598]) ).

thf(f600,plain,
    ( spl2_41
    | spl2_48
    | spl2_52 ),
    inference(avatar_split_clause,[],[f370,f598,f583,f555]) ).

thf(f609,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | spl2_7 ),
    inference(constrained_superposition,[],[f126,f50]) ).

thf(f612,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | spl2_7 ),
    inference(trivial_inequality_removal,[],[f609]) ).

thf(f621,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_29 ),
    inference(constrained_superposition,[],[f504,f51]) ).

thf(f624,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_29 ),
    inference(trivial_inequality_removal,[],[f621]) ).

thf(f626,plain,
    ( spl2_38
    | spl2_29 ),
    inference(avatar_split_clause,[],[f624,f503,f534]) ).

thf(f627,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | spl2_39 ),
    inference(constrained_superposition,[],[f539,f50]) ).

thf(f630,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | spl2_39 ),
    inference(trivial_inequality_removal,[],[f627]) ).

thf(f632,plain,
    ( spl2_31
    | spl2_39 ),
    inference(avatar_split_clause,[],[f630,f538,f510]) ).

thf(f633,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_31 ),
    inference(constrained_superposition,[],[f176,f511]) ).

thf(f634,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_31 ),
    inference(constrained_superposition,[],[f26,f511]) ).

thf(f635,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_31 ),
    inference(trivial_inequality_removal,[],[f633]) ).

thf(f636,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_31 ),
    inference(trivial_inequality_removal,[],[f634]) ).

thf(f638,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | spl2_36 ),
    inference(constrained_superposition,[],[f528,f81]) ).

thf(f643,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_36 ),
    inference(trivial_inequality_removal,[],[f638]) ).

thf(f646,definition,
    ( spl2_54
  <=> ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).

thf(f647,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_54 ),
    inference(avatar_component_clause,[],[f646]) ).

thf(f649,definition,
    ( spl2_55
  <=> ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).

thf(f650,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_55 ),
    inference(avatar_component_clause,[],[f649]) ).

thf(f652,plain,
    ( spl2_54
    | spl2_36 ),
    inference(avatar_split_clause,[],[f643,f527,f646]) ).

thf(f653,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f98,f81]) ).

thf(f659,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f653]) ).

thf(f700,definition,
    ( spl2_56
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).

thf(f701,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_56 ),
    inference(avatar_component_clause,[],[f700]) ).

thf(f704,definition,
    ( spl2_57
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_57])],[avatar_definition]) ).

thf(f705,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_57 ),
    inference(avatar_component_clause,[],[f704]) ).

thf(f711,definition,
    ( spl2_59
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).

thf(f712,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_59 ),
    inference(avatar_component_clause,[],[f711]) ).

thf(f715,definition,
    ( spl2_60
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).

thf(f716,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_60 ),
    inference(avatar_component_clause,[],[f715]) ).

thf(f719,definition,
    ( spl2_61
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_61])],[avatar_definition]) ).

thf(f720,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_61 ),
    inference(avatar_component_clause,[],[f719]) ).

thf(f722,definition,
    ( spl2_62
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_62])],[avatar_definition]) ).

thf(f723,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_62 ),
    inference(avatar_component_clause,[],[f722]) ).

thf(f727,definition,
    ( spl2_63
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_63])],[avatar_definition]) ).

thf(f728,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_63 ),
    inference(avatar_component_clause,[],[f727]) ).

thf(f729,plain,
    ( ~ spl2_19
    | spl2_63
    | ~ spl2_31 ),
    inference(avatar_split_clause,[],[f635,f510,f727,f219]) ).

thf(f750,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_31 ),
    inference(constrained_superposition,[],[f636,f161]) ).

thf(f753,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_31 ),
    inference(trivial_inequality_removal,[],[f750]) ).

thf(f756,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_17
    | ~ spl2_31 ),
    inference(forward_subsumption_resolution,[],[f753,f213]) ).

thf(f757,plain,
    ( spl2_63
    | ~ spl2_17
    | ~ spl2_31 ),
    inference(avatar_split_clause,[],[f756,f510,f212,f727]) ).

thf(f769,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f659,f51]) ).

thf(f772,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f769]) ).

thf(f774,plain,
    ( spl2_45
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f772,f97,f569]) ).

thf(f793,definition,
    ( spl2_64
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_64])],[avatar_definition]) ).

thf(f794,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_64 ),
    inference(avatar_component_clause,[],[f793]) ).

thf(f796,definition,
    ( spl2_65
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).

thf(f797,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_65 ),
    inference(avatar_component_clause,[],[f796]) ).

thf(f811,definition,
    ( spl2_67
  <=> ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).

thf(f812,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_67 ),
    inference(avatar_component_clause,[],[f811]) ).

thf(f817,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_16 ),
    inference(constrained_superposition,[],[f26,f209]) ).

thf(f818,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_16 ),
    inference(trivial_inequality_removal,[],[f817]) ).

thf(f823,plain,
    ( spl2_41
    | spl2_7 ),
    inference(avatar_split_clause,[],[f612,f125,f555]) ).

thf(f825,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | spl2_5 ),
    inference(constrained_superposition,[],[f101,f51]) ).

thf(f827,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | spl2_5 ),
    inference(trivial_inequality_removal,[],[f825]) ).

thf(f842,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_16 ),
    inference(constrained_superposition,[],[f818,f209]) ).

thf(f843,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_16
    | ~ spl2_17 ),
    inference(constrained_superposition,[],[f818,f213]) ).

thf(f846,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_16
    | ~ spl2_17 ),
    inference(trivial_inequality_removal,[],[f843]) ).

thf(f848,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_16 ),
    inference(trivial_inequality_removal,[],[f842]) ).

thf(f849,plain,
    ( $false
    | ~ spl2_16
    | ~ spl2_17
    | ~ spl2_48 ),
    inference(forward_subsumption_resolution,[],[f846,f584]) ).

thf(f850,plain,
    ( ~ spl2_16
    | ~ spl2_17
    | ~ spl2_48 ),
    inference(avatar_contradiction_clause,[],[f849]) ).

thf(f852,plain,
    ( spl2_48
    | spl2_5 ),
    inference(avatar_split_clause,[],[f827,f100,f583]) ).

thf(f862,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_19 ),
    inference(constrained_superposition,[],[f26,f220]) ).

thf(f863,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_19 ),
    inference(trivial_inequality_removal,[],[f862]) ).

thf(f865,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_19 ),
    inference(constrained_superposition,[],[f863,f161]) ).

thf(f869,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_19 ),
    inference(trivial_inequality_removal,[],[f865]) ).

thf(f870,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_19
    | ~ spl2_38 ),
    inference(constrained_superposition,[],[f869,f535]) ).

thf(f873,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_19
    | ~ spl2_38 ),
    inference(trivial_inequality_removal,[],[f870]) ).

thf(f875,plain,
    ( spl2_63
    | ~ spl2_19
    | ~ spl2_38 ),
    inference(avatar_split_clause,[],[f873,f534,f219,f727]) ).

thf(f908,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      | ( $true
       != ( 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
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f495,f377]) ).

thf(f919,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      | ( $true != $true )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
      | ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    inference(duplicate_literal_removal,[],[f908]) ).

thf(f920,plain,
    ! [X0: $i,X1: $i] :
      ( ( $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 ) ) ),
    inference(trivial_inequality_removal,[],[f919]) ).

thf(f924,definition,
    ( spl2_69
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_69])],[avatar_definition]) ).

thf(f925,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_69 ),
    inference(avatar_component_clause,[],[f924]) ).

thf(f928,definition,
    ( spl2_70
  <=> ! [X1: $i] :
        ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_70])],[avatar_definition]) ).

thf(f929,plain,
    ( ! [X1: $i] :
        ( $true
       != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
    | ~ spl2_70 ),
    inference(avatar_component_clause,[],[f928]) ).

thf(f931,definition,
    ( spl2_71
  <=> ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_71])],[avatar_definition]) ).

thf(f932,plain,
    ( ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_71 ),
    inference(avatar_component_clause,[],[f931]) ).

thf(f934,definition,
    ( spl2_72
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_72])],[avatar_definition]) ).

thf(f935,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_72 ),
    inference(avatar_component_clause,[],[f934]) ).

thf(f936,plain,
    ( spl2_70
    | spl2_71
    | ~ spl2_72 ),
    inference(avatar_split_clause,[],[f920,f934,f931,f928]) ).

thf(f952,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X1 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_45 ),
    inference(constrained_superposition,[],[f26,f570]) ).

thf(f954,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
    | ~ spl2_45 ),
    inference(trivial_inequality_removal,[],[f952]) ).

thf(f995,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true != $true )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_24
    | ~ spl2_45 ),
    inference(constrained_superposition,[],[f954,f348]) ).

thf(f1001,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_24
    | ~ spl2_45 ),
    inference(duplicate_literal_removal,[],[f995]) ).

thf(f1002,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_24
    | ~ spl2_45 ),
    inference(trivial_inequality_removal,[],[f1001]) ).

thf(f1005,definition,
    ( spl2_73
  <=> ! [X0: $i] :
        ( $true
        = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_73])],[avatar_definition]) ).

thf(f1006,plain,
    ( ! [X0: $i] :
        ( $true
        = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_73 ),
    inference(avatar_component_clause,[],[f1005]) ).

thf(f1007,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_14 ),
    inference(avatar_component_clause,[],[f201]) ).

thf(f1008,plain,
    ( spl2_73
    | ~ spl2_14
    | ~ spl2_24
    | ~ spl2_45 ),
    inference(avatar_split_clause,[],[f1002,f569,f347,f201,f1005]) ).

thf(f1028,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_41 ),
    inference(constrained_superposition,[],[f26,f556]) ).

thf(f1029,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_41 ),
    inference(trivial_inequality_removal,[],[f1028]) ).

thf(f1030,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_48 ),
    inference(constrained_superposition,[],[f26,f584]) ).

thf(f1031,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_48 ),
    inference(trivial_inequality_removal,[],[f1030]) ).

thf(f1051,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_55 ),
    inference(constrained_superposition,[],[f80,f650]) ).

thf(f1057,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_55 ),
    inference(constrained_superposition,[],[f161,f650]) ).

thf(f1065,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_18
    | ~ spl2_55 ),
    inference(constrained_superposition,[],[f216,f650]) ).

thf(f1066,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_24
    | ~ spl2_55 ),
    inference(constrained_superposition,[],[f348,f650]) ).

thf(f1107,definition,
    ( spl2_75
  <=> ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).

thf(f1108,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_75 ),
    inference(avatar_component_clause,[],[f1107]) ).

thf(f1110,definition,
    ( spl2_76
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).

thf(f1111,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_76 ),
    inference(avatar_component_clause,[],[f1110]) ).

thf(f1113,definition,
    ( spl2_77
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).

thf(f1114,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_77 ),
    inference(avatar_component_clause,[],[f1113]) ).

thf(f1118,definition,
    ( spl2_78
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).

thf(f1119,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_78 ),
    inference(avatar_component_clause,[],[f1118]) ).

thf(f1126,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_23 ),
    inference(avatar_component_clause,[],[f255]) ).

thf(f1128,definition,
    ( spl2_79
  <=> ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).

thf(f1129,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_79 ),
    inference(avatar_component_clause,[],[f1128]) ).

thf(f1131,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_16
    | ~ spl2_55 ),
    inference(forward_subsumption_resolution,[],[f1051,f848]) ).

thf(f1144,plain,
    ( $false
    | spl2_9
    | ~ spl2_16
    | ~ spl2_55 ),
    inference(forward_subsumption_resolution,[],[f1131,f133]) ).

thf(f1145,plain,
    ( spl2_9
    | ~ spl2_16
    | ~ spl2_55 ),
    inference(avatar_contradiction_clause,[],[f1144]) ).

thf(f1147,definition,
    ( spl2_80
  <=> ( $true
      = ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_80])],[avatar_definition]) ).

thf(f1148,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_80 ),
    inference(avatar_component_clause,[],[f1147]) ).

thf(f1150,definition,
    ( spl2_81
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).

thf(f1151,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_81 ),
    inference(avatar_component_clause,[],[f1150]) ).

thf(f1153,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f181]) ).

thf(f1155,definition,
    ( spl2_82
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ X1 @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).

thf(f1156,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ X1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_82 ),
    inference(avatar_component_clause,[],[f1155]) ).

thf(f1158,plain,
    ( spl2_19
    | spl2_11
    | ~ spl2_24
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f1066,f649,f347,f181,f219]) ).

thf(f1159,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_22
    | ~ spl2_55 ),
    inference(forward_subsumption_resolution,[],[f1057,f253]) ).

thf(f1166,plain,
    ( spl2_81
    | ~ spl2_80
    | spl2_11
    | ~ spl2_18
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f1065,f649,f215,f181,f1147,f1150]) ).

thf(f1169,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f1159,f649,f252,f181]) ).

thf(f1171,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_10 ),
    inference(constrained_superposition,[],[f136,f81]) ).

thf(f1177,plain,
    ( ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
    | ~ spl2_10 ),
    inference(trivial_inequality_removal,[],[f1171]) ).

thf(f1182,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_14 ),
    inference(constrained_superposition,[],[f26,f202]) ).

thf(f1183,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_14 ),
    inference(trivial_inequality_removal,[],[f1182]) ).

thf(f1184,plain,
    ( spl2_79
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f1183,f201,f1128]) ).

thf(f1212,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
         != ( sK0 @ X0 ) )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_67 ),
    inference(constrained_superposition,[],[f43,f812]) ).

thf(f1255,definition,
    ( spl2_84
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).

thf(f1256,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_84 ),
    inference(avatar_component_clause,[],[f1255]) ).

thf(f1258,definition,
    ( spl2_85
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).

thf(f1259,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_85 ),
    inference(avatar_component_clause,[],[f1258]) ).

thf(f1264,definition,
    ( spl2_86
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_86])],[avatar_definition]) ).

thf(f1265,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_86 ),
    inference(avatar_component_clause,[],[f1264]) ).

thf(f1267,definition,
    ( spl2_87
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_87])],[avatar_definition]) ).

thf(f1268,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_87 ),
    inference(avatar_component_clause,[],[f1267]) ).

thf(f1275,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_69 ),
    inference(avatar_component_clause,[],[f924]) ).

thf(f1277,definition,
    ( spl2_88
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).

thf(f1278,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_88 ),
    inference(avatar_component_clause,[],[f1277]) ).

thf(f1280,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_64 ),
    inference(avatar_component_clause,[],[f793]) ).

thf(f1282,definition,
    ( spl2_89
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_89])],[avatar_definition]) ).

thf(f1283,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_89 ),
    inference(avatar_component_clause,[],[f1282]) ).

thf(f1301,plain,
    ( ( ( sK0 @ sK1 )
      = sK1 )
    | ~ spl2_67 ),
    inference(equality_resolution,[],[f1212]) ).

thf(f1302,plain,
    ( $false
    | ~ spl2_67 ),
    inference(forward_subsumption_resolution,[],[f1301,f49]) ).

thf(f1303,plain,
    ~ spl2_67,
    inference(avatar_contradiction_clause,[],[f1302]) ).

thf(f1307,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | spl2_80 ),
    inference(constrained_superposition,[],[f1148,f51]) ).

thf(f1309,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_80 ),
    inference(trivial_inequality_removal,[],[f1307]) ).

thf(f1321,plain,
    ( ( $true != $true )
    | ~ spl2_10
    | spl2_14 ),
    inference(constrained_superposition,[],[f1007,f1177]) ).

thf(f1324,plain,
    ( $false
    | ~ spl2_10
    | spl2_14 ),
    inference(trivial_inequality_removal,[],[f1321]) ).

thf(f1325,plain,
    ( ~ spl2_10
    | spl2_14 ),
    inference(avatar_contradiction_clause,[],[f1324]) ).

thf(f1353,definition,
    ( spl2_90
  <=> ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_90])],[avatar_definition]) ).

thf(f1354,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_90 ),
    inference(avatar_component_clause,[],[f1353]) ).

thf(f1356,definition,
    ( spl2_91
  <=> ! [X1: $i] :
        ( ( $true
          = ( b @ X1 @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_91])],[avatar_definition]) ).

thf(f1357,plain,
    ( ! [X1: $i] :
        ( ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 ) )
    | ~ spl2_91 ),
    inference(avatar_component_clause,[],[f1356]) ).

thf(f1360,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ sK1 )
      = sK1 )
    | ( $true != $true )
    | spl2_23 ),
    inference(constrained_superposition,[],[f256,f52]) ).

thf(f1364,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ sK1 )
      = sK1 )
    | spl2_23 ),
    inference(trivial_inequality_removal,[],[f1360]) ).

thf(f1368,plain,
    ( ( ( sK0 @ sK1 )
      = sK1 )
    | spl2_14
    | spl2_23 ),
    inference(forward_subsumption_resolution,[],[f1364,f1007]) ).

thf(f1370,plain,
    ( $false
    | spl2_14
    | spl2_23 ),
    inference(forward_subsumption_resolution,[],[f1368,f49]) ).

thf(f1371,plain,
    ( spl2_14
    | spl2_23 ),
    inference(avatar_contradiction_clause,[],[f1370]) ).

thf(f1427,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_8
    | ~ spl2_48 ),
    inference(constrained_superposition,[],[f1031,f130]) ).

thf(f1430,plain,
    ( ! [X0: $i] :
        ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
       != $true )
    | ~ spl2_8
    | ~ spl2_48 ),
    inference(trivial_inequality_removal,[],[f1427]) ).

thf(f1432,plain,
    ( ( $true != $true )
    | ~ spl2_8
    | ~ spl2_19
    | ~ spl2_48 ),
    inference(constrained_superposition,[],[f1430,f220]) ).

thf(f1433,plain,
    ( ( $true != $true )
    | ~ spl2_8
    | ~ spl2_38
    | ~ spl2_48 ),
    inference(constrained_superposition,[],[f1430,f535]) ).

thf(f1436,plain,
    ( $false
    | ~ spl2_8
    | ~ spl2_19
    | ~ spl2_48 ),
    inference(trivial_inequality_removal,[],[f1432]) ).

thf(f1437,plain,
    ( ~ spl2_8
    | ~ spl2_19
    | ~ spl2_48 ),
    inference(avatar_contradiction_clause,[],[f1436]) ).

thf(f1438,plain,
    ( $false
    | ~ spl2_8
    | ~ spl2_38
    | ~ spl2_48 ),
    inference(trivial_inequality_removal,[],[f1433]) ).

thf(f1439,plain,
    ( ~ spl2_8
    | ~ spl2_38
    | ~ spl2_48 ),
    inference(avatar_contradiction_clause,[],[f1438]) ).

thf(f1441,plain,
    ( spl2_19
    | spl2_80 ),
    inference(avatar_split_clause,[],[f1309,f1147,f219]) ).

thf(f1443,definition,
    ( spl2_92
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_92])],[avatar_definition]) ).

thf(f1444,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_92 ),
    inference(avatar_component_clause,[],[f1443]) ).

thf(f1452,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_10 ),
    inference(constrained_superposition,[],[f136,f81]) ).

thf(f1454,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_10 ),
    inference(constrained_superposition,[],[f136,f50]) ).

thf(f1459,plain,
    ( ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
    | ~ spl2_10 ),
    inference(trivial_inequality_removal,[],[f1452]) ).

thf(f1460,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_10 ),
    inference(trivial_inequality_removal,[],[f1454]) ).

thf(f1473,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
    | ~ spl2_10
    | ~ spl2_41 ),
    inference(constrained_superposition,[],[f1029,f1459]) ).

thf(f1474,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X1 ) )
        | ( $true != $true ) )
    | ~ spl2_10 ),
    inference(constrained_superposition,[],[f26,f1459]) ).

thf(f1475,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
    | ~ spl2_10 ),
    inference(trivial_inequality_removal,[],[f1474]) ).

thf(f1476,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
    | ~ spl2_10
    | ~ spl2_41 ),
    inference(trivial_inequality_removal,[],[f1473]) ).

thf(f1486,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_12 ),
    inference(constrained_superposition,[],[f79,f185]) ).

thf(f1506,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_12 ),
    inference(trivial_inequality_removal,[],[f1486]) ).

thf(f1512,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_10
    | ~ spl2_12
    | ~ spl2_41 ),
    inference(forward_subsumption_resolution,[],[f1506,f1476]) ).

thf(f1515,definition,
    ( spl2_94
  <=> ! [X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_94])],[avatar_definition]) ).

thf(f1516,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_94 ),
    inference(avatar_component_clause,[],[f1515]) ).

thf(f1518,plain,
    ( ~ spl2_25
    | spl2_73
    | ~ spl2_80
    | ~ spl2_10
    | ~ spl2_12
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f1512,f555,f184,f135,f1147,f1005,f350]) ).

thf(f1533,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f27,f728]) ).

thf(f1542,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f1533]) ).

thf(f1550,plain,
    ( spl2_86
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f1542,f727,f1264]) ).

thf(f1554,definition,
    ( spl2_95
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_95])],[avatar_definition]) ).

thf(f1555,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_95 ),
    inference(avatar_component_clause,[],[f1554]) ).

thf(f1558,definition,
    ( spl2_96
  <=> ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).

thf(f1559,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_96 ),
    inference(avatar_component_clause,[],[f1558]) ).

thf(f1561,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_78 ),
    inference(constrained_superposition,[],[f1119,f162]) ).

thf(f1566,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_78 ),
    inference(trivial_inequality_removal,[],[f1561]) ).

thf(f1569,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | spl2_76 ),
    inference(constrained_superposition,[],[f1111,f162]) ).

thf(f1576,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_76 ),
    inference(trivial_inequality_removal,[],[f1569]) ).

thf(f1579,definition,
    ( spl2_97
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_97])],[avatar_definition]) ).

thf(f1580,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_97 ),
    inference(avatar_component_clause,[],[f1579]) ).

thf(f1583,definition,
    ( spl2_98
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_98])],[avatar_definition]) ).

thf(f1584,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_98 ),
    inference(avatar_component_clause,[],[f1583]) ).

thf(f1586,plain,
    ( spl2_97
    | spl2_76 ),
    inference(avatar_split_clause,[],[f1576,f1110,f1579]) ).

thf(f1611,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_10 ),
    inference(constrained_superposition,[],[f1475,f161]) ).

thf(f1617,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_10
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f1475,f1006]) ).

thf(f1619,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_10
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f1617]) ).

thf(f1620,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_10 ),
    inference(trivial_inequality_removal,[],[f1611]) ).

thf(f1626,plain,
    ( $false
    | ~ spl2_10
    | ~ spl2_41
    | ~ spl2_73 ),
    inference(forward_subsumption_resolution,[],[f1619,f556]) ).

thf(f1627,plain,
    ( ~ spl2_10
    | ~ spl2_41
    | ~ spl2_73 ),
    inference(avatar_contradiction_clause,[],[f1626]) ).

thf(f1628,plain,
    ( ! [X0: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
    | ~ spl2_10 ),
    inference(forward_subsumption_resolution,[],[f1620,f1459]) ).

thf(f1631,plain,
    ( spl2_12
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f1628,f135,f184]) ).

thf(f1635,definition,
    ( spl2_99
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_99])],[avatar_definition]) ).

thf(f1636,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_99 ),
    inference(avatar_component_clause,[],[f1635]) ).

thf(f1638,plain,
    ( spl2_33
    | spl2_78 ),
    inference(avatar_split_clause,[],[f1566,f1118,f517]) ).

thf(f1639,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_10
    | ~ spl2_19 ),
    inference(constrained_superposition,[],[f1475,f220]) ).

thf(f1642,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_10
    | ~ spl2_19 ),
    inference(trivial_inequality_removal,[],[f1639]) ).

thf(f1643,plain,
    ( $false
    | ~ spl2_10
    | ~ spl2_19
    | ~ spl2_41 ),
    inference(forward_subsumption_resolution,[],[f1642,f556]) ).

thf(f1644,plain,
    ( ~ spl2_10
    | ~ spl2_19
    | ~ spl2_41 ),
    inference(avatar_contradiction_clause,[],[f1643]) ).

thf(f1649,plain,
    ( spl2_41
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f1460,f135,f555]) ).

thf(f1650,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_41 ),
    inference(constrained_superposition,[],[f26,f556]) ).

thf(f1651,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_41 ),
    inference(trivial_inequality_removal,[],[f1650]) ).

thf(f1661,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_14
    | ~ spl2_41 ),
    inference(constrained_superposition,[],[f1651,f202]) ).

thf(f1666,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_14
    | ~ spl2_41 ),
    inference(trivial_inequality_removal,[],[f1661]) ).

thf(f1669,plain,
    ( $false
    | ~ spl2_14
    | ~ spl2_17
    | ~ spl2_41 ),
    inference(forward_subsumption_resolution,[],[f1666,f213]) ).

thf(f1670,plain,
    ( ~ spl2_14
    | ~ spl2_17
    | ~ spl2_41 ),
    inference(avatar_contradiction_clause,[],[f1669]) ).

thf(f1676,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_8 ),
    inference(constrained_superposition,[],[f176,f130]) ).

thf(f1677,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
        | ( $true != $true ) )
    | ~ spl2_8 ),
    inference(constrained_superposition,[],[f26,f130]) ).

thf(f1678,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
        | ( $true
         != ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_8 ),
    inference(trivial_inequality_removal,[],[f1677]) ).

thf(f1680,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_8 ),
    inference(trivial_inequality_removal,[],[f1676]) ).

thf(f1681,plain,
    ( ! [X0: $i] :
        ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
        = $true )
    | ~ spl2_8
    | ~ spl2_14 ),
    inference(forward_subsumption_resolution,[],[f1680,f202]) ).

thf(f1682,plain,
    ( spl2_12
    | ~ spl2_8
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f1681,f201,f129,f184]) ).

thf(f1702,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_12 ),
    inference(constrained_superposition,[],[f193,f185]) ).

thf(f1703,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( 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 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_12 ),
    inference(constrained_superposition,[],[f495,f185]) ).

thf(f1705,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_12 ),
    inference(constrained_superposition,[],[f94,f185]) ).

thf(f1706,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
    | ~ spl2_12 ),
    inference(constrained_superposition,[],[f79,f185]) ).

thf(f1707,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
        | ( $true
         != ( r @ sK1 @ X1 ) )
        | ( $true
         != ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_12 ),
    inference(constrained_superposition,[],[f75,f185]) ).

thf(f1708,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ sK1 @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_12 ),
    inference(constrained_superposition,[],[f58,f185]) ).

thf(f1713,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ X1 @ X2 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) )
    | ~ spl2_12 ),
    inference(constrained_superposition,[],[f27,f185]) ).

thf(f1716,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ sK1 @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_12 ),
    inference(trivial_inequality_removal,[],[f1708]) ).

thf(f1717,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_12 ),
    inference(trivial_inequality_removal,[],[f1705]) ).

thf(f1719,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
    | ~ spl2_12 ),
    inference(trivial_inequality_removal,[],[f1706]) ).

thf(f1721,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_12 ),
    inference(trivial_inequality_removal,[],[f1713]) ).

thf(f1722,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_12 ),
    inference(trivial_inequality_removal,[],[f1703]) ).

thf(f1726,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
        | ( $true
         != ( r @ sK1 @ X1 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_12 ),
    inference(trivial_inequality_removal,[],[f1707]) ).

thf(f1727,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_12 ),
    inference(trivial_inequality_removal,[],[f1702]) ).

thf(f1729,definition,
    ( spl2_101
  <=> ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_101])],[avatar_definition]) ).

thf(f1730,plain,
    ( ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
    | ~ spl2_101 ),
    inference(avatar_component_clause,[],[f1729]) ).

thf(f1731,plain,
    ( spl2_101
    | ~ spl2_80
    | spl2_81
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f1716,f184,f1150,f1147,f1729]) ).

thf(f1734,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
    | ~ spl2_12 ),
    inference(forward_subsumption_resolution,[],[f1722,f185]) ).

thf(f1738,plain,
    ( spl2_71
    | spl2_94
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f1734,f184,f1515,f931]) ).

thf(f1743,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f1151,f162]) ).

thf(f1745,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true != $true )
        | ( sK1 = X0 ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f1151,f82]) ).

thf(f1751,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f1743]) ).

thf(f1753,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( sK1 = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f1745]) ).

thf(f1758,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_8
    | ~ spl2_101 ),
    inference(constrained_superposition,[],[f1678,f1730]) ).

thf(f1764,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_8
    | ~ spl2_101 ),
    inference(trivial_inequality_removal,[],[f1758]) ).

thf(f1766,plain,
    ( $false
    | ~ spl2_8
    | ~ spl2_48
    | ~ spl2_101 ),
    inference(forward_subsumption_resolution,[],[f1764,f584]) ).

thf(f1767,plain,
    ( ~ spl2_8
    | ~ spl2_48
    | ~ spl2_101 ),
    inference(avatar_contradiction_clause,[],[f1766]) ).

thf(f1779,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | spl2_64 ),
    inference(constrained_superposition,[],[f794,f25]) ).

thf(f1782,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_64 ),
    inference(trivial_inequality_removal,[],[f1779]) ).

thf(f1785,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_14
    | ~ spl2_79 ),
    inference(constrained_superposition,[],[f1129,f202]) ).

thf(f1786,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_14
    | ~ spl2_79 ),
    inference(trivial_inequality_removal,[],[f1785]) ).

thf(f1800,definition,
    ( spl2_102
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_102])],[avatar_definition]) ).

thf(f1801,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_102 ),
    inference(avatar_component_clause,[],[f1800]) ).

thf(f1802,plain,
    ( spl2_102
    | ~ spl2_80
    | ~ spl2_25
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f1719,f184,f350,f1147,f1800]) ).

thf(f1825,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_31 ),
    inference(constrained_superposition,[],[f26,f511]) ).

thf(f1828,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_31 ),
    inference(trivial_inequality_removal,[],[f1825]) ).

thf(f1833,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_8
    | ~ spl2_31 ),
    inference(constrained_superposition,[],[f1828,f130]) ).

thf(f1836,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_8
    | ~ spl2_31 ),
    inference(trivial_inequality_removal,[],[f1833]) ).

thf(f1840,plain,
    ( $false
    | ~ spl2_8
    | ~ spl2_31
    | ~ spl2_41 ),
    inference(forward_subsumption_resolution,[],[f1836,f556]) ).

thf(f1841,plain,
    ( ~ spl2_8
    | ~ spl2_31
    | ~ spl2_41 ),
    inference(avatar_contradiction_clause,[],[f1840]) ).

thf(f1856,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true != $true ) )
    | ~ spl2_31 ),
    inference(constrained_superposition,[],[f26,f511]) ).

thf(f1859,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_31 ),
    inference(trivial_inequality_removal,[],[f1856]) ).

thf(f1883,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) ) )
    | ~ spl2_94 ),
    inference(constrained_superposition,[],[f1516,f52]) ).

thf(f1884,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_94 ),
    inference(constrained_superposition,[],[f1516,f25]) ).

thf(f1889,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_94 ),
    inference(trivial_inequality_removal,[],[f1884]) ).

thf(f1891,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_94 ),
    inference(trivial_inequality_removal,[],[f1883]) ).

thf(f1892,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true != $true )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f1751,f51]) ).

thf(f1895,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f1892]) ).

thf(f1897,plain,
    ( spl2_24
    | ~ spl2_81 ),
    inference(avatar_split_clause,[],[f1895,f1150,f347]) ).

thf(f1944,plain,
    ( ! [X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_12 ),
    inference(constrained_superposition,[],[f1721,f185]) ).

thf(f1950,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_12 ),
    inference(duplicate_literal_removal,[],[f1944]) ).

thf(f1951,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_12 ),
    inference(trivial_inequality_removal,[],[f1950]) ).

thf(f1983,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_12 ),
    inference(constrained_superposition,[],[f1727,f185]) ).

thf(f1994,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_12 ),
    inference(duplicate_literal_removal,[],[f1983]) ).

thf(f1995,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_12 ),
    inference(trivial_inequality_removal,[],[f1994]) ).

thf(f2015,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = ( sK0 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_44 ),
    inference(constrained_superposition,[],[f567,f50]) ).

thf(f2017,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ X0 ) ) )
    | ~ spl2_44 ),
    inference(trivial_inequality_removal,[],[f2015]) ).

thf(f2026,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( $true
          = ( b @ X0 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f354,f25]) ).

thf(f2027,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( sK0 @ X0 )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( $true != $true ) )
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f354,f50]) ).

thf(f2028,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( sK0 @ X0 )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f2027]) ).

thf(f2029,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ sK1 ) )
        | ( sK1 = X0 ) )
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f2026]) ).

thf(f2037,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( sK1 = X0 )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
          = ( b @ X0 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f26,f2029]) ).

thf(f2040,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( sK1 = X0 )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ sK1 ) ) )
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f2037]) ).

thf(f2118,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X1 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ X0 ) @ X1 ) )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ X0 ) ) )
    | ~ spl2_44 ),
    inference(constrained_superposition,[],[f26,f2017]) ).

thf(f2119,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ X0 ) @ X1 ) )
        | ( ( sK0 @ sK1 )
          = ( sK0 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) )
        | ( $true
         != ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_44 ),
    inference(trivial_inequality_removal,[],[f2118]) ).

thf(f2262,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( sK1 = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f1753,f51]) ).

thf(f2264,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( sK1 = X0 )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f2262]) ).

thf(f2272,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
        | ( sK1 = X0 )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_8
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f1678,f2264]) ).

thf(f2276,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_8
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f2272]) ).

thf(f2281,plain,
    ( ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) )
    | ~ spl2_8
    | ~ spl2_81 ),
    inference(forward_subsumption_resolution,[],[f2276,f130]) ).

thf(f2285,definition,
    ( spl2_110
  <=> ! [X0: $i] :
        ( ( sK1 = X0 )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).

thf(f2286,plain,
    ( ! [X0: $i] :
        ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
          = $true )
        | ( sK1 = X0 ) )
    | ~ spl2_110 ),
    inference(avatar_component_clause,[],[f2285]) ).

thf(f2288,plain,
    ( spl2_110
    | ~ spl2_8
    | ~ spl2_81 ),
    inference(avatar_split_clause,[],[f2281,f1150,f129,f2285]) ).

thf(f2375,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ X0 ) @ X1 ) )
        | ( ( sK0 @ X0 )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) )
        | ( $true != $true ) )
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f26,f2028]) ).

thf(f2383,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ X0 ) @ X1 ) )
        | ( ( sK0 @ X0 )
          = ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f2375]) ).

thf(f2541,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( sK1 = X1 )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( b @ X0 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 )
        | ( $true
          = ( b @ X1 @ sK1 ) )
        | ( $true != $true )
        | ( sK1 = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f2040,f2029]) ).

thf(f2550,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( sK1 = X1 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ X1 @ sK1 ) )
        | ( $true
          = ( b @ X0 @ sK1 ) )
        | ( sK1 = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 ) )
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f2541]) ).

thf(f2568,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_94 ),
    inference(constrained_superposition,[],[f1889,f25]) ).

thf(f2574,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_94 ),
    inference(trivial_inequality_removal,[],[f2568]) ).

thf(f2575,plain,
    ( spl2_57
    | ~ spl2_94 ),
    inference(avatar_split_clause,[],[f2574,f1515,f704]) ).

thf(f2656,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_94 ),
    inference(constrained_superposition,[],[f1891,f80]) ).

thf(f2664,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_94 ),
    inference(trivial_inequality_removal,[],[f2656]) ).

thf(f2712,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ X0 )
          = ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_14
    | ~ spl2_26 ),
    inference(constrained_superposition,[],[f2383,f202]) ).

thf(f2716,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ X0 )
          = ( sK0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
    | ~ spl2_14
    | ~ spl2_26 ),
    inference(trivial_inequality_removal,[],[f2712]) ).

thf(f2811,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_31
    | ~ spl2_57 ),
    inference(constrained_superposition,[],[f1859,f705]) ).

thf(f2855,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_31
    | ~ spl2_57 ),
    inference(trivial_inequality_removal,[],[f2811]) ).

thf(f2867,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | spl2_38 ),
    inference(avatar_component_clause,[],[f534]) ).

thf(f2873,definition,
    ( spl2_113
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_113])],[avatar_definition]) ).

thf(f2874,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
         != ( b @ X0 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_113 ),
    inference(avatar_component_clause,[],[f2873]) ).

thf(f2882,plain,
    ( spl2_113
    | ~ spl2_31
    | ~ spl2_57 ),
    inference(avatar_split_clause,[],[f2855,f704,f510,f2873]) ).

thf(f2905,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_31
    | ~ spl2_99 ),
    inference(constrained_superposition,[],[f511,f1636]) ).

thf(f2913,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_99 ),
    inference(constrained_superposition,[],[f162,f1636]) ).

thf(f2917,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_12
    | ~ spl2_99 ),
    inference(constrained_superposition,[],[f185,f1636]) ).

thf(f2918,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ X1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_99 ),
    inference(constrained_superposition,[],[f193,f1636]) ).

thf(f2925,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_47
    | ~ spl2_99 ),
    inference(constrained_superposition,[],[f578,f1636]) ).

thf(f3046,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_99 ),
    inference(duplicate_literal_removal,[],[f2918]) ).

thf(f3054,definition,
    ( spl2_119
  <=> ( $true
      = ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_119])],[avatar_definition]) ).

thf(f3055,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_119 ),
    inference(avatar_component_clause,[],[f3054]) ).

thf(f3057,plain,
    ( $false
    | ~ spl2_12
    | spl2_22
    | ~ spl2_99 ),
    inference(forward_subsumption_resolution,[],[f2917,f253]) ).

thf(f3058,plain,
    ( ~ spl2_12
    | spl2_22
    | ~ spl2_99 ),
    inference(avatar_contradiction_clause,[],[f3057]) ).

thf(f3060,plain,
    ( spl2_17
    | ~ spl2_31
    | ~ spl2_99 ),
    inference(avatar_split_clause,[],[f2905,f1635,f510,f212]) ).

thf(f3063,definition,
    ( spl2_120
  <=> ( $true
      = ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).

thf(f3064,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_120 ),
    inference(avatar_component_clause,[],[f3063]) ).

thf(f3066,definition,
    ( spl2_121
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).

thf(f3067,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_121 ),
    inference(avatar_component_clause,[],[f3066]) ).

thf(f3069,definition,
    ( spl2_122
  <=> ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).

thf(f3070,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_122 ),
    inference(avatar_component_clause,[],[f3069]) ).

thf(f3074,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | spl2_11
    | ~ spl2_99 ),
    inference(forward_subsumption_resolution,[],[f3046,f182]) ).

thf(f3077,definition,
    ( spl2_123
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).

thf(f3078,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_123 ),
    inference(avatar_component_clause,[],[f3077]) ).

thf(f3081,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_11
    | ~ spl2_47
    | ~ spl2_99 ),
    inference(forward_subsumption_resolution,[],[f2925,f182]) ).

thf(f3086,definition,
    ( spl2_124
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).

thf(f3087,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_124 ),
    inference(avatar_component_clause,[],[f3086]) ).

thf(f3097,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_22
    | ~ spl2_99 ),
    inference(forward_subsumption_resolution,[],[f2913,f253]) ).

thf(f3103,plain,
    ( spl2_82
    | spl2_11
    | ~ spl2_99 ),
    inference(avatar_split_clause,[],[f3074,f1635,f181,f1155]) ).

thf(f3105,plain,
    ( ~ spl2_25
    | ~ spl2_80
    | spl2_11
    | ~ spl2_47
    | ~ spl2_99 ),
    inference(avatar_split_clause,[],[f3081,f1635,f577,f181,f1147,f350]) ).

thf(f3110,plain,
    ( $false
    | spl2_11
    | spl2_22
    | ~ spl2_99 ),
    inference(forward_subsumption_resolution,[],[f3097,f182]) ).

thf(f3111,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_99 ),
    inference(avatar_contradiction_clause,[],[f3110]) ).

thf(f3115,plain,
    ( ( $true != $true )
    | ( ( sK0 @ sK1 )
      = sK1 )
    | spl2_38
    | ~ spl2_110 ),
    inference(constrained_superposition,[],[f2867,f2286]) ).

thf(f3117,plain,
    ( ( ( sK0 @ sK1 )
      = sK1 )
    | spl2_38
    | ~ spl2_110 ),
    inference(trivial_inequality_removal,[],[f3115]) ).

thf(f3120,plain,
    ( $false
    | spl2_38
    | ~ spl2_110 ),
    inference(forward_subsumption_resolution,[],[f3117,f49]) ).

thf(f3121,plain,
    ( spl2_38
    | ~ spl2_110 ),
    inference(avatar_contradiction_clause,[],[f3120]) ).

thf(f3443,definition,
    ( spl2_125
  <=> ! [X2: $i,X1: $i] :
        ( ( ( r @ X1 @ X2 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_125])],[avatar_definition]) ).

thf(f3444,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
    | ~ spl2_125 ),
    inference(avatar_component_clause,[],[f3443]) ).

thf(f3446,definition,
    ( spl2_126
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_126])],[avatar_definition]) ).

thf(f3447,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_126 ),
    inference(avatar_component_clause,[],[f3446]) ).

thf(f3460,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
     != ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_99 ),
    inference(avatar_component_clause,[],[f1635]) ).

thf(f3477,definition,
    ( spl2_132
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).

thf(f3478,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_132 ),
    inference(avatar_component_clause,[],[f3477]) ).

thf(f3481,definition,
    ( spl2_133
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_133])],[avatar_definition]) ).

thf(f3482,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_133 ),
    inference(avatar_component_clause,[],[f3481]) ).

thf(f3506,definition,
    ( spl2_135
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_135])],[avatar_definition]) ).

thf(f3507,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_135 ),
    inference(avatar_component_clause,[],[f3506]) ).

thf(f3509,definition,
    ( spl2_136
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_136])],[avatar_definition]) ).

thf(f3510,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_136 ),
    inference(avatar_component_clause,[],[f3509]) ).

thf(f3513,definition,
    ( spl2_137
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_137])],[avatar_definition]) ).

thf(f3514,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_137 ),
    inference(avatar_component_clause,[],[f3513]) ).

thf(f3516,definition,
    ( spl2_138
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_138])],[avatar_definition]) ).

thf(f3517,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = $true )
    | ~ spl2_138 ),
    inference(avatar_component_clause,[],[f3516]) ).

thf(f3520,definition,
    ( spl2_139
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_139])],[avatar_definition]) ).

thf(f3521,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_139 ),
    inference(avatar_component_clause,[],[f3520]) ).

thf(f3524,definition,
    ( spl2_140
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_140])],[avatar_definition]) ).

thf(f3525,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_140 ),
    inference(avatar_component_clause,[],[f3524]) ).

thf(f3527,definition,
    ( spl2_141
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_141])],[avatar_definition]) ).

thf(f3528,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_141 ),
    inference(avatar_component_clause,[],[f3527]) ).

thf(f3741,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_38 ),
    inference(constrained_superposition,[],[f26,f535]) ).

thf(f3742,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_38 ),
    inference(trivial_inequality_removal,[],[f3741]) ).

thf(f3745,plain,
    ( spl2_132
    | ~ spl2_38 ),
    inference(avatar_split_clause,[],[f3742,f534,f3477]) ).

thf(f3755,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_31
    | ~ spl2_126 ),
    inference(constrained_superposition,[],[f1859,f3447]) ).

thf(f3759,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_8
    | ~ spl2_126 ),
    inference(constrained_superposition,[],[f1678,f3447]) ).

thf(f3779,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_8
    | ~ spl2_126 ),
    inference(trivial_inequality_removal,[],[f3759]) ).

thf(f3784,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_31
    | ~ spl2_126 ),
    inference(trivial_inequality_removal,[],[f3755]) ).

thf(f3798,plain,
    ( $false
    | ~ spl2_8
    | ~ spl2_126 ),
    inference(forward_subsumption_resolution,[],[f3779,f130]) ).

thf(f3799,plain,
    ( ~ spl2_8
    | ~ spl2_126 ),
    inference(avatar_contradiction_clause,[],[f3798]) ).

thf(f3802,plain,
    ( $false
    | ~ spl2_31
    | ~ spl2_126 ),
    inference(forward_subsumption_resolution,[],[f3784,f511]) ).

thf(f3803,plain,
    ( ~ spl2_31
    | ~ spl2_126 ),
    inference(avatar_contradiction_clause,[],[f3802]) ).

thf(f3817,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_72 ),
    inference(avatar_component_clause,[],[f934]) ).

thf(f3846,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_94 ),
    inference(forward_subsumption_resolution,[],[f2664,f49]) ).

thf(f3847,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_16 ),
    inference(avatar_component_clause,[],[f208]) ).

thf(f3869,plain,
    ( spl2_16
    | spl2_67
    | spl2_64 ),
    inference(avatar_split_clause,[],[f1782,f793,f811,f208]) ).

thf(f3874,definition,
    ( spl2_149
  <=> ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_149])],[avatar_definition]) ).

thf(f3875,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | spl2_149 ),
    inference(avatar_component_clause,[],[f3874]) ).

thf(f3883,plain,
    ( ~ spl2_149
    | ~ spl2_14
    | ~ spl2_79 ),
    inference(avatar_split_clause,[],[f1786,f1128,f201,f3874]) ).

thf(f3886,plain,
    ( spl2_16
    | spl2_61
    | ~ spl2_94 ),
    inference(avatar_split_clause,[],[f3846,f1515,f719,f208]) ).

thf(f3918,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_16 ),
    inference(constrained_superposition,[],[f26,f209]) ).

thf(f3920,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_16 ),
    inference(trivial_inequality_removal,[],[f3918]) ).

thf(f3923,plain,
    ( spl2_89
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f3920,f208,f1282]) ).

thf(f3934,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_54 ),
    inference(constrained_superposition,[],[f26,f647]) ).

thf(f3936,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_54 ),
    inference(trivial_inequality_removal,[],[f3934]) ).

thf(f4228,definition,
    ( spl2_155
  <=> ! [X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( b @ X1 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_155])],[avatar_definition]) ).

thf(f4229,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( b @ X1 @ sK1 ) ) )
    | ~ spl2_155 ),
    inference(avatar_component_clause,[],[f4228]) ).

thf(f4249,definition,
    ( spl2_157
  <=> ! [X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_157])],[avatar_definition]) ).

thf(f4250,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_157 ),
    inference(avatar_component_clause,[],[f4249]) ).

thf(f4290,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_94
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f1516,f3521]) ).

thf(f4315,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_94
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f4290]) ).

thf(f4332,plain,
    ( ~ spl2_76
    | ~ spl2_94
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f4315,f3520,f1515,f1110]) ).

thf(f4334,definition,
    ( spl2_162
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).

thf(f4335,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_162 ),
    inference(avatar_component_clause,[],[f4334]) ).

thf(f4343,plain,
    ( ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_75 ),
    inference(constrained_superposition,[],[f1108,f52]) ).

thf(f4346,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_75 ),
    inference(trivial_inequality_removal,[],[f4343]) ).

thf(f4348,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_75 ),
    inference(forward_subsumption_resolution,[],[f4346,f49]) ).

thf(f4350,definition,
    ( spl2_164
  <=> ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_164])],[avatar_definition]) ).

thf(f4351,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_164 ),
    inference(avatar_component_clause,[],[f4350]) ).

thf(f4353,definition,
    ( spl2_165
  <=> ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_165])],[avatar_definition]) ).

thf(f4354,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_165 ),
    inference(avatar_component_clause,[],[f4353]) ).

thf(f4356,plain,
    ( spl2_165
    | spl2_75 ),
    inference(avatar_split_clause,[],[f4348,f1107,f4353]) ).

thf(f4359,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f26,f4354]) ).

thf(f4361,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f4359]) ).

thf(f4376,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_89
    | ~ spl2_97 ),
    inference(constrained_superposition,[],[f1283,f1580]) ).

thf(f4377,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_44
    | ~ spl2_97 ),
    inference(constrained_superposition,[],[f2119,f1580]) ).

thf(f4382,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_44
    | ~ spl2_97 ),
    inference(trivial_inequality_removal,[],[f4377]) ).

thf(f4383,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_89
    | ~ spl2_97 ),
    inference(trivial_inequality_removal,[],[f4376]) ).

thf(f4386,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_77 ),
    inference(avatar_component_clause,[],[f1113]) ).

thf(f4387,plain,
    ( ~ spl2_77
    | spl2_17
    | spl2_67
    | ~ spl2_44
    | ~ spl2_97 ),
    inference(avatar_split_clause,[],[f4382,f1579,f566,f811,f212,f1113]) ).

thf(f4388,plain,
    ( ~ spl2_77
    | ~ spl2_89
    | ~ spl2_97 ),
    inference(avatar_split_clause,[],[f4383,f1579,f1282,f1113]) ).

thf(f4444,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_164 ),
    inference(constrained_superposition,[],[f161,f4351]) ).

thf(f4448,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_164 ),
    inference(constrained_superposition,[],[f176,f4351]) ).

thf(f4457,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_47
    | ~ spl2_164 ),
    inference(constrained_superposition,[],[f578,f4351]) ).

thf(f4535,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_11
    | ~ spl2_47
    | ~ spl2_164 ),
    inference(forward_subsumption_resolution,[],[f4457,f182]) ).

thf(f4558,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_11
    | ~ spl2_164 ),
    inference(forward_subsumption_resolution,[],[f4444,f182]) ).

thf(f4560,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_22
    | ~ spl2_164 ),
    inference(forward_subsumption_resolution,[],[f4448,f253]) ).

thf(f4566,definition,
    ( spl2_167
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_167])],[avatar_definition]) ).

thf(f4567,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_167 ),
    inference(avatar_component_clause,[],[f4566]) ).

thf(f4574,plain,
    ( ~ spl2_25
    | ~ spl2_80
    | spl2_11
    | ~ spl2_47
    | ~ spl2_164 ),
    inference(avatar_split_clause,[],[f4535,f4350,f577,f181,f1147,f350]) ).

thf(f4585,plain,
    ( $false
    | spl2_11
    | spl2_22
    | ~ spl2_164 ),
    inference(forward_subsumption_resolution,[],[f4558,f253]) ).

thf(f4586,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_164 ),
    inference(avatar_contradiction_clause,[],[f4585]) ).

thf(f4587,plain,
    ( spl2_157
    | spl2_22
    | ~ spl2_164 ),
    inference(avatar_split_clause,[],[f4560,f4350,f252,f4249]) ).

thf(f4639,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_97
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f4361,f1580]) ).

thf(f4649,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_97
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f4639]) ).

thf(f4650,plain,
    ( $false
    | ~ spl2_14
    | ~ spl2_97
    | ~ spl2_165 ),
    inference(forward_subsumption_resolution,[],[f4649,f202]) ).

thf(f4651,plain,
    ( ~ spl2_14
    | ~ spl2_97
    | ~ spl2_165 ),
    inference(avatar_contradiction_clause,[],[f4650]) ).

thf(f4652,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_162 ),
    inference(constrained_superposition,[],[f4335,f377]) ).

thf(f4662,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_162 ),
    inference(trivial_inequality_removal,[],[f4652]) ).

thf(f4694,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_135
    | ~ spl2_162 ),
    inference(constrained_superposition,[],[f4335,f3507]) ).

thf(f4695,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_135 ),
    inference(constrained_superposition,[],[f495,f3507]) ).

thf(f4702,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_135 ),
    inference(constrained_superposition,[],[f79,f3507]) ).

thf(f4704,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_135 ),
    inference(constrained_superposition,[],[f58,f3507]) ).

thf(f4714,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_135 ),
    inference(trivial_inequality_removal,[],[f4695]) ).

thf(f4721,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_135 ),
    inference(trivial_inequality_removal,[],[f4702]) ).

thf(f4724,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_135
    | ~ spl2_162 ),
    inference(trivial_inequality_removal,[],[f4694]) ).

thf(f4728,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_135 ),
    inference(trivial_inequality_removal,[],[f4704]) ).

thf(f4732,definition,
    ( spl2_168
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_168])],[avatar_definition]) ).

thf(f4733,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_168 ),
    inference(avatar_component_clause,[],[f4732]) ).

thf(f4735,definition,
    ( spl2_169
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_169])],[avatar_definition]) ).

thf(f4736,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_169 ),
    inference(avatar_component_clause,[],[f4735]) ).

thf(f4738,definition,
    ( spl2_170
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_170])],[avatar_definition]) ).

thf(f4739,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_170 ),
    inference(avatar_component_clause,[],[f4738]) ).

thf(f4740,plain,
    ( spl2_168
    | ~ spl2_169
    | spl2_170
    | ~ spl2_135 ),
    inference(avatar_split_clause,[],[f4714,f3506,f4738,f4735,f4732]) ).

thf(f4741,plain,
    ( ~ spl2_122
    | ~ spl2_135
    | ~ spl2_162 ),
    inference(avatar_split_clause,[],[f4724,f4334,f3506,f3069]) ).

thf(f4743,definition,
    ( spl2_171
  <=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).

thf(f4744,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_171 ),
    inference(avatar_component_clause,[],[f4743]) ).

thf(f4758,definition,
    ( spl2_175
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).

thf(f4759,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_175 ),
    inference(avatar_component_clause,[],[f4758]) ).

thf(f4762,plain,
    ( ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_119 ),
    inference(constrained_superposition,[],[f3055,f25]) ).

thf(f4763,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_119 ),
    inference(trivial_inequality_removal,[],[f4762]) ).

thf(f4774,definition,
    ( spl2_176
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).

thf(f4775,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_176 ),
    inference(avatar_component_clause,[],[f4774]) ).

thf(f4780,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_171 ),
    inference(constrained_superposition,[],[f26,f4744]) ).

thf(f4781,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_171 ),
    inference(trivial_inequality_removal,[],[f4780]) ).

thf(f4785,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_124 ),
    inference(constrained_superposition,[],[f3087,f162]) ).

thf(f4790,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_124 ),
    inference(trivial_inequality_removal,[],[f4785]) ).

thf(f4794,definition,
    ( spl2_177
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).

thf(f4795,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_177 ),
    inference(avatar_component_clause,[],[f4794]) ).

thf(f4797,definition,
    ( spl2_178
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_178])],[avatar_definition]) ).

thf(f4798,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_178 ),
    inference(avatar_component_clause,[],[f4797]) ).

thf(f4800,plain,
    ( spl2_177
    | spl2_124 ),
    inference(avatar_split_clause,[],[f4790,f3086,f4794]) ).

thf(f4803,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_169 ),
    inference(constrained_superposition,[],[f4736,f163]) ).

thf(f4809,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_169 ),
    inference(trivial_inequality_removal,[],[f4803]) ).

thf(f4812,definition,
    ( spl2_179
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).

thf(f4813,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_179 ),
    inference(avatar_component_clause,[],[f4812]) ).

thf(f4815,definition,
    ( spl2_180
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_180])],[avatar_definition]) ).

thf(f4816,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_180 ),
    inference(avatar_component_clause,[],[f4815]) ).

thf(f4819,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_169 ),
    inference(forward_subsumption_resolution,[],[f4809,f49]) ).

thf(f4821,plain,
    ( spl2_180
    | spl2_169 ),
    inference(avatar_split_clause,[],[f4819,f4735,f4815]) ).

thf(f4937,definition,
    ( spl2_181
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).

thf(f4938,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_181 ),
    inference(avatar_component_clause,[],[f4937]) ).

thf(f4941,definition,
    ( spl2_182
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_182])],[avatar_definition]) ).

thf(f4942,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_182 ),
    inference(avatar_component_clause,[],[f4941]) ).

thf(f4944,definition,
    ( spl2_183
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).

thf(f4945,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_183 ),
    inference(avatar_component_clause,[],[f4944]) ).

thf(f4947,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_54
    | ~ spl2_183 ),
    inference(constrained_superposition,[],[f3936,f4945]) ).

thf(f4960,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_54
    | ~ spl2_183 ),
    inference(trivial_inequality_removal,[],[f4947]) ).

thf(f4969,plain,
    ( $false
    | ~ spl2_54
    | ~ spl2_171
    | ~ spl2_183 ),
    inference(forward_subsumption_resolution,[],[f4960,f4744]) ).

thf(f4970,plain,
    ( ~ spl2_54
    | ~ spl2_171
    | ~ spl2_183 ),
    inference(avatar_contradiction_clause,[],[f4969]) ).

thf(f4988,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_57
    | ~ spl2_171 ),
    inference(constrained_superposition,[],[f4781,f705]) ).

thf(f4993,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_57
    | ~ spl2_171 ),
    inference(trivial_inequality_removal,[],[f4988]) ).

thf(f4998,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_54 ),
    inference(avatar_component_clause,[],[f646]) ).

thf(f4999,plain,
    ( spl2_179
    | spl2_178
    | spl2_177
    | ~ spl2_54
    | ~ spl2_57
    | ~ spl2_171 ),
    inference(avatar_split_clause,[],[f4993,f4743,f704,f646,f4794,f4797,f4812]) ).

thf(f5000,plain,
    ( ~ spl2_36
    | spl2_170
    | ~ spl2_162 ),
    inference(avatar_split_clause,[],[f4662,f4334,f4738,f527]) ).

thf(f5002,definition,
    ( spl2_184
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).

thf(f5003,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_184 ),
    inference(avatar_component_clause,[],[f5002]) ).

thf(f5027,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_171
    | ~ spl2_177 ),
    inference(constrained_superposition,[],[f4781,f4795]) ).

thf(f5035,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_171
    | ~ spl2_177 ),
    inference(trivial_inequality_removal,[],[f5027]) ).

thf(f5043,plain,
    ( $false
    | ~ spl2_14
    | ~ spl2_171
    | ~ spl2_177 ),
    inference(forward_subsumption_resolution,[],[f5035,f202]) ).

thf(f5044,plain,
    ( ~ spl2_14
    | ~ spl2_171
    | ~ spl2_177 ),
    inference(avatar_contradiction_clause,[],[f5043]) ).

thf(f5047,definition,
    ( spl2_185
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).

thf(f5048,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_185 ),
    inference(avatar_component_clause,[],[f5047]) ).

thf(f5055,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_179 ),
    inference(constrained_superposition,[],[f377,f4813]) ).

thf(f5056,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
    | ~ spl2_179 ),
    inference(constrained_superposition,[],[f495,f4813]) ).

thf(f5181,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_179 ),
    inference(duplicate_literal_removal,[],[f5056]) ).

thf(f5183,plain,
    ( spl2_126
    | spl2_125
    | ~ spl2_179 ),
    inference(avatar_split_clause,[],[f5181,f4812,f3443,f3446]) ).

thf(f5184,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_72
    | ~ spl2_179 ),
    inference(forward_subsumption_resolution,[],[f5055,f935]) ).

thf(f5186,plain,
    ( spl2_126
    | spl2_72
    | ~ spl2_179 ),
    inference(avatar_split_clause,[],[f5184,f4812,f934,f3446]) ).

thf(f5210,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_178 ),
    inference(constrained_superposition,[],[f377,f4798]) ).

thf(f5213,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_47
    | ~ spl2_178 ),
    inference(constrained_superposition,[],[f578,f4798]) ).

thf(f5321,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_72
    | ~ spl2_178 ),
    inference(forward_subsumption_resolution,[],[f5210,f935]) ).

thf(f5339,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_11
    | ~ spl2_47
    | ~ spl2_178 ),
    inference(forward_subsumption_resolution,[],[f5213,f182]) ).

thf(f5347,plain,
    ( spl2_126
    | spl2_72
    | ~ spl2_178 ),
    inference(avatar_split_clause,[],[f5321,f4797,f934,f3446]) ).

thf(f5359,plain,
    ( ~ spl2_25
    | ~ spl2_80
    | spl2_11
    | ~ spl2_47
    | ~ spl2_178 ),
    inference(avatar_split_clause,[],[f5339,f4797,f577,f181,f1147,f350]) ).

thf(f5363,definition,
    ( spl2_186
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).

thf(f5364,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_186 ),
    inference(avatar_component_clause,[],[f5363]) ).

thf(f5371,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_185 ),
    inference(avatar_component_clause,[],[f5047]) ).

thf(f5373,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_14
    | ~ spl2_26
    | ~ spl2_61 ),
    inference(constrained_superposition,[],[f2716,f720]) ).

thf(f5381,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( ( sK0 @ sK1 )
      = sK1 )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_26
    | ~ spl2_61 ),
    inference(constrained_superposition,[],[f2550,f720]) ).

thf(f5382,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true != $true ) )
    | ~ spl2_61 ),
    inference(constrained_superposition,[],[f26,f720]) ).

thf(f5386,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_61 ),
    inference(trivial_inequality_removal,[],[f5382]) ).

thf(f5390,plain,
    ( ( ( sK0 @ sK1 )
      = sK1 )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_26
    | ~ spl2_61 ),
    inference(trivial_inequality_removal,[],[f5381]) ).

thf(f5392,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ~ spl2_14
    | ~ spl2_26
    | ~ spl2_61 ),
    inference(trivial_inequality_removal,[],[f5373]) ).

thf(f5397,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_120 ),
    inference(constrained_superposition,[],[f3064,f51]) ).

thf(f5399,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_120 ),
    inference(trivial_inequality_removal,[],[f5397]) ).

thf(f5428,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_138
    | ~ spl2_175 ),
    inference(constrained_superposition,[],[f4759,f3517]) ).

thf(f5441,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_138
    | ~ spl2_175 ),
    inference(trivial_inequality_removal,[],[f5428]) ).

thf(f5445,plain,
    ( ~ spl2_75
    | ~ spl2_138
    | ~ spl2_175 ),
    inference(avatar_split_clause,[],[f5441,f4758,f3516,f1107]) ).

thf(f5447,definition,
    ( spl2_188
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_188])],[avatar_definition]) ).

thf(f5448,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_188 ),
    inference(avatar_component_clause,[],[f5447]) ).

thf(f5449,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_17 ),
    inference(avatar_component_clause,[],[f212]) ).

thf(f5455,definition,
    ( spl2_190
  <=> ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_190])],[avatar_definition]) ).

thf(f5456,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_190 ),
    inference(avatar_component_clause,[],[f5455]) ).

thf(f5458,definition,
    ( spl2_191
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).

thf(f5459,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | spl2_191 ),
    inference(avatar_component_clause,[],[f5458]) ).

thf(f5464,definition,
    ( spl2_192
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_192])],[avatar_definition]) ).

thf(f5465,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_192 ),
    inference(avatar_component_clause,[],[f5464]) ).

thf(f5472,definition,
    ( spl2_193
  <=> ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).

thf(f5473,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_193 ),
    inference(avatar_component_clause,[],[f5472]) ).

thf(f5475,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_119 ),
    inference(forward_subsumption_resolution,[],[f4763,f49]) ).

thf(f5487,plain,
    ( spl2_190
    | spl2_120 ),
    inference(avatar_split_clause,[],[f5399,f3063,f5455]) ).

thf(f5495,plain,
    ( spl2_193
    | spl2_119 ),
    inference(avatar_split_clause,[],[f5475,f3054,f5472]) ).

thf(f5503,definition,
    ( spl2_197
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_197])],[avatar_definition]) ).

thf(f5504,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_197 ),
    inference(avatar_component_clause,[],[f5503]) ).

thf(f5505,plain,
    ( spl2_197
    | spl2_188
    | ~ spl2_120
    | ~ spl2_135 ),
    inference(avatar_split_clause,[],[f4728,f3506,f3063,f5447,f5503]) ).

thf(f5518,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | spl2_191 ),
    inference(constrained_superposition,[],[f5459,f50]) ).

thf(f5521,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | spl2_191 ),
    inference(trivial_inequality_removal,[],[f5518]) ).

thf(f5524,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f26,f5473]) ).

thf(f5525,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f5524]) ).

thf(f5529,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f26,f5465]) ).

thf(f5531,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f5529]) ).

thf(f5573,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_185
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f5531,f5371]) ).

thf(f5585,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_185
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f5573]) ).

thf(f5591,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_190 ),
    inference(constrained_superposition,[],[f26,f5456]) ).

thf(f5593,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_190 ),
    inference(trivial_inequality_removal,[],[f5591]) ).

thf(f5595,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_57
    | ~ spl2_190 ),
    inference(constrained_superposition,[],[f5593,f705]) ).

thf(f5599,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_57
    | ~ spl2_190 ),
    inference(trivial_inequality_removal,[],[f5595]) ).

thf(f5605,definition,
    ( spl2_198
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).

thf(f5606,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_198 ),
    inference(avatar_component_clause,[],[f5605]) ).

thf(f5608,plain,
    ( spl2_178
    | spl2_177
    | spl2_179
    | ~ spl2_38
    | ~ spl2_57
    | ~ spl2_190 ),
    inference(avatar_split_clause,[],[f5599,f5455,f704,f534,f4812,f4794,f4797]) ).

thf(f5613,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | spl2_38
    | ~ spl2_102 ),
    inference(constrained_superposition,[],[f2867,f1801]) ).

thf(f5616,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | spl2_38
    | ~ spl2_102 ),
    inference(trivial_inequality_removal,[],[f5613]) ).

thf(f5618,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_137
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f5525,f3514]) ).

thf(f5622,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_137
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f5531,f3514]) ).

thf(f5628,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_137
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f5622]) ).

thf(f5635,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_137
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f5618]) ).

thf(f5638,plain,
    ( $false
    | ~ spl2_137
    | ~ spl2_188
    | ~ spl2_192 ),
    inference(forward_subsumption_resolution,[],[f5628,f5448]) ).

thf(f5639,plain,
    ( ~ spl2_137
    | ~ spl2_188
    | ~ spl2_192 ),
    inference(avatar_contradiction_clause,[],[f5638]) ).

thf(f5640,plain,
    ( $false
    | ~ spl2_137
    | ~ spl2_190
    | ~ spl2_193 ),
    inference(forward_subsumption_resolution,[],[f5635,f5456]) ).

thf(f5641,plain,
    ( ~ spl2_137
    | ~ spl2_190
    | ~ spl2_193 ),
    inference(avatar_contradiction_clause,[],[f5640]) ).

thf(f5659,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f26,f4354]) ).

thf(f5661,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f5659]) ).

thf(f5687,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_133
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f5525,f3482]) ).

thf(f5691,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_31
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f1859,f3482]) ).

thf(f5700,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_31
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f5691]) ).

thf(f5702,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_133
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f5687]) ).

thf(f5707,plain,
    ( $false
    | ~ spl2_31
    | ~ spl2_133
    | ~ spl2_188 ),
    inference(forward_subsumption_resolution,[],[f5700,f5448]) ).

thf(f5708,plain,
    ( ~ spl2_31
    | ~ spl2_133
    | ~ spl2_188 ),
    inference(avatar_contradiction_clause,[],[f5707]) ).

thf(f5710,definition,
    ( spl2_201
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).

thf(f5711,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) ) )
    | ~ spl2_201 ),
    inference(avatar_component_clause,[],[f5710]) ).

thf(f5714,definition,
    ( spl2_202
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ X0 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_202])],[avatar_definition]) ).

thf(f5715,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
    | ~ spl2_202 ),
    inference(avatar_component_clause,[],[f5714]) ).

thf(f5726,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ~ spl2_14
    | ~ spl2_26
    | ~ spl2_61
    | spl2_99 ),
    inference(forward_subsumption_resolution,[],[f5392,f3460]) ).

thf(f5732,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | spl2_41 ),
    inference(avatar_component_clause,[],[f555]) ).

thf(f5736,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = sK1 )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ~ spl2_26
    | ~ spl2_61 ),
    inference(forward_subsumption_resolution,[],[f5390,f49]) ).

thf(f5741,definition,
    ( spl2_204
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ X0 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_204])],[avatar_definition]) ).

thf(f5742,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
    | ~ spl2_204 ),
    inference(avatar_component_clause,[],[f5741]) ).

thf(f5747,plain,
    ( spl2_31
    | spl2_38
    | ~ spl2_102 ),
    inference(avatar_split_clause,[],[f5616,f1800,f534,f510]) ).

thf(f5754,plain,
    ( spl2_31
    | ~ spl2_14
    | ~ spl2_26
    | ~ spl2_61
    | spl2_99 ),
    inference(avatar_split_clause,[],[f5726,f1635,f719,f353,f201,f510]) ).

thf(f5757,definition,
    ( spl2_206
  <=> ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_206])],[avatar_definition]) ).

thf(f5758,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_206 ),
    inference(avatar_component_clause,[],[f5757]) ).

thf(f5761,plain,
    ( ( ( sK0 @ sK1 )
      = sK1 )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ~ spl2_26
    | ~ spl2_61 ),
    inference(forward_subsumption_resolution,[],[f5736,f43]) ).

thf(f5773,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_26
    | ~ spl2_61 ),
    inference(forward_subsumption_resolution,[],[f5761,f49]) ).

thf(f5774,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | spl2_48 ),
    inference(avatar_component_clause,[],[f583]) ).

thf(f5777,plain,
    ( spl2_41
    | spl2_67
    | spl2_31
    | ~ spl2_26
    | ~ spl2_61 ),
    inference(avatar_split_clause,[],[f5773,f719,f353,f510,f811,f555]) ).

thf(f5778,plain,
    ( ~ spl2_38
    | ~ spl2_133
    | ~ spl2_193 ),
    inference(avatar_split_clause,[],[f5702,f5472,f3481,f534]) ).

thf(f5783,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | spl2_31 ),
    inference(avatar_component_clause,[],[f510]) ).

thf(f5814,plain,
    ( spl2_188
    | spl2_191 ),
    inference(avatar_split_clause,[],[f5521,f5458,f5447]) ).

thf(f5821,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_31 ),
    inference(constrained_superposition,[],[f26,f511]) ).

thf(f5822,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_31 ),
    inference(trivial_inequality_removal,[],[f5821]) ).

thf(f5835,plain,
    ( $false
    | spl2_38
    | ~ spl2_73 ),
    inference(forward_subsumption_resolution,[],[f2867,f1006]) ).

thf(f5836,plain,
    ( spl2_38
    | ~ spl2_73 ),
    inference(avatar_contradiction_clause,[],[f5835]) ).

thf(f5837,plain,
    ( ~ spl2_41
    | ~ spl2_185
    | ~ spl2_192 ),
    inference(avatar_split_clause,[],[f5585,f5464,f5047,f555]) ).

thf(f5838,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_41 ),
    inference(constrained_superposition,[],[f26,f556]) ).

thf(f5839,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_41 ),
    inference(trivial_inequality_removal,[],[f5838]) ).

thf(f5850,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ( $true != $true )
    | ~ spl2_41
    | ~ spl2_54 ),
    inference(constrained_superposition,[],[f5839,f647]) ).

thf(f5851,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_41
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f5839,f4354]) ).

thf(f5854,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_41
    | ~ spl2_54 ),
    inference(trivial_inequality_removal,[],[f5850]) ).

thf(f5858,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_41
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f5851]) ).

thf(f5859,plain,
    ( $false
    | ~ spl2_31
    | ~ spl2_41
    | ~ spl2_54 ),
    inference(forward_subsumption_resolution,[],[f5854,f511]) ).

thf(f5860,plain,
    ( ~ spl2_31
    | ~ spl2_41
    | ~ spl2_54 ),
    inference(avatar_contradiction_clause,[],[f5859]) ).

thf(f5871,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_98
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f3482,f1584]) ).

thf(f5888,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_98 ),
    inference(constrained_superposition,[],[f162,f1584]) ).

thf(f5892,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_12
    | ~ spl2_98 ),
    inference(constrained_superposition,[],[f185,f1584]) ).

thf(f5897,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_98 ),
    inference(constrained_superposition,[],[f377,f1584]) ).

thf(f5898,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_98 ),
    inference(constrained_superposition,[],[f495,f1584]) ).

thf(f5900,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_47
    | ~ spl2_98 ),
    inference(constrained_superposition,[],[f578,f1584]) ).

thf(f5987,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_98 ),
    inference(duplicate_literal_removal,[],[f5898]) ).

thf(f5990,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_11
    | ~ spl2_47
    | ~ spl2_98 ),
    inference(forward_subsumption_resolution,[],[f5900,f182]) ).

thf(f5993,plain,
    ( $false
    | ~ spl2_12
    | spl2_22
    | ~ spl2_98 ),
    inference(forward_subsumption_resolution,[],[f5892,f253]) ).

thf(f5994,plain,
    ( ~ spl2_12
    | spl2_22
    | ~ spl2_98 ),
    inference(avatar_contradiction_clause,[],[f5993]) ).

thf(f6002,plain,
    ( spl2_125
    | spl2_126
    | ~ spl2_98 ),
    inference(avatar_split_clause,[],[f5987,f1583,f3446,f3443]) ).

thf(f6003,plain,
    ( spl2_87
    | ~ spl2_98
    | ~ spl2_133 ),
    inference(avatar_split_clause,[],[f5871,f3481,f1583,f1267]) ).

thf(f6009,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_22
    | ~ spl2_98 ),
    inference(forward_subsumption_resolution,[],[f5888,f253]) ).

thf(f6010,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_72
    | ~ spl2_98 ),
    inference(forward_subsumption_resolution,[],[f5897,f935]) ).

thf(f6013,plain,
    ( ~ spl2_80
    | ~ spl2_25
    | spl2_11
    | ~ spl2_47
    | ~ spl2_98 ),
    inference(avatar_split_clause,[],[f5990,f1583,f577,f181,f350,f1147]) ).

thf(f6023,plain,
    ( $false
    | spl2_11
    | spl2_22
    | ~ spl2_98 ),
    inference(forward_subsumption_resolution,[],[f6009,f182]) ).

thf(f6024,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_98 ),
    inference(avatar_contradiction_clause,[],[f6023]) ).

thf(f6025,plain,
    ( spl2_126
    | spl2_72
    | ~ spl2_98 ),
    inference(avatar_split_clause,[],[f6010,f1583,f934,f3446]) ).

thf(f6034,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_87
    | ~ spl2_88 ),
    inference(constrained_superposition,[],[f1278,f1268]) ).

thf(f6038,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_87
    | ~ spl2_88 ),
    inference(trivial_inequality_removal,[],[f6034]) ).

thf(f6041,plain,
    ( $false
    | ~ spl2_16
    | ~ spl2_87
    | ~ spl2_88 ),
    inference(forward_subsumption_resolution,[],[f6038,f209]) ).

thf(f6042,plain,
    ( ~ spl2_16
    | ~ spl2_87
    | ~ spl2_88 ),
    inference(avatar_contradiction_clause,[],[f6041]) ).

thf(f6043,plain,
    ( spl2_88
    | ~ spl2_61 ),
    inference(avatar_split_clause,[],[f5386,f719,f1277]) ).

thf(f6097,plain,
    ( ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_176 ),
    inference(constrained_superposition,[],[f81,f4775]) ).

thf(f6102,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_176 ),
    inference(constrained_superposition,[],[f161,f4775]) ).

thf(f6112,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_176 ),
    inference(constrained_superposition,[],[f377,f4775]) ).

thf(f6115,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_47
    | ~ spl2_176 ),
    inference(constrained_superposition,[],[f578,f4775]) ).

thf(f6197,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | spl2_9
    | ~ spl2_176 ),
    inference(forward_subsumption_resolution,[],[f6097,f133]) ).

thf(f6203,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_72
    | ~ spl2_176 ),
    inference(forward_subsumption_resolution,[],[f6112,f935]) ).

thf(f6206,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_22
    | ~ spl2_176 ),
    inference(forward_subsumption_resolution,[],[f6102,f253]) ).

thf(f6208,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | spl2_11
    | ~ spl2_47
    | ~ spl2_176 ),
    inference(forward_subsumption_resolution,[],[f6115,f182]) ).

thf(f6219,plain,
    ( $false
    | spl2_9
    | spl2_149
    | ~ spl2_176 ),
    inference(forward_subsumption_resolution,[],[f6197,f3875]) ).

thf(f6220,plain,
    ( spl2_9
    | spl2_149
    | ~ spl2_176 ),
    inference(avatar_contradiction_clause,[],[f6219]) ).

thf(f6225,plain,
    ( spl2_126
    | spl2_72
    | ~ spl2_176 ),
    inference(avatar_split_clause,[],[f6203,f4774,f934,f3446]) ).

thf(f6226,plain,
    ( $false
    | spl2_11
    | spl2_22
    | ~ spl2_176 ),
    inference(forward_subsumption_resolution,[],[f6206,f182]) ).

thf(f6227,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_176 ),
    inference(avatar_contradiction_clause,[],[f6226]) ).

thf(f6228,plain,
    ( ~ spl2_80
    | ~ spl2_25
    | spl2_11
    | ~ spl2_47
    | ~ spl2_176 ),
    inference(avatar_split_clause,[],[f6208,f4774,f577,f181,f350,f1147]) ).

thf(f6232,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_31
    | ~ spl2_61 ),
    inference(constrained_superposition,[],[f5822,f720]) ).

thf(f6239,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_31
    | ~ spl2_61 ),
    inference(trivial_inequality_removal,[],[f6232]) ).

thf(f6242,plain,
    ( $false
    | ~ spl2_31
    | ~ spl2_41
    | ~ spl2_61 ),
    inference(forward_subsumption_resolution,[],[f6239,f556]) ).

thf(f6243,plain,
    ( ~ spl2_31
    | ~ spl2_41
    | ~ spl2_61 ),
    inference(avatar_contradiction_clause,[],[f6242]) ).

thf(f6256,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_177
    | ~ spl2_190 ),
    inference(constrained_superposition,[],[f5593,f4795]) ).

thf(f6263,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_177
    | ~ spl2_190 ),
    inference(trivial_inequality_removal,[],[f6256]) ).

thf(f6267,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true != $true ) )
    | ~ spl2_57
    | ~ spl2_88 ),
    inference(constrained_superposition,[],[f1278,f705]) ).

thf(f6272,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_57
    | ~ spl2_88 ),
    inference(trivial_inequality_removal,[],[f6267]) ).

thf(f6274,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_57
    | ~ spl2_88
    | ~ spl2_89 ),
    inference(forward_subsumption_resolution,[],[f6272,f1283]) ).

thf(f6275,plain,
    ( spl2_206
    | ~ spl2_57
    | ~ spl2_88
    | ~ spl2_89 ),
    inference(avatar_split_clause,[],[f6274,f1282,f1277,f704,f5757]) ).

thf(f6276,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_132
    | ~ spl2_183 ),
    inference(constrained_superposition,[],[f3478,f4945]) ).

thf(f6278,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_183
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f5531,f4945]) ).

thf(f6282,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_183
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f6278]) ).

thf(f6285,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_132
    | ~ spl2_183 ),
    inference(trivial_inequality_removal,[],[f6276]) ).

thf(f6286,plain,
    ( $false
    | ~ spl2_31
    | ~ spl2_183
    | ~ spl2_192 ),
    inference(forward_subsumption_resolution,[],[f6282,f511]) ).

thf(f6287,plain,
    ( ~ spl2_31
    | ~ spl2_183
    | ~ spl2_192 ),
    inference(avatar_contradiction_clause,[],[f6286]) ).

thf(f6288,plain,
    ( $false
    | ~ spl2_132
    | ~ spl2_183
    | ~ spl2_190 ),
    inference(forward_subsumption_resolution,[],[f6285,f5456]) ).

thf(f6289,plain,
    ( ~ spl2_132
    | ~ spl2_183
    | ~ spl2_190 ),
    inference(avatar_contradiction_clause,[],[f6288]) ).

thf(f6305,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_133
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f5661,f3482]) ).

thf(f6308,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_102
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f5661,f1801]) ).

thf(f6311,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_102
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f6308]) ).

thf(f6312,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_133
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f6305]) ).

thf(f6314,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_41
    | ~ spl2_102
    | ~ spl2_165 ),
    inference(forward_subsumption_resolution,[],[f6311,f556]) ).

thf(f6315,plain,
    ( $false
    | ~ spl2_41
    | ~ spl2_102
    | ~ spl2_165 ),
    inference(forward_subsumption_resolution,[],[f6314,f5858]) ).

thf(f6316,plain,
    ( ~ spl2_41
    | ~ spl2_102
    | ~ spl2_165 ),
    inference(avatar_contradiction_clause,[],[f6315]) ).

thf(f6318,plain,
    ( ~ spl2_54
    | ~ spl2_133
    | ~ spl2_165 ),
    inference(avatar_split_clause,[],[f6312,f4353,f3481,f646]) ).

thf(f6319,plain,
    ( spl2_21
    | ~ spl2_22
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f1995,f184,f252,f249]) ).

thf(f6320,plain,
    ( ~ spl2_19
    | ~ spl2_177
    | ~ spl2_190 ),
    inference(avatar_split_clause,[],[f6263,f5455,f4794,f219]) ).

thf(f6323,definition,
    ( spl2_211
  <=> ! [X1: $i] :
        ( $true
       != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_211])],[avatar_definition]) ).

thf(f6324,plain,
    ( ! [X1: $i] :
        ( $true
       != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
    | ~ spl2_211 ),
    inference(avatar_component_clause,[],[f6323]) ).

