↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRA129^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 07:56:01 AM UTC 2026

% Result   : Unsatisfiable 64.04s 10.02s
% Output   : Refutation 66.40s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

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

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

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

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

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

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

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

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

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

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

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

thf(f8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( b @ X0 @ X1 )
      | ~ ( b @ X0 @ X2 )
      | ~ ( b @ X2 @ X1 )
      | ~ ( b @ X3 @ X0 )
      | ~ ( b @ X3 @ X2 ) ),
    inference(rectify,[],[f7]) ).

thf(f9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( b @ X0 @ X1 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X3 @ X0 )
       != $true )
      | ( ( b @ X3 @ X2 )
       != $true ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f10,plain,
    ! [X0: $i] :
      ~ ( r @ X0 @ X0 ),
    inference(rectify,[],[f3]) ).

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

thf(f12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r @ X3 @ X1 )
      | ~ ( r @ X0 @ X3 )
      | ~ ( r @ X0 @ X1 )
      | ~ ( r @ X3 @ X2 ) ),
    inference(rectify,[],[f6]) ).

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

thf(f14,plain,
    ! [X0: $i] :
      ~ ( b @ X0 @ X0 ),
    inference(rectify,[],[f4]) ).

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

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

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

thf(f18,plain,
    ! [X0: $i,X2: $i,X3: $i,X1: $i] :
      ( ( ( b @ X0 @ X2 )
       != $true )
      | ( ( b @ X3 @ X2 )
       != $true )
      | ( ( b @ X3 @ X0 )
       != $true )
      | ( ( b @ X0 @ X1 )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true ) ),
    inference(flattening,[],[f9]) ).

thf(f19,plain,
    ! [X0: $i] :
      ( ( r @ X0 @ X0 )
     != $true ),
    inference(flattening,[],[f11]) ).

thf(f20,plain,
    ! [X2: $i,X1: $i,X0: $i,X3: $i] :
      ( ( ( r @ X3 @ X1 )
       != $true )
      | ( ( r @ X3 @ X2 )
       != $true )
      | ( ( r @ X0 @ X1 )
       != $true )
      | ( ( r @ X0 @ X3 )
       != $true ) ),
    inference(flattening,[],[f13]) ).

thf(f21,plain,
    ! [X0: $i] :
      ( ( b @ X0 @ X0 )
     != $true ),
    inference(flattening,[],[f15]) ).

thf(f22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( r @ X3 @ X1 )
       != $true )
      | ( ( r @ X3 @ X0 )
       != $true )
      | ( ( r @ X2 @ X1 )
       != $true )
      | ( ( r @ X2 @ X3 )
       != $true ) ),
    inference(rectify,[],[f20]) ).

thf(f23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( b @ X0 @ X1 )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X2 @ X0 )
       != $true )
      | ( ( b @ X0 @ X3 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true ) ),
    inference(rectify,[],[f18]) ).

thf(f24,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( s @ X0 )
       != ( s @ X1 ) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f2]) ).

thf(f25,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( r @ X3 @ X1 )
       != $true )
      | ( ( r @ X2 @ X1 )
       != $true )
      | ( ( r @ X2 @ X3 )
       != $true )
      | ( ( r @ X3 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f22]) ).

thf(f26,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X0 @ X3 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X0 @ X1 )
       != $true )
      | ( ( b @ X2 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f23]) ).

thf(f27,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X0 @ X1 )
        = $true )
      | ( X0 = X1 )
      | ( ( r @ X0 @ X1 )
        = $true ) ),
    inference(cnf_transformation,[],[f17]) ).

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

thf(f29,plain,
    ! [X0: $i] :
      ( ( b @ X0 @ X0 )
     != $true ),
    inference(cnf_transformation,[],[f21]) ).