thf(f6325,plain,
    ( ~ spl2_22
    | spl2_211
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f1951,f184,f6323,f252]) ).

thf(f6330,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_48 ),
    inference(constrained_superposition,[],[f26,f584]) ).

thf(f6331,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_48 ),
    inference(trivial_inequality_removal,[],[f6330]) ).

thf(f6332,plain,
    ( spl2_167
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f6331,f583,f4566]) ).

thf(f6337,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_19 ),
    inference(constrained_superposition,[],[f26,f220]) ).

thf(f6339,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_19 ),
    inference(trivial_inequality_removal,[],[f6337]) ).

thf(f6340,plain,
    ( spl2_123
    | ~ spl2_19 ),
    inference(avatar_split_clause,[],[f6339,f219,f3077]) ).

thf(f6358,definition,
    ( spl2_213
  <=> ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_213])],[avatar_definition]) ).

thf(f6359,plain,
    ( ! [X0: $i] :
        ( $true
        = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_213 ),
    inference(avatar_component_clause,[],[f6358]) ).

thf(f6434,plain,
    ( $false
    | spl2_31
    | ~ spl2_101 ),
    inference(forward_subsumption_resolution,[],[f5783,f1730]) ).

thf(f6435,plain,
    ( spl2_31
    | ~ spl2_101 ),
    inference(avatar_contradiction_clause,[],[f6434]) ).

thf(f6437,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X1 ) ) )
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f26,f1006]) ).

thf(f6438,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X1 ) ) )
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f6437]) ).

thf(f6443,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_11
    | ~ spl2_79 ),
    inference(constrained_superposition,[],[f1129,f1153]) ).

thf(f6444,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_11 ),
    inference(constrained_superposition,[],[f26,f1153]) ).

thf(f6445,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_11 ),
    inference(trivial_inequality_removal,[],[f6444]) ).

thf(f6446,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_11
    | ~ spl2_79 ),
    inference(trivial_inequality_removal,[],[f6443]) ).

thf(f6447,plain,
    ( spl2_157
    | ~ spl2_11 ),
    inference(avatar_split_clause,[],[f6445,f181,f4249]) ).

thf(f6448,plain,
    ( $false
    | ~ spl2_11
    | ~ spl2_14
    | ~ spl2_79 ),
    inference(forward_subsumption_resolution,[],[f6446,f202]) ).

thf(f6449,plain,
    ( ~ spl2_11
    | ~ spl2_14
    | ~ spl2_79 ),
    inference(avatar_contradiction_clause,[],[f6448]) ).

thf(f6450,plain,
    ( ( $true != $true )
    | spl2_77
    | ~ spl2_213 ),
    inference(constrained_superposition,[],[f4386,f6359]) ).

thf(f6455,plain,
    ( $false
    | spl2_77
    | ~ spl2_213 ),
    inference(trivial_inequality_removal,[],[f6450]) ).

thf(f6456,plain,
    ( spl2_77
    | ~ spl2_213 ),
    inference(avatar_contradiction_clause,[],[f6455]) ).

thf(f6535,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_14
    | ~ spl2_123 ),
    inference(constrained_superposition,[],[f3078,f202]) ).

thf(f6538,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_14
    | ~ spl2_123 ),
    inference(trivial_inequality_removal,[],[f6535]) ).

thf(f6539,plain,
    ( $false
    | ~ spl2_14
    | ~ spl2_48
    | ~ spl2_123 ),
    inference(forward_subsumption_resolution,[],[f6538,f584]) ).

thf(f6540,plain,
    ( ~ spl2_14
    | ~ spl2_48
    | ~ spl2_123 ),
    inference(avatar_contradiction_clause,[],[f6539]) ).

thf(f6541,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_79
    | ~ spl2_84 ),
    inference(constrained_superposition,[],[f1129,f1256]) ).

thf(f6544,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_79
    | ~ spl2_84 ),
    inference(trivial_inequality_removal,[],[f6541]) ).

thf(f6547,plain,
    ( $false
    | ~ spl2_79
    | ~ spl2_84
    | ~ spl2_165 ),
    inference(forward_subsumption_resolution,[],[f6544,f4354]) ).

thf(f6548,plain,
    ( ~ spl2_79
    | ~ spl2_84
    | ~ spl2_165 ),
    inference(avatar_contradiction_clause,[],[f6547]) ).

thf(f6859,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_33
    | ~ spl2_89 ),
    inference(constrained_superposition,[],[f1283,f518]) ).

thf(f6863,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_33
    | ~ spl2_89 ),
    inference(trivial_inequality_removal,[],[f6859]) ).

thf(f6881,plain,
    ( $false
    | ~ spl2_33
    | ~ spl2_61
    | ~ spl2_89 ),
    inference(forward_subsumption_resolution,[],[f720,f6863]) ).

thf(f6882,plain,
    ( ~ spl2_33
    | ~ spl2_61
    | ~ spl2_89 ),
    inference(avatar_contradiction_clause,[],[f6881]) ).

thf(f6905,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_61
    | ~ spl2_167 ),
    inference(constrained_superposition,[],[f4567,f720]) ).

thf(f6910,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_61
    | ~ spl2_167 ),
    inference(trivial_inequality_removal,[],[f6905]) ).

thf(f6911,plain,
    ( $false
    | ~ spl2_38
    | ~ spl2_61
    | ~ spl2_167 ),
    inference(forward_subsumption_resolution,[],[f6910,f535]) ).

thf(f6912,plain,
    ( ~ spl2_38
    | ~ spl2_61
    | ~ spl2_167 ),
    inference(avatar_contradiction_clause,[],[f6911]) ).

thf(f6955,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_73
    | ~ spl2_177 ),
    inference(constrained_superposition,[],[f6438,f4795]) ).

thf(f6957,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_89
    | ~ spl2_177 ),
    inference(constrained_superposition,[],[f1283,f4795]) ).

thf(f6959,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_73
    | ~ spl2_177 ),
    inference(trivial_inequality_removal,[],[f6955]) ).

thf(f6961,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_89
    | ~ spl2_177 ),
    inference(trivial_inequality_removal,[],[f6957]) ).

thf(f6966,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_12
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f1726,f3521]) ).

thf(f6991,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_12
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f6966]) ).

thf(f7018,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_202 ),
    inference(constrained_superposition,[],[f5715,f162]) ).

thf(f7024,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_202 ),
    inference(trivial_inequality_removal,[],[f7018]) ).

thf(f7084,plain,
    ( ~ spl2_19
    | ~ spl2_73
    | ~ spl2_177 ),
    inference(avatar_split_clause,[],[f6959,f4794,f1005,f219]) ).

thf(f7088,plain,
    ( ~ spl2_185
    | ~ spl2_89
    | ~ spl2_177 ),
    inference(avatar_split_clause,[],[f6961,f4794,f1282,f5047]) ).

thf(f7091,definition,
    ( spl2_217
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_217])],[avatar_definition]) ).

thf(f7092,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_217 ),
    inference(avatar_component_clause,[],[f7091]) ).

thf(f7096,plain,
    ( spl2_24
    | ~ spl2_202 ),
    inference(avatar_split_clause,[],[f7024,f5714,f347]) ).

thf(f7098,definition,
    ( spl2_218
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_218])],[avatar_definition]) ).

thf(f7099,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | spl2_218 ),
    inference(avatar_component_clause,[],[f7098]) ).

thf(f7100,plain,
    ( ~ spl2_218
    | spl2_193
    | ~ spl2_120
    | spl2_188
    | ~ spl2_135 ),
    inference(avatar_split_clause,[],[f4721,f3506,f5447,f3063,f5472,f7098]) ).

thf(f7103,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_17 ),
    inference(constrained_superposition,[],[f26,f213]) ).

thf(f7105,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_17 ),
    inference(trivial_inequality_removal,[],[f7103]) ).

thf(f7106,plain,
    ( spl2_155
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f7105,f212,f4228]) ).

thf(f7243,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f26,f5473]) ).

thf(f7244,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f7243]) ).

thf(f7248,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true ) )
    | ~ spl2_21
    | ~ spl2_89 ),
    inference(constrained_superposition,[],[f1283,f250]) ).

thf(f7250,plain,
    ( ! [X0: $i] :
        ( $true
       != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_21
    | ~ spl2_89 ),
    inference(trivial_inequality_removal,[],[f7248]) ).

thf(f7252,plain,
    ( ( $true != $true )
    | ~ spl2_21
    | ~ spl2_61
    | ~ spl2_89 ),
    inference(constrained_superposition,[],[f7250,f720]) ).

thf(f7254,plain,
    ( $false
    | ~ spl2_21
    | ~ spl2_61
    | ~ spl2_89 ),
    inference(trivial_inequality_removal,[],[f7252]) ).

thf(f7255,plain,
    ( ~ spl2_21
    | ~ spl2_61
    | ~ spl2_89 ),
    inference(avatar_contradiction_clause,[],[f7254]) ).

thf(f7276,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_88
    | ~ spl2_126 ),
    inference(constrained_superposition,[],[f1278,f3447]) ).

thf(f7280,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_88
    | ~ spl2_126 ),
    inference(trivial_inequality_removal,[],[f7276]) ).

thf(f7282,plain,
    ( $false
    | ~ spl2_61
    | ~ spl2_88
    | ~ spl2_126 ),
    inference(forward_subsumption_resolution,[],[f7280,f720]) ).

thf(f7283,plain,
    ( ~ spl2_61
    | ~ spl2_88
    | ~ spl2_126 ),
    inference(avatar_contradiction_clause,[],[f7282]) ).

thf(f7296,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) ) )
    | ~ spl2_71 ),
    inference(constrained_superposition,[],[f26,f932]) ).

thf(f7297,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_71 ),
    inference(trivial_inequality_removal,[],[f7296]) ).

thf(f7306,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_12
    | ~ spl2_139 ),
    inference(forward_subsumption_resolution,[],[f6991,f185]) ).

thf(f7309,plain,
    ( spl2_38
    | ~ spl2_119
    | ~ spl2_12
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f7306,f3520,f184,f3054,f534]) ).

thf(f7333,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_135
    | ~ spl2_217 ),
    inference(constrained_superposition,[],[f7092,f3507]) ).

thf(f7336,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_217 ),
    inference(constrained_superposition,[],[f7092,f80]) ).

thf(f7342,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_135
    | ~ spl2_217 ),
    inference(trivial_inequality_removal,[],[f7333]) ).

thf(f7345,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_217 ),
    inference(trivial_inequality_removal,[],[f7336]) ).

thf(f7350,plain,
    ( ~ spl2_120
    | ~ spl2_135
    | ~ spl2_217 ),
    inference(avatar_split_clause,[],[f7342,f7091,f3506,f3063]) ).

thf(f7351,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | spl2_77
    | ~ spl2_217 ),
    inference(forward_subsumption_resolution,[],[f7345,f4386]) ).

thf(f7352,plain,
    ( ~ spl2_5
    | spl2_77
    | ~ spl2_217 ),
    inference(avatar_split_clause,[],[f7351,f7091,f1113,f100]) ).

thf(f7354,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_97
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f7244,f1580]) ).

thf(f7358,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_97
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f7354]) ).

thf(f7359,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_97
    | ~ spl2_193 ),
    inference(forward_subsumption_resolution,[],[f7358,f220]) ).

thf(f7360,plain,
    ( ~ spl2_19
    | ~ spl2_97
    | ~ spl2_193 ),
    inference(avatar_contradiction_clause,[],[f7359]) ).

thf(f7403,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_62 ),
    inference(constrained_superposition,[],[f723,f50]) ).

thf(f7411,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_62 ),
    inference(trivial_inequality_removal,[],[f7403]) ).

thf(f7424,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_155
    | ~ spl2_177 ),
    inference(constrained_superposition,[],[f4229,f4795]) ).

thf(f7427,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_155
    | ~ spl2_177 ),
    inference(trivial_inequality_removal,[],[f7424]) ).

thf(f7428,plain,
    ( $false
    | ~ spl2_155
    | ~ spl2_177
    | ~ spl2_192 ),
    inference(forward_subsumption_resolution,[],[f7427,f5465]) ).

thf(f7429,plain,
    ( ~ spl2_155
    | ~ spl2_177
    | ~ spl2_192 ),
    inference(avatar_contradiction_clause,[],[f7428]) ).

thf(f7469,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_167
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f4567,f5371]) ).

thf(f7470,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_77
    | ~ spl2_167 ),
    inference(constrained_superposition,[],[f4567,f1114]) ).

thf(f7474,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_167
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f7469]) ).

thf(f7475,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_77
    | ~ spl2_167 ),
    inference(trivial_inequality_removal,[],[f7470]) ).

thf(f7477,plain,
    ( $false
    | ~ spl2_77
    | ~ spl2_167
    | ~ spl2_193 ),
    inference(forward_subsumption_resolution,[],[f7475,f5473]) ).

thf(f7478,plain,
    ( ~ spl2_77
    | ~ spl2_167
    | ~ spl2_193 ),
    inference(avatar_contradiction_clause,[],[f7477]) ).

thf(f7480,plain,
    ( spl2_17
    | ~ spl2_7
    | ~ spl2_62 ),
    inference(avatar_split_clause,[],[f7411,f722,f125,f212]) ).

thf(f7490,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_31
    | ~ spl2_88 ),
    inference(constrained_superposition,[],[f1278,f511]) ).

thf(f7495,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_31
    | ~ spl2_88 ),
    inference(trivial_inequality_removal,[],[f7490]) ).

thf(f7496,plain,
    ( $false
    | ~ spl2_31
    | ~ spl2_48
    | ~ spl2_88 ),
    inference(forward_subsumption_resolution,[],[f7495,f584]) ).

thf(f7497,plain,
    ( ~ spl2_31
    | ~ spl2_48
    | ~ spl2_88 ),
    inference(avatar_contradiction_clause,[],[f7496]) ).

thf(f7515,plain,
    ( $false
    | ~ spl2_167
    | ~ spl2_185
    | ~ spl2_190 ),
    inference(forward_subsumption_resolution,[],[f7474,f5456]) ).

thf(f7516,plain,
    ( ~ spl2_167
    | ~ spl2_185
    | ~ spl2_190 ),
    inference(avatar_contradiction_clause,[],[f7515]) ).

thf(f7543,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_97 ),
    inference(constrained_superposition,[],[f26,f1580]) ).

thf(f7544,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_97 ),
    inference(trivial_inequality_removal,[],[f7543]) ).

thf(f7575,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_97
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f7544,f3514]) ).

thf(f7576,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f7544,f3482]) ).

thf(f7577,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_97 ),
    inference(constrained_superposition,[],[f7544,f1580]) ).

thf(f7579,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_97 ),
    inference(trivial_inequality_removal,[],[f7577]) ).

thf(f7580,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f7576]) ).

thf(f7581,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_97
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f7575]) ).

thf(f7582,plain,
    ( $false
    | ~ spl2_97
    | ~ spl2_137
    | ~ spl2_177 ),
    inference(forward_subsumption_resolution,[],[f7581,f4795]) ).

thf(f7583,plain,
    ( ~ spl2_97
    | ~ spl2_137
    | ~ spl2_177 ),
    inference(avatar_contradiction_clause,[],[f7582]) ).

thf(f7616,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_175 ),
    inference(constrained_superposition,[],[f4759,f377]) ).

thf(f7624,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_175 ),
    inference(trivial_inequality_removal,[],[f7616]) ).

thf(f7634,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_71
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f7297,f3514]) ).

thf(f7637,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_71
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f7634]) ).

thf(f7640,plain,
    ( $false
    | ~ spl2_71
    | ~ spl2_137 ),
    inference(forward_subsumption_resolution,[],[f7637,f932]) ).

thf(f7641,plain,
    ( ~ spl2_71
    | ~ spl2_137 ),
    inference(avatar_contradiction_clause,[],[f7640]) ).

thf(f7642,plain,
    ( ~ spl2_36
    | spl2_183
    | ~ spl2_175 ),
    inference(avatar_split_clause,[],[f7624,f4758,f4944,f527]) ).

thf(f7643,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_16
    | ~ spl2_167 ),
    inference(constrained_superposition,[],[f4567,f209]) ).

thf(f7646,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_16
    | ~ spl2_167 ),
    inference(trivial_inequality_removal,[],[f7643]) ).

thf(f7727,plain,
    ( $false
    | ~ spl2_33
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f518,f7580]) ).

thf(f7728,plain,
    ( ~ spl2_33
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(avatar_contradiction_clause,[],[f7727]) ).

thf(f7729,plain,
    ( ~ spl2_19
    | ~ spl2_16
    | ~ spl2_167 ),
    inference(avatar_split_clause,[],[f7646,f4566,f208,f219]) ).

thf(f7760,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_97
    | ~ spl2_155 ),
    inference(constrained_superposition,[],[f4229,f1580]) ).

thf(f7766,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_97
    | ~ spl2_155 ),
    inference(trivial_inequality_removal,[],[f7760]) ).

thf(f7791,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_135
    | ~ spl2_182 ),
    inference(constrained_superposition,[],[f4942,f3507]) ).

thf(f7794,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_182 ),
    inference(constrained_superposition,[],[f4942,f80]) ).

thf(f7804,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_182 ),
    inference(trivial_inequality_removal,[],[f7794]) ).

thf(f7805,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_135
    | ~ spl2_182 ),
    inference(trivial_inequality_removal,[],[f7791]) ).

thf(f7808,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_77
    | ~ spl2_182 ),
    inference(forward_subsumption_resolution,[],[f7804,f4386]) ).

thf(f7809,plain,
    ( ~ spl2_169
    | ~ spl2_135
    | ~ spl2_182 ),
    inference(avatar_split_clause,[],[f7805,f4941,f3506,f4735]) ).

thf(f7812,plain,
    ( ~ spl2_69
    | spl2_77
    | ~ spl2_182 ),
    inference(avatar_split_clause,[],[f7808,f4941,f1113,f924]) ).

thf(f7814,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f1156,f80]) ).

thf(f7816,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_82 ),
    inference(constrained_superposition,[],[f1156,f50]) ).

thf(f7819,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f7814]) ).

thf(f7820,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_82 ),
    inference(trivial_inequality_removal,[],[f7816]) ).

thf(f7957,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f26,f4739]) ).

thf(f7958,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f7957]) ).

thf(f8004,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_170
    | ~ spl2_188 ),
    inference(constrained_superposition,[],[f7958,f5448]) ).

thf(f8008,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_170
    | ~ spl2_188 ),
    inference(trivial_inequality_removal,[],[f8004]) ).

thf(f8010,plain,
    ( ~ spl2_38
    | ~ spl2_170
    | ~ spl2_188 ),
    inference(avatar_split_clause,[],[f8008,f5447,f4738,f534]) ).

thf(f8021,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_97
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f7544,f5473]) ).

thf(f8023,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_97
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f8021]) ).

thf(f8027,plain,
    ( spl2_81
    | spl2_17
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f7820,f1155,f212,f1150]) ).

thf(f8030,plain,
    ( ~ spl2_17
    | ~ spl2_97
    | ~ spl2_193 ),
    inference(avatar_split_clause,[],[f8023,f5472,f1579,f212]) ).

thf(f8051,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X1 ) ) )
    | ~ spl2_73 ),
    inference(constrained_superposition,[],[f26,f1006]) ).

thf(f8052,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X1 ) ) )
    | ~ spl2_73 ),
    inference(trivial_inequality_removal,[],[f8051]) ).

thf(f8066,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f1151,f80]) ).

thf(f8070,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true != $true ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f1151,f25]) ).

thf(f8074,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f8070]) ).

thf(f8075,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f8066]) ).

thf(f8086,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_73
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f8052,f3514]) ).

thf(f8088,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_73
    | ~ spl2_141 ),
    inference(constrained_superposition,[],[f8052,f3528]) ).

thf(f8097,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_73
    | ~ spl2_141 ),
    inference(trivial_inequality_removal,[],[f8088]) ).

thf(f8098,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_73
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f8086]) ).

thf(f8105,plain,
    ( $false
    | ~ spl2_73
    | ~ spl2_141 ),
    inference(forward_subsumption_resolution,[],[f8097,f1006]) ).

thf(f8106,plain,
    ( ~ spl2_73
    | ~ spl2_141 ),
    inference(avatar_contradiction_clause,[],[f8105]) ).

thf(f8107,plain,
    ( $false
    | ~ spl2_73
    | ~ spl2_137 ),
    inference(forward_subsumption_resolution,[],[f8098,f1006]) ).

thf(f8108,plain,
    ( ~ spl2_73
    | ~ spl2_137 ),
    inference(avatar_contradiction_clause,[],[f8107]) ).

thf(f8109,plain,
    ( $false
    | ~ spl2_97
    | ~ spl2_155
    | ~ spl2_188 ),
    inference(forward_subsumption_resolution,[],[f5448,f7766]) ).

thf(f8110,plain,
    ( ~ spl2_97
    | ~ spl2_155
    | ~ spl2_188 ),
    inference(avatar_contradiction_clause,[],[f8109]) ).

thf(f8135,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f27,f3521]) ).

thf(f8149,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f8135]) ).

thf(f8209,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f26,f3510]) ).

thf(f8212,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f8209]) ).

thf(f8631,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5606,f81]) ).

thf(f8637,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f8631]) ).

thf(f8643,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_69 ),
    inference(constrained_superposition,[],[f925,f80]) ).

thf(f8648,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_69 ),
    inference(trivial_inequality_removal,[],[f8643]) ).

thf(f8737,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_186 ),
    inference(constrained_superposition,[],[f5364,f377]) ).

thf(f8752,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_186 ),
    inference(trivial_inequality_removal,[],[f8737]) ).

thf(f8754,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_139
    | ~ spl2_186 ),
    inference(forward_subsumption_resolution,[],[f8752,f3521]) ).

thf(f8756,plain,
    ( spl2_183
    | ~ spl2_36
    | ~ spl2_139
    | ~ spl2_186 ),
    inference(avatar_split_clause,[],[f8754,f5363,f3520,f527,f4944]) ).

thf(f8851,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_54 ),
    inference(constrained_superposition,[],[f26,f647]) ).

thf(f8852,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_54 ),
    inference(trivial_inequality_removal,[],[f8851]) ).

thf(f8865,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f8149,f50]) ).

thf(f8871,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f8865]) ).

thf(f8877,definition,
    ( spl2_247
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_247])],[avatar_definition]) ).

thf(f8878,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_247 ),
    inference(avatar_component_clause,[],[f8877]) ).

thf(f8917,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f8878,f80]) ).

thf(f8924,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f8917]) ).

thf(f8933,plain,
    ( spl2_61
    | spl2_69 ),
    inference(avatar_split_clause,[],[f8648,f924,f719]) ).

thf(f8937,plain,
    ( ~ spl2_69
    | spl2_165
    | ~ spl2_5
    | ~ spl2_198 ),
    inference(avatar_split_clause,[],[f8637,f5605,f100,f4353,f924]) ).

thf(f8938,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_77
    | ~ spl2_247 ),
    inference(forward_subsumption_resolution,[],[f8924,f4386]) ).

thf(f8939,plain,
    ( ~ spl2_36
    | ~ spl2_69
    | spl2_77
    | ~ spl2_247 ),
    inference(avatar_split_clause,[],[f8938,f8877,f1113,f924,f527]) ).

thf(f8992,definition,
    ( spl2_248
  <=> ! [X1: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_248])],[avatar_definition]) ).

thf(f8993,plain,
    ( ! [X1: $i] :
        ( ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_248 ),
    inference(avatar_component_clause,[],[f8992]) ).

thf(f8995,definition,
    ( spl2_249
  <=> ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_249])],[avatar_definition]) ).

thf(f8996,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true ) )
    | ~ spl2_249 ),
    inference(avatar_component_clause,[],[f8995]) ).

thf(f8998,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_33
    | ~ spl2_54 ),
    inference(constrained_superposition,[],[f8852,f518]) ).

thf(f9004,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_33
    | ~ spl2_54 ),
    inference(trivial_inequality_removal,[],[f8998]) ).

thf(f9006,plain,
    ( $false
    | ~ spl2_14
    | ~ spl2_33
    | ~ spl2_54 ),
    inference(forward_subsumption_resolution,[],[f9004,f202]) ).

thf(f9007,plain,
    ( ~ spl2_14
    | ~ spl2_33
    | ~ spl2_54 ),
    inference(avatar_contradiction_clause,[],[f9006]) ).

thf(f9009,definition,
    ( spl2_250
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_250])],[avatar_definition]) ).

thf(f9010,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_250 ),
    inference(avatar_component_clause,[],[f9009]) ).

thf(f9011,plain,
    ( spl2_188
    | spl2_250
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f8871,f3520,f9009,f5447]) ).

thf(f9016,plain,
    ( spl2_213
    | ~ spl2_23
    | spl2_62
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f1717,f184,f722,f255,f6358]) ).

thf(f9026,definition,
    ( spl2_253
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_253])],[avatar_definition]) ).

thf(f9027,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_253 ),
    inference(avatar_component_clause,[],[f9026]) ).

thf(f9035,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_19
    | ~ spl2_79 ),
    inference(constrained_superposition,[],[f1129,f220]) ).

thf(f9038,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_19
    | ~ spl2_79 ),
    inference(trivial_inequality_removal,[],[f9035]) ).

thf(f9039,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_41
    | ~ spl2_79 ),
    inference(forward_subsumption_resolution,[],[f9038,f556]) ).

thf(f9040,plain,
    ( ~ spl2_19
    | ~ spl2_41
    | ~ spl2_79 ),
    inference(avatar_contradiction_clause,[],[f9039]) ).

thf(f9091,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_62 ),
    inference(constrained_superposition,[],[f723,f162]) ).

thf(f9099,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_62 ),
    inference(trivial_inequality_removal,[],[f9091]) ).

thf(f9107,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f26,f3482]) ).

thf(f9110,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f9107]) ).

thf(f9119,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_132
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f3478,f4739]) ).

thf(f9122,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_132
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f9119]) ).

thf(f9204,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_12
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f9027,f185]) ).

thf(f9215,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_12
    | ~ spl2_253 ),
    inference(trivial_inequality_removal,[],[f9204]) ).

thf(f9221,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_62 ),
    inference(constrained_superposition,[],[f9099,f81]) ).

thf(f9226,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_62 ),
    inference(trivial_inequality_removal,[],[f9221]) ).

thf(f9228,plain,
    ( spl2_65
    | ~ spl2_62 ),
    inference(avatar_split_clause,[],[f9226,f722,f796]) ).

thf(f9271,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ sK1 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( sK1 = X0 )
        | ( $true != $true ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f8074,f25]) ).

thf(f9272,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ sK1 @ X0 ) )
        | ( sK1 = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f9271]) ).

thf(f9307,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f98,f25]) ).

thf(f9310,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f9307]) ).

thf(f9319,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ sK1 @ X0 ) )
        | ( sK1 = X0 )
        | ( $true != $true ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f9310,f25]) ).

thf(f9321,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( sK1 = X0 )
        | ( $true
          = ( b @ sK1 @ X0 ) ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f9319]) ).

thf(f9329,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_4
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f9110,f9321]) ).

thf(f9330,plain,
    ( ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_97 ),
    inference(constrained_superposition,[],[f7544,f9321]) ).

thf(f9333,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_4
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f9329]) ).

thf(f9335,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_4
    | ~ spl2_97 ),
    inference(trivial_inequality_removal,[],[f9330]) ).

thf(f9344,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_132
    | ~ spl2_133
    | ~ spl2_170 ),
    inference(forward_subsumption_resolution,[],[f9333,f9122]) ).

thf(f9345,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_4
    | ~ spl2_97 ),
    inference(forward_subsumption_resolution,[],[f9335,f49]) ).

thf(f9346,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_132
    | ~ spl2_133
    | ~ spl2_170 ),
    inference(forward_subsumption_resolution,[],[f9344,f49]) ).

thf(f9348,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_61 ),
    inference(avatar_component_clause,[],[f719]) ).

thf(f9349,plain,
    ( spl2_164
    | ~ spl2_61
    | ~ spl2_4
    | ~ spl2_132
    | ~ spl2_133
    | ~ spl2_170 ),
    inference(avatar_split_clause,[],[f9346,f4738,f3481,f3477,f97,f719,f4350]) ).

thf(f9352,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f9333,f49]) ).

thf(f9353,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_16
    | ~ spl2_97 ),
    inference(forward_subsumption_resolution,[],[f9345,f209]) ).

thf(f9354,plain,
    ( ~ spl2_61
    | spl2_164
    | spl2_193
    | ~ spl2_4
    | ~ spl2_133 ),
    inference(avatar_split_clause,[],[f9352,f3481,f97,f5472,f4350,f719]) ).

thf(f9355,plain,
    ( spl2_164
    | spl2_193
    | ~ spl2_4
    | ~ spl2_16
    | ~ spl2_97 ),
    inference(avatar_split_clause,[],[f9353,f1579,f208,f97,f5472,f4350]) ).

thf(f9367,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_12
    | ~ spl2_23
    | ~ spl2_253 ),
    inference(forward_subsumption_resolution,[],[f9215,f1126]) ).

thf(f9368,plain,
    ( spl2_16
    | ~ spl2_5
    | ~ spl2_81 ),
    inference(avatar_split_clause,[],[f8075,f1150,f100,f208]) ).

thf(f9372,plain,
    ( ~ spl2_64
    | ~ spl2_12
    | ~ spl2_23
    | ~ spl2_253 ),
    inference(avatar_split_clause,[],[f9367,f9026,f255,f184,f793]) ).

thf(f9374,plain,
    ( spl2_62
    | spl2_16
    | ~ spl2_82 ),
    inference(avatar_split_clause,[],[f7819,f1155,f208,f722]) ).

thf(f9390,definition,
    ( spl2_258
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_258])],[avatar_definition]) ).

thf(f9391,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_258 ),
    inference(avatar_component_clause,[],[f9390]) ).

thf(f9437,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_54
    | ~ spl2_132 ),
    inference(constrained_superposition,[],[f3478,f647]) ).

thf(f9440,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_54
    | ~ spl2_132 ),
    inference(trivial_inequality_removal,[],[f9437]) ).

thf(f9441,plain,
    ( $false
    | ~ spl2_48
    | ~ spl2_54
    | ~ spl2_132 ),
    inference(forward_subsumption_resolution,[],[f9440,f584]) ).

thf(f9442,plain,
    ( ~ spl2_48
    | ~ spl2_54
    | ~ spl2_132 ),
    inference(avatar_contradiction_clause,[],[f9441]) ).

thf(f9469,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_188 ),
    inference(constrained_superposition,[],[f26,f5448]) ).

thf(f9471,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_188 ),
    inference(trivial_inequality_removal,[],[f9469]) ).

thf(f9490,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_136
    | ~ spl2_190 ),
    inference(constrained_superposition,[],[f8212,f5456]) ).

thf(f9492,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_136
    | ~ spl2_190 ),
    inference(trivial_inequality_removal,[],[f9490]) ).

thf(f9494,plain,
    ( $false
    | ~ spl2_136
    | ~ spl2_188
    | ~ spl2_190 ),
    inference(forward_subsumption_resolution,[],[f9492,f5448]) ).

thf(f9495,plain,
    ( ~ spl2_136
    | ~ spl2_188
    | ~ spl2_190 ),
    inference(avatar_contradiction_clause,[],[f9494]) ).

thf(f9624,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_170
    | ~ spl2_188 ),
    inference(constrained_superposition,[],[f9471,f4739]) ).

thf(f9631,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_170
    | ~ spl2_188 ),
    inference(trivial_inequality_removal,[],[f9624]) ).

thf(f9632,plain,
    ( $false
    | ~ spl2_31
    | ~ spl2_170
    | ~ spl2_188 ),
    inference(forward_subsumption_resolution,[],[f9631,f511]) ).

thf(f9633,plain,
    ( ~ spl2_31
    | ~ spl2_170
    | ~ spl2_188 ),
    inference(avatar_contradiction_clause,[],[f9632]) ).

thf(f9650,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f7544,f3482]) ).

thf(f9653,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f26,f3482]) ).

thf(f9654,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f9653]) ).

thf(f9656,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f9650]) ).

thf(f9755,definition,
    ( spl2_259
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_259])],[avatar_definition]) ).

thf(f9756,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_259 ),
    inference(avatar_component_clause,[],[f9755]) ).

thf(f9770,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_171 ),
    inference(constrained_superposition,[],[f26,f4744]) ).

thf(f9771,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_171 ),
    inference(trivial_inequality_removal,[],[f9770]) ).

thf(f9827,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_133
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f9654,f5473]) ).

thf(f9830,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_133
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f9827]) ).

thf(f9832,plain,
    ( $false
    | ~ spl2_31
    | ~ spl2_133
    | ~ spl2_193 ),
    inference(forward_subsumption_resolution,[],[f9830,f511]) ).

thf(f9833,plain,
    ( ~ spl2_31
    | ~ spl2_133
    | ~ spl2_193 ),
    inference(avatar_contradiction_clause,[],[f9832]) ).

thf(f9841,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_171
    | ~ spl2_190 ),
    inference(constrained_superposition,[],[f9771,f5456]) ).

thf(f9844,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_171
    | ~ spl2_190 ),
    inference(trivial_inequality_removal,[],[f9841]) ).

thf(f9847,plain,
    ( $false
    | ~ spl2_41
    | ~ spl2_171
    | ~ spl2_190 ),
    inference(forward_subsumption_resolution,[],[f9844,f556]) ).

thf(f9848,plain,
    ( ~ spl2_41
    | ~ spl2_171
    | ~ spl2_190 ),
    inference(avatar_contradiction_clause,[],[f9847]) ).

thf(f9884,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f26,f3514]) ).

thf(f9885,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f9884]) ).

thf(f9898,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_92 ),
    inference(constrained_superposition,[],[f1444,f50]) ).

thf(f9901,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_92 ),
    inference(trivial_inequality_removal,[],[f9898]) ).

thf(f10128,definition,
    ( spl2_263
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_263])],[avatar_definition]) ).

thf(f10129,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_263 ),
    inference(avatar_component_clause,[],[f10128]) ).

thf(f10308,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_137
    | ~ spl2_183 ),
    inference(constrained_superposition,[],[f9885,f4945]) ).

thf(f10313,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_137
    | ~ spl2_183 ),
    inference(trivial_inequality_removal,[],[f10308]) ).

thf(f10317,plain,
    ( $false
    | ~ spl2_133
    | ~ spl2_137
    | ~ spl2_183 ),
    inference(forward_subsumption_resolution,[],[f10313,f3482]) ).

thf(f10318,plain,
    ( ~ spl2_133
    | ~ spl2_137
    | ~ spl2_183 ),
    inference(avatar_contradiction_clause,[],[f10317]) ).

thf(f10398,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f9756,f377]) ).

thf(f10401,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_259 ),
    inference(constrained_superposition,[],[f9756,f80]) ).

thf(f10407,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f10401]) ).

thf(f10412,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_259 ),
    inference(trivial_inequality_removal,[],[f10398]) ).

thf(f10414,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_139 ),
    inference(avatar_component_clause,[],[f3520]) ).

thf(f10415,plain,
    ( ~ spl2_29
    | ~ spl2_139
    | spl2_183
    | ~ spl2_259 ),
    inference(avatar_split_clause,[],[f10412,f9755,f4944,f3520,f503]) ).

thf(f10429,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_186 ),
    inference(constrained_superposition,[],[f5364,f50]) ).

thf(f10435,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_186 ),
    inference(trivial_inequality_removal,[],[f10429]) ).

thf(f10445,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_181 ),
    inference(constrained_superposition,[],[f4938,f50]) ).

thf(f10454,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_181 ),
    inference(trivial_inequality_removal,[],[f10445]) ).

thf(f10456,plain,
    ( spl2_192
    | ~ spl2_25
    | ~ spl2_119
    | ~ spl2_181 ),
    inference(avatar_split_clause,[],[f10454,f4937,f3054,f350,f5464]) ).

thf(f10488,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
    | ~ spl2_13 ),
    inference(constrained_superposition,[],[f199,f51]) ).

thf(f10497,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
    | ~ spl2_13 ),
    inference(trivial_inequality_removal,[],[f10488]) ).

thf(f10512,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_81
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f9656,f9272]) ).

thf(f10525,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_81
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f10512]) ).

thf(f10530,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_81
    | ~ spl2_97
    | spl2_99
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f10525,f3460]) ).

thf(f10533,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_81
    | ~ spl2_97
    | spl2_99
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f10530,f49]) ).

thf(f10534,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_121 ),
    inference(avatar_component_clause,[],[f3066]) ).

thf(f10536,definition,
    ( spl2_265
  <=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_265])],[avatar_definition]) ).

thf(f10537,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_265 ),
    inference(avatar_component_clause,[],[f10536]) ).

thf(f10539,plain,
    ( $false
    | spl2_38
    | ~ spl2_81
    | ~ spl2_97
    | spl2_99
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f10533,f2867]) ).

thf(f10540,plain,
    ( spl2_38
    | ~ spl2_81
    | ~ spl2_97
    | spl2_99
    | ~ spl2_133 ),
    inference(avatar_contradiction_clause,[],[f10539]) ).

thf(f10541,plain,
    ( spl2_17
    | ~ spl2_7
    | ~ spl2_5
    | ~ spl2_92 ),
    inference(avatar_split_clause,[],[f9901,f1443,f100,f125,f212]) ).

thf(f10542,plain,
    ( spl2_192
    | ~ spl2_7
    | ~ spl2_119
    | ~ spl2_186 ),
    inference(avatar_split_clause,[],[f10435,f5363,f3054,f125,f5464]) ).

thf(f10544,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_185
    | ~ spl2_259 ),
    inference(forward_subsumption_resolution,[],[f10407,f5048]) ).

thf(f10547,plain,
    ( ~ spl2_25
    | spl2_24
    | ~ spl2_7
    | ~ spl2_13 ),
    inference(avatar_split_clause,[],[f10497,f198,f125,f347,f350]) ).

thf(f10551,plain,
    ( ~ spl2_75
    | ~ spl2_5
    | spl2_185
    | ~ spl2_259 ),
    inference(avatar_split_clause,[],[f10544,f9755,f5047,f100,f1107]) ).

thf(f10625,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_97
    | ~ spl2_155 ),
    inference(constrained_superposition,[],[f4229,f1580]) ).

thf(f10629,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_97
    | ~ spl2_155 ),
    inference(trivial_inequality_removal,[],[f10625]) ).

thf(f10640,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_136
    | ~ spl2_171 ),
    inference(constrained_superposition,[],[f8212,f4744]) ).

thf(f10643,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_136
    | ~ spl2_171 ),
    inference(trivial_inequality_removal,[],[f10640]) ).

thf(f10645,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_62 ),
    inference(constrained_superposition,[],[f723,f162]) ).

thf(f10651,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_62 ),
    inference(constrained_superposition,[],[f723,f25]) ).

thf(f10652,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_62 ),
    inference(trivial_inequality_removal,[],[f10645]) ).

thf(f10658,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_62 ),
    inference(trivial_inequality_removal,[],[f10651]) ).

thf(f10744,plain,
    ( ~ spl2_77
    | ~ spl2_136
    | ~ spl2_171 ),
    inference(avatar_split_clause,[],[f10643,f4743,f3509,f1113]) ).

thf(f10747,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_77 ),
    inference(constrained_superposition,[],[f26,f1114]) ).

thf(f10749,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_77 ),
    inference(trivial_inequality_removal,[],[f10747]) ).

thf(f10754,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_217 ),
    inference(constrained_superposition,[],[f7092,f377]) ).

thf(f10763,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_217 ),
    inference(trivial_inequality_removal,[],[f10754]) ).

thf(f10903,definition,
    ( spl2_266
  <=> ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_266])],[avatar_definition]) ).

thf(f10904,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_266 ),
    inference(avatar_component_clause,[],[f10903]) ).

thf(f11223,plain,
    ( spl2_170
    | ~ spl2_29
    | ~ spl2_217 ),
    inference(avatar_split_clause,[],[f10763,f7091,f503,f4738]) ).

thf(f11240,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_77
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f10749,f4739]) ).

thf(f11243,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_77
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f11240]) ).

thf(f11246,plain,
    ( $false
    | ~ spl2_61
    | ~ spl2_77
    | ~ spl2_170 ),
    inference(forward_subsumption_resolution,[],[f11243,f720]) ).

thf(f11247,plain,
    ( ~ spl2_61
    | ~ spl2_77
    | ~ spl2_170 ),
    inference(avatar_contradiction_clause,[],[f11246]) ).

thf(f11259,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_88
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f1278,f3482]) ).

thf(f11260,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_61
    | ~ spl2_88 ),
    inference(constrained_superposition,[],[f1278,f720]) ).

thf(f11264,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_61
    | ~ spl2_88 ),
    inference(trivial_inequality_removal,[],[f11260]) ).

thf(f11267,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_88
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f11259]) ).

thf(f11268,plain,
    ( $false
    | ~ spl2_77
    | ~ spl2_88
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f11267,f1114]) ).

thf(f11269,plain,
    ( ~ spl2_77
    | ~ spl2_88
    | ~ spl2_133 ),
    inference(avatar_contradiction_clause,[],[f11268]) ).

thf(f11301,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_139
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f9027,f3521]) ).

thf(f11317,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f27,f3521]) ).

thf(f11326,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_139
    | ~ spl2_253 ),
    inference(trivial_inequality_removal,[],[f11301]) ).

thf(f11334,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f11317]) ).

thf(f11341,definition,
    ( spl2_277
  <=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_277])],[avatar_definition]) ).

thf(f11342,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_277 ),
    inference(avatar_component_clause,[],[f11341]) ).

thf(f11343,plain,
    ( ~ spl2_277
    | ~ spl2_75
    | ~ spl2_139
    | ~ spl2_253 ),
    inference(avatar_split_clause,[],[f11326,f9026,f3520,f1107,f11341]) ).

thf(f11346,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_277 ),
    inference(constrained_superposition,[],[f11342,f52]) ).

thf(f11349,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_277 ),
    inference(trivial_inequality_removal,[],[f11346]) ).

thf(f11352,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_77
    | spl2_277 ),
    inference(forward_subsumption_resolution,[],[f11349,f4386]) ).

thf(f11356,plain,
    ( $false
    | spl2_77
    | spl2_277 ),
    inference(forward_subsumption_resolution,[],[f11352,f49]) ).

thf(f11357,plain,
    ( spl2_77
    | spl2_277 ),
    inference(avatar_contradiction_clause,[],[f11356]) ).

thf(f11411,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f26,f3510]) ).

thf(f11412,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f11411]) ).

thf(f11414,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_6
    | spl2_77 ),
    inference(constrained_superposition,[],[f4386,f104]) ).

thf(f11425,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_6
    | spl2_77 ),
    inference(trivial_inequality_removal,[],[f11414]) ).

thf(f11432,plain,
    ( $false
    | ~ spl2_6
    | spl2_77
    | ~ spl2_97
    | ~ spl2_155 ),
    inference(forward_subsumption_resolution,[],[f11425,f10629]) ).

thf(f11433,plain,
    ( ~ spl2_6
    | spl2_77
    | ~ spl2_97
    | ~ spl2_155 ),
    inference(avatar_contradiction_clause,[],[f11432]) ).

thf(f11434,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f98,f81]) ).

thf(f11440,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f11434]) ).

thf(f11636,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_250 ),
    inference(constrained_superposition,[],[f9010,f80]) ).

thf(f11643,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_250 ),
    inference(trivial_inequality_removal,[],[f11636]) ).

thf(f11711,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_20 ),
    inference(constrained_superposition,[],[f223,f81]) ).

thf(f11716,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_20 ),
    inference(trivial_inequality_removal,[],[f11711]) ).

thf(f11725,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f11334,f377]) ).

thf(f11728,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true ) )
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f11334,f80]) ).

thf(f11734,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( 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
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f11725]) ).

thf(f11740,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f11728]) ).

thf(f11741,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_77
    | ~ spl2_139 ),
    inference(forward_subsumption_resolution,[],[f11740,f4386]) ).

thf(f11744,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_12
    | spl2_77
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f11741,f185]) ).

thf(f11750,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_12
    | spl2_77
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f11744]) ).

thf(f11758,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_12
    | ~ spl2_64
    | spl2_77
    | ~ spl2_139 ),
    inference(forward_subsumption_resolution,[],[f11750,f1280]) ).

thf(f11759,plain,
    ( $false
    | ~ spl2_12
    | ~ spl2_64
    | spl2_77
    | ~ spl2_139 ),
    inference(forward_subsumption_resolution,[],[f11758,f185]) ).

thf(f11760,plain,
    ( ~ spl2_12
    | ~ spl2_64
    | spl2_77
    | ~ spl2_139 ),
    inference(avatar_contradiction_clause,[],[f11759]) ).

thf(f11762,definition,
    ( spl2_279
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).

thf(f11763,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_279 ),
    inference(avatar_component_clause,[],[f11762]) ).

thf(f11764,plain,
    ( spl2_77
    | spl2_279
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f11740,f3520,f11762,f1113]) ).

thf(f11768,plain,
    ( ~ spl2_149
    | ~ spl2_61
    | ~ spl2_88 ),
    inference(avatar_split_clause,[],[f11264,f1277,f719,f3874]) ).

thf(f11769,plain,
    ( spl2_247
    | spl2_170
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f11734,f3520,f4738,f8877]) ).

thf(f11802,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_21
    | ~ spl2_132 ),
    inference(constrained_superposition,[],[f3478,f250]) ).

thf(f11809,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_21
    | ~ spl2_132 ),
    inference(trivial_inequality_removal,[],[f11802]) ).

thf(f11815,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_21
    | ~ spl2_132 ),
    inference(forward_subsumption_resolution,[],[f11809,f220]) ).

thf(f11816,plain,
    ( ~ spl2_19
    | ~ spl2_21
    | ~ spl2_132 ),
    inference(avatar_contradiction_clause,[],[f11815]) ).

thf(f11818,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_33
    | ~ spl2_132 ),
    inference(constrained_superposition,[],[f3478,f518]) ).

thf(f11819,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_33
    | ~ spl2_155 ),
    inference(constrained_superposition,[],[f4229,f518]) ).

thf(f11821,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
     != $true )
    | ~ spl2_33
    | ~ spl2_155 ),
    inference(trivial_inequality_removal,[],[f11819]) ).

thf(f11822,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_33
    | ~ spl2_132 ),
    inference(trivial_inequality_removal,[],[f11818]) ).

thf(f11825,plain,
    ( $false
    | ~ spl2_31
    | ~ spl2_33
    | ~ spl2_155 ),
    inference(forward_subsumption_resolution,[],[f11821,f511]) ).

thf(f11826,plain,
    ( ~ spl2_31
    | ~ spl2_33
    | ~ spl2_155 ),
    inference(avatar_contradiction_clause,[],[f11825]) ).

thf(f11827,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_33
    | ~ spl2_132 ),
    inference(forward_subsumption_resolution,[],[f11822,f220]) ).

thf(f11828,plain,
    ( ~ spl2_19
    | ~ spl2_33
    | ~ spl2_132 ),
    inference(avatar_contradiction_clause,[],[f11827]) ).

thf(f11851,plain,
    ( ~ spl2_7
    | spl2_77
    | ~ spl2_69
    | ~ spl2_250 ),
    inference(avatar_split_clause,[],[f11643,f9009,f924,f1113,f125]) ).

thf(f11854,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_97
    | ~ spl2_99 ),
    inference(constrained_superposition,[],[f1580,f1636]) ).

thf(f11865,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_99 ),
    inference(constrained_superposition,[],[f161,f1636]) ).

thf(f11889,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_62
    | ~ spl2_99 ),
    inference(constrained_superposition,[],[f10652,f1636]) ).

thf(f11978,plain,
    ( spl2_33
    | ~ spl2_97
    | ~ spl2_99 ),
    inference(avatar_split_clause,[],[f11854,f1635,f1579,f517]) ).

thf(f11979,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_23
    | ~ spl2_62
    | ~ spl2_99 ),
    inference(forward_subsumption_resolution,[],[f11889,f1126]) ).

thf(f11985,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_99
    | ~ spl2_211 ),
    inference(forward_subsumption_resolution,[],[f11865,f6324]) ).

thf(f11989,plain,
    ( $false
    | spl2_11
    | ~ spl2_23
    | ~ spl2_62
    | ~ spl2_99 ),
    inference(forward_subsumption_resolution,[],[f11979,f182]) ).

thf(f11990,plain,
    ( spl2_11
    | ~ spl2_23
    | ~ spl2_62
    | ~ spl2_99 ),
    inference(avatar_contradiction_clause,[],[f11989]) ).

thf(f11991,plain,
    ( $false
    | spl2_11
    | ~ spl2_99
    | ~ spl2_211 ),
    inference(forward_subsumption_resolution,[],[f11985,f182]) ).

thf(f11992,plain,
    ( spl2_11
    | ~ spl2_99
    | ~ spl2_211 ),
    inference(avatar_contradiction_clause,[],[f11991]) ).

thf(f12035,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_164 ),
    inference(constrained_superposition,[],[f80,f4351]) ).

thf(f12052,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_164 ),
    inference(constrained_superposition,[],[f377,f4351]) ).

thf(f12057,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_52
    | ~ spl2_164 ),
    inference(constrained_superposition,[],[f599,f4351]) ).

thf(f12067,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_62
    | ~ spl2_164 ),
    inference(constrained_superposition,[],[f10652,f4351]) ).

thf(f12068,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_4
    | ~ spl2_164 ),
    inference(constrained_superposition,[],[f11440,f4351]) ).

thf(f12129,plain,
    ( spl2_72
    | spl2_126
    | ~ spl2_164 ),
    inference(avatar_split_clause,[],[f12052,f4350,f3446,f934]) ).

thf(f12132,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_149 ),
    inference(avatar_component_clause,[],[f3874]) ).

thf(f12142,plain,
    ( spl2_149
    | ~ spl2_5
    | ~ spl2_7
    | ~ spl2_52
    | ~ spl2_164 ),
    inference(avatar_split_clause,[],[f12057,f4350,f598,f125,f100,f3874]) ).

thf(f12147,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_11
    | ~ spl2_62
    | ~ spl2_164 ),
    inference(forward_subsumption_resolution,[],[f12067,f182]) ).

thf(f12149,plain,
    ( ~ spl2_5
    | spl2_149
    | ~ spl2_4
    | ~ spl2_164 ),
    inference(avatar_split_clause,[],[f12068,f4350,f97,f3874,f100]) ).

thf(f12150,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
    | spl2_9
    | ~ spl2_164 ),
    inference(forward_subsumption_resolution,[],[f12035,f133]) ).

thf(f12160,plain,
    ( $false
    | spl2_11
    | ~ spl2_23
    | ~ spl2_62
    | ~ spl2_164 ),
    inference(forward_subsumption_resolution,[],[f12147,f1126]) ).

thf(f12161,plain,
    ( spl2_11
    | ~ spl2_23
    | ~ spl2_62
    | ~ spl2_164 ),
    inference(avatar_contradiction_clause,[],[f12160]) ).

thf(f12162,plain,
    ( spl2_149
    | spl2_9
    | ~ spl2_164 ),
    inference(avatar_split_clause,[],[f12150,f4350,f132,f3874]) ).

thf(f12164,plain,
    ( ~ spl2_5
    | ~ spl2_64
    | spl2_65
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f11716,f222,f796,f793,f100]) ).

thf(f12167,plain,
    ( ~ spl2_11
    | ~ spl2_97 ),
    inference(avatar_split_clause,[],[f7579,f1579,f181]) ).

thf(f12186,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ X0 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_99 ),
    inference(extensionality_resolution,[],[f290,f3460]) ).

thf(f12274,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_45
    | spl2_54 ),
    inference(constrained_superposition,[],[f4998,f570]) ).

thf(f12276,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_45
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f11412,f570]) ).

thf(f12281,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_45
    | spl2_54 ),
    inference(trivial_inequality_removal,[],[f12274]) ).

thf(f12284,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_45
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f12276]) ).

thf(f12289,plain,
    ( $false
    | spl2_38
    | ~ spl2_45
    | spl2_54 ),
    inference(forward_subsumption_resolution,[],[f12281,f2867]) ).

thf(f12290,plain,
    ( spl2_38
    | ~ spl2_45
    | spl2_54 ),
    inference(avatar_contradiction_clause,[],[f12289]) ).

thf(f12291,plain,
    ( ~ spl2_77
    | spl2_190
    | ~ spl2_45
    | ~ spl2_136 ),
    inference(avatar_split_clause,[],[f12284,f3509,f569,f5455,f1113]) ).

thf(f12313,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_190 ),
    inference(constrained_superposition,[],[f26,f5456]) ).

thf(f12315,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_190 ),
    inference(trivial_inequality_removal,[],[f12313]) ).

thf(f12322,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_72 ),
    inference(constrained_superposition,[],[f294,f3817]) ).

thf(f12331,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_72 ),
    inference(constrained_superposition,[],[f79,f3817]) ).

thf(f12334,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_72 ),
    inference(constrained_superposition,[],[f320,f3817]) ).

thf(f12340,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_72 ),
    inference(trivial_inequality_removal,[],[f12331]) ).

thf(f12353,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true != $true ) )
    | ~ spl2_72 ),
    inference(duplicate_literal_removal,[],[f12334]) ).

thf(f12354,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_72 ),
    inference(trivial_inequality_removal,[],[f12353]) ).

thf(f12355,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_72 ),
    inference(trivial_inequality_removal,[],[f12322]) ).

thf(f12362,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_72 ),
    inference(forward_subsumption_resolution,[],[f12340,f51]) ).

thf(f12369,definition,
    ( spl2_282
  <=> ! [X1: $i] :
        ( ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_282])],[avatar_definition]) ).

thf(f12370,plain,
    ( ! [X1: $i] :
        ( ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 ) )
    | ~ spl2_282 ),
    inference(avatar_component_clause,[],[f12369]) ).

thf(f12372,definition,
    ( spl2_283
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_283])],[avatar_definition]) ).

thf(f12373,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_283 ),
    inference(avatar_component_clause,[],[f12372]) ).

thf(f12374,plain,
    ( spl2_282
    | spl2_283
    | ~ spl2_72 ),
    inference(avatar_split_clause,[],[f12354,f934,f12372,f12369]) ).

thf(f12375,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_72 ),
    inference(forward_subsumption_resolution,[],[f12355,f25]) ).

thf(f12384,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ~ spl2_72 ),
    inference(forward_subsumption_resolution,[],[f12362,f50]) ).

thf(f12387,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_72 ),
    inference(forward_subsumption_resolution,[],[f12375,f50]) ).

thf(f12392,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | spl2_38
    | ~ spl2_72 ),
    inference(forward_subsumption_resolution,[],[f12384,f2867]) ).

thf(f12394,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_31
    | ~ spl2_72 ),
    inference(forward_subsumption_resolution,[],[f12387,f5783]) ).

thf(f12399,plain,
    ( $false
    | spl2_31
    | spl2_38
    | ~ spl2_72 ),
    inference(forward_subsumption_resolution,[],[f12392,f5783]) ).

thf(f12400,plain,
    ( spl2_31
    | spl2_38
    | ~ spl2_72 ),
    inference(avatar_contradiction_clause,[],[f12399]) ).

thf(f12401,plain,
    ( spl2_282
    | spl2_31
    | ~ spl2_72 ),
    inference(avatar_split_clause,[],[f12394,f934,f510,f12369]) ).

thf(f12416,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_71 ),
    inference(constrained_superposition,[],[f26,f932]) ).

thf(f12418,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
        | ( $true
         != ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_71 ),
    inference(trivial_inequality_removal,[],[f12416]) ).

thf(f12419,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_121
    | ~ spl2_123 ),
    inference(constrained_superposition,[],[f3078,f3067]) ).

thf(f12426,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_121
    | ~ spl2_123 ),
    inference(trivial_inequality_removal,[],[f12419]) ).

thf(f12427,plain,
    ( $false
    | ~ spl2_121
    | ~ spl2_123
    | ~ spl2_190 ),
    inference(forward_subsumption_resolution,[],[f12426,f5456]) ).

thf(f12428,plain,
    ( ~ spl2_121
    | ~ spl2_123
    | ~ spl2_190 ),
    inference(avatar_contradiction_clause,[],[f12427]) ).

thf(f12431,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f26,f3482]) ).

thf(f12433,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f12431]) ).

thf(f12460,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_121 ),
    inference(constrained_superposition,[],[f10534,f161]) ).

thf(f12463,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_121 ),
    inference(trivial_inequality_removal,[],[f12460]) ).

thf(f12475,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_17
    | ~ spl2_157 ),
    inference(constrained_superposition,[],[f4250,f213]) ).

thf(f12479,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_17
    | ~ spl2_157 ),
    inference(trivial_inequality_removal,[],[f12475]) ).

thf(f12481,plain,
    ( $false
    | ~ spl2_17
    | ~ spl2_19
    | ~ spl2_157 ),
    inference(forward_subsumption_resolution,[],[f12479,f220]) ).

thf(f12482,plain,
    ( ~ spl2_17
    | ~ spl2_19
    | ~ spl2_157 ),
    inference(avatar_contradiction_clause,[],[f12481]) ).

thf(f12550,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_138
    | ~ spl2_197 ),
    inference(constrained_superposition,[],[f5504,f3517]) ).

thf(f12582,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_138
    | ~ spl2_197 ),
    inference(trivial_inequality_removal,[],[f12550]) ).

thf(f12593,plain,
    ( ~ spl2_119
    | ~ spl2_138
    | ~ spl2_197 ),
    inference(avatar_split_clause,[],[f12582,f5503,f3516,f3054]) ).

thf(f12615,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_71
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f12418,f3510]) ).

thf(f12623,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_71
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f12615]) ).

thf(f12624,plain,
    ( $false
    | ~ spl2_71
    | ~ spl2_136 ),
    inference(forward_subsumption_resolution,[],[f12623,f932]) ).

thf(f12625,plain,
    ( ~ spl2_71
    | ~ spl2_136 ),
    inference(avatar_contradiction_clause,[],[f12624]) ).

thf(f12735,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f26,f3510]) ).

thf(f12737,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f12735]) ).

thf(f12747,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f12433,f3482]) ).

thf(f12749,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_133
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f12433,f4354]) ).

thf(f12750,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f12747]) ).

thf(f12752,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_133
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f12749]) ).

thf(f12754,plain,
    ( $false
    | ~ spl2_61
    | ~ spl2_133
    | ~ spl2_165 ),
    inference(forward_subsumption_resolution,[],[f12752,f720]) ).

thf(f12755,plain,
    ( ~ spl2_61
    | ~ spl2_133
    | ~ spl2_165 ),
    inference(avatar_contradiction_clause,[],[f12754]) ).

thf(f12762,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_97
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f7544,f3514]) ).

thf(f12769,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_97
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f12762]) ).

thf(f13074,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_181 ),
    inference(constrained_superposition,[],[f4938,f80]) ).

thf(f13086,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_181 ),
    inference(trivial_inequality_removal,[],[f13074]) ).

thf(f13087,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_181
    | spl2_185 ),
    inference(forward_subsumption_resolution,[],[f13086,f5048]) ).

thf(f13088,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_64
    | ~ spl2_181
    | spl2_185 ),
    inference(forward_subsumption_resolution,[],[f13087,f1280]) ).

thf(f13089,plain,
    ( ~ spl2_75
    | ~ spl2_64
    | ~ spl2_181
    | spl2_185 ),
    inference(avatar_split_clause,[],[f13088,f5047,f4937,f793,f1107]) ).

thf(f13121,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true ) )
    | ~ spl2_62 ),
    inference(constrained_superposition,[],[f10658,f25]) ).

thf(f13123,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true ) )
    | ~ spl2_62 ),
    inference(trivial_inequality_removal,[],[f13121]) ).

thf(f13126,plain,
    ( spl2_90
    | ~ spl2_62 ),
    inference(avatar_split_clause,[],[f13123,f722,f1353]) ).

thf(f13137,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true != $true )
        | ( sK1 = X0 )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
          = ( b @ X0 @ sK1 ) ) )
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f1559,f25]) ).

thf(f13139,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ sK1 ) )
        | ( sK1 = X0 ) )
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f13137]) ).

thf(f13224,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_90
    | ~ spl2_97
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f12769,f1354]) ).

thf(f13229,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_90
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f12737,f1354]) ).

thf(f13230,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_90
    | ~ spl2_190 ),
    inference(constrained_superposition,[],[f12315,f1354]) ).

thf(f13231,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_90
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f12433,f1354]) ).

thf(f13233,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_90
    | ~ spl2_190 ),
    inference(trivial_inequality_removal,[],[f13230]) ).

thf(f13239,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_90
    | ~ spl2_97
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f13224]) ).

thf(f13240,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_90
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f13229]) ).

thf(f13242,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_90
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f13231]) ).

thf(f13251,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_84 ),
    inference(avatar_component_clause,[],[f1255]) ).

thf(f13257,plain,
    ( spl2_178
    | spl2_171
    | spl2_176
    | ~ spl2_84
    | ~ spl2_90
    | ~ spl2_136 ),
    inference(avatar_split_clause,[],[f13240,f3509,f1353,f1255,f4774,f4743,f4797]) ).

thf(f13259,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_19
    | ~ spl2_90
    | ~ spl2_190 ),
    inference(forward_subsumption_resolution,[],[f13233,f220]) ).

thf(f13260,plain,
    ( spl2_178
    | spl2_176
    | spl2_171
    | ~ spl2_90
    | ~ spl2_97
    | ~ spl2_137 ),
    inference(avatar_split_clause,[],[f13239,f3513,f1579,f1353,f4743,f4774,f4797]) ).

thf(f13262,definition,
    ( spl2_286
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_286])],[avatar_definition]) ).

thf(f13263,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_286 ),
    inference(avatar_component_clause,[],[f13262]) ).

thf(f13265,plain,
    ( spl2_178
    | spl2_171
    | spl2_176
    | ~ spl2_19
    | ~ spl2_90
    | ~ spl2_190 ),
    inference(avatar_split_clause,[],[f13259,f5455,f1353,f219,f4774,f4743,f4797]) ).

thf(f13268,plain,
    ( spl2_176
    | ~ spl2_19
    | spl2_171
    | spl2_178
    | ~ spl2_90
    | ~ spl2_190 ),
    inference(avatar_split_clause,[],[f13233,f5455,f1353,f4797,f4743,f219,f4774]) ).

thf(f13275,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_87 ),
    inference(avatar_component_clause,[],[f1267]) ).

thf(f13276,plain,
    ( spl2_164
    | spl2_165
    | ~ spl2_87
    | spl2_98
    | ~ spl2_90
    | ~ spl2_133 ),
    inference(avatar_split_clause,[],[f13242,f3481,f1353,f1583,f1267,f4353,f4350]) ).

thf(f13305,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
    | ~ spl2_69 ),
    inference(constrained_superposition,[],[f294,f1275]) ).

thf(f13315,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_69 ),
    inference(constrained_superposition,[],[f79,f1275]) ).

thf(f13317,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
        | ( $true != $true ) )
    | ~ spl2_69 ),
    inference(constrained_superposition,[],[f58,f1275]) ).

thf(f13326,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | ~ spl2_69 ),
    inference(trivial_inequality_removal,[],[f13305]) ).

thf(f13327,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_69 ),
    inference(trivial_inequality_removal,[],[f13315]) ).

thf(f13336,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_69 ),
    inference(trivial_inequality_removal,[],[f13317]) ).

thf(f13342,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_41
    | ~ spl2_69 ),
    inference(forward_subsumption_resolution,[],[f13326,f5732]) ).

thf(f13349,definition,
    ( spl2_287
  <=> ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).

thf(f13350,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_287 ),
    inference(avatar_component_clause,[],[f13349]) ).

thf(f13351,plain,
    ( ~ spl2_39
    | spl2_287
    | spl2_41
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f13342,f924,f555,f13349,f538]) ).

thf(f13358,plain,
    ( $false
    | ~ spl2_126
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f3447,f12750]) ).

thf(f13359,plain,
    ( ~ spl2_126
    | ~ spl2_133 ),
    inference(avatar_contradiction_clause,[],[f13358]) ).

thf(f13362,definition,
    ( spl2_288
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_288])],[avatar_definition]) ).

thf(f13363,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_288 ),
    inference(avatar_component_clause,[],[f13362]) ).

thf(f13375,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_4
    | ~ spl2_23 ),
    inference(constrained_superposition,[],[f98,f1126]) ).

thf(f13379,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_4
    | ~ spl2_23 ),
    inference(trivial_inequality_removal,[],[f13375]) ).

thf(f13384,plain,
    ( ~ spl2_80
    | ~ spl2_4
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f13379,f255,f97,f1147]) ).

thf(f13387,plain,
    ( spl2_4
    | spl2_31
    | ~ spl2_5
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f13336,f924,f100,f510,f97]) ).

thf(f13388,plain,
    ( ~ spl2_7
    | ~ spl2_5
    | spl2_38
    | spl2_31
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f13327,f924,f510,f534,f100,f125]) ).

thf(f13392,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( ( sK0 @ sK1 )
      = sK1 )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | spl2_17
    | ~ spl2_90 ),
    inference(constrained_superposition,[],[f5449,f1354]) ).

thf(f13394,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = sK1 )
    | spl2_17
    | ~ spl2_90 ),
    inference(trivial_inequality_removal,[],[f13392]) ).

thf(f13396,plain,
    ( ( ( sK0 @ sK1 )
      = sK1 )
    | ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_17
    | spl2_41
    | ~ spl2_90 ),
    inference(forward_subsumption_resolution,[],[f13394,f5732]) ).

thf(f13398,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_17
    | spl2_41
    | ~ spl2_90 ),
    inference(forward_subsumption_resolution,[],[f13396,f49]) ).

thf(f13399,plain,
    ( $false
    | spl2_17
    | spl2_41
    | ~ spl2_90 ),
    inference(forward_subsumption_resolution,[],[f13398,f49]) ).

thf(f13400,plain,
    ( spl2_17
    | spl2_41
    | ~ spl2_90 ),
    inference(avatar_contradiction_clause,[],[f13399]) ).

thf(f13412,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true != $true ) )
    | ~ spl2_31 ),
    inference(constrained_superposition,[],[f26,f511]) ).

thf(f13413,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_31 ),
    inference(trivial_inequality_removal,[],[f13412]) ).

thf(f13434,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_77 ),
    inference(constrained_superposition,[],[f26,f1114]) ).

thf(f13435,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_77 ),
    inference(trivial_inequality_removal,[],[f13434]) ).

thf(f13438,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f26,f4354]) ).

thf(f13439,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f13438]) ).

thf(f13445,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | spl2_218 ),
    inference(constrained_superposition,[],[f7099,f50]) ).

thf(f13448,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | spl2_218 ),
    inference(trivial_inequality_removal,[],[f13445]) ).

thf(f13450,plain,
    ( spl2_192
    | spl2_218 ),
    inference(avatar_split_clause,[],[f13448,f7098,f5464]) ).

thf(f13457,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_87 ),
    inference(constrained_superposition,[],[f13275,f161]) ).

thf(f13459,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_87 ),
    inference(trivial_inequality_removal,[],[f13457]) ).

thf(f13471,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f1151,f25]) ).

thf(f13472,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f13471]) ).

thf(f13481,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | spl2_84 ),
    inference(constrained_superposition,[],[f13251,f161]) ).

thf(f13484,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_84 ),
    inference(trivial_inequality_removal,[],[f13481]) ).

thf(f13515,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_124 ),
    inference(constrained_superposition,[],[f3087,f25]) ).

thf(f13518,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_124 ),
    inference(trivial_inequality_removal,[],[f13515]) ).

thf(f13522,plain,
    ( spl2_178
    | spl2_177
    | spl2_124 ),
    inference(avatar_split_clause,[],[f13518,f3086,f4794,f4797]) ).

thf(f13525,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_177 ),
    inference(constrained_superposition,[],[f26,f4795]) ).

thf(f13528,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_177 ),
    inference(trivial_inequality_removal,[],[f13525]) ).

thf(f13551,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_31
    | ~ spl2_180 ),
    inference(constrained_superposition,[],[f13413,f4816]) ).

thf(f13557,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_31
    | ~ spl2_180 ),
    inference(trivial_inequality_removal,[],[f13551]) ).

thf(f13558,plain,
    ( $false
    | ~ spl2_31
    | ~ spl2_180
    | ~ spl2_192 ),
    inference(forward_subsumption_resolution,[],[f13557,f5465]) ).

thf(f13559,plain,
    ( ~ spl2_31
    | ~ spl2_180
    | ~ spl2_192 ),
    inference(avatar_contradiction_clause,[],[f13558]) ).

thf(f13565,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f26,f4739]) ).

thf(f13566,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f13565]) ).

thf(f13612,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
        | ( $true != $true ) )
    | ~ spl2_135 ),
    inference(constrained_superposition,[],[f27,f3507]) ).

thf(f13615,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl2_135 ),
    inference(trivial_inequality_removal,[],[f13612]) ).

thf(f13726,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f26,f3514]) ).

thf(f13730,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f13726]) ).

thf(f13739,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_177
    | ~ spl2_190 ),
    inference(constrained_superposition,[],[f13528,f5456]) ).

thf(f13740,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_177
    | ~ spl2_190 ),
    inference(trivial_inequality_removal,[],[f13739]) ).

thf(f13745,plain,
    ( ~ spl2_17
    | ~ spl2_177
    | ~ spl2_190 ),
    inference(avatar_split_clause,[],[f13740,f5455,f4794,f212]) ).

thf(f13751,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_77
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f13566,f1114]) ).

thf(f13755,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_77
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f13751]) ).

thf(f13871,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f9027,f50]) ).

thf(f13875,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_253 ),
    inference(trivial_inequality_removal,[],[f13871]) ).

thf(f14199,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_135 ),
    inference(constrained_superposition,[],[f13615,f377]) ).

thf(f14202,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_135 ),
    inference(constrained_superposition,[],[f13615,f80]) ).

thf(f14204,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_135 ),
    inference(constrained_superposition,[],[f13615,f50]) ).

thf(f14207,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_135 ),
    inference(trivial_inequality_removal,[],[f14202]) ).

thf(f14209,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_135 ),
    inference(trivial_inequality_removal,[],[f14199]) ).

thf(f14210,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_135 ),
    inference(trivial_inequality_removal,[],[f14204]) ).

thf(f14215,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_135
    | spl2_185 ),
    inference(forward_subsumption_resolution,[],[f14207,f5048]) ).

thf(f14237,definition,
    ( spl2_292
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).

thf(f14238,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_292 ),
    inference(avatar_component_clause,[],[f14237]) ).

thf(f14239,plain,
    ( spl2_292
    | spl2_192
    | ~ spl2_135 ),
    inference(avatar_split_clause,[],[f14210,f3506,f5464,f14237]) ).

thf(f14303,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_135
    | spl2_185 ),
    inference(constrained_superposition,[],[f14215,f377]) ).

thf(f14311,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_135
    | spl2_185 ),
    inference(trivial_inequality_removal,[],[f14303]) ).

thf(f14368,definition,
    ( spl2_293
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_293])],[avatar_definition]) ).

thf(f14369,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_293 ),
    inference(avatar_component_clause,[],[f14368]) ).

thf(f14370,plain,
    ( spl2_183
    | spl2_293
    | ~ spl2_135 ),
    inference(avatar_split_clause,[],[f14209,f3506,f14368,f4944]) ).

thf(f14371,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_69
    | ~ spl2_135
    | spl2_185 ),
    inference(forward_subsumption_resolution,[],[f14311,f1275]) ).

thf(f14375,definition,
    ( spl2_294
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_294])],[avatar_definition]) ).

thf(f14376,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_294 ),
    inference(avatar_component_clause,[],[f14375]) ).

thf(f14377,plain,
    ( ~ spl2_294
    | spl2_183
    | ~ spl2_69
    | ~ spl2_135
    | spl2_185 ),
    inference(avatar_split_clause,[],[f14371,f5047,f3506,f924,f4944,f14375]) ).

thf(f14381,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_294 ),
    inference(constrained_superposition,[],[f14376,f82]) ).

thf(f14382,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_294 ),
    inference(constrained_superposition,[],[f14376,f52]) ).

thf(f14386,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_294 ),
    inference(trivial_inequality_removal,[],[f14382]) ).

thf(f14388,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_294 ),
    inference(trivial_inequality_removal,[],[f14381]) ).

thf(f14444,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_206
    | ~ spl2_266 ),
    inference(constrained_superposition,[],[f5758,f10904]) ).

thf(f14448,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_206
    | ~ spl2_266 ),
    inference(trivial_inequality_removal,[],[f14444]) ).

thf(f14450,plain,
    ( spl2_265
    | spl2_263
    | ~ spl2_206
    | ~ spl2_266 ),
    inference(avatar_split_clause,[],[f14448,f10903,f5757,f10128,f10536]) ).

thf(f14452,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ X0 ) )
        | ( $true != $true )
        | ( sK1 = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f13472,f25]) ).

thf(f14453,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( sK1 = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ sK1 @ X0 ) ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f14452]) ).

thf(f14456,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_6
    | spl2_185 ),
    inference(constrained_superposition,[],[f5048,f104]) ).

thf(f14466,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
        | ( $true
         != ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_6 ),
    inference(constrained_superposition,[],[f26,f104]) ).

thf(f14473,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
        | ( $true
         != ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_6 ),
    inference(trivial_inequality_removal,[],[f14466]) ).

thf(f14475,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_6
    | spl2_185 ),
    inference(trivial_inequality_removal,[],[f14456]) ).

thf(f14482,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_6
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f14473,f3514]) ).

thf(f14503,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_6
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f14482]) ).

thf(f14522,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_81
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f13439,f14453]) ).

thf(f14526,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_81
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f14522]) ).

thf(f14539,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_81
    | ~ spl2_165 ),
    inference(forward_subsumption_resolution,[],[f14526,f49]) ).

thf(f14557,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_6
    | ~ spl2_77
    | ~ spl2_137 ),
    inference(forward_subsumption_resolution,[],[f14503,f1114]) ).

thf(f14558,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_14
    | ~ spl2_81
    | ~ spl2_165 ),
    inference(forward_subsumption_resolution,[],[f14539,f202]) ).

thf(f14559,plain,
    ( spl2_192
    | ~ spl2_6
    | spl2_185 ),
    inference(avatar_split_clause,[],[f14475,f5047,f103,f5464]) ).

thf(f14565,plain,
    ( spl2_192
    | ~ spl2_6
    | ~ spl2_77
    | ~ spl2_137 ),
    inference(avatar_split_clause,[],[f14557,f3513,f1113,f103,f5464]) ).

thf(f14566,plain,
    ( spl2_98
    | spl2_193
    | ~ spl2_14
    | ~ spl2_81
    | ~ spl2_165 ),
    inference(avatar_split_clause,[],[f14558,f4353,f1150,f201,f5472,f1583]) ).

thf(f14568,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_165 ),
    inference(avatar_component_clause,[],[f4353]) ).

thf(f14574,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | spl2_171 ),
    inference(avatar_component_clause,[],[f4743]) ).

thf(f14611,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_137
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f13730,f5465]) ).

thf(f14613,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f26,f5465]) ).

thf(f14615,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_137
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f14611]) ).

thf(f14616,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f14613]) ).

thf(f14655,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_47
    | ~ spl2_265 ),
    inference(constrained_superposition,[],[f578,f10537]) ).

thf(f14743,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_11
    | ~ spl2_47
    | ~ spl2_265 ),
    inference(forward_subsumption_resolution,[],[f14655,f182]) ).

thf(f14763,plain,
    ( ~ spl2_25
    | ~ spl2_80
    | spl2_11
    | ~ spl2_47
    | ~ spl2_265 ),
    inference(avatar_split_clause,[],[f14743,f10536,f577,f181,f1147,f350]) ).

thf(f14795,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_23 ),
    inference(constrained_superposition,[],[f79,f1126]) ).

thf(f14797,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_23 ),
    inference(constrained_superposition,[],[f58,f1126]) ).

thf(f14804,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_23 ),
    inference(trivial_inequality_removal,[],[f14797]) ).

thf(f14805,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_23 ),
    inference(trivial_inequality_removal,[],[f14795]) ).

thf(f14836,plain,
    ( spl2_48
    | ~ spl2_25
    | spl2_41
    | ~ spl2_80
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f14805,f255,f1147,f555,f350,f583]) ).

thf(f14840,plain,
    ( spl2_41
    | spl2_81
    | ~ spl2_80
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f14804,f255,f1147,f1150,f555]) ).

thf(f14879,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_123 ),
    inference(constrained_superposition,[],[f3078,f161]) ).

thf(f14883,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_123 ),
    inference(trivial_inequality_removal,[],[f14879]) ).

thf(f14942,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_77
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f13435,f3510]) ).

thf(f14946,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_77
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f14942]) ).

thf(f15315,plain,
    ( ~ spl2_185
    | ~ spl2_77
    | ~ spl2_136 ),
    inference(avatar_split_clause,[],[f14946,f3509,f1113,f5047]) ).

thf(f15407,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_91
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f14616,f1357]) ).

thf(f15425,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_91
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f15407]) ).

thf(f15432,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_17
    | ~ spl2_91
    | ~ spl2_192 ),
    inference(forward_subsumption_resolution,[],[f15425,f213]) ).

thf(f15436,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_97 ),
    inference(avatar_component_clause,[],[f1579]) ).

thf(f15438,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_17
    | ~ spl2_91
    | spl2_185
    | ~ spl2_192 ),
    inference(forward_subsumption_resolution,[],[f15432,f5048]) ).

thf(f15441,plain,
    ( spl2_176
    | spl2_178
    | ~ spl2_17
    | ~ spl2_91
    | spl2_185
    | ~ spl2_192 ),
    inference(avatar_split_clause,[],[f15438,f5464,f5047,f1356,f212,f4797,f4774]) ).

thf(f15449,plain,
    ( ( ( sK0 @ sK1 )
      = sK1 )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | spl2_54
    | ~ spl2_96 ),
    inference(constrained_superposition,[],[f4998,f13139]) ).

thf(f15463,plain,
    ( ( ( sK0 @ sK1 )
      = sK1 )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_54
    | ~ spl2_96 ),
    inference(trivial_inequality_removal,[],[f15449]) ).

thf(f15479,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | spl2_54
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f15463,f49]) ).

thf(f15480,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_41
    | spl2_54
    | ~ spl2_96 ),
    inference(forward_subsumption_resolution,[],[f15479,f5732]) ).

thf(f15481,plain,
    ( spl2_55
    | spl2_41
    | spl2_54
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f15480,f1558,f646,f555,f649]) ).

thf(f15482,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true != $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_287 ),
    inference(constrained_superposition,[],[f13350,f25]) ).

thf(f15485,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_287 ),
    inference(constrained_superposition,[],[f13350,f51]) ).

thf(f15487,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_287 ),
    inference(trivial_inequality_removal,[],[f15485]) ).

thf(f15488,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_287 ),
    inference(trivial_inequality_removal,[],[f15482]) ).

thf(f15490,plain,
    ( spl2_248
    | ~ spl2_287 ),
    inference(avatar_split_clause,[],[f15488,f13349,f8992]) ).

thf(f15518,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_24
    | spl2_97 ),
    inference(constrained_superposition,[],[f15436,f348]) ).

thf(f15541,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_24
    | spl2_97 ),
    inference(trivial_inequality_removal,[],[f15518]) ).

thf(f15543,plain,
    ( $false
    | ~ spl2_24
    | spl2_97
    | ~ spl2_137
    | ~ spl2_192 ),
    inference(forward_subsumption_resolution,[],[f15541,f14615]) ).

thf(f15544,plain,
    ( ~ spl2_24
    | spl2_97
    | ~ spl2_137
    | ~ spl2_192 ),
    inference(avatar_contradiction_clause,[],[f15543]) ).

thf(f15597,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_113
    | ~ spl2_155 ),
    inference(forward_subsumption_resolution,[],[f2874,f4229]) ).

thf(f15599,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_113
    | ~ spl2_155
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f15597,f5465]) ).

thf(f15600,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_113
    | ~ spl2_155
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f15599]) ).

thf(f15602,plain,
    ( spl2_178
    | spl2_179
    | ~ spl2_113
    | ~ spl2_155
    | ~ spl2_192 ),
    inference(avatar_split_clause,[],[f15600,f5464,f4228,f2873,f4812,f4797]) ).

thf(f15604,plain,
    ( ~ spl2_54
    | ~ spl2_77
    | ~ spl2_170 ),
    inference(avatar_split_clause,[],[f13755,f4738,f1113,f646]) ).

thf(f15605,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_48
    | ~ spl2_287 ),
    inference(forward_subsumption_resolution,[],[f15487,f5774]) ).

thf(f15607,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_48
    | ~ spl2_287 ),
    inference(forward_subsumption_resolution,[],[f15605,f49]) ).

thf(f15608,plain,
    ( spl2_38
    | spl2_48
    | ~ spl2_287 ),
    inference(avatar_split_clause,[],[f15607,f13349,f583,f534]) ).

thf(f15609,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_99
    | spl2_294 ),
    inference(forward_subsumption_resolution,[],[f14386,f3460]) ).

thf(f15613,plain,
    ( spl2_170
    | spl2_67
    | spl2_294 ),
    inference(avatar_split_clause,[],[f14388,f14375,f811,f4738]) ).

thf(f15614,plain,
    ( spl2_170
    | spl2_99
    | spl2_294 ),
    inference(avatar_split_clause,[],[f15609,f14375,f1635,f4738]) ).

thf(f15625,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f98,f25]) ).

thf(f15629,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f15625]) ).

thf(f15631,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_190 ),
    inference(constrained_superposition,[],[f26,f5456]) ).

thf(f15632,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_190 ),
    inference(trivial_inequality_removal,[],[f15631]) ).

thf(f15645,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_136
    | ~ spl2_190 ),
    inference(constrained_superposition,[],[f15632,f3510]) ).

thf(f15648,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_136
    | ~ spl2_190 ),
    inference(trivial_inequality_removal,[],[f15645]) ).

thf(f15660,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_60 ),
    inference(constrained_superposition,[],[f716,f80]) ).

thf(f15666,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_60 ),
    inference(trivial_inequality_removal,[],[f15660]) ).

thf(f15675,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( $true
          = ( b @ sK1 @ X0 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( sK1 = X0 )
        | ( $true != $true ) )
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f15629,f25]) ).

thf(f15676,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ sK1 @ X0 ) )
        | ( sK1 = X0 ) )
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f15675]) ).

thf(f15679,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = sK1 )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_4
    | spl2_171 ),
    inference(constrained_superposition,[],[f14574,f15676]) ).

thf(f15680,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_4
    | spl2_165 ),
    inference(constrained_superposition,[],[f14568,f15676]) ).

thf(f15696,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_4
    | spl2_165 ),
    inference(trivial_inequality_removal,[],[f15680]) ).

thf(f15701,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = sK1 )
    | ~ spl2_4
    | spl2_171 ),
    inference(trivial_inequality_removal,[],[f15679]) ).

thf(f15702,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_4
    | spl2_165 ),
    inference(forward_subsumption_resolution,[],[f15696,f49]) ).

thf(f15703,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_4
    | ~ spl2_136
    | spl2_165
    | ~ spl2_190 ),
    inference(forward_subsumption_resolution,[],[f15702,f15648]) ).

thf(f15704,plain,
    ( spl2_164
    | ~ spl2_4
    | ~ spl2_136
    | spl2_165
    | ~ spl2_190 ),
    inference(avatar_split_clause,[],[f15703,f5455,f4353,f3509,f97,f4350]) ).

thf(f15705,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_4
    | spl2_171 ),
    inference(forward_subsumption_resolution,[],[f15701,f49]) ).

thf(f15706,plain,
    ( spl2_164
    | spl2_193
    | ~ spl2_4
    | spl2_165 ),
    inference(avatar_split_clause,[],[f15702,f4353,f97,f5472,f4350]) ).

thf(f15709,plain,
    ( spl2_190
    | spl2_176
    | ~ spl2_4
    | spl2_171 ),
    inference(avatar_split_clause,[],[f15705,f4743,f97,f4774,f5455]) ).

thf(f15886,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f26,f4354]) ).

thf(f15887,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f15886]) ).

thf(f15896,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_137
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f13730,f5371]) ).

thf(f15901,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_137
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f15896]) ).

thf(f15902,plain,
    ( $false
    | ~ spl2_137
    | ~ spl2_165
    | ~ spl2_185 ),
    inference(forward_subsumption_resolution,[],[f15901,f4354]) ).

thf(f15903,plain,
    ( ~ spl2_137
    | ~ spl2_165
    | ~ spl2_185 ),
    inference(avatar_contradiction_clause,[],[f15902]) ).

thf(f15916,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl2_137
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f15887,f3514]) ).

thf(f15919,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
     != $true )
    | ~ spl2_137
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f15916]) ).

thf(f15924,plain,
    ( $false
    | ~ spl2_137
    | ~ spl2_165
    | ~ spl2_171 ),
    inference(forward_subsumption_resolution,[],[f15919,f4744]) ).

thf(f15925,plain,
    ( ~ spl2_137
    | ~ spl2_165
    | ~ spl2_171 ),
    inference(avatar_contradiction_clause,[],[f15924]) ).

thf(f15926,plain,
    ( ~ spl2_7
    | spl2_31
    | ~ spl2_5
    | ~ spl2_253 ),
    inference(avatar_split_clause,[],[f13875,f9026,f100,f510,f125]) ).

thf(f15951,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_88 ),
    inference(constrained_superposition,[],[f1278,f161]) ).

thf(f15958,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_88 ),
    inference(trivial_inequality_removal,[],[f15951]) ).

thf(f16110,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_6
    | spl2_77 ),
    inference(constrained_superposition,[],[f4386,f104]) ).

thf(f16122,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
        | ( $true
         != ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_6 ),
    inference(constrained_superposition,[],[f26,f104]) ).

thf(f16125,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
        | ( $true
         != ( b @ X1 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
    | ~ spl2_6 ),
    inference(trivial_inequality_removal,[],[f16122]) ).

thf(f16134,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_6
    | spl2_77 ),
    inference(trivial_inequality_removal,[],[f16110]) ).

thf(f16146,plain,
    ( spl2_188
    | ~ spl2_6
    | spl2_77 ),
    inference(avatar_split_clause,[],[f16134,f1113,f103,f5447]) ).

thf(f16183,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_188 ),
    inference(constrained_superposition,[],[f26,f5448]) ).

thf(f16185,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_188 ),
    inference(trivial_inequality_removal,[],[f16183]) ).

thf(f16188,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true != $true ) )
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f26,f5371]) ).

thf(f16191,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f16188]) ).

thf(f16203,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_286 ),
    inference(constrained_superposition,[],[f13263,f80]) ).

thf(f16206,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_286 ),
    inference(trivial_inequality_removal,[],[f16203]) ).

thf(f16223,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_188 ),
    inference(constrained_superposition,[],[f16185,f161]) ).

thf(f16230,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_188 ),
    inference(trivial_inequality_removal,[],[f16223]) ).

thf(f16260,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_6 ),
    inference(constrained_superposition,[],[f16125,f161]) ).

thf(f16284,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_6 ),
    inference(trivial_inequality_removal,[],[f16260]) ).

thf(f16387,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_90
    | spl2_97 ),
    inference(constrained_superposition,[],[f15436,f1354]) ).

thf(f16397,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_90
    | spl2_97 ),
    inference(trivial_inequality_removal,[],[f16387]) ).

thf(f16404,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_90
    | spl2_97
    | spl2_165 ),
    inference(forward_subsumption_resolution,[],[f16397,f14568]) ).

thf(f16405,plain,
    ( spl2_164
    | spl2_98
    | ~ spl2_90
    | spl2_97
    | spl2_165 ),
    inference(avatar_split_clause,[],[f16404,f4353,f1579,f1353,f1583,f4350]) ).

thf(f16408,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_17
    | ~ spl2_188 ),
    inference(forward_subsumption_resolution,[],[f16230,f213]) ).

thf(f16410,definition,
    ( spl2_296
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_296])],[avatar_definition]) ).

thf(f16411,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_296 ),
    inference(avatar_component_clause,[],[f16410]) ).

thf(f16421,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_33 ),
    inference(avatar_component_clause,[],[f517]) ).

thf(f16426,definition,
    ( spl2_298
  <=> ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_298])],[avatar_definition]) ).

thf(f16427,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_298 ),
    inference(avatar_component_clause,[],[f16426]) ).

thf(f16435,plain,
    ( spl2_63
    | spl2_87 ),
    inference(avatar_split_clause,[],[f13459,f1267,f727]) ).

thf(f16436,plain,
    ( spl2_298
    | spl2_121 ),
    inference(avatar_split_clause,[],[f12463,f3066,f16426]) ).

thf(f16439,plain,
    ( spl2_296
    | ~ spl2_17
    | ~ spl2_188 ),
    inference(avatar_split_clause,[],[f16408,f5447,f212,f16410]) ).

thf(f16447,definition,
    ( spl2_300
  <=> ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_300])],[avatar_definition]) ).

thf(f16448,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_300 ),
    inference(avatar_component_clause,[],[f16447]) ).

thf(f16498,plain,
    ( ( $true != $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_87
    | ~ spl2_123 ),
    inference(constrained_superposition,[],[f3078,f1268]) ).

thf(f16506,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
     != $true )
    | ~ spl2_87
    | ~ spl2_123 ),
    inference(trivial_inequality_removal,[],[f16498]) ).

thf(f16524,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f193,f16411]) ).

thf(f16534,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f27,f16411]) ).

thf(f16537,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f16534]) ).

thf(f16542,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f16524]) ).

thf(f16551,definition,
    ( spl2_302
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).

thf(f16552,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_302 ),
    inference(avatar_component_clause,[],[f16551]) ).

thf(f16554,plain,
    ( spl2_85
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f16537,f16410,f1258]) ).

thf(f16562,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_97
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f16542,f15436]) ).

thf(f16570,plain,
    ( ~ spl2_38
    | ~ spl2_87
    | ~ spl2_123 ),
    inference(avatar_split_clause,[],[f16506,f3077,f1267,f534]) ).

thf(f16571,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_298 ),
    inference(avatar_component_clause,[],[f16426]) ).

thf(f16609,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_63
    | ~ spl2_94 ),
    inference(constrained_superposition,[],[f1516,f728]) ).

thf(f16632,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_63
    | ~ spl2_94 ),
    inference(trivial_inequality_removal,[],[f16609]) ).

thf(f16639,plain,
    ( ~ spl2_22
    | ~ spl2_63
    | ~ spl2_94 ),
    inference(avatar_split_clause,[],[f16632,f1515,f727,f252]) ).

thf(f16645,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_33
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f16421,f12370]) ).

thf(f16646,plain,
    ( ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_54
    | ~ spl2_282 ),
    inference(constrained_superposition,[],[f4998,f12370]) ).

thf(f16660,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_54
    | ~ spl2_282 ),
    inference(trivial_inequality_removal,[],[f16646]) ).

thf(f16665,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_33
    | ~ spl2_282 ),
    inference(trivial_inequality_removal,[],[f16645]) ).

thf(f16672,plain,
    ( spl2_55
    | spl2_54
    | ~ spl2_282 ),
    inference(avatar_split_clause,[],[f16660,f12369,f646,f649]) ).

thf(f16675,plain,
    ( $false
    | spl2_33
    | spl2_99
    | ~ spl2_282 ),
    inference(forward_subsumption_resolution,[],[f16665,f3460]) ).

thf(f16676,plain,
    ( spl2_33
    | spl2_99
    | ~ spl2_282 ),
    inference(avatar_contradiction_clause,[],[f16675]) ).

thf(f16745,definition,
    ( spl2_308
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).

thf(f16746,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_308 ),
    inference(avatar_component_clause,[],[f16745]) ).

thf(f16821,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_135 ),
    inference(constrained_superposition,[],[f495,f3507]) ).

thf(f16824,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_135 ),
    inference(constrained_superposition,[],[f94,f3507]) ).

thf(f16845,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_135 ),
    inference(trivial_inequality_removal,[],[f16824]) ).

thf(f16846,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_135 ),
    inference(trivial_inequality_removal,[],[f16821]) ).

thf(f16854,plain,
    ( ~ spl2_169
    | spl2_168
    | spl2_170
    | ~ spl2_135 ),
    inference(avatar_split_clause,[],[f16846,f3506,f4738,f4732,f4735]) ).

thf(f16988,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_140 ),
    inference(constrained_superposition,[],[f94,f3525]) ).

thf(f17001,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_140 ),
    inference(trivial_inequality_removal,[],[f16988]) ).

thf(f17058,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_168
    | ~ spl2_298 ),
    inference(constrained_superposition,[],[f4733,f16427]) ).

thf(f17061,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_168 ),
    inference(constrained_superposition,[],[f4733,f50]) ).

thf(f17064,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_168
    | ~ spl2_298 ),
    inference(trivial_inequality_removal,[],[f17058]) ).

thf(f17070,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ~ spl2_168 ),
    inference(trivial_inequality_removal,[],[f17061]) ).

thf(f17073,plain,
    ( $false
    | ~ spl2_63
    | ~ spl2_168
    | ~ spl2_298 ),
    inference(forward_subsumption_resolution,[],[f17064,f728]) ).

thf(f17074,plain,
    ( ~ spl2_63
    | ~ spl2_168
    | ~ spl2_298 ),
    inference(avatar_contradiction_clause,[],[f17073]) ).

thf(f17076,plain,
    ( ~ spl2_39
    | spl2_192
    | ~ spl2_168 ),
    inference(avatar_split_clause,[],[f17070,f4732,f5464,f538]) ).

thf(f17146,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_183
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f16191,f4945]) ).

thf(f17148,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_6
    | ~ spl2_183 ),
    inference(constrained_superposition,[],[f16125,f4945]) ).

thf(f17151,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_183
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f17146]) ).

thf(f17154,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_6
    | ~ spl2_183 ),
    inference(trivial_inequality_removal,[],[f17148]) ).

thf(f17156,plain,
    ( $false
    | ~ spl2_61
    | ~ spl2_183
    | ~ spl2_185 ),
    inference(forward_subsumption_resolution,[],[f17151,f720]) ).

thf(f17157,plain,
    ( ~ spl2_61
    | ~ spl2_183
    | ~ spl2_185 ),
    inference(avatar_contradiction_clause,[],[f17156]) ).

thf(f17158,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_6
    | ~ spl2_61
    | ~ spl2_183 ),
    inference(forward_subsumption_resolution,[],[f17154,f720]) ).

thf(f17160,plain,
    ( spl2_192
    | ~ spl2_6
    | ~ spl2_61
    | ~ spl2_183 ),
    inference(avatar_split_clause,[],[f17158,f4944,f719,f103,f5464]) ).

thf(f17163,definition,
    ( spl2_314
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_314])],[avatar_definition]) ).

thf(f17164,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_314 ),
    inference(avatar_component_clause,[],[f17163]) ).

thf(f17166,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_63 ),
    inference(avatar_component_clause,[],[f727]) ).

thf(f17170,plain,
    ( spl2_175
    | spl2_77
    | ~ spl2_122
    | ~ spl2_135 ),
    inference(avatar_split_clause,[],[f16845,f3506,f3069,f1113,f4758]) ).

thf(f17173,definition,
    ( spl2_315
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_315])],[avatar_definition]) ).

thf(f17174,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_315 ),
    inference(avatar_component_clause,[],[f17173]) ).

thf(f17185,plain,
    ( ~ spl2_122
    | spl2_266
    | spl2_175
    | ~ spl2_140 ),
    inference(avatar_split_clause,[],[f17001,f3524,f4758,f10903,f3069]) ).

thf(f17226,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_33 ),
    inference(constrained_superposition,[],[f26,f518]) ).

thf(f17229,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_33 ),
    inference(trivial_inequality_removal,[],[f17226]) ).

thf(f17277,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ sK1 ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f26,f5465]) ).

thf(f17278,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f17277]) ).

thf(f17353,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_88
    | ~ spl2_180 ),
    inference(constrained_superposition,[],[f1278,f4816]) ).

thf(f17358,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_88
    | ~ spl2_180 ),
    inference(trivial_inequality_removal,[],[f17353]) ).

thf(f17362,plain,
    ( $false
    | ~ spl2_88
    | ~ spl2_180
    | ~ spl2_185 ),
    inference(forward_subsumption_resolution,[],[f17358,f5371]) ).

thf(f17363,plain,
    ( ~ spl2_88
    | ~ spl2_180
    | ~ spl2_185 ),
    inference(avatar_contradiction_clause,[],[f17362]) ).

thf(f17370,plain,
    ( spl2_185
    | spl2_286 ),
    inference(avatar_split_clause,[],[f16206,f13262,f5047]) ).

thf(f17394,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl2_122 ),
    inference(constrained_superposition,[],[f3070,f25]) ).

thf(f17396,plain,
    ( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | spl2_122 ),
    inference(trivial_inequality_removal,[],[f17394]) ).

thf(f17399,plain,
    ( spl2_171
    | spl2_176
    | spl2_122 ),
    inference(avatar_split_clause,[],[f17396,f3069,f4774,f4743]) ).

thf(f17480,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_33
    | ~ spl2_183 ),
    inference(constrained_superposition,[],[f17229,f4945]) ).

thf(f17485,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_33
    | ~ spl2_183 ),
    inference(trivial_inequality_removal,[],[f17480]) ).

thf(f17509,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f17278,f161]) ).

thf(f17518,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f17509]) ).

thf(f17527,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_138 ),
    inference(constrained_superposition,[],[f193,f3517]) ).

thf(f17550,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_138 ),
    inference(trivial_inequality_removal,[],[f17527]) ).

thf(f17554,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_33
    | ~ spl2_138
    | ~ spl2_183 ),
    inference(forward_subsumption_resolution,[],[f17550,f17485]) ).

thf(f17555,plain,
    ( spl2_181
    | ~ spl2_33
    | ~ spl2_138
    | ~ spl2_183 ),
    inference(avatar_split_clause,[],[f17554,f4944,f3516,f517,f4937]) ).

thf(f17680,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_56 ),
    inference(constrained_superposition,[],[f701,f50]) ).

thf(f17683,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_56 ),
    inference(trivial_inequality_removal,[],[f17680]) ).

thf(f17690,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ~ spl2_139
    | ~ spl2_258 ),
    inference(constrained_superposition,[],[f9391,f3521]) ).

thf(f17697,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_139
    | ~ spl2_258 ),
    inference(trivial_inequality_removal,[],[f17690]) ).

thf(f17704,plain,
    ( ~ spl2_277
    | ~ spl2_76
    | ~ spl2_139
    | ~ spl2_258 ),
    inference(avatar_split_clause,[],[f17697,f9390,f3520,f1110,f11341]) ).

thf(f17709,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_125 ),
    inference(constrained_superposition,[],[f3444,f50]) ).

thf(f17717,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ sK1 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_125 ),
    inference(trivial_inequality_removal,[],[f17709]) ).

thf(f17719,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | spl2_31
    | ~ spl2_125 ),
    inference(forward_subsumption_resolution,[],[f17717,f5783]) ).

thf(f17720,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | spl2_31
    | ~ spl2_125
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f17719,f3521]) ).

thf(f17731,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | spl2_31
    | ~ spl2_125
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f17720]) ).

thf(f17734,plain,
    ( ~ spl2_191
    | spl2_31
    | ~ spl2_125
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f17731,f3520,f3443,f510,f5458]) ).

thf(f17756,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_59
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f712,f3521]) ).

thf(f17765,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_59
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f17756]) ).

thf(f17770,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_59
    | ~ spl2_139
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f17765,f16411]) ).

thf(f17771,plain,
    ( ~ spl2_76
    | ~ spl2_59
    | ~ spl2_139
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f17770,f16410,f3520,f711,f1110]) ).

thf(f17775,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_198 ),
    inference(constrained_superposition,[],[f5606,f162]) ).

thf(f17788,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_198 ),
    inference(trivial_inequality_removal,[],[f17775]) ).

thf(f17820,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_184 ),
    inference(constrained_superposition,[],[f5003,f162]) ).

thf(f17825,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_184 ),
    inference(constrained_superposition,[],[f5003,f51]) ).

thf(f17826,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_184 ),
    inference(trivial_inequality_removal,[],[f17825]) ).

thf(f17827,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_184 ),
    inference(trivial_inequality_removal,[],[f17820]) ).

thf(f17836,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_97
    | ~ spl2_135
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f16562,f3507]) ).

thf(f17839,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_97
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f16562,f80]) ).

thf(f17845,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_97
    | ~ spl2_135
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f17836]) ).

thf(f17846,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_97
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f17839]) ).

thf(f17854,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_97
    | ~ spl2_135
    | ~ spl2_296
    | ~ spl2_298 ),
    inference(forward_subsumption_resolution,[],[f17845,f16427]) ).

thf(f17855,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | spl2_77
    | spl2_97
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f17846,f4386]) ).

thf(f17856,plain,
    ( ~ spl2_124
    | spl2_97
    | ~ spl2_135
    | ~ spl2_296
    | ~ spl2_298 ),
    inference(avatar_split_clause,[],[f17854,f16426,f16410,f3506,f1579,f3086]) ).

thf(f17857,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_23
    | spl2_77
    | spl2_97
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f17855,f1126]) ).

thf(f17858,plain,
    ( $false
    | ~ spl2_23
    | ~ spl2_64
    | spl2_77
    | spl2_97
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f17857,f1280]) ).

thf(f17859,plain,
    ( ~ spl2_23
    | ~ spl2_64
    | spl2_77
    | spl2_97
    | ~ spl2_296 ),
    inference(avatar_contradiction_clause,[],[f17858]) ).

thf(f17865,plain,
    ( ~ spl2_16
    | spl2_63
    | ~ spl2_88 ),
    inference(avatar_split_clause,[],[f15958,f1277,f727,f208]) ).

thf(f17869,definition,
    ( spl2_317
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_317])],[avatar_definition]) ).

thf(f17870,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_317 ),
    inference(avatar_component_clause,[],[f17869]) ).

thf(f17872,plain,
    ( ~ spl2_25
    | spl2_204
    | ~ spl2_39
    | spl2_33
    | spl2_99 ),
    inference(avatar_split_clause,[],[f12186,f1635,f517,f538,f5741,f350]) ).

thf(f17877,plain,
    ( spl2_300
    | ~ spl2_16
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f16284,f103,f208,f16447]) ).

thf(f17879,plain,
    ( ~ spl2_23
    | spl2_97
    | ~ spl2_63
    | ~ spl2_184 ),
    inference(avatar_split_clause,[],[f17827,f5002,f727,f1579,f255]) ).

thf(f17884,plain,
    ( spl2_193
    | ~ spl2_39
    | ~ spl2_7
    | ~ spl2_184 ),
    inference(avatar_split_clause,[],[f17826,f5002,f125,f538,f5472]) ).

thf(f17914,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_63
    | ~ spl2_201 ),
    inference(constrained_superposition,[],[f5711,f728]) ).

thf(f17916,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f294,f728]) ).

thf(f17917,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
         != ( r @ X0 @ sK1 ) ) )
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f290,f728]) ).

thf(f17919,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_60
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f716,f728]) ).

thf(f17920,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_63
    | ~ spl2_288 ),
    inference(constrained_superposition,[],[f13363,f728]) ).

thf(f17921,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f193,f728]) ).

thf(f17922,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f151,f728]) ).

thf(f17923,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f94,f728]) ).

thf(f17924,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f79,f728]) ).

thf(f17925,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f75,f728]) ).

thf(f17926,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f58,f728]) ).

thf(f17933,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_60
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f17919]) ).

thf(f17934,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f17916]) ).

thf(f17935,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_63
    | ~ spl2_288 ),
    inference(trivial_inequality_removal,[],[f17920]) ).

thf(f17936,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_63
    | ~ spl2_201 ),
    inference(trivial_inequality_removal,[],[f17914]) ).

thf(f17937,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f17926]) ).

thf(f17940,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f17921]) ).

thf(f17941,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f17924]) ).

thf(f17944,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f17922]) ).

thf(f17945,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 ) )
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f17917]) ).

thf(f17946,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f17923]) ).

thf(f17948,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f17925]) ).

thf(f17951,plain,
    ( spl2_33
    | spl2_59
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f17940,f727,f711,f517]) ).

thf(f17974,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
    | ~ spl2_79 ),
    inference(constrained_superposition,[],[f1129,f161]) ).

thf(f17977,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true ) )
    | ~ spl2_79 ),
    inference(trivial_inequality_removal,[],[f17974]) ).

thf(f18020,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_63
    | ~ spl2_204 ),
    inference(constrained_superposition,[],[f5742,f728]) ).

thf(f18026,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_63
    | ~ spl2_204 ),
    inference(trivial_inequality_removal,[],[f18020]) ).

thf(f18086,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_59
    | ~ spl2_63 ),
    inference(constrained_superposition,[],[f712,f728]) ).

thf(f18087,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_59 ),
    inference(constrained_superposition,[],[f712,f80]) ).

thf(f18089,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ~ spl2_59 ),
    inference(constrained_superposition,[],[f712,f50]) ).

thf(f18092,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_59 ),
    inference(trivial_inequality_removal,[],[f18089]) ).

thf(f18096,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_59
    | ~ spl2_63 ),
    inference(duplicate_literal_removal,[],[f18086]) ).

thf(f18097,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_59
    | ~ spl2_63 ),
    inference(trivial_inequality_removal,[],[f18096]) ).

thf(f18098,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_59 ),
    inference(trivial_inequality_removal,[],[f18087]) ).

thf(f18101,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_135
    | ~ spl2_279 ),
    inference(constrained_superposition,[],[f11763,f3507]) ).

thf(f18110,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_135
    | ~ spl2_279 ),
    inference(trivial_inequality_removal,[],[f18101]) ).

thf(f18118,plain,
    ( ~ spl2_286
    | ~ spl2_169
    | ~ spl2_135
    | ~ spl2_279 ),
    inference(avatar_split_clause,[],[f18110,f11762,f3506,f4735,f13262]) ).

thf(f18121,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_138
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f17164,f3517]) ).

thf(f18135,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_138
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f18121]) ).

thf(f18139,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_314 ),
    inference(forward_subsumption_resolution,[],[f18135,f16411]) ).

thf(f18140,plain,
    ( ~ spl2_75
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_314 ),
    inference(avatar_split_clause,[],[f18139,f17163,f16410,f3516,f1107]) ).

thf(f18163,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_292
    | ~ spl2_298 ),
    inference(constrained_superposition,[],[f14238,f16427]) ).

thf(f18164,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_292 ),
    inference(constrained_superposition,[],[f14238,f80]) ).

thf(f18172,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_292 ),
    inference(trivial_inequality_removal,[],[f18164]) ).

thf(f18176,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_292
    | ~ spl2_298 ),
    inference(trivial_inequality_removal,[],[f18163]) ).

thf(f18179,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
     != $true )
    | spl2_185
    | ~ spl2_292 ),
    inference(forward_subsumption_resolution,[],[f18172,f5048]) ).

thf(f18180,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_292
    | ~ spl2_296
    | ~ spl2_298 ),
    inference(forward_subsumption_resolution,[],[f18176,f16411]) ).

thf(f18181,plain,
    ( ~ spl2_7
    | ~ spl2_277
    | spl2_185
    | ~ spl2_292 ),
    inference(avatar_split_clause,[],[f18179,f14237,f5047,f11341,f125]) ).

thf(f18182,plain,
    ( ~ spl2_25
    | ~ spl2_292
    | ~ spl2_296
    | ~ spl2_298 ),
    inference(avatar_split_clause,[],[f18180,f16426,f16410,f14237,f350]) ).

thf(f18183,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_308 ),
    inference(constrained_superposition,[],[f16746,f377]) ).

thf(f18185,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_138
    | ~ spl2_308 ),
    inference(constrained_superposition,[],[f16746,f3517]) ).

thf(f18193,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_138
    | ~ spl2_308 ),
    inference(trivial_inequality_removal,[],[f18185]) ).

thf(f18194,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_308 ),
    inference(trivial_inequality_removal,[],[f18183]) ).

thf(f18204,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_308 ),
    inference(forward_subsumption_resolution,[],[f18193,f16411]) ).

thf(f18206,plain,
    ( ~ spl2_76
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_308 ),
    inference(avatar_split_clause,[],[f18204,f16745,f16410,f3516,f1110]) ).

thf(f18213,plain,
    ( spl2_296
    | spl2_84 ),
    inference(avatar_split_clause,[],[f13484,f1255,f16410]) ).

thf(f18215,plain,
    ( ~ spl2_296
    | ~ spl2_76
    | ~ spl2_138
    | ~ spl2_308 ),
    inference(avatar_split_clause,[],[f18193,f16745,f3516,f1110,f16410]) ).

thf(f18249,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_123
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f14883,f5473]) ).

thf(f18252,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_123
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f18249]) ).

thf(f18253,plain,
    ( spl2_296
    | ~ spl2_123
    | ~ spl2_193 ),
    inference(avatar_split_clause,[],[f18252,f5472,f3077,f16410]) ).

thf(f18254,plain,
    ( spl2_31
    | ~ spl2_80
    | ~ spl2_25
    | ~ spl2_59 ),
    inference(avatar_split_clause,[],[f18092,f711,f350,f1147,f510]) ).

thf(f18255,plain,
    ( ~ spl2_80
    | spl2_31
    | ~ spl2_7
    | ~ spl2_56 ),
    inference(avatar_split_clause,[],[f17683,f700,f125,f510,f1147]) ).

thf(f18256,plain,
    ( ~ spl2_80
    | spl2_81
    | spl2_31
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f17937,f727,f510,f1150,f1147]) ).

thf(f18257,plain,
    ( ~ spl2_22
    | spl2_17
    | ~ spl2_63
    | ~ spl2_201 ),
    inference(avatar_split_clause,[],[f17936,f5710,f727,f212,f252]) ).

thf(f18258,plain,
    ( spl2_19
    | ~ spl2_63
    | ~ spl2_204 ),
    inference(avatar_split_clause,[],[f18026,f5741,f727,f219]) ).

thf(f18259,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_63
    | ~ spl2_198 ),
    inference(forward_subsumption_resolution,[],[f17788,f728]) ).

thf(f18260,plain,
    ( ~ spl2_22
    | ~ spl2_80
    | ~ spl2_60
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f17933,f727,f715,f1147,f252]) ).

thf(f18261,plain,
    ( ~ spl2_80
    | spl2_38
    | spl2_31
    | ~ spl2_25
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f17941,f727,f350,f510,f534,f1147]) ).

thf(f18262,plain,
    ( spl2_96
    | ~ spl2_39
    | spl2_19
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f17945,f727,f219,f538,f1558]) ).

thf(f18264,plain,
    ( ~ spl2_22
    | ~ spl2_59
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f18097,f727,f711,f252]) ).

thf(f18265,plain,
    ( ~ spl2_80
    | ~ spl2_64
    | ~ spl2_63
    | ~ spl2_288 ),
    inference(avatar_split_clause,[],[f17935,f13362,f727,f793,f1147]) ).

thf(f18266,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_63
    | ~ spl2_308 ),
    inference(forward_subsumption_resolution,[],[f18194,f728]) ).

thf(f18267,plain,
    ( ~ spl2_39
    | spl2_95
    | spl2_17
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f17934,f727,f212,f1554,f538]) ).

thf(f18268,plain,
    ( ~ spl2_17
    | spl2_298
    | ~ spl2_192 ),
    inference(avatar_split_clause,[],[f17518,f5464,f16426,f212]) ).

thf(f18269,plain,
    ( ~ spl2_80
    | spl2_97
    | ~ spl2_63
    | ~ spl2_198 ),
    inference(avatar_split_clause,[],[f18259,f5605,f727,f1579,f1147]) ).

thf(f18270,plain,
    ( ~ spl2_78
    | spl2_183
    | ~ spl2_63
    | ~ spl2_308 ),
    inference(avatar_split_clause,[],[f18266,f16745,f727,f4944,f1118]) ).

thf(f18300,plain,
    ( ( $true != $true )
    | ~ spl2_63
    | ~ spl2_70 ),
    inference(constrained_superposition,[],[f929,f728]) ).

thf(f18312,plain,
    ( $false
    | ~ spl2_63
    | ~ spl2_70 ),
    inference(trivial_inequality_removal,[],[f18300]) ).

thf(f18313,plain,
    ( ~ spl2_63
    | ~ spl2_70 ),
    inference(avatar_contradiction_clause,[],[f18312]) ).

thf(f18316,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_77 ),
    inference(constrained_superposition,[],[f176,f1114]) ).

thf(f18321,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_77 ),
    inference(trivial_inequality_removal,[],[f18316]) ).

thf(f18322,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_14
    | ~ spl2_77 ),
    inference(forward_subsumption_resolution,[],[f18321,f202]) ).

thf(f18323,plain,
    ( spl2_296
    | ~ spl2_14
    | ~ spl2_77 ),
    inference(avatar_split_clause,[],[f18322,f1113,f201,f16410]) ).

thf(f18351,plain,
    ( ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_76 ),
    inference(constrained_superposition,[],[f1111,f52]) ).

thf(f18352,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | spl2_76 ),
    inference(constrained_superposition,[],[f1111,f25]) ).

thf(f18355,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_76 ),
    inference(trivial_inequality_removal,[],[f18352]) ).

thf(f18356,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_76 ),
    inference(trivial_inequality_removal,[],[f18351]) ).

thf(f18358,plain,
    ( spl2_97
    | spl2_98
    | spl2_76 ),
    inference(avatar_split_clause,[],[f18355,f1110,f1583,f1579]) ).

thf(f18359,plain,
    ( spl2_97
    | spl2_55
    | spl2_76 ),
    inference(avatar_split_clause,[],[f18356,f1110,f649,f1579]) ).

thf(f18372,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_79
    | ~ spl2_171 ),
    inference(constrained_superposition,[],[f17977,f4744]) ).

thf(f18374,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_79
    | ~ spl2_171 ),
    inference(trivial_inequality_removal,[],[f18372]) ).

thf(f18376,plain,
    ( spl2_298
    | ~ spl2_79
    | ~ spl2_171 ),
    inference(avatar_split_clause,[],[f18374,f4743,f1128,f16426]) ).

thf(f18401,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_263 ),
    inference(constrained_superposition,[],[f377,f10129]) ).

thf(f18476,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_72
    | ~ spl2_263 ),
    inference(forward_subsumption_resolution,[],[f18401,f935]) ).

thf(f18478,plain,
    ( spl2_126
    | spl2_72
    | ~ spl2_263 ),
    inference(avatar_split_clause,[],[f18476,f10128,f934,f3446]) ).

thf(f18492,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_56
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f701,f3521]) ).

thf(f18493,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_60
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f716,f3521]) ).

thf(f18495,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f151,f3521]) ).

thf(f18498,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f75,f3521]) ).

thf(f18512,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f18498]) ).

thf(f18515,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_60
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f18493]) ).

thf(f18519,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f18495]) ).

thf(f18521,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_56
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f18492]) ).

thf(f18566,definition,
    ( spl2_320
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_320])],[avatar_definition]) ).

thf(f18567,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_320 ),
    inference(avatar_component_clause,[],[f18566]) ).

thf(f18574,plain,
    ( spl2_61
    | ~ spl2_23
    | ~ spl2_5
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f15666,f715,f100,f255,f719]) ).

thf(f18575,plain,
    ( ~ spl2_296
    | ~ spl2_75
    | ~ spl2_56
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f18521,f3520,f700,f1107,f16410]) ).

thf(f18576,plain,
    ( ~ spl2_64
    | spl2_61
    | ~ spl2_23
    | ~ spl2_59 ),
    inference(avatar_split_clause,[],[f18098,f711,f255,f719,f793]) ).

thf(f18577,plain,
    ( ~ spl2_119
    | ~ spl2_296
    | ~ spl2_60
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f18515,f3520,f715,f16410,f3054]) ).

thf(f18580,plain,
    ( spl2_62
    | ~ spl2_23
    | spl2_61
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f17946,f727,f719,f255,f722]) ).

thf(f18582,plain,
    ( spl2_198
    | spl2_38
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f18512,f3520,f534,f5605]) ).

thf(f18584,plain,
    ( spl2_54
    | spl2_56
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f17944,f727,f700,f646]) ).

thf(f18585,plain,
    ( spl2_184
    | spl2_54
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f18519,f3520,f646,f5002]) ).

thf(f18586,plain,
    ( spl2_60
    | spl2_38
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f17948,f727,f534,f715]) ).

thf(f18624,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | spl2_36 ),
    inference(constrained_superposition,[],[f528,f25]) ).

thf(f18625,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_36 ),
    inference(trivial_inequality_removal,[],[f18624]) ).

thf(f18628,plain,
    ( spl2_55
    | spl2_54
    | spl2_36 ),
    inference(avatar_split_clause,[],[f18625,f527,f646,f649]) ).

thf(f18825,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_183 ),
    inference(constrained_superposition,[],[f26,f4945]) ).

thf(f18826,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_183 ),
    inference(trivial_inequality_removal,[],[f18825]) ).

thf(f18928,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f26,f3510]) ).

thf(f18929,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f18928]) ).

thf(f18932,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f176,f3514]) ).

thf(f18934,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f18932]) ).

thf(f19009,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_183
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f18826,f5371]) ).

thf(f19013,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_183
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f19009]) ).

thf(f19017,plain,
    ( $false
    | ~ spl2_54
    | ~ spl2_183
    | ~ spl2_185 ),
    inference(forward_subsumption_resolution,[],[f19013,f647]) ).

thf(f19018,plain,
    ( ~ spl2_54
    | ~ spl2_183
    | ~ spl2_185 ),
    inference(avatar_contradiction_clause,[],[f19017]) ).

thf(f19019,plain,
    ( spl2_298
    | ~ spl2_84
    | ~ spl2_137 ),
    inference(avatar_split_clause,[],[f18934,f3513,f1255,f16426]) ).

thf(f19137,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_87 ),
    inference(constrained_superposition,[],[f26,f1268]) ).

thf(f19141,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_87 ),
    inference(trivial_inequality_removal,[],[f19137]) ).

thf(f19193,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = sK1 )
    | spl2_139 ),
    inference(constrained_superposition,[],[f10414,f163]) ).

thf(f19198,plain,
    ( ( ( sK0 @ sK1 )
      = sK1 )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_139 ),
    inference(trivial_inequality_removal,[],[f19193]) ).

thf(f19226,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_31
    | ~ spl2_87 ),
    inference(constrained_superposition,[],[f19141,f511]) ).

thf(f19231,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_31
    | ~ spl2_87 ),
    inference(trivial_inequality_removal,[],[f19226]) ).

thf(f19233,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_31
    | ~ spl2_87 ),
    inference(forward_subsumption_resolution,[],[f19231,f220]) ).

thf(f19234,plain,
    ( ~ spl2_19
    | ~ spl2_31
    | ~ spl2_87 ),
    inference(avatar_contradiction_clause,[],[f19233]) ).

thf(f19324,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_63
    | ~ spl2_253 ),
    inference(constrained_superposition,[],[f9027,f728]) ).

thf(f19338,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_63
    | ~ spl2_253 ),
    inference(trivial_inequality_removal,[],[f19324]) ).

thf(f19345,plain,
    ( ~ spl2_64
    | ~ spl2_23
    | ~ spl2_63
    | ~ spl2_253 ),
    inference(avatar_split_clause,[],[f19338,f9026,f727,f255,f793]) ).

thf(f19401,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_192 ),
    inference(constrained_superposition,[],[f176,f5465]) ).

thf(f19404,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_192 ),
    inference(trivial_inequality_removal,[],[f19401]) ).

thf(f19405,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_19
    | ~ spl2_192 ),
    inference(forward_subsumption_resolution,[],[f19404,f220]) ).

thf(f19406,plain,
    ( spl2_298
    | ~ spl2_19
    | ~ spl2_192 ),
    inference(avatar_split_clause,[],[f19405,f5464,f219,f16426]) ).

thf(f19423,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_177 ),
    inference(constrained_superposition,[],[f26,f4795]) ).

thf(f19424,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_177 ),
    inference(trivial_inequality_removal,[],[f19423]) ).

thf(f19480,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_94 ),
    inference(constrained_superposition,[],[f1516,f50]) ).

thf(f19488,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ~ spl2_94 ),
    inference(trivial_inequality_removal,[],[f19480]) ).

thf(f19506,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_138 ),
    inference(constrained_superposition,[],[f151,f3517]) ).

thf(f19510,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_138 ),
    inference(constrained_superposition,[],[f58,f3517]) ).

thf(f19516,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_138 ),
    inference(trivial_inequality_removal,[],[f19506]) ).

thf(f19518,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_138 ),
    inference(trivial_inequality_removal,[],[f19510]) ).

thf(f19530,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_138
    | spl2_171 ),
    inference(forward_subsumption_resolution,[],[f19516,f14574]) ).

thf(f19535,plain,
    ( spl2_186
    | ~ spl2_138
    | spl2_171 ),
    inference(avatar_split_clause,[],[f19530,f4743,f3516,f5363]) ).

thf(f19538,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_136
    | ~ spl2_177 ),
    inference(constrained_superposition,[],[f19424,f3510]) ).

thf(f19544,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_136
    | ~ spl2_177 ),
    inference(trivial_inequality_removal,[],[f19538]) ).

thf(f19571,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_136
    | ~ spl2_177 ),
    inference(constrained_superposition,[],[f18929,f4795]) ).

thf(f19572,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_136
    | ~ spl2_177 ),
    inference(trivial_inequality_removal,[],[f19571]) ).

thf(f19660,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f17174,f377]) ).

thf(f19675,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f19660]) ).

thf(f19676,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_63
    | ~ spl2_315 ),
    inference(forward_subsumption_resolution,[],[f19675,f728]) ).

thf(f19677,plain,
    ( spl2_170
    | ~ spl2_36
    | ~ spl2_63
    | ~ spl2_315 ),
    inference(avatar_split_clause,[],[f19676,f17173,f727,f527,f4738]) ).

thf(f19679,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_138
    | ~ spl2_320 ),
    inference(constrained_superposition,[],[f18567,f3517]) ).

thf(f19682,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_320 ),
    inference(constrained_superposition,[],[f18567,f80]) ).

thf(f19689,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_138
    | ~ spl2_320 ),
    inference(trivial_inequality_removal,[],[f19679]) ).

thf(f19695,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_320 ),
    inference(trivial_inequality_removal,[],[f19682]) ).

thf(f19696,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_320 ),
    inference(forward_subsumption_resolution,[],[f19689,f16411]) ).

thf(f19697,plain,
    ( ~ spl2_119
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_320 ),
    inference(avatar_split_clause,[],[f19696,f18566,f16410,f3516,f3054]) ).

thf(f19700,plain,
    ( ~ spl2_119
    | ~ spl2_296
    | ~ spl2_138
    | ~ spl2_320 ),
    inference(avatar_split_clause,[],[f19689,f18566,f3516,f16410,f3054]) ).

thf(f19703,plain,
    ( ~ spl2_119
    | spl2_192
    | spl2_217
    | ~ spl2_138 ),
    inference(avatar_split_clause,[],[f19518,f3516,f7091,f5464,f3054]) ).

thf(f19704,plain,
    ( ~ spl2_84
    | ~ spl2_136
    | ~ spl2_177 ),
    inference(avatar_split_clause,[],[f19572,f4794,f3509,f1255]) ).

thf(f19708,plain,
    ( ~ spl2_97
    | ~ spl2_136
    | ~ spl2_177 ),
    inference(avatar_split_clause,[],[f19544,f4794,f3509,f1579]) ).

thf(f19709,plain,
    ( spl2_31
    | ~ spl2_25
    | ~ spl2_94 ),
    inference(avatar_split_clause,[],[f19488,f1515,f350,f510]) ).

thf(f19712,plain,
    ( ~ spl2_5
    | ~ spl2_23
    | spl2_185
    | ~ spl2_320 ),
    inference(avatar_split_clause,[],[f19695,f18566,f5047,f255,f100]) ).

thf(f19764,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f151,f1280]) ).

thf(f19773,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f27,f1280]) ).

thf(f19776,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f19764]) ).

thf(f19784,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X1 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f19773]) ).

thf(f19806,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_61 ),
    inference(constrained_superposition,[],[f176,f720]) ).

thf(f19808,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_61 ),
    inference(trivial_inequality_removal,[],[f19806]) ).

thf(f19843,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f495,f16411]) ).

thf(f19862,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f19843]) ).

thf(f19878,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | spl2_87
    | ~ spl2_283 ),
    inference(constrained_superposition,[],[f13275,f12373]) ).

thf(f19887,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_87
    | ~ spl2_283 ),
    inference(trivial_inequality_removal,[],[f19878]) ).

thf(f19894,plain,
    ( $false
    | spl2_87
    | spl2_99
    | ~ spl2_283 ),
    inference(forward_subsumption_resolution,[],[f19887,f3460]) ).

thf(f19895,plain,
    ( spl2_87
    | spl2_99
    | ~ spl2_283 ),
    inference(avatar_contradiction_clause,[],[f19894]) ).

thf(f19908,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f176,f5371]) ).

thf(f19910,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f19908]) ).

thf(f20009,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f26,f3514]) ).

thf(f20012,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f20009]) ).

thf(f20101,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f20012,f161]) ).

thf(f20108,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f20101]) ).

thf(f20117,plain,
    ( ~ spl2_14
    | spl2_298
    | ~ spl2_185 ),
    inference(avatar_split_clause,[],[f19910,f5047,f16426,f201]) ).

thf(f20120,plain,
    ( ~ spl2_97
    | spl2_298
    | ~ spl2_137 ),
    inference(avatar_split_clause,[],[f20108,f3513,f16426,f1579]) ).

thf(f20122,plain,
    ( spl2_92
    | spl2_14
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f19776,f793,f201,f1443]) ).

thf(f20201,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_298 ),
    inference(constrained_superposition,[],[f495,f16427]) ).

thf(f20218,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_298 ),
    inference(trivial_inequality_removal,[],[f20201]) ).

thf(f20315,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_296
    | ~ spl2_302 ),
    inference(constrained_superposition,[],[f16552,f16411]) ).

thf(f20316,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_302 ),
    inference(constrained_superposition,[],[f16552,f80]) ).

thf(f20321,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_302 ),
    inference(trivial_inequality_removal,[],[f20316]) ).

thf(f20322,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_296
    | ~ spl2_302 ),
    inference(trivial_inequality_removal,[],[f20315]) ).

thf(f20345,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_320 ),
    inference(constrained_superposition,[],[f18567,f377]) ).

thf(f20354,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_320 ),
    inference(trivial_inequality_removal,[],[f20345]) ).

thf(f20365,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f19784,f50]) ).

thf(f20376,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f20365]) ).

thf(f20398,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_6 ),
    inference(constrained_superposition,[],[f176,f104]) ).

thf(f20407,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_6 ),
    inference(trivial_inequality_removal,[],[f20398]) ).

thf(f20412,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
    | ~ spl2_6
    | ~ spl2_14 ),
    inference(forward_subsumption_resolution,[],[f20407,f202]) ).

thf(f20413,plain,
    ( spl2_300
    | ~ spl2_6
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f20412,f201,f103,f16447]) ).

thf(f20441,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_317 ),
    inference(constrained_superposition,[],[f17870,f377]) ).

thf(f20443,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_296
    | ~ spl2_317 ),
    inference(constrained_superposition,[],[f17870,f16411]) ).

thf(f20449,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_296
    | ~ spl2_317 ),
    inference(duplicate_literal_removal,[],[f20443]) ).

thf(f20450,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_296
    | ~ spl2_317 ),
    inference(trivial_inequality_removal,[],[f20449]) ).

thf(f20451,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_317 ),
    inference(trivial_inequality_removal,[],[f20441]) ).

thf(f20465,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_139 ),
    inference(forward_subsumption_resolution,[],[f19198,f49]) ).

thf(f20468,plain,
    ( ~ spl2_22
    | ~ spl2_296
    | ~ spl2_317 ),
    inference(avatar_split_clause,[],[f20450,f17869,f16410,f252]) ).

thf(f20470,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_63
    | ~ spl2_320 ),
    inference(forward_subsumption_resolution,[],[f20354,f728]) ).

thf(f20474,plain,
    ( spl2_133
    | spl2_139 ),
    inference(avatar_split_clause,[],[f20465,f3520,f3481]) ).

thf(f20475,plain,
    ( spl2_183
    | ~ spl2_29
    | ~ spl2_63
    | ~ spl2_320 ),
    inference(avatar_split_clause,[],[f20470,f18566,f727,f503,f4944]) ).

thf(f20476,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_77
    | ~ spl2_302 ),
    inference(forward_subsumption_resolution,[],[f20321,f4386]) ).

thf(f20483,plain,
    ( ~ spl2_63
    | spl2_170
    | spl2_94
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f19862,f16410,f1515,f4738,f727]) ).

thf(f20486,plain,
    ( ~ spl2_22
    | ~ spl2_80
    | ~ spl2_296
    | ~ spl2_302 ),
    inference(avatar_split_clause,[],[f20322,f16551,f16410,f1147,f252]) ).

thf(f20488,plain,
    ( spl2_170
    | ~ spl2_78
    | ~ spl2_63
    | ~ spl2_317 ),
    inference(avatar_split_clause,[],[f20451,f17869,f727,f1118,f4738]) ).

thf(f20494,plain,
    ( ~ spl2_7
    | spl2_4
    | spl2_17
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f20376,f793,f212,f97,f125]) ).

thf(f20495,plain,
    ( ~ spl2_14
    | spl2_63
    | ~ spl2_61 ),
    inference(avatar_split_clause,[],[f19808,f719,f727,f201]) ).

thf(f20499,plain,
    ( spl2_94
    | ~ spl2_63
    | spl2_183
    | ~ spl2_298 ),
    inference(avatar_split_clause,[],[f20218,f16426,f4944,f727,f1515]) ).

thf(f20501,plain,
    ( ~ spl2_23
    | ~ spl2_5
    | spl2_77
    | ~ spl2_302 ),
    inference(avatar_split_clause,[],[f20476,f16551,f1113,f100,f255]) ).

thf(f20509,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ sK1 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl2_41 ),
    inference(constrained_superposition,[],[f26,f556]) ).

thf(f20510,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_41 ),
    inference(trivial_inequality_removal,[],[f20509]) ).

thf(f20523,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
    | spl2_99 ),
    inference(extensionality_resolution,[],[f294,f3460]) ).

thf(f20525,plain,
    ( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_99 ),
    inference(extensionality_resolution,[],[f163,f3460]) ).

thf(f20527,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ X0 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
    | spl2_99 ),
    inference(extensionality_resolution,[],[f290,f3460]) ).

thf(f20528,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ X0 ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
    | spl2_99 ),
    inference(extensionality_resolution,[],[f290,f3460]) ).

thf(f20531,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_99 ),
    inference(extensionality_resolution,[],[f82,f3460]) ).

thf(f20532,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_99 ),
    inference(extensionality_resolution,[],[f82,f3460]) ).

thf(f20534,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_99 ),
    inference(extensionality_resolution,[],[f52,f3460]) ).

thf(f20539,plain,
    ( ~ spl2_39
    | ~ spl2_25
    | spl2_202
    | spl2_87
    | spl2_99 ),
    inference(avatar_split_clause,[],[f20527,f1635,f1267,f5714,f350,f538]) ).

thf(f20540,plain,
    ( spl2_201
    | spl2_87
    | ~ spl2_25
    | spl2_99 ),
    inference(avatar_split_clause,[],[f20523,f1635,f350,f1267,f5710]) ).

thf(f20541,plain,
    ( spl2_140
    | spl2_141
    | spl2_99 ),
    inference(avatar_split_clause,[],[f20525,f1635,f3527,f3524]) ).

thf(f20542,plain,
    ( spl2_138
    | spl2_137
    | spl2_99 ),
    inference(avatar_split_clause,[],[f20531,f1635,f3513,f3516]) ).

thf(f20543,plain,
    ( spl2_136
    | spl2_135
    | spl2_99 ),
    inference(avatar_split_clause,[],[f20532,f1635,f3506,f3509]) ).

thf(f20544,plain,
    ( ~ spl2_25
    | spl2_204
    | ~ spl2_39
    | spl2_33
    | spl2_99 ),
    inference(avatar_split_clause,[],[f20528,f1635,f517,f538,f5741,f350]) ).

thf(f20545,plain,
    ( spl2_133
    | spl2_139
    | spl2_99 ),
    inference(avatar_split_clause,[],[f20534,f1635,f3520,f3481]) ).

thf(f20573,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_54 ),
    inference(constrained_superposition,[],[f26,f647]) ).

thf(f20574,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_54 ),
    inference(trivial_inequality_removal,[],[f20573]) ).

thf(f20601,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_87 ),
    inference(constrained_superposition,[],[f26,f1268]) ).

thf(f20602,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_87 ),
    inference(trivial_inequality_removal,[],[f20601]) ).

thf(f20605,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_41
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f20510,f4354]) ).

thf(f20607,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_41
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f20605]) ).

thf(f20609,plain,
    ( $false
    | ~ spl2_41
    | ~ spl2_165
    | ~ spl2_188 ),
    inference(forward_subsumption_resolution,[],[f20607,f5448]) ).

thf(f20610,plain,
    ( ~ spl2_41
    | ~ spl2_165
    | ~ spl2_188 ),
    inference(avatar_contradiction_clause,[],[f20609]) ).

thf(f20624,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ sK1 @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f26,f5473]) ).

thf(f20625,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ sK1 @ X0 ) ) )
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f20624]) ).

thf(f20661,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_41
    | ~ spl2_171 ),
    inference(constrained_superposition,[],[f20510,f4744]) ).

thf(f20664,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_41
    | ~ spl2_171 ),
    inference(trivial_inequality_removal,[],[f20661]) ).

thf(f20665,plain,
    ( $false
    | ~ spl2_41
    | ~ spl2_171
    | ~ spl2_192 ),
    inference(forward_subsumption_resolution,[],[f20664,f5465]) ).

thf(f20666,plain,
    ( ~ spl2_41
    | ~ spl2_171
    | ~ spl2_192 ),
    inference(avatar_contradiction_clause,[],[f20665]) ).

thf(f20753,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_54
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f20574,f4739]) ).

thf(f20755,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_54
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f20753]) ).

thf(f20758,plain,
    ( $false
    | ~ spl2_54
    | ~ spl2_165
    | ~ spl2_170 ),
    inference(forward_subsumption_resolution,[],[f20755,f4354]) ).

thf(f20759,plain,
    ( ~ spl2_54
    | ~ spl2_165
    | ~ spl2_170 ),
    inference(avatar_contradiction_clause,[],[f20758]) ).

thf(f20765,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_165
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f20625,f4354]) ).

thf(f20768,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_165
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f20765]) ).

thf(f20771,plain,
    ( $false
    | ~ spl2_48
    | ~ spl2_165
    | ~ spl2_193 ),
    inference(forward_subsumption_resolution,[],[f20768,f584]) ).

thf(f20772,plain,
    ( ~ spl2_48
    | ~ spl2_165
    | ~ spl2_193 ),
    inference(avatar_contradiction_clause,[],[f20771]) ).

thf(f20855,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_183 ),
    inference(constrained_superposition,[],[f176,f4945]) ).

thf(f20859,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_183 ),
    inference(trivial_inequality_removal,[],[f20855]) ).

thf(f20860,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_87
    | ~ spl2_183 ),
    inference(forward_subsumption_resolution,[],[f20859,f1268]) ).

thf(f20863,plain,
    ( spl2_298
    | ~ spl2_87
    | ~ spl2_183 ),
    inference(avatar_split_clause,[],[f20860,f4944,f1267,f16426]) ).

thf(f20874,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_188 ),
    inference(constrained_superposition,[],[f176,f5448]) ).

thf(f20877,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_188 ),
    inference(trivial_inequality_removal,[],[f20874]) ).

thf(f20890,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_79
    | ~ spl2_87 ),
    inference(constrained_superposition,[],[f1129,f1268]) ).

thf(f20894,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_79
    | ~ spl2_87 ),
    inference(trivial_inequality_removal,[],[f20890]) ).

thf(f20898,plain,
    ( $false
    | ~ spl2_54
    | ~ spl2_79
    | ~ spl2_87 ),
    inference(forward_subsumption_resolution,[],[f20894,f647]) ).

thf(f20899,plain,
    ( ~ spl2_54
    | ~ spl2_79
    | ~ spl2_87 ),
    inference(avatar_contradiction_clause,[],[f20898]) ).

thf(f20901,plain,
    ( spl2_296
    | ~ spl2_19
    | ~ spl2_188 ),
    inference(avatar_split_clause,[],[f20877,f5447,f219,f16410]) ).

thf(f20924,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true != $true ) )
    | ~ spl2_23 ),
    inference(constrained_superposition,[],[f290,f1126]) ).

thf(f20941,plain,
    ( ! [X0: $i] :
        ( ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
         != ( r @ X0 @ sK1 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
        | ( $true
          = ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_23 ),
    inference(trivial_inequality_removal,[],[f20924]) ).

thf(f20949,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true != $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f79,f1280]) ).

thf(f20951,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f58,f1280]) ).

thf(f20957,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f20949]) ).

thf(f20967,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f20951]) ).

thf(f20994,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_84
    | ~ spl2_123 ),
    inference(constrained_superposition,[],[f3078,f1256]) ).

thf(f20997,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_84
    | ~ spl2_123 ),
    inference(trivial_inequality_removal,[],[f20994]) ).

thf(f21069,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_298 ),
    inference(constrained_superposition,[],[f151,f16427]) ).

thf(f21070,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true ) )
    | ~ spl2_298 ),
    inference(constrained_superposition,[],[f94,f16427]) ).

thf(f21071,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_298 ),
    inference(constrained_superposition,[],[f79,f16427]) ).

thf(f21072,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_298 ),
    inference(constrained_superposition,[],[f75,f16427]) ).

thf(f21073,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_298 ),
    inference(constrained_superposition,[],[f58,f16427]) ).

thf(f21080,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_298 ),
    inference(trivial_inequality_removal,[],[f21070]) ).

thf(f21082,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_298 ),
    inference(trivial_inequality_removal,[],[f21073]) ).

thf(f21083,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
          = $true ) )
    | ~ spl2_298 ),
    inference(trivial_inequality_removal,[],[f21069]) ).

thf(f21091,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_298 ),
    inference(trivial_inequality_removal,[],[f21072]) ).

thf(f21092,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_298 ),
    inference(trivial_inequality_removal,[],[f21071]) ).

thf(f21096,plain,
    ( spl2_320
    | spl2_190
    | ~ spl2_298 ),
    inference(avatar_split_clause,[],[f21091,f16426,f5455,f18566]) ).

thf(f21164,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_139
    | ~ spl2_204 ),
    inference(constrained_superposition,[],[f5742,f3521]) ).

thf(f21174,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_139
    | ~ spl2_204 ),
    inference(trivial_inequality_removal,[],[f21164]) ).

thf(f21176,plain,
    ( $false
    | ~ spl2_84
    | ~ spl2_123
    | ~ spl2_139
    | ~ spl2_204 ),
    inference(forward_subsumption_resolution,[],[f21174,f20997]) ).

thf(f21177,plain,
    ( ~ spl2_84
    | ~ spl2_123
    | ~ spl2_139
    | ~ spl2_204 ),
    inference(avatar_contradiction_clause,[],[f21176]) ).

thf(f21178,plain,
    ( spl2_193
    | ~ spl2_139
    | ~ spl2_204 ),
    inference(avatar_split_clause,[],[f21174,f5741,f3520,f5472]) ).

thf(f21181,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_33 ),
    inference(constrained_superposition,[],[f26,f518]) ).

thf(f21183,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_33 ),
    inference(trivial_inequality_removal,[],[f21181]) ).

thf(f21190,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_33
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f21183,f4739]) ).

thf(f21193,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_33
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f21190]) ).

thf(f21197,plain,
    ( $false
    | ~ spl2_33
    | ~ spl2_97
    | ~ spl2_170 ),
    inference(forward_subsumption_resolution,[],[f21193,f1580]) ).

thf(f21198,plain,
    ( ~ spl2_33
    | ~ spl2_97
    | ~ spl2_170 ),
    inference(avatar_contradiction_clause,[],[f21197]) ).

thf(f21200,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_23
    | ~ spl2_298 ),
    inference(forward_subsumption_resolution,[],[f21080,f1126]) ).

thf(f21202,plain,
    ( spl2_62
    | spl2_185
    | ~ spl2_23
    | ~ spl2_298 ),
    inference(avatar_split_clause,[],[f21200,f16426,f255,f5047,f722]) ).

thf(f21230,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_87
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f20602,f3482]) ).

thf(f21234,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_87
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f21230]) ).

thf(f21238,plain,
    ( $false
    | ~ spl2_84
    | ~ spl2_87
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f21234,f1256]) ).

thf(f21239,plain,
    ( ~ spl2_84
    | ~ spl2_87
    | ~ spl2_133 ),
    inference(avatar_contradiction_clause,[],[f21238]) ).

thf(f21244,plain,
    ( spl2_19
    | spl2_44
    | ~ spl2_7
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f20941,f255,f125,f566,f219]) ).

thf(f21245,plain,
    ( spl2_4
    | spl2_17
    | ~ spl2_5
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f20967,f793,f100,f212,f97]) ).

thf(f21246,plain,
    ( spl2_190
    | ~ spl2_80
    | ~ spl2_25
    | spl2_192
    | ~ spl2_298 ),
    inference(avatar_split_clause,[],[f21092,f16426,f5464,f350,f1147,f5455]) ).

thf(f21248,plain,
    ( ~ spl2_5
    | ~ spl2_7
    | spl2_19
    | spl2_17
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f20957,f793,f212,f219,f125,f100]) ).

thf(f21250,plain,
    ( spl2_81
    | spl2_192
    | ~ spl2_80
    | ~ spl2_298 ),
    inference(avatar_split_clause,[],[f21082,f16426,f1147,f5464,f1150]) ).

thf(f21251,plain,
    ( spl2_314
    | spl2_171
    | ~ spl2_298 ),
    inference(avatar_split_clause,[],[f21083,f16426,f4743,f17163]) ).

thf(f21271,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_38
    | ~ spl2_54 ),
    inference(constrained_superposition,[],[f20574,f535]) ).

thf(f21274,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_38
    | ~ spl2_54 ),
    inference(trivial_inequality_removal,[],[f21271]) ).

thf(f21275,plain,
    ( $false
    | ~ spl2_38
    | ~ spl2_41
    | ~ spl2_54 ),
    inference(forward_subsumption_resolution,[],[f21274,f556]) ).

thf(f21276,plain,
    ( ~ spl2_38
    | ~ spl2_41
    | ~ spl2_54 ),
    inference(avatar_contradiction_clause,[],[f21275]) ).

thf(f21337,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_77
    | ~ spl2_167 ),
    inference(constrained_superposition,[],[f4567,f1114]) ).

thf(f21340,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_77
    | ~ spl2_167 ),
    inference(trivial_inequality_removal,[],[f21337]) ).

thf(f21392,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f94,f16411]) ).

thf(f21393,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f79,f16411]) ).

thf(f21394,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f75,f16411]) ).

thf(f21403,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f21394]) ).

thf(f21409,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f21392]) ).

thf(f21411,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f21393]) ).

thf(f21416,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_77
    | ~ spl2_167
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f21403,f21340]) ).

thf(f21419,plain,
    ( spl2_302
    | ~ spl2_77
    | ~ spl2_167
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f21416,f16410,f4566,f1113,f16551]) ).

thf(f21442,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f26,f3482]) ).

thf(f21444,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f21442]) ).

thf(f21489,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_217
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f7092,f16411]) ).

thf(f21497,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_217
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f21489]) ).

thf(f21503,plain,
    ( ~ spl2_80
    | ~ spl2_217
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f21497,f16410,f7091,f1147]) ).

thf(f21506,plain,
    ( spl2_193
    | spl2_302
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f21403,f16410,f16551,f5472]) ).

thf(f21507,plain,
    ( ~ spl2_25
    | spl2_188
    | spl2_193
    | ~ spl2_80
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f21411,f16410,f1147,f5472,f5447,f350]) ).

thf(f21511,plain,
    ( ~ spl2_23
    | spl2_62
    | spl2_77
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f21409,f16410,f1113,f722,f255]) ).

thf(f21575,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_132
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f3478,f4739]) ).

thf(f21579,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_132
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f21575]) ).

thf(f21581,plain,
    ( $false
    | ~ spl2_132
    | ~ spl2_170
    | ~ spl2_193 ),
    inference(forward_subsumption_resolution,[],[f21579,f5473]) ).

thf(f21582,plain,
    ( ~ spl2_132
    | ~ spl2_170
    | ~ spl2_193 ),
    inference(avatar_contradiction_clause,[],[f21581]) ).

thf(f21617,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_180 ),
    inference(constrained_superposition,[],[f176,f4816]) ).

thf(f21620,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_180 ),
    inference(trivial_inequality_removal,[],[f21617]) ).

thf(f21622,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_63
    | ~ spl2_180 ),
    inference(forward_subsumption_resolution,[],[f21620,f17166]) ).

thf(f21625,plain,
    ( $false
    | spl2_63
    | ~ spl2_121
    | ~ spl2_180 ),
    inference(forward_subsumption_resolution,[],[f21622,f3067]) ).

thf(f21626,plain,
    ( spl2_63
    | ~ spl2_121
    | ~ spl2_180 ),
    inference(avatar_contradiction_clause,[],[f21625]) ).

thf(f21693,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f176,f3510]) ).

thf(f21696,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f21693]) ).

thf(f21703,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl2_138 ),
    inference(constrained_superposition,[],[f495,f3517]) ).

thf(f21706,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_138 ),
    inference(constrained_superposition,[],[f94,f3517]) ).

thf(f21707,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_138 ),
    inference(constrained_superposition,[],[f79,f3517]) ).

thf(f21708,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_138 ),
    inference(constrained_superposition,[],[f75,f3517]) ).

thf(f21709,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_138 ),
    inference(constrained_superposition,[],[f58,f3517]) ).

thf(f21717,plain,
    ( ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_138 ),
    inference(trivial_inequality_removal,[],[f21707]) ).

thf(f21722,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_138 ),
    inference(trivial_inequality_removal,[],[f21706]) ).

thf(f21724,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_138 ),
    inference(trivial_inequality_removal,[],[f21708]) ).

thf(f21726,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_138 ),
    inference(trivial_inequality_removal,[],[f21709]) ).

thf(f21727,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_138 ),
    inference(trivial_inequality_removal,[],[f21703]) ).

thf(f21732,plain,
    ( spl2_190
    | spl2_259
    | ~ spl2_138 ),
    inference(avatar_split_clause,[],[f21724,f3516,f9755,f5455]) ).

thf(f21804,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f21444,f1580]) ).

thf(f21808,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f21804]) ).

thf(f21810,plain,
    ( $false
    | ~ spl2_87
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f21808,f1268]) ).

thf(f21811,plain,
    ( ~ spl2_87
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(avatar_contradiction_clause,[],[f21810]) ).

thf(f21814,plain,
    ( spl2_183
    | spl2_182
    | ~ spl2_139
    | ~ spl2_138 ),
    inference(avatar_split_clause,[],[f21727,f3516,f3520,f4941,f4944]) ).

thf(f21815,plain,
    ( ~ spl2_191
    | spl2_192
    | spl2_190
    | ~ spl2_119
    | ~ spl2_138 ),
    inference(avatar_split_clause,[],[f21717,f3516,f3054,f5455,f5464,f5458]) ).

thf(f21816,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_138
    | spl2_185 ),
    inference(forward_subsumption_resolution,[],[f21722,f5048]) ).

thf(f21819,plain,
    ( spl2_217
    | spl2_192
    | ~ spl2_119
    | ~ spl2_138 ),
    inference(avatar_split_clause,[],[f21726,f3516,f3054,f5464,f7091]) ).

thf(f21820,plain,
    ( spl2_296
    | ~ spl2_121
    | ~ spl2_136 ),
    inference(avatar_split_clause,[],[f21696,f3509,f3066,f16410]) ).

thf(f21821,plain,
    ( ~ spl2_75
    | spl2_162
    | ~ spl2_138
    | spl2_185 ),
    inference(avatar_split_clause,[],[f21816,f5047,f3516,f4334,f1107]) ).

thf(f21902,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_178 ),
    inference(constrained_superposition,[],[f161,f4798]) ).

thf(f21910,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_178 ),
    inference(constrained_superposition,[],[f495,f4798]) ).

thf(f21960,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_178 ),
    inference(duplicate_literal_removal,[],[f21910]) ).

thf(f21963,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_11
    | ~ spl2_178 ),
    inference(forward_subsumption_resolution,[],[f21902,f182]) ).

thf(f21970,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_22 ),
    inference(avatar_component_clause,[],[f252]) ).

thf(f21976,plain,
    ( spl2_125
    | spl2_126
    | ~ spl2_178 ),
    inference(avatar_split_clause,[],[f21960,f4797,f3446,f3443]) ).

thf(f21979,plain,
    ( spl2_22
    | spl2_11
    | ~ spl2_178 ),
    inference(avatar_split_clause,[],[f21963,f4797,f181,f252]) ).

thf(f21989,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_22 ),
    inference(constrained_superposition,[],[f94,f21970]) ).

thf(f22004,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_22 ),
    inference(trivial_inequality_removal,[],[f21989]) ).

thf(f22016,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_22
    | ~ spl2_23 ),
    inference(forward_subsumption_resolution,[],[f22004,f1126]) ).

thf(f22029,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | spl2_16
    | ~ spl2_22
    | ~ spl2_23 ),
    inference(forward_subsumption_resolution,[],[f22016,f3847]) ).

thf(f22032,plain,
    ( spl2_62
    | spl2_16
    | ~ spl2_22
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f22029,f255,f252,f208,f722]) ).

thf(f22035,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_21
    | ~ spl2_178 ),
    inference(constrained_superposition,[],[f250,f4798]) ).

thf(f22040,plain,
    ( $false
    | spl2_11
    | ~ spl2_21
    | ~ spl2_178 ),
    inference(forward_subsumption_resolution,[],[f22035,f182]) ).

thf(f22041,plain,
    ( spl2_11
    | ~ spl2_21
    | ~ spl2_178 ),
    inference(avatar_contradiction_clause,[],[f22040]) ).

thf(f22042,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_149
    | ~ spl2_167 ),
    inference(constrained_superposition,[],[f4567,f12132]) ).

thf(f22047,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_149
    | ~ spl2_167 ),
    inference(trivial_inequality_removal,[],[f22042]) ).

thf(f22050,plain,
    ( $false
    | ~ spl2_48
    | ~ spl2_149
    | ~ spl2_167 ),
    inference(forward_subsumption_resolution,[],[f22047,f584]) ).

thf(f22051,plain,
    ( ~ spl2_48
    | ~ spl2_149
    | ~ spl2_167 ),
    inference(avatar_contradiction_clause,[],[f22050]) ).

thf(f22052,plain,
    ( $false
    | ~ spl2_21
    | spl2_97 ),
    inference(forward_subsumption_resolution,[],[f15436,f250]) ).

thf(f22053,plain,
    ( ~ spl2_21
    | spl2_97 ),
    inference(avatar_contradiction_clause,[],[f22052]) ).

thf(f22065,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_188 ),
    inference(constrained_superposition,[],[f26,f5448]) ).

thf(f22066,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ sK1 ) ) )
    | ~ spl2_188 ),
    inference(trivial_inequality_removal,[],[f22065]) ).

thf(f22086,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_77 ),
    inference(constrained_superposition,[],[f26,f1114]) ).

thf(f22088,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_77 ),
    inference(trivial_inequality_removal,[],[f22086]) ).

thf(f22169,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f94,f3521]) ).

thf(f22170,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f79,f3521]) ).

thf(f22172,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_139 ),
    inference(constrained_superposition,[],[f58,f3521]) ).

thf(f22178,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f22169]) ).

thf(f22182,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
          = $true ) )
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f22172]) ).

thf(f22183,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_139 ),
    inference(trivial_inequality_removal,[],[f22170]) ).

thf(f22193,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_31
    | ~ spl2_139 ),
    inference(forward_subsumption_resolution,[],[f22182,f5783]) ).

thf(f22198,plain,
    ( spl2_217
    | ~ spl2_119
    | spl2_31
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f22193,f3520,f510,f3054,f7091]) ).

thf(f22237,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_77
    | ~ spl2_188 ),
    inference(constrained_superposition,[],[f22066,f1114]) ).

thf(f22240,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_77
    | ~ spl2_188 ),
    inference(trivial_inequality_removal,[],[f22237]) ).

thf(f22246,plain,
    ( $false
    | ~ spl2_41
    | ~ spl2_77
    | ~ spl2_188 ),
    inference(forward_subsumption_resolution,[],[f22240,f556]) ).

thf(f22247,plain,
    ( ~ spl2_41
    | ~ spl2_77
    | ~ spl2_188 ),
    inference(avatar_contradiction_clause,[],[f22246]) ).

thf(f22249,plain,
    ( spl2_61
    | spl2_162
    | ~ spl2_75
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f22178,f3520,f1107,f4334,f719]) ).

thf(f22250,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_31
    | ~ spl2_139 ),
    inference(forward_subsumption_resolution,[],[f22183,f5783]) ).

thf(f22254,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | spl2_31
    | spl2_38
    | ~ spl2_139 ),
    inference(forward_subsumption_resolution,[],[f22250,f2867]) ).

thf(f22255,plain,
    ( ~ spl2_119
    | ~ spl2_191
    | spl2_31
    | spl2_38
    | ~ spl2_139 ),
    inference(avatar_split_clause,[],[f22254,f3520,f534,f510,f5458,f3054]) ).

thf(f22289,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_75 ),
    inference(constrained_superposition,[],[f1108,f25]) ).

thf(f22292,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_75 ),
    inference(trivial_inequality_removal,[],[f22289]) ).

thf(f22294,plain,
    ( spl2_164
    | spl2_165
    | spl2_75 ),
    inference(avatar_split_clause,[],[f22292,f1107,f4353,f4350]) ).

thf(f22296,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_165 ),
    inference(constrained_superposition,[],[f26,f4354]) ).

thf(f22298,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
         != $true ) )
    | ~ spl2_165 ),
    inference(trivial_inequality_removal,[],[f22296]) ).

thf(f22394,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_169 ),
    inference(constrained_superposition,[],[f4736,f52]) ).

thf(f22399,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | spl2_169 ),
    inference(trivial_inequality_removal,[],[f22394]) ).

thf(f22403,plain,
    ( spl2_180
    | spl2_98
    | spl2_169 ),
    inference(avatar_split_clause,[],[f22399,f4735,f1583,f4815]) ).

thf(f22439,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_77 ),
    inference(constrained_superposition,[],[f22088,f161]) ).

thf(f22445,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_77 ),
    inference(trivial_inequality_removal,[],[f22439]) ).

thf(f22448,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_165
    | ~ spl2_193 ),
    inference(constrained_superposition,[],[f22298,f5473]) ).

thf(f22451,plain,
    ( ( $true
     != ( b @ ( sK0 @ sK1 ) @ sK1 ) )
    | ~ spl2_165
    | ~ spl2_193 ),
    inference(trivial_inequality_removal,[],[f22448]) ).

thf(f22452,plain,
    ( $false
    | ~ spl2_41
    | ~ spl2_165
    | ~ spl2_193 ),
    inference(forward_subsumption_resolution,[],[f22451,f556]) ).

thf(f22453,plain,
    ( ~ spl2_41
    | ~ spl2_165
    | ~ spl2_193 ),
    inference(avatar_contradiction_clause,[],[f22452]) ).

thf(f22463,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl2_69 ),
    inference(constrained_superposition,[],[f193,f1275]) ).

thf(f22464,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_69 ),
    inference(constrained_superposition,[],[f151,f1275]) ).

thf(f22467,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl2_69 ),
    inference(constrained_superposition,[],[f75,f1275]) ).

thf(f22469,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
          = ( b @ X1 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 )
        | ( ( sK0 @ sK1 )
          = X1 ) )
    | ~ spl2_69 ),
    inference(constrained_superposition,[],[f320,f1275]) ).

thf(f22475,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X1 )
        | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
          = X0 )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( ( sK0 @ sK1 )
          = X1 ) )
    | ~ spl2_69 ),
    inference(trivial_inequality_removal,[],[f22469]) ).

thf(f22476,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_69 ),
    inference(trivial_inequality_removal,[],[f22464]) ).

thf(f22484,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
          = $true ) )
    | ~ spl2_69 ),
    inference(trivial_inequality_removal,[],[f22467]) ).

thf(f22487,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_69 ),
    inference(trivial_inequality_removal,[],[f22463]) ).

thf(f22488,plain,
    ( spl2_249
    | spl2_248
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f22475,f924,f8992,f8995]) ).

thf(f22489,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | spl2_54
    | ~ spl2_69 ),
    inference(forward_subsumption_resolution,[],[f22476,f4998]) ).

thf(f22490,plain,
    ( spl2_38
    | spl2_288
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f22484,f924,f13362,f534]) ).

thf(f22491,plain,
    ( spl2_253
    | spl2_54
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f22489,f924,f646,f9026]) ).

thf(f22496,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_77
    | ~ spl2_167 ),
    inference(constrained_superposition,[],[f4567,f1114]) ).

thf(f22499,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_77
    | ~ spl2_167 ),
    inference(trivial_inequality_removal,[],[f22496]) ).

thf(f22512,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f1151,f25]) ).

thf(f22515,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f22512]) ).

thf(f22523,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f193,f16411]) ).

thf(f22524,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f151,f16411]) ).

thf(f22528,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_296 ),
    inference(constrained_superposition,[],[f58,f16411]) ).

thf(f22534,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f22523]) ).

thf(f22536,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f22524]) ).

thf(f22537,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_296 ),
    inference(trivial_inequality_removal,[],[f22528]) ).

thf(f22548,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_97
    | ~ spl2_296 ),
    inference(forward_subsumption_resolution,[],[f22534,f15436]) ).

thf(f22549,plain,
    ( spl2_315
    | spl2_165
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f22536,f16410,f4353,f17173]) ).

thf(f22553,plain,
    ( spl2_317
    | spl2_97
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f22548,f16410,f1579,f17869]) ).

thf(f22568,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_121 ),
    inference(constrained_superposition,[],[f26,f3067]) ).

thf(f22569,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_121 ),
    inference(trivial_inequality_removal,[],[f22568]) ).

thf(f22572,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f176,f3482]) ).

thf(f22573,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f26,f3482]) ).

thf(f22574,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f22572]) ).

thf(f22575,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f22573]) ).

thf(f22586,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ sK1 @ X0 ) )
        | ( sK1 = X0 )
        | ( $true != $true ) )
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f22515,f25]) ).

thf(f22587,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ sK1 @ X0 ) )
        | ( sK1 = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f22586]) ).

thf(f22640,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true ) )
    | ~ spl2_136 ),
    inference(constrained_superposition,[],[f26,f3510]) ).

thf(f22641,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_136 ),
    inference(trivial_inequality_removal,[],[f22640]) ).

thf(f22646,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f26,f3514]) ).

thf(f22647,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f22646]) ).

thf(f22670,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_133
    | ~ spl2_137 ),
    inference(constrained_superposition,[],[f22575,f3514]) ).

thf(f22672,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_133
    | ~ spl2_137 ),
    inference(trivial_inequality_removal,[],[f22670]) ).

thf(f22826,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_302 ),
    inference(constrained_superposition,[],[f16552,f377]) ).

thf(f22839,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_302 ),
    inference(trivial_inequality_removal,[],[f22826]) ).

thf(f22856,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_315 ),
    inference(constrained_superposition,[],[f17174,f377]) ).

thf(f22865,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_315 ),
    inference(trivial_inequality_removal,[],[f22856]) ).

thf(f22929,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_317 ),
    inference(constrained_superposition,[],[f17870,f50]) ).

thf(f22939,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
    | ~ spl2_317 ),
    inference(trivial_inequality_removal,[],[f22929]) ).

thf(f22957,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_314 ),
    inference(constrained_superposition,[],[f17164,f377]) ).

thf(f22966,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_314 ),
    inference(trivial_inequality_removal,[],[f22957]) ).

thf(f23022,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_308 ),
    inference(constrained_superposition,[],[f16746,f80]) ).

thf(f23031,plain,
    ( ( $true
     != ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_308 ),
    inference(trivial_inequality_removal,[],[f23022]) ).

thf(f23034,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_23
    | ~ spl2_308 ),
    inference(forward_subsumption_resolution,[],[f23031,f1126]) ).

thf(f23035,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_23
    | ~ spl2_64
    | ~ spl2_308 ),
    inference(forward_subsumption_resolution,[],[f23034,f1280]) ).

thf(f23036,plain,
    ( $false
    | ~ spl2_23
    | ~ spl2_64
    | spl2_185
    | ~ spl2_308 ),
    inference(forward_subsumption_resolution,[],[f23035,f5048]) ).

thf(f23037,plain,
    ( ~ spl2_23
    | ~ spl2_64
    | spl2_185
    | ~ spl2_308 ),
    inference(avatar_contradiction_clause,[],[f23036]) ).

thf(f23095,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_69
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f1265,f1275]) ).

thf(f23096,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_86 ),
    inference(constrained_superposition,[],[f1265,f80]) ).

thf(f23102,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_69
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f23095]) ).

thf(f23103,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | ~ spl2_86 ),
    inference(trivial_inequality_removal,[],[f23096]) ).

thf(f23108,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_64
    | ~ spl2_69
    | ~ spl2_86 ),
    inference(forward_subsumption_resolution,[],[f23102,f1280]) ).