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

thf(f33,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ X0 ) @ z )
        = $true )
      | ( ( r @ ( s @ X0 ) @ z )
        = $true ) ),
    inference(extensionality_resolution,[],[f27,f28]) ).

thf(f34,plain,
    ! [X0: $i] :
      ( ( ( b @ z @ ( s @ X0 ) )
        = $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f27,f28]) ).

thf(f35,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
      | ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
        = $true )
      | ( X0 = X1 ) ),
    inference(extensionality_resolution,[],[f27,f24]) ).

thf(f38,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( X0 = X1 )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( $true != $true )
      | ( ( r @ X0 @ X1 )
        = $true )
      | ( ( b @ X2 @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f26,f27]) ).

thf(f39,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( r @ X0 @ X1 )
        = $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( X0 = X1 ) ),
    inference(trivial_inequality_removal,[],[f38]) ).

thf(f40,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ X0 ) @ z )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( $true
       != ( b @ ( s @ X0 ) @ X1 ) )
      | ( ( b @ z @ X2 )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f26,f33]) ).

thf(f41,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( b @ ( s @ X0 ) @ X1 ) )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ X0 ) @ z )
        = $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ z @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f40]) ).

thf(f47,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ ( s @ X0 ) @ X2 )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( b @ X1 @ ( s @ X0 ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true ) ),
    inference(constrained_superposition,[],[f26,f34]) ).

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

thf(f49,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ z @ X1 )
       != $true )
      | ( ( b @ X1 @ ( s @ X0 ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( ( r @ ( s @ X0 ) @ z )
        = $true ) ),
    inference(constrained_superposition,[],[f48,f33]) ).

thf(f51,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ X0 ) )
       != $true )
      | ( ( r @ ( s @ X0 ) @ z )
        = $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f49]) ).

thf(f53,plain,
    ! [X0: $i] :
      ( ( $true
        = ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
      | ( $true
        = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
    inference(extensionality_resolution,[],[f35,f28]) ).

thf(f54,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f35,f28]) ).

thf(f55,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
        = $true )
      | ( X0 = X1 ) ),
    inference(extensionality_resolution,[],[f35,f24]) ).

thf(f64,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
        = $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( b @ ( s @ z ) @ z )
       != $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( $true
        = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f41,f53]) ).

thf(f65,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( $true
        = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
      | ( $true
       != ( b @ ( s @ z ) @ X2 ) )
      | ( $true
       != ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) ),
    inference(constrained_superposition,[],[f26,f53]) ).

thf(f66,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
      | ( $true
        = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
      | ( $true
       != ( b @ ( s @ z ) @ X2 ) )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f65]) ).

thf(f67,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( b @ ( s @ z ) @ z )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
        = $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( $true
        = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
    inference(trivial_inequality_removal,[],[f64]) ).

thf(f70,definition,
    ( spl0_1
  <=> ( ( b @ ( s @ z ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

thf(f71,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f70]) ).

thf(f73,definition,
    ( spl0_2
  <=> ! [X1: $i] :
        ( ( ( b @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ z @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

thf(f74,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ z @ X1 )
         != $true ) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f73]) ).

thf(f76,definition,
    ( spl0_3
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( $true
          = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

thf(f77,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f76]) ).

thf(f78,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f67,f76,f73,f70]) ).

thf(f87,definition,
    ( spl0_4
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

thf(f88,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f87]) ).

thf(f90,definition,
    ( spl0_5
  <=> ! [X1: $i] :
        ( ( r @ ( s @ z ) @ X1 )
       != $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

thf(f91,plain,
    ( ! [X1: $i] :
        ( ( r @ ( s @ z ) @ X1 )
       != $true )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f90]) ).

thf(f94,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ z @ ( s @ z ) )
       != $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
        = $true )
      | ( $true
        = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
    inference(constrained_superposition,[],[f66,f33]) ).

thf(f100,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( b @ z @ ( s @ z ) )
       != $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
        = $true )
      | ( $true
        = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
    inference(trivial_inequality_removal,[],[f94]) ).

thf(f103,definition,
    ( spl0_6
  <=> ( ( b @ z @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

thf(f104,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | spl0_6 ),
    inference(avatar_component_clause,[],[f103]) ).

thf(f105,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f100,f103,f76,f73]) ).

thf(f111,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( $true != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
      | ( ( r @ z @ ( s @ z ) )
        = $true ) ),
    inference(constrained_superposition,[],[f48,f54]) ).