thf(f23109,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_64
    | ~ spl2_86 ),
    inference(forward_subsumption_resolution,[],[f23103,f1280]) ).

thf(f23110,plain,
    ( spl2_62
    | ~ spl2_64
    | ~ spl2_69
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f23108,f1264,f924,f793,f722]) ).

thf(f23111,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
    | spl2_61
    | ~ spl2_64
    | ~ spl2_86 ),
    inference(forward_subsumption_resolution,[],[f23109,f9348]) ).

thf(f23112,plain,
    ( spl2_62
    | spl2_61
    | ~ spl2_64
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f23111,f1264,f793,f719,f722]) ).

thf(f23149,plain,
    ( spl2_258
    | spl2_33
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f22487,f924,f517,f9390]) ).

thf(f23175,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f176,f4739]) ).

thf(f23176,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
        | ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f26,f4739]) ).

thf(f23177,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f23176]) ).

thf(f23180,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f23175]) ).

thf(f23181,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f23177,f161]) ).

thf(f23182,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_136
    | ~ spl2_170 ),
    inference(constrained_superposition,[],[f23177,f3510]) ).

thf(f23188,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_136
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f23182]) ).

thf(f23189,plain,
    ( ( $true
      = ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_170 ),
    inference(trivial_inequality_removal,[],[f23181]) ).

thf(f23245,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true != $true ) )
    | ~ spl2_85 ),
    inference(constrained_superposition,[],[f1259,f80]) ).

thf(f23247,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_85 ),
    inference(constrained_superposition,[],[f1259,f50]) ).

thf(f23252,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
    | ~ spl2_85 ),
    inference(trivial_inequality_removal,[],[f23247]) ).

thf(f23253,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ sK1 ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_85 ),
    inference(trivial_inequality_removal,[],[f23245]) ).

thf(f23261,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_81
    | spl2_97 ),
    inference(constrained_superposition,[],[f15436,f22587]) ).

thf(f23262,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_33
    | ~ spl2_81 ),
    inference(constrained_superposition,[],[f16421,f22587]) ).

thf(f23268,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true != $true )
    | ~ spl2_81
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f22575,f22587]) ).

thf(f23270,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_81
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f23268]) ).

thf(f23274,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_81
    | spl2_97 ),
    inference(trivial_inequality_removal,[],[f23261]) ).

thf(f23276,plain,
    ( ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | spl2_33
    | ~ spl2_81 ),
    inference(trivial_inequality_removal,[],[f23262]) ).

thf(f23281,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_81
    | ~ spl2_87
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f23270,f1268]) ).

thf(f23284,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_81
    | spl2_97 ),
    inference(forward_subsumption_resolution,[],[f23274,f49]) ).

thf(f23285,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_33
    | ~ spl2_81 ),
    inference(forward_subsumption_resolution,[],[f23276,f49]) ).

thf(f23286,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ( sK1
      = ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_77
    | ~ spl2_81
    | ~ spl2_87
    | ~ spl2_133
    | ~ spl2_167 ),
    inference(forward_subsumption_resolution,[],[f23281,f22499]) ).

thf(f23289,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_77
    | ~ spl2_81
    | spl2_97
    | ~ spl2_167 ),
    inference(forward_subsumption_resolution,[],[f23284,f22499]) ).

thf(f23290,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | spl2_33
    | ~ spl2_81
    | spl2_99 ),
    inference(forward_subsumption_resolution,[],[f23285,f3460]) ).

thf(f23291,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = ( sK0 @ ( sK0 @ sK1 ) ) )
    | ~ spl2_77
    | ~ spl2_81
    | ~ spl2_87
    | ~ spl2_133
    | ~ spl2_167 ),
    inference(forward_subsumption_resolution,[],[f23286,f49]) ).

thf(f23294,plain,
    ( spl2_98
    | ~ spl2_77
    | ~ spl2_81
    | spl2_97
    | ~ spl2_167 ),
    inference(avatar_split_clause,[],[f23289,f4566,f1579,f1150,f1113,f1583]) ).

thf(f23295,plain,
    ( $false
    | spl2_33
    | spl2_38
    | ~ spl2_81
    | spl2_99 ),
    inference(forward_subsumption_resolution,[],[f23290,f2867]) ).

thf(f23296,plain,
    ( spl2_33
    | spl2_38
    | ~ spl2_81
    | spl2_99 ),
    inference(avatar_contradiction_clause,[],[f23295]) ).

thf(f23297,plain,
    ( spl2_98
    | ~ spl2_77
    | ~ spl2_81
    | ~ spl2_87
    | ~ spl2_133
    | ~ spl2_167 ),
    inference(avatar_split_clause,[],[f23291,f4566,f3481,f1267,f1150,f1113,f1583]) ).

thf(f23301,plain,
    ( ~ spl2_80
    | spl2_188
    | spl2_81
    | ~ spl2_296 ),
    inference(avatar_split_clause,[],[f22537,f16410,f1150,f5447,f1147]) ).

thf(f23351,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_293 ),
    inference(constrained_superposition,[],[f14369,f50]) ).

thf(f23360,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | ~ spl2_293 ),
    inference(trivial_inequality_removal,[],[f23351]) ).

thf(f23361,plain,
    ( spl2_192
    | ~ spl2_191
    | ~ spl2_29
    | ~ spl2_293 ),
    inference(avatar_split_clause,[],[f23360,f14368,f503,f5458,f5464]) ).

thf(f23535,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_24
    | spl2_97 ),
    inference(constrained_superposition,[],[f15436,f348]) ).

thf(f23536,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl2_24
    | spl2_33 ),
    inference(constrained_superposition,[],[f16421,f348]) ).

thf(f23541,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_24
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f22575,f348]) ).

thf(f23545,plain,
    ( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
      = $true )
    | ~ spl2_24
    | spl2_33 ),
    inference(trivial_inequality_removal,[],[f23536]) ).

thf(f23546,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_24
    | spl2_97 ),
    inference(trivial_inequality_removal,[],[f23535]) ).

thf(f23548,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_24
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f23541]) ).

thf(f23553,plain,
    ( $false
    | ~ spl2_24
    | spl2_33
    | spl2_38 ),
    inference(forward_subsumption_resolution,[],[f23545,f2867]) ).

thf(f23554,plain,
    ( ~ spl2_24
    | spl2_33
    | spl2_38 ),
    inference(avatar_contradiction_clause,[],[f23553]) ).

thf(f23555,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_77
    | spl2_97
    | ~ spl2_167 ),
    inference(forward_subsumption_resolution,[],[f23546,f22499]) ).

thf(f23556,plain,
    ( ~ spl2_24
    | ~ spl2_77
    | spl2_97
    | ~ spl2_167 ),
    inference(avatar_contradiction_clause,[],[f23555]) ).

thf(f23557,plain,
    ( ( $true
      = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_24
    | ~ spl2_87
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f23548,f1268]) ).

thf(f23560,plain,
    ( $false
    | ~ spl2_24
    | ~ spl2_77
    | ~ spl2_87
    | ~ spl2_133
    | ~ spl2_167 ),
    inference(forward_subsumption_resolution,[],[f23557,f22499]) ).

thf(f23561,plain,
    ( ~ spl2_24
    | ~ spl2_77
    | ~ spl2_87
    | ~ spl2_133
    | ~ spl2_167 ),
    inference(avatar_contradiction_clause,[],[f23560]) ).

thf(f23566,plain,
    ( ( $true != $true )
    | ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | spl2_63
    | ~ spl2_300 ),
    inference(constrained_superposition,[],[f17166,f16448]) ).

thf(f23567,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | spl2_298
    | ~ spl2_300 ),
    inference(constrained_superposition,[],[f16571,f16448]) ).

thf(f23614,plain,
    ( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
      = $true )
    | spl2_63
    | ~ spl2_300 ),
    inference(trivial_inequality_removal,[],[f23566]) ).

thf(f23629,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
    | spl2_298
    | ~ spl2_300 ),
    inference(trivial_inequality_removal,[],[f23567]) ).

thf(f23638,plain,
    ( $false
    | spl2_31
    | spl2_63
    | ~ spl2_300 ),
    inference(forward_subsumption_resolution,[],[f23614,f5783]) ).

thf(f23639,plain,
    ( spl2_31
    | spl2_63
    | ~ spl2_300 ),
    inference(avatar_contradiction_clause,[],[f23638]) ).

thf(f23642,plain,
    ( spl2_192
    | spl2_298
    | ~ spl2_300 ),
    inference(avatar_split_clause,[],[f23629,f16447,f16426,f5464]) ).

thf(f23686,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_95 ),
    inference(constrained_superposition,[],[f1555,f81]) ).

thf(f23688,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_95 ),
    inference(trivial_inequality_removal,[],[f23686]) ).

thf(f23696,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_54
    | ~ spl2_95 ),
    inference(forward_subsumption_resolution,[],[f23688,f4998]) ).

thf(f23699,plain,
    ( ( ( sK0 @ sK1 )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | spl2_14
    | spl2_54
    | ~ spl2_95 ),
    inference(forward_subsumption_resolution,[],[f23696,f1007]) ).

thf(f23701,plain,
    ( spl2_55
    | spl2_14
    | spl2_54
    | ~ spl2_95 ),
    inference(avatar_split_clause,[],[f23699,f1554,f646,f201,f649]) ).

thf(f23706,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_65
    | spl2_97 ),
    inference(constrained_superposition,[],[f15436,f797]) ).

thf(f23707,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_33
    | ~ spl2_65 ),
    inference(constrained_superposition,[],[f16421,f797]) ).

thf(f23708,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_65
    | ~ spl2_132 ),
    inference(constrained_superposition,[],[f3478,f797]) ).

thf(f23712,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_65
    | ~ spl2_133 ),
    inference(constrained_superposition,[],[f22575,f797]) ).

thf(f23717,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_65
    | ~ spl2_132 ),
    inference(trivial_inequality_removal,[],[f23708]) ).

thf(f23719,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_65
    | spl2_97 ),
    inference(trivial_inequality_removal,[],[f23706]) ).

thf(f23720,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_65
    | ~ spl2_133 ),
    inference(trivial_inequality_removal,[],[f23712]) ).

thf(f23723,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | spl2_33
    | ~ spl2_65 ),
    inference(trivial_inequality_removal,[],[f23707]) ).

thf(f23724,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ~ spl2_19
    | ~ spl2_65
    | ~ spl2_132 ),
    inference(forward_subsumption_resolution,[],[f23717,f220]) ).

thf(f23725,plain,
    ( spl2_165
    | ~ spl2_65
    | spl2_97 ),
    inference(avatar_split_clause,[],[f23719,f1579,f796,f4353]) ).

thf(f23726,plain,
    ( ( $true
      = ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_65
    | ~ spl2_87
    | ~ spl2_133 ),
    inference(forward_subsumption_resolution,[],[f23720,f1268]) ).

thf(f23728,plain,
    ( $false
    | spl2_33
    | spl2_54
    | ~ spl2_65 ),
    inference(forward_subsumption_resolution,[],[f23723,f4998]) ).

thf(f23729,plain,
    ( spl2_33
    | spl2_54
    | ~ spl2_65 ),
    inference(avatar_contradiction_clause,[],[f23728]) ).

thf(f23730,plain,
    ( $false
    | ~ spl2_19
    | spl2_54
    | ~ spl2_65
    | ~ spl2_132 ),
    inference(forward_subsumption_resolution,[],[f23724,f4998]) ).

thf(f23731,plain,
    ( ~ spl2_19
    | spl2_54
    | ~ spl2_65
    | ~ spl2_132 ),
    inference(avatar_contradiction_clause,[],[f23730]) ).

thf(f23732,plain,
    ( spl2_165
    | ~ spl2_65
    | ~ spl2_87
    | ~ spl2_133 ),
    inference(avatar_split_clause,[],[f23726,f3481,f1267,f796,f4353]) ).

thf(f23757,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_136
    | ~ spl2_170
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f23188,f8993]) ).

thf(f23763,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_137
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f22647,f8993]) ).

thf(f23764,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_121
    | ~ spl2_248 ),
    inference(constrained_superposition,[],[f22569,f8993]) ).

thf(f23772,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ~ spl2_136
    | ~ spl2_170
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f23757]) ).

thf(f23774,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ~ spl2_137
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f23763]) ).

thf(f23786,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_121
    | ~ spl2_248 ),
    inference(trivial_inequality_removal,[],[f23764]) ).

thf(f23788,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_136
    | ~ spl2_170
    | spl2_185
    | ~ spl2_248 ),
    inference(forward_subsumption_resolution,[],[f23772,f5048]) ).

thf(f23789,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_137
    | spl2_185
    | ~ spl2_248 ),
    inference(forward_subsumption_resolution,[],[f23774,f5048]) ).

thf(f23793,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_121
    | spl2_185
    | ~ spl2_248 ),
    inference(forward_subsumption_resolution,[],[f23786,f5048]) ).

thf(f23794,plain,
    ( spl2_176
    | spl2_179
    | ~ spl2_136
    | ~ spl2_170
    | spl2_185
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f23788,f8992,f5047,f4738,f3509,f4812,f4774]) ).

thf(f23795,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_133
    | ~ spl2_137
    | spl2_185
    | ~ spl2_248 ),
    inference(forward_subsumption_resolution,[],[f23789,f3482]) ).

thf(f23797,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_87
    | ~ spl2_121
    | spl2_185
    | ~ spl2_248 ),
    inference(forward_subsumption_resolution,[],[f23793,f1268]) ).

thf(f23798,plain,
    ( spl2_176
    | spl2_179
    | ~ spl2_133
    | ~ spl2_137
    | spl2_185
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f23795,f8992,f5047,f3513,f3481,f4812,f4774]) ).

thf(f23800,plain,
    ( spl2_176
    | spl2_179
    | ~ spl2_87
    | ~ spl2_121
    | spl2_185
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f23797,f8992,f5047,f3066,f1267,f4812,f4774]) ).

thf(f23804,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_133
    | ~ spl2_137
    | ~ spl2_249 ),
    inference(constrained_superposition,[],[f22672,f8996]) ).

thf(f23805,plain,
    ( ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true != $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_136
    | ~ spl2_249 ),
    inference(constrained_superposition,[],[f22641,f8996]) ).

thf(f23815,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( $true
     != ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_136
    | ~ spl2_249 ),
    inference(trivial_inequality_removal,[],[f23805]) ).

thf(f23817,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ~ spl2_133
    | ~ spl2_137
    | ~ spl2_249 ),
    inference(trivial_inequality_removal,[],[f23804]) ).

thf(f23822,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
      = $true )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_136
    | ~ spl2_170
    | ~ spl2_249 ),
    inference(forward_subsumption_resolution,[],[f23815,f4739]) ).

thf(f23823,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ~ spl2_133
    | ~ spl2_137
    | spl2_171
    | ~ spl2_249 ),
    inference(forward_subsumption_resolution,[],[f23817,f14574]) ).

thf(f23824,plain,
    ( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
    | ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
      = ( sK0 @ sK1 ) )
    | ~ spl2_136
    | ~ spl2_170
    | spl2_171
    | ~ spl2_249 ),
    inference(forward_subsumption_resolution,[],[f23822,f14574]) ).

thf(f23825,plain,
    ( spl2_176
    | spl2_179
    | ~ spl2_133
    | ~ spl2_137
    | spl2_171
    | ~ spl2_249 ),
    inference(avatar_split_clause,[],[f23823,f8995,f4743,f3513,f3481,f4812,f4774]) ).

thf(f23826,plain,
    ( spl2_179
    | spl2_176
    | ~ spl2_136
    | ~ spl2_170
    | spl2_171
    | ~ spl2_249 ),
    inference(avatar_split_clause,[],[f23824,f8995,f4743,f4738,f3509,f4774,f4812]) ).

thf(f23829,plain,
    ( ~ spl2_63
    | ~ spl2_36
    | spl2_183
    | ~ spl2_314 ),
    inference(avatar_split_clause,[],[f22966,f17163,f4944,f527,f727]) ).

thf(f23831,plain,
    ( spl2_188
    | ~ spl2_80
    | ~ spl2_25
    | ~ spl2_317 ),
    inference(avatar_split_clause,[],[f22939,f17869,f350,f1147,f5447]) ).

thf(f23834,plain,
    ( spl2_63
    | ~ spl2_84
    | ~ spl2_133 ),
    inference(avatar_split_clause,[],[f22574,f3481,f1255,f727]) ).

thf(f23835,plain,
    ( ~ spl2_16
    | spl2_296
    | ~ spl2_77 ),
    inference(avatar_split_clause,[],[f22445,f1113,f16410,f208]) ).

thf(f23836,plain,
    ( ~ spl2_25
    | spl2_188
    | spl2_81
    | ~ spl2_85 ),
    inference(avatar_split_clause,[],[f23252,f1258,f1150,f5447,f350]) ).

thf(f23843,plain,
    ( spl2_296
    | ~ spl2_87
    | ~ spl2_170 ),
    inference(avatar_split_clause,[],[f23180,f4738,f1267,f16410]) ).

thf(f23845,plain,
    ( ~ spl2_33
    | spl2_296
    | ~ spl2_170 ),
    inference(avatar_split_clause,[],[f23189,f4738,f16410,f517]) ).

thf(f23850,plain,
    ( ~ spl2_29
    | ~ spl2_63
    | spl2_170
    | ~ spl2_302 ),
    inference(avatar_split_clause,[],[f22839,f16551,f4738,f727,f503]) ).

thf(f23852,plain,
    ( ~ spl2_36
    | spl2_170
    | ~ spl2_63
    | ~ spl2_315 ),
    inference(avatar_split_clause,[],[f22865,f17173,f727,f4738,f527]) ).

thf(f23853,plain,
    ( spl2_77
    | ~ spl2_64
    | spl2_62
    | ~ spl2_85 ),
    inference(avatar_split_clause,[],[f23253,f1258,f722,f793,f1113]) ).

thf(f23875,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( $true != $true )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ X1 @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
    | ~ spl2_64 ),
    inference(constrained_superposition,[],[f320,f1280]) ).

thf(f23886,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( ( b @ ( sK0 @ sK1 ) @ X0 )
          = $true )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X1 )
        | ( $true
          = ( b @ X1 @ ( sK0 @ sK1 ) ) )
        | ( ( sK0 @ sK1 )
          = X1 )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( ( sK0 @ sK1 )
          = X0 )
        | ( ( sK0 @ ( sK0 @ sK1 ) )
          = X0 ) )
    | ~ spl2_64 ),
    inference(trivial_inequality_removal,[],[f23875]) ).

thf(f23896,plain,
    ( spl2_91
    | spl2_90
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f23886,f793,f1353,f1356]) ).

thf(f23977,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl2_167
    | ~ spl2_185 ),
    inference(constrained_superposition,[],[f4567,f5371]) ).

thf(f23982,plain,
    ( ( $true
     != ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
    | ~ spl2_167
    | ~ spl2_185 ),
    inference(trivial_inequality_removal,[],[f23977]) ).

thf(f24031,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_298 ),
    inference(constrained_superposition,[],[f193,f16427]) ).

thf(f24035,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
    | ~ spl2_298 ),
    inference(constrained_superposition,[],[f75,f16427]) ).

thf(f24047,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ sK1 @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_298 ),
    inference(trivial_inequality_removal,[],[f24035]) ).

thf(f24051,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
          = ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
    | ~ spl2_298 ),
    inference(trivial_inequality_removal,[],[f24031]) ).

thf(f24059,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
        | ( $true
         != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( r @ sK1 @ X0 ) ) )
    | ~ spl2_167
    | ~ spl2_185
    | ~ spl2_298 ),
    inference(forward_subsumption_resolution,[],[f24047,f23982]) ).

thf(f24060,plain,
    ( spl2_177
    | spl2_308
    | ~ spl2_298 ),
    inference(avatar_split_clause,[],[f24051,f16426,f16745,f4794]) ).

thf(f24062,plain,
    ( spl2_320
    | ~ spl2_167
    | ~ spl2_185
    | ~ spl2_298 ),
    inference(avatar_split_clause,[],[f24059,f16426,f5047,f4566,f18566]) ).

thf(f24316,plain,
    ( ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( $true != $true )
    | ~ spl2_247 ),
    inference(constrained_superposition,[],[f8878,f50]) ).

thf(f24322,plain,
    ( ( $true
     != ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
    | ( $true
     != ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
    | ( $true
      = ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
    | ~ spl2_247 ),
    inference(trivial_inequality_removal,[],[f24316]) ).

thf(f24327,plain,
    ( ~ spl2_29
    | spl2_188
    | ~ spl2_39
    | ~ spl2_247 ),
    inference(avatar_split_clause,[],[f24322,f8877,f538,f5447,f503]) ).

cnf(s2,plain,
    ( spl2_4
    | ~ spl2_5
    | spl2_6 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s3,plain,
    ( spl2_4
    | spl2_6
    | ~ spl2_7 ),
    inference(sat_conversion,[],[f127]) ).

cnf(s4,plain,
    ( spl2_8
    | ~ spl2_9
    | spl2_10 ),
    inference(sat_conversion,[],[f137]) ).

cnf(s5,plain,
    ( ~ spl2_11
    | spl2_12 ),
    inference(sat_conversion,[],[f186]) ).

cnf(s6,plain,
    ( spl2_13
    | spl2_14 ),
    inference(sat_conversion,[],[f203]) ).

cnf(s8,plain,
    ( spl2_17
    | spl2_18 ),
    inference(sat_conversion,[],[f217]) ).

cnf(s9,plain,
    ( spl2_19
    | spl2_20 ),
    inference(sat_conversion,[],[f224]) ).

cnf(s10,plain,
    ( ~ spl2_13
    | spl2_21
    | ~ spl2_22
    | ~ spl2_23 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s11,plain,
    ( spl2_24
    | ~ spl2_25
    | spl2_26 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s18,plain,
    ( spl2_7
    | ~ spl2_14
    | ~ spl2_17 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s19,plain,
    ( spl2_5
    | ~ spl2_14
    | ~ spl2_19 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s24,plain,
    ( spl2_17
    | spl2_19
    | spl2_47 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s25,plain,
    ( spl2_17
    | spl2_25 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s30,plain,
    ( spl2_41
    | spl2_48
    | spl2_52 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s32,plain,
    ( spl2_29
    | spl2_38 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s34,plain,
    ( spl2_31
    | spl2_39 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s37,plain,
    ( spl2_36
    | spl2_54 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s44,plain,
    ( ~ spl2_19
    | ~ spl2_31
    | spl2_63 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s46,plain,
    ( ~ spl2_17
    | ~ spl2_31
    | spl2_63 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s49,plain,
    ( ~ spl2_4
    | spl2_45 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s57,plain,
    ( spl2_7
    | spl2_41 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s59,plain,
    ( ~ spl2_16
    | ~ spl2_17
    | ~ spl2_48 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s60,plain,
    ( spl2_5
    | spl2_48 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s63,plain,
    ( ~ spl2_19
    | ~ spl2_38
    | spl2_63 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s66,plain,
    ( spl2_70
    | spl2_71
    | ~ spl2_72 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s68,plain,
    ( ~ spl2_14
    | ~ spl2_24
    | ~ spl2_45
    | spl2_73 ),
    inference(sat_conversion,[],[f1008]) ).

cnf(s80,plain,
    ( spl2_9
    | ~ spl2_16
    | ~ spl2_55 ),
    inference(sat_conversion,[],[f1145]) ).

cnf(s83,plain,
    ( spl2_11
    | spl2_19
    | ~ spl2_24
    | ~ spl2_55 ),
    inference(sat_conversion,[],[f1158]) ).

cnf(s86,plain,
    ( spl2_11
    | ~ spl2_18
    | ~ spl2_55
    | ~ spl2_80
    | spl2_81 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s88,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_55 ),
    inference(sat_conversion,[],[f1169]) ).

cnf(s91,plain,
    ( ~ spl2_14
    | spl2_79 ),
    inference(sat_conversion,[],[f1184]) ).

cnf(s102,plain,
    ~ spl2_67,
    inference(sat_conversion,[],[f1303]) ).

cnf(s106,plain,
    ( ~ spl2_10
    | spl2_14 ),
    inference(sat_conversion,[],[f1325]) ).

cnf(s110,plain,
    ( spl2_14
    | spl2_23 ),
    inference(sat_conversion,[],[f1371]) ).

cnf(s113,plain,
    ( ~ spl2_8
    | ~ spl2_19
    | ~ spl2_48 ),
    inference(sat_conversion,[],[f1437]) ).

cnf(s114,plain,
    ( ~ spl2_8
    | ~ spl2_38
    | ~ spl2_48 ),
    inference(sat_conversion,[],[f1439]) ).

cnf(s115,plain,
    ( spl2_19
    | spl2_80 ),
    inference(sat_conversion,[],[f1441]) ).

cnf(s124,plain,
    ( ~ spl2_10
    | ~ spl2_12
    | ~ spl2_25
    | ~ spl2_41
    | spl2_73
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s126,plain,
    ( ~ spl2_63
    | spl2_86 ),
    inference(sat_conversion,[],[f1550]) ).

cnf(s132,plain,
    ( spl2_76
    | spl2_97 ),
    inference(sat_conversion,[],[f1586]) ).

cnf(s136,plain,
    ( ~ spl2_10
    | ~ spl2_41
    | ~ spl2_73 ),
    inference(sat_conversion,[],[f1627]) ).

cnf(s138,plain,
    ( ~ spl2_10
    | spl2_12 ),
    inference(sat_conversion,[],[f1631]) ).

cnf(s141,plain,
    ( spl2_33
    | spl2_78 ),
    inference(sat_conversion,[],[f1638]) ).

cnf(s143,plain,
    ( ~ spl2_10
    | ~ spl2_19
    | ~ spl2_41 ),
    inference(sat_conversion,[],[f1644]) ).

cnf(s145,plain,
    ( ~ spl2_10
    | spl2_41 ),
    inference(sat_conversion,[],[f1649]) ).

cnf(s146,plain,
    ( ~ spl2_14
    | ~ spl2_17
    | ~ spl2_41 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s148,plain,
    ( ~ spl2_8
    | spl2_12
    | ~ spl2_14 ),
    inference(sat_conversion,[],[f1682]) ).

cnf(s149,plain,
    ( ~ spl2_12
    | ~ spl2_80
    | spl2_81
    | spl2_101 ),
    inference(sat_conversion,[],[f1731]) ).

cnf(s151,plain,
    ( ~ spl2_12
    | spl2_71
    | spl2_94 ),
    inference(sat_conversion,[],[f1738]) ).

cnf(s152,plain,
    ( ~ spl2_8
    | ~ spl2_48
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s155,plain,
    ( ~ spl2_12
    | ~ spl2_25
    | ~ spl2_80
    | spl2_102 ),
    inference(sat_conversion,[],[f1802]) ).

cnf(s159,plain,
    ( ~ spl2_8
    | ~ spl2_31
    | ~ spl2_41 ),
    inference(sat_conversion,[],[f1841]) ).

cnf(s162,plain,
    ( spl2_24
    | ~ spl2_81 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s172,plain,
    ( ~ spl2_8
    | ~ spl2_81
    | spl2_110 ),
    inference(sat_conversion,[],[f2288]) ).

cnf(s179,plain,
    ( spl2_57
    | ~ spl2_94 ),
    inference(sat_conversion,[],[f2575]) ).

cnf(s188,plain,
    ( ~ spl2_31
    | ~ spl2_57
    | spl2_113 ),
    inference(sat_conversion,[],[f2882]) ).

cnf(s197,plain,
    ( ~ spl2_12
    | spl2_22
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f3058]) ).

cnf(s199,plain,
    ( spl2_17
    | ~ spl2_31
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f3060]) ).

cnf(s212,plain,
    ( spl2_11
    | spl2_82
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f3103]) ).

cnf(s214,plain,
    ( spl2_11
    | ~ spl2_25
    | ~ spl2_47
    | ~ spl2_80
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f3105]) ).

cnf(s219,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f3111]) ).

cnf(s221,plain,
    ( spl2_38
    | ~ spl2_110 ),
    inference(sat_conversion,[],[f3121]) ).

cnf(s265,plain,
    ( ~ spl2_38
    | spl2_132 ),
    inference(sat_conversion,[],[f3745]) ).

cnf(s268,plain,
    ( ~ spl2_8
    | ~ spl2_126 ),
    inference(sat_conversion,[],[f3799]) ).

cnf(s269,plain,
    ( ~ spl2_31
    | ~ spl2_126 ),
    inference(sat_conversion,[],[f3803]) ).

cnf(s284,plain,
    ( spl2_16
    | spl2_64
    | spl2_67 ),
    inference(sat_conversion,[],[f3869]) ).

cnf(s289,plain,
    ( ~ spl2_14
    | ~ spl2_79
    | ~ spl2_149 ),
    inference(sat_conversion,[],[f3883]) ).

cnf(s291,plain,
    ( spl2_16
    | spl2_61
    | ~ spl2_94 ),
    inference(sat_conversion,[],[f3886]) ).

cnf(s307,plain,
    ( ~ spl2_16
    | spl2_89 ),
    inference(sat_conversion,[],[f3923]) ).

cnf(s334,plain,
    ( ~ spl2_76
    | ~ spl2_94
    | ~ spl2_139 ),
    inference(sat_conversion,[],[f4332]) ).

cnf(s339,plain,
    ( spl2_75
    | spl2_165 ),
    inference(sat_conversion,[],[f4356]) ).

cnf(s345,plain,
    ( spl2_17
    | ~ spl2_44
    | spl2_67
    | ~ spl2_77
    | ~ spl2_97 ),
    inference(sat_conversion,[],[f4387]) ).

cnf(s346,plain,
    ( ~ spl2_77
    | ~ spl2_89
    | ~ spl2_97 ),
    inference(sat_conversion,[],[f4388]) ).

cnf(s363,plain,
    ( spl2_11
    | ~ spl2_25
    | ~ spl2_47
    | ~ spl2_80
    | ~ spl2_164 ),
    inference(sat_conversion,[],[f4574]) ).

cnf(s372,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_164 ),
    inference(sat_conversion,[],[f4586]) ).

cnf(s373,plain,
    ( spl2_22
    | spl2_157
    | ~ spl2_164 ),
    inference(sat_conversion,[],[f4587]) ).

cnf(s378,plain,
    ( ~ spl2_14
    | ~ spl2_97
    | ~ spl2_165 ),
    inference(sat_conversion,[],[f4651]) ).

cnf(s381,plain,
    ( ~ spl2_135
    | spl2_168
    | ~ spl2_169
    | spl2_170 ),
    inference(sat_conversion,[],[f4740]) ).

cnf(s382,plain,
    ( ~ spl2_122
    | ~ spl2_135
    | ~ spl2_162 ),
    inference(sat_conversion,[],[f4741]) ).

cnf(s391,plain,
    ( spl2_124
    | spl2_177 ),
    inference(sat_conversion,[],[f4800]) ).

cnf(s397,plain,
    ( spl2_169
    | spl2_180 ),
    inference(sat_conversion,[],[f4821]) ).

cnf(s409,plain,
    ( ~ spl2_54
    | ~ spl2_171
    | ~ spl2_183 ),
    inference(sat_conversion,[],[f4970]) ).

cnf(s412,plain,
    ( ~ spl2_54
    | ~ spl2_57
    | ~ spl2_171
    | spl2_177
    | spl2_178
    | spl2_179 ),
    inference(sat_conversion,[],[f4999]) ).

cnf(s413,plain,
    ( ~ spl2_36
    | ~ spl2_162
    | spl2_170 ),
    inference(sat_conversion,[],[f5000]) ).

cnf(s418,plain,
    ( ~ spl2_14
    | ~ spl2_171
    | ~ spl2_177 ),
    inference(sat_conversion,[],[f5044]) ).

cnf(s421,plain,
    ( spl2_125
    | spl2_126
    | ~ spl2_179 ),
    inference(sat_conversion,[],[f5183]) ).

cnf(s423,plain,
    ( spl2_72
    | spl2_126
    | ~ spl2_179 ),
    inference(sat_conversion,[],[f5186]) ).

cnf(s434,plain,
    ( spl2_72
    | spl2_126
    | ~ spl2_178 ),
    inference(sat_conversion,[],[f5347]) ).

cnf(s443,plain,
    ( spl2_11
    | ~ spl2_25
    | ~ spl2_47
    | ~ spl2_80
    | ~ spl2_178 ),
    inference(sat_conversion,[],[f5359]) ).

cnf(s451,plain,
    ( ~ spl2_75
    | ~ spl2_138
    | ~ spl2_175 ),
    inference(sat_conversion,[],[f5445]) ).

cnf(s460,plain,
    ( spl2_120
    | spl2_190 ),
    inference(sat_conversion,[],[f5487]) ).

cnf(s464,plain,
    ( spl2_119
    | spl2_193 ),
    inference(sat_conversion,[],[f5495]) ).

cnf(s469,plain,
    ( ~ spl2_120
    | ~ spl2_135
    | spl2_188
    | spl2_197 ),
    inference(sat_conversion,[],[f5505]) ).

cnf(s475,plain,
    ( ~ spl2_38
    | ~ spl2_57
    | spl2_177
    | spl2_178
    | spl2_179
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f5608]) ).

cnf(s477,plain,
    ( ~ spl2_137
    | ~ spl2_188
    | ~ spl2_192 ),
    inference(sat_conversion,[],[f5639]) ).

cnf(s478,plain,
    ( ~ spl2_137
    | ~ spl2_190
    | ~ spl2_193 ),
    inference(sat_conversion,[],[f5641]) ).

cnf(s488,plain,
    ( ~ spl2_31
    | ~ spl2_133
    | ~ spl2_188 ),
    inference(sat_conversion,[],[f5708]) ).

cnf(s501,plain,
    ( spl2_31
    | spl2_38
    | ~ spl2_102 ),
    inference(sat_conversion,[],[f5747]) ).

cnf(s503,plain,
    ( ~ spl2_14
    | ~ spl2_26
    | spl2_31
    | ~ spl2_61
    | spl2_99 ),
    inference(sat_conversion,[],[f5754]) ).

cnf(s513,plain,
    ( ~ spl2_26
    | spl2_31
    | spl2_41
    | ~ spl2_61
    | spl2_67 ),
    inference(sat_conversion,[],[f5777]) ).

cnf(s514,plain,
    ( ~ spl2_38
    | ~ spl2_133
    | ~ spl2_193 ),
    inference(sat_conversion,[],[f5778]) ).

cnf(s520,plain,
    ( spl2_188
    | spl2_191 ),
    inference(sat_conversion,[],[f5814]) ).

cnf(s524,plain,
    ( spl2_38
    | ~ spl2_73 ),
    inference(sat_conversion,[],[f5836]) ).

cnf(s525,plain,
    ( ~ spl2_41
    | ~ spl2_185
    | ~ spl2_192 ),
    inference(sat_conversion,[],[f5837]) ).

cnf(s526,plain,
    ( ~ spl2_31
    | ~ spl2_41
    | ~ spl2_54 ),
    inference(sat_conversion,[],[f5860]) ).

cnf(s532,plain,
    ( ~ spl2_12
    | spl2_22
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f5994]) ).

cnf(s534,plain,
    ( ~ spl2_98
    | spl2_125
    | spl2_126 ),
    inference(sat_conversion,[],[f6002]) ).

cnf(s535,plain,
    ( spl2_87
    | ~ spl2_98
    | ~ spl2_133 ),
    inference(sat_conversion,[],[f6003]) ).

cnf(s539,plain,
    ( spl2_11
    | ~ spl2_25
    | ~ spl2_47
    | ~ spl2_80
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f6013]) ).

cnf(s547,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_98 ),
    inference(sat_conversion,[],[f6024]) ).

cnf(s548,plain,
    ( spl2_72
    | ~ spl2_98
    | spl2_126 ),
    inference(sat_conversion,[],[f6025]) ).

cnf(s551,plain,
    ( ~ spl2_16
    | ~ spl2_87
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f6042]) ).

cnf(s552,plain,
    ( ~ spl2_61
    | spl2_88 ),
    inference(sat_conversion,[],[f6043]) ).

cnf(s570,plain,
    ( spl2_9
    | spl2_149
    | ~ spl2_176 ),
    inference(sat_conversion,[],[f6220]) ).

cnf(s574,plain,
    ( spl2_72
    | spl2_126
    | ~ spl2_176 ),
    inference(sat_conversion,[],[f6225]) ).

cnf(s575,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_176 ),
    inference(sat_conversion,[],[f6227]) ).

cnf(s576,plain,
    ( spl2_11
    | ~ spl2_25
    | ~ spl2_47
    | ~ spl2_80
    | ~ spl2_176 ),
    inference(sat_conversion,[],[f6228]) ).

cnf(s579,plain,
    ( ~ spl2_31
    | ~ spl2_41
    | ~ spl2_61 ),
    inference(sat_conversion,[],[f6243]) ).

cnf(s581,plain,
    ( ~ spl2_57
    | ~ spl2_88
    | ~ spl2_89
    | spl2_206 ),
    inference(sat_conversion,[],[f6275]) ).

cnf(s582,plain,
    ( ~ spl2_31
    | ~ spl2_183
    | ~ spl2_192 ),
    inference(sat_conversion,[],[f6287]) ).

cnf(s583,plain,
    ( ~ spl2_132
    | ~ spl2_183
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f6289]) ).

cnf(s584,plain,
    ( ~ spl2_41
    | ~ spl2_102
    | ~ spl2_165 ),
    inference(sat_conversion,[],[f6316]) ).

cnf(s586,plain,
    ( ~ spl2_54
    | ~ spl2_133
    | ~ spl2_165 ),
    inference(sat_conversion,[],[f6318]) ).

cnf(s587,plain,
    ( ~ spl2_12
    | spl2_21
    | ~ spl2_22 ),
    inference(sat_conversion,[],[f6319]) ).

cnf(s588,plain,
    ( ~ spl2_19
    | ~ spl2_177
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f6320]) ).

cnf(s590,plain,
    ( ~ spl2_12
    | ~ spl2_22
    | spl2_211 ),
    inference(sat_conversion,[],[f6325]) ).

cnf(s592,plain,
    ( ~ spl2_48
    | spl2_167 ),
    inference(sat_conversion,[],[f6332]) ).

cnf(s593,plain,
    ( ~ spl2_19
    | spl2_123 ),
    inference(sat_conversion,[],[f6340]) ).

cnf(s613,plain,
    ( spl2_31
    | ~ spl2_101 ),
    inference(sat_conversion,[],[f6435]) ).

cnf(s614,plain,
    ( ~ spl2_11
    | spl2_157 ),
    inference(sat_conversion,[],[f6447]) ).

cnf(s615,plain,
    ( ~ spl2_11
    | ~ spl2_14
    | ~ spl2_79 ),
    inference(sat_conversion,[],[f6449]) ).

cnf(s616,plain,
    ( spl2_77
    | ~ spl2_213 ),
    inference(sat_conversion,[],[f6456]) ).

cnf(s626,plain,
    ( ~ spl2_14
    | ~ spl2_48
    | ~ spl2_123 ),
    inference(sat_conversion,[],[f6540]) ).

cnf(s627,plain,
    ( ~ spl2_79
    | ~ spl2_84
    | ~ spl2_165 ),
    inference(sat_conversion,[],[f6548]) ).

cnf(s656,plain,
    ( ~ spl2_33
    | ~ spl2_61
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f6882]) ).

cnf(s661,plain,
    ( ~ spl2_38
    | ~ spl2_61
    | ~ spl2_167 ),
    inference(sat_conversion,[],[f6912]) ).

cnf(s677,plain,
    ( ~ spl2_19
    | ~ spl2_73
    | ~ spl2_177 ),
    inference(sat_conversion,[],[f7084]) ).

cnf(s681,plain,
    ( ~ spl2_89
    | ~ spl2_177
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f7088]) ).

cnf(s686,plain,
    ( spl2_24
    | ~ spl2_202 ),
    inference(sat_conversion,[],[f7096]) ).

cnf(s687,plain,
    ( ~ spl2_120
    | ~ spl2_135
    | spl2_188
    | spl2_193
    | ~ spl2_218 ),
    inference(sat_conversion,[],[f7100]) ).

cnf(s689,plain,
    ( ~ spl2_17
    | spl2_155 ),
    inference(sat_conversion,[],[f7106]) ).

cnf(s700,plain,
    ( ~ spl2_21
    | ~ spl2_61
    | ~ spl2_89 ),
    inference(sat_conversion,[],[f7255]) ).

cnf(s701,plain,
    ( ~ spl2_61
    | ~ spl2_88
    | ~ spl2_126 ),
    inference(sat_conversion,[],[f7283]) ).

cnf(s704,plain,
    ( ~ spl2_12
    | spl2_38
    | ~ spl2_119
    | ~ spl2_139 ),
    inference(sat_conversion,[],[f7309]) ).

cnf(s707,plain,
    ( ~ spl2_120
    | ~ spl2_135
    | ~ spl2_217 ),
    inference(sat_conversion,[],[f7350]) ).

cnf(s708,plain,
    ( ~ spl2_5
    | spl2_77
    | ~ spl2_217 ),
    inference(sat_conversion,[],[f7352]) ).

cnf(s709,plain,
    ( ~ spl2_19
    | ~ spl2_97
    | ~ spl2_193 ),
    inference(sat_conversion,[],[f7360]) ).

cnf(s718,plain,
    ( ~ spl2_155
    | ~ spl2_177
    | ~ spl2_192 ),
    inference(sat_conversion,[],[f7429]) ).

cnf(s724,plain,
    ( ~ spl2_77
    | ~ spl2_167
    | ~ spl2_193 ),
    inference(sat_conversion,[],[f7478]) ).

cnf(s726,plain,
    ( ~ spl2_7
    | spl2_17
    | ~ spl2_62 ),
    inference(sat_conversion,[],[f7480]) ).

cnf(s727,plain,
    ( ~ spl2_31
    | ~ spl2_48
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f7497]) ).

cnf(s730,plain,
    ( ~ spl2_167
    | ~ spl2_185
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f7516]) ).

cnf(s736,plain,
    ( ~ spl2_97
    | ~ spl2_137
    | ~ spl2_177 ),
    inference(sat_conversion,[],[f7583]) ).

cnf(s741,plain,
    ( ~ spl2_71
    | ~ spl2_137 ),
    inference(sat_conversion,[],[f7641]) ).

cnf(s742,plain,
    ( ~ spl2_36
    | ~ spl2_175
    | spl2_183 ),
    inference(sat_conversion,[],[f7642]) ).

cnf(s751,plain,
    ( ~ spl2_33
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(sat_conversion,[],[f7728]) ).

cnf(s752,plain,
    ( ~ spl2_16
    | ~ spl2_19
    | ~ spl2_167 ),
    inference(sat_conversion,[],[f7729]) ).

cnf(s758,plain,
    ( ~ spl2_135
    | ~ spl2_169
    | ~ spl2_182 ),
    inference(sat_conversion,[],[f7809]) ).

cnf(s760,plain,
    ( ~ spl2_69
    | spl2_77
    | ~ spl2_182 ),
    inference(sat_conversion,[],[f7812]) ).

cnf(s776,plain,
    ( ~ spl2_38
    | ~ spl2_170
    | ~ spl2_188 ),
    inference(sat_conversion,[],[f8010]) ).

cnf(s781,plain,
    ( spl2_17
    | spl2_81
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f8027]) ).

cnf(s784,plain,
    ( ~ spl2_17
    | ~ spl2_97
    | ~ spl2_193 ),
    inference(sat_conversion,[],[f8030]) ).

cnf(s791,plain,
    ( ~ spl2_73
    | ~ spl2_141 ),
    inference(sat_conversion,[],[f8106]) ).

cnf(s792,plain,
    ( ~ spl2_73
    | ~ spl2_137 ),
    inference(sat_conversion,[],[f8108]) ).

cnf(s793,plain,
    ( ~ spl2_97
    | ~ spl2_155
    | ~ spl2_188 ),
    inference(sat_conversion,[],[f8110]) ).

cnf(s838,plain,
    ( ~ spl2_36
    | ~ spl2_139
    | spl2_183
    | ~ spl2_186 ),
    inference(sat_conversion,[],[f8756]) ).

cnf(s849,plain,
    ( spl2_61
    | spl2_69 ),
    inference(sat_conversion,[],[f8933]) ).

cnf(s853,plain,
    ( ~ spl2_5
    | ~ spl2_69
    | spl2_165
    | ~ spl2_198 ),
    inference(sat_conversion,[],[f8937]) ).

cnf(s854,plain,
    ( ~ spl2_36
    | ~ spl2_69
    | spl2_77
    | ~ spl2_247 ),
    inference(sat_conversion,[],[f8939]) ).

cnf(s856,plain,
    ( ~ spl2_14
    | ~ spl2_33
    | ~ spl2_54 ),
    inference(sat_conversion,[],[f9007]) ).

cnf(s857,plain,
    ( ~ spl2_139
    | spl2_188
    | spl2_250 ),
    inference(sat_conversion,[],[f9011]) ).

cnf(s859,plain,
    ( ~ spl2_12
    | ~ spl2_23
    | spl2_62
    | spl2_213 ),
    inference(sat_conversion,[],[f9016]) ).

cnf(s865,plain,
    ( ~ spl2_19
    | ~ spl2_41
    | ~ spl2_79 ),
    inference(sat_conversion,[],[f9040]) ).

cnf(s873,plain,
    ( ~ spl2_62
    | spl2_65 ),
    inference(sat_conversion,[],[f9228]) ).

cnf(s879,plain,
    ( ~ spl2_4
    | ~ spl2_61
    | ~ spl2_132
    | ~ spl2_133
    | spl2_164
    | ~ spl2_170 ),
    inference(sat_conversion,[],[f9349]) ).

cnf(s881,plain,
    ( ~ spl2_4
    | ~ spl2_61
    | ~ spl2_133
    | spl2_164
    | spl2_193 ),
    inference(sat_conversion,[],[f9354]) ).

cnf(s882,plain,
    ( ~ spl2_4
    | ~ spl2_16
    | ~ spl2_97
    | spl2_164
    | spl2_193 ),
    inference(sat_conversion,[],[f9355]) ).

cnf(s885,plain,
    ( ~ spl2_5
    | spl2_16
    | ~ spl2_81 ),
    inference(sat_conversion,[],[f9368]) ).

cnf(s888,plain,
    ( ~ spl2_12
    | ~ spl2_23
    | ~ spl2_64
    | ~ spl2_253 ),
    inference(sat_conversion,[],[f9372]) ).

cnf(s890,plain,
    ( spl2_16
    | spl2_62
    | ~ spl2_82 ),
    inference(sat_conversion,[],[f9374]) ).

cnf(s908,plain,
    ( ~ spl2_48
    | ~ spl2_54
    | ~ spl2_132 ),
    inference(sat_conversion,[],[f9442]) ).

cnf(s918,plain,
    ( ~ spl2_136
    | ~ spl2_188
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f9495]) ).

cnf(s930,plain,
    ( ~ spl2_31
    | ~ spl2_170
    | ~ spl2_188 ),
    inference(sat_conversion,[],[f9633]) ).

cnf(s947,plain,
    ( ~ spl2_31
    | ~ spl2_133
    | ~ spl2_193 ),
    inference(sat_conversion,[],[f9833]) ).

cnf(s952,plain,
    ( ~ spl2_41
    | ~ spl2_171
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f9848]) ).

cnf(s983,plain,
    ( ~ spl2_133
    | ~ spl2_137
    | ~ spl2_183 ),
    inference(sat_conversion,[],[f10318]) ).

cnf(s990,plain,
    ( ~ spl2_29
    | ~ spl2_139
    | spl2_183
    | ~ spl2_259 ),
    inference(sat_conversion,[],[f10415]) ).

cnf(s991,plain,
    ( ~ spl2_25
    | ~ spl2_119
    | ~ spl2_181
    | spl2_192 ),
    inference(sat_conversion,[],[f10456]) ).

cnf(s995,plain,
    ( spl2_38
    | ~ spl2_81
    | ~ spl2_97
    | spl2_99
    | ~ spl2_133 ),
    inference(sat_conversion,[],[f10540]) ).

cnf(s996,plain,
    ( ~ spl2_5
    | ~ spl2_7
    | spl2_17
    | ~ spl2_92 ),
    inference(sat_conversion,[],[f10541]) ).

cnf(s997,plain,
    ( ~ spl2_7
    | ~ spl2_119
    | ~ spl2_186
    | spl2_192 ),
    inference(sat_conversion,[],[f10542]) ).

cnf(s999,plain,
    ( ~ spl2_7
    | ~ spl2_13
    | spl2_24
    | ~ spl2_25 ),
    inference(sat_conversion,[],[f10547]) ).

cnf(s1002,plain,
    ( ~ spl2_5
    | ~ spl2_75
    | spl2_185
    | ~ spl2_259 ),
    inference(sat_conversion,[],[f10551]) ).

cnf(s1021,plain,
    ( ~ spl2_77
    | ~ spl2_136
    | ~ spl2_171 ),
    inference(sat_conversion,[],[f10744]) ).

cnf(s1057,plain,
    ( ~ spl2_29
    | spl2_170
    | ~ spl2_217 ),
    inference(sat_conversion,[],[f11223]) ).

cnf(s1063,plain,
    ( ~ spl2_61
    | ~ spl2_77
    | ~ spl2_170 ),
    inference(sat_conversion,[],[f11247]) ).

cnf(s1067,plain,
    ( ~ spl2_77
    | ~ spl2_88
    | ~ spl2_133 ),
    inference(sat_conversion,[],[f11269]) ).

cnf(s1073,plain,
    ( ~ spl2_75
    | ~ spl2_139
    | ~ spl2_253
    | ~ spl2_277 ),
    inference(sat_conversion,[],[f11343]) ).

cnf(s1077,plain,
    ( spl2_77
    | spl2_277 ),
    inference(sat_conversion,[],[f11357]) ).

cnf(s1079,plain,
    ( ~ spl2_6
    | spl2_77
    | ~ spl2_97
    | ~ spl2_155 ),
    inference(sat_conversion,[],[f11433]) ).

cnf(s1108,plain,
    ( ~ spl2_12
    | ~ spl2_64
    | spl2_77
    | ~ spl2_139 ),
    inference(sat_conversion,[],[f11760]) ).

cnf(s1109,plain,
    ( spl2_77
    | ~ spl2_139
    | spl2_279 ),
    inference(sat_conversion,[],[f11764]) ).

cnf(s1112,plain,
    ( ~ spl2_61
    | ~ spl2_88
    | ~ spl2_149 ),
    inference(sat_conversion,[],[f11768]) ).

cnf(s1113,plain,
    ( ~ spl2_139
    | spl2_170
    | spl2_247 ),
    inference(sat_conversion,[],[f11769]) ).

cnf(s1117,plain,
    ( ~ spl2_19
    | ~ spl2_21
    | ~ spl2_132 ),
    inference(sat_conversion,[],[f11816]) ).

cnf(s1118,plain,
    ( ~ spl2_31
    | ~ spl2_33
    | ~ spl2_155 ),
    inference(sat_conversion,[],[f11826]) ).

cnf(s1119,plain,
    ( ~ spl2_19
    | ~ spl2_33
    | ~ spl2_132 ),
    inference(sat_conversion,[],[f11828]) ).

cnf(s1127,plain,
    ( ~ spl2_7
    | ~ spl2_69
    | spl2_77
    | ~ spl2_250 ),
    inference(sat_conversion,[],[f11851]) ).

cnf(s1129,plain,
    ( spl2_33
    | ~ spl2_97
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f11978]) ).

cnf(s1136,plain,
    ( spl2_11
    | ~ spl2_23
    | ~ spl2_62
    | ~ spl2_99 ),
    inference(sat_conversion,[],[f11990]) ).

cnf(s1137,plain,
    ( spl2_11
    | ~ spl2_99
    | ~ spl2_211 ),
    inference(sat_conversion,[],[f11992]) ).

cnf(s1141,plain,
    ( spl2_72
    | spl2_126
    | ~ spl2_164 ),
    inference(sat_conversion,[],[f12129]) ).

cnf(s1148,plain,
    ( ~ spl2_5
    | ~ spl2_7
    | ~ spl2_52
    | spl2_149
    | ~ spl2_164 ),
    inference(sat_conversion,[],[f12142]) ).

cnf(s1150,plain,
    ( ~ spl2_4
    | ~ spl2_5
    | spl2_149
    | ~ spl2_164 ),
    inference(sat_conversion,[],[f12149]) ).

cnf(s1156,plain,
    ( spl2_11
    | ~ spl2_23
    | ~ spl2_62
    | ~ spl2_164 ),
    inference(sat_conversion,[],[f12161]) ).

cnf(s1157,plain,
    ( spl2_9
    | spl2_149
    | ~ spl2_164 ),
    inference(sat_conversion,[],[f12162]) ).

cnf(s1160,plain,
    ( ~ spl2_5
    | ~ spl2_20
    | ~ spl2_64
    | spl2_65 ),
    inference(sat_conversion,[],[f12164]) ).

cnf(s1163,plain,
    ( ~ spl2_11
    | ~ spl2_97 ),
    inference(sat_conversion,[],[f12167]) ).

cnf(s1182,plain,
    ( spl2_38
    | ~ spl2_45
    | spl2_54 ),
    inference(sat_conversion,[],[f12290]) ).

cnf(s1183,plain,
    ( ~ spl2_45
    | ~ spl2_77
    | ~ spl2_136
    | spl2_190 ),
    inference(sat_conversion,[],[f12291]) ).

cnf(s1188,plain,
    ( ~ spl2_72
    | spl2_282
    | spl2_283 ),
    inference(sat_conversion,[],[f12374]) ).

cnf(s1196,plain,
    ( spl2_31
    | spl2_38
    | ~ spl2_72 ),
    inference(sat_conversion,[],[f12400]) ).

cnf(s1197,plain,
    ( spl2_31
    | ~ spl2_72
    | spl2_282 ),
    inference(sat_conversion,[],[f12401]) ).

cnf(s1200,plain,
    ( ~ spl2_121
    | ~ spl2_123
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f12428]) ).

cnf(s1205,plain,
    ( ~ spl2_17
    | ~ spl2_19
    | ~ spl2_157 ),
    inference(sat_conversion,[],[f12482]) ).

cnf(s1214,plain,
    ( ~ spl2_119
    | ~ spl2_138
    | ~ spl2_197 ),
    inference(sat_conversion,[],[f12593]) ).

cnf(s1217,plain,
    ( ~ spl2_71
    | ~ spl2_136 ),
    inference(sat_conversion,[],[f12625]) ).

cnf(s1229,plain,
    ( ~ spl2_61
    | ~ spl2_133
    | ~ spl2_165 ),
    inference(sat_conversion,[],[f12755]) ).

cnf(s1254,plain,
    ( ~ spl2_64
    | ~ spl2_75
    | ~ spl2_181
    | spl2_185 ),
    inference(sat_conversion,[],[f13089]) ).

cnf(s1255,plain,
    ( ~ spl2_62
    | spl2_90 ),
    inference(sat_conversion,[],[f13126]) ).

cnf(s1267,plain,
    ( ~ spl2_84
    | ~ spl2_90
    | ~ spl2_136
    | spl2_171
    | spl2_176
    | spl2_178 ),
    inference(sat_conversion,[],[f13257]) ).

cnf(s1269,plain,
    ( ~ spl2_90
    | ~ spl2_97
    | ~ spl2_137
    | spl2_171
    | spl2_176
    | spl2_178 ),
    inference(sat_conversion,[],[f13260]) ).

cnf(s1271,plain,
    ( ~ spl2_19
    | ~ spl2_90
    | spl2_171
    | spl2_176
    | spl2_178
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f13265]) ).

cnf(s1274,plain,
    ( ~ spl2_19
    | ~ spl2_90
    | spl2_171
    | spl2_176
    | spl2_178
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f13268]) ).

cnf(s1277,plain,
    ( ~ spl2_87
    | ~ spl2_90
    | spl2_98
    | ~ spl2_133
    | spl2_164
    | spl2_165 ),
    inference(sat_conversion,[],[f13276]) ).

cnf(s1286,plain,
    ( ~ spl2_39
    | spl2_41
    | ~ spl2_69
    | spl2_287 ),
    inference(sat_conversion,[],[f13351]) ).

cnf(s1291,plain,
    ( ~ spl2_126
    | ~ spl2_133 ),
    inference(sat_conversion,[],[f13359]) ).

cnf(s1296,plain,
    ( ~ spl2_4
    | ~ spl2_23
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f13384]) ).

cnf(s1299,plain,
    ( spl2_4
    | ~ spl2_5
    | spl2_31
    | ~ spl2_69 ),
    inference(sat_conversion,[],[f13387]) ).

cnf(s1300,plain,
    ( ~ spl2_5
    | ~ spl2_7
    | spl2_31
    | spl2_38
    | ~ spl2_69 ),
    inference(sat_conversion,[],[f13388]) ).

cnf(s1304,plain,
    ( spl2_17
    | spl2_41
    | ~ spl2_90 ),
    inference(sat_conversion,[],[f13400]) ).

cnf(s1310,plain,
    ( spl2_192
    | spl2_218 ),
    inference(sat_conversion,[],[f13450]) ).

cnf(s1315,plain,
    ( spl2_124
    | spl2_177
    | spl2_178 ),
    inference(sat_conversion,[],[f13522]) ).

cnf(s1328,plain,
    ( ~ spl2_31
    | ~ spl2_180
    | ~ spl2_192 ),
    inference(sat_conversion,[],[f13559]) ).

cnf(s1341,plain,
    ( ~ spl2_17
    | ~ spl2_177
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f13745]) ).

cnf(s1369,plain,
    ( ~ spl2_135
    | spl2_192
    | spl2_292 ),
    inference(sat_conversion,[],[f14239]) ).

cnf(s1373,plain,
    ( ~ spl2_135
    | spl2_183
    | spl2_293 ),
    inference(sat_conversion,[],[f14370]) ).

cnf(s1375,plain,
    ( ~ spl2_69
    | ~ spl2_135
    | spl2_183
    | spl2_185
    | ~ spl2_294 ),
    inference(sat_conversion,[],[f14377]) ).

cnf(s1382,plain,
    ( ~ spl2_206
    | spl2_263
    | spl2_265
    | ~ spl2_266 ),
    inference(sat_conversion,[],[f14450]) ).

cnf(s1387,plain,
    ( ~ spl2_6
    | spl2_185
    | spl2_192 ),
    inference(sat_conversion,[],[f14559]) ).

cnf(s1392,plain,
    ( ~ spl2_6
    | ~ spl2_77
    | ~ spl2_137
    | spl2_192 ),
    inference(sat_conversion,[],[f14565]) ).

cnf(s1393,plain,
    ( ~ spl2_14
    | ~ spl2_81
    | spl2_98
    | ~ spl2_165
    | spl2_193 ),
    inference(sat_conversion,[],[f14566]) ).

cnf(s1405,plain,
    ( spl2_11
    | ~ spl2_25
    | ~ spl2_47
    | ~ spl2_80
    | ~ spl2_265 ),
    inference(sat_conversion,[],[f14763]) ).

cnf(s1425,plain,
    ( ~ spl2_23
    | ~ spl2_25
    | spl2_41
    | spl2_48
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f14836]) ).

cnf(s1428,plain,
    ( ~ spl2_23
    | spl2_41
    | ~ spl2_80
    | spl2_81 ),
    inference(sat_conversion,[],[f14840]) ).

cnf(s1453,plain,
    ( ~ spl2_77
    | ~ spl2_136
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f15315]) ).

cnf(s1466,plain,
    ( ~ spl2_17
    | ~ spl2_91
    | spl2_176
    | spl2_178
    | spl2_185
    | ~ spl2_192 ),
    inference(sat_conversion,[],[f15441]) ).

cnf(s1470,plain,
    ( spl2_41
    | spl2_54
    | spl2_55
    | ~ spl2_96 ),
    inference(sat_conversion,[],[f15481]) ).

cnf(s1471,plain,
    ( spl2_248
    | ~ spl2_287 ),
    inference(sat_conversion,[],[f15490]) ).

cnf(s1474,plain,
    ( ~ spl2_24
    | spl2_97
    | ~ spl2_137
    | ~ spl2_192 ),
    inference(sat_conversion,[],[f15544]) ).

cnf(s1479,plain,
    ( ~ spl2_113
    | ~ spl2_155
    | spl2_178
    | spl2_179
    | ~ spl2_192 ),
    inference(sat_conversion,[],[f15602]) ).

cnf(s1481,plain,
    ( ~ spl2_54
    | ~ spl2_77
    | ~ spl2_170 ),
    inference(sat_conversion,[],[f15604]) ).

cnf(s1483,plain,
    ( spl2_38
    | spl2_48
    | ~ spl2_287 ),
    inference(sat_conversion,[],[f15608]) ).

cnf(s1486,plain,
    ( spl2_67
    | spl2_170
    | spl2_294 ),
    inference(sat_conversion,[],[f15613]) ).

cnf(s1487,plain,
    ( spl2_99
    | spl2_170
    | spl2_294 ),
    inference(sat_conversion,[],[f15614]) ).

cnf(s1491,plain,
    ( ~ spl2_4
    | ~ spl2_136
    | spl2_164
    | spl2_165
    | ~ spl2_190 ),
    inference(sat_conversion,[],[f15704]) ).

cnf(s1492,plain,
    ( ~ spl2_4
    | spl2_164
    | spl2_165
    | spl2_193 ),
    inference(sat_conversion,[],[f15706]) ).

cnf(s1493,plain,
    ( ~ spl2_4
    | spl2_171
    | spl2_176
    | spl2_190 ),
    inference(sat_conversion,[],[f15709]) ).

cnf(s1523,plain,
    ( ~ spl2_137
    | ~ spl2_165
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f15903]) ).

cnf(s1525,plain,
    ( ~ spl2_137
    | ~ spl2_165
    | ~ spl2_171 ),
    inference(sat_conversion,[],[f15925]) ).

cnf(s1526,plain,
    ( ~ spl2_5
    | ~ spl2_7
    | spl2_31
    | ~ spl2_253 ),
    inference(sat_conversion,[],[f15926]) ).

cnf(s1552,plain,
    ( ~ spl2_6
    | spl2_77
    | spl2_188 ),
    inference(sat_conversion,[],[f16146]) ).

cnf(s1559,plain,
    ( ~ spl2_90
    | spl2_97
    | spl2_98
    | spl2_164
    | spl2_165 ),
    inference(sat_conversion,[],[f16405]) ).

cnf(s1566,plain,
    ( spl2_63
    | spl2_87 ),
    inference(sat_conversion,[],[f16435]) ).

cnf(s1567,plain,
    ( spl2_121
    | spl2_298 ),
    inference(sat_conversion,[],[f16436]) ).

cnf(s1569,plain,
    ( ~ spl2_17
    | ~ spl2_188
    | spl2_296 ),
    inference(sat_conversion,[],[f16439]) ).

cnf(s1586,plain,
    ( spl2_85
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f16554]) ).

cnf(s1591,plain,
    ( ~ spl2_38
    | ~ spl2_87
    | ~ spl2_123 ),
    inference(sat_conversion,[],[f16570]) ).

cnf(s1597,plain,
    ( ~ spl2_22
    | ~ spl2_63
    | ~ spl2_94 ),
    inference(sat_conversion,[],[f16639]) ).

cnf(s1600,plain,
    ( spl2_54
    | spl2_55
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f16672]) ).

cnf(s1601,plain,
    ( spl2_33
    | spl2_99
    | ~ spl2_282 ),
    inference(sat_conversion,[],[f16676]) ).

cnf(s1616,plain,
    ( ~ spl2_135
    | spl2_168
    | ~ spl2_169
    | spl2_170 ),
    inference(sat_conversion,[],[f16854]) ).

cnf(s1641,plain,
    ( ~ spl2_63
    | ~ spl2_168
    | ~ spl2_298 ),
    inference(sat_conversion,[],[f17074]) ).

cnf(s1643,plain,
    ( ~ spl2_39
    | ~ spl2_168
    | spl2_192 ),
    inference(sat_conversion,[],[f17076]) ).

cnf(s1648,plain,
    ( ~ spl2_61
    | ~ spl2_183
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f17157]) ).

cnf(s1650,plain,
    ( ~ spl2_6
    | ~ spl2_61
    | ~ spl2_183
    | spl2_192 ),
    inference(sat_conversion,[],[f17160]) ).

cnf(s1655,plain,
    ( spl2_77
    | ~ spl2_122
    | ~ spl2_135
    | spl2_175 ),
    inference(sat_conversion,[],[f17170]) ).

cnf(s1666,plain,
    ( ~ spl2_122
    | ~ spl2_140
    | spl2_175
    | spl2_266 ),
    inference(sat_conversion,[],[f17185]) ).

cnf(s1683,plain,
    ( ~ spl2_88
    | ~ spl2_180
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f17363]) ).

cnf(s1688,plain,
    ( spl2_185
    | spl2_286 ),
    inference(sat_conversion,[],[f17370]) ).

cnf(s1695,plain,
    ( spl2_122
    | spl2_171
    | spl2_176 ),
    inference(sat_conversion,[],[f17399]) ).

cnf(s1703,plain,
    ( ~ spl2_33
    | ~ spl2_138
    | spl2_181
    | ~ spl2_183 ),
    inference(sat_conversion,[],[f17555]) ).

cnf(s1708,plain,
    ( ~ spl2_76
    | ~ spl2_139
    | ~ spl2_258
    | ~ spl2_277 ),
    inference(sat_conversion,[],[f17704]) ).

cnf(s1709,plain,
    ( spl2_31
    | ~ spl2_125
    | ~ spl2_139
    | ~ spl2_191 ),
    inference(sat_conversion,[],[f17734]) ).

cnf(s1711,plain,
    ( ~ spl2_59
    | ~ spl2_76
    | ~ spl2_139
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f17771]) ).

cnf(s1713,plain,
    ( spl2_97
    | ~ spl2_124
    | ~ spl2_135
    | ~ spl2_296
    | ~ spl2_298 ),
    inference(sat_conversion,[],[f17856]) ).

cnf(s1714,plain,
    ( ~ spl2_23
    | ~ spl2_64
    | spl2_77
    | spl2_97
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f17859]) ).

cnf(s1716,plain,
    ( ~ spl2_16
    | spl2_63
    | ~ spl2_88 ),
    inference(sat_conversion,[],[f17865]) ).

cnf(s1720,plain,
    ( ~ spl2_25
    | spl2_33
    | ~ spl2_39
    | spl2_99
    | spl2_204 ),
    inference(sat_conversion,[],[f17872]) ).

cnf(s1722,plain,
    ( ~ spl2_6
    | ~ spl2_16
    | spl2_300 ),
    inference(sat_conversion,[],[f17877]) ).

cnf(s1723,plain,
    ( ~ spl2_23
    | ~ spl2_63
    | spl2_97
    | ~ spl2_184 ),
    inference(sat_conversion,[],[f17879]) ).

cnf(s1725,plain,
    ( ~ spl2_7
    | ~ spl2_39
    | ~ spl2_184
    | spl2_193 ),
    inference(sat_conversion,[],[f17884]) ).

cnf(s1733,plain,
    ( spl2_33
    | spl2_59
    | ~ spl2_63 ),
    inference(sat_conversion,[],[f17951]) ).

cnf(s1739,plain,
    ( ~ spl2_135
    | ~ spl2_169
    | ~ spl2_279
    | ~ spl2_286 ),
    inference(sat_conversion,[],[f18118]) ).

cnf(s1740,plain,
    ( ~ spl2_75
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_314 ),
    inference(sat_conversion,[],[f18140]) ).

cnf(s1741,plain,
    ( ~ spl2_7
    | spl2_185
    | ~ spl2_277
    | ~ spl2_292 ),
    inference(sat_conversion,[],[f18181]) ).

cnf(s1742,plain,
    ( ~ spl2_25
    | ~ spl2_292
    | ~ spl2_296
    | ~ spl2_298 ),
    inference(sat_conversion,[],[f18182]) ).

cnf(s1743,plain,
    ( ~ spl2_76
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_308 ),
    inference(sat_conversion,[],[f18206]) ).

cnf(s1749,plain,
    ( spl2_84
    | spl2_296 ),
    inference(sat_conversion,[],[f18213]) ).

cnf(s1750,plain,
    ( ~ spl2_76
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_308 ),
    inference(sat_conversion,[],[f18215]) ).

cnf(s1765,plain,
    ( ~ spl2_123
    | ~ spl2_193
    | spl2_296 ),
    inference(sat_conversion,[],[f18253]) ).

cnf(s1766,plain,
    ( ~ spl2_25
    | spl2_31
    | ~ spl2_59
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f18254]) ).

cnf(s1767,plain,
    ( ~ spl2_7
    | spl2_31
    | ~ spl2_56
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f18255]) ).

cnf(s1768,plain,
    ( spl2_31
    | ~ spl2_63
    | ~ spl2_80
    | spl2_81 ),
    inference(sat_conversion,[],[f18256]) ).

cnf(s1769,plain,
    ( spl2_17
    | ~ spl2_22
    | ~ spl2_63
    | ~ spl2_201 ),
    inference(sat_conversion,[],[f18257]) ).

cnf(s1770,plain,
    ( spl2_19
    | ~ spl2_63
    | ~ spl2_204 ),
    inference(sat_conversion,[],[f18258]) ).

cnf(s1771,plain,
    ( ~ spl2_22
    | ~ spl2_60
    | ~ spl2_63
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f18260]) ).

cnf(s1772,plain,
    ( ~ spl2_25
    | spl2_31
    | spl2_38
    | ~ spl2_63
    | ~ spl2_80 ),
    inference(sat_conversion,[],[f18261]) ).

cnf(s1773,plain,
    ( spl2_19
    | ~ spl2_39
    | ~ spl2_63
    | spl2_96 ),
    inference(sat_conversion,[],[f18262]) ).

cnf(s1775,plain,
    ( ~ spl2_22
    | ~ spl2_59
    | ~ spl2_63 ),
    inference(sat_conversion,[],[f18264]) ).

cnf(s1776,plain,
    ( ~ spl2_63
    | ~ spl2_64
    | ~ spl2_80
    | ~ spl2_288 ),
    inference(sat_conversion,[],[f18265]) ).

cnf(s1777,plain,
    ( spl2_17
    | ~ spl2_39
    | ~ spl2_63
    | spl2_95 ),
    inference(sat_conversion,[],[f18267]) ).

cnf(s1778,plain,
    ( ~ spl2_17
    | ~ spl2_192
    | spl2_298 ),
    inference(sat_conversion,[],[f18268]) ).

cnf(s1779,plain,
    ( ~ spl2_63
    | ~ spl2_80
    | spl2_97
    | ~ spl2_198 ),
    inference(sat_conversion,[],[f18269]) ).

cnf(s1780,plain,
    ( ~ spl2_63
    | ~ spl2_78
    | spl2_183
    | ~ spl2_308 ),
    inference(sat_conversion,[],[f18270]) ).

cnf(s1783,plain,
    ( ~ spl2_63
    | ~ spl2_70 ),
    inference(sat_conversion,[],[f18313]) ).

cnf(s1785,plain,
    ( ~ spl2_14
    | ~ spl2_77
    | spl2_296 ),
    inference(sat_conversion,[],[f18323]) ).

cnf(s1790,plain,
    ( spl2_76
    | spl2_97
    | spl2_98 ),
    inference(sat_conversion,[],[f18358]) ).

cnf(s1791,plain,
    ( spl2_55
    | spl2_76
    | spl2_97 ),
    inference(sat_conversion,[],[f18359]) ).

cnf(s1794,plain,
    ( ~ spl2_79
    | ~ spl2_171
    | spl2_298 ),
    inference(sat_conversion,[],[f18376]) ).

cnf(s1796,plain,
    ( spl2_72
    | spl2_126
    | ~ spl2_263 ),
    inference(sat_conversion,[],[f18478]) ).

cnf(s1810,plain,
    ( ~ spl2_5
    | ~ spl2_23
    | ~ spl2_60
    | spl2_61 ),
    inference(sat_conversion,[],[f18574]) ).

cnf(s1811,plain,
    ( ~ spl2_56
    | ~ spl2_75
    | ~ spl2_139
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f18575]) ).

cnf(s1812,plain,
    ( ~ spl2_23
    | ~ spl2_59
    | spl2_61
    | ~ spl2_64 ),
    inference(sat_conversion,[],[f18576]) ).

cnf(s1813,plain,
    ( ~ spl2_60
    | ~ spl2_119
    | ~ spl2_139
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f18577]) ).

cnf(s1816,plain,
    ( ~ spl2_23
    | spl2_61
    | spl2_62
    | ~ spl2_63 ),
    inference(sat_conversion,[],[f18580]) ).

cnf(s1818,plain,
    ( spl2_38
    | ~ spl2_139
    | spl2_198 ),
    inference(sat_conversion,[],[f18582]) ).

cnf(s1820,plain,
    ( spl2_54
    | spl2_56
    | ~ spl2_63 ),
    inference(sat_conversion,[],[f18584]) ).

cnf(s1821,plain,
    ( spl2_54
    | ~ spl2_139
    | spl2_184 ),
    inference(sat_conversion,[],[f18585]) ).

cnf(s1822,plain,
    ( spl2_38
    | spl2_60
    | ~ spl2_63 ),
    inference(sat_conversion,[],[f18586]) ).

cnf(s1829,plain,
    ( spl2_36
    | spl2_54
    | spl2_55 ),
    inference(sat_conversion,[],[f18628]) ).

cnf(s1865,plain,
    ( ~ spl2_54
    | ~ spl2_183
    | ~ spl2_185 ),
    inference(sat_conversion,[],[f19018]) ).

cnf(s1866,plain,
    ( ~ spl2_84
    | ~ spl2_137
    | spl2_298 ),
    inference(sat_conversion,[],[f19019]) ).

cnf(s1887,plain,
    ( ~ spl2_19
    | ~ spl2_31
    | ~ spl2_87 ),
    inference(sat_conversion,[],[f19234]) ).

cnf(s1893,plain,
    ( ~ spl2_23
    | ~ spl2_63
    | ~ spl2_64
    | ~ spl2_253 ),
    inference(sat_conversion,[],[f19345]) ).

cnf(s1899,plain,
    ( ~ spl2_19
    | ~ spl2_192
    | spl2_298 ),
    inference(sat_conversion,[],[f19406]) ).

cnf(s1911,plain,
    ( ~ spl2_138
    | spl2_171
    | spl2_186 ),
    inference(sat_conversion,[],[f19535]) ).

cnf(s1915,plain,
    ( ~ spl2_36
    | ~ spl2_63
    | spl2_170
    | ~ spl2_315 ),
    inference(sat_conversion,[],[f19677]) ).

cnf(s1916,plain,
    ( ~ spl2_119
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_320 ),
    inference(sat_conversion,[],[f19697]) ).

cnf(s1919,plain,
    ( ~ spl2_119
    | ~ spl2_138
    | ~ spl2_296
    | ~ spl2_320 ),
    inference(sat_conversion,[],[f19700]) ).

cnf(s1922,plain,
    ( ~ spl2_119
    | ~ spl2_138
    | spl2_192
    | spl2_217 ),
    inference(sat_conversion,[],[f19703]) ).

cnf(s1923,plain,
    ( ~ spl2_84
    | ~ spl2_136
    | ~ spl2_177 ),
    inference(sat_conversion,[],[f19704]) ).

cnf(s1927,plain,
    ( ~ spl2_97
    | ~ spl2_136
    | ~ spl2_177 ),
    inference(sat_conversion,[],[f19708]) ).

cnf(s1928,plain,
    ( ~ spl2_25
    | spl2_31
    | ~ spl2_94 ),
    inference(sat_conversion,[],[f19709]) ).

cnf(s1930,plain,
    ( ~ spl2_5
    | ~ spl2_23
    | spl2_185
    | ~ spl2_320 ),
    inference(sat_conversion,[],[f19712]) ).

cnf(s1955,plain,
    ( spl2_87
    | spl2_99
    | ~ spl2_283 ),
    inference(sat_conversion,[],[f19895]) ).

cnf(s1974,plain,
    ( ~ spl2_14
    | ~ spl2_185
    | spl2_298 ),
    inference(sat_conversion,[],[f20117]) ).

cnf(s1976,plain,
    ( ~ spl2_97
    | ~ spl2_137
    | spl2_298 ),
    inference(sat_conversion,[],[f20120]) ).

cnf(s1978,plain,
    ( spl2_14
    | ~ spl2_64
    | spl2_92 ),
    inference(sat_conversion,[],[f20122]) ).

cnf(s1994,plain,
    ( ~ spl2_6
    | ~ spl2_14
    | spl2_300 ),
    inference(sat_conversion,[],[f20413]) ).

cnf(s2000,plain,
    ( ~ spl2_22
    | ~ spl2_296
    | ~ spl2_317 ),
    inference(sat_conversion,[],[f20468]) ).

cnf(s2005,plain,
    ( spl2_133
    | spl2_139 ),
    inference(sat_conversion,[],[f20474]) ).

cnf(s2006,plain,
    ( ~ spl2_29
    | ~ spl2_63
    | spl2_183
    | ~ spl2_320 ),
    inference(sat_conversion,[],[f20475]) ).

cnf(s2012,plain,
    ( ~ spl2_63
    | spl2_94
    | spl2_170
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f20483]) ).

cnf(s2015,plain,
    ( ~ spl2_22
    | ~ spl2_80
    | ~ spl2_296
    | ~ spl2_302 ),
    inference(sat_conversion,[],[f20486]) ).

cnf(s2017,plain,
    ( ~ spl2_63
    | ~ spl2_78
    | spl2_170
    | ~ spl2_317 ),
    inference(sat_conversion,[],[f20488]) ).

cnf(s2023,plain,
    ( spl2_4
    | ~ spl2_7
    | spl2_17
    | ~ spl2_64 ),
    inference(sat_conversion,[],[f20494]) ).

cnf(s2024,plain,
    ( ~ spl2_14
    | ~ spl2_61
    | spl2_63 ),
    inference(sat_conversion,[],[f20495]) ).

cnf(s2028,plain,
    ( ~ spl2_63
    | spl2_94
    | spl2_183
    | ~ spl2_298 ),
    inference(sat_conversion,[],[f20499]) ).

cnf(s2030,plain,
    ( ~ spl2_5
    | ~ spl2_23
    | spl2_77
    | ~ spl2_302 ),
    inference(sat_conversion,[],[f20501]) ).

cnf(s2037,plain,
    ( ~ spl2_25
    | ~ spl2_39
    | spl2_87
    | spl2_99
    | spl2_202 ),
    inference(sat_conversion,[],[f20539]) ).

cnf(s2038,plain,
    ( ~ spl2_25
    | spl2_87
    | spl2_99
    | spl2_201 ),
    inference(sat_conversion,[],[f20540]) ).

cnf(s2039,plain,
    ( spl2_99
    | spl2_140
    | spl2_141 ),
    inference(sat_conversion,[],[f20541]) ).

cnf(s2040,plain,
    ( spl2_99
    | spl2_137
    | spl2_138 ),
    inference(sat_conversion,[],[f20542]) ).

cnf(s2041,plain,
    ( spl2_99
    | spl2_135
    | spl2_136 ),
    inference(sat_conversion,[],[f20543]) ).

cnf(s2042,plain,
    ( ~ spl2_25
    | spl2_33
    | ~ spl2_39
    | spl2_99
    | spl2_204 ),
    inference(sat_conversion,[],[f20544]) ).

cnf(s2043,plain,
    ( spl2_99
    | spl2_133
    | spl2_139 ),
    inference(sat_conversion,[],[f20545]) ).

cnf(s2049,plain,
    ( ~ spl2_41
    | ~ spl2_165
    | ~ spl2_188 ),
    inference(sat_conversion,[],[f20610]) ).

cnf(s2056,plain,
    ( ~ spl2_41
    | ~ spl2_171
    | ~ spl2_192 ),
    inference(sat_conversion,[],[f20666]) ).

cnf(s2067,plain,
    ( ~ spl2_54
    | ~ spl2_165
    | ~ spl2_170 ),
    inference(sat_conversion,[],[f20759]) ).

cnf(s2069,plain,
    ( ~ spl2_48
    | ~ spl2_165
    | ~ spl2_193 ),
    inference(sat_conversion,[],[f20772]) ).

cnf(s2083,plain,
    ( ~ spl2_87
    | ~ spl2_183
    | spl2_298 ),
    inference(sat_conversion,[],[f20863]) ).

cnf(s2085,plain,
    ( ~ spl2_54
    | ~ spl2_79
    | ~ spl2_87 ),
    inference(sat_conversion,[],[f20899]) ).

cnf(s2086,plain,
    ( ~ spl2_19
    | ~ spl2_188
    | spl2_296 ),
    inference(sat_conversion,[],[f20901]) ).

cnf(s2107,plain,
    ( spl2_190
    | ~ spl2_298
    | spl2_320 ),
    inference(sat_conversion,[],[f21096]) ).

cnf(s2113,plain,
    ( ~ spl2_84
    | ~ spl2_123
    | ~ spl2_139
    | ~ spl2_204 ),
    inference(sat_conversion,[],[f21177]) ).

cnf(s2114,plain,
    ( ~ spl2_139
    | spl2_193
    | ~ spl2_204 ),
    inference(sat_conversion,[],[f21178]) ).

cnf(s2117,plain,
    ( ~ spl2_33
    | ~ spl2_97
    | ~ spl2_170 ),
    inference(sat_conversion,[],[f21198]) ).

cnf(s2119,plain,
    ( ~ spl2_23
    | spl2_62
    | spl2_185
    | ~ spl2_298 ),
    inference(sat_conversion,[],[f21202]) ).

cnf(s2120,plain,
    ( ~ spl2_84
    | ~ spl2_87
    | ~ spl2_133 ),
    inference(sat_conversion,[],[f21239]) ).

cnf(s2123,plain,
    ( ~ spl2_7
    | spl2_19
    | ~ spl2_23
    | spl2_44 ),
    inference(sat_conversion,[],[f21244]) ).

cnf(s2124,plain,
    ( spl2_4
    | ~ spl2_5
    | spl2_17
    | ~ spl2_64 ),
    inference(sat_conversion,[],[f21245]) ).

cnf(s2125,plain,
    ( ~ spl2_25
    | ~ spl2_80
    | spl2_190
    | spl2_192
    | ~ spl2_298 ),
    inference(sat_conversion,[],[f21246]) ).

cnf(s2127,plain,
    ( ~ spl2_5
    | ~ spl2_7
    | spl2_17
    | spl2_19
    | ~ spl2_64 ),
    inference(sat_conversion,[],[f21248]) ).

cnf(s2129,plain,
    ( ~ spl2_80
    | spl2_81
    | spl2_192
    | ~ spl2_298 ),
    inference(sat_conversion,[],[f21250]) ).

cnf(s2130,plain,
    ( spl2_171
    | ~ spl2_298
    | spl2_314 ),
    inference(sat_conversion,[],[f21251]) ).

cnf(s2137,plain,
    ( ~ spl2_38
    | ~ spl2_41
    | ~ spl2_54 ),
    inference(sat_conversion,[],[f21276]) ).

cnf(s2154,plain,
    ( ~ spl2_77
    | ~ spl2_167
    | ~ spl2_296
    | spl2_302 ),
    inference(sat_conversion,[],[f21419]) ).

cnf(s2161,plain,
    ( ~ spl2_80
    | ~ spl2_217
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f21503]) ).

cnf(s2164,plain,
    ( spl2_193
    | ~ spl2_296
    | spl2_302 ),
    inference(sat_conversion,[],[f21506]) ).

cnf(s2165,plain,
    ( ~ spl2_25
    | ~ spl2_80
    | spl2_188
    | spl2_193
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f21507]) ).

cnf(s2169,plain,
    ( ~ spl2_23
    | spl2_62
    | spl2_77
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f21511]) ).

cnf(s2176,plain,
    ( ~ spl2_132
    | ~ spl2_170
    | ~ spl2_193 ),
    inference(sat_conversion,[],[f21582]) ).

cnf(s2184,plain,
    ( spl2_63
    | ~ spl2_121
    | ~ spl2_180 ),
    inference(sat_conversion,[],[f21626]) ).

cnf(s2193,plain,
    ( ~ spl2_138
    | spl2_190
    | spl2_259 ),
    inference(sat_conversion,[],[f21732]) ).

cnf(s2203,plain,
    ( ~ spl2_87
    | ~ spl2_97
    | ~ spl2_133 ),
    inference(sat_conversion,[],[f21811]) ).

cnf(s2206,plain,
    ( ~ spl2_138
    | ~ spl2_139
    | spl2_182
    | spl2_183 ),
    inference(sat_conversion,[],[f21814]) ).

cnf(s2207,plain,
    ( ~ spl2_119
    | ~ spl2_138
    | spl2_190
    | ~ spl2_191
    | spl2_192 ),
    inference(sat_conversion,[],[f21815]) ).

cnf(s2209,plain,
    ( ~ spl2_119
    | ~ spl2_138
    | spl2_192
    | spl2_217 ),
    inference(sat_conversion,[],[f21819]) ).

cnf(s2210,plain,
    ( ~ spl2_121
    | ~ spl2_136
    | spl2_296 ),
    inference(sat_conversion,[],[f21820]) ).

cnf(s2211,plain,
    ( ~ spl2_75
    | ~ spl2_138
    | spl2_162
    | spl2_185 ),
    inference(sat_conversion,[],[f21821]) ).

cnf(s2229,plain,
    ( spl2_125
    | spl2_126
    | ~ spl2_178 ),
    inference(sat_conversion,[],[f21976]) ).

cnf(s2230,plain,
    ( spl2_11
    | spl2_22
    | ~ spl2_178 ),
    inference(sat_conversion,[],[f21979]) ).

cnf(s2243,plain,
    ( spl2_16
    | ~ spl2_22
    | ~ spl2_23
    | spl2_62 ),
    inference(sat_conversion,[],[f22032]) ).

cnf(s2244,plain,
    ( spl2_11
    | ~ spl2_21
    | ~ spl2_178 ),
    inference(sat_conversion,[],[f22041]) ).

cnf(s2246,plain,
    ( ~ spl2_48
    | ~ spl2_149
    | ~ spl2_167 ),
    inference(sat_conversion,[],[f22051]) ).

cnf(s2247,plain,
    ( ~ spl2_21
    | spl2_97 ),
    inference(sat_conversion,[],[f22053]) ).

cnf(s2264,plain,
    ( spl2_31
    | ~ spl2_119
    | ~ spl2_139
    | spl2_217 ),
    inference(sat_conversion,[],[f22198]) ).

cnf(s2270,plain,
    ( ~ spl2_41
    | ~ spl2_77
    | ~ spl2_188 ),
    inference(sat_conversion,[],[f22247]) ).

cnf(s2272,plain,
    ( spl2_61
    | ~ spl2_75
    | ~ spl2_139
    | spl2_162 ),
    inference(sat_conversion,[],[f22249]) ).

cnf(s2276,plain,
    ( spl2_31
    | spl2_38
    | ~ spl2_119
    | ~ spl2_139
    | ~ spl2_191 ),
    inference(sat_conversion,[],[f22255]) ).

cnf(s2284,plain,
    ( spl2_75
    | spl2_164
    | spl2_165 ),
    inference(sat_conversion,[],[f22294]) ).

cnf(s2296,plain,
    ( spl2_98
    | spl2_169
    | spl2_180 ),
    inference(sat_conversion,[],[f22403]) ).

cnf(s2302,plain,
    ( ~ spl2_41
    | ~ spl2_165
    | ~ spl2_193 ),
    inference(sat_conversion,[],[f22453]) ).

cnf(s2306,plain,
    ( ~ spl2_69
    | spl2_248
    | spl2_249 ),
    inference(sat_conversion,[],[f22488]) ).

cnf(s2307,plain,
    ( spl2_38
    | ~ spl2_69
    | spl2_288 ),
    inference(sat_conversion,[],[f22490]) ).

cnf(s2308,plain,
    ( spl2_54
    | ~ spl2_69
    | spl2_253 ),
    inference(sat_conversion,[],[f22491]) ).

cnf(s2310,plain,
    ( spl2_165
    | ~ spl2_296
    | spl2_315 ),
    inference(sat_conversion,[],[f22549]) ).

cnf(s2313,plain,
    ( spl2_97
    | ~ spl2_296
    | spl2_317 ),
    inference(sat_conversion,[],[f22553]) ).

cnf(s2333,plain,
    ( ~ spl2_23
    | ~ spl2_64
    | spl2_185
    | ~ spl2_308 ),
    inference(sat_conversion,[],[f23037]) ).

cnf(s2335,plain,
    ( spl2_62
    | ~ spl2_64
    | ~ spl2_69
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f23110]) ).

cnf(s2336,plain,
    ( spl2_61
    | spl2_62
    | ~ spl2_64
    | ~ spl2_86 ),
    inference(sat_conversion,[],[f23112]) ).

cnf(s2339,plain,
    ( spl2_33
    | ~ spl2_69
    | spl2_258 ),
    inference(sat_conversion,[],[f23149]) ).

cnf(s2345,plain,
    ( ~ spl2_77
    | ~ spl2_81
    | spl2_97
    | spl2_98
    | ~ spl2_167 ),
    inference(sat_conversion,[],[f23294]) ).

cnf(s2346,plain,
    ( spl2_33
    | spl2_38
    | ~ spl2_81
    | spl2_99 ),
    inference(sat_conversion,[],[f23296]) ).

cnf(s2347,plain,
    ( ~ spl2_77
    | ~ spl2_81
    | ~ spl2_87
    | spl2_98
    | ~ spl2_133
    | ~ spl2_167 ),
    inference(sat_conversion,[],[f23297]) ).

cnf(s2350,plain,
    ( ~ spl2_80
    | spl2_81
    | spl2_188
    | ~ spl2_296 ),
    inference(sat_conversion,[],[f23301]) ).

cnf(s2353,plain,
    ( ~ spl2_29
    | ~ spl2_191
    | spl2_192
    | ~ spl2_293 ),
    inference(sat_conversion,[],[f23361]) ).

cnf(s2360,plain,
    ( ~ spl2_24
    | spl2_33
    | spl2_38 ),
    inference(sat_conversion,[],[f23554]) ).

cnf(s2361,plain,
    ( ~ spl2_24
    | ~ spl2_77
    | spl2_97
    | ~ spl2_167 ),
    inference(sat_conversion,[],[f23556]) ).

cnf(s2362,plain,
    ( ~ spl2_24
    | ~ spl2_77
    | ~ spl2_87
    | ~ spl2_133
    | ~ spl2_167 ),
    inference(sat_conversion,[],[f23561]) ).

cnf(s2365,plain,
    ( spl2_31
    | spl2_63
    | ~ spl2_300 ),
    inference(sat_conversion,[],[f23639]) ).

cnf(s2366,plain,
    ( spl2_192
    | spl2_298
    | ~ spl2_300 ),
    inference(sat_conversion,[],[f23642]) ).

cnf(s2377,plain,
    ( spl2_14
    | spl2_54
    | spl2_55
    | ~ spl2_95 ),
    inference(sat_conversion,[],[f23701]) ).

cnf(s2378,plain,
    ( ~ spl2_65
    | spl2_97
    | spl2_165 ),
    inference(sat_conversion,[],[f23725]) ).

cnf(s2379,plain,
    ( spl2_33
    | spl2_54
    | ~ spl2_65 ),
    inference(sat_conversion,[],[f23729]) ).

cnf(s2380,plain,
    ( ~ spl2_19
    | spl2_54
    | ~ spl2_65
    | ~ spl2_132 ),
    inference(sat_conversion,[],[f23731]) ).

cnf(s2381,plain,
    ( ~ spl2_65
    | ~ spl2_87
    | ~ spl2_133
    | spl2_165 ),
    inference(sat_conversion,[],[f23732]) ).

cnf(s2384,plain,
    ( ~ spl2_136
    | ~ spl2_170
    | spl2_176
    | spl2_179
    | spl2_185
    | ~ spl2_248 ),
    inference(sat_conversion,[],[f23794]) ).

cnf(s2385,plain,
    ( ~ spl2_133
    | ~ spl2_137
    | spl2_176
    | spl2_179
    | spl2_185
    | ~ spl2_248 ),
    inference(sat_conversion,[],[f23798]) ).

cnf(s2387,plain,
    ( ~ spl2_87
    | ~ spl2_121
    | spl2_176
    | spl2_179
    | spl2_185
    | ~ spl2_248 ),
    inference(sat_conversion,[],[f23800]) ).

cnf(s2388,plain,
    ( ~ spl2_133
    | ~ spl2_137
    | spl2_171
    | spl2_176
    | spl2_179
    | ~ spl2_249 ),
    inference(sat_conversion,[],[f23825]) ).

cnf(s2389,plain,
    ( ~ spl2_136
    | ~ spl2_170
    | spl2_171
    | spl2_176
    | spl2_179
    | ~ spl2_249 ),
    inference(sat_conversion,[],[f23826]) ).

cnf(s2391,plain,
    ( ~ spl2_36
    | ~ spl2_63
    | spl2_183
    | ~ spl2_314 ),
    inference(sat_conversion,[],[f23829]) ).

cnf(s2392,plain,
    ( ~ spl2_25
    | ~ spl2_80
    | spl2_188
    | ~ spl2_317 ),
    inference(sat_conversion,[],[f23831]) ).

cnf(s2395,plain,
    ( spl2_63
    | ~ spl2_84
    | ~ spl2_133 ),
    inference(sat_conversion,[],[f23834]) ).

cnf(s2396,plain,
    ( ~ spl2_16
    | ~ spl2_77
    | spl2_296 ),
    inference(sat_conversion,[],[f23835]) ).

cnf(s2397,plain,
    ( ~ spl2_25
    | spl2_81
    | ~ spl2_85
    | spl2_188 ),
    inference(sat_conversion,[],[f23836]) ).

cnf(s2400,plain,
    ( ~ spl2_87
    | ~ spl2_170
    | spl2_296 ),
    inference(sat_conversion,[],[f23843]) ).

cnf(s2402,plain,
    ( ~ spl2_33
    | ~ spl2_170
    | spl2_296 ),
    inference(sat_conversion,[],[f23845]) ).

cnf(s2406,plain,
    ( ~ spl2_29
    | ~ spl2_63
    | spl2_170
    | ~ spl2_302 ),
    inference(sat_conversion,[],[f23850]) ).

cnf(s2408,plain,
    ( ~ spl2_36
    | ~ spl2_63
    | spl2_170
    | ~ spl2_315 ),
    inference(sat_conversion,[],[f23852]) ).

cnf(s2409,plain,
    ( spl2_62
    | ~ spl2_64
    | spl2_77
    | ~ spl2_85 ),
    inference(sat_conversion,[],[f23853]) ).

cnf(s2412,plain,
    ( ~ spl2_64
    | spl2_90
    | spl2_91 ),
    inference(sat_conversion,[],[f23896]) ).

cnf(s2428,plain,
    ( spl2_177
    | ~ spl2_298
    | spl2_308 ),
    inference(sat_conversion,[],[f24060]) ).

cnf(s2430,plain,
    ( ~ spl2_167
    | ~ spl2_185
    | ~ spl2_298
    | spl2_320 ),
    inference(sat_conversion,[],[f24062]) ).

cnf(s2442,plain,
    ( ~ spl2_29
    | ~ spl2_39
    | spl2_188
    | ~ spl2_247 ),
    inference(sat_conversion,[],[f24327]) ).

cnf(s2445,plain,
    ( ~ spl2_165
    | spl2_81
    | ~ spl2_80
    | ~ spl2_79
    | ~ spl2_41 ),
    inference(rat,[],[s1749,s2350,s627,s2049]) ).

cnf(s2447,plain,
    ( spl2_296
    | spl2_63
    | ~ spl2_36
    | ~ spl2_69
    | ~ spl2_16
    | spl2_99 ),
    inference(rat,[],[s2043,s1113,s854,s2395,s2400,s2396,s1749,s1566]) ).

cnf(s2448,plain,
    ( ~ spl2_188
    | ~ spl2_36
    | spl2_61
    | ~ spl2_38
    | ~ spl2_31
    | ~ spl2_75
    | spl2_99 ),
    inference(rat,[],[s2272,s2043,s413,s488,s776]) ).

cnf(s2449,plain,
    ( ~ spl2_190
    | spl2_162
    | spl2_94
    | ~ spl2_63
    | ~ spl2_84
    | ~ spl2_132
    | ~ spl2_75
    | spl2_99
    | ~ spl2_167 ),
    inference(rat,[],[s1866,s2040,s2028,s2211,s583,s730]) ).

cnf(s2450,plain,
    ( ~ spl2_298
    | spl2_190
    | spl2_94
    | ~ spl2_63
    | ~ spl2_31
    | ~ spl2_80
    | ~ spl2_25 ),
    inference(rat,[],[s582,s2028,s2125]) ).

cnf(s2451,plain,
    ( spl2_162
    | spl2_94
    | ~ spl2_63
    | ~ spl2_84
    | ~ spl2_132
    | ~ spl2_31
    | ~ spl2_75
    | spl2_99
    | ~ spl2_80
    | ~ spl2_25
    | ~ spl2_14
    | ~ spl2_167 ),
    inference(rat,[],[s2040,s2211,s1866,s1974,s2450,s2449]) ).

cnf(s2452,plain,
    ( ~ spl2_190
    | spl2_94
    | ~ spl2_63
    | spl2_77
    | spl2_296
    | ~ spl2_36
    | ~ spl2_132
    | spl2_99
    | spl2_176
    | ~ spl2_41 ),
    inference(rat,[],[s2210,s2041,s1567,s1655,s2028,s742,s1695,s583,s952]) ).

cnf(s2453,plain,
    ( spl2_94
    | ~ spl2_63
    | spl2_77
    | spl2_296
    | ~ spl2_132
    | ~ spl2_31
    | ~ spl2_75
    | spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s382,s2041,s1695,s2210,s1794,s1567,s2450,s2452,s2451,s91,s25,s146,s37,s526,s1749]) ).

cnf(s2454,plain,
    ( ~ spl2_190
    | ~ spl2_57
    | spl2_179
    | spl2_77
    | ~ spl2_84
    | ~ spl2_36
    | ~ spl2_38
    | spl2_99
    | spl2_178
    | spl2_176
    | ~ spl2_41 ),
    inference(rat,[],[s2041,s1655,s1923,s742,s1695,s475,s583,s952,s265]) ).

cnf(s2455,plain,
    ( spl2_298
    | ~ spl2_120
    | ~ spl2_119
    | spl2_296
    | spl2_188
    | spl2_99 ),
    inference(rat,[],[s469,s1214,s2041,s2040,s2210,s1866,s1567,s1749]) ).

cnf(s2457,plain,
    ( ~ spl2_38
    | spl2_296
    | spl2_81
    | spl2_55
    | ~ spl2_16
    | spl2_99
    | spl2_178
    | ~ spl2_80
    | ~ spl2_14
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2391,s2130,s582,s2056,s2125,s2455,s460,s2454,s423,s1188,s1955,s464,s2120,s947,s179,s2448,s269,s2005,s2453,s1768,s1073,s2447,s2308,s37,s1600,s849,s2137,s661,s265,s25,s146,s339,s2445,s91,s1749,s1077,s2396]) ).

cnf(s2458,plain,
    ( spl2_298
    | ~ spl2_122
    | spl2_185
    | spl2_296
    | ~ spl2_75
    | spl2_99 ),
    inference(rat,[],[s382,s2211,s2041,s2040,s2210,s1866,s1567,s1749]) ).

cnf(s2459,plain,
    ( ~ spl2_298
    | ~ spl2_63
    | ~ spl2_31
    | spl2_94
    | spl2_81
    | ~ spl2_80 ),
    inference(rat,[],[s582,s2028,s2129]) ).

cnf(s2460,plain,
    ( spl2_298
    | spl2_296
    | ~ spl2_75
    | spl2_99
    | ~ spl2_14
    | spl2_176 ),
    inference(rat,[],[s1695,s2458,s1794,s1974,s91]) ).

cnf(s2462,plain,
    ( spl2_31
    | ~ spl2_36
    | spl2_38
    | spl2_296
    | ~ spl2_26
    | ~ spl2_16
    | spl2_99
    | ~ spl2_80
    | ~ spl2_25
    | ~ spl2_14 ),
    inference(rat,[],[s849,s2447,s503,s1772]) ).

cnf(s2463,plain,
    ( ~ spl2_36
    | ~ spl2_314
    | ~ spl2_192
    | spl2_38
    | spl2_296
    | ~ spl2_26
    | ~ spl2_16
    | spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | ~ spl2_41 ),
    inference(rat,[],[s2447,s2391,s849,s582,s579,s2462,s25,s146]) ).

cnf(s2464,plain,
    ( ~ spl2_54
    | spl2_202
    | spl2_99
    | ~ spl2_25
    | ~ spl2_79
    | ~ spl2_41 ),
    inference(rat,[],[s34,s2037,s526,s2085]) ).

cnf(s2465,plain,
    ( spl2_296
    | spl2_24
    | spl2_55
    | ~ spl2_16
    | spl2_99
    | spl2_178
    | ~ spl2_80
    | ~ spl2_14
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2130,s2463,s2056,s2129,s2460,s2457,s11,s339,s2445,s162,s37,s2464,s686,s25,s146,s91]) ).

cnf(s2466,plain,
    ( ~ spl2_31
    | ~ spl2_188
    | ~ spl2_36
    | ~ spl2_75
    | spl2_99
    | ~ spl2_41 ),
    inference(rat,[],[s2272,s2043,s413,s488,s930,s579]) ).

cnf(s2467,plain,
    ( spl2_298
    | spl2_179
    | ~ spl2_133
    | ~ spl2_69
    | ~ spl2_87
    | spl2_77
    | ~ spl2_36
    | ~ spl2_75
    | spl2_99
    | ~ spl2_14
    | spl2_176 ),
    inference(rat,[],[s413,s2211,s2389,s2040,s2041,s2388,s1655,s2306,s742,s1695,s2387,s2083,s1794,s1974,s1567,s91]) ).

cnf(s2468,plain,
    ( spl2_24
    | spl2_55
    | ~ spl2_16
    | spl2_99
    | spl2_178
    | ~ spl2_80
    | ~ spl2_14
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1740,s2040,s2130,s477,s2056,s2129,s2467,s423,s1291,s2005,s1073,s2308,s849,s2037,s503,s34,s1197,s2466,s1077,s2270,s2350,s2465,s37,s1600,s2464,s339,s2445,s11,s162,s686,s91,s25,s146]) ).

cnf(s2470,plain,
    ( ~ spl2_192
    | ~ spl2_63
    | ~ spl2_31
    | ~ spl2_36
    | ~ spl2_298
    | ~ spl2_41 ),
    inference(rat,[],[s2391,s2130,s582,s2056]) ).

cnf(s2471,plain,
    ( ~ spl2_31
    | ~ spl2_36
    | ~ spl2_298
    | ~ spl2_75
    | spl2_296
    | ~ spl2_24
    | ~ spl2_16
    | spl2_99
    | ~ spl2_80
    | ~ spl2_25
    | ~ spl2_41 ),
    inference(rat,[],[s1703,s2360,s2040,s265,s983,s583,s2391,s2130,s952,s2125,s991,s2470,s464,s947,s2005,s1073,s2447,s2308,s849,s526,s579,s1077,s2396]) ).

cnf(s2472,plain,
    ( ~ spl2_69
    | spl2_31
    | ~ spl2_36
    | ~ spl2_298
    | ~ spl2_75
    | spl2_296
    | ~ spl2_16
    | spl2_99
    | ~ spl2_80
    | ~ spl2_25
    | spl2_176
    | ~ spl2_41 ),
    inference(rat,[],[s2040,s2211,s983,s525,s2005,s2125,s1113,s413,s2452,s2402,s265,s2028,s1733,s1772,s854,s2447,s2396,s1766,s1928]) ).

cnf(s2473,plain,
    ( ~ spl2_36
    | spl2_296
    | ~ spl2_24
    | ~ spl2_16
    | spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1772,s661,s2024,s849,s2472,s2471,s25,s146,s2460,s339,s627,s1749,s91]) ).

cnf(s2474,plain,
    ( ~ spl2_54
    | ~ spl2_24
    | ~ spl2_14
    | ~ spl2_41 ),
    inference(rat,[],[s2360,s856,s2137]) ).

cnf(s2475,plain,
    ( ~ spl2_31
    | ~ spl2_75
    | ~ spl2_296
    | spl2_54
    | spl2_99
    | ~ spl2_80
    | ~ spl2_25
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1073,s2043,s1077,s947,s724,s2308,s2165,s849,s2466,s579,s37]) ).

cnf(s2476,plain,
    ( ~ spl2_170
    | ~ spl2_38
    | ~ spl2_296
    | ~ spl2_80
    | ~ spl2_25 ),
    inference(rat,[],[s2165,s2176,s776,s265]) ).

cnf(s2477,plain,
    ( spl2_170
    | spl2_298
    | spl2_61
    | spl2_72
    | spl2_94
    | ~ spl2_75
    | ~ spl2_296
    | ~ spl2_36
    | ~ spl2_24
    | spl2_99
    | ~ spl2_14
    | spl2_176
    | ~ spl2_167 ),
    inference(rat,[],[s423,s2467,s1291,s2362,s2005,s1566,s2272,s2012,s413,s849]) ).

cnf(s2478,plain,
    ( spl2_298
    | ~ spl2_253
    | spl2_61
    | spl2_72
    | spl2_31
    | ~ spl2_75
    | ~ spl2_296
    | ~ spl2_36
    | ~ spl2_24
    | spl2_99
    | ~ spl2_80
    | ~ spl2_25
    | ~ spl2_14
    | spl2_176
    | ~ spl2_167 ),
    inference(rat,[],[s423,s2467,s1291,s2005,s1073,s1077,s2361,s1566,s2117,s1772,s2360,s2476,s2477,s1928,s849]) ).

cnf(s2479,plain,
    ( ~ spl2_192
    | ~ spl2_188
    | spl2_162
    | ~ spl2_75
    | spl2_99
    | ~ spl2_41 ),
    inference(rat,[],[s2040,s2211,s477,s525]) ).

cnf(s2480,plain,
    ( ~ spl2_38
    | ~ spl2_298
    | spl2_61
    | ~ spl2_75
    | ~ spl2_296
    | ~ spl2_36
    | spl2_99
    | ~ spl2_80
    | ~ spl2_25
    | ~ spl2_41 ),
    inference(rat,[],[s2041,s918,s1369,s2125,s2479,s2165,s514,s2005,s2272,s413,s2476,s1742]) ).

cnf(s2481,plain,
    ( ~ spl2_192
    | ~ spl2_188
    | ~ spl2_298
    | ~ spl2_75
    | ~ spl2_296
    | spl2_99
    | ~ spl2_41 ),
    inference(rat,[],[s1740,s2040,s2130,s477,s2056]) ).

cnf(s2482,plain,
    ( ~ spl2_188
    | ~ spl2_298
    | ~ spl2_75
    | ~ spl2_296
    | spl2_99
    | ~ spl2_80
    | ~ spl2_25
    | ~ spl2_41 ),
    inference(rat,[],[s2041,s918,s1369,s2125,s2481,s1742]) ).

cnf(s2483,plain,
    ( spl2_61
    | spl2_72
    | ~ spl2_75
    | ~ spl2_296
    | ~ spl2_24
    | spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1113,s2043,s2117,s2203,s2313,s2442,s2392,s2482,s1566,s1772,s2360,s32,s2480,s2478,s2308,s849,s37,s34,s2475,s2474,s25,s146]) ).

cnf(s2484,plain,
    ( ~ spl2_75
    | ~ spl2_296
    | spl2_282
    | ~ spl2_24
    | spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1772,s661,s2024,s2483,s1197,s2475,s25,s146,s2474]) ).

cnf(s2485,plain,
    ( ~ spl2_165
    | spl2_98
    | ~ spl2_80
    | ~ spl2_14
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2445,s1393,s2069,s91]) ).

cnf(s2486,plain,
    ( ~ spl2_31
    | ~ spl2_192
    | spl2_54
    | ~ spl2_277
    | ~ spl2_298
    | ~ spl2_84
    | ~ spl2_75
    | spl2_99
    | ~ spl2_41 ),
    inference(rat,[],[s1073,s2043,s2308,s2395,s849,s2470,s579,s37]) ).

cnf(s2487,plain,
    ( spl2_24
    | ~ spl2_298
    | spl2_296
    | ~ spl2_75
    | spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | ~ spl2_41 ),
    inference(rat,[],[s1113,s854,s2043,s2400,s849,s2395,s2037,s503,s1768,s34,s2486,s37,s2129,s2464,s11,s162,s686,s91,s25,s146,s1749,s1077,s1785]) ).

cnf(s2488,plain,
    ( ~ spl2_31
    | spl2_296
    | ~ spl2_75
    | spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2307,s265,s1776,s2453,s2395,s2005,s1073,s2308,s291,s849,s579,s1749,s1077,s1785,s284,s2473,s37,s2474,s2487,s2460,s102]) ).

cnf(s2489,plain,
    ( spl2_61
    | spl2_59
    | ~ spl2_64
    | spl2_54
    | ~ spl2_277
    | ~ spl2_84
    | spl2_165 ),
    inference(rat,[],[s2378,s873,s751,s2336,s1733,s126,s2395,s2005,s1073,s2308,s849,s339]) ).

cnf(s2490,plain,
    ( spl2_296
    | spl2_165
    | spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1772,s661,s2024,s2489,s1766,s2488,s284,s2473,s37,s2474,s2487,s1077,s2460,s1785,s1749,s25,s146,s339,s102]) ).

cnf(s2491,plain,
    ( spl2_24
    | spl2_165
    | spl2_99
    | spl2_178
    | spl2_98
    | ~ spl2_80
    | ~ spl2_14
    | spl2_11
    | spl2_176
    | spl2_164
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2005,s1277,s1073,s1255,s2308,s2409,s849,s2037,s1077,s284,s503,s34,s2270,s2468,s2475,s2350,s86,s2464,s11,s162,s686,s91,s25,s8,s146,s339,s1586,s2490,s102]) ).

cnf(s2492,plain,
    ( ~ spl2_14
    | spl2_11
    | spl2_9
    | ~ spl2_41
    | spl2_5 ),
    inference(rat,[],[s1600,s2484,s2474,s83,s2491,s2490,s339,s2485,s214,s443,s539,s115,s24,s25,s19,s146,s1157,s570,s2246,s592,s60]) ).

cnf(s2493,plain,
    ( spl2_298
    | spl2_162
    | ~ spl2_119
    | spl2_188
    | ~ spl2_75
    | spl2_99
    | spl2_296
    | ~ spl2_167 ),
    inference(rat,[],[s730,s2211,s460,s2040,s2455,s1866,s1749]) ).

cnf(s2494,plain,
    ( ~ spl2_16
    | ~ spl2_31
    | spl2_81
    | ~ spl2_75
    | spl2_99
    | spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2470,s2129,s2493,s413,s464,s2402,s947,s2379,s2005,s873,s1073,s1816,s1077,s2447,s2396,s2308,s849,s579,s2466,s37,s526]) ).

cnf(s2495,plain,
    ( ~ spl2_31
    | spl2_81
    | ~ spl2_75
    | spl2_99
    | spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2272,s413,s2043,s2400,s2395,s1566,s1893,s284,s2494,s2308,s37,s849,s526,s579,s1749,s102]) ).

cnf(s2496,plain,
    ( spl2_298
    | ~ spl2_87
    | spl2_63
    | spl2_99
    | spl2_296 ),
    inference(rat,[],[s758,s2206,s397,s2041,s2040,s2184,s2210,s2083,s1866,s1567,s2043,s2395,s1749]) ).

cnf(s2497,plain,
    ( spl2_24
    | ~ spl2_75
    | spl2_178
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s32,s2442,s661,s2479,s2272,s382,s2041,s1267,s1255,s2119,s1695,s525,s2056,s2129,s2496,s1113,s2043,s2400,s2395,s2037,s1768,s34,s2495,s162,s686,s1749]) ).

cnf(s2498,plain,
    ( ~ spl2_16
    | ~ spl2_31
    | ~ spl2_24
    | ~ spl2_75
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2493,s413,s464,s2402,s947,s2379,s2005,s873,s1073,s1816,s1077,s2447,s2471,s2396,s2308,s849,s579,s2466,s37,s526]) ).

cnf(s2499,plain,
    ( ~ spl2_31
    | ~ spl2_24
    | ~ spl2_75
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2272,s413,s2043,s2400,s2395,s1566,s1893,s284,s2498,s2308,s37,s849,s526,s579,s1749,s102]) ).

cnf(s2500,plain,
    ( ~ spl2_16
    | spl2_95
    | ~ spl2_36
    | ~ spl2_69
    | ~ spl2_39
    | spl2_99
    | spl2_296
    | ~ spl2_48 ),
    inference(rat,[],[s1777,s2447,s59]) ).

cnf(s2501,plain,
    ( spl2_63
    | ~ spl2_36
    | spl2_61
    | ~ spl2_75
    | spl2_99
    | spl2_296 ),
    inference(rat,[],[s2272,s413,s2043,s2400,s2395,s1566,s1749]) ).

cnf(s2502,plain,
    ( ~ spl2_36
    | spl2_61
    | spl2_31
    | spl2_55
    | ~ spl2_75
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | spl2_14
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s284,s1893,s2500,s2308,s2377,s2137,s1772,s2501,s110,s34,s849,s102]) ).

cnf(s2503,plain,
    ( ~ spl2_192
    | ~ spl2_162
    | ~ spl2_298
    | spl2_178
    | spl2_99
    | ~ spl2_84
    | ~ spl2_23
    | spl2_176
    | ~ spl2_41 ),
    inference(rat,[],[s1267,s2041,s1255,s382,s2119,s1695,s525,s2056]) ).

cnf(s2504,plain,
    ( spl2_61
    | spl2_55
    | ~ spl2_75
    | spl2_178
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | spl2_14
    | spl2_176
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s382,s2041,s1695,s918,s952,s2125,s2503,s2442,s2272,s1113,s2043,s2496,s2395,s1566,s2402,s1772,s2360,s32,s2137,s1829,s2502,s1749,s34,s2499,s2497,s110,s592]) ).

cnf(s2505,plain,
    ( spl2_162
    | ~ spl2_188
    | ~ spl2_193
    | ~ spl2_298
    | ~ spl2_75
    | spl2_99
    | ~ spl2_25
    | ~ spl2_80
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2040,s2211,s478,s730,s2125,s2479]) ).

cnf(s2506,plain,
    ( ~ spl2_75
    | spl2_19
    | spl2_178
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | spl2_14
    | spl2_11
    | spl2_176
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s382,s2041,s1695,s918,s952,s2125,s2503,s2505,s2442,s464,s1113,s2264,s2043,s2496,s1057,s2395,s1566,s2402,s1772,s2360,s32,s661,s2504,s34,s2499,s83,s2497,s592,s110,s1749]) ).

cnf(s2507,plain,
    ( spl2_298
    | ~ spl2_33
    | ~ spl2_69
    | ~ spl2_31
    | ~ spl2_119
    | spl2_188
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_167 ),
    inference(rat,[],[s991,s1703,s582,s1375,s730,s2041,s460,s2040,s2210,s2455,s1866,s1567,s1749,s1487,s2402]) ).

cnf(s2508,plain,
    ( ~ spl2_63
    | spl2_81
    | ~ spl2_31
    | ~ spl2_119
    | spl2_188
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2129,s2470,s2507,s2379,s873,s1816,s849,s579,s37,s526]) ).

cnf(s2509,plain,
    ( spl2_81
    | ~ spl2_31
    | ~ spl2_119
    | spl2_188
    | spl2_178
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1267,s2041,s1255,s1375,s2119,s582,s525,s2056,s2129,s1487,s2496,s2400,s1566,s2508,s1749,s849,s579]) ).

cnf(s2510,plain,
    ( ~ spl2_63
    | ~ spl2_31
    | ~ spl2_119
    | spl2_188
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2040,s1703,s983,s2391,s2130,s952,s2005,s991,s2125,s1113,s2470,s854,s2507,s2402,s2396,s2379,s284,s873,s1893,s1816,s37,s2308,s849,s579,s526,s102]) ).

cnf(s2511,plain,
    ( spl2_192
    | ~ spl2_97
    | ~ spl2_294
    | ~ spl2_298
    | ~ spl2_69
    | spl2_54
    | ~ spl2_119
    | spl2_178
    | spl2_99
    | ~ spl2_25
    | ~ spl2_84
    | ~ spl2_80
    | ~ spl2_23
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1375,s1703,s2041,s2040,s2379,s1267,s1269,s873,s1255,s2119,s730,s952,s991,s2125]) ).

cnf(s2512,plain,
    ( ~ spl2_31
    | ~ spl2_119
    | spl2_188
    | spl2_178
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1267,s2041,s1255,s1375,s2119,s582,s525,s2056,s2511,s2361,s854,s1113,s1487,s2043,s2496,s2400,s2395,s1566,s2510,s162,s2509,s37,s849,s526,s579,s1749]) ).

cnf(s2513,plain,
    ( ~ spl2_63
    | ~ spl2_69
    | spl2_31
    | spl2_19
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | spl2_14
    | spl2_11
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2500,s284,s2377,s1893,s83,s2308,s37,s162,s2137,s1768,s1772,s110,s34,s102]) ).

cnf(s2514,plain,
    ( ~ spl2_192
    | ~ spl2_132
    | ~ spl2_217
    | ~ spl2_294
    | ~ spl2_298
    | ~ spl2_69
    | spl2_178
    | spl2_99
    | ~ spl2_84
    | ~ spl2_23
    | spl2_176
    | ~ spl2_41 ),
    inference(rat,[],[s460,s583,s707,s1375,s2041,s1267,s1255,s2119,s525,s2056]) ).

cnf(s2515,plain,
    ( ~ spl2_69
    | spl2_31
    | ~ spl2_119
    | ~ spl2_191
    | spl2_19
    | ~ spl2_47
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | spl2_14
    | spl2_11
    | spl2_176
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2345,s2511,s2129,s2514,s854,s37,s2137,s265,s2264,s2276,s1113,s1487,s2043,s2496,s2400,s2395,s1566,s2513,s592,s110,s1749,s539,s443]) ).

cnf(s2516,plain,
    ( spl2_19
    | ~ spl2_47
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | spl2_14
    | spl2_11
    | spl2_9
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2043,s2276,s1229,s661,s849,s2515,s2512,s464,s520,s2069,s2049,s2284,s2506,s1157,s570,s2246,s592,s110,s443]) ).

cnf(s2517,plain,
    ( ~ spl2_63
    | spl2_31
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_80 ),
    inference(rat,[],[s1119,s265,s1733,s1772,s1766]) ).

cnf(s2518,plain,
    ( ~ spl2_47
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | spl2_14
    | spl2_11
    | spl2_9
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2043,s2276,s2395,s63,s2517,s2512,s464,s1765,s520,s593,s2086,s2516,s443,s570,s2246,s592,s110,s1749]) ).

cnf(s2519,plain,
    ( ~ spl2_16
    | spl2_47
    | ~ spl2_48 ),
    inference(rat,[],[s24,s752,s59,s592]) ).

cnf(s2520,plain,
    ( ~ spl2_31
    | ~ spl2_64
    | spl2_47
    | ~ spl2_23
    | ~ spl2_41 ),
    inference(rat,[],[s24,s44,s46,s1893,s2308,s849,s526,s579]) ).

cnf(s2521,plain,
    ( ~ spl2_63
    | spl2_31
    | spl2_99
    | ~ spl2_25
    | spl2_296
    | ~ spl2_80
    | spl2_14
    | spl2_11
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s849,s2513,s661,s2517,s1772,s592]) ).

cnf(s2522,plain,
    ( spl2_178
    | ~ spl2_217
    | ~ spl2_77
    | spl2_54
    | ~ spl2_132
    | ~ spl2_69
    | ~ spl2_294
    | ~ spl2_298
    | spl2_99
    | ~ spl2_25
    | ~ spl2_84
    | ~ spl2_80
    | ~ spl2_23
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2361,s162,s2511,s2129,s2514,s464,s724]) ).

cnf(s2523,plain,
    ( ~ spl2_178
    | ~ spl2_13
    | ~ spl2_23
    | spl2_11 ),
    inference(rat,[],[s10,s2244,s2230]) ).

cnf(s2524,plain,
    ( spl2_54
    | ~ spl2_69
    | ~ spl2_247
    | ~ spl2_294
    | ~ spl2_139
    | ~ spl2_298
    | spl2_31
    | ~ spl2_25
    | spl2_99
    | ~ spl2_84
    | ~ spl2_80
    | spl2_178
    | ~ spl2_23
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2522,s265,s2264,s32,s464,s2442,s724,s2270,s854,s37,s34]) ).

cnf(s2525,plain,
    ( ~ spl2_188
    | spl2_47
    | spl2_296 ),
    inference(rat,[],[s24,s1569,s2086]) ).

cnf(s2526,plain,
    ( ~ spl2_25
    | spl2_99
    | spl2_296
    | ~ spl2_80
    | spl2_14
    | spl2_11
    | spl2_9
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2524,s849,s2137,s661,s32,s2442,s2525,s1113,s1487,s2043,s2496,s2400,s2395,s1566,s2521,s34,s2520,s284,s2519,s2518,s570,s2246,s592,s2523,s6,s110,s1749,s102]) ).

cnf(s2527,plain,
    ( ~ spl2_31
    | ~ spl2_64
    | ~ spl2_17
    | ~ spl2_23
    | ~ spl2_41 ),
    inference(rat,[],[s1893,s2308,s849,s46,s526,s579]) ).

cnf(s2528,plain,
    ( ~ spl2_69
    | spl2_288
    | spl2_253
    | ~ spl2_41 ),
    inference(rat,[],[s2137,s2307,s2308]) ).

cnf(s2530,plain,
    ( ~ spl2_298
    | spl2_62
    | ~ spl2_61
    | ~ spl2_63
    | ~ spl2_23
    | ~ spl2_167 ),
    inference(rat,[],[s2006,s1648,s2430,s2119,s32,s661]) ).

cnf(s2531,plain,
    ( ~ spl2_63
    | ~ spl2_64
    | ~ spl2_17
    | spl2_99
    | spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1254,s1648,s1703,s1373,s2041,s2040,s2353,s2210,s1866,s1778,s1567,s2530,s873,s2378,s339,s751,s1229,s2005,s1113,s2402,s2442,s2346,s32,s661,s849,s2528,s1776,s1893,s1768,s1749,s520,s1569,s34,s2527]) ).

cnf(s2532,plain,
    ( ~ spl2_177
    | ~ spl2_97
    | spl2_192
    | ~ spl2_119
    | ~ spl2_191
    | ~ spl2_17
    | spl2_99 ),
    inference(rat,[],[s2040,s2207,s736,s1341]) ).

cnf(s2533,plain,
    ( spl2_99
    | spl2_296
    | ~ spl2_80
    | spl2_14
    | spl2_11
    | spl2_9
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2207,s2040,s730,s1523,s2333,s2428,s2532,s2361,s162,s2129,s2514,s2264,s464,s724,s2284,s854,s2501,s37,s849,s2137,s661,s265,s32,s2442,s1113,s1487,s2043,s2496,s2400,s2395,s1566,s2531,s34,s2527,s284,s520,s59,s1569,s25,s2526,s1157,s570,s2246,s592,s2523,s6,s110,s1749,s102]) ).

cnf(s2534,plain,
    ( ~ spl2_99
    | ~ spl2_80
    | ~ spl2_23
    | spl2_11
    | ~ spl2_48 ),
    inference(rat,[],[s214,s25,s2519,s59,s890,s1136,s212]) ).

cnf(s2535,plain,
    ( ~ spl2_165
    | ~ spl2_25
    | ~ spl2_296
    | ~ spl2_80
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2165,s2069,s2049]) ).

cnf(s2536,plain,
    ( ~ spl2_31
    | ~ spl2_75
    | ~ spl2_25
    | ~ spl2_296
    | spl2_99
    | ~ spl2_80
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2475,s526]) ).

cnf(s2537,plain,
    ( ~ spl2_63
    | spl2_31
    | ~ spl2_25
    | ~ spl2_296
    | ~ spl2_80 ),
    inference(rat,[],[s2476,s2012,s1772,s1928]) ).

cnf(s2539,plain,
    ( spl2_188
    | ~ spl2_170
    | spl2_38
    | ~ spl2_25
    | ~ spl2_296
    | spl2_99
    | ~ spl2_80 ),
    inference(rat,[],[s2117,s2346,s2313,s2350,s2392]) ).

cnf(s2540,plain,
    ( spl2_77
    | ~ spl2_253
    | ~ spl2_87
    | spl2_165
    | ~ spl2_296
    | ~ spl2_23 ),
    inference(rat,[],[s2381,s2005,s873,s1073,s2169,s1077,s339]) ).

cnf(s2541,plain,
    ( ~ spl2_77
    | ~ spl2_25
    | ~ spl2_296
    | ~ spl2_80
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2165,s724,s2270]) ).

cnf(s2542,plain,
    ( spl2_188
    | spl2_38
    | ~ spl2_139
    | ~ spl2_39
    | ~ spl2_25
    | ~ spl2_296
    | spl2_99
    | ~ spl2_80 ),
    inference(rat,[],[s1113,s2539,s2442,s32]) ).

cnf(s2543,plain,
    ( ~ spl2_69
    | ~ spl2_139
    | ~ spl2_97
    | spl2_253
    | spl2_77
    | ~ spl2_87
    | ~ spl2_39
    | ~ spl2_75
    | ~ spl2_25
    | ~ spl2_296
    | spl2_99
    | ~ spl2_80
    | ~ spl2_41 ),
    inference(rat,[],[s2040,s2206,s1976,s2083,s2482,s2542,s2137,s2308,s760]) ).

cnf(s2544,plain,
    ( ~ spl2_25
    | ~ spl2_296
    | spl2_99
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2041,s758,s918,s2206,s2193,s397,s2040,s990,s2184,s1976,s2083,s1567,s2482,s2542,s32,s661,s849,s2543,s2043,s2381,s2378,s873,s2540,s2169,s2541,s1566,s2537,s34,s2536,s339,s2535,s592]) ).

cnf(s2545,plain,
    ( ~ spl2_170
    | ~ spl2_33
    | ~ spl2_61
    | ~ spl2_64
    | ~ spl2_296
    | ~ spl2_23 ),
    inference(rat,[],[s1714,s2117,s1063]) ).

cnf(s2546,plain,
    ( spl2_302
    | ~ spl2_64
    | ~ spl2_17
    | ~ spl2_296
    | ~ spl2_23
    | ~ spl2_167 ),
    inference(rat,[],[s1714,s784,s2154,s2164]) ).

cnf(s2547,plain,
    ( ~ spl2_63
    | ~ spl2_302
    | spl2_31
    | ~ spl2_64
    | ~ spl2_296
    | spl2_99
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2545,s2406,s2346,s32,s661,s849,s2528,s1768,s1776,s1893]) ).

cnf(s2548,plain,
    ( ~ spl2_170
    | ~ spl2_38
    | ~ spl2_87
    | spl2_98
    | spl2_31
    | ~ spl2_64
    | ~ spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_167 ),
    inference(rat,[],[s1714,s2347,s2203,s2005,s2264,s464,s2350,s2176,s776,s2161,s265]) ).

cnf(s2549,plain,
    ( spl2_165
    | ~ spl2_81
    | spl2_162
    | ~ spl2_253
    | spl2_61
    | ~ spl2_87
    | spl2_98
    | ~ spl2_296
    | ~ spl2_23
    | ~ spl2_167 ),
    inference(rat,[],[s2005,s2347,s2272,s2540,s339]) ).

cnf(s2550,plain,
    ( ~ spl2_81
    | spl2_162
    | ~ spl2_253
    | spl2_61
    | ~ spl2_87
    | spl2_98
    | spl2_31
    | ~ spl2_64
    | spl2_217
    | ~ spl2_296
    | ~ spl2_23
    | ~ spl2_48 ),
    inference(rat,[],[s1714,s2347,s2203,s2005,s2264,s464,s2069,s2549,s592]) ).

cnf(s2551,plain,
    ( ~ spl2_38
    | ~ spl2_87
    | spl2_98
    | spl2_31
    | ~ spl2_64
    | ~ spl2_296
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2540,s2049,s2270,s2350,s2550,s413,s2548,s2308,s37,s849,s2137,s661,s592,s2161]) ).

cnf(s2552,plain,
    ( ~ spl2_81
    | ~ spl2_170
    | spl2_38
    | ~ spl2_64
    | ~ spl2_296
    | spl2_99
    | ~ spl2_23
    | ~ spl2_167 ),
    inference(rat,[],[s2361,s1714,s2117,s2346,s162]) ).

cnf(s2553,plain,
    ( ~ spl2_188
    | ~ spl2_64
    | ~ spl2_155
    | ~ spl2_296
    | ~ spl2_23
    | ~ spl2_41 ),
    inference(rat,[],[s1714,s793,s2270]) ).

cnf(s2554,plain,
    ( ~ spl2_80
    | spl2_14
    | spl2_11
    | spl2_9
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s1714,s2347,s2203,s2005,s1113,s2552,s2442,s2350,s2553,s32,s2551,s1566,s2547,s547,s2015,s2546,s34,s2527,s284,s59,s689,s25,s2544,s2533,s2534,s592,s110,s102]) ).

cnf(s2555,plain,
    ( ~ spl2_38
    | spl2_253
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2308,s849,s2137,s661]) ).

cnf(s2556,plain,
    ( ~ spl2_31
    | spl2_253
    | ~ spl2_41 ),
    inference(rat,[],[s2308,s849,s526,s579]) ).

cnf(s2557,plain,
    ( ~ spl2_69
    | spl2_97
    | spl2_98
    | ~ spl2_133
    | spl2_253
    | ~ spl2_86
    | ~ spl2_64
    | spl2_164 ),
    inference(rat,[],[s1559,s586,s1255,s2308,s2335]) ).

cnf(s2558,plain,
    ( ~ spl2_33
    | spl2_98
    | ~ spl2_133
    | ~ spl2_29
    | ~ spl2_63
    | spl2_99
    | spl2_296
    | ~ spl2_19
    | ~ spl2_23
    | spl2_164
    | ~ spl2_167 ),
    inference(rat,[],[s2040,s1922,s1866,s1899,s2530,s1255,s1559,s1229,s849,s2557,s1057,s751,s2402,s1749,s464,s1765,s593,s126,s1893,s284,s752,s102]) ).

cnf(s2559,plain,
    ( spl2_298
    | spl2_99
    | spl2_188
    | spl2_296
    | ~ spl2_123 ),
    inference(rat,[],[s460,s1200,s2455,s1567,s464,s1765]) ).

cnf(s2561,plain,
    ( ~ spl2_192
    | ~ spl2_155
    | ~ spl2_298
    | ~ spl2_64
    | ~ spl2_23
    | ~ spl2_41 ),
    inference(rat,[],[s2428,s2333,s718,s525]) ).

cnf(s2562,plain,
    ( ~ spl2_63
    | spl2_99
    | spl2_296
    | ~ spl2_19
    | ~ spl2_23
    | spl2_164
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s1648,s2333,s1780,s2428,s2532,s2561,s1559,s1255,s2530,s689,s25,s1229,s2037,s1812,s686,s1733,s2360,s141,s2558,s548,s2120,s1291,s2005,s2276,s1196,s34,s2556,s32,s2555,s1893,s284,s752,s1749,s520,s464,s1765,s2559,s2086,s593,s102]) ).

cnf(s2563,plain,
    ( spl2_99
    | spl2_296
    | ~ spl2_19
    | ~ spl2_23
    | spl2_164
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2043,s2276,s2395,s63,s44,s2562,s1749,s520,s2086,s464,s1765,s593]) ).

cnf(s2564,plain,
    ( ~ spl2_99
    | spl2_16
    | ~ spl2_23
    | spl2_11 ),
    inference(rat,[],[s2243,s1136,s219]) ).

cnf(s2565,plain,
    ( ~ spl2_25
    | ~ spl2_63
    | ~ spl2_296
    | spl2_99
    | ~ spl2_19
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2381,s2005,s2037,s2114,s686,s2042,s2360,s709,s2117,s873,s1714,s2169,s2049,s2270,s2397,s2552,s2012,s1928,s1586,s2555,s34,s2556,s1893,s284,s752,s102]) ).

cnf(s2567,plain,
    ( spl2_298
    | ~ spl2_119
    | ~ spl2_97
    | ~ spl2_191
    | spl2_99
    | ~ spl2_19 ),
    inference(rat,[],[s2207,s2040,s1200,s1899,s1976,s1567,s593]) ).

cnf(s2568,plain,
    ( ~ spl2_97
    | ~ spl2_191
    | ~ spl2_170
    | ~ spl2_17
    | ~ spl2_63
    | spl2_99
    | ~ spl2_64
    | ~ spl2_19
    | ~ spl2_23
    | ~ spl2_41 ),
    inference(rat,[],[s1648,s2333,s1780,s2428,s2532,s2561,s2567,s1812,s1733,s141,s464,s2117,s784,s689]) ).

cnf(s2569,plain,
    ( ~ spl2_63
    | ~ spl2_296
    | spl2_99
    | ~ spl2_19
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s849,s2308,s1063,s1481,s1714,s2568,s520,s2406,s2553,s2546,s689,s25,s2565,s32,s2555,s1893,s284,s752,s102]) ).

cnf(s2570,plain,
    ( spl2_188
    | ~ spl2_25
    | ~ spl2_39
    | spl2_38
    | ~ spl2_87
    | ~ spl2_296
    | spl2_99
    | ~ spl2_64
    | ~ spl2_23
    | ~ spl2_167 ),
    inference(rat,[],[s1714,s2362,s2203,s2005,s1113,s2552,s162,s2397,s2442,s1586,s32]) ).

cnf(s2571,plain,
    ( ~ spl2_25
    | ~ spl2_296
    | spl2_99
    | ~ spl2_19
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2117,s2042,s1057,s2114,s2264,s2043,s464,s2203,s709,s1714,s2270,s2570,s284,s752,s1566,s34,s44,s32,s63,s2569,s102]) ).

cnf(s2572,plain,
    ( spl2_298
    | ~ spl2_249
    | ~ spl2_119
    | ~ spl2_77
    | spl2_179
    | ~ spl2_133
    | ~ spl2_191
    | ~ spl2_29
    | ~ spl2_87
    | spl2_99
    | ~ spl2_19
    | spl2_176 ),
    inference(rat,[],[s1021,s2388,s2041,s2040,s1373,s2207,s2353,s1200,s1899,s2083,s1567,s593]) ).

cnf(s2573,plain,
    ( ~ spl2_298
    | spl2_62
    | ~ spl2_77
    | spl2_188
    | ~ spl2_155
    | spl2_99
    | ~ spl2_64
    | ~ spl2_23
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s687,s460,s2041,s730,s1453,s1310,s2119,s2561,s724]) ).

cnf(s2574,plain,
    ( spl2_298
    | ~ spl2_119
    | ~ spl2_77
    | spl2_179
    | ~ spl2_133
    | ~ spl2_191
    | ~ spl2_29
    | ~ spl2_87
    | spl2_99
    | ~ spl2_19
    | spl2_176 ),
    inference(rat,[],[s1453,s2041,s2387,s1373,s2306,s2353,s2572,s1899,s2083,s1567,s849,s552,s1067]) ).

cnf(s2575,plain,
    ( ~ spl2_136
    | ~ spl2_170
    | ~ spl2_69
    | ~ spl2_77
    | spl2_179
    | spl2_176 ),
    inference(rat,[],[s2306,s2389,s2384,s1021,s1453]) ).

cnf(s2576,plain,
    ( ~ spl2_135
    | ~ spl2_218
    | ~ spl2_298
    | spl2_193
    | spl2_97
    | spl2_188
    | ~ spl2_17
    | ~ spl2_296
    | spl2_178 ),
    inference(rat,[],[s1341,s1315,s460,s1713,s687]) ).

cnf(s2577,plain,
    ( ~ spl2_133
    | ~ spl2_296
    | spl2_99
    | ~ spl2_19
    | spl2_178
    | ~ spl2_23
    | spl2_176
    | ~ spl2_41
    | ~ spl2_167 ),
    inference(rat,[],[s2306,s2385,s2388,s2040,s2207,s1274,s1021,s1453,s2041,s2576,s1255,s1310,s2573,s2561,s2574,s849,s552,s464,s1067,s724,s1714,s423,s2203,s1291,s1566,s1196,s44,s32,s63,s2569,s520,s2553,s689,s25,s2571,s284,s752,s102]) ).

cnf(s2578,plain,
    ( spl2_11
    | spl2_9
    | ~ spl2_41
    | spl2_5 ),
    inference(rat,[],[s1714,s784,s724,s464,s2276,s2043,s2577,s520,s2553,s689,s25,s2571,s63,s44,s2569,s2563,s2564,s284,s752,s115,s2554,s2523,s6,s110,s2492,s1157,s570,s2246,s592,s60,s102]) ).

cnf(s2579,plain,
    ( ~ spl2_14
    | ~ spl2_11 ),
    inference(rat,[],[s615,s91]) ).

cnf(s2580,plain,
    ( ~ spl2_16
    | ~ spl2_80
    | spl2_296
    | ~ spl2_11
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2378,s873,s584,s859,s155,s616,s25,s2396,s59,s1163,s5,s110,s2579]) ).

cnf(s2581,plain,
    ( spl2_296
    | ~ spl2_11
    | spl2_164
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2395,s2005,s2531,s1108,s25,s2345,s155,s149,s501,s613,s2556,s2555,s888,s284,s2580,s115,s2563,s1749,s592,s532,s197,s587,s2247,s1163,s5,s110,s2579,s102]) ).

cnf(s2582,plain,
    ( ~ spl2_80
    | ~ spl2_296
    | ~ spl2_23
    | spl2_99
    | spl2_98
    | spl2_97
    | ~ spl2_41
    | ~ spl2_48 ),
    inference(rat,[],[s2350,s2345,s2553,s1714,s284,s59,s689,s25,s2544,s592,s102]) ).

cnf(s2583,plain,
    ( spl2_9
    | ~ spl2_41
    | spl2_5 ),
    inference(rat,[],[s25,s2571,s1205,s115,s2582,s2581,s110,s2579,s197,s532,s587,s2247,s5,s614,s1163,s2578,s1157,s2246,s592,s60]) ).

cnf(s2584,plain,
    ( ~ spl2_10
    | ~ spl2_41 ),
    inference(rat,[],[s25,s146,s124,s115,s136,s106,s138,s143]) ).

cnf(s2585,plain,
    ( spl2_296
    | spl2_99
    | ~ spl2_23
    | spl2_63
    | spl2_178
    | spl2_176
    | spl2_81
    | ~ spl2_39
    | ~ spl2_80
    | ~ spl2_29
    | ~ spl2_41 ),
    inference(rat,[],[s339,s2479,s2049,s2442,s1113,s2503,s2043,s2129,s2395,s2496,s2400,s1749,s1566]) ).

cnf(s2586,plain,
    ( ~ spl2_41
    | spl2_5 ),
    inference(rat,[],[s689,s25,s793,s2350,s2544,s2582,s2585,s2534,s110,s148,s5,s1768,s149,s548,s434,s574,s172,s1196,s34,s115,s32,s221,s159,s113,s114,s152,s268,s4,s2584,s2583,s60]) ).

cnf(s2587,plain,
    ( ~ spl2_38
    | spl2_55
    | spl2_99
    | ~ spl2_75
    | ~ spl2_188
    | spl2_296
    | spl2_19
    | spl2_5 ),
    inference(rat,[],[s34,s1773,s2448,s2501,s1470,s37,s908,s661,s265,s592,s60,s2586]) ).

cnf(s2589,plain,
    ( spl2_63
    | spl2_55
    | spl2_99
    | spl2_296
    | ~ spl2_14 ),
    inference(rat,[],[s1829,s2085,s2501,s2024,s1566,s339,s627,s1749,s91]) ).

cnf(s2590,plain,
    ( spl2_55
    | ~ spl2_188
    | spl2_296
    | ~ spl2_14
    | spl2_5 ),
    inference(rat,[],[s2040,s2206,s477,s582,s2129,s2346,s856,s2308,s760,s1073,s849,s2043,s552,s488,s727,s1772,s2589,s2587,s60,s1077,s1785,s2460,s576,s214,s25,s1569,s2579,s115,s19,s2525,s339,s627,s1749,s91]) ).

cnf(s2591,plain,
    ( spl2_296
    | ~ spl2_14
    | ~ spl2_6
    | spl2_5 ),
    inference(rat,[],[s162,s83,s86,s2590,s8,s1569,s1552,s1785,s2579,s115,s19]) ).

cnf(s2592,plain,
    ( ~ spl2_63
    | spl2_94
    | spl2_54
    | spl2_61
    | ~ spl2_64
    | ~ spl2_97
    | ~ spl2_296 ),
    inference(rat,[],[s2379,s873,s2117,s2336,s2012,s126]) ).

cnf(s2593,plain,
    ( spl2_63
    | ~ spl2_17
    | ~ spl2_300 ),
    inference(rat,[],[s46,s2365]) ).

cnf(s2594,plain,
    ( ~ spl2_38
    | ~ spl2_63
    | spl2_16
    | ~ spl2_97
    | ~ spl2_296
    | ~ spl2_48 ),
    inference(rat,[],[s2592,s291,s908,s661,s265,s592,s284,s102]) ).

cnf(s2595,plain,
    ( spl2_188
    | spl2_99
    | ~ spl2_296
    | ~ spl2_80
    | ~ spl2_300
    | ~ spl2_6
    | ~ spl2_48 ),
    inference(rat,[],[s2117,s2406,s2346,s32,s2594,s2593,s307,s25,s346,s2165,s2361,s2154,s724,s162,s1552,s2350,s592]) ).

cnf(s2596,plain,
    ( spl2_298
    | spl2_182
    | ~ spl2_97
    | ~ spl2_139
    | ~ spl2_31
    | spl2_99
    | ~ spl2_300 ),
    inference(rat,[],[s2206,s582,s2040,s2366,s1976]) ).

cnf(s2597,plain,
    ( ~ spl2_16
    | ~ spl2_63
    | spl2_9
    | ~ spl2_188
    | spl2_99
    | ~ spl2_296
    | ~ spl2_80
    | ~ spl2_300
    | ~ spl2_14
    | ~ spl2_48 ),
    inference(rat,[],[s2040,s2206,s477,s582,s2129,s2596,s2346,s265,s856,s908,s1829,s854,s760,s346,s1791,s334,s1113,s849,s2012,s2043,s552,s930,s488,s727,s2537,s25,s80,s59,s307]) ).

cnf(s2599,plain,
    ( ~ spl2_38
    | spl2_16
    | ~ spl2_63
    | ~ spl2_188
    | ~ spl2_296
    | ~ spl2_167 ),
    inference(rat,[],[s2012,s291,s776,s661]) ).

cnf(s2600,plain,
    ( ~ spl2_63
    | spl2_9
    | spl2_99
    | ~ spl2_14
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s1255,s2409,s1559,s1067,s1229,s552,s2005,s849,s1818,s2307,s2599,s547,s2000,s1779,s2313,s793,s689,s1776,s2023,s284,s2597,s2579,s1586,s2595,s2591,s115,s19,s1994,s3,s57,s2586,s1157,s2246,s592,s60,s102]) ).

cnf(s2601,plain,
    ( spl2_298
    | spl2_63
    | ~ spl2_188
    | spl2_99
    | ~ spl2_79
    | ~ spl2_300 ),
    inference(rat,[],[s2040,s1911,s477,s838,s1794,s2366,s2083,s37,s2085,s1566,s2043,s488,s2365]) ).

cnf(s2602,plain,
    ( spl2_63
    | spl2_99
    | ~ spl2_14
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s418,s2428,s1911,s1750,s2040,s838,s477,s582,s2129,s2601,s132,s2345,s346,s854,s307,s1113,s284,s539,s2043,s37,s2023,s24,s25,s930,s488,s849,s2085,s2593,s2365,s2024,s1566,s592,s91,s2579,s2595,s2591,s115,s19,s1994,s3,s57,s2586,s60,s102]) ).

cnf(s2603,plain,
    ( ~ spl2_8
    | ~ spl2_80
    | ~ spl2_14
    | ~ spl2_48 ),
    inference(rat,[],[s172,s149,s221,s148,s114,s152]) ).

cnf(s2604,plain,
    ( spl2_99
    | ~ spl2_14
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s2600,s2602,s4,s2603,s115,s19,s60,s145,s2586]) ).

cnf(s2605,plain,
    ( ~ spl2_14
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s214,s24,s25,s784,s2313,s2164,s2000,s2015,s219,s2604,s2591,s115,s2579,s19,s3,s57,s2586]) ).

cnf(s2606,plain,
    ( ~ spl2_38
    | spl2_253
    | ~ spl2_48 ),
    inference(rat,[],[s2308,s849,s908,s661,s265,s592]) ).

cnf(s2608,plain,
    ( spl2_17
    | ~ spl2_63
    | ~ spl2_80
    | ~ spl2_23
    | ~ spl2_7
    | ~ spl2_48 ),
    inference(rat,[],[s727,s1772,s552,s661,s1816,s25,s726,s592]) ).

cnf(s2609,plain,
    ( ~ spl2_63
    | ~ spl2_81
    | ~ spl2_80
    | spl2_99
    | spl2_296
    | ~ spl2_23
    | ~ spl2_6
    | ~ spl2_7
    | ~ spl2_48 ),
    inference(rat,[],[s2264,s1057,s2043,s1118,s2402,s995,s2346,s32,s2606,s464,s1893,s2361,s724,s284,s1552,s59,s689,s1569,s2608,s592,s162,s102]) ).

cnf(s2610,plain,
    ( spl2_188
    | ~ spl2_139
    | spl2_63
    | spl2_296
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s908,s1821,s265,s1725,s2276,s34,s46,s2023,s284,s464,s2396,s724,s1552,s520,s592,s60,s3,s57,s2586,s102]) ).

cnf(s2611,plain,
    ( ~ spl2_80
    | spl2_99
    | spl2_296
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s2206,s760,s2040,s849,s477,s582,s552,s2365,s2125,s1716,s2396,s1722,s730,s284,s2119,s2023,s25,s726,s1569,s2610,s2043,s2496,s2395,s1566,s2609,s1428,s592,s60,s3,s57,s2586,s110,s2605,s1749,s102]) ).

cnf(s2612,plain,
    ( ~ spl2_31
    | ~ spl2_63
    | ~ spl2_155
    | ~ spl2_64
    | ~ spl2_23
    | ~ spl2_48 ),
    inference(rat,[],[s1812,s1733,s552,s1118,s727]) ).

cnf(s2613,plain,
    ( ~ spl2_63
    | ~ spl2_155
    | spl2_164
    | ~ spl2_77
    | ~ spl2_19
    | spl2_99
    | spl2_296
    | ~ spl2_23
    | ~ spl2_48 ),
    inference(rat,[],[s1733,s2558,s1812,s548,s552,s1067,s1291,s2005,s1196,s2276,s2612,s32,s2606,s1893,s284,s752,s592,s520,s2086,s464,s1765,s593,s102]) ).

cnf(s2614,plain,
    ( spl2_99
    | spl2_296
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s2043,s2610,s2395,s2613,s689,s1157,s2023,s1552,s4,s284,s2086,s113,s752,s115,s2611,s2246,s592,s60,s145,s3,s57,s2586,s110,s2605,s1749,s102]) ).

cnf(s2615,plain,
    ( ~ spl2_11
    | ~ spl2_99 ),
    inference(rat,[],[s587,s197,s2247,s5,s1163]) ).

cnf(s2616,plain,
    ( ~ spl2_99
    | ~ spl2_23
    | ~ spl2_48 ),
    inference(rat,[],[s752,s115,s2564,s2534,s2615,s592]) ).

cnf(s2617,plain,
    ( ~ spl2_63
    | ~ spl2_81
    | ~ spl2_80
    | ~ spl2_296
    | ~ spl2_23
    | ~ spl2_7
    | ~ spl2_48 ),
    inference(rat,[],[s2406,s2552,s32,s2606,s1893,s2546,s284,s59,s2608,s592,s2616,s102]) ).

cnf(s2618,plain,
    ( ~ spl2_16
    | ~ spl2_24
    | ~ spl2_296
    | ~ spl2_23
    | ~ spl2_7
    | ~ spl2_48 ),
    inference(rat,[],[s2361,s345,s2169,s2123,s726,s752,s59,s592,s102]) ).

cnf(s2619,plain,
    ( ~ spl2_77
    | spl2_31
    | ~ spl2_87
    | ~ spl2_24
    | spl2_217
    | spl2_99
    | ~ spl2_167 ),
    inference(rat,[],[s2264,s2043,s464,s2362,s724]) ).

cnf(s2620,plain,
    ( ~ spl2_80
    | spl2_5
    | spl2_4 ),
    inference(rat,[],[s1079,s1714,s2619,s46,s689,s2023,s284,s2618,s1566,s2617,s162,s2161,s1428,s592,s3,s57,s2586,s2614,s2616,s110,s2605,s60,s102]) ).

cnf(s2621,plain,
    ( spl2_77
    | ~ spl2_155
    | ~ spl2_64
    | ~ spl2_296
    | ~ spl2_23
    | ~ spl2_6 ),
    inference(rat,[],[s1079,s1714]) ).

cnf(s2622,plain,
    ( ~ spl2_63
    | ~ spl2_77
    | ~ spl2_302
    | ~ spl2_64
    | ~ spl2_23
    | ~ spl2_48 ),
    inference(rat,[],[s2308,s849,s1481,s1063,s2406,s32,s2606,s1893]) ).

cnf(s2623,plain,
    ( ~ spl2_135
    | ~ spl2_298
    | spl2_97
    | spl2_188
    | spl2_193
    | spl2_178
    | ~ spl2_17
    | ~ spl2_296 ),
    inference(rat,[],[s718,s1310,s1315,s2576,s1713,s689]) ).

cnf(s2624,plain,
    ( spl2_188
    | spl2_38
    | spl2_31
    | ~ spl2_87
    | spl2_193
    | spl2_178
    | spl2_176
    | ~ spl2_17
    | ~ spl2_64
    | ~ spl2_19
    | ~ spl2_296
    | spl2_99
    | ~ spl2_23
    | ~ spl2_6 ),
    inference(rat,[],[s2428,s718,s2333,s1387,s1453,s2041,s2623,s2574,s423,s2203,s1291,s2005,s2276,s520,s2621,s689,s464,s32,s1196]) ).

cnf(s2625,plain,
    ( spl2_298
    | ~ spl2_135
    | ~ spl2_119
    | ~ spl2_77
    | ~ spl2_19
    | spl2_99
    | ~ spl2_6 ),
    inference(rat,[],[s2209,s707,s2040,s460,s1392,s1200,s1899,s1567,s593]) ).

cnf(s2626,plain,
    ( ~ spl2_135
    | spl2_97
    | ~ spl2_119
    | ~ spl2_77
    | spl2_178
    | ~ spl2_155
    | ~ spl2_19
    | ~ spl2_296
    | spl2_99
    | ~ spl2_6 ),
    inference(rat,[],[s1919,s2040,s2107,s1392,s588,s718,s1315,s1713,s2625]) ).

cnf(s2627,plain,
    ( spl2_5
    | spl2_4 ),
    inference(rat,[],[s2428,s718,s1899,s2333,s1387,s1453,s2041,s2626,s793,s2624,s63,s44,s1566,s2622,s464,s724,s2621,s2523,s614,s1205,s689,s570,s2546,s2023,s4,s284,s113,s752,s115,s2620,s2614,s2616,s6,s110,s2605,s3,s57,s145,s2586,s2246,s592,s60,s102]) ).

cnf(s2630,plain,
    ( ~ spl2_192
    | spl2_182
    | ~ spl2_31
    | spl2_99
    | ~ spl2_188 ),
    inference(rat,[],[s2040,s2206,s477,s582,s2043,s488]) ).

cnf(s2631,plain,
    ( spl2_192
    | ~ spl2_167
    | ~ spl2_298
    | ~ spl2_25
    | ~ spl2_80
    | ~ spl2_6 ),
    inference(rat,[],[s730,s2125,s1387]) ).

cnf(s2632,plain,
    ( ~ spl2_31
    | ~ spl2_63
    | ~ spl2_192
    | ~ spl2_167
    | ~ spl2_298
    | spl2_99
    | ~ spl2_188
    | spl2_77 ),
    inference(rat,[],[s2006,s2107,s32,s918,s661,s2041,s849,s1616,s760,s397,s2630,s582,s1328,s930,s1641]) ).

cnf(s2633,plain,
    ( ~ spl2_63
    | ~ spl2_167
    | ~ spl2_298
    | spl2_99
    | ~ spl2_25
    | ~ spl2_80
    | spl2_77
    | spl2_4 ),
    inference(rat,[],[s849,s661,s1299,s1772,s2632,s1552,s2631,s2,s2627]) ).

cnf(s2634,plain,
    ( spl2_63
    | spl2_99
    | spl2_296
    | ~ spl2_14 ),
    inference(rat,[],[s37,s2085,s2501,s2024,s1566,s339,s627,s1749,s91]) ).

cnf(s2635,plain,
    ( ~ spl2_41
    | ~ spl2_16
    | ~ spl2_188
    | spl2_296
    | ~ spl2_14 ),
    inference(rat,[],[s656,s2042,s849,s34,s2472,s2466,s37,s2474,s2487,s2460,s339,s627,s1749,s91,s576,s307,s1770,s2634,s214,s25,s1569,s2579,s115,s2525,s2086]) ).

cnf(s2636,plain,
    ( ~ spl2_69
    | spl2_253
    | ~ spl2_31
    | ~ spl2_63
    | ~ spl2_89
    | ~ spl2_298
    | spl2_99
    | spl2_77
    | ~ spl2_14
    | ~ spl2_6 ),
    inference(rat,[],[s2428,s1780,s1865,s681,s141,s1387,s856,s2630,s2308,s760,s1552]) ).

cnf(s2637,plain,
    ( spl2_192
    | ~ spl2_61
    | ~ spl2_63
    | ~ spl2_89
    | ~ spl2_298
    | ~ spl2_6 ),
    inference(rat,[],[s2428,s1780,s681,s1650,s1387,s141,s656]) ).

cnf(s2638,plain,
    ( ~ spl2_31
    | ~ spl2_63
    | ~ spl2_89
    | ~ spl2_298
    | spl2_99
    | spl2_77
    | ~ spl2_84
    | ~ spl2_14
    | ~ spl2_6 ),
    inference(rat,[],[s1923,s2041,s2428,s1616,s1780,s397,s582,s1328,s2637,s141,s656,s849,s2636,s1073,s2043,s930,s488,s1552,s1077,s339,s627,s91,s1641]) ).

cnf(s2639,plain,
    ( spl2_296
    | ~ spl2_14
    | spl2_4 ),
    inference(rat,[],[s856,s1820,s2042,s1767,s34,s2638,s57,s2635,s1770,s2634,s307,s2460,s284,s576,s214,s2124,s25,s115,s2525,s1569,s2086,s339,s1552,s627,s1785,s1749,s2,s2627,s91,s2579,s102]) ).

cnf(s2640,plain,
    ( spl2_298
    | ~ spl2_97
    | spl2_176
    | ~ spl2_188
    | spl2_99
    | ~ spl2_14
    | ~ spl2_5 ),
    inference(rat,[],[s2041,s918,s382,s2211,s2193,s1695,s2040,s1002,s1794,s1976,s1974,s91,s339,s378]) ).

cnf(s2641,plain,
    ( ~ spl2_63
    | spl2_17
    | spl2_77
    | ~ spl2_80
    | spl2_99
    | ~ spl2_14
    | spl2_4 ),
    inference(rat,[],[s418,s2130,s2428,s1740,s1780,s2040,s582,s477,s2637,s849,s2636,s2640,s141,s856,s1820,s1073,s1811,s339,s378,s1791,s88,s575,s334,s1597,s2012,s2043,s930,s488,s2537,s2579,s2639,s1552,s2,s1077,s25,s307,s284,s2124,s2627,s102]) ).

cnf(s2642,plain,
    ( spl2_63
    | ~ spl2_188
    | spl2_77
    | spl2_99
    | ~ spl2_300
    | ~ spl2_14 ),
    inference(rat,[],[s1113,s854,s2043,s37,s930,s488,s849,s2085,s2365,s2024,s1566,s91]) ).

cnf(s2643,plain,
    ( ~ spl2_31
    | ~ spl2_317
    | ~ spl2_155
    | ~ spl2_63
    | ~ spl2_188 ),
    inference(rat,[],[s141,s2017,s1118,s930]) ).

cnf(s2644,plain,
    ( spl2_77
    | ~ spl2_80
    | spl2_99
    | ~ spl2_14
    | spl2_4 ),
    inference(rat,[],[s2017,s776,s141,s2360,s856,s162,s1820,s1768,s1767,s2643,s2313,s1079,s18,s689,s2641,s2642,s1552,s1994,s2,s2627,s2639]) ).

cnf(s2645,plain,
    ( ~ spl2_63
    | ~ spl2_188
    | ~ spl2_76
    | ~ spl2_25
    | ~ spl2_80
    | spl2_99
    | ~ spl2_296 ),
    inference(rat,[],[s334,s2012,s2043,s930,s488,s2537]) ).

cnf(s2646,plain,
    ( ~ spl2_192
    | ~ spl2_36
    | ~ spl2_298
    | ~ spl2_31
    | ~ spl2_188
    | ~ spl2_76
    | spl2_99
    | ~ spl2_296
    | ~ spl2_14 ),
    inference(rat,[],[s418,s2428,s1911,s1750,s838,s2040,s582,s477,s2043,s488]) ).

cnf(s2647,plain,
    ( spl2_17
    | ~ spl2_80
    | spl2_99
    | ~ spl2_14
    | spl2_4 ),
    inference(rat,[],[s2041,s1453,s1369,s1387,s2646,s37,s1742,s2085,s2601,s2365,s1566,s2645,s2392,s2313,s132,s346,s307,s284,s2124,s25,s1994,s2,s2627,s91,s2639,s2644,s102]) ).

cnf(s2648,plain,
    ( spl2_298
    | ~ spl2_17
    | ~ spl2_300 ),
    inference(rat,[],[s2366,s1778]) ).

cnf(s2649,plain,
    ( ~ spl2_31
    | spl2_178
    | spl2_176
    | spl2_97
    | ~ spl2_81
    | spl2_188
    | ~ spl2_298
    | ~ spl2_63
    | ~ spl2_17
    | ~ spl2_77
    | spl2_99
    | ~ spl2_296 ),
    inference(rat,[],[s423,s66,s2575,s1217,s2041,s2623,s849,s2176,s1063,s265,s2017,s2346,s141,s1118,s269,s689,s1783,s2313]) ).

cnf(s2650,plain,
    ( spl2_188
    | ~ spl2_298
    | ~ spl2_63
    | ~ spl2_17
    | ~ spl2_77
    | ~ spl2_80
    | spl2_99
    | ~ spl2_296
    | ~ spl2_14
    | ~ spl2_5 ),
    inference(rat,[],[s2017,s141,s1481,s856,s1820,s1767,s2649,s2230,s575,s2000,s2313,s346,s307,s885,s2350,s2579,s18]) ).

cnf(s2651,plain,
    ( ~ spl2_80
    | spl2_99
    | ~ spl2_14
    | spl2_4 ),
    inference(rat,[],[s2017,s141,s1481,s856,s1820,s1767,s2643,s2313,s793,s2650,s2648,s2593,s18,s689,s2647,s2644,s1994,s2,s2627,s2639]) ).

cnf(s2652,plain,
    ( spl2_298
    | ~ spl2_19
    | ~ spl2_300 ),
    inference(rat,[],[s1899,s2366]) ).

cnf(s2653,plain,
    ( spl2_192
    | ~ spl2_77
    | spl2_292
    | spl2_99
    | ~ spl2_6 ),
    inference(rat,[],[s2041,s1453,s1369,s1387]) ).

cnf(s2654,plain,
    ( ~ spl2_31
    | ~ spl2_63
    | ~ spl2_193
    | ~ spl2_192
    | ~ spl2_76
    | ~ spl2_298
    | spl2_99 ),
    inference(rat,[],[s334,s2043,s2028,s947,s582]) ).

cnf(s2655,plain,
    ( ~ spl2_63
    | ~ spl2_193
    | ~ spl2_76
    | ~ spl2_77
    | ~ spl2_25
    | ~ spl2_298
    | spl2_99
    | ~ spl2_296
    | spl2_4 ),
    inference(rat,[],[s1063,s2012,s849,s1928,s1299,s2654,s2653,s1742,s2,s2627]) ).

cnf(s2656,plain,
    ( spl2_63
    | ~ spl2_19
    | ~ spl2_300 ),
    inference(rat,[],[s44,s2365]) ).

cnf(s2657,plain,
    ( spl2_188
    | spl2_17
    | ~ spl2_63
    | ~ spl2_298
    | ~ spl2_19
    | spl2_99
    | ~ spl2_296
    | spl2_4 ),
    inference(rat,[],[s588,s2107,s2428,s1916,s1750,s464,s2040,s2655,s1474,s132,s162,s2653,s346,s2397,s1552,s2,s1586,s307,s284,s2124,s2627,s1742,s25,s102]) ).