thf(f112,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
       != $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( $true
        = ( r @ ( s @ z ) @ z ) )
      | ( $true
       != ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f41,f54]) ).

thf(f113,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
      | ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f26,f54]) ).

thf(f114,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( r @ z @ ( s @ z ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f111]) ).

thf(f115,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
       != $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( $true
       != ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( $true
        = ( r @ ( s @ z ) @ z ) ) ),
    inference(trivial_inequality_removal,[],[f112]) ).

thf(f116,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f113]) ).

thf(f118,definition,
    ( spl0_7
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
        | ( ( b @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

thf(f119,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
        | ( ( b @ z @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f118]) ).

thf(f121,definition,
    ( spl0_8
  <=> ( ( r @ z @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

thf(f122,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f121]) ).

thf(f123,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f114,f121,f118]) ).

thf(f125,definition,
    ( spl0_9
  <=> ( $true
      = ( r @ ( s @ z ) @ z ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

thf(f126,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ z ) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f125]) ).

thf(f128,definition,
    ( spl0_10
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( b @ z @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

thf(f129,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ z @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true ) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f128]) ).

thf(f130,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f115,f128,f125]) ).

thf(f134,plain,
    ( ( $true != $true )
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(constrained_superposition,[],[f91,f126]) ).

thf(f135,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f134]) ).

thf(f136,plain,
    ( ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f135]) ).

thf(f146,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ z @ ( s @ z ) )
         != $true ) )
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f129,f53]) ).

thf(f154,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
        | ( ( b @ z @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f146]) ).

thf(f156,definition,
    ( spl0_11
  <=> ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

thf(f157,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f156]) ).

thf(f158,plain,
    ( ~ spl0_6
    | spl0_11
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f154,f128,f156,f103]) ).

thf(f159,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | spl0_6 ),
    inference(constrained_superposition,[],[f104,f34]) ).

thf(f161,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | spl0_6 ),
    inference(trivial_inequality_removal,[],[f159]) ).

thf(f163,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f161,f103,f121]) ).

thf(f178,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f55,f28]) ).

thf(f179,plain,
    ! [X0: $i] :
      ( ( $true
        = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
      | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f55,f28]) ).

thf(f180,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
        = $true )
      | ( X0 = X1 )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f55,f24]) ).

thf(f197,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( $true
       != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
        = $true )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f66,f178]) ).

thf(f199,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( $true != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ z )
       != $true )
      | ( $true
       != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
      | ( ( b @ z @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f41,f178]) ).

thf(f202,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ X2 )
       != $true ) ),
    inference(constrained_superposition,[],[f26,f178]) ).

thf(f203,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
        = $true )
      | ( $true
       != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
      | ( $true
       != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
    inference(trivial_inequality_removal,[],[f197]) ).

thf(f205,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( $true
       != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ z )
       != $true )
      | ( ( b @ z @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f199]) ).

thf(f209,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f202]) ).

thf(f211,definition,
    ( spl0_13
  <=> ! [X1: $i] :
        ( ( ( b @ ( s @ z ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

thf(f212,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f211]) ).

thf(f214,definition,
    ( spl0_14
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

thf(f215,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f214]) ).

thf(f217,definition,
    ( spl0_15
  <=> ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

thf(f218,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | spl0_15 ),
    inference(avatar_component_clause,[],[f217]) ).

thf(f219,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f203,f217,f214,f211]) ).

thf(f221,definition,
    ( spl0_16
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

thf(f222,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f221]) ).

thf(f228,definition,
    ( spl0_18
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

thf(f229,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f228]) ).

thf(f231,definition,
    ( spl0_19
  <=> ! [X1: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
        | ( ( b @ z @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

thf(f232,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
        | ( ( b @ z @ X1 )
         != $true ) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f231]) ).

thf(f234,definition,
    ( spl0_20
  <=> ( ( b @ ( s @ ( s @ z ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

thf(f235,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | spl0_20 ),
    inference(avatar_component_clause,[],[f234]) ).

thf(f236,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f205,f234,f231,f228]) ).

thf(f242,definition,
    ( spl0_22
  <=> ( ( b @ z @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

thf(f243,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_22 ),
    inference(avatar_component_clause,[],[f242]) ).

thf(f248,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( $true != $true )
    | spl0_20 ),
    inference(constrained_superposition,[],[f235,f33]) ).

thf(f251,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | spl0_20 ),
    inference(trivial_inequality_removal,[],[f248]) ).

thf(f253,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | spl0_22 ),
    inference(constrained_superposition,[],[f243,f34]) ).

thf(f256,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_22 ),
    inference(trivial_inequality_removal,[],[f253]) ).

thf(f258,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | spl0_20 ),
    inference(constrained_superposition,[],[f25,f251]) ).

thf(f259,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | spl0_20 ),
    inference(trivial_inequality_removal,[],[f258]) ).

thf(f261,definition,
    ( spl0_24
  <=> ! [X1: $i] :
        ( ( r @ ( s @ ( s @ z ) ) @ X1 )
       != $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

thf(f262,plain,
    ( ! [X1: $i] :
        ( ( r @ ( s @ ( s @ z ) ) @ X1 )
       != $true )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f261]) ).

thf(f264,definition,
    ( spl0_25
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

thf(f265,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f264]) ).

thf(f266,plain,
    ( spl0_24
    | spl0_25
    | spl0_20 ),
    inference(avatar_split_clause,[],[f259,f234,f264,f261]) ).

thf(f268,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( r @ z @ X1 ) )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | spl0_22 ),
    inference(constrained_superposition,[],[f25,f256]) ).

thf(f270,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( r @ z @ X1 ) ) )
    | spl0_22 ),
    inference(trivial_inequality_removal,[],[f268]) ).

thf(f272,definition,
    ( spl0_26
  <=> ! [X1: $i] :
        ( $true
       != ( r @ z @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

thf(f273,plain,
    ( ! [X1: $i] :
        ( $true
       != ( r @ z @ X1 ) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f272]) ).

thf(f274,plain,
    ( spl0_26
    | spl0_25
    | spl0_22 ),
    inference(avatar_split_clause,[],[f270,f242,f264,f272]) ).

thf(f275,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( $true != $true )
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f262,f77]) ).

thf(f276,plain,
    ( ( $true != $true )
    | spl0_20
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f262,f251]) ).

thf(f277,plain,
    ( $false
    | spl0_20
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f276]) ).

thf(f278,plain,
    ( spl0_20
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f277]) ).

thf(f279,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f275]) ).

thf(f281,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f279,f262]) ).

thf(f282,plain,
    ( ~ spl0_3
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f281]) ).

thf(f284,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( z
      = ( s @ z ) )
    | spl0_15 ),
    inference(constrained_superposition,[],[f218,f35]) ).

thf(f286,plain,
    ( ( z
      = ( s @ z ) )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | spl0_15 ),
    inference(trivial_inequality_removal,[],[f284]) ).

thf(f289,plain,
    ( ( z
      = ( s @ z ) )
    | spl0_15
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f286,f262]) ).

thf(f293,plain,
    ( $false
    | spl0_15
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f289,f28]) ).

thf(f294,plain,
    ( spl0_15
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f293]) ).

thf(f297,definition,
    ( spl0_27
  <=> ( ( s @ z )
      = ( s @ ( s @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

thf(f298,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f297]) ).

thf(f300,definition,
    ( spl0_28
  <=> ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

thf(f301,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f300]) ).

thf(f307,definition,
    ( spl0_29
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

thf(f308,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f307]) ).

thf(f310,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_28 ),
    inference(constrained_superposition,[],[f25,f301]) ).

thf(f311,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_28 ),
    inference(trivial_inequality_removal,[],[f310]) ).

thf(f312,plain,
    ( spl0_24
    | spl0_29
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f311,f300,f307,f261]) ).

thf(f313,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ ( s @ ( s @ X0 ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f74,f54]) ).

thf(f315,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( z = X0 )
        | ( ( b @ z @ ( s @ X0 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f74,f35]) ).