cnf(s2658,plain,
    ( ~ spl2_31
    | spl2_77
    | ~ spl2_188
    | ~ spl2_89
    | ~ spl2_63
    | ~ spl2_298
    | spl2_99
    | ~ spl2_296
    | ~ spl2_14
    | ~ spl2_6 ),
    inference(rat,[],[s418,s2130,s2428,s1740,s1780,s2040,s582,s477,s2637,s141,s849,s856,s2636,s1820,s1073,s1811,s339,s378,s1791,s88,s334,s1597,s2012,s2043,s930,s488,s2579,s1077]) ).

cnf(s2659,plain,
    ( spl2_31
    | ~ spl2_188
    | ~ spl2_89
    | ~ spl2_25
    | ~ spl2_63
    | spl2_41
    | ~ spl2_296
    | spl2_4 ),
    inference(rat,[],[s2360,s11,s776,s656,s513,s2012,s849,s1928,s1299,s2627,s102]) ).

cnf(s2660,plain,
    ( spl2_17
    | spl2_99
    | ~ spl2_14
    | spl2_4 ),
    inference(rat,[],[s132,s334,s346,s2012,s2043,s2658,s930,s488,s2659,s2657,s307,s284,s2124,s25,s2639,s865,s91,s2652,s2656,s115,s2651,s1994,s2,s2627,s102]) ).

cnf(s2662,plain,
    ( spl2_97
    | spl2_179
    | spl2_178
    | spl2_176
    | ~ spl2_31
    | ~ spl2_77
    | spl2_188
    | ~ spl2_17
    | ~ spl2_63
    | ~ spl2_298
    | spl2_99
    | ~ spl2_296 ),
    inference(rat,[],[s2041,s2575,s2623,s849,s947,s1063,s2005,s2017,s1711,s2313,s132,s141,s1733,s1118,s689]) ).

cnf(s2663,plain,
    ( ~ spl2_170
    | ~ spl2_97
    | ~ spl2_77
    | ~ spl2_63
    | ~ spl2_296 ),
    inference(rat,[],[s291,s2592,s1481,s1063,s284,s307,s346,s102]) ).

cnf(s2664,plain,
    ( ~ spl2_31
    | spl2_188
    | ~ spl2_17
    | ~ spl2_19
    | spl2_99
    | ~ spl2_296
    | ~ spl2_14
    | ~ spl2_6 ),
    inference(rat,[],[s1911,s412,s2040,s997,s2532,s1392,s1479,s188,s37,s179,s2408,s2012,s2663,s464,s2310,s784,s378,s2662,s423,s434,s574,s1188,s1601,s1955,s1118,s1887,s269,s57,s865,s91,s2652,s2656,s1994,s689,s520,s1552]) ).

cnf(s2665,plain,
    ( spl2_192
    | ~ spl2_54
    | ~ spl2_97
    | spl2_179
    | spl2_178
    | ~ spl2_57
    | ~ spl2_77
    | ~ spl2_191
    | ~ spl2_17
    | ~ spl2_7
    | spl2_99
    | ~ spl2_6 ),
    inference(rat,[],[s1911,s412,s2040,s997,s2532,s1392,s464,s784]) ).

cnf(s2666,plain,
    ( spl2_188
    | spl2_99
    | ~ spl2_14
    | spl2_4 ),
    inference(rat,[],[s1269,s2412,s2040,s1466,s1919,s1648,s2107,s1780,s412,s475,s2428,s718,s2665,s141,s1821,s284,s1119,s1725,s464,s307,s265,s784,s346,s32,s1791,s421,s2442,s2230,s88,s575,s334,s1709,s1113,s1597,s179,s2043,s2012,s1067,s701,s1063,s552,s849,s1299,s34,s2664,s1552,s520,s2579,s2639,s57,s865,s91,s2652,s2656,s115,s2651,s1994,s2,s2627,s689,s2660,s102]) ).

cnf(s2667,plain,
    ( spl2_192
    | spl2_77
    | ~ spl2_61
    | spl2_98
    | spl2_97
    | ~ spl2_63
    | ~ spl2_298
    | spl2_164
    | ~ spl2_85
    | ~ spl2_6 ),
    inference(rat,[],[s1559,s1229,s1255,s2005,s2409,s334,s284,s2028,s307,s1650,s2637,s132,s102]) ).

cnf(s2668,plain,
    ( ~ spl2_192
    | ~ spl2_188
    | ~ spl2_155
    | ~ spl2_298
    | spl2_99
    | ~ spl2_296 ),
    inference(rat,[],[s1750,s2428,s2040,s718,s477,s132,s793]) ).

cnf(s2669,plain,
    ( spl2_99
    | ~ spl2_14
    | spl2_4 ),
    inference(rat,[],[s2043,s334,s1067,s2028,s2667,s1650,s2668,s552,s849,s1299,s547,s2643,s2000,s2313,s132,s793,s2666,s689,s2660,s2656,s2652,s1148,s30,s626,s57,s593,s865,s115,s2651,s1994,s2,s2627,s2579,s289,s91,s1586,s2639]) ).

cnf(s2670,plain,
    ( ~ spl2_14
    | spl2_4 ),
    inference(rat,[],[s2272,s2024,s413,s1915,s2005,s37,s2310,s339,s751,s2117,s856,s378,s1129,s2313,s2000,s219,s2669,s2639,s2579]) ).

cnf(s2671,plain,
    ( ~ spl2_31
    | ~ spl2_135
    | ~ spl2_192
    | ~ spl2_188
    | spl2_99 ),
    inference(rat,[],[s758,s397,s2630,s1328]) ).

cnf(s2672,plain,
    ( spl2_31
    | spl2_204
    | spl2_17
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s656,s849,s2042,s1299,s34,s25,s307,s284,s2124,s2627,s102]) ).

cnf(s2673,plain,
    ( spl2_298
    | ~ spl2_31
    | ~ spl2_188
    | ~ spl2_300
    | spl2_296
    | spl2_99 ),
    inference(rat,[],[s2041,s2671,s2210,s2366,s1567]) ).

cnf(s2674,plain,
    ( ~ spl2_63
    | spl2_17
    | spl2_296
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s1073,s339,s2556,s2049,s1425,s592,s2633,s2673,s2043,s488,s2672,s1770,s110,s2670,s25,s1722,s1077,s115,s2086,s1552,s2396,s284,s2124,s2,s2627,s102]) ).

cnf(s2675,plain,
    ( spl2_17
    | spl2_296
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s1425,s592,s526,s2631,s37,s2630,s2447,s760,s849,s552,s2496,s1716,s2365,s1566,s2674,s115,s2086,s1552,s2396,s1722,s284,s2124,s25,s2,s2627,s110,s2670,s102]) ).

cnf(s2676,plain,
    ( ~ spl2_80
    | ~ spl2_63
    | ~ spl2_64
    | spl2_81
    | ~ spl2_17
    | ~ spl2_23 ),
    inference(rat,[],[s2527,s1428,s1768]) ).

cnf(s2677,plain,
    ( spl2_192
    | ~ spl2_61
    | ~ spl2_77
    | spl2_99
    | ~ spl2_6 ),
    inference(rat,[],[s758,s397,s2041,s2206,s2040,s1683,s1453,s1650,s1392,s1387,s2043,s1067,s552]) ).

cnf(s2678,plain,
    ( ~ spl2_31
    | ~ spl2_63
    | spl2_296
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s2428,s1780,s718,s582,s2677,s1812,s1733,s141,s1118,s689,s2559,s593,s115,s2676,s284,s885,s2396,s1552,s2,s2627,s110,s2670,s1569,s2675,s102]) ).

cnf(s2679,plain,
    ( ~ spl2_63
    | spl2_296
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s141,s1780,s1119,s1648,s265,s2333,s2276,s2428,s2043,s718,s1067,s2677,s552,s849,s1299,s2678,s464,s2559,s1765,s593,s115,s2676,s110,s2670,s689,s520,s885,s284,s2396,s1552,s1569,s2675,s2,s2627,s102]) ).

cnf(s2680,plain,
    ( spl2_296
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s115,s63,s1428,s32,s2561,s2442,s2677,s1113,s849,s2043,s1299,s34,s2496,s2400,s2395,s46,s1566,s2679,s284,s885,s2396,s1552,s689,s1569,s2675,s1749,s2,s2627,s110,s2670,s102]) ).

cnf(s2681,plain,
    ( spl2_17
    | ~ spl2_63
    | ~ spl2_65
    | ~ spl2_90
    | ~ spl2_193
    | ~ spl2_277
    | ~ spl2_188
    | ~ spl2_296
    | spl2_99 ),
    inference(rat,[],[s1073,s2043,s2556,s488,s2537,s115,s709,s2378,s339,s2049,s1304,s25]) ).

cnf(s2682,plain,
    ( ~ spl2_63
    | spl2_77
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s2637,s2668,s849,s2648,s1299,s1722,s307,s2643,s284,s2313,s2621,s784,s689,s2681,s1552,s2,s1077,s2164,s2030,s2627,s1255,s873,s2169,s110,s2670,s2680,s102]) ).

cnf(s2683,plain,
    ( spl2_17
    | spl2_63
    | spl2_77
    | ~ spl2_296
    | spl2_4 ),
    inference(rat,[],[s2556,s2365,s2540,s1722,s2049,s284,s1304,s2124,s1552,s2,s2627,s1255,s2169,s110,s2670,s1566,s102]) ).

cnf(s2684,plain,
    ( spl2_77
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s284,s1722,s2621,s2593,s689,s2683,s2682,s2,s2627,s110,s2670,s2680,s102]) ).

cnf(s2685,plain,
    ( spl2_188
    | spl2_17
    | ~ spl2_63
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s2657,s2652,s115,s2392,s25,s1722,s2,s2313,s346,s307,s284,s2124,s2627,s2684,s2680,s102]) ).

cnf(s2686,plain,
    ( spl2_17
    | ~ spl2_63
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s334,s2012,s2043,s930,s488,s2659,s2270,s2685,s132,s346,s307,s284,s2124,s25,s2627,s2680,s2684,s102]) ).

cnf(s2687,plain,
    ( spl2_298
    | ~ spl2_59
    | ~ spl2_17
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s284,s1812,s1722,s2677,s2648,s1778,s2,s2627,s110,s2670,s2684,s102]) ).

cnf(s2688,plain,
    ( ~ spl2_192
    | ~ spl2_298
    | ~ spl2_31
    | ~ spl2_155
    | ~ spl2_63 ),
    inference(rat,[],[s2428,s1780,s718,s582,s141,s1118]) ).

cnf(s2689,plain,
    ( ~ spl2_31
    | ~ spl2_63
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s2313,s2017,s346,s1481,s307,s2379,s284,s873,s1812,s1816,s2677,s2688,s2687,s1733,s141,s1118,s2,s2627,s110,s2670,s2680,s2684,s689,s2686,s102]) ).

cnf(s2690,plain,
    ( spl2_188
    | ~ spl2_63
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s2041,s1453,s707,s1930,s2264,s2107,s460,s464,s475,s784,s32,s1790,s534,s2229,s421,s2442,s1709,s520,s110,s2670,s34,s701,s1778,s718,s2677,s2,s689,s2686,s179,s1113,s334,s2043,s1067,s552,s2012,s1063,s849,s1299,s2689,s2627,s2684,s2680]) ).

cnf(s2691,plain,
    ( ~ spl2_63
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s2668,s2690,s1778,s2677,s849,s1299,s2689,s689,s2686,s2,s2627,s2680,s2684]) ).

cnf(s2692,plain,
    ( spl2_17
    | spl2_99
    | spl2_4 ),
    inference(rat,[],[s2618,s999,s1425,s57,s2270,s2392,s115,s2313,s2656,s346,s1722,s307,s284,s2124,s25,s2,s2627,s110,s6,s2670,s2680,s2684,s2691,s102]) ).

cnf(s2693,plain,
    ( spl2_99
    | spl2_4 ),
    inference(rat,[],[s32,s63,s2442,s115,s1113,s1428,s2668,s2043,s2561,s1778,s1067,s2677,s1063,s552,s849,s284,s885,s1299,s34,s1722,s46,s2593,s689,s2692,s2691,s2684,s2680,s2,s2627,s110,s2670,s102]) ).

cnf(s2694,plain,
    ( ~ spl2_5
    | spl2_4 ),
    inference(rat,[],[s199,s2593,s1299,s1816,s849,s700,s1722,s307,s10,s2564,s1136,s219,s2615,s2693,s6,s110,s2670,s2]) ).

cnf(s2695,plain,
    spl2_4,
    inference(rat,[],[s2694,s2627]) ).

cnf(s2696,plain,
    spl2_45,
    inference(rat,[],[s49,s2695]) ).

cnf(s2697,plain,
    ( spl2_5
    | ~ spl2_14
    | ~ spl2_31
    | spl2_296
    | spl2_77
    | spl2_17
    | ~ spl2_86
    | spl2_99 ),
    inference(rat,[],[s857,s2043,s2590,s947,s80,s284,s1127,s1492,s4,s2336,s849,s363,s2603,s726,s552,s24,s115,s57,s145,s727,s19,s2586,s60,s25,s2579,s627,s91,s1749,s102,s2695]) ).

cnf(s2698,plain,
    ( spl2_192
    | spl2_33
    | ~ spl2_88
    | spl2_168
    | ~ spl2_7
    | ~ spl2_298
    | spl2_98
    | ~ spl2_80
    | spl2_164
    | spl2_165
    | ~ spl2_277
    | ~ spl2_25
    | spl2_99 ),
    inference(rat,[],[s1683,s2296,s1741,s381,s1369,s2176,s2041,s265,s1491,s2346,s2125,s2129,s1492,s2695]) ).

cnf(s2699,plain,
    ( ~ spl2_61
    | ~ spl2_89
    | ~ spl2_298
    | spl2_98
    | ~ spl2_279
    | ~ spl2_80
    | spl2_164
    | spl2_165
    | ~ spl2_31
    | ~ spl2_277
    | ~ spl2_25
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s1739,s2041,s1688,s1927,s681,s2428,s1790,s1780,s397,s2654,s582,s1328,s2698,s141,s656,s552,s57,s2556,s1073,s2043,s947,s1492,s339,s1641,s2695]) ).

cnf(s2700,plain,
    ( ~ spl2_14
    | ~ spl2_31
    | spl2_296
    | spl2_77
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s2206,s2040,s583,s478,s2125,s2630,s265,s857,s1818,s1127,s853,s760,s849,s2699,s307,s284,s2127,s57,s2460,s2556,s576,s539,s1073,s1109,s24,s115,s2043,s593,s947,s1765,s1492,s1150,s2697,s339,s627,s289,s2579,s91,s126,s25,s1077,s1749,s102,s2695]) ).

cnf(s2701,plain,
    ( spl2_5
    | ~ spl2_23
    | ~ spl2_31
    | spl2_17
    | ~ spl2_63 ),
    inference(rat,[],[s1816,s726,s552,s57,s727,s2586,s60]) ).

cnf(s2702,plain,
    ( spl2_61
    | ~ spl2_23
    | ~ spl2_31
    | spl2_17
    | ~ spl2_63 ),
    inference(rat,[],[s2380,s526,s265,s1304,s1822,s873,s1255,s1810,s1816,s115,s1296,s2701,s2695]) ).

cnf(s2703,plain,
    ( ~ spl2_31
    | spl2_296
    | spl2_99
    | spl2_77
    | spl2_17
    | ~ spl2_63 ),
    inference(rat,[],[s132,s334,s882,s2028,s284,s1648,s2043,s1978,s2119,s881,s996,s726,s1150,s57,s1112,s579,s552,s2702,s2701,s2559,s1765,s2086,s593,s115,s1296,s110,s2700,s102,s2695]) ).

cnf(s2704,plain,
    ( spl2_5
    | ~ spl2_14
    | spl2_31
    | ~ spl2_25
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s856,s1820,s2042,s1767,s1770,s115,s57,s19,s2586,s34]) ).

cnf(s2705,plain,
    ( ~ spl2_14
    | spl2_31
    | spl2_296
    | ~ spl2_25
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s413,s2272,s656,s37,s2043,s307,s2402,s856,s514,s885,s2042,s1772,s1768,s1770,s115,s593,s1765,s1492,s1150,s2704,s339,s627,s289,s91,s1749,s34,s2695]) ).

cnf(s2706,plain,
    ( spl2_5
    | ~ spl2_298
    | ~ spl2_23
    | spl2_17
    | ~ spl2_63 ),
    inference(rat,[],[s2530,s1816,s726,s57,s592,s2586,s60]) ).

cnf(s2707,plain,
    ( spl2_61
    | ~ spl2_5
    | ~ spl2_23
    | spl2_17
    | ~ spl2_63 ),
    inference(rat,[],[s2380,s2137,s265,s1304,s1822,s873,s1255,s1810,s1816,s115,s1296,s2695]) ).

cnf(s2708,plain,
    ( spl2_296
    | spl2_77
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s1150,s1112,s881,s552,s2707,s2005,s2264,s708,s2706,s464,s2559,s1765,s2086,s593,s115,s1296,s110,s2705,s2703,s25,s2695]) ).

cnf(s2709,plain,
    ( spl2_188
    | spl2_250
    | ~ spl2_80
    | ~ spl2_31
    | ~ spl2_296
    | ~ spl2_25 ),
    inference(rat,[],[s2005,s947,s857,s2165]) ).

cnf(s2710,plain,
    ( spl2_298
    | spl2_192
    | ~ spl2_188
    | spl2_176
    | ~ spl2_7
    | ~ spl2_14
    | ~ spl2_277
    | spl2_99 ),
    inference(rat,[],[s2041,s1369,s918,s1493,s1741,s1794,s1974,s91,s2695]) ).

cnf(s2711,plain,
    ( spl2_5
    | ~ spl2_14
    | ~ spl2_31
    | ~ spl2_296
    | spl2_77
    | spl2_17
    | spl2_99 ),
    inference(rat,[],[s2041,s1369,s918,s1742,s2125,s2710,s2630,s2709,s1127,s760,s849,s576,s552,s24,s115,s57,s727,s19,s2586,s60,s25,s1077,s2579]) ).

cnf(s2712,plain,
    ( spl2_188
    | ~ spl2_69
    | ~ spl2_80
    | ~ spl2_14
    | ~ spl2_31
    | ~ spl2_296
    | spl2_77
    | ~ spl2_25
    | spl2_99 ),
    inference(rat,[],[s1073,s2556,s339,s57,s2043,s378,s1127,s947,s2313,s2709,s2165,s2392,s1077]) ).

cnf(s2713,plain,
    ( ~ spl2_69
    | spl2_176
    | spl2_98
    | ~ spl2_80
    | ~ spl2_5
    | ~ spl2_14
    | ~ spl2_31
    | ~ spl2_296
    | spl2_77
    | ~ spl2_25
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s2041,s918,s1369,s2125,s1742,s2640,s1790,s2630,s2645,s2712,s760]) ).

cnf(s2714,plain,
    ( spl2_188
    | spl2_263
    | ~ spl2_89
    | ~ spl2_61
    | spl2_176
    | spl2_265
    | spl2_98
    | ~ spl2_80
    | spl2_164
    | ~ spl2_14
    | ~ spl2_31
    | ~ spl2_296
    | spl2_77
    | ~ spl2_25
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s1666,s1695,s1382,s1794,s581,s451,s2699,s179,s2039,s2040,s1109,s2012,s791,s792,s339,s2043,s2476,s68,s378,s947,s2346,s162,s2313,s2165,s2350,s2392,s1077,s91,s552,s656,s2696]) ).

cnf(s2715,plain,
    ( spl2_19
    | ~ spl2_14
    | ~ spl2_31
    | spl2_77
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s2699,s1109,s2640,s378,s2043,s1790,s488,s2645,s2714,s1796,s1188,s1601,s1955,s656,s551,s307,s284,s2127,s57,s579,s552,s849,s2713,s576,s1405,s539,s24,s115,s25,s1077,s269,s2579,s1150,s2711,s2708,s289,s91,s102,s2695]) ).

cnf(s2716,plain,
    ( spl2_188
    | spl2_250
    | spl2_98
    | spl2_164
    | ~ spl2_14
    | ~ spl2_31
    | ~ spl2_85
    | ~ spl2_25 ),
    inference(rat,[],[s1393,s1492,s947,s2005,s857,s2397,s2695]) ).

cnf(s2717,plain,
    ( ~ spl2_97
    | ~ spl2_16
    | ~ spl2_19
    | spl2_164 ),
    inference(rat,[],[s882,s709,s2695]) ).

cnf(s2718,plain,
    ( ~ spl2_188
    | ~ spl2_76
    | ~ spl2_31
    | ~ spl2_296
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s334,s2012,s2043,s930,s488]) ).

cnf(s2719,plain,
    ( ~ spl2_14
    | ~ spl2_31
    | spl2_77
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s2005,s879,s1711,s2017,s1733,s141,s265,s656,s524,s849,s68,s1127,s162,s2716,s2397,s2718,s2313,s132,s2717,s307,s284,s2409,s547,s726,s1769,s57,s2038,s865,s1887,s2715,s1150,s2711,s289,s2579,s91,s25,s1586,s2708,s2695,s2696,s102]) ).

cnf(s2720,plain,
    ( ~ spl2_31
    | spl2_77
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s57,s726,s579,s2169,s2702,s110,s2719,s2708]) ).

cnf(s2721,plain,
    ( ~ spl2_69
    | ~ spl2_7
    | spl2_164
    | ~ spl2_5
    | ~ spl2_170
    | spl2_31 ),
    inference(rat,[],[s1492,s2176,s2067,s265,s2308,s1300,s1526,s2695]) ).

cnf(s2722,plain,
    ( ~ spl2_14
    | spl2_77
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s879,s2005,s265,s1711,s2360,s1733,s11,s656,s503,s849,s2721,s132,s2717,s307,s284,s2409,s726,s57,s1150,s865,s289,s2704,s91,s1586,s115,s2537,s2012,s1928,s2720,s25,s2708,s2695,s102]) ).

cnf(s2723,plain,
    ( spl2_77
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s2378,s2302,s709,s2164,s2030,s2586,s1304,s873,s1255,s2169,s110,s2722,s115,s2537,s2720,s2708,s25]) ).

cnf(s2724,plain,
    ( spl2_296
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s1119,s1720,s265,s2113,s2276,s34,s2043,s2556,s1067,s57,s552,s996,s2707,s2706,s464,s520,s2559,s1765,s2086,s593,s115,s1893,s1978,s1296,s284,s110,s2396,s1785,s1749,s25,s2723,s2695,s102]) ).

cnf(s2725,plain,
    ( spl2_5
    | ~ spl2_14
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s1790,s378,s2645,s1492,s2165,s363,s539,s724,s24,s115,s592,s19,s60,s25,s2723,s2724,s2579,s2695]) ).

cnf(s2726,plain,
    ( spl2_188
    | ~ spl2_80
    | ~ spl2_5
    | ~ spl2_296
    | ~ spl2_77
    | ~ spl2_25 ),
    inference(rat,[],[s307,s346,s885,s2313,s2350,s2392]) ).

cnf(s2727,plain,
    ( spl2_19
    | ~ spl2_14
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s284,s307,s346,s2127,s1790,s57,s2645,s2270,s2726,s539,s24,s115,s25,s2723,s2724,s2579,s2725,s102]) ).

cnf(s2728,plain,
    ( spl2_298
    | spl2_176
    | ~ spl2_123
    | ~ spl2_79 ),
    inference(rat,[],[s1493,s1200,s1794,s1567,s2695]) ).

cnf(s2729,plain,
    ( ~ spl2_81
    | ~ spl2_298
    | ~ spl2_19
    | ~ spl2_5
    | ~ spl2_14
    | ~ spl2_296
    | spl2_99 ),
    inference(rat,[],[s1743,s2428,s2040,s132,s677,s792,s2717,s68,s885,s162,s1150,s289,s91,s2696,s2695]) ).

cnf(s2730,plain,
    ( ~ spl2_14
    | ~ spl2_31
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s1492,s709,s378,s1790,s2718,s2397,s2729,s2728,s547,s575,s1769,s2038,s1887,s593,s2727,s1150,s2725,s289,s2579,s91,s25,s1586,s2724,s2695]) ).

cnf(s2731,plain,
    ( ~ spl2_31
    | spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s2717,s284,s132,s1978,s334,s996,s2043,s1150,s57,s2012,s1067,s1112,s579,s1063,s552,s115,s2702,s2701,s1296,s110,s2730,s2723,s2724,s102,s2695]) ).

cnf(s2732,plain,
    ( spl2_17
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s1492,s1141,s1393,s535,s1291,s110,s2005,s1816,s1711,s1197,s873,s1733,s1601,s2397,s2380,s2176,s1119,s776,s1591,s265,s132,s1182,s2663,s1481,s1063,s593,s2012,s115,s1928,s2537,s2731,s1586,s2724,s2723,s25,s2695,s2696]) ).

cnf(s2733,plain,
    ( ~ spl2_48
    | ~ spl2_80
    | spl2_165
    | ~ spl2_14
    | ~ spl2_17
    | ~ spl2_63 ),
    inference(rat,[],[s162,s68,s1768,s524,s727,s661,s552,s2336,s873,s2378,s784,s1492,s1157,s4,s284,s2603,s59,s592,s126,s289,s91,s145,s146,s2696,s2695,s102]) ).

cnf(s2734,plain,
    ( ~ spl2_31
    | ~ spl2_80
    | ~ spl2_14
    | spl2_296
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s2040,s2193,s792,s1002,s68,s1648,s583,s162,s2028,s2459,s849,s2460,s265,s2339,s575,s1818,s1708,s334,s1775,s2043,s1733,s947,s1118,s689,s2579,s1077,s1785,s339,s132,s1779,s784,s1492,s1150,s60,s2733,s289,s627,s91,s1749,s2732,s2696,s2695]) ).

cnf(s2735,plain,
    ( ~ spl2_80
    | ~ spl2_14
    | spl2_296
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s1493,s409,s583,s2028,s2460,s334,s575,s2043,s1775,s514,s265,s1733,s524,s856,s68,s1820,s162,s1767,s1768,s2734,s132,s784,s1492,s1150,s60,s2733,s2579,s18,s2732,s289,s339,s627,s91,s1749,s2695,s2696]) ).

cnf(s2736,plain,
    ( ~ spl2_14
    | spl2_296
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s1492,s1150,s1765,s19,s593,s115,s2735,s627,s289,s91,s1749,s2695]) ).

cnf(s2737,plain,
    ( ~ spl2_48
    | spl2_193
    | spl2_10
    | ~ spl2_23
    | ~ spl2_191
    | ~ spl2_17
    | ~ spl2_63 ),
    inference(rat,[],[s2005,s586,s2276,s1182,s1492,s2606,s1157,s2612,s1893,s4,s284,s2246,s113,s59,s592,s689,s115,s1296,s464,s2696,s2695,s102]) ).

cnf(s2738,plain,
    ( ~ spl2_137
    | ~ spl2_165
    | spl2_176
    | spl2_178
    | ~ spl2_298
    | ~ spl2_23 ),
    inference(rat,[],[s1255,s1271,s2119,s1493,s1523,s1525,s115,s1296,s2695]) ).

cnf(s2739,plain,
    ( ~ spl2_31
    | spl2_296
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s1648,s2333,s1812,s1780,s284,s2428,s2396,s1341,s708,s2207,s1922,s2040,s2738,s1492,s574,s1141,s1188,s1955,s1733,s1601,s141,s2688,s1887,s1118,s269,s689,s2559,s464,s2523,s614,s1205,s6,s60,s2737,s1765,s593,s115,s1296,s106,s110,s2736,s520,s1569,s2732,s102,s2695]) ).

cnf(s2740,plain,
    ( spl2_164
    | ~ spl2_133
    | spl2_193
    | ~ spl2_23
    | ~ spl2_63 ),
    inference(rat,[],[s2380,s265,s873,s1182,s1816,s586,s881,s1492,s115,s1296,s2696,s2695]) ).

cnf(s2741,plain,
    ( ~ spl2_133
    | spl2_31
    | spl2_193
    | spl2_157
    | ~ spl2_13
    | ~ spl2_23
    | ~ spl2_63 ),
    inference(rat,[],[s1117,s265,s10,s1196,s373,s1141,s2740,s1291,s115,s1296,s2695]) ).

cnf(s2742,plain,
    ( spl2_97
    | spl2_176
    | ~ spl2_132
    | ~ spl2_139
    | ~ spl2_298
    | ~ spl2_23
    | ~ spl2_63 ),
    inference(rat,[],[s1493,s409,s583,s2028,s1821,s334,s1723,s132,s2695]) ).

cnf(s2743,plain,
    ( ~ spl2_183
    | ~ spl2_61
    | ~ spl2_132
    | ~ spl2_5
    | ~ spl2_298
    | ~ spl2_23 ),
    inference(rat,[],[s1930,s2107,s1648,s583]) ).

cnf(s2744,plain,
    ( spl2_296
    | ~ spl2_63
    | spl2_99 ),
    inference(rat,[],[s2532,s718,s2428,s1780,s2743,s2742,s1812,s575,s284,s1733,s141,s10,s2396,s1119,s1117,s708,s265,s2264,s2276,s2043,s2741,s2739,s60,s2737,s464,s614,s2559,s1765,s1205,s593,s115,s1296,s6,s106,s110,s2736,s520,s1569,s689,s2732,s102,s2695]) ).

cnf(s2765,plain,
    ( spl2_171
    | spl2_190
    | spl2_176 ),
    inference(rat,[],[s1493,s2695]) ).

cnf(s2766,plain,
    ( spl2_164
    | spl2_165
    | spl2_193 ),
    inference(rat,[],[s1492,s2695]) ).

cnf(s2768,plain,
    ( spl2_170
    | spl2_294 ),
    inference(rat,[],[s1486,s102]) ).

cnf(s2770,plain,
    ( ~ spl2_80
    | ~ spl2_23 ),
    inference(rat,[],[s1296,s2695]) ).

cnf(s2771,plain,
    ( ~ spl2_136
    | spl2_190
    | ~ spl2_77 ),
    inference(rat,[],[s1183,s2696]) ).

cnf(s2772,plain,
    ( spl2_38
    | spl2_54 ),
    inference(rat,[],[s1182,s2696]) ).

cnf(s2779,plain,
    ( ~ spl2_61
    | spl2_164
    | ~ spl2_133
    | spl2_193 ),
    inference(rat,[],[s881,s2695]) ).

cnf(s2800,plain,
    ( spl2_16
    | spl2_64 ),
    inference(rat,[],[s284,s102]) ).

cnf(s2812,plain,
    ( spl2_73
    | ~ spl2_24
    | ~ spl2_14 ),
    inference(rat,[],[s68,s2696]) ).

cnf(s2813,plain,
    ( spl2_99
    | spl2_296 ),
    inference(rat,[],[s464,s2276,s520,s1765,s63,s44,s2086,s593,s115,s2770,s2005,s110,s2395,s2634,s2744,s1749]) ).

cnf(s2814,plain,
    ( spl2_19
    | ~ spl2_63
    | spl2_296 ),
    inference(rat,[],[s784,s2378,s781,s1160,s885,s2800,s307,s60,s656,s2606,s2272,s1073,s2005,s514,s2766,s413,s1157,s339,s37,s4,s1077,s627,s289,s856,s148,s1785,s91,s1822,s110,s1771,s2770,s9,s115,s1749,s212,s138,s590,s1137,s2402,s1733,s1775,s219,s2615,s2813]) ).

cnf(s2815,plain,
    ( ~ spl2_63
    | spl2_296 ),
    inference(rat,[],[s700,s307,s1816,s10,s2564,s1136,s6,s110,s856,s2772,s265,s1119,s2814,s1733,s1775,s219,s2615,s2813]) ).

cnf(s2816,plain,
    ( ~ spl2_14
    | spl2_296 ),
    inference(rat,[],[s854,s37,s849,s2085,s2024,s1785,s91,s1113,s2005,s2395,s1749,s2400,s1566,s2815]) ).

cnf(s2817,plain,
    spl2_296,
    inference(rat,[],[s464,s2276,s520,s709,s63,s44,s2086,s2247,s115,s10,s2770,s6,s110,s2816,s2005,s2395,s2815,s219,s2615,s2813,s1749]) ).

cnf(s2819,plain,
    ( spl2_193
    | ~ spl2_31
    | spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | ~ spl2_63 ),
    inference(rat,[],[s2718,s2350,s132,s1393,s378,s2766,s547,s372,s1775,s1733,s1118,s689,s2732,s2579,s2817]) ).

cnf(s2820,plain,
    ( ~ spl2_31
    | spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | ~ spl2_63 ),
    inference(rat,[],[s1711,s2005,s132,s947,s784,s2819,s1733,s1118,s689,s2732,s2817]) ).

cnf(s2821,plain,
    ( spl2_193
    | spl2_164
    | spl2_98
    | ~ spl2_81
    | ~ spl2_14 ),
    inference(rat,[],[s1393,s2766]) ).

cnf(s2822,plain,
    ( spl2_99
    | ~ spl2_80
    | ~ spl2_14
    | ~ spl2_63 ),
    inference(rat,[],[s2017,s2313,s2176,s784,s2821,s372,s547,s1775,s265,s1733,s141,s524,s856,s2812,s1820,s162,s1767,s1768,s2820,s18,s2732,s2579,s2817]) ).

cnf(s2823,plain,
    ( ~ spl2_22
    | ~ spl2_63 ),
    inference(rat,[],[s2117,s2012,s1733,s2313,s1597,s1775,s2000,s2817]) ).

cnf(s2824,plain,
    ( spl2_193
    | ~ spl2_31
    | ~ spl2_14
    | ~ spl2_63 ),
    inference(rat,[],[s2391,s2130,s983,s1525,s2040,s1922,s37,s708,s2067,s2005,s2662,s2017,s1711,s2718,s2313,s132,s378,s2766,s464,s2230,s372,s19,s2688,s2728,s593,s575,s91,s141,s1733,s423,s1188,s1601,s1118,s689,s2732,s1955,s1887,s115,s2822,s219,s2823,s2579,s269,s2817]) ).

cnf(s2825,plain,
    ( ~ spl2_31
    | ~ spl2_14
    | ~ spl2_63 ),
    inference(rat,[],[s1711,s2005,s132,s947,s709,s2824,s1733,s1118,s689,s2732,s115,s2822,s219,s2823,s2579,s2817]) ).

cnf(s2826,plain,
    ( ~ spl2_133
    | spl2_193
    | spl2_253
    | spl2_164 ),
    inference(rat,[],[s849,s2308,s2779,s586,s2766]) ).

cnf(s2827,plain,
    ( spl2_193
    | ~ spl2_14
    | ~ spl2_63 ),
    inference(rat,[],[s856,s1733,s1821,s1711,s2005,s2826,s132,s378,s1725,s2766,s372,s34,s1526,s2825,s18,s2732,s19,s115,s2822,s219,s2823,s2579,s2817]) ).

cnf(s2828,plain,
    ( spl2_183
    | spl2_38
    | ~ spl2_14
    | ~ spl2_63 ),
    inference(rat,[],[s588,s2107,s2428,s2006,s1780,s2728,s593,s115,s2822,s219,s575,s2823,s2579,s91,s32,s141,s856,s2772]) ).

cnf(s2829,plain,
    ( ~ spl2_133
    | ~ spl2_14
    | ~ spl2_63 ),
    inference(rat,[],[s1740,s2130,s2040,s409,s983,s2828,s339,s586,s2772,s514,s2728,s593,s115,s2822,s219,s575,s2823,s2579,s91,s2827,s2817]) ).

cnf(s2830,plain,
    ( spl2_99
    | ~ spl2_14
    | ~ spl2_63 ),
    inference(rat,[],[s265,s2772,s1119,s856,s1733,s1711,s2005,s2829,s132,s709,s2827,s115,s2822,s2817]) ).

cnf(s2831,plain,
    ( ~ spl2_14
    | ~ spl2_63 ),
    inference(rat,[],[s2830,s219,s2579,s2823]) ).

cnf(s2832,plain,
    ( spl2_193
    | spl2_99
    | ~ spl2_63 ),
    inference(rat,[],[s2532,s718,s2428,s1780,s2743,s2567,s1812,s60,s520,s2800,s2594,s793,s2717,s132,s1711,s1733,s141,s1119,s265,s1822,s1813,s2005,s2740,s464,s689,s373,s1205,s2732,s115,s2770,s110,s2831,s2823,s2817]) ).

cnf(s2833,plain,
    ( ~ spl2_133
    | ~ spl2_193
    | ~ spl2_63 ),
    inference(rat,[],[s1067,s552,s2169,s1816,s873,s2378,s586,s2772,s514,s709,s115,s2770,s110,s2831,s2817]) ).

cnf(s2834,plain,
    ( ~ spl2_193
    | ~ spl2_63 ),
    inference(rat,[],[s873,s2378,s2169,s2067,s1481,s2012,s1821,s334,s2005,s2833,s1723,s132,s709,s115,s2770,s110,s2831,s2817]) ).

cnf(s2835,plain,
    ~ spl2_63,
    inference(rat,[],[s219,s2615,s2832,s2834,s2823]) ).

cnf(s2836,plain,
    spl2_87,
    inference(rat,[],[s1566,s2835]) ).

cnf(s2837,plain,
    ( spl2_298
    | ~ spl2_248
    | spl2_179
    | spl2_176
    | ~ spl2_14 ),
    inference(rat,[],[s2387,s1974,s1567,s2836]) ).

cnf(s2838,plain,
    ( ~ spl2_133
    | spl2_193
    | spl2_99
    | ~ spl2_14 ),
    inference(rat,[],[s2041,s1375,s583,s918,s2430,s2107,s1919,s2040,s477,s2129,s2837,s592,s1471,s423,s60,s1286,s1197,s1526,s34,s488,s1291,s2308,s849,s2024,s265,s464,s575,s1600,s88,s57,s2445,s2766,s2768,s776,s2350,s2821,s547,s372,s2015,s2164,s2579,s115,s63,s2772,s2085,s91,s2817,s2836,s2835]) ).

cnf(s2839,plain,
    ( spl2_298
    | spl2_193
    | spl2_99
    | ~ spl2_14 ),
    inference(rat,[],[s918,s2041,s2765,s1375,s2083,s1794,s1974,s849,s2024,s575,s2768,s776,s2350,s2821,s547,s372,s2015,s2164,s2579,s115,s63,s2772,s2085,s91,s2836,s2817,s2835]) ).

cnf(s2840,plain,
    ( spl2_193
    | spl2_99
    | ~ spl2_14 ),
    inference(rat,[],[s2646,s2129,s2839,s2264,s2005,s2838,s132,s378,s2350,s2766,s2821,s372,s547,s2015,s2164,s464,s2579,s37,s2161,s115,s63,s2772,s2085,s91,s2817,s2835,s2836]) ).

cnf(s2841,plain,
    ( spl2_298
    | spl2_99
    | ~ spl2_14 ),
    inference(rat,[],[s918,s2041,s2765,s1375,s2083,s1794,s1974,s2768,s575,s2000,s2579,s2392,s25,s46,s1526,s60,s2069,s57,s2302,s2308,s849,s2313,s378,s339,s2272,s2005,s514,s413,s2176,s2840,s265,s37,s2024,s115,s63,s2772,s2085,s91,s2836,s2835,s2817]) ).

cnf(s2842,plain,
    ( spl2_99
    | ~ spl2_14 ),
    inference(rat,[],[s918,s2041,s2125,s1369,s2646,s1742,s2841,s2392,s25,s46,s1526,s60,s2313,s132,s57,s2069,s378,s2302,s339,s2272,s413,s2005,s2176,s514,s2840,s37,s2308,s849,s2024,s265,s115,s63,s2772,s2085,s91,s2817,s2835,s2836]) ).

cnf(s2843,plain,
    ~ spl2_14,
    inference(rat,[],[s2272,s413,s2005,s339,s2176,s751,s378,s1129,s2164,s2313,s2015,s2000,s219,s2842,s115,s63,s265,s2772,s37,s2085,s2024,s2579,s91,s2817,s2835,s2836]) ).

cnf(s2845,plain,
    spl2_23,
    inference(rat,[],[s110,s2843]) ).

cnf(s2847,plain,
    spl2_13,
    inference(rat,[],[s6,s2843]) ).

cnf(s2848,plain,
    ~ spl2_80,
    inference(rat,[],[s2770,s2845]) ).

cnf(s2849,plain,
    spl2_19,
    inference(rat,[],[s115,s2848]) ).

cnf(s2850,plain,
    spl2_123,
    inference(rat,[],[s593,s2849]) ).

cnf(s2852,plain,
    ~ spl2_31,
    inference(rat,[],[s44,s2835,s2849]) ).

cnf(s2853,plain,
    ~ spl2_38,
    inference(rat,[],[s63,s2835,s2849]) ).

cnf(s2857,plain,
    spl2_39,
    inference(rat,[],[s34,s2852]) ).

cnf(s2862,plain,
    spl2_29,
    inference(rat,[],[s32,s2853]) ).

cnf(s2864,plain,
    spl2_54,
    inference(rat,[],[s2772,s2853]) ).

cnf(s2866,plain,
    ~ spl2_72,
    inference(rat,[],[s1196,s2852,s2853]) ).

cnf(s2870,plain,
    ( ~ spl2_133
    | spl2_193 ),
    inference(rat,[],[s2766,s1141,s586,s1291,s2866,s2864]) ).

cnf(s2871,plain,
    spl2_193,
    inference(rat,[],[s1156,s2766,s2169,s2067,s1481,s5,s1057,s704,s2264,s2005,s2870,s464,s2845,s2817,s2864,s2862,s2853,s2852]) ).

cnf(s2873,plain,
    ~ spl2_97,
    inference(rat,[],[s709,s2849,s2871]) ).

cnf(s2874,plain,
    ~ spl2_21,
    inference(rat,[],[s2247,s2873]) ).

cnf(s2875,plain,
    spl2_76,
    inference(rat,[],[s132,s2873]) ).

cnf(s2878,plain,
    ~ spl2_22,
    inference(rat,[],[s10,s2845,s2847,s2874]) ).

cnf(s2879,plain,
    ( spl2_298
    | ~ spl2_133
    | spl2_99 ),
    inference(rat,[],[s2041,s1373,s2771,s2353,s1200,s2083,s1899,s1567,s520,s2270,s1286,s849,s552,s1067,s1483,s592,s724,s2169,s873,s2381,s586,s2862,s2850,s2836,s2849,s2845,s2817,s2864,s2853,s2871,s2857]) ).

cnf(s2880,plain,
    ( ~ spl2_133
    | spl2_99 ),
    inference(rat,[],[s1373,s2041,s2353,s1865,s1453,s525,s2119,s2879,s520,s2270,s1286,s849,s1483,s552,s592,s1067,s724,s2169,s873,s2381,s586,s2862,s2864,s2845,s2857,s2853,s2871,s2817,s2836]) ).

cnf(s2881,plain,
    ( spl2_298
    | spl2_99 ),
    inference(rat,[],[s2041,s1616,s2771,s1481,s2169,s873,s2378,s1525,s2765,s575,s5,s151,s741,s2040,s2193,s397,s990,s1643,s1200,s2184,s2083,s1899,s1567,s334,s2005,s2880,s2864,s2817,s2845,s2873,s2878,s2862,s2857,s2850,s2835,s2836,s2849,s2875]) ).

cnf(s2882,plain,
    ( spl2_165
    | spl2_99 ),
    inference(rat,[],[s1643,s1616,s477,s397,s2040,s1683,s2193,s552,s588,s849,s391,s853,s1713,s2442,s60,s990,s2041,s1113,s592,s1865,s1453,s1481,s724,s2119,s2169,s873,s2378,s1818,s2005,s2880,s2881,s2857,s2849,s2817,s2873,s2862,s2864,s2871,s2845,s2853]) ).

cnf(s2883,plain,
    spl2_99,
    inference(rat,[],[s409,s990,s2765,s2193,s588,s2428,s1743,s2040,s2738,s574,s434,s701,s552,s849,s1300,s60,s57,s2069,s2302,s2882,s2881,s2005,s2880,s2864,s2862,s2849,s2817,s2875,s2845,s2866,s2853,s2852,s2871]) ).

cnf(s2884,plain,
    ~ spl2_11,
    inference(rat,[],[s2615,s2883]) ).

cnf(s2885,plain,
    $false,
    inference(rat,[],[s219,s2878,s2884,s2883]) ).