thf(f316,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f74,f27]) ).

thf(f317,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ ( s @ ( s @ X0 ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f313]) ).

thf(f319,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f316]) ).

thf(f320,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ X0 ) )
         != $true )
        | ( z = X0 )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f315]) ).

thf(f329,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f317,f34]) ).

thf(f332,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f329]) ).

thf(f335,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( $true
       != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
        = $true ) ),
    inference(constrained_superposition,[],[f209,f53]) ).

thf(f337,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
      | ( $true != $true )
      | ( $true
       != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ z @ ( s @ ( s @ z ) ) )
       != $true ) ),
    inference(constrained_superposition,[],[f209,f33]) ).

thf(f342,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
      | ( ( b @ z @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
      | ( ( b @ z @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f337]) ).

thf(f345,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( $true
       != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f335]) ).

thf(f348,definition,
    ( spl0_30
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

thf(f349,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_30 ),
    inference(avatar_component_clause,[],[f348]) ).

thf(f350,plain,
    ( ~ spl0_30
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f345,f214,f211,f348]) ).

thf(f351,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_30 ),
    inference(constrained_superposition,[],[f349,f54]) ).

thf(f353,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_30 ),
    inference(constrained_superposition,[],[f349,f27]) ).

thf(f354,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_30 ),
    inference(trivial_inequality_removal,[],[f353]) ).

thf(f355,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_30 ),
    inference(trivial_inequality_removal,[],[f351]) ).

thf(f357,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( s @ X0 )
          = ( s @ z ) )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f319,f34]) ).

thf(f360,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( s @ X0 )
          = ( s @ z ) )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f357]) ).

thf(f371,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f320,f34]) ).

thf(f373,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f371]) ).

thf(f378,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( s @ z ) @ X2 ) )
        | ( z = X0 )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f25,f373]) ).

thf(f379,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ z ) @ X2 ) )
        | ( z = X0 )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f378]) ).

thf(f383,definition,
    ( spl0_32
  <=> ! [X0: $i,X1: $i] :
        ( ( z = X0 )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

thf(f384,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true )
        | ( z = X0 ) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f383]) ).

thf(f385,plain,
    ( spl0_5
    | spl0_32
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f379,f73,f383,f90]) ).

thf(f393,definition,
    ( spl0_33
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

thf(f394,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f393]) ).

thf(f424,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(constrained_superposition,[],[f308,f229]) ).

thf(f427,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_18 ),
    inference(constrained_superposition,[],[f25,f229]) ).

thf(f429,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(trivial_inequality_removal,[],[f424]) ).

thf(f430,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f427]) ).

thf(f431,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_18 ),
    inference(constrained_superposition,[],[f430,f229]) ).

thf(f432,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f431]) ).

thf(f433,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f432]) ).

thf(f434,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(constrained_superposition,[],[f433,f332]) ).

thf(f438,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f434]) ).

thf(f442,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f438,f222]) ).

thf(f448,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ X1 @ z ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(constrained_superposition,[],[f25,f442]) ).

thf(f449,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true
         != ( r @ X1 @ z ) ) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f448]) ).

thf(f451,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ z ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(constrained_superposition,[],[f449,f442]) ).

thf(f452,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true
         != ( r @ X1 @ z ) )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f451]) ).

thf(f453,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true
         != ( r @ X1 @ z ) ) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f452]) ).

thf(f457,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( s @ z ) @ z ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( z
          = ( s @ ( s @ X0 ) ) ) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(constrained_superposition,[],[f453,f373]) ).

thf(f461,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( z
          = ( s @ ( s @ X0 ) ) )
        | ( $true
         != ( r @ ( s @ z ) @ z ) ) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f457]) ).

thf(f462,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( s @ z ) @ z ) )
        | ( z
          = ( s @ ( s @ X0 ) ) ) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f461]) ).

thf(f475,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( $true
       != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( r @ ( s @ ( s @ z ) ) @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f25,f179]) ).

thf(f476,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( r @ ( s @ ( s @ z ) ) @ X2 )
       != $true )
      | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f475]) ).