thf(f24328,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2885]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GRA083^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.24  % Computer : n014.cluster.edu
% 0.11/0.24  % Model    : x86_64 x86_64
% 0.11/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24  % Memory   : 8046.5625MB
% 0.11/0.24  % OS       : Linux 6.8.0-71-generic
% 0.11/0.24  % CPULimit : 300
% 0.11/0.24  % WCLimit  : 300
% 0.11/0.24  % DateTime : Tue Sep 29 18:54:15 UTC 2026
% 0.11/0.24  % CPUTime  : 
% 0.11/0.24  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.29  Running higher-order theorem proving
% 0.24/0.31  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.29/0.49  % (3065626)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.29/0.49  % (3065634)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=3463085663: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)
% 1.29/0.49  % (3065633)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3406635599:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.29/0.49  % (3065633)Instruction limit reached! 
% 1.29/0.49  % (3065633)------------------------------
% 1.29/0.49  % (3065633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.49  % (3065633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.49  % (3065633)CaDiCaL version: 2.1.3
% 1.29/0.49  % (3065633)Termination reason: Instruction limit
% 1.29/0.49  % (3065633)Termination phase: Saturation
% 1.29/0.49  % (3065633)Time elapsed: 0.004 s
% 1.29/0.49  % (3065633)Peak memory usage: 12 MB
% 1.29/0.49  % (3065633)Instructions burned: 3 (million)
% 1.29/0.49  % (3065637)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.29/0.49  % (3065637)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
% 1.29/0.49  % (3065631)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=99775240:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.29/0.49  % (3065632)lrs+10_16_si=on:nwc=1.5:random_seed=4086035571:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.29/0.49  % (3065636)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1931930678:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.29/0.49  % (3065635)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1438152464:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.29/0.49  % (3065637)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=3272197868:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.29/0.49  % (3065632)Instruction limit reached! 
% 1.29/0.49  % (3065632)------------------------------
% 1.29/0.49  % (3065632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.49  % (3065632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.49  % (3065632)CaDiCaL version: 2.1.3
% 1.29/0.49  % (3065632)Termination reason: Instruction limit
% 1.29/0.49  % (3065632)Termination phase: Saturation
% 1.29/0.49  % (3065632)Time elapsed: 0.015 s
% 1.29/0.49  % (3065632)Peak memory usage: 12 MB
% 1.29/0.49  % (3065632)Instructions burned: 18 (million)
% 1.29/0.49  % (3065635)Instruction limit reached! 
% 1.29/0.49  % (3065635)------------------------------
% 1.29/0.49  % (3065635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.49  % (3065635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.49  % (3065635)CaDiCaL version: 2.1.3
% 1.29/0.49  % (3065635)Termination reason: Instruction limit
% 1.29/0.49  % (3065635)Termination phase: Saturation
% 1.29/0.49  % (3065635)Time elapsed: 0.023 s
% 1.29/0.49  % (3065635)Peak memory usage: 12 MB
% 1.29/0.49  % (3065635)Instructions burned: 24 (million)
% 1.29/0.49  % (3065640)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1386328799:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.29/0.49  % (3065640)Instruction limit reached! 
% 1.29/0.49  % (3065640)------------------------------
% 1.29/0.49  % (3065640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.49  % (3065640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.49  % (3065640)CaDiCaL version: 2.1.3
% 1.29/0.49  % (3065640)Termination reason: Instruction limit
% 1.29/0.49  % (3065640)Termination phase: Saturation
% 1.29/0.49  % (3065640)Time elapsed: 0.003 s
% 1.29/0.49  % (3065640)Peak memory usage: 12 MB
% 1.29/0.49  % (3065640)Instructions burned: 2 (million)
% 1.29/0.49  % (3065646)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1629951942:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.29/0.52  % (3065647)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.29/0.52  % (3065646)Instruction limit reached! 
% 1.29/0.52  % (3065646)------------------------------
% 1.29/0.52  % (3065646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.52  % (3065646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.52  % (3065646)CaDiCaL version: 2.1.3
% 1.29/0.52  % (3065646)Termination reason: Instruction limit
% 1.29/0.52  % (3065646)Termination phase: Saturation
% 1.29/0.52  % (3065646)Time elapsed: 0.006 s
% 1.29/0.52  % (3065646)Peak memory usage: 12 MB
% 1.29/0.52  % (3065646)Instructions burned: 5 (million)
% 1.29/0.52  % (3065647)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=472900:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.29/0.52  % (3065631)Instruction limit reached! 
% 1.29/0.52  % (3065631)------------------------------
% 1.29/0.52  % (3065631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.52  % (3065631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.52  % (3065631)CaDiCaL version: 2.1.3
% 1.29/0.52  % (3065631)Termination reason: Instruction limit
% 1.29/0.52  % (3065631)Termination phase: Saturation
% 1.29/0.52  % (3065631)Time elapsed: 0.062 s
% 1.29/0.52  % (3065631)Peak memory usage: 12 MB
% 1.29/0.52  % (3065631)Instructions burned: 88 (million)
% 1.29/0.52  % (3065636)Instruction limit reached! 
% 1.29/0.52  % (3065636)------------------------------
% 1.29/0.52  % (3065636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.52  % (3065636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.52  % (3065636)CaDiCaL version: 2.1.3
% 1.29/0.52  % (3065636)Termination reason: Instruction limit
% 1.29/0.52  % (3065636)Termination phase: Saturation
% 1.29/0.52  % (3065636)Time elapsed: 0.063 s
% 1.29/0.52  % (3065636)Peak memory usage: 12 MB
% 1.29/0.52  % (3065636)Instructions burned: 75 (million)
% 1.29/0.52  % (3065647)Instruction limit reached! 
% 1.29/0.52  % (3065647)------------------------------
% 1.29/0.52  % (3065647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.52  % (3065647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.52  % (3065647)CaDiCaL version: 2.1.3
% 1.29/0.52  % (3065647)Termination reason: Instruction limit
% 1.29/0.52  % (3065647)Termination phase: Saturation
% 1.29/0.52  % (3065647)Time elapsed: 0.007 s
% 1.29/0.52  % (3065647)Peak memory usage: 12 MB
% 1.29/0.52  % (3065647)Instructions burned: 7 (million)
% 1.29/0.52  % (3065649)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2441799899:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.29/0.52  % (3065651)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
% 1.29/0.52  % (3065651)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.29/0.52  % (3065649)Instruction limit reached! 
% 1.29/0.52  % (3065649)------------------------------
% 1.29/0.52  % (3065649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.52  % (3065649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.52  % (3065649)CaDiCaL version: 2.1.3
% 1.29/0.52  % (3065649)Termination reason: Instruction limit
% 1.29/0.52  % (3065649)Termination phase: Saturation
% 1.29/0.52  % (3065649)Time elapsed: 0.013 s
% 1.29/0.52  % (3065649)Peak memory usage: 12 MB
% 1.29/0.52  % (3065649)Instructions burned: 13 (million)
% 1.29/0.52  % (3065651)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3343421933:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.29/0.52  % (3065655)lrs+10_1_si=on:cs=on:random_seed=3023719025:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.29/0.52  % (3065653)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=3140403229:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.29/0.52  % (3065656)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.29/0.56  % (3065655)Instruction limit reached! 
% 1.29/0.56  % (3065655)------------------------------
% 1.29/0.56  % (3065655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.56  % (3065655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.56  % (3065655)CaDiCaL version: 2.1.3
% 1.29/0.56  % (3065655)Termination reason: Instruction limit
% 1.29/0.56  % (3065655)Termination phase: Saturation
% 1.29/0.56  % (3065655)Time elapsed: 0.008 s
% 1.29/0.56  % (3065655)Peak memory usage: 12 MB
% 1.29/0.56  % (3065655)Instructions burned: 9 (million)
% 1.29/0.56  % (3065656)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=1787708299:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.29/0.56  % (3065656)Instruction limit reached! 
% 1.29/0.56  % (3065656)------------------------------
% 1.29/0.56  % (3065656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.56  % (3065656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.56  % (3065656)CaDiCaL version: 2.1.3
% 1.29/0.56  % (3065656)Termination reason: Instruction limit
% 1.29/0.56  % (3065656)Termination phase: Saturation
% 1.29/0.56  % (3065656)Time elapsed: 0.003 s
% 1.29/0.56  % (3065656)Peak memory usage: 11 MB
% 1.29/0.56  % (3065656)Instructions burned: 3 (million)
% 1.29/0.56  % (3065651)Instruction limit reached! 
% 1.29/0.56  % (3065651)------------------------------
% 1.29/0.56  % (3065651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.56  % (3065651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.56  % (3065651)CaDiCaL version: 2.1.3
% 1.29/0.56  % (3065651)Termination reason: Instruction limit
% 1.29/0.56  % (3065651)Termination phase: Saturation
% 1.29/0.56  % (3065651)Time elapsed: 0.024 s
% 1.29/0.56  % (3065651)Peak memory usage: 12 MB
% 1.29/0.56  % (3065651)Instructions burned: 28 (million)
% 1.29/0.56  % (3065657)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3464740434:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.29/0.56  % (3065657)Refutation not found, incomplete strategy
% 1.29/0.56  % (3065657)------------------------------
% 1.29/0.56  % (3065657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.56  % (3065657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.56  % (3065657)CaDiCaL version: 2.1.3
% 1.29/0.56  % (3065657)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.56  % (3065657)Time elapsed: 0.001 s
% 1.29/0.56  % (3065657)Peak memory usage: 11 MB
% 1.29/0.56  % (3065657)------------------------------
% 1.29/0.56  % (3065657)------------------------------
% 1.29/0.56  % (3065637)Instruction limit reached! 
% 1.29/0.56  % (3065637)------------------------------
% 1.29/0.56  % (3065637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.56  % (3065637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.56  % (3065637)CaDiCaL version: 2.1.3
% 1.29/0.56  % (3065637)Termination reason: Instruction limit
% 1.29/0.56  % (3065637)Termination phase: Saturation
% 1.29/0.56  % (3065637)Time elapsed: 0.118 s
% 1.29/0.56  % (3065637)Peak memory usage: 12 MB
% 1.29/0.56  % (3065637)Instructions burned: 158 (million)
% 1.29/0.56  % (3065661)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1308762664:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.29/0.56  % (3065661)Refutation not found, incomplete strategy
% 1.29/0.56  % (3065661)------------------------------
% 1.29/0.56  % (3065661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.56  % (3065661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.56  % (3065661)CaDiCaL version: 2.1.3
% 1.29/0.56  % (3065661)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.56  % (3065661)Time elapsed: 0.001 s
% 1.29/0.56  % (3065661)Peak memory usage: 12 MB
% 1.29/0.56  % (3065661)------------------------------
% 1.29/0.56  % (3065661)------------------------------
% 1.29/0.56  % (3065663)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2238231504:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.29/0.56  % (3065663)Refutation not found, incomplete strategy
% 1.96/0.60  % (3065663)------------------------------
% 1.96/0.60  % (3065663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.60  % (3065663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.60  % (3065663)CaDiCaL version: 2.1.3
% 1.96/0.60  % (3065663)Termination reason: Refutation not found, incomplete strategy
% 1.96/0.60  % (3065663)Time elapsed: 0.001 s
% 1.96/0.60  % (3065663)Peak memory usage: 12 MB
% 1.96/0.60  % (3065663)------------------------------
% 1.96/0.60  % (3065663)------------------------------
% 1.96/0.60  % (3065664)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1362068323:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.96/0.60  % (3065666)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1927053680:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.96/0.60  % (3065666)Refutation not found, incomplete strategy
% 1.96/0.60  % (3065666)------------------------------
% 1.96/0.60  % (3065666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.60  % (3065666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.60  % (3065666)CaDiCaL version: 2.1.3
% 1.96/0.60  % (3065666)Termination reason: Refutation not found, incomplete strategy
% 1.96/0.60  % (3065666)Time elapsed: 0.001 s
% 1.96/0.60  % (3065666)Peak memory usage: 11 MB
% 1.96/0.60  % (3065666)Instructions burned: 1 (million)
% 1.96/0.60  % (3065666)------------------------------
% 1.96/0.60  % (3065666)------------------------------
% 1.96/0.60  % (3065667)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2665636046:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.96/0.60  % (3065664)Instruction limit reached! 
% 1.96/0.60  % (3065664)------------------------------
% 1.96/0.60  % (3065664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.60  % (3065664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.60  % (3065664)CaDiCaL version: 2.1.3
% 1.96/0.60  % (3065664)Termination reason: Instruction limit
% 1.96/0.60  % (3065664)Termination phase: Saturation
% 1.96/0.60  % (3065664)Time elapsed: 0.015 s
% 1.96/0.60  % (3065664)Peak memory usage: 12 MB
% 1.96/0.60  % (3065664)Instructions burned: 15 (million)
% 1.96/0.60  % (3065670)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1666022376:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.96/0.60  % (3065670)Refutation not found, incomplete strategy
% 1.96/0.60  % (3065670)------------------------------
% 1.96/0.60  % (3065670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.60  % (3065670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.60  % (3065670)CaDiCaL version: 2.1.3
% 1.96/0.60  % (3065670)Termination reason: Refutation not found, incomplete strategy
% 1.96/0.60  % (3065670)Time elapsed: 0.001 s
% 1.96/0.60  % (3065670)Peak memory usage: 11 MB
% 1.96/0.60  % (3065670)------------------------------
% 1.96/0.60  % (3065670)------------------------------
% 1.96/0.60  % (3065653)Instruction limit reached! 
% 1.96/0.60  % (3065653)------------------------------
% 1.96/0.60  % (3065653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.60  % (3065653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.60  % (3065653)CaDiCaL version: 2.1.3
% 1.96/0.60  % (3065653)Termination reason: Instruction limit
% 1.96/0.60  % (3065653)Termination phase: Saturation
% 1.96/0.60  % (3065653)Time elapsed: 0.075 s
% 1.96/0.60  % (3065653)Peak memory usage: 12 MB
% 1.96/0.60  % (3065653)Instructions burned: 86 (million)
% 1.96/0.60  % (3065667)Instruction limit reached! 
% 1.96/0.60  % (3065667)------------------------------
% 1.96/0.60  % (3065667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.60  % (3065667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.60  % (3065667)CaDiCaL version: 2.1.3
% 1.96/0.60  % (3065667)Termination reason: Instruction limit
% 1.96/0.60  % (3065667)Termination phase: Saturation
% 1.96/0.60  % (3065667)Time elapsed: 0.014 s
% 1.96/0.60  % (3065667)Peak memory usage: 12 MB
% 1.96/0.60  % (3065667)Instructions burned: 15 (million)
% 1.96/0.60  % (3065672)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1721499790:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.16/0.64  % (3065678)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
% 2.16/0.64  % (3065678)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.16/0.64  % (3065678)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=3650709328:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.16/0.64  % (3065674)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3652304338:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.16/0.64  % (3065676)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2588473703:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.16/0.64  % (3065634)Instruction limit reached! 
% 2.16/0.64  % (3065634)------------------------------
% 2.16/0.64  % (3065634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.64  % (3065634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.64  % (3065634)CaDiCaL version: 2.1.3
% 2.16/0.64  % (3065634)Termination reason: Instruction limit
% 2.16/0.64  % (3065634)Termination phase: Saturation
% 2.16/0.64  % (3065634)Time elapsed: 0.208 s
% 2.16/0.64  % (3065634)Peak memory usage: 13 MB
% 2.16/0.64  % (3065634)Instructions burned: 638 (million)
% 2.16/0.64  % (3065678)Instruction limit reached! 
% 2.16/0.64  % (3065678)------------------------------
% 2.16/0.64  % (3065678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.64  % (3065678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.64  % (3065678)CaDiCaL version: 2.1.3
% 2.16/0.64  % (3065678)Termination reason: Instruction limit
% 2.16/0.64  % (3065678)Termination phase: Saturation
% 2.16/0.64  % (3065678)Time elapsed: 0.013 s
% 2.16/0.64  % (3065678)Peak memory usage: 12 MB
% 2.16/0.64  % (3065678)Instructions burned: 14 (million)
% 2.16/0.64  % (3065672)Instruction limit reached! 
% 2.16/0.64  % (3065672)------------------------------
% 2.16/0.64  % (3065672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.64  % (3065672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.64  % (3065672)CaDiCaL version: 2.1.3
% 2.16/0.64  % (3065672)Termination reason: Instruction limit
% 2.16/0.64  % (3065672)Termination phase: Saturation
% 2.16/0.64  % (3065672)Time elapsed: 0.024 s
% 2.16/0.64  % (3065672)Peak memory usage: 12 MB
% 2.16/0.64  % (3065672)Instructions burned: 26 (million)
% 2.16/0.64  % (3065679)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.16/0.64  % (3065680)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=3137852873:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.16/0.64  % (3065679)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=1572669275:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.16/0.64  % (3065674)Instruction limit reached! 
% 2.16/0.64  % (3065674)------------------------------
% 2.16/0.64  % (3065674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.64  % (3065674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.64  % (3065674)CaDiCaL version: 2.1.3
% 2.16/0.64  % (3065674)Termination reason: Instruction limit
% 2.16/0.64  % (3065674)Termination phase: Saturation
% 2.16/0.64  % (3065674)Time elapsed: 0.019 s
% 2.16/0.64  % (3065674)Peak memory usage: 12 MB
% 2.16/0.64  % (3065674)Instructions burned: 25 (million)
% 2.16/0.64  % (3065679)Instruction limit reached! 
% 2.16/0.64  % (3065679)------------------------------
% 2.16/0.64  % (3065679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.64  % (3065679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.64  % (3065679)CaDiCaL version: 2.1.3
% 2.16/0.64  % (3065679)Termination reason: Instruction limit
% 2.16/0.64  % (3065679)Termination phase: Saturation
% 2.16/0.64  % (3065679)Time elapsed: 0.009 s
% 2.16/0.70  % (3065679)Peak memory usage: 12 MB
% 2.16/0.70  % (3065679)Instructions burned: 8 (million)
% 2.16/0.70  % (3065685)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=478680758:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.16/0.70  % (3065685)Instruction limit reached! 
% 2.16/0.70  % (3065685)------------------------------
% 2.16/0.70  % (3065685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.70  % (3065685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.70  % (3065685)CaDiCaL version: 2.1.3
% 2.16/0.70  % (3065685)Termination reason: Instruction limit
% 2.16/0.70  % (3065685)Termination phase: Saturation
% 2.16/0.70  % (3065685)Time elapsed: 0.004 s
% 2.16/0.70  % (3065685)Peak memory usage: 12 MB
% 2.16/0.70  % (3065685)Instructions burned: 7 (million)
% 2.16/0.70  % (3065686)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3245166219:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.16/0.70  % (3065680)Instruction limit reached! 
% 2.16/0.70  % (3065680)------------------------------
% 2.16/0.70  % (3065680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.70  % (3065680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.70  % (3065680)CaDiCaL version: 2.1.3
% 2.16/0.70  % (3065680)Termination reason: Instruction limit
% 2.16/0.70  % (3065680)Termination phase: Saturation
% 2.16/0.70  % (3065680)Time elapsed: 0.030 s
% 2.16/0.70  % (3065680)Peak memory usage: 12 MB
% 2.16/0.70  % (3065680)Instructions burned: 32 (million)
% 2.16/0.70  % (3065687)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1242558438:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.16/0.70  % (3065690)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3099714612:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.16/0.70  % (3065693)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3149138788:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.16/0.70  % (3065693)Refutation not found, incomplete strategy
% 2.16/0.70  % (3065693)------------------------------
% 2.16/0.70  % (3065693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.70  % (3065693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.70  % (3065693)CaDiCaL version: 2.1.3
% 2.16/0.70  % (3065693)Termination reason: Refutation not found, incomplete strategy
% 2.16/0.70  % (3065693)Time elapsed: 0.001 s
% 2.16/0.70  % (3065693)Peak memory usage: 12 MB
% 2.16/0.70  % (3065693)Instructions burned: 1 (million)
% 2.16/0.70  % (3065693)------------------------------
% 2.16/0.70  % (3065693)------------------------------
% 2.16/0.70  % (3065676)Instruction limit reached! 
% 2.16/0.70  % (3065676)------------------------------
% 2.16/0.70  % (3065676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.70  % (3065676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.70  % (3065676)CaDiCaL version: 2.1.3
% 2.16/0.70  % (3065676)Termination reason: Instruction limit
% 2.16/0.70  % (3065676)Termination phase: Saturation
% 2.16/0.70  % (3065676)Time elapsed: 0.054 s
% 2.16/0.70  % (3065676)Peak memory usage: 12 MB
% 2.16/0.70  % (3065676)Instructions burned: 60 (million)
% 2.16/0.70  % (3065691)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3262237462:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.16/0.70  % (3065686)Instruction limit reached! 
% 2.16/0.70  % (3065686)------------------------------
% 2.16/0.70  % (3065686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.70  % (3065686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.70  % (3065686)CaDiCaL version: 2.1.3
% 2.16/0.70  % (3065686)Termination reason: Instruction limit
% 2.16/0.70  % (3065686)Termination phase: Saturation
% 2.16/0.70  % (3065686)Time elapsed: 0.019 s
% 2.16/0.70  % (3065686)Peak memory usage: 11 MB
% 2.16/0.70  % (3065686)Instructions burned: 24 (million)
% 2.16/0.70  % (3065687)Instruction limit reached! 
% 2.16/0.70  % (3065687)------------------------------
% 2.16/0.70  % (3065687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.70  % (3065687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.70  % (3065687)CaDiCaL version: 2.1.3
% 2.16/0.70  % (3065687)Termination reason: Instruction limit
% 2.53/0.79  % (3065687)Termination phase: Saturation
% 2.53/0.79  % (3065687)Time elapsed: 0.021 s
% 2.53/0.79  % (3065687)Peak memory usage: 12 MB
% 2.53/0.79  % (3065687)Instructions burned: 20 (million)
% 2.53/0.79  % (3065699)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.53/0.79  % (3065699)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=872535494:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.53/0.79  % (3065700)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2810003785:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.53/0.79  % (3065700)Refutation not found, incomplete strategy
% 2.53/0.79  % (3065700)------------------------------
% 2.53/0.79  % (3065700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.79  % (3065700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.79  % (3065700)CaDiCaL version: 2.1.3
% 2.53/0.79  % (3065700)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.79  % (3065700)Time elapsed: 0.001 s
% 2.53/0.79  % (3065700)Peak memory usage: 12 MB
% 2.53/0.79  % (3065700)Instructions burned: 1 (million)
% 2.53/0.79  % (3065700)------------------------------
% 2.53/0.79  % (3065700)------------------------------
% 2.53/0.79  % (3065696)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1928961412:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.53/0.79  % (3065699)Instruction limit reached! 
% 2.53/0.79  % (3065699)------------------------------
% 2.53/0.79  % (3065699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.79  % (3065699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.79  % (3065699)CaDiCaL version: 2.1.3
% 2.53/0.79  % (3065699)Termination reason: Instruction limit
% 2.53/0.79  % (3065699)Termination phase: Saturation
% 2.53/0.79  % (3065699)Time elapsed: 0.006 s
% 2.53/0.79  % (3065699)Peak memory usage: 12 MB
% 2.53/0.79  % (3065699)Instructions burned: 9 (million)
% 2.53/0.79  % (3065703)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.53/0.79  % (3065707)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=132423862:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.53/0.79  % (3065702)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=3945393164: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)
% 2.53/0.79  % (3065703)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=623759542:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.53/0.79  % (3065702)Refutation not found, incomplete strategy
% 2.53/0.79  % (3065702)------------------------------
% 2.53/0.79  % (3065702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.79  % (3065702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.79  % (3065702)CaDiCaL version: 2.1.3
% 2.53/0.79  % (3065702)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.79  % (3065702)Time elapsed: 0.001 s
% 2.53/0.79  % (3065702)Peak memory usage: 12 MB
% 2.53/0.79  % (3065708)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1869121306:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.53/0.79  % (3065702)------------------------------
% 2.53/0.79  % (3065702)------------------------------
% 2.53/0.79  % (3065703)Refutation not found, incomplete strategy
% 2.53/0.79  % (3065703)------------------------------
% 2.53/0.79  % (3065703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.79  % (3065703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.79  % (3065703)CaDiCaL version: 2.1.3
% 2.53/0.79  % (3065703)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.79  % (3065703)Time elapsed: 0.002 s
% 2.53/0.79  % (3065703)Peak memory usage: 11 MB
% 2.53/0.79  % (3065703)Instructions burned: 1 (million)
% 2.53/0.79  % (3065703)------------------------------
% 3.03/0.86  % (3065703)------------------------------
% 3.03/0.86  % (3065708)Refutation not found, incomplete strategy
% 3.03/0.86  % (3065708)------------------------------
% 3.03/0.86  % (3065708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.86  % (3065708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.86  % (3065708)CaDiCaL version: 2.1.3
% 3.03/0.86  % (3065708)Termination reason: Refutation not found, incomplete strategy
% 3.03/0.86  % (3065708)Time elapsed: 0.005 s
% 3.03/0.86  % (3065708)Peak memory usage: 12 MB
% 3.03/0.86  % (3065708)Instructions burned: 3 (million)
% 3.03/0.86  % (3065708)------------------------------
% 3.03/0.86  % (3065708)------------------------------
% 3.03/0.86  % (3065707)Instruction limit reached! 
% 3.03/0.86  % (3065707)------------------------------
% 3.03/0.86  % (3065707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.86  % (3065707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.86  % (3065707)CaDiCaL version: 2.1.3
% 3.03/0.86  % (3065707)Termination reason: Instruction limit
% 3.03/0.86  % (3065707)Termination phase: Saturation
% 3.03/0.86  % (3065707)Time elapsed: 0.011 s
% 3.03/0.86  % (3065707)Peak memory usage: 12 MB
% 3.03/0.86  % (3065707)Instructions burned: 24 (million)
% 3.03/0.86  % (3065696)Instruction limit reached! 
% 3.03/0.86  % (3065696)------------------------------
% 3.03/0.86  % (3065696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.86  % (3065696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.86  % (3065696)CaDiCaL version: 2.1.3
% 3.03/0.86  % (3065696)Termination reason: Instruction limit
% 3.03/0.86  % (3065696)Termination phase: Saturation
% 3.03/0.86  % (3065696)Time elapsed: 0.037 s
% 3.03/0.86  % (3065696)Peak memory usage: 12 MB
% 3.03/0.86  % (3065696)Instructions burned: 42 (million)
% 3.03/0.86  % (3065713)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=1566047296:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.03/0.86  % (3065716)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1752938473:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.03/0.86  % (3065716)Refutation not found, incomplete strategy
% 3.03/0.86  % (3065716)------------------------------
% 3.03/0.86  % (3065716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.86  % (3065716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.86  % (3065716)CaDiCaL version: 2.1.3
% 3.03/0.86  % (3065716)Termination reason: Refutation not found, incomplete strategy
% 3.03/0.86  % (3065716)Time elapsed: 0.002 s
% 3.03/0.86  % (3065716)Peak memory usage: 12 MB
% 3.03/0.86  % (3065716)Instructions burned: 1 (million)
% 3.03/0.86  % (3065716)------------------------------
% 3.03/0.86  % (3065716)------------------------------
% 3.03/0.86  % (3065714)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=2342839439: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)
% 3.03/0.86  % (3065715)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=504332738: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)
% 3.03/0.86  % (3065720)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.03/0.86  % (3065717)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=251178230: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)
% 3.03/0.86  % (3065720)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1927559263:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.03/0.86  % (3065691)Instruction limit reached! 
% 3.03/0.86  % (3065691)------------------------------
% 3.03/0.86  % (3065691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.03/0.86  % (3065691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/0.86  % (3065691)CaDiCaL version: 2.1.3
% 3.52/0.91  % (3065691)Termination reason: Instruction limit
% 3.52/0.91  % (3065691)Termination phase: Saturation
% 3.52/0.91  % (3065691)Time elapsed: 0.099 s
% 3.52/0.91  % (3065691)Peak memory usage: 12 MB
% 3.52/0.91  % (3065691)Instructions burned: 144 (million)
% 3.52/0.91  % (3065717)Instruction limit reached! 
% 3.52/0.91  % (3065717)------------------------------
% 3.52/0.91  % (3065717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.91  % (3065717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.91  % (3065717)CaDiCaL version: 2.1.3
% 3.52/0.91  % (3065717)Termination reason: Instruction limit
% 3.52/0.91  % (3065717)Termination phase: Saturation
% 3.52/0.91  % (3065717)Time elapsed: 0.020 s
% 3.52/0.91  % (3065717)Peak memory usage: 12 MB
% 3.52/0.91  % (3065717)Instructions burned: 21 (million)
% 3.52/0.91  % (3065715)Instruction limit reached! 
% 3.52/0.91  % (3065715)------------------------------
% 3.52/0.91  % (3065715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.91  % (3065715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.91  % (3065715)CaDiCaL version: 2.1.3
% 3.52/0.91  % (3065715)Termination reason: Instruction limit
% 3.52/0.91  % (3065715)Termination phase: Saturation
% 3.52/0.91  % (3065715)Time elapsed: 0.040 s
% 3.52/0.91  % (3065715)Peak memory usage: 12 MB
% 3.52/0.91  % (3065715)Instructions burned: 45 (million)
% 3.52/0.91  % (3065725)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2138530343:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.52/0.91  % (3065725)Instruction limit reached! 
% 3.52/0.91  % (3065725)------------------------------
% 3.52/0.91  % (3065725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.91  % (3065725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.91  % (3065725)CaDiCaL version: 2.1.3
% 3.52/0.91  % (3065725)Termination reason: Instruction limit
% 3.52/0.91  % (3065725)Termination phase: Saturation
% 3.52/0.91  % (3065725)Time elapsed: 0.014 s
% 3.52/0.91  % (3065725)Peak memory usage: 11 MB
% 3.52/0.91  % (3065725)Instructions burned: 13 (million)
% 3.52/0.91  % (3065726)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=1134163067:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.52/0.91  % (3065727)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2543015198:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.52/0.91  % (3065727)Refutation not found, incomplete strategy
% 3.52/0.91  % (3065727)------------------------------
% 3.52/0.91  % (3065727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.91  % (3065727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.91  % (3065727)CaDiCaL version: 2.1.3
% 3.52/0.91  % (3065727)Termination reason: Refutation not found, incomplete strategy
% 3.52/0.91  % (3065727)Time elapsed: 0.002 s
% 3.52/0.91  % (3065727)Peak memory usage: 12 MB
% 3.52/0.91  % (3065727)Instructions burned: 2 (million)
% 3.52/0.91  % (3065727)------------------------------
% 3.52/0.91  % (3065727)------------------------------
% 3.52/0.91  % (3065732)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1533977520:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.52/0.91  % (3065729)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1338341643:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.52/0.91  % (3065726)Instruction limit reached! 
% 3.52/0.91  % (3065726)------------------------------
% 3.52/0.91  % (3065726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.91  % (3065726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.91  % (3065726)CaDiCaL version: 2.1.3
% 3.52/0.91  % (3065726)Termination reason: Instruction limit
% 3.52/0.91  % (3065726)Termination phase: Saturation
% 3.52/0.91  % (3065726)Time elapsed: 0.049 s
% 3.52/0.91  % (3065726)Peak memory usage: 13 MB
% 3.52/0.91  % (3065726)Instructions burned: 67 (million)
% 3.52/0.91  % (3065713)Instruction limit reached! 
% 3.52/0.91  % (3065713)------------------------------
% 3.52/0.91  % (3065713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.91  % (3065713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.98  % (3065713)CaDiCaL version: 2.1.3
% 3.52/0.98  % (3065713)Termination reason: Instruction limit
% 3.52/0.98  % (3065713)Termination phase: Saturation
% 3.52/0.98  % (3065713)Time elapsed: 0.136 s
% 3.52/0.98  % (3065713)Peak memory usage: 13 MB
% 3.52/0.98  % (3065713)Instructions burned: 323 (million)
% 3.52/0.98  % (3065729)Instruction limit reached! 
% 3.52/0.98  % (3065729)------------------------------
% 3.52/0.98  % (3065729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.98  % (3065729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.98  % (3065729)CaDiCaL version: 2.1.3
% 3.52/0.98  % (3065729)Termination reason: Instruction limit
% 3.52/0.98  % (3065729)Termination phase: Saturation
% 3.52/0.98  % (3065729)Time elapsed: 0.028 s
% 3.52/0.98  % (3065729)Peak memory usage: 12 MB
% 3.52/0.98  % (3065729)Instructions burned: 31 (million)
% 3.52/0.98  % (3065735)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=3334639636:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.52/0.98  % (3065737)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.52/0.98  % (3065737)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1348904346:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.52/0.98  % (3065720)Instruction limit reached! 
% 3.52/0.98  % (3065720)------------------------------
% 3.52/0.98  % (3065720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.98  % (3065720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.98  % (3065720)CaDiCaL version: 2.1.3
% 3.52/0.98  % (3065720)Termination reason: Instruction limit
% 3.52/0.98  % (3065720)Termination phase: Saturation
% 3.52/0.98  % (3065720)Time elapsed: 0.135 s
% 3.52/0.98  % (3065720)Peak memory usage: 12 MB
% 3.52/0.98  % (3065720)Instructions burned: 201 (million)
% 3.52/0.98  % (3065736)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1006863024:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.52/0.98  % (3065735)Instruction limit reached! 
% 3.52/0.98  % (3065735)------------------------------
% 3.52/0.98  % (3065735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.98  % (3065735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.98  % (3065735)CaDiCaL version: 2.1.3
% 3.52/0.98  % (3065735)Termination reason: Instruction limit
% 3.52/0.98  % (3065735)Termination phase: Saturation
% 3.52/0.98  % (3065735)Time elapsed: 0.019 s
% 3.52/0.98  % (3065735)Peak memory usage: 11 MB
% 3.52/0.98  % (3065735)Instructions burned: 36 (million)
% 3.52/0.98  % (3065736)Refutation not found, incomplete strategy
% 3.52/0.98  % (3065736)------------------------------
% 3.52/0.98  % (3065736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.98  % (3065736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.98  % (3065736)CaDiCaL version: 2.1.3
% 3.52/0.98  % (3065736)Termination reason: Refutation not found, incomplete strategy
% 3.52/0.98  % (3065736)Time elapsed: 0.003 s
% 3.52/0.98  % (3065736)Peak memory usage: 12 MB
% 3.52/0.98  % (3065736)Instructions burned: 2 (million)
% 3.52/0.98  % (3065736)------------------------------
% 3.52/0.98  % (3065736)------------------------------
% 3.52/0.98  % (3065743)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=100898365:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.52/0.98  % (3065743)Refutation not found, incomplete strategy
% 3.52/0.98  % (3065743)------------------------------
% 3.52/0.98  % (3065743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.98  % (3065743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.98  % (3065743)CaDiCaL version: 2.1.3
% 3.52/0.98  % (3065743)Termination reason: Refutation not found, incomplete strategy
% 3.52/0.98  % (3065743)Time elapsed: 0.001 s
% 3.52/0.98  % (3065743)Peak memory usage: 12 MB
% 3.52/0.98  % (3065743)Instructions burned: 1 (million)
% 3.52/0.98  % (3065743)------------------------------
% 3.52/0.98  % (3065743)------------------------------
% 3.52/0.98  % (3065740)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2736746416:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.52/0.98  % (3065740)Refutation not found, incomplete strategy
% 3.52/0.98  % (3065740)------------------------------
% 5.22/1.11  % (3065740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11  % (3065740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11  % (3065740)CaDiCaL version: 2.1.3
% 5.22/1.11  % (3065740)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.11  % (3065740)Time elapsed: 0.001 s
% 5.22/1.11  % (3065740)Peak memory usage: 11 MB
% 5.22/1.11  % (3065740)Instructions burned: 1 (million)
% 5.22/1.11  % (3065740)------------------------------
% 5.22/1.11  % (3065740)------------------------------
% 5.22/1.11  % (3065742)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1515612672:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.22/1.11  % (3065745)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=278179317:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.22/1.11  % (3065745)Refutation not found, incomplete strategy
% 5.22/1.11  % (3065745)------------------------------
% 5.22/1.11  % (3065745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11  % (3065745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11  % (3065745)CaDiCaL version: 2.1.3
% 5.22/1.11  % (3065745)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.11  % (3065745)Time elapsed: 0.001 s
% 5.22/1.11  % (3065745)Peak memory usage: 11 MB
% 5.22/1.11  % (3065745)Instructions burned: 1 (million)
% 5.22/1.11  % (3065745)------------------------------
% 5.22/1.11  % (3065745)------------------------------
% 5.22/1.11  % (3065732)Instruction limit reached! 
% 5.22/1.11  % (3065732)------------------------------
% 5.22/1.11  % (3065732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11  % (3065732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11  % (3065732)CaDiCaL version: 2.1.3
% 5.22/1.11  % (3065732)Termination reason: Instruction limit
% 5.22/1.11  % (3065732)Termination phase: Saturation
% 5.22/1.11  % (3065732)Time elapsed: 0.108 s
% 5.22/1.11  % (3065732)Peak memory usage: 13 MB
% 5.22/1.11  % (3065732)Instructions burned: 138 (million)
% 5.22/1.11  % (3065750)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=76695993:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.22/1.11  % (3065750)Refutation not found, incomplete strategy
% 5.22/1.11  % (3065750)------------------------------
% 5.22/1.11  % (3065750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11  % (3065750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11  % (3065750)CaDiCaL version: 2.1.3
% 5.22/1.11  % (3065750)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.11  % (3065750)Time elapsed: 0.001 s
% 5.22/1.11  % (3065750)Peak memory usage: 11 MB
% 5.22/1.11  % (3065750)Instructions burned: 1 (million)
% 5.22/1.11  % (3065750)------------------------------
% 5.22/1.11  % (3065750)------------------------------
% 5.22/1.11  % (3065748)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2983711186:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.22/1.11  % (3065748)Refutation not found, incomplete strategy
% 5.22/1.11  % (3065748)------------------------------
% 5.22/1.11  % (3065748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11  % (3065748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11  % (3065748)CaDiCaL version: 2.1.3
% 5.22/1.11  % (3065748)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.11  % (3065748)Time elapsed: 0.002 s
% 5.22/1.11  % (3065748)Peak memory usage: 12 MB
% 5.22/1.11  % (3065748)Instructions burned: 1 (million)
% 5.22/1.11  % (3065748)------------------------------
% 5.22/1.11  % (3065748)------------------------------
% 5.22/1.11  % (3065751)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3785918052:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.22/1.11  % (3065737)Instruction limit reached! 
% 5.22/1.11  % (3065737)------------------------------
% 5.22/1.11  % (3065737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11  % (3065737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11  % (3065737)CaDiCaL version: 2.1.3
% 5.22/1.11  % (3065737)Termination reason: Instruction limit
% 5.22/1.11  % (3065737)Termination phase: Saturation
% 5.22/1.11  % (3065737)Time elapsed: 0.090 s
% 5.22/1.11  % (3065737)Peak memory usage: 12 MB
% 6.16/1.21  % (3065737)Instructions burned: 180 (million)
% 6.16/1.21  % (3065754)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3041359163:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 6.16/1.21  % (3065755)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1561172161:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 6.16/1.21  % (3065754)Refutation not found, incomplete strategy
% 6.16/1.21  % (3065754)------------------------------
% 6.16/1.21  % (3065754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.21  % (3065754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.21  % (3065754)CaDiCaL version: 2.1.3
% 6.16/1.21  % (3065754)Termination reason: Refutation not found, incomplete strategy
% 6.16/1.21  % (3065754)Time elapsed: 0.002 s
% 6.16/1.21  % (3065754)Peak memory usage: 12 MB
% 6.16/1.21  % (3065754)Instructions burned: 1 (million)
% 6.16/1.21  % (3065757)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3789166315:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 6.16/1.21  % (3065754)------------------------------
% 6.16/1.21  % (3065754)------------------------------
% 6.16/1.21  % (3065751)Instruction limit reached! 
% 6.16/1.21  % (3065751)------------------------------
% 6.16/1.21  % (3065751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.21  % (3065751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.21  % (3065751)CaDiCaL version: 2.1.3
% 6.16/1.21  % (3065751)Termination reason: Instruction limit
% 6.16/1.21  % (3065751)Termination phase: Saturation
% 6.16/1.21  % (3065751)Time elapsed: 0.037 s
% 6.16/1.21  % (3065751)Peak memory usage: 12 MB
% 6.16/1.21  % (3065751)Instructions burned: 45 (million)
% 6.16/1.21  % (3065742)Instruction limit reached! 
% 6.16/1.21  % (3065742)------------------------------
% 6.16/1.21  % (3065742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.21  % (3065742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.21  % (3065742)CaDiCaL version: 2.1.3
% 6.16/1.21  % (3065742)Termination reason: Instruction limit
% 6.16/1.21  % (3065742)Termination phase: Saturation
% 6.16/1.21  % (3065742)Time elapsed: 0.079 s
% 6.16/1.21  % (3065742)Peak memory usage: 12 MB
% 6.16/1.21  % (3065742)Instructions burned: 97 (million)
% 6.16/1.21  % (3065761)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=1043875343:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 6.16/1.21  % (3065762)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=1955558470: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)
% 6.16/1.21  % (3065763)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=1988050521:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 6.16/1.21  % (3065757)Instruction limit reached! 
% 6.16/1.21  % (3065757)------------------------------
% 6.16/1.21  % (3065757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.21  % (3065757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.21  % (3065757)CaDiCaL version: 2.1.3
% 6.16/1.21  % (3065757)Termination reason: Instruction limit
% 6.16/1.21  % (3065757)Termination phase: Saturation
% 6.16/1.21  % (3065757)Time elapsed: 0.047 s
% 6.16/1.21  % (3065757)Peak memory usage: 12 MB
% 6.16/1.21  % (3065757)Instructions burned: 97 (million)
% 6.16/1.21  % (3065761)Instruction limit reached! 
% 6.16/1.21  % (3065761)------------------------------
% 6.16/1.21  % (3065761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.21  % (3065761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.21  % (3065761)CaDiCaL version: 2.1.3
% 6.16/1.21  % (3065761)Termination reason: Instruction limit
% 6.16/1.21  % (3065761)Termination phase: Saturation
% 6.16/1.21  % (3065761)Time elapsed: 0.027 s
% 6.16/1.21  % (3065761)Peak memory usage: 13 MB
% 6.16/1.21  % (3065761)Instructions burned: 69 (million)
% 6.54/1.30  % (3065763)Refutation not found, incomplete strategy
% 6.54/1.30  % (3065763)------------------------------
% 6.54/1.30  % (3065763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.30  % (3065763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.30  % (3065763)CaDiCaL version: 2.1.3
% 6.54/1.30  % (3065763)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.30  % (3065763)Time elapsed: 0.002 s
% 6.54/1.30  % (3065763)Peak memory usage: 12 MB
% 6.54/1.30  % (3065763)Instructions burned: 1 (million)
% 6.54/1.30  % (3065763)------------------------------
% 6.54/1.30  % (3065763)------------------------------
% 6.54/1.30  % (3065768)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3989268417:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 6.54/1.30  % (3065767)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=263574228:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 6.54/1.30  % (3065767)Refutation not found, incomplete strategy
% 6.54/1.30  % (3065767)------------------------------
% 6.54/1.30  % (3065767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.30  % (3065767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.30  % (3065767)CaDiCaL version: 2.1.3
% 6.54/1.30  % (3065767)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.30  % (3065767)Time elapsed: 0.001 s
% 6.54/1.30  % (3065767)Peak memory usage: 11 MB
% 6.54/1.30  % (3065767)------------------------------
% 6.54/1.30  % (3065767)------------------------------
% 6.54/1.30  % (3065769)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=465349473:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 6.54/1.30  % (3065772)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3334891385:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 6.54/1.30  % (3065769)Instruction limit reached! 
% 6.54/1.30  % (3065769)------------------------------
% 6.54/1.30  % (3065769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.30  % (3065769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.30  % (3065769)CaDiCaL version: 2.1.3
% 6.54/1.30  % (3065769)Termination reason: Instruction limit
% 6.54/1.30  % (3065769)Termination phase: Saturation
% 6.54/1.30  % (3065769)Time elapsed: 0.034 s
% 6.54/1.30  % (3065769)Peak memory usage: 12 MB
% 6.54/1.30  % (3065769)Instructions burned: 34 (million)
% 6.54/1.30  % (3065762)Instruction limit reached! 
% 6.54/1.30  % (3065762)------------------------------
% 6.54/1.30  % (3065762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.30  % (3065762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.30  % (3065762)CaDiCaL version: 2.1.3
% 6.54/1.30  % (3065762)Termination reason: Instruction limit
% 6.54/1.30  % (3065762)Termination phase: Saturation
% 6.54/1.30  % (3065762)Time elapsed: 0.094 s
% 6.54/1.30  % (3065762)Peak memory usage: 12 MB
% 6.54/1.30  % (3065762)Instructions burned: 106 (million)
% 6.54/1.30  % (3065775)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2560137875: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)
% 6.54/1.30  % (3065775)Refutation not found, incomplete strategy
% 6.54/1.30  % (3065775)------------------------------
% 6.54/1.30  % (3065775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.30  % (3065775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.30  % (3065775)CaDiCaL version: 2.1.3
% 6.54/1.30  % (3065775)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.30  % (3065775)Time elapsed: 0.001 s
% 6.54/1.30  % (3065775)Peak memory usage: 12 MB
% 6.54/1.30  % (3065775)------------------------------
% 6.54/1.30  % (3065775)------------------------------
% 6.54/1.30  % (3065778)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=2908484234:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.54/1.30  % (3065777)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=485783553:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.95/1.43  % (3065772)Instruction limit reached! 
% 6.95/1.43  % (3065772)------------------------------
% 6.95/1.43  % (3065772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.43  % (3065772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.43  % (3065772)CaDiCaL version: 2.1.3
% 6.95/1.43  % (3065772)Termination reason: Instruction limit
% 6.95/1.43  % (3065772)Termination phase: Saturation
% 6.95/1.43  % (3065772)Time elapsed: 0.070 s
% 6.95/1.43  % (3065772)Peak memory usage: 12 MB
% 6.95/1.43  % (3065772)Instructions burned: 92 (million)
% 6.95/1.43  % (3065777)Instruction limit reached! 
% 6.95/1.43  % (3065777)------------------------------
% 6.95/1.43  % (3065777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.43  % (3065777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.43  % (3065777)CaDiCaL version: 2.1.3
% 6.95/1.43  % (3065777)Termination reason: Instruction limit
% 6.95/1.43  % (3065777)Termination phase: Saturation
% 6.95/1.43  % (3065777)Time elapsed: 0.022 s
% 6.95/1.43  % (3065777)Peak memory usage: 12 MB
% 6.95/1.43  % (3065777)Instructions burned: 22 (million)
% 6.95/1.43  % (3065781)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2463445522:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.95/1.43  % (3065781)Refutation not found, incomplete strategy
% 6.95/1.43  % (3065781)------------------------------
% 6.95/1.43  % (3065781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.43  % (3065781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.43  % (3065781)CaDiCaL version: 2.1.3
% 6.95/1.43  % (3065781)Termination reason: Refutation not found, incomplete strategy
% 6.95/1.43  % (3065781)Time elapsed: 0.002 s
% 6.95/1.43  % (3065781)Peak memory usage: 12 MB
% 6.95/1.43  % (3065781)Instructions burned: 1 (million)
% 6.95/1.43  % (3065781)------------------------------
% 6.95/1.43  % (3065781)------------------------------
% 6.95/1.43  % (3065782)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.95/1.43  % (3065782)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3422350190: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)
% 6.95/1.43  % (3065714)Instruction limit reached! 
% 6.95/1.43  % (3065714)------------------------------
% 6.95/1.43  % (3065714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.43  % (3065714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.43  % (3065714)CaDiCaL version: 2.1.3
% 6.95/1.43  % (3065714)Termination reason: Instruction limit
% 6.95/1.43  % (3065714)Termination phase: Saturation
% 6.95/1.43  % (3065714)Time elapsed: 0.506 s
% 6.95/1.43  % (3065714)Peak memory usage: 14 MB
% 6.95/1.43  % (3065714)Instructions burned: 853 (million)
% 6.95/1.43  % (3065784)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=1102079525:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.95/1.43  % (3065755)Instruction limit reached! 
% 6.95/1.43  % (3065755)------------------------------
% 6.95/1.43  % (3065755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.43  % (3065755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.43  % (3065755)CaDiCaL version: 2.1.3
% 6.95/1.43  % (3065755)Termination reason: Instruction limit
% 6.95/1.43  % (3065755)Termination phase: Saturation
% 6.95/1.43  % (3065755)Time elapsed: 0.265 s
% 6.95/1.43  % (3065755)Peak memory usage: 12 MB
% 6.95/1.43  % (3065755)Instructions burned: 451 (million)
% 6.95/1.43  % (3065768)Instruction limit reached! 
% 6.95/1.43  % (3065768)------------------------------
% 6.95/1.43  % (3065768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/1.43  % (3065768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/1.43  % (3065768)CaDiCaL version: 2.1.3
% 6.95/1.43  % (3065768)Termination reason: Instruction limit
% 6.95/1.43  % (3065768)Termination phase: Saturation
% 6.95/1.43  % (3065768)Time elapsed: 0.205 s
% 6.95/1.43  % (3065768)Peak memory usage: 14 MB
% 6.95/1.43  % (3065768)Instructions burned: 496 (million)
% 6.95/1.43  % (3065786)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3197958817:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 7.74/1.50  % (3065786)Refutation not found, incomplete strategy
% 7.74/1.50  % (3065786)------------------------------
% 7.74/1.50  % (3065786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.50  % (3065786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.50  % (3065786)CaDiCaL version: 2.1.3
% 7.74/1.50  % (3065786)Termination reason: Refutation not found, incomplete strategy
% 7.74/1.50  % (3065786)Time elapsed: 0.001 s
% 7.74/1.50  % (3065786)Peak memory usage: 11 MB
% 7.74/1.50  % (3065786)------------------------------
% 7.74/1.50  % (3065786)------------------------------
% 7.74/1.50  % (3065788)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.74/1.50  % (3065789)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=244627766:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 7.74/1.50  % (3065788)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1006310162:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 7.74/1.50  % (3065791)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2745159940:i=575:rtra=on_2991 on theBenchmark for (2991ds/575Mi)
% 7.74/1.50  % (3065791)Refutation not found, incomplete strategy
% 7.74/1.50  % (3065791)------------------------------
% 7.74/1.50  % (3065791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.50  % (3065791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.50  % (3065791)CaDiCaL version: 2.1.3
% 7.74/1.50  % (3065791)Termination reason: Refutation not found, incomplete strategy
% 7.74/1.50  % (3065791)Time elapsed: 0.001 s
% 7.74/1.50  % (3065791)Peak memory usage: 12 MB
% 7.74/1.50  % (3065791)Instructions burned: 2 (million)
% 7.74/1.50  % (3065791)------------------------------
% 7.74/1.50  % (3065791)------------------------------
% 7.74/1.50  % (3065782)Instruction limit reached! 
% 7.74/1.50  % (3065782)------------------------------
% 7.74/1.50  % (3065782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.50  % (3065782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.50  % (3065782)CaDiCaL version: 2.1.3
% 7.74/1.50  % (3065782)Termination reason: Instruction limit
% 7.74/1.50  % (3065782)Termination phase: Saturation
% 7.74/1.50  % (3065782)Time elapsed: 0.099 s
% 7.74/1.50  % (3065782)Peak memory usage: 12 MB
% 7.74/1.50  % (3065782)Instructions burned: 138 (million)
% 7.74/1.50  % (3065795)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1055171941: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)
% 7.74/1.50  % (3065789)Instruction limit reached! 
% 7.74/1.50  % (3065789)------------------------------
% 7.74/1.50  % (3065789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.50  % (3065789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.50  % (3065789)CaDiCaL version: 2.1.3
% 7.74/1.50  % (3065789)Termination reason: Instruction limit
% 7.74/1.50  % (3065789)Termination phase: Saturation
% 7.74/1.50  % (3065789)Time elapsed: 0.055 s
% 7.74/1.50  % (3065789)Peak memory usage: 13 MB
% 7.74/1.50  % (3065789)Instructions burned: 118 (million)
% 7.74/1.50  % (3065796)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=2533756977: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)
% 7.74/1.50  % (3065798)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=315746173:i=421:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/421Mi)
% 7.74/1.50  % (3065798)Refutation not found, incomplete strategy
% 7.74/1.50  % (3065798)------------------------------
% 7.74/1.50  % (3065798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.50  % (3065798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.50  % (3065798)CaDiCaL version: 2.1.3
% 7.74/1.50  % (3065798)Termination reason: Refutation not found, incomplete strategy
% 7.74/1.50  % (3065798)Time elapsed: 0.001 s
% 7.74/1.50  % (3065798)Peak memory usage: 11 MB
% 7.74/1.55  % (3065798)Instructions burned: 1 (million)
% 7.74/1.55  % (3065798)------------------------------
% 7.74/1.55  % (3065798)------------------------------
% 7.74/1.55  % (3065801)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
% 7.74/1.55  % (3065801)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=4199019680:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.74/1.55  % (3065778)Instruction limit reached! 
% 7.74/1.55  % (3065778)------------------------------
% 7.74/1.55  % (3065778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.55  % (3065778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.55  % (3065778)CaDiCaL version: 2.1.3
% 7.74/1.55  % (3065778)Termination reason: Instruction limit
% 7.74/1.55  % (3065778)Termination phase: Saturation
% 7.74/1.55  % (3065778)Time elapsed: 0.253 s
% 7.74/1.55  % (3065778)Peak memory usage: 13 MB
% 7.74/1.55  % (3065778)Instructions burned: 338 (million)
% 7.74/1.55  % (3065690)Instruction limit reached! 
% 7.74/1.55  % (3065690)------------------------------
% 7.74/1.55  % (3065690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.55  % (3065690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.55  % (3065690)CaDiCaL version: 2.1.3
% 7.74/1.55  % (3065690)Termination reason: Instruction limit
% 7.74/1.55  % (3065690)Termination phase: Saturation
% 7.74/1.55  % (3065690)Time elapsed: 0.774 s
% 7.74/1.55  % (3065690)Peak memory usage: 13 MB
% 7.74/1.55  % (3065690)Instructions burned: 1240 (million)
% 7.74/1.55  % (3065803)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2670739460:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.74/1.55  % (3065803)Instruction limit reached! 
% 7.74/1.55  % (3065803)------------------------------
% 7.74/1.55  % (3065803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.55  % (3065803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.55  % (3065803)CaDiCaL version: 2.1.3
% 7.74/1.55  % (3065803)Termination reason: Instruction limit
% 7.74/1.55  % (3065803)Termination phase: Saturation
% 7.74/1.55  % (3065803)Time elapsed: 0.015 s
% 7.74/1.55  % (3065803)Peak memory usage: 12 MB
% 7.74/1.55  % (3065803)Instructions burned: 33 (million)
% 7.74/1.55  % (3065804)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.74/1.55  % (3065804)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
% 7.74/1.55  % (3065804)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=3081557098:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.74/1.55  % (3065806)dis+10_2_sil=128000:si=on:random_seed=1052477143:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2989 on theBenchmark for (2989ds/339Mi)
% 7.74/1.55  % (3065806)Refutation not found, incomplete strategy
% 7.74/1.55  % (3065806)------------------------------
% 7.74/1.55  % (3065806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.55  % (3065806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.55  % (3065806)CaDiCaL version: 2.1.3
% 7.74/1.55  % (3065806)Termination reason: Refutation not found, incomplete strategy
% 7.74/1.55  % (3065806)Time elapsed: 0.001 s
% 7.74/1.55  % (3065806)Peak memory usage: 11 MB
% 7.74/1.55  % (3065806)------------------------------
% 7.74/1.55  % (3065806)------------------------------
% 7.74/1.55  % (3065801)Instruction limit reached! 
% 7.74/1.55  % (3065801)------------------------------
% 7.74/1.55  % (3065801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.55  % (3065801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.55  % (3065801)CaDiCaL version: 2.1.3
% 7.74/1.55  % (3065801)Termination reason: Instruction limit
% 7.74/1.55  % (3065801)Termination phase: Saturation
% 7.74/1.55  % (3065801)Time elapsed: 0.104 s
% 7.74/1.55  % (3065801)Peak memory usage: 13 MB
% 8.34/1.66  % (3065801)Instructions burned: 272 (million)
% 8.34/1.66  % (3065809)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=788414989:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.34/1.66  % (3065784)Instruction limit reached! 
% 8.34/1.66  % (3065784)------------------------------
% 8.34/1.66  % (3065784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.34/1.66  % (3065784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/1.66  % (3065784)CaDiCaL version: 2.1.3
% 8.34/1.66  % (3065784)Termination reason: Instruction limit
% 8.34/1.66  % (3065784)Termination phase: Saturation
% 8.34/1.66  % (3065784)Time elapsed: 0.265 s
% 8.34/1.66  % (3065784)Peak memory usage: 13 MB
% 8.34/1.66  % (3065784)Instructions burned: 340 (million)
% 8.34/1.66  % (3065810)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=579274060: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)
% 8.34/1.66  % (3065810)Refutation not found, incomplete strategy
% 8.34/1.66  % (3065810)------------------------------
% 8.34/1.66  % (3065810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.34/1.66  % (3065810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/1.66  % (3065810)CaDiCaL version: 2.1.3
% 8.34/1.66  % (3065810)Termination reason: Refutation not found, incomplete strategy
% 8.34/1.66  % (3065810)Time elapsed: 0.001 s
% 8.34/1.66  % (3065810)Peak memory usage: 11 MB
% 8.34/1.66  % (3065810)Instructions burned: 1 (million)
% 8.34/1.66  % (3065810)------------------------------
% 8.34/1.66  % (3065810)------------------------------
% 8.34/1.66  % (3065812)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=2772445002:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.34/1.66  % (3065812)Refutation not found, incomplete strategy
% 8.34/1.66  % (3065812)------------------------------
% 8.34/1.66  % (3065812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.34/1.66  % (3065812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/1.66  % (3065812)CaDiCaL version: 2.1.3
% 8.34/1.66  % (3065812)Termination reason: Refutation not found, incomplete strategy
% 8.34/1.66  % (3065812)Time elapsed: 0.003 s
% 8.34/1.66  % (3065812)Peak memory usage: 12 MB
% 8.34/1.66  % (3065812)Instructions burned: 2 (million)
% 8.34/1.66  % (3065812)------------------------------
% 8.34/1.66  % (3065812)------------------------------
% 8.34/1.66  % (3065795)Instruction limit reached! 
% 8.34/1.66  % (3065795)------------------------------
% 8.34/1.66  % (3065795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.34/1.66  % (3065795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/1.66  % (3065795)CaDiCaL version: 2.1.3
% 8.34/1.66  % (3065795)Termination reason: Instruction limit
% 8.34/1.66  % (3065795)Termination phase: Saturation
% 8.34/1.66  % (3065795)Time elapsed: 0.224 s
% 8.34/1.66  % (3065795)Peak memory usage: 12 MB
% 8.34/1.66  % (3065795)Instructions burned: 275 (million)
% 8.34/1.66  % (3065814)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3120291765:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.34/1.66  % (3065809)Instruction limit reached! 
% 8.34/1.66  % (3065809)------------------------------
% 8.34/1.66  % (3065809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.34/1.66  % (3065809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/1.66  % (3065809)CaDiCaL version: 2.1.3
% 8.34/1.66  % (3065809)Termination reason: Instruction limit
% 8.34/1.66  % (3065809)Termination phase: Saturation
% 8.34/1.66  % (3065809)Time elapsed: 0.058 s
% 8.34/1.66  % (3065809)Peak memory usage: 12 MB
% 8.34/1.66  % (3065809)Instructions burned: 111 (million)
% 8.34/1.66  % (3065814)Refutation not found, incomplete strategy
% 8.34/1.66  % (3065814)------------------------------
% 8.34/1.66  % (3065814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.34/1.66  % (3065814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/1.66  % (3065814)CaDiCaL version: 2.1.3
% 8.34/1.66  % (3065814)Termination reason: Refutation not found, incomplete strategy
% 8.34/1.66  % (3065814)Time elapsed: 0.001 s
% 9.20/1.81  % (3065814)Peak memory usage: 11 MB
% 9.20/1.81  % (3065814)------------------------------
% 9.20/1.81  % (3065814)------------------------------
% 9.20/1.81  % (3065816)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=2120826529:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 9.20/1.81  % (3065816)Refutation not found, incomplete strategy
% 9.20/1.81  % (3065816)------------------------------
% 9.20/1.81  % (3065816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81  % (3065816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81  % (3065816)CaDiCaL version: 2.1.3
% 9.20/1.81  % (3065816)Termination reason: Refutation not found, incomplete strategy
% 9.20/1.81  % (3065816)Time elapsed: 0.002 s
% 9.20/1.81  % (3065816)Peak memory usage: 12 MB
% 9.20/1.81  % (3065816)Instructions burned: 3 (million)
% 9.20/1.81  % (3065816)------------------------------
% 9.20/1.81  % (3065816)------------------------------
% 9.20/1.81  % (3065817)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.20/1.81  % (3065819)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=944780106:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 9.20/1.81  % (3065817)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=1782207953:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 9.20/1.81  % (3065819)Refutation not found, incomplete strategy
% 9.20/1.81  % (3065819)------------------------------
% 9.20/1.81  % (3065819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81  % (3065819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81  % (3065819)CaDiCaL version: 2.1.3
% 9.20/1.81  % (3065819)Termination reason: Refutation not found, incomplete strategy
% 9.20/1.81  % (3065819)Time elapsed: 0.004 s
% 9.20/1.81  % (3065819)Peak memory usage: 12 MB
% 9.20/1.81  % (3065819)Instructions burned: 3 (million)
% 9.20/1.81  % (3065819)------------------------------
% 9.20/1.81  % (3065819)------------------------------
% 9.20/1.81  % (3065788)Instruction limit reached! 
% 9.20/1.81  % (3065788)------------------------------
% 9.20/1.81  % (3065788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81  % (3065788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81  % (3065788)CaDiCaL version: 2.1.3
% 9.20/1.81  % (3065788)Termination reason: Instruction limit
% 9.20/1.81  % (3065788)Termination phase: Saturation
% 9.20/1.81  % (3065788)Time elapsed: 0.313 s
% 9.20/1.81  % (3065788)Peak memory usage: 12 MB
% 9.20/1.81  % (3065788)Instructions burned: 373 (million)
% 9.20/1.81  % (3065820)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=2017469146:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 9.20/1.81  % (3065822)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2334729426:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 9.20/1.81  % (3065822)Refutation not found, incomplete strategy
% 9.20/1.81  % (3065822)------------------------------
% 9.20/1.81  % (3065822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81  % (3065822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81  % (3065822)CaDiCaL version: 2.1.3
% 9.20/1.81  % (3065822)Termination reason: Refutation not found, incomplete strategy
% 9.20/1.81  % (3065822)Time elapsed: 0.001 s
% 9.20/1.81  % (3065822)Peak memory usage: 11 MB
% 9.20/1.81  % (3065822)Instructions burned: 1 (million)
% 9.20/1.81  % (3065822)------------------------------
% 9.20/1.81  % (3065822)------------------------------
% 9.20/1.81  % (3065825)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=665207346:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.20/1.81  % (3065825)Refutation not found, incomplete strategy
% 9.20/1.81  % (3065825)------------------------------
% 9.20/1.81  % (3065825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81  % (3065825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81  % (3065825)CaDiCaL version: 2.1.3
% 13.08/2.20  % (3065825)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.20  % (3065825)Time elapsed: 0.001 s
% 13.08/2.20  % (3065825)Peak memory usage: 11 MB
% 13.08/2.20  % (3065825)------------------------------
% 13.08/2.20  % (3065825)------------------------------
% 13.08/2.20  % (3065829)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=927359495:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 13.08/2.20  % (3065828)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3703990257:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 13.08/2.20  % (3065831)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2608294325:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 13.08/2.20  % (3065828)Refutation not found, incomplete strategy
% 13.08/2.20  % (3065828)------------------------------
% 13.08/2.20  % (3065828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.20  % (3065828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.20  % (3065828)CaDiCaL version: 2.1.3
% 13.08/2.20  % (3065828)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.20  % (3065828)Time elapsed: 0.002 s
% 13.08/2.20  % (3065828)Peak memory usage: 11 MB
% 13.08/2.20  % (3065828)Instructions burned: 1 (million)
% 13.08/2.20  % (3065828)------------------------------
% 13.08/2.20  % (3065828)------------------------------
% 13.08/2.20  % (3065831)Instruction limit reached! 
% 13.08/2.20  % (3065831)------------------------------
% 13.08/2.20  % (3065831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.20  % (3065831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.20  % (3065831)CaDiCaL version: 2.1.3
% 13.08/2.20  % (3065831)Termination reason: Instruction limit
% 13.08/2.20  % (3065831)Termination phase: Saturation
% 13.08/2.20  % (3065831)Time elapsed: 0.036 s
% 13.08/2.20  % (3065831)Peak memory usage: 12 MB
% 13.08/2.20  % (3065831)Instructions burned: 78 (million)
% 13.08/2.20  % (3065835)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3080704511:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 13.08/2.20  % (3065835)Refutation not found, incomplete strategy
% 13.08/2.20  % (3065835)------------------------------
% 13.08/2.20  % (3065835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.20  % (3065835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.20  % (3065835)CaDiCaL version: 2.1.3
% 13.08/2.20  % (3065835)Termination reason: Refutation not found, incomplete strategy
% 13.08/2.20  % (3065835)Time elapsed: 0.002 s
% 13.08/2.20  % (3065835)Peak memory usage: 11 MB
% 13.08/2.20  % (3065835)Instructions burned: 1 (million)
% 13.08/2.20  % (3065835)------------------------------
% 13.08/2.20  % (3065835)------------------------------
% 13.08/2.20  % (3065829)Instruction limit reached! 
% 13.08/2.20  % (3065829)------------------------------
% 13.08/2.20  % (3065829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.20  % (3065829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.20  % (3065829)CaDiCaL version: 2.1.3
% 13.08/2.20  % (3065829)Termination reason: Instruction limit
% 13.08/2.20  % (3065829)Termination phase: Saturation
% 13.08/2.20  % (3065829)Time elapsed: 0.067 s
% 13.08/2.20  % (3065829)Peak memory usage: 12 MB
% 13.08/2.20  % (3065829)Instructions burned: 154 (million)
% 13.08/2.20  % (3065836)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=4091778485:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 13.08/2.20  % (3065839)lrs+10_1_sil=128000:si=on:random_seed=3444123282:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/888Mi)
% 13.08/2.20  % (3065838)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3021732952:i=161:piset=and:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/161Mi)
% 13.08/2.20  % (3065839)Refutation not found, incomplete strategy
% 13.08/2.20  % (3065839)------------------------------
% 13.08/2.20  % (3065839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.08/2.20  % (3065839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.20  % (3065839)CaDiCaL version: 2.1.3
% 13.08/2.20  % (3065839)Termination reason: Refutation not found, incomplete strategy
% 14.15/2.44  % (3065839)Time elapsed: 0.001 s
% 14.15/2.44  % (3065839)Peak memory usage: 11 MB
% 14.15/2.44  % (3065839)Instructions burned: 1 (million)
% 14.15/2.44  % (3065839)------------------------------
% 14.15/2.44  % (3065839)------------------------------
% 14.15/2.44  % (3065843)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=2878550715:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 14.15/2.44  % (3065843)Refutation not found, incomplete strategy
% 14.15/2.44  % (3065843)------------------------------
% 14.15/2.44  % (3065843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.15/2.44  % (3065843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.44  % (3065843)CaDiCaL version: 2.1.3
% 14.15/2.44  % (3065843)Termination reason: Refutation not found, incomplete strategy
% 14.15/2.44  % (3065843)Time elapsed: 0.002 s
% 14.15/2.44  % (3065843)Peak memory usage: 12 MB
% 14.15/2.44  % (3065843)Instructions burned: 2 (million)
% 14.15/2.44  % (3065843)------------------------------
% 14.15/2.44  % (3065843)------------------------------
% 14.15/2.44  % (3065845)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=195487333:i=88:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/88Mi)
% 14.15/2.44  % (3065845)Instruction limit reached! 
% 14.15/2.44  % (3065845)------------------------------
% 14.15/2.44  % (3065845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.15/2.44  % (3065845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.44  % (3065845)CaDiCaL version: 2.1.3
% 14.15/2.44  % (3065845)Termination reason: Instruction limit
% 14.15/2.44  % (3065845)Termination phase: Saturation
% 14.15/2.44  % (3065845)Time elapsed: 0.036 s
% 14.15/2.44  % (3065845)Peak memory usage: 12 MB
% 14.15/2.44  % (3065845)Instructions burned: 90 (million)
% 14.15/2.44  % (3065838)Instruction limit reached! 
% 14.15/2.44  % (3065838)------------------------------
% 14.15/2.44  % (3065838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.15/2.44  % (3065838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.44  % (3065838)CaDiCaL version: 2.1.3
% 14.15/2.44  % (3065838)Termination reason: Instruction limit
% 14.15/2.44  % (3065838)Termination phase: Saturation
% 14.15/2.44  % (3065838)Time elapsed: 0.101 s
% 14.15/2.44  % (3065838)Peak memory usage: 12 MB
% 14.15/2.44  % (3065838)Instructions burned: 161 (million)
% 14.15/2.44  % (3065847)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=916593692:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2985 on theBenchmark for (2985ds/93Mi)
% 14.15/2.44  % (3065836)Instruction limit reached! 
% 14.15/2.44  % (3065836)------------------------------
% 14.15/2.44  % (3065836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.15/2.44  % (3065836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.44  % (3065836)CaDiCaL version: 2.1.3
% 14.15/2.44  % (3065836)Termination reason: Instruction limit
% 14.15/2.44  % (3065836)Termination phase: Saturation
% 14.15/2.44  % (3065836)Time elapsed: 0.123 s
% 14.15/2.44  % (3065836)Peak memory usage: 12 MB
% 14.15/2.44  % (3065836)Instructions burned: 148 (million)
% 14.15/2.44  % (3065848)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2608928618:i=2186:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/2186Mi)
% 14.15/2.44  % (3065817)Instruction limit reached! 
% 14.15/2.44  % (3065817)------------------------------
% 14.15/2.44  % (3065817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.15/2.44  % (3065817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.44  % (3065817)CaDiCaL version: 2.1.3
% 14.15/2.44  % (3065817)Termination reason: Instruction limit
% 14.15/2.44  % (3065817)Termination phase: Saturation
% 14.15/2.44  % (3065817)Time elapsed: 0.251 s
% 14.15/2.44  % (3065817)Peak memory usage: 13 MB
% 14.15/2.44  % (3065817)Instructions burned: 281 (million)
% 14.15/2.44  % (3065850)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3927998816:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 14.15/2.44  % (3065847)Instruction limit reached! 
% 14.15/2.44  % (3065847)------------------------------
% 14.15/2.44  % (3065847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.15/2.44  % (3065847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.58  % (3065847)CaDiCaL version: 2.1.3
% 14.48/2.58  % (3065847)Termination reason: Instruction limit
% 14.48/2.58  % (3065847)Termination phase: Saturation
% 14.48/2.58  % (3065847)Time elapsed: 0.055 s
% 14.48/2.58  % (3065847)Peak memory usage: 12 MB
% 14.48/2.58  % (3065847)Instructions burned: 94 (million)
% 14.48/2.58  % (3065852)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=412208158:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/805Mi)
% 14.48/2.58  % (3065854)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 14.48/2.58  % (3065854)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=1132388679:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2985 on theBenchmark for (2985ds/391Mi)
% 14.48/2.58  % (3065854)Refutation not found, incomplete strategy
% 14.48/2.58  % (3065854)------------------------------
% 14.48/2.58  % (3065854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.58  % (3065854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.58  % (3065854)CaDiCaL version: 2.1.3
% 14.48/2.58  % (3065854)Termination reason: Refutation not found, incomplete strategy
% 14.48/2.58  % (3065854)Time elapsed: 0.001 s
% 14.48/2.58  % (3065854)Peak memory usage: 11 MB
% 14.48/2.58  % (3065854)Instructions burned: 1 (million)
% 14.48/2.58  % (3065854)------------------------------
% 14.48/2.58  % (3065854)------------------------------
% 14.48/2.58  % (3065857)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=121897329:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 14.48/2.58  % (3065850)Instruction limit reached! 
% 14.48/2.58  % (3065850)------------------------------
% 14.48/2.58  % (3065850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.58  % (3065850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.58  % (3065850)CaDiCaL version: 2.1.3
% 14.48/2.58  % (3065850)Termination reason: Instruction limit
% 14.48/2.58  % (3065850)Termination phase: Saturation
% 14.48/2.58  % (3065850)Time elapsed: 0.167 s
% 14.48/2.58  % (3065850)Peak memory usage: 13 MB
% 14.48/2.58  % (3065850)Instructions burned: 242 (million)
% 14.48/2.58  % (3065859)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3887407686:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/314Mi)
% 14.48/2.58  % (3065859)Refutation not found, incomplete strategy
% 14.48/2.58  % (3065859)------------------------------
% 14.48/2.58  % (3065859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.58  % (3065859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.58  % (3065859)CaDiCaL version: 2.1.3
% 14.48/2.58  % (3065859)Termination reason: Refutation not found, incomplete strategy
% 14.48/2.58  % (3065859)Time elapsed: 0.002 s
% 14.48/2.58  % (3065859)Peak memory usage: 12 MB
% 14.48/2.58  % (3065859)------------------------------
% 14.48/2.58  % (3065859)------------------------------
% 14.48/2.58  % (3065861)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=9394186:s2a=on:i=251:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/251Mi)
% 14.48/2.58  % (3065857)Instruction limit reached! 
% 14.48/2.58  % (3065857)------------------------------
% 14.48/2.58  % (3065857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.58  % (3065857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.58  % (3065857)CaDiCaL version: 2.1.3
% 14.48/2.58  % (3065857)Termination reason: Instruction limit
% 14.48/2.58  % (3065857)Termination phase: Saturation
% 14.48/2.58  % (3065857)Time elapsed: 0.210 s
% 14.48/2.58  % (3065857)Peak memory usage: 12 MB
% 14.48/2.58  % (3065857)Instructions burned: 355 (million)
% 14.48/2.58  % (3065863)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=2826207818: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)
% 14.48/2.58  % (3065820)Instruction limit reached! 
% 14.48/2.58  % (3065820)------------------------------
% 14.48/2.58  % (3065820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.69  % (3065820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.69  % (3065820)CaDiCaL version: 2.1.3
% 14.89/2.69  % (3065820)Termination reason: Instruction limit
% 14.89/2.69  % (3065820)Termination phase: Saturation
% 14.89/2.69  % (3065820)Time elapsed: 0.661 s
% 14.89/2.69  % (3065820)Peak memory usage: 15 MB
% 14.89/2.69  % (3065820)Instructions burned: 866 (million)
% 14.89/2.69  % (3065866)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3321858121:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2981 on theBenchmark for (2981ds/673Mi)
% 14.89/2.69  % (3065861)Instruction limit reached! 
% 14.89/2.69  % (3065861)------------------------------
% 14.89/2.69  % (3065861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.69  % (3065861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.69  % (3065861)CaDiCaL version: 2.1.3
% 14.89/2.69  % (3065861)Termination reason: Instruction limit
% 14.89/2.69  % (3065861)Termination phase: Saturation
% 14.89/2.69  % (3065861)Time elapsed: 0.201 s
% 14.89/2.69  % (3065861)Peak memory usage: 13 MB
% 14.89/2.69  % (3065861)Instructions burned: 251 (million)
% 14.89/2.69  % (3065804)Instruction limit reached! 
% 14.89/2.69  % (3065804)------------------------------
% 14.89/2.69  % (3065804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.69  % (3065804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.69  % (3065804)CaDiCaL version: 2.1.3
% 14.89/2.69  % (3065804)Termination reason: Instruction limit
% 14.89/2.69  % (3065804)Termination phase: Saturation
% 14.89/2.69  % (3065804)Time elapsed: 0.869 s
% 14.89/2.69  % (3065804)Peak memory usage: 13 MB
% 14.89/2.69  % (3065804)Instructions burned: 1442 (million)
% 14.89/2.69  % (3065868)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1594161931:i=116:ep=RSTC:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/116Mi)
% 14.89/2.69  % (3065869)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1423131757: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)
% 14.89/2.69  % (3065868)Instruction limit reached! 
% 14.89/2.69  % (3065868)------------------------------
% 14.89/2.69  % (3065868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.69  % (3065868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.69  % (3065868)CaDiCaL version: 2.1.3
% 14.89/2.69  % (3065868)Termination reason: Instruction limit
% 14.89/2.69  % (3065868)Termination phase: Saturation
% 14.89/2.69  % (3065868)Time elapsed: 0.083 s
% 14.89/2.69  % (3065868)Peak memory usage: 13 MB
% 14.89/2.69  % (3065868)Instructions burned: 116 (million)
% 14.89/2.69  % (3065872)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=574129249: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_2979 on theBenchmark for (2979ds/30Mi)
% 14.89/2.69  % (3065852)Instruction limit reached! 
% 14.89/2.69  % (3065852)------------------------------
% 14.89/2.69  % (3065852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.69  % (3065852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.69  % (3065852)CaDiCaL version: 2.1.3
% 14.89/2.69  % (3065852)Termination reason: Instruction limit
% 14.89/2.69  % (3065852)Termination phase: Saturation
% 14.89/2.69  % (3065852)Time elapsed: 0.583 s
% 14.89/2.69  % (3065852)Peak memory usage: 13 MB
% 14.89/2.69  % (3065852)Instructions burned: 806 (million)
% 14.89/2.69  % (3065872)Instruction limit reached! 
% 14.89/2.69  % (3065872)------------------------------
% 14.89/2.69  % (3065872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.69  % (3065872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.69  % (3065872)CaDiCaL version: 2.1.3
% 14.89/2.69  % (3065872)Termination reason: Instruction limit
% 14.89/2.69  % (3065872)Termination phase: Saturation
% 14.89/2.69  % (3065872)Time elapsed: 0.019 s
% 14.89/2.69  % (3065872)Peak memory usage: 12 MB
% 14.89/2.69  % (3065872)Instructions burned: 30 (million)
% 14.89/2.69  % (3065874)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 14.89/2.69  % (3065874)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1295840672:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 16.36/2.85  % (3065875)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2973469133:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 16.36/2.85  % (3065874)Instruction limit reached! 
% 16.36/2.85  % (3065874)------------------------------
% 16.36/2.85  % (3065874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.36/2.85  % (3065874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.36/2.85  % (3065874)CaDiCaL version: 2.1.3
% 16.36/2.85  % (3065874)Termination reason: Instruction limit
% 16.36/2.85  % (3065874)Termination phase: Saturation
% 16.36/2.85  % (3065874)Time elapsed: 0.037 s
% 16.36/2.85  % (3065874)Peak memory usage: 12 MB
% 16.36/2.85  % (3065874)Instructions burned: 40 (million)
% 16.36/2.85  % (3065848)Instruction limit reached! 
% 16.36/2.85  % (3065848)------------------------------
% 16.36/2.85  % (3065848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.36/2.85  % (3065848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.36/2.85  % (3065848)CaDiCaL version: 2.1.3
% 16.36/2.85  % (3065848)Termination reason: Instruction limit
% 16.36/2.85  % (3065848)Termination phase: Saturation
% 16.36/2.85  % (3065848)Time elapsed: 0.723 s
% 16.36/2.85  % (3065848)Peak memory usage: 13 MB
% 16.36/2.85  % (3065848)Instructions burned: 2188 (million)
% 16.36/2.85  % (3065878)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1456578532:i=158:av=off:rtra=on_2978 on theBenchmark for (2978ds/158Mi)
% 16.36/2.85  % (3065869)Instruction limit reached! 
% 16.36/2.85  % (3065869)------------------------------
% 16.36/2.85  % (3065869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.36/2.85  % (3065869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.36/2.85  % (3065869)CaDiCaL version: 2.1.3
% 16.36/2.85  % (3065869)Termination reason: Instruction limit
% 16.36/2.85  % (3065869)Termination phase: Saturation
% 16.36/2.85  % (3065869)Time elapsed: 0.213 s
% 16.36/2.85  % (3065869)Peak memory usage: 12 MB
% 16.36/2.85  % (3065869)Instructions burned: 270 (million)
% 16.36/2.85  % (3065879)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
% 16.36/2.85  % (3065879)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=2570740140:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 16.36/2.85  % (3065881)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2496467234:i=213:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/213Mi)
% 16.36/2.85  % (3065881)Refutation not found, incomplete strategy
% 16.36/2.85  % (3065881)------------------------------
% 16.36/2.85  % (3065881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.36/2.85  % (3065881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.36/2.85  % (3065881)CaDiCaL version: 2.1.3
% 16.36/2.85  % (3065881)Termination reason: Refutation not found, incomplete strategy
% 16.36/2.85  % (3065881)Time elapsed: 0.001 s
% 16.36/2.85  % (3065881)Peak memory usage: 11 MB
% 16.36/2.85  % (3065881)Instructions burned: 1 (million)
% 16.36/2.85  % (3065881)------------------------------
% 16.36/2.85  % (3065881)------------------------------
% 16.36/2.85  % (3065884)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=3618675686:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/160Mi)
% 16.36/2.85  % (3065884)Refutation not found, incomplete strategy
% 16.36/2.85  % (3065884)------------------------------
% 16.36/2.85  % (3065884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.36/2.85  % (3065884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.36/2.85  % (3065884)CaDiCaL version: 2.1.3
% 16.36/2.85  % (3065884)Termination reason: Refutation not found, incomplete strategy
% 16.36/2.85  % (3065884)Time elapsed: 0.001 s
% 16.36/2.85  % (3065884)Peak memory usage: 11 MB
% 16.36/2.85  % (3065884)Instructions burned: 1 (million)
% 16.36/2.85  % (3065884)------------------------------
% 16.36/2.85  % (3065884)------------------------------
% 16.36/2.85  % (3065886)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3152459478:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/763Mi)
% 16.81/2.98  % (3065879)Instruction limit reached! 
% 16.81/2.98  % (3065879)------------------------------
% 16.81/2.98  % (3065879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.98  % (3065879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.98  % (3065879)CaDiCaL version: 2.1.3
% 16.81/2.98  % (3065879)Termination reason: Instruction limit
% 16.81/2.98  % (3065879)Termination phase: Saturation
% 16.81/2.98  % (3065879)Time elapsed: 0.083 s
% 16.81/2.98  % (3065879)Peak memory usage: 12 MB
% 16.81/2.98  % (3065879)Instructions burned: 254 (million)
% 16.81/2.98  % (3065888)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 16.81/2.98  % (3065888)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=2445851890: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)
% 16.81/2.98  % (3065888)Refutation not found, incomplete strategy
% 16.81/2.98  % (3065888)------------------------------
% 16.81/2.98  % (3065888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.98  % (3065888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.98  % (3065888)CaDiCaL version: 2.1.3
% 16.81/2.98  % (3065888)Termination reason: Refutation not found, incomplete strategy
% 16.81/2.98  % (3065888)Time elapsed: 0.001 s
% 16.81/2.98  % (3065888)Peak memory usage: 11 MB
% 16.81/2.98  % (3065888)------------------------------
% 16.81/2.98  % (3065888)------------------------------
% 16.81/2.98  % (3065878)Instruction limit reached! 
% 16.81/2.98  % (3065878)------------------------------
% 16.81/2.98  % (3065878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.98  % (3065878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.98  % (3065878)CaDiCaL version: 2.1.3
% 16.81/2.98  % (3065878)Termination reason: Instruction limit
% 16.81/2.98  % (3065878)Termination phase: Saturation
% 16.81/2.98  % (3065878)Time elapsed: 0.129 s
% 16.81/2.98  % (3065878)Peak memory usage: 12 MB
% 16.81/2.98  % (3065878)Instructions burned: 158 (million)
% 16.81/2.98  % (3065890)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1244751185:s2a=on:i=386:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/386Mi)
% 16.81/2.98  % (3065875)Instruction limit reached! 
% 16.81/2.98  % (3065875)------------------------------
% 16.81/2.98  % (3065875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.98  % (3065875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.98  % (3065875)CaDiCaL version: 2.1.3
% 16.81/2.98  % (3065875)Termination reason: Instruction limit
% 16.81/2.98  % (3065875)Termination phase: Saturation
% 16.81/2.98  % (3065875)Time elapsed: 0.214 s
% 16.81/2.98  % (3065875)Peak memory usage: 12 MB
% 16.81/2.98  % (3065875)Instructions burned: 366 (million)
% 16.81/2.98  % (3065891)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1253317913:i=300:piset=and:nm=32:rtra=on_2976 on theBenchmark for (2976ds/300Mi)
% 16.81/2.98  % (3065866)Instruction limit reached! 
% 16.81/2.98  % (3065866)------------------------------
% 16.81/2.98  % (3065866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.98  % (3065866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.98  % (3065866)CaDiCaL version: 2.1.3
% 16.81/2.98  % (3065866)Termination reason: Instruction limit
% 16.81/2.98  % (3065866)Termination phase: Saturation
% 16.81/2.98  % (3065866)Time elapsed: 0.439 s
% 16.81/2.98  % (3065866)Peak memory usage: 13 MB
% 16.81/2.98  % (3065866)Instructions burned: 673 (million)
% 16.81/2.98  % (3065893)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2628568773:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 16.81/2.98  % (3065893)Refutation not found, incomplete strategy
% 16.81/2.98  % (3065893)------------------------------
% 16.81/2.98  % (3065893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.98  % (3065893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.98  % (3065893)CaDiCaL version: 2.1.3
% 16.81/2.98  % (3065893)Termination reason: Refutation not found, incomplete strategy
% 19.37/3.13  % (3065893)Time elapsed: 0.002 s
% 19.37/3.13  % (3065893)Peak memory usage: 11 MB
% 19.37/3.13  % (3065893)Instructions burned: 1 (million)
% 19.37/3.13  % (3065893)------------------------------
% 19.37/3.13  % (3065893)------------------------------
% 19.37/3.13  % (3065895)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2666556629:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 19.37/3.13  % (3065895)Refutation not found, incomplete strategy
% 19.37/3.13  % (3065895)------------------------------
% 19.37/3.13  % (3065895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.37/3.13  % (3065895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/3.13  % (3065895)CaDiCaL version: 2.1.3
% 19.37/3.13  % (3065895)Termination reason: Refutation not found, incomplete strategy
% 19.37/3.13  % (3065895)Time elapsed: 0.002 s
% 19.37/3.13  % (3065895)Peak memory usage: 12 MB
% 19.37/3.13  % (3065895)Instructions burned: 1 (million)
% 19.37/3.13  % (3065895)------------------------------
% 19.37/3.13  % (3065895)------------------------------
% 19.37/3.13  % (3065897)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3100561962:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2976 on theBenchmark for (2976ds/429Mi)
% 19.37/3.13  % (3065899)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2037898353:i=478:bd=all:rtra=on_2976 on theBenchmark for (2976ds/478Mi)
% 19.37/3.13  % (3065899)Refutation not found, incomplete strategy
% 19.37/3.13  % (3065899)------------------------------
% 19.37/3.13  % (3065899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.37/3.13  % (3065899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/3.13  % (3065899)CaDiCaL version: 2.1.3
% 19.37/3.13  % (3065899)Termination reason: Refutation not found, incomplete strategy
% 19.37/3.13  % (3065899)Time elapsed: 0.003 s
% 19.37/3.13  % (3065899)Peak memory usage: 12 MB
% 19.37/3.13  % (3065899)Instructions burned: 2 (million)
% 19.37/3.13  % (3065899)------------------------------
% 19.37/3.13  % (3065899)------------------------------
% 19.37/3.13  % (3065891)Instruction limit reached! 
% 19.37/3.13  % (3065891)------------------------------
% 19.37/3.13  % (3065891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.37/3.13  % (3065891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/3.13  % (3065891)CaDiCaL version: 2.1.3
% 19.37/3.13  % (3065891)Termination reason: Instruction limit
% 19.37/3.13  % (3065891)Termination phase: Saturation
% 19.37/3.13  % (3065891)Time elapsed: 0.123 s
% 19.37/3.13  % (3065891)Peak memory usage: 12 MB
% 19.37/3.13  % (3065891)Instructions burned: 303 (million)
% 19.37/3.13  % (3065902)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1473413529:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2975 on theBenchmark for (2975ds/445Mi)
% 19.37/3.13  % (3065903)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=23759855:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2975 on theBenchmark for (2975ds/71Mi)
% 19.37/3.13  % (3065890)Instruction limit reached! 
% 19.37/3.13  % (3065890)------------------------------
% 19.37/3.13  % (3065890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.37/3.13  % (3065890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/3.13  % (3065890)CaDiCaL version: 2.1.3
% 19.37/3.13  % (3065890)Termination reason: Instruction limit
% 19.37/3.13  % (3065890)Termination phase: Saturation
% 19.37/3.13  % (3065890)Time elapsed: 0.184 s
% 19.37/3.13  % (3065890)Peak memory usage: 12 MB
% 19.37/3.13  % (3065890)Instructions burned: 387 (million)
% 19.37/3.13  % (3065906)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=432810736:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/302Mi)
% 19.37/3.13  % (3065906)Refutation not found, incomplete strategy
% 19.37/3.13  % (3065906)------------------------------
% 19.37/3.13  % (3065906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.37/3.13  % (3065906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/3.13  % (3065906)CaDiCaL version: 2.1.3
% 19.37/3.13  % (3065906)Termination reason: Refutation not found, incomplete strategy
% 19.37/3.13  % (3065906)Time elapsed: 0.001 s
% 19.37/3.13  % (3065906)Peak memory usage: 12 MB
% 19.37/3.13  % (3065906)Instructions burned: 1 (million)
% 19.37/3.13  % (3065906)------------------------------
% 19.37/3.13  % (3065906)------------------------------
% 20.05/3.27  % (3065908)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1716714615:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/4980Mi)
% 20.05/3.27  % (3065908)Refutation not found, incomplete strategy
% 20.05/3.27  % (3065908)------------------------------
% 20.05/3.27  % (3065908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.05/3.27  % (3065908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.05/3.27  % (3065908)CaDiCaL version: 2.1.3
% 20.05/3.27  % (3065908)Termination reason: Refutation not found, incomplete strategy
% 20.05/3.27  % (3065908)Time elapsed: 0.001 s
% 20.05/3.27  % (3065908)Peak memory usage: 11 MB
% 20.05/3.27  % (3065908)------------------------------
% 20.05/3.27  % (3065908)------------------------------
% 20.05/3.27  % (3065903)Instruction limit reached! 
% 20.05/3.27  % (3065903)------------------------------
% 20.05/3.27  % (3065903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.05/3.27  % (3065903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.05/3.27  % (3065903)CaDiCaL version: 2.1.3
% 20.05/3.27  % (3065903)Termination reason: Instruction limit
% 20.05/3.27  % (3065903)Termination phase: Saturation
% 20.05/3.27  % (3065903)Time elapsed: 0.063 s
% 20.05/3.27  % (3065903)Peak memory usage: 12 MB
% 20.05/3.27  % (3065903)Instructions burned: 72 (million)
% 20.05/3.27  % (3065910)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
% 20.05/3.27  % (3065910)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.05/3.27  % (3065910)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2106755256:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2974 on theBenchmark for (2974ds/100Mi)
% 20.05/3.27  % (3065911)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=138820908:i=76:piset=equals:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/76Mi)
% 20.05/3.27  % (3065911)Instruction limit reached! 
% 20.05/3.27  % (3065911)------------------------------
% 20.05/3.27  % (3065911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.05/3.27  % (3065911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.05/3.27  % (3065911)CaDiCaL version: 2.1.3
% 20.05/3.27  % (3065911)Termination reason: Instruction limit
% 20.05/3.27  % (3065911)Termination phase: Saturation
% 20.05/3.27  % (3065911)Time elapsed: 0.037 s
% 20.05/3.27  % (3065911)Peak memory usage: 12 MB
% 20.05/3.27  % (3065911)Instructions burned: 77 (million)
% 20.05/3.27  % (3065914)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2682315063:i=289:rtra=on_2973 on theBenchmark for (2973ds/289Mi)
% 20.05/3.27  % (3065914)Refutation not found, incomplete strategy
% 20.05/3.27  % (3065914)------------------------------
% 20.05/3.27  % (3065914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.05/3.27  % (3065914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.05/3.27  % (3065914)CaDiCaL version: 2.1.3
% 20.05/3.27  % (3065914)Termination reason: Refutation not found, incomplete strategy
% 20.05/3.27  % (3065914)Time elapsed: 0.002 s
% 20.05/3.27  % (3065914)Peak memory usage: 12 MB
% 20.05/3.27  % (3065914)Instructions burned: 2 (million)
% 20.05/3.27  % (3065914)------------------------------
% 20.05/3.27  % (3065914)------------------------------
% 20.05/3.27  % (3065910)Instruction limit reached! 
% 20.05/3.27  % (3065910)------------------------------
% 20.05/3.27  % (3065910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.05/3.27  % (3065910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.05/3.27  % (3065910)CaDiCaL version: 2.1.3
% 20.05/3.27  % (3065910)Termination reason: Instruction limit
% 20.05/3.27  % (3065910)Termination phase: Saturation
% 20.05/3.27  % (3065910)Time elapsed: 0.075 s
% 20.05/3.27  % (3065910)Peak memory usage: 12 MB
% 20.05/3.27  % (3065910)Instructions burned: 100 (million)
% 20.05/3.27  % (3065916)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=2292763246:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2973 on theBenchmark for (2973ds/493Mi)
% 20.87/3.54  % (3065917)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=1199007097:cond=on:i=34:hud=10:nm=10:rtra=on_2973 on theBenchmark for (2973ds/34Mi)
% 20.87/3.54  % (3065886)Instruction limit reached! 
% 20.87/3.54  % (3065886)------------------------------
% 20.87/3.54  % (3065886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.87/3.54  % (3065886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.87/3.54  % (3065886)CaDiCaL version: 2.1.3
% 20.87/3.54  % (3065886)Termination reason: Instruction limit
% 20.87/3.54  % (3065886)Termination phase: Saturation
% 20.87/3.54  % (3065886)Time elapsed: 0.440 s
% 20.87/3.54  % (3065886)Peak memory usage: 14 MB
% 20.87/3.54  % (3065886)Instructions burned: 764 (million)
% 20.87/3.54  % (3065917)Instruction limit reached! 
% 20.87/3.54  % (3065917)------------------------------
% 20.87/3.54  % (3065917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.87/3.54  % (3065917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.87/3.54  % (3065917)CaDiCaL version: 2.1.3
% 20.87/3.54  % (3065917)Termination reason: Instruction limit
% 20.87/3.54  % (3065917)Termination phase: Saturation
% 20.87/3.54  % (3065917)Time elapsed: 0.032 s
% 20.87/3.54  % (3065917)Peak memory usage: 12 MB
% 20.87/3.54  % (3065917)Instructions burned: 34 (million)
% 20.87/3.54  % (3065920)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.87/3.54  % (3065920)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=2210642298:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2972 on theBenchmark for (2972ds/372Mi)
% 20.87/3.54  % (3065920)Refutation not found, incomplete strategy
% 20.87/3.54  % (3065920)------------------------------
% 20.87/3.54  % (3065920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.87/3.54  % (3065920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.87/3.54  % (3065920)CaDiCaL version: 2.1.3
% 20.87/3.54  % (3065920)Termination reason: Refutation not found, incomplete strategy
% 20.87/3.54  % (3065920)Time elapsed: 0.002 s
% 20.87/3.54  % (3065920)Peak memory usage: 11 MB
% 20.87/3.54  % (3065920)Instructions burned: 3 (million)
% 20.87/3.54  % (3065920)------------------------------
% 20.87/3.54  % (3065920)------------------------------
% 20.87/3.54  % (3065897)Instruction limit reached! 
% 20.87/3.54  % (3065897)------------------------------
% 20.87/3.54  % (3065897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.87/3.54  % (3065897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.87/3.54  % (3065897)CaDiCaL version: 2.1.3
% 20.87/3.54  % (3065897)Termination reason: Instruction limit
% 20.87/3.54  % (3065897)Termination phase: Saturation
% 20.87/3.54  % (3065897)Time elapsed: 0.347 s
% 20.87/3.54  % (3065897)Peak memory usage: 12 MB
% 20.87/3.54  % (3065897)Instructions burned: 429 (million)
% 20.87/3.54  % (3065921)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=862887246:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2972 on theBenchmark for (2972ds/670Mi)
% 20.87/3.54  % (3065924)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=3695419825:i=857:add=off:kws=frequency:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/857Mi)
% 20.87/3.54  % (3065923)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2010248244:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/647Mi)
% 20.87/3.54  % (3065923)Refutation not found, incomplete strategy
% 20.87/3.54  % (3065923)------------------------------
% 20.87/3.54  % (3065923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.87/3.54  % (3065923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.87/3.54  % (3065923)CaDiCaL version: 2.1.3
% 20.87/3.54  % (3065923)Termination reason: Refutation not found, incomplete strategy
% 20.87/3.54  % (3065923)Time elapsed: 0.001 s
% 20.87/3.54  % (3065923)Peak memory usage: 11 MB
% 20.87/3.54  % (3065923)------------------------------
% 20.87/3.54  % (3065923)------------------------------
% 20.87/3.54  % (3065928)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=213151834:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2972 on theBenchmark for (2972ds/693Mi)
% 22.13/3.67  % (3065902)Instruction limit reached! 
% 22.13/3.67  % (3065902)------------------------------
% 22.13/3.67  % (3065902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.13/3.67  % (3065902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.13/3.67  % (3065902)CaDiCaL version: 2.1.3
% 22.13/3.67  % (3065902)Termination reason: Instruction limit
% 22.13/3.67  % (3065902)Termination phase: Saturation
% 22.13/3.67  % (3065902)Time elapsed: 0.377 s
% 22.13/3.67  % (3065902)Peak memory usage: 14 MB
% 22.13/3.67  % (3065902)Instructions burned: 446 (million)
% 22.13/3.67  % (3065916)Instruction limit reached! 
% 22.13/3.67  % (3065916)------------------------------
% 22.13/3.67  % (3065916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.13/3.67  % (3065916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.13/3.67  % (3065916)CaDiCaL version: 2.1.3
% 22.13/3.67  % (3065916)Termination reason: Instruction limit
% 22.13/3.67  % (3065916)Termination phase: Saturation
% 22.13/3.67  % (3065916)Time elapsed: 0.213 s
% 22.13/3.67  % (3065916)Peak memory usage: 12 MB
% 22.13/3.67  % (3065916)Instructions burned: 495 (million)
% 22.13/3.67  % (3065930)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3037756017:i=285:hud=10:bd=all:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/285Mi)
% 22.13/3.67  % (3065930)Refutation not found, incomplete strategy
% 22.13/3.67  % (3065930)------------------------------
% 22.13/3.67  % (3065930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.13/3.67  % (3065930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.13/3.67  % (3065930)CaDiCaL version: 2.1.3
% 22.13/3.67  % (3065930)Termination reason: Refutation not found, incomplete strategy
% 22.13/3.67  % (3065930)Time elapsed: 0.002 s
% 22.13/3.67  % (3065930)Peak memory usage: 11 MB
% 22.13/3.67  % (3065930)Instructions burned: 1 (million)
% 22.13/3.67  % (3065930)------------------------------
% 22.13/3.67  % (3065930)------------------------------
% 22.13/3.67  % (3065931)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.13/3.67  % (3065931)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=2132531227:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2971 on theBenchmark for (2971ds/52Mi)
% 22.13/3.67  % (3065933)dis+10_1_si=on:random_seed=4261536989:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2971 on theBenchmark for (2971ds/407Mi)
% 22.13/3.67  % (3065933)Refutation not found, incomplete strategy
% 22.13/3.67  % (3065933)------------------------------
% 22.13/3.67  % (3065933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.13/3.67  % (3065933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.13/3.67  % (3065933)CaDiCaL version: 2.1.3
% 22.13/3.67  % (3065933)Termination reason: Refutation not found, incomplete strategy
% 22.13/3.67  % (3065933)Time elapsed: 0.001 s
% 22.13/3.67  % (3065933)Peak memory usage: 11 MB
% 22.13/3.67  % (3065933)Instructions burned: 1 (million)
% 22.13/3.67  % (3065933)------------------------------
% 22.13/3.67  % (3065933)------------------------------
% 22.13/3.67  % (3065931)Instruction limit reached! 
% 22.13/3.67  % (3065931)------------------------------
% 22.13/3.67  % (3065931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.13/3.67  % (3065931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.13/3.67  % (3065931)CaDiCaL version: 2.1.3
% 22.13/3.67  % (3065931)Termination reason: Instruction limit
% 22.13/3.67  % (3065931)Termination phase: Saturation
% 22.13/3.67  % (3065931)Time elapsed: 0.020 s
% 22.13/3.67  % (3065931)Peak memory usage: 12 MB
% 22.13/3.67  % (3065931)Instructions burned: 52 (million)
% 22.13/3.67  % (3065936)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=147956207:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/2240Mi)
% 22.13/3.67  % (3065937)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=2696691542:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/336Mi)
% 22.13/3.67  % (3065937)Refutation not found, incomplete strategy
% 22.13/3.67  % (3065937)------------------------------
% 22.13/3.67  % (3065937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.40/4.08  % (3065937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.40/4.08  % (3065937)CaDiCaL version: 2.1.3
% 26.40/4.08  % (3065937)Termination reason: Refutation not found, incomplete strategy
% 26.40/4.08  % (3065937)Time elapsed: 0.002 s
% 26.40/4.08  % (3065937)Peak memory usage: 11 MB
% 26.40/4.08  % (3065937)------------------------------
% 26.40/4.08  % (3065937)------------------------------
% 26.40/4.08  % (3065940)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2918619156:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2970 on theBenchmark for (2970ds/1142Mi)
% 26.40/4.08  % (3065940)Refutation not found, incomplete strategy
% 26.40/4.08  % (3065940)------------------------------
% 26.40/4.08  % (3065940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.40/4.08  % (3065940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.40/4.08  % (3065940)CaDiCaL version: 2.1.3
% 26.40/4.08  % (3065940)Termination reason: Refutation not found, incomplete strategy
% 26.40/4.08  % (3065940)Time elapsed: 0.010 s
% 26.40/4.08  % (3065940)Peak memory usage: 12 MB
% 26.40/4.08  % (3065940)Instructions burned: 13 (million)
% 26.40/4.08  % (3065940)------------------------------
% 26.40/4.08  % (3065940)------------------------------
% 26.40/4.08  % (3065942)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3401252767:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/376Mi)
% 26.40/4.08  % (3065942)Refutation not found, incomplete strategy
% 26.40/4.08  % (3065942)------------------------------
% 26.40/4.08  % (3065942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.40/4.08  % (3065942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.40/4.08  % (3065942)CaDiCaL version: 2.1.3
% 26.40/4.08  % (3065942)Termination reason: Refutation not found, incomplete strategy
% 26.40/4.08  % (3065942)Time elapsed: 0.001 s
% 26.40/4.08  % (3065942)Peak memory usage: 11 MB
% 26.40/4.08  % (3065942)Instructions burned: 1 (million)
% 26.40/4.08  % (3065942)------------------------------
% 26.40/4.08  % (3065942)------------------------------
% 26.40/4.08  % (3065944)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3334874933:i=766:bd=all:rtra=on_2969 on theBenchmark for (2969ds/766Mi)
% 26.40/4.08  % (3065944)Refutation not found, incomplete strategy
% 26.40/4.08  % (3065944)------------------------------
% 26.40/4.08  % (3065944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.40/4.08  % (3065944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.40/4.08  % (3065944)CaDiCaL version: 2.1.3
% 26.40/4.08  % (3065944)Termination reason: Refutation not found, incomplete strategy
% 26.40/4.08  % (3065944)Time elapsed: 0.002 s
% 26.40/4.08  % (3065944)Peak memory usage: 12 MB
% 26.40/4.08  % (3065944)Instructions burned: 2 (million)
% 26.40/4.08  % (3065944)------------------------------
% 26.40/4.08  % (3065944)------------------------------
% 26.40/4.08  % (3065946)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 26.40/4.08  % (3065946)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2069809583: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_2969 on theBenchmark for (2969ds/959Mi)
% 26.40/4.08  % (3065946)Refutation not found, incomplete strategy
% 26.40/4.08  % (3065946)------------------------------
% 26.40/4.08  % (3065946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.40/4.08  % (3065946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.40/4.08  % (3065946)CaDiCaL version: 2.1.3
% 26.40/4.08  % (3065946)Termination reason: Refutation not found, incomplete strategy
% 26.40/4.08  % (3065946)Time elapsed: 0.001 s
% 26.40/4.08  % (3065946)Peak memory usage: 11 MB
% 26.40/4.08  % (3065946)------------------------------
% 26.40/4.08  % (3065946)------------------------------
% 26.40/4.08  % (3065948)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=2829356920:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2969 on theBenchmark for (2969ds/6359Mi)
% 26.40/4.08  % (3065921)Instruction limit reached! 
% 26.40/4.08  % (3065921)------------------------------
% 26.40/4.08  % (3065921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.07/4.32  % (3065921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.07/4.32  % (3065921)CaDiCaL version: 2.1.3
% 28.07/4.32  % (3065921)Termination reason: Instruction limit
% 28.07/4.32  % (3065921)Termination phase: Saturation
% 28.07/4.32  % (3065921)Time elapsed: 0.469 s
% 28.07/4.32  % (3065921)Peak memory usage: 12 MB
% 28.07/4.32  % (3065921)Instructions burned: 671 (million)
% 28.07/4.32  % (3065950)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3292651201:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2967 on theBenchmark for (2967ds/35Mi)
% 28.07/4.32  % (3065950)Refutation not found, incomplete strategy
% 28.07/4.32  % (3065950)------------------------------
% 28.07/4.32  % (3065950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.07/4.32  % (3065950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.07/4.32  % (3065950)CaDiCaL version: 2.1.3
% 28.07/4.32  % (3065950)Termination reason: Refutation not found, incomplete strategy
% 28.07/4.32  % (3065950)Time elapsed: 0.001 s
% 28.07/4.32  % (3065950)Peak memory usage: 11 MB
% 28.07/4.32  % (3065950)------------------------------
% 28.07/4.32  % (3065950)------------------------------
% 28.07/4.32  % (3065952)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3417474547:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2967 on theBenchmark for (2967ds/53Mi)
% 28.07/4.32  % (3065928)Instruction limit reached! 
% 28.07/4.32  % (3065928)------------------------------
% 28.07/4.32  % (3065928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.07/4.32  % (3065928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.07/4.32  % (3065928)CaDiCaL version: 2.1.3
% 28.07/4.32  % (3065928)Termination reason: Instruction limit
% 28.07/4.32  % (3065928)Termination phase: Saturation
% 28.07/4.32  % (3065928)Time elapsed: 0.460 s
% 28.07/4.32  % (3065928)Peak memory usage: 13 MB
% 28.07/4.32  % (3065928)Instructions burned: 693 (million)
% 28.07/4.32  % (3065924)Instruction limit reached! 
% 28.07/4.32  % (3065924)------------------------------
% 28.07/4.32  % (3065924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.07/4.32  % (3065924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.07/4.32  % (3065924)CaDiCaL version: 2.1.3
% 28.07/4.32  % (3065924)Termination reason: Instruction limit
% 28.07/4.32  % (3065924)Termination phase: Saturation
% 28.07/4.32  % (3065924)Time elapsed: 0.529 s
% 28.07/4.32  % (3065924)Peak memory usage: 13 MB
% 28.07/4.32  % (3065924)Instructions burned: 857 (million)
% 28.07/4.32  % (3065954)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=4040916508:s2a=on:i=876:s2at=6:nm=2:rtra=on_2967 on theBenchmark for (2967ds/876Mi)
% 28.07/4.32  % (3065952)Instruction limit reached! 
% 28.07/4.32  % (3065952)------------------------------
% 28.07/4.32  % (3065952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.07/4.32  % (3065952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.07/4.32  % (3065952)CaDiCaL version: 2.1.3
% 28.07/4.32  % (3065952)Termination reason: Instruction limit
% 28.07/4.32  % (3065952)Termination phase: Saturation
% 28.07/4.32  % (3065952)Time elapsed: 0.048 s
% 28.07/4.32  % (3065952)Peak memory usage: 12 MB
% 28.07/4.32  % (3065952)Instructions burned: 54 (million)
% 28.07/4.32  % (3065955)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4251103162:i=57:ep=R:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/57Mi)
% 28.07/4.32  % (3065957)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.07/4.32  % (3065957)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1093987090:i=306:bd=all:rtra=on_2966 on theBenchmark for (2966ds/306Mi)
% 28.07/4.32  % (3065955)Instruction limit reached! 
% 28.07/4.32  % (3065955)------------------------------
% 28.07/4.32  % (3065955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.07/4.32  % (3065955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.07/4.32  % (3065955)CaDiCaL version: 2.1.3
% 28.07/4.32  % (3065955)Termination reason: Instruction limit
% 28.07/4.32  % (3065955)Termination phase: Saturation
% 28.07/4.32  % (3065955)Time elapsed: 0.030 s
% 28.07/4.32  % (3065955)Peak memory usage: 12 MB
% 29.16/4.54  % (3065955)Instructions burned: 58 (million)
% 29.16/4.54  % (3065957)Refutation not found, incomplete strategy
% 29.16/4.54  % (3065957)------------------------------
% 29.16/4.54  % (3065957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.16/4.54  % (3065957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.16/4.54  % (3065957)CaDiCaL version: 2.1.3
% 29.16/4.54  % (3065957)Termination reason: Refutation not found, incomplete strategy
% 29.16/4.54  % (3065957)Time elapsed: 0.003 s
% 29.16/4.54  % (3065957)Peak memory usage: 12 MB
% 29.16/4.54  % (3065957)Instructions burned: 2 (million)
% 29.16/4.54  % (3065957)------------------------------
% 29.16/4.54  % (3065957)------------------------------
% 29.16/4.54  % (3065961)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 29.16/4.54  % (3065960)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2331515220:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/262Mi)
% 29.16/4.54  % (3065961)ott+1002_16_sil=128000:si=on:random_seed=2679017063:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2966 on theBenchmark for (2966ds/409Mi)
% 29.16/4.54  % (3065960)Refutation not found, incomplete strategy
% 29.16/4.54  % (3065960)------------------------------
% 29.16/4.54  % (3065960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.16/4.54  % (3065960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.16/4.54  % (3065960)CaDiCaL version: 2.1.3
% 29.16/4.54  % (3065960)Termination reason: Refutation not found, incomplete strategy
% 29.16/4.54  % (3065960)Time elapsed: 0.002 s
% 29.16/4.54  % (3065960)Peak memory usage: 11 MB
% 29.16/4.54  % (3065960)Instructions burned: 1 (million)
% 29.16/4.54  % (3065960)------------------------------
% 29.16/4.54  % (3065960)------------------------------
% 29.16/4.54  % (3065964)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3882395596:s2a=on:i=381:rtra=on_2966 on theBenchmark for (2966ds/381Mi)
% 29.16/4.54  % (3065961)Instruction limit reached! 
% 29.16/4.54  % (3065961)------------------------------
% 29.16/4.54  % (3065961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.16/4.54  % (3065961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.16/4.54  % (3065961)CaDiCaL version: 2.1.3
% 29.16/4.54  % (3065961)Termination reason: Instruction limit
% 29.16/4.54  % (3065961)Termination phase: Saturation
% 29.16/4.54  % (3065961)Time elapsed: 0.272 s
% 29.16/4.54  % (3065961)Peak memory usage: 13 MB
% 29.16/4.54  % (3065961)Instructions burned: 409 (million)
% 29.16/4.54  % (3065966)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2749260081:cond=on:i=324:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/324Mi)
% 29.16/4.54  % (3065964)Instruction limit reached! 
% 29.16/4.54  % (3065964)------------------------------
% 29.16/4.54  % (3065964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.16/4.54  % (3065964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.16/4.54  % (3065964)CaDiCaL version: 2.1.3
% 29.16/4.54  % (3065964)Termination reason: Instruction limit
% 29.16/4.54  % (3065964)Termination phase: Saturation
% 29.16/4.54  % (3065964)Time elapsed: 0.296 s
% 29.16/4.54  % (3065964)Peak memory usage: 12 MB
% 29.16/4.54  % (3065964)Instructions burned: 381 (million)
% 29.16/4.54  % (3065863)Instruction limit reached! 
% 29.16/4.54  % (3065863)------------------------------
% 29.16/4.54  % (3065863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.16/4.54  % (3065863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.16/4.54  % (3065863)CaDiCaL version: 2.1.3
% 29.16/4.54  % (3065863)Termination reason: Instruction limit
% 29.16/4.54  % (3065863)Termination phase: Saturation
% 29.16/4.54  % (3065863)Time elapsed: 1.965 s
% 29.16/4.54  % (3065863)Peak memory usage: 17 MB
% 29.16/4.54  % (3065863)Instructions burned: 2470 (million)
% 29.16/4.54  % (3065968)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=4283577939:i=240:kws=inv_precedence:rtra=on_2962 on theBenchmark for (2962ds/240Mi)
% 29.16/4.54  % (3065968)Refutation not found, incomplete strategy
% 29.16/4.54  % (3065968)------------------------------
% 29.16/4.54  % (3065968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.16/4.54  % (3065968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.16/4.54  % (3065968)CaDiCaL version: 2.1.3
% 29.16/4.54  % (3065968)Termination reason: Refutation not found, incomplete strategy
% 31.12/4.94  % (3065968)Time elapsed: 0.003 s
% 31.12/4.94  % (3065968)Peak memory usage: 12 MB
% 31.12/4.94  % (3065968)Instructions burned: 1 (million)
% 31.12/4.94  % (3065968)------------------------------
% 31.12/4.94  % (3065968)------------------------------
% 31.12/4.94  % (3065969)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 31.12/4.94  % (3065969)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2634732752:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/124Mi)
% 31.12/4.94  % (3065971)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2111221449:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2962 on theBenchmark for (2962ds/223Mi)
% 31.12/4.94  % (3065969)Instruction limit reached! 
% 31.12/4.94  % (3065969)------------------------------
% 31.12/4.94  % (3065969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.12/4.94  % (3065969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/4.94  % (3065969)CaDiCaL version: 2.1.3
% 31.12/4.94  % (3065969)Termination reason: Instruction limit
% 31.12/4.94  % (3065969)Termination phase: Saturation
% 31.12/4.94  % (3065969)Time elapsed: 0.089 s
% 31.12/4.94  % (3065969)Peak memory usage: 12 MB
% 31.12/4.94  % (3065969)Instructions burned: 124 (million)
% 31.12/4.94  % (3065974)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2443370248:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2961 on theBenchmark for (2961ds/282Mi)
% 31.12/4.94  % (3065971)Instruction limit reached! 
% 31.12/4.94  % (3065971)------------------------------
% 31.12/4.94  % (3065971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.12/4.94  % (3065971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/4.94  % (3065971)CaDiCaL version: 2.1.3
% 31.12/4.94  % (3065971)Termination reason: Instruction limit
% 31.12/4.94  % (3065971)Termination phase: Saturation
% 31.12/4.94  % (3065971)Time elapsed: 0.142 s
% 31.12/4.94  % (3065971)Peak memory usage: 13 MB
% 31.12/4.94  % (3065971)Instructions burned: 224 (million)
% 31.12/4.94  % (3065966)Instruction limit reached! 
% 31.12/4.94  % (3065966)------------------------------
% 31.12/4.94  % (3065966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.12/4.94  % (3065966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/4.94  % (3065966)CaDiCaL version: 2.1.3
% 31.12/4.94  % (3065966)Termination reason: Instruction limit
% 31.12/4.94  % (3065966)Termination phase: Saturation
% 31.12/4.94  % (3065966)Time elapsed: 0.259 s
% 31.12/4.94  % (3065966)Peak memory usage: 12 MB
% 31.12/4.94  % (3065966)Instructions burned: 324 (million)
% 31.12/4.94  % (3065976)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3926289094:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/464Mi)
% 31.12/4.94  % (3065976)Refutation not found, incomplete strategy
% 31.12/4.94  % (3065976)------------------------------
% 31.12/4.94  % (3065976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.12/4.94  % (3065976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/4.94  % (3065976)CaDiCaL version: 2.1.3
% 31.12/4.94  % (3065976)Termination reason: Refutation not found, incomplete strategy
% 31.12/4.94  % (3065976)Time elapsed: 0.001 s
% 31.12/4.94  % (3065976)Peak memory usage: 11 MB
% 31.12/4.94  % (3065976)Instructions burned: 1 (million)
% 31.12/4.94  % (3065976)------------------------------
% 31.12/4.94  % (3065976)------------------------------
% 31.12/4.94  % (3065977)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=4256410242:i=88:s2at=3:nm=2:rtra=on:rawr=on_2960 on theBenchmark for (2960ds/88Mi)
% 31.12/4.94  % (3065954)Instruction limit reached! 
% 31.12/4.94  % (3065954)------------------------------
% 31.12/4.94  % (3065954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.12/4.94  % (3065954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.12/4.94  % (3065954)CaDiCaL version: 2.1.3
% 31.12/4.94  % (3065954)Termination reason: Instruction limit
% 31.12/4.94  % (3065954)Termination phase: Saturation
% 31.12/4.94  % (3065954)Time elapsed: 0.689 s
% 31.12/4.94  % (3065954)Peak memory usage: 13 MB
% 31.12/4.94  % (3065954)Instructions burned: 876 (million)
% 31.12/4.94  % (3065979)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3625086704:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2960 on theBenchmark for (2960ds/280Mi)
% 33.48/5.08  % (3065981)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 33.48/5.08  % (3065981)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1667479800:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/4386Mi)
% 33.48/5.08  % (3065977)Instruction limit reached! 
% 33.48/5.08  % (3065977)------------------------------
% 33.48/5.08  % (3065977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.48/5.08  % (3065977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.48/5.08  % (3065977)CaDiCaL version: 2.1.3
% 33.48/5.08  % (3065977)Termination reason: Instruction limit
% 33.48/5.08  % (3065977)Termination phase: Saturation
% 33.48/5.08  % (3065977)Time elapsed: 0.068 s
% 33.48/5.08  % (3065977)Peak memory usage: 12 MB
% 33.48/5.08  % (3065977)Instructions burned: 89 (million)
% 33.48/5.08  % (3065984)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 33.48/5.08  % (3065984)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 33.48/5.08  % (3065984)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=1625157132: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)
% 33.48/5.08  % (3065984)Refutation not found, incomplete strategy
% 33.48/5.08  % (3065984)------------------------------
% 33.48/5.08  % (3065984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.48/5.08  % (3065984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.48/5.08  % (3065984)CaDiCaL version: 2.1.3
% 33.48/5.08  % (3065984)Termination reason: Refutation not found, incomplete strategy
% 33.48/5.08  % (3065984)Time elapsed: 0.002 s
% 33.48/5.08  % (3065984)Peak memory usage: 12 MB
% 33.48/5.08  % (3065984)------------------------------
% 33.48/5.08  % (3065984)------------------------------
% 33.48/5.08  % (3065986)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3696638281:i=73:rtra=on_2959 on theBenchmark for (2959ds/73Mi)
% 33.48/5.08  % (3065986)Refutation not found, incomplete strategy
% 33.48/5.08  % (3065986)------------------------------
% 33.48/5.08  % (3065986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.48/5.08  % (3065986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.48/5.08  % (3065986)CaDiCaL version: 2.1.3
% 33.48/5.08  % (3065986)Termination reason: Refutation not found, incomplete strategy
% 33.48/5.08  % (3065986)Time elapsed: 0.002 s
% 33.48/5.08  % (3065986)Peak memory usage: 12 MB
% 33.48/5.08  % (3065986)Instructions burned: 2 (million)
% 33.48/5.08  % (3065986)------------------------------
% 33.48/5.08  % (3065986)------------------------------
% 33.48/5.08  % (3065974)Instruction limit reached! 
% 33.48/5.08  % (3065974)------------------------------
% 33.48/5.08  % (3065974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.48/5.08  % (3065974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.48/5.08  % (3065974)CaDiCaL version: 2.1.3
% 33.48/5.08  % (3065974)Termination reason: Instruction limit
% 33.48/5.08  % (3065974)Termination phase: Saturation
% 33.48/5.08  % (3065974)Time elapsed: 0.256 s
% 33.48/5.08  % (3065974)Peak memory usage: 14 MB
% 33.48/5.08  % (3065974)Instructions burned: 283 (million)
% 33.48/5.08  % (3065988)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=608918953: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)
% 33.48/5.08  % (3065989)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 33.48/5.08  % (3065989)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1211613319:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2958 on theBenchmark for (2958ds/39Mi)
% 33.48/5.08  % (3065989)Instruction limit reached! 
% 33.48/5.08  % (3065989)------------------------------
% 33.48/5.08  % (3065989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.48/5.08  % (3065989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.49  % (3065989)CaDiCaL version: 2.1.3
% 35.06/5.49  % (3065989)Termination reason: Instruction limit
% 35.06/5.49  % (3065989)Termination phase: Saturation
% 35.06/5.49  % (3065989)Time elapsed: 0.036 s
% 35.06/5.49  % (3065989)Peak memory usage: 12 MB
% 35.06/5.49  % (3065989)Instructions burned: 40 (million)
% 35.06/5.49  % (3065979)Instruction limit reached! 
% 35.06/5.49  % (3065979)------------------------------
% 35.06/5.49  % (3065979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.49  % (3065979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.49  % (3065979)CaDiCaL version: 2.1.3
% 35.06/5.49  % (3065979)Termination reason: Instruction limit
% 35.06/5.49  % (3065979)Termination phase: Saturation
% 35.06/5.49  % (3065979)Time elapsed: 0.230 s
% 35.06/5.49  % (3065979)Peak memory usage: 12 MB
% 35.06/5.49  % (3065979)Instructions burned: 280 (million)
% 35.06/5.49  % (3065992)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3874029255:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2957 on theBenchmark for (2957ds/708Mi)
% 35.06/5.49  % (3065993)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
% 35.06/5.49  % (3065993)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=247519957:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/252Mi)
% 35.06/5.49  % (3065988)Instruction limit reached! 
% 35.06/5.49  % (3065988)------------------------------
% 35.06/5.49  % (3065988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.49  % (3065988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.49  % (3065988)CaDiCaL version: 2.1.3
% 35.06/5.49  % (3065988)Termination reason: Instruction limit
% 35.06/5.49  % (3065988)Termination phase: Saturation
% 35.06/5.49  % (3065988)Time elapsed: 0.143 s
% 35.06/5.49  % (3065988)Peak memory usage: 12 MB
% 35.06/5.49  % (3065988)Instructions burned: 176 (million)
% 35.06/5.49  % (3065996)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=1788412461:i=823:fsr=off:rtra=on_2957 on theBenchmark for (2957ds/823Mi)
% 35.06/5.49  % (3065993)Instruction limit reached! 
% 35.06/5.49  % (3065993)------------------------------
% 35.06/5.49  % (3065993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.49  % (3065993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.49  % (3065993)CaDiCaL version: 2.1.3
% 35.06/5.49  % (3065993)Termination reason: Instruction limit
% 35.06/5.49  % (3065993)Termination phase: Saturation
% 35.06/5.49  % (3065993)Time elapsed: 0.159 s
% 35.06/5.49  % (3065993)Peak memory usage: 12 MB
% 35.06/5.49  % (3065993)Instructions burned: 252 (million)
% 35.06/5.49  % (3065999)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 35.06/5.49  % (3065999)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=710481089:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/16202Mi)
% 35.06/5.49  % (3065999)Refutation not found, incomplete strategy
% 35.06/5.49  % (3065999)------------------------------
% 35.06/5.49  % (3065999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.49  % (3065999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.49  % (3065999)CaDiCaL version: 2.1.3
% 35.06/5.49  % (3065999)Termination reason: Refutation not found, incomplete strategy
% 35.06/5.49  % (3065999)Time elapsed: 0.002 s
% 35.06/5.49  % (3065999)Peak memory usage: 12 MB
% 35.06/5.49  % (3065999)Instructions burned: 1 (million)
% 35.06/5.49  % (3065999)------------------------------
% 35.06/5.49  % (3065999)------------------------------
% 35.06/5.49  % (3066001)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3288588576:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2955 on theBenchmark for (2955ds/300Mi)
% 35.06/5.49  % (3065936)Instruction limit reached! 
% 35.06/5.49  % (3065936)------------------------------
% 35.06/5.49  % (3065936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.49  % (3065936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.49  % (3065936)CaDiCaL version: 2.1.3
% 35.06/5.49  % (3065936)Termination reason: Instruction limit
% 36.35/5.67  % (3065936)Termination phase: Saturation
% 36.35/5.67  % (3065936)Time elapsed: 1.683 s
% 36.35/5.67  % (3065936)Peak memory usage: 17 MB
% 36.35/5.67  % (3065936)Instructions burned: 2241 (million)
% 36.35/5.67  % (3066003)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 36.35/5.67  % (3066003)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 36.35/5.67  % (3066003)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=4293193989:i=177:add=on:bd=preordered:rtra=on:rawr=on_2953 on theBenchmark for (2953ds/177Mi)
% 36.35/5.67  % (3066001)Instruction limit reached! 
% 36.35/5.67  % (3066001)------------------------------
% 36.35/5.67  % (3066001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.35/5.67  % (3066001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.35/5.67  % (3066001)CaDiCaL version: 2.1.3
% 36.35/5.67  % (3066001)Termination reason: Instruction limit
% 36.35/5.67  % (3066001)Termination phase: Saturation
% 36.35/5.67  % (3066001)Time elapsed: 0.178 s
% 36.35/5.67  % (3066001)Peak memory usage: 12 MB
% 36.35/5.67  % (3066001)Instructions burned: 301 (million)
% 36.35/5.67  % (3065992)Instruction limit reached! 
% 36.35/5.67  % (3065992)------------------------------
% 36.35/5.67  % (3065992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.35/5.67  % (3065992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.35/5.67  % (3065992)CaDiCaL version: 2.1.3
% 36.35/5.67  % (3065992)Termination reason: Instruction limit
% 36.35/5.67  % (3065992)Termination phase: Saturation
% 36.35/5.67  % (3065992)Time elapsed: 0.432 s
% 36.35/5.67  % (3065992)Peak memory usage: 13 MB
% 36.35/5.67  % (3065992)Instructions burned: 709 (million)
% 36.35/5.67  % (3066005)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=747538134:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2953 on theBenchmark for (2953ds/715Mi)
% 36.35/5.67  % (3066005)Refutation not found, incomplete strategy
% 36.35/5.67  % (3066005)------------------------------
% 36.35/5.67  % (3066005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.35/5.67  % (3066005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.35/5.67  % (3066005)CaDiCaL version: 2.1.3
% 36.35/5.67  % (3066005)Termination reason: Refutation not found, incomplete strategy
% 36.35/5.67  % (3066005)Time elapsed: 0.002 s
% 36.35/5.67  % (3066005)Peak memory usage: 11 MB
% 36.35/5.67  % (3066005)Instructions burned: 1 (million)
% 36.35/5.67  % (3066005)------------------------------
% 36.35/5.67  % (3066005)------------------------------
% 36.35/5.67  % (3066006)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 36.35/5.67  % (3066006)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 36.35/5.67  % (3066006)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=1476272533:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2953 on theBenchmark for (2953ds/230Mi)
% 36.35/5.67  % (3066006)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 36.35/5.67  % (3066009)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=4187215511:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2953 on theBenchmark for (2953ds/606Mi)
% 36.35/5.67  % (3066003)Instruction limit reached! 
% 36.35/5.67  % (3066003)------------------------------
% 36.35/5.67  % (3066003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.35/5.67  % (3066003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.35/5.67  % (3066003)CaDiCaL version: 2.1.3
% 36.35/5.67  % (3066003)Termination reason: Instruction limit
% 36.35/5.67  % (3066003)Termination phase: Saturation
% 36.35/5.67  % (3066003)Time elapsed: 0.094 s
% 36.35/5.67  % (3066003)Peak memory usage: 13 MB
% 36.35/5.67  % (3066003)Instructions burned: 177 (million)
% 36.35/5.67  % (3066013)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 36.35/5.67  % (3066013)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3174750662:lrd=on:i=841:nm=0:rtra=on_2952 on theBenchmark for (2952ds/841Mi)
% 38.17/5.85  % (3066006)Instruction limit reached! 
% 38.17/5.85  % (3066006)------------------------------
% 38.17/5.85  % (3066006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.17/5.85  % (3066006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.17/5.85  % (3066006)CaDiCaL version: 2.1.3
% 38.17/5.85  % (3066006)Termination reason: Instruction limit
% 38.17/5.85  % (3066006)Termination phase: Saturation
% 38.17/5.85  % (3066006)Time elapsed: 0.187 s
% 38.17/5.85  % (3066006)Peak memory usage: 13 MB
% 38.17/5.85  % (3066006)Instructions burned: 230 (million)
% 38.17/5.85  % (3066015)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1135319026:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2950 on theBenchmark for (2950ds/445Mi)
% 38.17/5.85  % (3065996)Instruction limit reached! 
% 38.17/5.85  % (3065996)------------------------------
% 38.17/5.85  % (3065996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.17/5.85  % (3065996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.17/5.85  % (3065996)CaDiCaL version: 2.1.3
% 38.17/5.85  % (3065996)Termination reason: Instruction limit
% 38.17/5.85  % (3065996)Termination phase: Saturation
% 38.17/5.85  % (3065996)Time elapsed: 0.614 s
% 38.17/5.85  % (3065996)Peak memory usage: 13 MB
% 38.17/5.85  % (3065996)Instructions burned: 824 (million)
% 38.17/5.85  % (3066017)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2524978171:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2950 on theBenchmark for (2950ds/71Mi)
% 38.17/5.85  % (3066017)Instruction limit reached! 
% 38.17/5.85  % (3066017)------------------------------
% 38.17/5.85  % (3066017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.17/5.85  % (3066017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.17/5.85  % (3066017)CaDiCaL version: 2.1.3
% 38.17/5.85  % (3066017)Termination reason: Instruction limit
% 38.17/5.85  % (3066017)Termination phase: Saturation
% 38.17/5.85  % (3066017)Time elapsed: 0.061 s
% 38.17/5.85  % (3066017)Peak memory usage: 12 MB
% 38.17/5.85  % (3066017)Instructions burned: 72 (million)
% 38.17/5.85  % (3066019)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
% 38.17/5.85  % (3066019)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 38.17/5.85  % (3066019)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=381363348:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2949 on theBenchmark for (2949ds/100Mi)
% 38.17/5.85  % (3066019)Instruction limit reached! 
% 38.17/5.85  % (3066019)------------------------------
% 38.17/5.85  % (3066019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.17/5.85  % (3066019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.17/5.85  % (3066019)CaDiCaL version: 2.1.3
% 38.17/5.85  % (3066019)Termination reason: Instruction limit
% 38.17/5.85  % (3066019)Termination phase: Saturation
% 38.17/5.85  % (3066019)Time elapsed: 0.060 s
% 38.17/5.85  % (3066019)Peak memory usage: 12 MB
% 38.17/5.85  % (3066019)Instructions burned: 101 (million)
% 38.17/5.85  % (3066021)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 38.17/5.85  % (3066021)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=1518236994:i=1352:add=on:aac=none:rtra=on_2948 on theBenchmark for (2948ds/1352Mi)
% 38.17/5.85  % (3066021)Refutation not found, incomplete strategy
% 38.17/5.85  % (3066021)------------------------------
% 38.17/5.85  % (3066021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.17/5.85  % (3066021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.17/5.85  % (3066021)CaDiCaL version: 2.1.3
% 38.17/5.85  % (3066021)Termination reason: Refutation not found, incomplete strategy
% 38.17/5.85  % (3066021)Time elapsed: 0.004 s
% 38.17/5.85  % (3066021)Peak memory usage: 12 MB
% 38.17/5.85  % (3066021)Instructions burned: 3 (million)
% 38.17/5.85  % (3066021)------------------------------
% 38.17/5.85  % (3066021)------------------------------
% 38.17/5.85  % (3066023)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=3987237770:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2948 on theBenchmark for (2948ds/646Mi)
% 40.46/6.12  % (3066009)Instruction limit reached! 
% 40.46/6.12  % (3066009)------------------------------
% 40.46/6.12  % (3066009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.46/6.12  % (3066009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.46/6.12  % (3066009)CaDiCaL version: 2.1.3
% 40.46/6.12  % (3066009)Termination reason: Instruction limit
% 40.46/6.12  % (3066009)Termination phase: Saturation
% 40.46/6.12  % (3066009)Time elapsed: 0.496 s
% 40.46/6.12  % (3066009)Peak memory usage: 12 MB
% 40.46/6.12  % (3066009)Instructions burned: 607 (million)
% 40.46/6.12  % (3066025)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3101315054:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2947 on theBenchmark for (2947ds/1924Mi)
% 40.46/6.12  % (3066025)Refutation not found, incomplete strategy
% 40.46/6.12  % (3066025)------------------------------
% 40.46/6.12  % (3066025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.46/6.12  % (3066025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.46/6.12  % (3066025)CaDiCaL version: 2.1.3
% 40.46/6.12  % (3066025)Termination reason: Refutation not found, incomplete strategy
% 40.46/6.12  % (3066025)Time elapsed: 0.001 s
% 40.46/6.12  % (3066025)Peak memory usage: 11 MB
% 40.46/6.12  % (3066025)------------------------------
% 40.46/6.12  % (3066025)------------------------------
% 40.46/6.12  % (3066027)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2398051930:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2947 on theBenchmark for (2947ds/984Mi)
% 40.46/6.12  % (3066027)Refutation not found, incomplete strategy
% 40.46/6.12  % (3066027)------------------------------
% 40.46/6.12  % (3066027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.46/6.12  % (3066027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.46/6.12  % (3066027)CaDiCaL version: 2.1.3
% 40.46/6.12  % (3066027)Termination reason: Refutation not found, incomplete strategy
% 40.46/6.12  % (3066027)Time elapsed: 0.002 s
% 40.46/6.12  % (3066027)Peak memory usage: 12 MB
% 40.46/6.12  % (3066027)Instructions burned: 2 (million)
% 40.46/6.12  % (3066027)------------------------------
% 40.46/6.12  % (3066027)------------------------------
% 40.46/6.12  % (3066015)Instruction limit reached! 
% 40.46/6.12  % (3066015)------------------------------
% 40.46/6.12  % (3066015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.46/6.12  % (3066015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.46/6.12  % (3066015)CaDiCaL version: 2.1.3
% 40.46/6.12  % (3066015)Termination reason: Instruction limit
% 40.46/6.12  % (3066015)Termination phase: Saturation
% 40.46/6.12  % (3066015)Time elapsed: 0.365 s
% 40.46/6.12  % (3066015)Peak memory usage: 14 MB
% 40.46/6.12  % (3066015)Instructions burned: 445 (million)
% 40.46/6.12  % (3066029)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=7342806:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2947 on theBenchmark for (2947ds/592Mi)
% 40.46/6.12  % (3066030)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1217822045:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2947 on theBenchmark for (2947ds/872Mi)
% 40.46/6.12  % (3066030)Refutation not found, incomplete strategy
% 40.46/6.12  % (3066030)------------------------------
% 40.46/6.12  % (3066030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.46/6.12  % (3066030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.46/6.12  % (3066030)CaDiCaL version: 2.1.3
% 40.46/6.12  % (3066030)Termination reason: Refutation not found, incomplete strategy
% 40.46/6.12  % (3066030)Time elapsed: 0.002 s
% 40.46/6.12  % (3066030)Peak memory usage: 11 MB
% 40.46/6.12  % (3066030)Instructions burned: 1 (million)
% 40.46/6.12  % (3066030)------------------------------
% 40.46/6.12  % (3066030)------------------------------
% 40.46/6.12  % (3066033)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 40.46/6.12  % (3066033)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=3878214029:i=999:add=on:rtra=on_2946 on theBenchmark for (2946ds/999Mi)
% 42.13/6.36  % (3066013)Instruction limit reached! 
% 42.13/6.36  % (3066013)------------------------------
% 42.13/6.36  % (3066013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.36  % (3066013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.36  % (3066013)CaDiCaL version: 2.1.3
% 42.13/6.36  % (3066013)Termination reason: Instruction limit
% 42.13/6.36  % (3066013)Termination phase: Saturation
% 42.13/6.36  % (3066013)Time elapsed: 0.615 s
% 42.13/6.36  % (3066013)Peak memory usage: 13 MB
% 42.13/6.36  % (3066013)Instructions burned: 841 (million)
% 42.13/6.36  % (3066035)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 42.13/6.36  % (3066035)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=2583551960:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2946 on theBenchmark for (2946ds/244Mi)
% 42.13/6.36  % (3066035)Refutation not found, incomplete strategy
% 42.13/6.36  % (3066035)------------------------------
% 42.13/6.36  % (3066035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.36  % (3066035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.36  % (3066035)CaDiCaL version: 2.1.3
% 42.13/6.36  % (3066035)Termination reason: Refutation not found, incomplete strategy
% 42.13/6.36  % (3066035)Time elapsed: 0.003 s
% 42.13/6.36  % (3066035)Peak memory usage: 11 MB
% 42.13/6.36  % (3066035)Instructions burned: 3 (million)
% 42.13/6.36  % (3066035)------------------------------
% 42.13/6.36  % (3066035)------------------------------
% 42.13/6.36  % (3066037)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3585846279:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2945 on theBenchmark for (2945ds/113Mi)
% 42.13/6.36  % (3066037)Refutation not found, incomplete strategy
% 42.13/6.36  % (3066037)------------------------------
% 42.13/6.36  % (3066037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.36  % (3066037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.36  % (3066037)CaDiCaL version: 2.1.3
% 42.13/6.36  % (3066037)Termination reason: Refutation not found, incomplete strategy
% 42.13/6.36  % (3066037)Time elapsed: 0.002 s
% 42.13/6.36  % (3066037)Peak memory usage: 12 MB
% 42.13/6.36  % (3066037)Instructions burned: 2 (million)
% 42.13/6.36  % (3066037)------------------------------
% 42.13/6.36  % (3066037)------------------------------
% 42.13/6.36  % (3066039)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2410987870:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2945 on theBenchmark for (2945ds/7795Mi)
% 42.13/6.36  % (3066039)Refutation not found, incomplete strategy
% 42.13/6.36  % (3066039)------------------------------
% 42.13/6.36  % (3066039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.36  % (3066039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.36  % (3066039)CaDiCaL version: 2.1.3
% 42.13/6.36  % (3066039)Termination reason: Refutation not found, incomplete strategy
% 42.13/6.36  % (3066039)Time elapsed: 0.001 s
% 42.13/6.36  % (3066039)Peak memory usage: 11 MB
% 42.13/6.36  % (3066039)------------------------------
% 42.13/6.36  % (3066039)------------------------------
% 42.13/6.36  % (3066041)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2773793653:st=2:i=5026:sd=1:rtra=on:ss=axioms_2945 on theBenchmark for (2945ds/5026Mi)
% 42.13/6.36  % (3066041)Refutation not found, incomplete strategy
% 42.13/6.36  % (3066041)------------------------------
% 42.13/6.36  % (3066041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.36  % (3066041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.36  % (3066041)CaDiCaL version: 2.1.3
% 42.13/6.36  % (3066041)Termination reason: Refutation not found, incomplete strategy
% 42.13/6.36  % (3066041)Time elapsed: 0.002 s
% 42.13/6.36  % (3066041)Peak memory usage: 11 MB
% 42.13/6.36  % (3066041)------------------------------
% 42.13/6.36  % (3066041)------------------------------
% 42.13/6.36  % (3066043)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 42.13/6.36  % (3066043)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2236952024:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2944 on theBenchmark for (2944ds/763Mi)
% 43.52/6.64  % (3066043)Refutation not found, incomplete strategy
% 43.52/6.64  % (3066043)------------------------------
% 43.52/6.64  % (3066043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.52/6.64  % (3066043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.52/6.64  % (3066043)CaDiCaL version: 2.1.3
% 43.52/6.64  % (3066043)Termination reason: Refutation not found, incomplete strategy
% 43.52/6.64  % (3066043)Time elapsed: 0.001 s
% 43.52/6.64  % (3066043)Peak memory usage: 11 MB
% 43.52/6.64  % (3066043)Instructions burned: 1 (million)
% 43.52/6.64  % (3066043)------------------------------
% 43.52/6.64  % (3066043)------------------------------
% 43.52/6.64  % (3066045)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2108979166:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2944 on theBenchmark for (2944ds/1144Mi)
% 43.52/6.64  % (3066045)Refutation not found, incomplete strategy
% 43.52/6.64  % (3066045)------------------------------
% 43.52/6.64  % (3066045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.52/6.64  % (3066045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.52/6.64  % (3066045)CaDiCaL version: 2.1.3
% 43.52/6.64  % (3066045)Termination reason: Refutation not found, incomplete strategy
% 43.52/6.64  % (3066045)Time elapsed: 0.001 s
% 43.52/6.64  % (3066045)Peak memory usage: 11 MB
% 43.52/6.64  % (3066045)------------------------------
% 43.52/6.64  % (3066045)------------------------------
% 43.52/6.64  % (3066047)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 43.52/6.64  % (3066047)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=515666489:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2944 on theBenchmark for (2944ds/52Mi)
% 43.52/6.64  % (3066023)Instruction limit reached! 
% 43.52/6.64  % (3066023)------------------------------
% 43.52/6.64  % (3066023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.52/6.64  % (3066023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.52/6.64  % (3066023)CaDiCaL version: 2.1.3
% 43.52/6.64  % (3066023)Termination reason: Instruction limit
% 43.52/6.64  % (3066023)Termination phase: Saturation
% 43.52/6.64  % (3066023)Time elapsed: 0.413 s
% 43.52/6.64  % (3066023)Peak memory usage: 14 MB
% 43.52/6.64  % (3066023)Instructions burned: 652 (million)
% 43.52/6.64  % (3066049)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=1897174868:i=1724:fsr=off:rtra=on:fe=abstraction_2944 on theBenchmark for (2944ds/1724Mi)
% 43.52/6.64  % (3066047)Instruction limit reached! 
% 43.52/6.64  % (3066047)------------------------------
% 43.52/6.64  % (3066047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.52/6.64  % (3066047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.52/6.64  % (3066047)CaDiCaL version: 2.1.3
% 43.52/6.64  % (3066047)Termination reason: Instruction limit
% 43.52/6.64  % (3066047)Termination phase: Saturation
% 43.52/6.64  % (3066047)Time elapsed: 0.045 s
% 43.52/6.64  % (3066047)Peak memory usage: 12 MB
% 43.52/6.64  % (3066047)Instructions burned: 53 (million)
% 43.52/6.64  % (3066051)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=1030355632:i=439:add=on:slsql=off:rtra=on:ntd=on_2943 on theBenchmark for (2943ds/439Mi)
% 43.52/6.64  % (3066029)Instruction limit reached! 
% 43.52/6.64  % (3066029)------------------------------
% 43.52/6.64  % (3066029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.52/6.64  % (3066029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.52/6.64  % (3066029)CaDiCaL version: 2.1.3
% 43.52/6.64  % (3066029)Termination reason: Instruction limit
% 43.52/6.64  % (3066029)Termination phase: Saturation
% 43.52/6.64  % (3066029)Time elapsed: 0.464 s
% 43.52/6.64  % (3066029)Peak memory usage: 13 MB
% 43.52/6.64  % (3066029)Instructions burned: 592 (million)
% 43.52/6.64  % (3066053)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1596426737:i=6395:sd=1:rtra=on:ss=axioms_2942 on theBenchmark for (2942ds/6395Mi)
% 43.52/6.64  % (3066053)Refutation not found, incomplete strategy
% 43.52/6.64  % (3066053)------------------------------
% 43.52/6.64  % (3066053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.52/6.64  % (3066053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.54/7.44  % (3066053)CaDiCaL version: 2.1.3
% 49.54/7.44  % (3066053)Termination reason: Refutation not found, incomplete strategy
% 49.54/7.44  % (3066053)Time elapsed: 0.001 s
% 49.54/7.44  % (3066053)Peak memory usage: 11 MB
% 49.54/7.44  % (3066053)Instructions burned: 1 (million)
% 49.54/7.44  % (3066053)------------------------------
% 49.54/7.44  % (3066053)------------------------------
% 49.54/7.44  % (3066055)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 49.54/7.44  % (3066055)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3176299017:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2941 on theBenchmark for (2941ds/6762Mi)
% 49.54/7.44  % (3066055)Refutation not found, incomplete strategy
% 49.54/7.44  % (3066055)------------------------------
% 49.54/7.44  % (3066055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.54/7.44  % (3066055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.54/7.44  % (3066055)CaDiCaL version: 2.1.3
% 49.54/7.44  % (3066055)Termination reason: Refutation not found, incomplete strategy
% 49.54/7.44  % (3066055)Time elapsed: 0.002 s
% 49.54/7.44  % (3066055)Peak memory usage: 11 MB
% 49.54/7.44  % (3066055)------------------------------
% 49.54/7.44  % (3066055)------------------------------
% 49.54/7.44  % (3066057)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 49.54/7.44  % (3066057)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=1268640834:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2941 on theBenchmark for (2941ds/376Mi)
% 49.54/7.44  % (3065948)Instruction limit reached! 
% 49.54/7.44  % (3065948)------------------------------
% 49.54/7.44  % (3065948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.54/7.44  % (3065948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.54/7.44  % (3065948)CaDiCaL version: 2.1.3
% 49.54/7.44  % (3065948)Termination reason: Instruction limit
% 49.54/7.44  % (3065948)Termination phase: Saturation
% 49.54/7.44  % (3065948)Time elapsed: 2.840 s
% 49.54/7.44  % (3065948)Peak memory usage: 25 MB
% 49.54/7.44  % (3065948)Instructions burned: 6361 (million)
% 49.54/7.44  % (3066059)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=2371212903:i=965:bd=all:ins=4:rtra=on_2940 on theBenchmark for (2940ds/965Mi)
% 49.54/7.44  % (3066051)Instruction limit reached! 
% 49.54/7.44  % (3066051)------------------------------
% 49.54/7.44  % (3066051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.54/7.44  % (3066051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.54/7.44  % (3066051)CaDiCaL version: 2.1.3
% 49.54/7.44  % (3066051)Termination reason: Instruction limit
% 49.54/7.44  % (3066051)Termination phase: Saturation
% 49.54/7.44  % (3066051)Time elapsed: 0.271 s
% 49.54/7.44  % (3066051)Peak memory usage: 12 MB
% 49.54/7.44  % (3066051)Instructions burned: 440 (million)
% 49.54/7.44  % (3066061)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1790015835:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2940 on theBenchmark for (2940ds/5013Mi)
% 49.54/7.44  % (3066061)Refutation not found, incomplete strategy
% 49.54/7.44  % (3066061)------------------------------
% 49.54/7.44  % (3066061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.54/7.44  % (3066061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.54/7.44  % (3066061)CaDiCaL version: 2.1.3
% 49.54/7.44  % (3066061)Termination reason: Refutation not found, incomplete strategy
% 49.54/7.44  % (3066061)Time elapsed: 0.002 s
% 49.54/7.44  % (3066061)Peak memory usage: 12 MB
% 49.54/7.44  % (3066061)Instructions burned: 1 (million)
% 49.54/7.44  % (3066061)------------------------------
% 49.54/7.44  % (3066061)------------------------------
% 49.54/7.44  % (3066063)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=4066839417:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2940 on theBenchmark for (2940ds/1583Mi)
% 49.54/7.44  % (3066033)Instruction limit reached! 
% 49.54/7.44  % (3066033)------------------------------
% 49.54/7.44  % (3066033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.54/7.44  % (3066033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.54/7.44  % (3066033)CaDiCaL version: 2.1.3
% 49.54/7.44  % (3066033)Termination reason: Instruction limit
% 50.30/7.54  % (3066033)Termination phase: Saturation
% 50.30/7.54  % (3066033)Time elapsed: 0.688 s
% 50.30/7.54  % (3066033)Peak memory usage: 14 MB
% 50.30/7.54  % (3066033)Instructions burned: 999 (million)
% 50.30/7.54  % (3066065)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 50.30/7.54  % (3066065)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 50.30/7.54  % (3066065)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
% 50.30/7.54  % (3066065)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 50.30/7.54  % (3066065)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=1673977232: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)
% 50.30/7.54  % (3066065)Refutation not found, incomplete strategy
% 50.30/7.54  % (3066065)------------------------------
% 50.30/7.54  % (3066065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.30/7.54  % (3066065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.30/7.54  % (3066065)CaDiCaL version: 2.1.3
% 50.30/7.54  % (3066065)Termination reason: Refutation not found, incomplete strategy
% 50.30/7.54  % (3066065)Time elapsed: 0.002 s
% 50.30/7.54  % (3066065)Peak memory usage: 12 MB
% 50.30/7.54  % (3066065)------------------------------
% 50.30/7.54  % (3066065)------------------------------
% 50.30/7.54  % (3066067)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2247779396:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2939 on theBenchmark for (2939ds/515Mi)
% 50.30/7.54  % (3066067)Refutation not found, incomplete strategy
% 50.30/7.54  % (3066067)------------------------------
% 50.30/7.54  % (3066067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.30/7.54  % (3066067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.30/7.54  % (3066067)CaDiCaL version: 2.1.3
% 50.30/7.54  % (3066067)Termination reason: Refutation not found, incomplete strategy
% 50.30/7.54  % (3066067)Time elapsed: 0.001 s
% 50.30/7.54  % (3066067)Peak memory usage: 12 MB
% 50.30/7.54  % (3066067)Instructions burned: 1 (million)
% 50.30/7.54  % (3066067)------------------------------
% 50.30/7.54  % (3066067)------------------------------
% 50.30/7.54  % (3066069)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 50.30/7.54  % (3066069)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=3344931827:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2938 on theBenchmark for (2938ds/1297Mi)
% 50.30/7.54  % (3066057)Instruction limit reached! 
% 50.30/7.54  % (3066057)------------------------------
% 50.30/7.54  % (3066057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.30/7.54  % (3066057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.30/7.54  % (3066057)CaDiCaL version: 2.1.3
% 50.30/7.54  % (3066057)Termination reason: Instruction limit
% 50.30/7.54  % (3066057)Termination phase: Saturation
% 50.30/7.54  % (3066057)Time elapsed: 0.288 s
% 50.30/7.54  % (3066057)Peak memory usage: 14 MB
% 50.30/7.54  % (3066057)Instructions burned: 376 (million)
% 50.30/7.54  % (3066071)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=3778533820:s2a=on:i=611:rtra=on:gsp=on_2938 on theBenchmark for (2938ds/611Mi)
% 50.30/7.54  % (3066071)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 50.30/7.54  % (3066059)Instruction limit reached! 
% 50.30/7.54  % (3066059)------------------------------
% 50.30/7.54  % (3066059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.30/7.54  % (3066059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.30/7.54  % (3066059)CaDiCaL version: 2.1.3
% 50.30/7.54  % (3066059)Termination reason: Instruction limit
% 50.30/7.54  % (3066059)Termination phase: Saturation
% 50.30/7.54  % (3066059)Time elapsed: 0.382 s
% 50.30/7.54  % (3066059)Peak memory usage: 15 MB
% 51.59/7.89  % (3066059)Instructions burned: 965 (million)
% 51.59/7.89  % (3066073)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 51.59/7.89  % (3066073)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2396923819:i=72:bd=all:rtra=on_2936 on theBenchmark for (2936ds/72Mi)
% 51.59/7.89  % (3066073)Refutation not found, incomplete strategy
% 51.59/7.89  % (3066073)------------------------------
% 51.59/7.89  % (3066073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.59/7.89  % (3066073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.59/7.89  % (3066073)CaDiCaL version: 2.1.3
% 51.59/7.89  % (3066073)Termination reason: Refutation not found, incomplete strategy
% 51.59/7.89  % (3066073)Time elapsed: 0.002 s
% 51.59/7.89  % (3066073)Peak memory usage: 12 MB
% 51.59/7.89  % (3066073)Instructions burned: 2 (million)
% 51.59/7.89  % (3066073)------------------------------
% 51.59/7.89  % (3066073)------------------------------
% 51.59/7.89  % (3066075)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=324205665:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2936 on theBenchmark for (2936ds/6580Mi)
% 51.59/7.89  % (3066071)Instruction limit reached! 
% 51.59/7.89  % (3066071)------------------------------
% 51.59/7.89  % (3066071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.59/7.89  % (3066071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.59/7.89  % (3066071)CaDiCaL version: 2.1.3
% 51.59/7.89  % (3066071)Termination reason: Instruction limit
% 51.59/7.89  % (3066071)Termination phase: Saturation
% 51.59/7.89  % (3066071)Time elapsed: 0.468 s
% 51.59/7.89  % (3066071)Peak memory usage: 13 MB
% 51.59/7.89  % (3066071)Instructions burned: 613 (million)
% 51.59/7.89  % (3066079)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1494161454:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2933 on theBenchmark for (2933ds/6209Mi)
% 51.59/7.89  % (3066079)Refutation not found, incomplete strategy
% 51.59/7.89  % (3066079)------------------------------
% 51.59/7.89  % (3066079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.59/7.89  % (3066079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.59/7.89  % (3066079)CaDiCaL version: 2.1.3
% 51.59/7.89  % (3066079)Termination reason: Refutation not found, incomplete strategy
% 51.59/7.89  % (3066079)Time elapsed: 0.001 s
% 51.59/7.89  % (3066079)Peak memory usage: 11 MB
% 51.59/7.89  % (3066079)Instructions burned: 1 (million)
% 51.59/7.89  % (3066079)------------------------------
% 51.59/7.89  % (3066079)------------------------------
% 51.59/7.89  % (3066081)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=1734829775:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2933 on theBenchmark for (2933ds/1003Mi)
% 51.59/7.89  % (3066049)Instruction limit reached! 
% 51.59/7.89  % (3066049)------------------------------
% 51.59/7.89  % (3066049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.59/7.89  % (3066049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.59/7.89  % (3066049)CaDiCaL version: 2.1.3
% 51.59/7.89  % (3066049)Termination reason: Instruction limit
% 51.59/7.89  % (3066049)Termination phase: Saturation
% 51.59/7.89  % (3066049)Time elapsed: 1.253 s
% 51.59/7.89  % (3066049)Peak memory usage: 13 MB
% 51.59/7.89  % (3066049)Instructions burned: 1725 (million)
% 51.59/7.89  % (3066085)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 51.59/7.89  % (3066085)ott+1002_16_sil=128000:si=on:random_seed=4063599935:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2931 on theBenchmark for (2931ds/409Mi)
% 51.59/7.89  % (3066069)Instruction limit reached! 
% 51.59/7.89  % (3066069)------------------------------
% 51.59/7.89  % (3066069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.59/7.89  % (3066069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.59/7.89  % (3066069)CaDiCaL version: 2.1.3
% 51.59/7.89  % (3066069)Termination reason: Instruction limit
% 51.59/7.89  % (3066069)Termination phase: Saturation
% 51.59/7.89  % (3066069)Time elapsed: 0.935 s
% 51.59/7.89  % (3066069)Peak memory usage: 13 MB
% 51.59/7.89  % (3066069)Instructions burned: 1298 (million)
% 51.59/7.89  % (3066089)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=1902056720:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2929 on theBenchmark for (2929ds/403Mi)
% 55.68/8.30  % (3066089)Refutation not found, incomplete strategy
% 55.68/8.30  % (3066089)------------------------------
% 55.68/8.30  % (3066089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.68/8.30  % (3066089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.68/8.30  % (3066089)CaDiCaL version: 2.1.3
% 55.68/8.30  % (3066089)Termination reason: Refutation not found, incomplete strategy
% 55.68/8.30  % (3066089)Time elapsed: 0.003 s
% 55.68/8.30  % (3066089)Peak memory usage: 12 MB
% 55.68/8.30  % (3066089)Instructions burned: 1 (million)
% 55.68/8.30  % (3066089)------------------------------
% 55.68/8.30  % (3066089)------------------------------
% 55.68/8.30  % (3066063)Instruction limit reached! 
% 55.68/8.30  % (3066063)------------------------------
% 55.68/8.30  % (3066063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.68/8.30  % (3066063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.68/8.30  % (3066063)CaDiCaL version: 2.1.3
% 55.68/8.30  % (3066063)Termination reason: Instruction limit
% 55.68/8.30  % (3066063)Termination phase: Saturation
% 55.68/8.30  % (3066063)Time elapsed: 1.144 s
% 55.68/8.30  % (3066063)Peak memory usage: 13 MB
% 55.68/8.30  % (3066063)Instructions burned: 1584 (million)
% 55.68/8.30  % (3066085)Instruction limit reached! 
% 55.68/8.30  % (3066085)------------------------------
% 55.68/8.30  % (3066085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.68/8.30  % (3066085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.68/8.30  % (3066085)CaDiCaL version: 2.1.3
% 55.68/8.30  % (3066085)Termination reason: Instruction limit
% 55.68/8.30  % (3066085)Termination phase: Saturation
% 55.68/8.30  % (3066085)Time elapsed: 0.264 s
% 55.68/8.30  % (3066085)Peak memory usage: 13 MB
% 55.68/8.30  % (3066085)Instructions burned: 410 (million)
% 55.68/8.30  % (3066091)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=1556654972:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2928 on theBenchmark for (2928ds/6843Mi)
% 55.68/8.30  % (3066091)Refutation not found, incomplete strategy
% 55.68/8.30  % (3066091)------------------------------
% 55.68/8.30  % (3066091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.68/8.30  % (3066091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.68/8.30  % (3066091)CaDiCaL version: 2.1.3
% 55.68/8.30  % (3066091)Termination reason: Refutation not found, incomplete strategy
% 55.68/8.30  % (3066091)Time elapsed: 0.002 s
% 55.68/8.30  % (3066091)Peak memory usage: 11 MB
% 55.68/8.30  % (3066091)Instructions burned: 1 (million)
% 55.68/8.30  % (3066091)------------------------------
% 55.68/8.30  % (3066091)------------------------------
% 55.68/8.30  % (3066092)lrs+10_2:1_si=on:random_seed=1688328521:s2a=on:i=506:rtra=on:fe=abstraction_2928 on theBenchmark for (2928ds/506Mi)
% 55.68/8.30  % (3066095)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 55.68/8.30  % (3066093)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=3543864701:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2928 on theBenchmark for (2928ds/888Mi)
% 55.68/8.30  % (3066095)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=2994803448:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2928 on theBenchmark for (2928ds/416Mi)
% 55.68/8.30  % (3066081)Instruction limit reached! 
% 55.68/8.30  % (3066081)------------------------------
% 55.68/8.30  % (3066081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.68/8.30  % (3066081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.68/8.30  % (3066081)CaDiCaL version: 2.1.3
% 55.68/8.30  % (3066081)Termination reason: Instruction limit
% 55.68/8.30  % (3066081)Termination phase: Saturation
% 55.68/8.30  % (3066081)Time elapsed: 0.488 s
% 55.68/8.30  % (3066081)Peak memory usage: 13 MB
% 55.68/8.30  % (3066081)Instructions burned: 1005 (million)
% 55.68/8.30  % (3066099)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=1341095199: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_2927 on theBenchmark for (2927ds/13534Mi)
% 57.21/8.52  % (3066099)Refutation not found, incomplete strategy
% 57.21/8.52  % (3066099)------------------------------
% 57.21/8.52  % (3066099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.21/8.52  % (3066099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.21/8.52  % (3066099)CaDiCaL version: 2.1.3
% 57.21/8.52  % (3066099)Termination reason: Refutation not found, incomplete strategy
% 57.21/8.52  % (3066099)Time elapsed: 0.002 s
% 57.21/8.52  % (3066099)Peak memory usage: 11 MB
% 57.21/8.52  % (3066099)Instructions burned: 1 (million)
% 57.21/8.52  % (3066099)------------------------------
% 57.21/8.52  % (3066099)------------------------------
% 57.21/8.52  % (3065796)Instruction limit reached! 
% 57.21/8.52  % (3065796)------------------------------
% 57.21/8.52  % (3065796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.21/8.52  % (3065796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.21/8.52  % (3065796)CaDiCaL version: 2.1.3
% 57.21/8.52  % (3065796)Termination reason: Instruction limit
% 57.21/8.52  % (3065796)Termination phase: Saturation
% 57.21/8.52  % (3065796)Time elapsed: 6.255 s
% 57.21/8.52  % (3065796)Peak memory usage: 17 MB
% 57.21/8.52  % (3065796)Instructions burned: 9842 (million)
% 57.21/8.52  % (3066101)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 57.21/8.52  % (3066101)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=1105066097:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2927 on theBenchmark for (2927ds/206Mi)
% 57.21/8.52  % (3066102)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=495113472:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2927 on theBenchmark for (2927ds/2295Mi)
% 57.21/8.52  % (3065981)Instruction limit reached! 
% 57.21/8.52  % (3065981)------------------------------
% 57.21/8.52  % (3065981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.21/8.52  % (3065981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.21/8.52  % (3065981)CaDiCaL version: 2.1.3
% 57.21/8.52  % (3065981)Termination reason: Instruction limit
% 57.21/8.52  % (3065981)Termination phase: Saturation
% 57.21/8.52  % (3065981)Time elapsed: 3.379 s
% 57.21/8.52  % (3065981)Peak memory usage: 17 MB
% 57.21/8.52  % (3065981)Instructions burned: 4387 (million)
% 57.21/8.52  % (3066101)Instruction limit reached! 
% 57.21/8.52  % (3066101)------------------------------
% 57.21/8.52  % (3066101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.21/8.52  % (3066101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.21/8.52  % (3066101)CaDiCaL version: 2.1.3
% 57.21/8.52  % (3066101)Termination reason: Instruction limit
% 57.21/8.52  % (3066101)Termination phase: Saturation
% 57.21/8.52  % (3066101)Time elapsed: 0.141 s
% 57.21/8.52  % (3066101)Peak memory usage: 12 MB
% 57.21/8.52  % (3066101)Instructions burned: 207 (million)
% 57.21/8.52  % (3066108)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1926586458:hsq=on:i=667:rtra=on:ixr=off_2926 on theBenchmark for (2926ds/667Mi)
% 57.21/8.52  % (3066107)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=2722328337:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2926 on theBenchmark for (2926ds/637Mi)
% 57.21/8.52  % (3066095)Instruction limit reached! 
% 57.21/8.52  % (3066095)------------------------------
% 57.21/8.52  % (3066095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.21/8.52  % (3066095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.21/8.52  % (3066095)CaDiCaL version: 2.1.3
% 57.21/8.52  % (3066095)Termination reason: Instruction limit
% 57.21/8.52  % (3066095)Termination phase: Saturation
% 57.21/8.52  % (3066095)Time elapsed: 0.344 s
% 57.21/8.52  % (3066095)Peak memory usage: 14 MB
% 57.21/8.52  % (3066095)Instructions burned: 416 (million)
% 57.21/8.52  % (3066092)Instruction limit reached! 
% 57.21/8.52  % (3066092)------------------------------
% 57.21/8.52  % (3066092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.21/8.52  % (3066092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.21/8.52  % (3066092)CaDiCaL version: 2.1.3
% 64.85/9.58  % (3066092)Termination reason: Instruction limit
% 64.85/9.58  % (3066092)Termination phase: Saturation
% 64.85/9.58  % (3066092)Time elapsed: 0.387 s
% 64.85/9.58  % (3066092)Peak memory usage: 13 MB
% 64.85/9.58  % (3066092)Instructions burned: 508 (million)
% 64.85/9.58  % (3066115)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=487208802:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2924 on theBenchmark for (2924ds/1801Mi)
% 64.85/9.58  % (3066116)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=1058392138:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2924 on theBenchmark for (2924ds/555Mi)
% 64.85/9.58  % (3066108)Instruction limit reached! 
% 64.85/9.58  % (3066108)------------------------------
% 64.85/9.58  % (3066108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.85/9.58  % (3066108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/9.58  % (3066108)CaDiCaL version: 2.1.3
% 64.85/9.58  % (3066108)Termination reason: Instruction limit
% 64.85/9.58  % (3066108)Termination phase: Saturation
% 64.85/9.58  % (3066108)Time elapsed: 0.359 s
% 64.85/9.58  % (3066108)Peak memory usage: 12 MB
% 64.85/9.58  % (3066108)Instructions burned: 668 (million)
% 64.85/9.58  % (3066121)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=4265641540:i=88:s2at=3:nm=2:rtra=on:rawr=on_2922 on theBenchmark for (2922ds/88Mi)
% 64.85/9.58  % (3066093)Instruction limit reached! 
% 64.85/9.58  % (3066093)------------------------------
% 64.85/9.58  % (3066093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.85/9.58  % (3066093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/9.58  % (3066093)CaDiCaL version: 2.1.3
% 64.85/9.58  % (3066093)Termination reason: Instruction limit
% 64.85/9.58  % (3066093)Termination phase: Saturation
% 64.85/9.58  % (3066093)Time elapsed: 0.673 s
% 64.85/9.58  % (3066093)Peak memory usage: 13 MB
% 64.85/9.58  % (3066093)Instructions burned: 889 (million)
% 64.85/9.58  % (3066121)Instruction limit reached! 
% 64.85/9.58  % (3066121)------------------------------
% 64.85/9.58  % (3066121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.85/9.58  % (3066121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/9.58  % (3066121)CaDiCaL version: 2.1.3
% 64.85/9.58  % (3066121)Termination reason: Instruction limit
% 64.85/9.58  % (3066121)Termination phase: Saturation
% 64.85/9.58  % (3066121)Time elapsed: 0.068 s
% 64.85/9.58  % (3066121)Peak memory usage: 12 MB
% 64.85/9.58  % (3066121)Instructions burned: 88 (million)
% 64.85/9.58  % (3066123)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1225220213:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2921 on theBenchmark for (2921ds/280Mi)
% 64.85/9.58  % (3066124)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=1477585075:s2a=on:i=3166:bd=preordered:rtra=on_2921 on theBenchmark for (2921ds/3166Mi)
% 64.85/9.58  % (3066107)Instruction limit reached! 
% 64.85/9.58  % (3066107)------------------------------
% 64.85/9.58  % (3066107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.85/9.58  % (3066107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/9.58  % (3066107)CaDiCaL version: 2.1.3
% 64.85/9.58  % (3066107)Termination reason: Instruction limit
% 64.85/9.58  % (3066107)Termination phase: Saturation
% 64.85/9.58  % (3066107)Time elapsed: 0.515 s
% 64.85/9.58  % (3066107)Peak memory usage: 13 MB
% 64.85/9.58  % (3066107)Instructions burned: 638 (million)
% 64.85/9.58  % (3066127)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 64.85/9.58  % (3066116)Instruction limit reached! 
% 64.85/9.58  % (3066116)------------------------------
% 64.85/9.58  % (3066116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.85/9.58  % (3066116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.85/9.58  % (3066116)CaDiCaL version: 2.1.3
% 64.85/9.58  % (3066116)Termination reason: Instruction limit
% 64.85/9.58  % (3066116)Termination phase: Saturation
% 64.85/9.58  % (3066116)Time elapsed: 0.376 s
% 64.85/9.58  % (3066116)Peak memory usage: 11 MB
% 64.85/9.58  % (3066116)Instructions burned: 555 (million)
% 64.85/9.58  % (3066127)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=1286302753:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2920 on theBenchmark for (2920ds/4201Mi)
% 66.45/9.84  % (3066127)Refutation not found, incomplete strategy
% 66.45/9.84  % (3066127)------------------------------
% 66.45/9.84  % (3066127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.45/9.84  % (3066127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.45/9.84  % (3066127)CaDiCaL version: 2.1.3
% 66.45/9.84  % (3066127)Termination reason: Refutation not found, incomplete strategy
% 66.45/9.84  % (3066127)Time elapsed: 0.003 s
% 66.45/9.84  % (3066127)Peak memory usage: 12 MB
% 66.45/9.84  % (3066127)Instructions burned: 3 (million)
% 66.45/9.84  % (3066127)------------------------------
% 66.45/9.84  % (3066127)------------------------------
% 66.45/9.84  % (3066130)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 66.45/9.84  % (3066130)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=2547263461:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2920 on theBenchmark for (2920ds/452Mi)
% 66.45/9.84  % (3066130)Refutation not found, incomplete strategy
% 66.45/9.84  % (3066130)------------------------------
% 66.45/9.84  % (3066130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.45/9.84  % (3066130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.45/9.84  % (3066130)CaDiCaL version: 2.1.3
% 66.45/9.84  % (3066130)Termination reason: Refutation not found, incomplete strategy
% 66.45/9.84  % (3066130)Time elapsed: 0.001 s
% 66.45/9.84  % (3066130)Peak memory usage: 12 MB
% 66.45/9.84  % (3066130)Instructions burned: 1 (million)
% 66.45/9.84  % (3066130)------------------------------
% 66.45/9.84  % (3066130)------------------------------
% 66.45/9.84  % (3066128)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4282911111:i=2352:rtra=on:ixr=off_2920 on theBenchmark for (2920ds/2352Mi)
% 66.45/9.84  % (3066133)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 66.45/9.84  % (3066133)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 66.45/9.84  % (3066133)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=3182669475:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2919 on theBenchmark for (2919ds/483Mi)
% 66.45/9.84  % (3066133)Refutation not found, incomplete strategy
% 66.45/9.84  % (3066133)------------------------------
% 66.45/9.84  % (3066133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.45/9.84  % (3066133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.45/9.84  % (3066133)CaDiCaL version: 2.1.3
% 66.45/9.84  % (3066133)Termination reason: Refutation not found, incomplete strategy
% 66.45/9.84  % (3066133)Time elapsed: 0.002 s
% 66.45/9.84  % (3066133)Peak memory usage: 12 MB
% 66.45/9.84  % (3066133)------------------------------
% 66.45/9.84  % (3066133)------------------------------
% 66.45/9.84  % (3066135)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=267222716:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2919 on theBenchmark for (2919ds/168Mi)
% 66.45/9.84  % (3066123)Instruction limit reached! 
% 66.45/9.84  % (3066123)------------------------------
% 66.45/9.84  % (3066123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.45/9.84  % (3066123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.45/9.84  % (3066123)CaDiCaL version: 2.1.3
% 66.45/9.84  % (3066123)Termination reason: Instruction limit
% 66.45/9.84  % (3066123)Termination phase: Saturation
% 66.45/9.84  % (3066123)Time elapsed: 0.209 s
% 66.45/9.84  % (3066123)Peak memory usage: 12 MB
% 66.45/9.84  % (3066123)Instructions burned: 280 (million)
% 66.45/9.84  % (3066137)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=857580084: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_2918 on theBenchmark for (2918ds/17240Mi)
% 66.45/9.84  % (3066135)Instruction limit reached! 
% 66.45/9.84  % (3066135)------------------------------
% 68.83/10.12  % (3066135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.83/10.12  % (3066135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.83/10.12  % (3066135)CaDiCaL version: 2.1.3
% 68.83/10.12  % (3066135)Termination reason: Instruction limit
% 68.83/10.12  % (3066135)Termination phase: Saturation
% 68.83/10.12  % (3066135)Time elapsed: 0.133 s
% 68.83/10.12  % (3066135)Peak memory usage: 12 MB
% 68.83/10.12  % (3066135)Instructions burned: 169 (million)
% 68.83/10.12  % (3066139)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=4176531259:i=2022:fsr=off:rtra=on:ixr=off_2917 on theBenchmark for (2917ds/2022Mi)
% 68.83/10.12  % (3066115)Instruction limit reached! 
% 68.83/10.12  % (3066115)------------------------------
% 68.83/10.12  % (3066115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.83/10.12  % (3066115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.83/10.12  % (3066115)CaDiCaL version: 2.1.3
% 68.83/10.12  % (3066115)Termination reason: Instruction limit
% 68.83/10.12  % (3066115)Termination phase: Saturation
% 68.83/10.12  % (3066115)Time elapsed: 1.093 s
% 68.83/10.12  % (3066115)Peak memory usage: 15 MB
% 68.83/10.12  % (3066115)Instructions burned: 1803 (million)
% 68.83/10.12  % (3066102)Instruction limit reached! 
% 68.83/10.12  % (3066102)------------------------------
% 68.83/10.12  % (3066102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.83/10.12  % (3066102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.83/10.12  % (3066102)CaDiCaL version: 2.1.3
% 68.83/10.12  % (3066102)Termination reason: Instruction limit
% 68.83/10.12  % (3066102)Termination phase: Saturation
% 68.83/10.12  % (3066102)Time elapsed: 1.426 s
% 68.83/10.12  % (3066102)Peak memory usage: 13 MB
% 68.83/10.12  % (3066102)Instructions burned: 2296 (million)
% 68.83/10.12  % (3066141)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=2672803631:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2913 on theBenchmark for (2913ds/2274Mi)
% 68.83/10.12  % (3066142)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2635290166:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2913 on theBenchmark for (2913ds/555Mi)
% 68.83/10.12  % (3066142)Instruction limit reached! 
% 68.83/10.12  % (3066142)------------------------------
% 68.83/10.12  % (3066142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.83/10.12  % (3066142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.83/10.12  % (3066142)CaDiCaL version: 2.1.3
% 68.83/10.12  % (3066142)Termination reason: Instruction limit
% 68.83/10.12  % (3066142)Termination phase: Saturation
% 68.83/10.12  % (3066142)Time elapsed: 0.359 s
% 68.83/10.12  % (3066142)Peak memory usage: 13 MB
% 68.83/10.12  % (3066142)Instructions burned: 557 (million)
% 68.83/10.12  % (3066147)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=2758822831:avsq=on:i=2220:rtra=on_2909 on theBenchmark for (2909ds/2220Mi)
% 68.83/10.12  % (3066075)Instruction limit reached! 
% 68.83/10.12  % (3066075)------------------------------
% 68.83/10.12  % (3066075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.83/10.12  % (3066075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.83/10.12  % (3066075)CaDiCaL version: 2.1.3
% 68.83/10.12  % (3066075)Termination reason: Instruction limit
% 68.83/10.12  % (3066075)Termination phase: Saturation
% 68.83/10.12  % (3066075)Time elapsed: 2.848 s
% 68.83/10.12  % (3066075)Peak memory usage: 29 MB
% 68.83/10.12  % (3066075)Instructions burned: 6581 (million)
% 68.83/10.12  % (3066151)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1790479934:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2907 on theBenchmark for (2907ds/715Mi)
% 68.83/10.12  % (3066151)Refutation not found, incomplete strategy
% 68.83/10.12  % (3066151)------------------------------
% 68.83/10.12  % (3066151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.83/10.12  % (3066151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.83/10.12  % (3066151)CaDiCaL version: 2.1.3
% 68.83/10.12  % (3066151)Termination reason: Refutation not found, incomplete strategy
% 68.83/10.12  % (3066151)Time elapsed: 0.001 s
% 68.83/10.12  % (3066151)Peak memory usage: 11 MB
% 68.83/10.12  % (3066151)Instructions burned: 1 (million)
% 68.83/10.12  % (3066151)------------------------------
% 68.83/10.12  % (3066151)------------------------------
% 68.83/10.12  % (3066153)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
% 72.04/10.67  % (3066153)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=183473714:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2907 on theBenchmark for (2907ds/1979Mi)
% 72.04/10.67  % (3066153)Refutation not found, incomplete strategy
% 72.04/10.67  % (3066153)------------------------------
% 72.04/10.67  % (3066153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.04/10.67  % (3066153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.04/10.67  % (3066153)CaDiCaL version: 2.1.3
% 72.04/10.67  % (3066153)Termination reason: Refutation not found, incomplete strategy
% 72.04/10.67  % (3066153)Time elapsed: 0.001 s
% 72.04/10.67  % (3066153)Peak memory usage: 12 MB
% 72.04/10.67  % (3066153)Instructions burned: 1 (million)
% 72.04/10.67  % (3066153)------------------------------
% 72.04/10.67  % (3066153)------------------------------
% 72.04/10.67  % (3066155)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3658014314:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2907 on theBenchmark for (2907ds/28911Mi)
% 72.04/10.68  % (3066155)Refutation not found, incomplete strategy
% 72.04/10.68  % (3066155)------------------------------
% 72.04/10.68  % (3066155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.04/10.68  % (3066155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.04/10.68  % (3066155)CaDiCaL version: 2.1.3
% 72.04/10.68  % (3066155)Termination reason: Refutation not found, incomplete strategy
% 72.04/10.68  % (3066155)Time elapsed: 0.001 s
% 72.04/10.68  % (3066155)Peak memory usage: 11 MB
% 72.04/10.68  % (3066155)Instructions burned: 1 (million)
% 72.04/10.68  % (3066155)------------------------------
% 72.04/10.68  % (3066155)------------------------------
% 72.04/10.68  % (3066157)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=1662594257:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2907 on theBenchmark for (2907ds/414Mi)
% 72.04/10.68  % (3066157)Refutation not found, incomplete strategy
% 72.04/10.68  % (3066157)------------------------------
% 72.04/10.68  % (3066157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.04/10.68  % (3066157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.04/10.68  % (3066157)CaDiCaL version: 2.1.3
% 72.04/10.68  % (3066157)Termination reason: Refutation not found, incomplete strategy
% 72.04/10.68  % (3066157)Time elapsed: 0.003 s
% 72.04/10.68  % (3066157)Peak memory usage: 12 MB
% 72.04/10.68  % (3066157)Instructions burned: 3 (million)
% 72.04/10.68  % (3066157)------------------------------
% 72.04/10.68  % (3066157)------------------------------
% 72.04/10.68  % (3066159)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=422034679:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2906 on theBenchmark for (2906ds/429Mi)
% 72.04/10.68  % (3066128)Instruction limit reached! 
% 72.04/10.68  % (3066128)------------------------------
% 72.04/10.68  % (3066128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.04/10.68  % (3066128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.04/10.68  % (3066128)CaDiCaL version: 2.1.3
% 72.04/10.68  % (3066128)Termination reason: Instruction limit
% 72.04/10.68  % (3066128)Termination phase: Saturation
% 72.04/10.68  % (3066128)Time elapsed: 1.384 s
% 72.04/10.68  % (3066128)Peak memory usage: 13 MB
% 72.04/10.68  % (3066128)Instructions burned: 2353 (million)
% 72.04/10.68  % (3066161)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 72.04/10.68  % (3066161)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=1884163030:lrd=on:i=841:nm=0:rtra=on_2906 on theBenchmark for (2906ds/841Mi)
% 72.04/10.68  % (3066159)Instruction limit reached! 
% 72.04/10.68  % (3066159)------------------------------
% 72.04/10.68  % (3066159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.04/10.68  % (3066159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.04/10.68  % (3066159)CaDiCaL version: 2.1.3
% 72.04/10.68  % (3066159)Termination reason: Instruction limit
% 72.04/10.68  % (3066159)Termination phase: Saturation
% 76.44/11.19  % (3066159)Time elapsed: 0.186 s
% 76.44/11.19  % (3066159)Peak memory usage: 12 MB
% 76.44/11.19  % (3066159)Instructions burned: 429 (million)
% 76.44/11.19  % (3066163)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2522985888:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2904 on theBenchmark for (2904ds/445Mi)
% 76.44/11.19  % (3066139)Instruction limit reached! 
% 76.44/11.19  % (3066139)------------------------------
% 76.44/11.19  % (3066139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.44/11.19  % (3066139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.44/11.19  % (3066139)CaDiCaL version: 2.1.3
% 76.44/11.19  % (3066139)Termination reason: Instruction limit
% 76.44/11.19  % (3066139)Termination phase: Saturation
% 76.44/11.19  % (3066139)Time elapsed: 1.493 s
% 76.44/11.19  % (3066139)Peak memory usage: 14 MB
% 76.44/11.19  % (3066139)Instructions burned: 2022 (million)
% 76.44/11.19  % (3066163)Instruction limit reached! 
% 76.44/11.19  % (3066163)------------------------------
% 76.44/11.19  % (3066163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.44/11.19  % (3066163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.44/11.19  % (3066163)CaDiCaL version: 2.1.3
% 76.44/11.19  % (3066163)Termination reason: Instruction limit
% 76.44/11.19  % (3066163)Termination phase: Saturation
% 76.44/11.19  % (3066163)Time elapsed: 0.200 s
% 76.44/11.19  % (3066163)Peak memory usage: 14 MB
% 76.44/11.19  % (3066163)Instructions burned: 446 (million)
% 76.44/11.19  % (3066165)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=117373018:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2902 on theBenchmark for (2902ds/1324Mi)
% 76.44/11.19  % (3066165)Refutation not found, incomplete strategy
% 76.44/11.19  % (3066165)------------------------------
% 76.44/11.19  % (3066165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.44/11.19  % (3066165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.44/11.19  % (3066165)CaDiCaL version: 2.1.3
% 76.44/11.19  % (3066165)Termination reason: Refutation not found, incomplete strategy
% 76.44/11.19  % (3066165)Time elapsed: 0.003 s
% 76.44/11.19  % (3066165)Peak memory usage: 12 MB
% 76.44/11.19  % (3066165)Instructions burned: 2 (million)
% 76.44/11.19  % (3066165)------------------------------
% 76.44/11.19  % (3066165)------------------------------
% 76.44/11.19  % (3066166)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=3228784919:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2902 on theBenchmark for (2902ds/5401Mi)
% 76.44/11.19  % (3066166)Refutation not found, incomplete strategy
% 76.44/11.19  % (3066166)------------------------------
% 76.44/11.19  % (3066166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.44/11.19  % (3066166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.44/11.19  % (3066166)CaDiCaL version: 2.1.3
% 76.44/11.19  % (3066166)Termination reason: Refutation not found, incomplete strategy
% 76.44/11.19  % (3066166)Time elapsed: 0.0000 s
% 76.44/11.19  % (3066166)Peak memory usage: 11 MB
% 76.44/11.19  % (3066166)------------------------------
% 76.44/11.19  % (3066166)------------------------------
% 76.44/11.19  % (3066168)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1034471944:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2902 on theBenchmark for (2902ds/4070Mi)
% 76.44/11.19  % (3066170)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2713675577:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2902 on theBenchmark for (2902ds/984Mi)
% 76.44/11.19  % (3066170)Refutation not found, incomplete strategy
% 76.44/11.19  % (3066170)------------------------------
% 76.44/11.19  % (3066170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.44/11.19  % (3066170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.44/11.19  % (3066170)CaDiCaL version: 2.1.3
% 76.44/11.19  % (3066170)Termination reason: Refutation not found, incomplete strategy
% 76.44/11.19  % (3066170)Time elapsed: 0.001 s
% 76.44/11.19  % (3066170)Peak memory usage: 12 MB
% 76.44/11.19  % (3066170)Instructions burned: 2 (million)
% 76.44/11.19  % (3066170)------------------------------
% 76.44/11.19  % (3066170)------------------------------
% 76.44/11.19  % (3066173)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3495433839:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2902 on theBenchmark for (2902ds/112Mi)
% 76.44/11.19  % (3066173)Refutation not found, incomplete strategy
% 76.44/11.19  % (3066173)------------------------------
% 88.36/12.87  % (3066173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 88.36/12.87  % (3066173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.36/12.87  % (3066173)CaDiCaL version: 2.1.3
% 88.36/12.87  % (3066173)Termination reason: Refutation not found, incomplete strategy
% 88.36/12.87  % (3066173)Time elapsed: 0.001 s
% 88.36/12.87  % (3066173)Peak memory usage: 12 MB
% 88.36/12.87  % (3066173)Instructions burned: 2 (million)
% 88.36/12.87  % (3066173)------------------------------
% 88.36/12.87  % (3066173)------------------------------
% 88.36/12.87  % (3066175)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1860098473:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2901 on theBenchmark for (2901ds/1144Mi)
% 88.36/12.87  % (3066175)Refutation not found, incomplete strategy
% 88.36/12.87  % (3066175)------------------------------
% 88.36/12.87  % (3066175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 88.36/12.87  % (3066175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.36/12.87  % (3066175)CaDiCaL version: 2.1.3
% 88.36/12.87  % (3066175)Termination reason: Refutation not found, incomplete strategy
% 88.36/12.87  % (3066175)Time elapsed: 0.001 s
% 88.36/12.87  % (3066175)Peak memory usage: 11 MB
% 88.36/12.87  % (3066175)------------------------------
% 88.36/12.87  % (3066175)------------------------------
% 88.36/12.87  % (3066177)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=1761384096:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2901 on theBenchmark for (2901ds/1352Mi)
% 88.36/12.87  % (3066161)Instruction limit reached! 
% 88.36/12.87  % (3066161)------------------------------
% 88.36/12.87  % (3066161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 88.36/12.87  % (3066161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.36/12.87  % (3066161)CaDiCaL version: 2.1.3
% 88.36/12.87  % (3066161)Termination reason: Instruction limit
% 88.36/12.87  % (3066161)Termination phase: Saturation
% 88.36/12.87  % (3066161)Time elapsed: 0.638 s
% 88.36/12.87  % (3066161)Peak memory usage: 13 MB
% 88.36/12.87  % (3066161)Instructions burned: 842 (million)
% 88.36/12.87  % (3066183)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=3740709375:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2899 on theBenchmark for (2899ds/693Mi)
% 88.36/12.87  % (3066177)Instruction limit reached! 
% 88.36/12.87  % (3066177)------------------------------
% 88.36/12.87  % (3066177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 88.36/12.87  % (3066177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.36/12.87  % (3066177)CaDiCaL version: 2.1.3
% 88.36/12.87  % (3066177)Termination reason: Instruction limit
% 88.36/12.87  % (3066177)Termination phase: Saturation
% 88.36/12.87  % (3066177)Time elapsed: 0.429 s
% 88.36/12.87  % (3066177)Peak memory usage: 13 MB
% 88.36/12.87  % (3066177)Instructions burned: 1355 (million)
% 88.36/12.87  % (3066185)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=1902182422:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2897 on theBenchmark for (2897ds/908Mi)
% 88.36/12.87  % (3066141)Instruction limit reached! 
% 88.36/12.87  % (3066141)------------------------------
% 88.36/12.87  % (3066141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 88.36/12.87  % (3066141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.36/12.87  % (3066141)CaDiCaL version: 2.1.3
% 88.36/12.87  % (3066141)Termination reason: Instruction limit
% 88.36/12.87  % (3066141)Termination phase: Saturation
% 88.36/12.87  % (3066141)Time elapsed: 1.623 s
% 88.36/12.87  % (3066141)Peak memory usage: 15 MB
% 88.36/12.87  % (3066141)Instructions burned: 2274 (million)
% 88.36/12.87  % (3066124)Instruction limit reached! 
% 88.36/12.87  % (3066124)------------------------------
% 88.36/12.87  % (3066124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 88.36/12.87  % (3066124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.36/12.87  % (3066124)CaDiCaL version: 2.1.3
% 88.36/12.87  % (3066124)Termination reason: Instruction limit
% 88.36/12.87  % (3066124)Termination phase: Saturation
% 88.36/12.87  % (3066124)Time elapsed: 2.414 s
% 88.36/12.87  % (3066124)Peak memory usage: 15 MB
% 88.36/12.87  % (3066124)Instructions burned: 3167 (million)
% 88.36/12.87  % (3066188)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4122392778:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2896 on theBenchmark for (2896ds/3621Mi)
% 98.31/14.22  % (3066187)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=2173466878:i=6901:add=on:slsql=off:rtra=on:ntd=on_2896 on theBenchmark for (2896ds/6901Mi)
% 98.31/14.22  % (3066147)Instruction limit reached! 
% 98.31/14.22  % (3066147)------------------------------
% 98.31/14.22  % (3066147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066147)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066147)Termination reason: Instruction limit
% 98.31/14.22  % (3066147)Termination phase: Saturation
% 98.31/14.22  % (3066147)Time elapsed: 1.354 s
% 98.31/14.22  % (3066147)Peak memory usage: 13 MB
% 98.31/14.22  % (3066147)Instructions burned: 2221 (million)
% 98.31/14.22  % (3066191)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=2292882903:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2895 on theBenchmark for (2895ds/1160Mi)
% 98.31/14.22  % (3066191)Refutation not found, incomplete strategy
% 98.31/14.22  % (3066191)------------------------------
% 98.31/14.22  % (3066191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066191)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066191)Termination reason: Refutation not found, incomplete strategy
% 98.31/14.22  % (3066191)Time elapsed: 0.003 s
% 98.31/14.22  % (3066191)Peak memory usage: 12 MB
% 98.31/14.22  % (3066191)Instructions burned: 3 (million)
% 98.31/14.22  % (3066191)------------------------------
% 98.31/14.22  % (3066191)------------------------------
% 98.31/14.22  % (3066193)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=2749359626:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2894 on theBenchmark for (2894ds/570Mi)
% 98.31/14.22  % (3066183)Instruction limit reached! 
% 98.31/14.22  % (3066183)------------------------------
% 98.31/14.22  % (3066183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066183)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066183)Termination reason: Instruction limit
% 98.31/14.22  % (3066183)Termination phase: Saturation
% 98.31/14.22  % (3066183)Time elapsed: 0.483 s
% 98.31/14.22  % (3066183)Peak memory usage: 13 MB
% 98.31/14.22  % (3066183)Instructions burned: 694 (million)
% 98.31/14.22  % (3066195)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=3969779209:i=324:bd=all:ins=4:rtra=on_2894 on theBenchmark for (2894ds/324Mi)
% 98.31/14.22  % (3066185)Instruction limit reached! 
% 98.31/14.22  % (3066185)------------------------------
% 98.31/14.22  % (3066185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066185)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066185)Termination reason: Instruction limit
% 98.31/14.22  % (3066185)Termination phase: Saturation
% 98.31/14.22  % (3066185)Time elapsed: 0.407 s
% 98.31/14.22  % (3066185)Peak memory usage: 15 MB
% 98.31/14.22  % (3066185)Instructions burned: 910 (million)
% 98.31/14.22  % (3066197)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=3102560536:s2a=on:i=5712:rtra=on_2892 on theBenchmark for (2892ds/5712Mi)
% 98.31/14.22  % (3066195)Instruction limit reached! 
% 98.31/14.22  % (3066195)------------------------------
% 98.31/14.22  % (3066195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066195)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066195)Termination reason: Instruction limit
% 98.31/14.22  % (3066195)Termination phase: Saturation
% 98.31/14.22  % (3066195)Time elapsed: 0.235 s
% 98.31/14.22  % (3066195)Peak memory usage: 14 MB
% 98.31/14.22  % (3066195)Instructions burned: 324 (million)
% 98.31/14.22  % (3066199)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 98.31/14.22  % (3066199)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 98.31/14.22  % (3066199)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=3856411144:i=901:rtra=on:fsd=on_2891 on theBenchmark for (2891ds/901Mi)
% 98.31/14.22  % (3066193)Instruction limit reached! 
% 98.31/14.22  % (3066193)------------------------------
% 98.31/14.22  % (3066193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066193)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066193)Termination reason: Instruction limit
% 98.31/14.22  % (3066193)Termination phase: Saturation
% 98.31/14.22  % (3066193)Time elapsed: 0.356 s
% 98.31/14.22  % (3066193)Peak memory usage: 14 MB
% 98.31/14.22  % (3066193)Instructions burned: 570 (million)
% 98.31/14.22  % (3066201)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2978500526:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2890 on theBenchmark for (2890ds/2961Mi)
% 98.31/14.22  % (3066201)Refutation not found, incomplete strategy
% 98.31/14.22  % (3066201)------------------------------
% 98.31/14.22  % (3066201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066201)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066201)Termination reason: Refutation not found, incomplete strategy
% 98.31/14.22  % (3066201)Time elapsed: 0.001 s
% 98.31/14.22  % (3066201)Peak memory usage: 12 MB
% 98.31/14.22  % (3066201)Instructions burned: 1 (million)
% 98.31/14.22  % (3066201)------------------------------
% 98.31/14.22  % (3066201)------------------------------
% 98.31/14.22  % (3066203)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=1633338270:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2890 on theBenchmark for (2890ds/3526Mi)
% 98.31/14.22  % (3066199)Instruction limit reached! 
% 98.31/14.22  % (3066199)------------------------------
% 98.31/14.22  % (3066199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066199)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066199)Termination reason: Instruction limit
% 98.31/14.22  % (3066199)Termination phase: Saturation
% 98.31/14.22  % (3066199)Time elapsed: 0.600 s
% 98.31/14.22  % (3066199)Peak memory usage: 13 MB
% 98.31/14.22  % (3066199)Instructions burned: 902 (million)
% 98.31/14.22  % (3066205)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=4210943783:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2885 on theBenchmark for (2885ds/3368Mi)
% 98.31/14.22  % (3066205)Refutation not found, incomplete strategy
% 98.31/14.22  % (3066205)------------------------------
% 98.31/14.22  % (3066205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066205)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066205)Termination reason: Refutation not found, incomplete strategy
% 98.31/14.22  % (3066205)Time elapsed: 0.002 s
% 98.31/14.22  % (3066205)Peak memory usage: 11 MB
% 98.31/14.22  % (3066205)Instructions burned: 1 (million)
% 98.31/14.22  % (3066205)------------------------------
% 98.31/14.22  % (3066205)------------------------------
% 98.31/14.22  % (3066207)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=1174835765:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2884 on theBenchmark for (2884ds/20626Mi)
% 98.31/14.22  % (3066197)Instruction limit reached! 
% 98.31/14.22  % (3066197)------------------------------
% 98.31/14.22  % (3066197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066197)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066197)Termination reason: Instruction limit
% 98.31/14.22  % (3066197)Termination phase: Saturation
% 98.31/14.22  % (3066197)Time elapsed: 1.806 s
% 98.31/14.22  % (3066197)Peak memory usage: 15 MB
% 98.31/14.22  % (3066197)Instructions burned: 5713 (million)
% 98.31/14.22  % (3066213)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1689358143:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2874 on theBenchmark for (2874ds/27154Mi)
% 98.31/14.22  % (3066168)Instruction limit reached! 
% 98.31/14.22  % (3066168)------------------------------
% 98.31/14.22  % (3066168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066168)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066168)Termination reason: Instruction limit
% 98.31/14.22  % (3066168)Termination phase: Saturation
% 98.31/14.22  % (3066168)Time elapsed: 3.032 s
% 98.31/14.22  % (3066168)Peak memory usage: 19 MB
% 98.31/14.22  % (3066168)Instructions burned: 4070 (million)
% 98.31/14.22  % (3066215)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2257522131:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2871 on theBenchmark for (2871ds/515Mi)
% 98.31/14.22  % (3066215)Refutation not found, incomplete strategy
% 98.31/14.22  % (3066215)------------------------------
% 98.31/14.22  % (3066215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066215)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066215)Termination reason: Refutation not found, incomplete strategy
% 98.31/14.22  % (3066215)Time elapsed: 0.002 s
% 98.31/14.22  % (3066215)Peak memory usage: 12 MB
% 98.31/14.22  % (3066215)Instructions burned: 1 (million)
% 98.31/14.22  % (3066215)------------------------------
% 98.31/14.22  % (3066215)------------------------------
% 98.31/14.22  % (3066219)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3556127412:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2871 on theBenchmark for (2871ds/2653Mi)
% 98.31/14.22  % (3066203)Instruction limit reached! 
% 98.31/14.22  % (3066203)------------------------------
% 98.31/14.22  % (3066203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066203)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066203)Termination reason: Instruction limit
% 98.31/14.22  % (3066203)Termination phase: Saturation
% 98.31/14.22  % (3066203)Time elapsed: 1.957 s
% 98.31/14.22  % (3066203)Peak memory usage: 15 MB
% 98.31/14.22  % (3066203)Instructions burned: 3526 (million)
% 98.31/14.22  % (3066221)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
% 98.31/14.22  % (3066221)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=1134483899:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2870 on theBenchmark for (2870ds/1297Mi)
% 98.31/14.22  % (3066188)Instruction limit reached! 
% 98.31/14.22  % (3066188)------------------------------
% 98.31/14.22  % (3066188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.22  % (3066188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.22  % (3066188)CaDiCaL version: 2.1.3
% 98.31/14.22  % (3066188)Termination reason: Instruction limit
% 98.31/14.22  % (3066188)Termination phase: Saturation
% 98.31/14.22  % (3066188)Time elapsed: 2.813 s
% 98.31/14.22  % (3066188)Peak memory usage: 19 MB
% 98.31/14.22  % (3066188)Instructions burned: 3621 (million)
% 98.31/14.22  % (3066223)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=3923274077:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2868 on theBenchmark for (2868ds/1950Mi)
% 98.31/14.22  % (3066207) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3065626-3066207"...
% 98.31/14.22  % (3066207)...printing done.
% 98.31/14.22  % (3066207)Refutation found. Thanks to Tanya!
% 98.31/14.22  % SZS status Unsatisfiable for theBenchmark
% 98.31/14.22  % SZS output start Proof for theBenchmark
% See solution above
% 98.31/14.29  % (3066207)------------------------------
% 98.31/14.29  % (3066207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 98.31/14.29  % (3066207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.31/14.29  % (3066207)CaDiCaL version: 2.1.3
% 98.31/14.29  % (3066207)Termination reason: Refutation
% 98.31/14.29  % (3066207)Time elapsed: 2.357 s
% 98.31/14.29  % (3066207)Peak memory usage: 18 MB
% 98.31/14.29  % (3066207)Instructions burned: 2711 (million)
% 98.31/14.29  % (3065626)Success in time 13.936 s
% 98.31/14.29  % Vampire exiting
%------------------------------------------------------------------------------