thf(f484,definition,
    ( spl0_35
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

thf(f485,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f484]) ).

thf(f486,plain,
    ( spl0_24
    | spl0_35 ),
    inference(avatar_split_clause,[],[f476,f484,f261]) ).

thf(f493,definition,
    ( spl0_37
  <=> ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

thf(f494,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | spl0_37 ),
    inference(avatar_component_clause,[],[f493]) ).

thf(f500,plain,
    ( ( $true != $true )
    | ~ spl0_24
    | ~ spl0_28 ),
    inference(constrained_superposition,[],[f262,f301]) ).

thf(f501,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_28 ),
    inference(trivial_inequality_removal,[],[f500]) ).

thf(f502,plain,
    ( ~ spl0_24
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f501]) ).

thf(f540,definition,
    ( spl0_38
  <=> ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

thf(f541,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f540]) ).

thf(f708,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( r @ X3 @ X2 )
        = $true )
      | ( $true != $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( X0 = X1 )
      | ( ( b @ X3 @ X0 )
       != $true )
      | ( X2 = X3 )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( r @ X0 @ X1 )
        = $true ) ),
    inference(constrained_superposition,[],[f39,f27]) ).

thf(f709,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ X0 ) @ z )
        = $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ X2 @ X1 )
        = $true )
      | ( $true != $true )
      | ( X1 = X2 )
      | ( $true
       != ( b @ ( s @ X0 ) @ X1 ) )
      | ( ( b @ X2 @ ( s @ X0 ) )
       != $true ) ),
    inference(constrained_superposition,[],[f39,f33]) ).

thf(f716,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ X0 ) )
       != $true )
      | ( X1 = X2 )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( ( r @ X2 @ X1 )
        = $true )
      | ( $true != $true )
      | ( ( b @ X2 @ z )
       != $true ) ),
    inference(constrained_superposition,[],[f39,f34]) ).

thf(f721,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( b @ ( s @ X0 ) @ X1 ) )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X2 @ ( s @ X0 ) )
       != $true )
      | ( ( r @ X2 @ X1 )
        = $true )
      | ( X1 = X2 )
      | ( ( r @ ( s @ X0 ) @ z )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f709]) ).

thf(f722,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ X0 ) )
       != $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( X1 = X2 )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( r @ X2 @ X1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f716]) ).

thf(f723,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X3 @ X0 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( X2 = X3 )
      | ( ( r @ X3 @ X2 )
        = $true )
      | ( ( r @ X0 @ X1 )
        = $true )
      | ( X0 = X1 )
      | ( ( b @ X2 @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f708]) ).

thf(f726,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( $true != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( X1 = X3 )
      | ( X0 = X2 )
      | ( ( r @ X1 @ X3 )
        = $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( r @ X0 @ X1 )
        = $true )
      | ( ( r @ X0 @ X2 )
        = $true ) ),
    inference(constrained_superposition,[],[f723,f27]) ).

thf(f735,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ X3 )
       != $true )
      | ( ( r @ X1 @ X3 )
        = $true )
      | ( ( r @ X0 @ X1 )
        = $true )
      | ( X1 = X3 )
      | ( X0 = X1 )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( X0 = X2 )
      | ( ( r @ X0 @ X2 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f726]) ).

thf(f746,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true
          = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f157,f33]) ).

thf(f748,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f746]) ).

thf(f751,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(constrained_superposition,[],[f429,f748]) ).

thf(f768,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f751]) ).

thf(f769,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(trivial_inequality_removal,[],[f768]) ).

thf(f773,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( X2 = X3 )
      | ( X0 = X3 )
      | ( X1 = X2 )
      | ( ( r @ X2 @ X1 )
        = $true )
      | ( $true != $true )
      | ( ( b @ X2 @ X0 )
       != $true )
      | ( ( r @ X3 @ X0 )
        = $true )
      | ( ( r @ X0 @ X1 )
        = $true )
      | ( ( r @ X3 @ X2 )
        = $true )
      | ( X0 = X1 ) ),
    inference(constrained_superposition,[],[f735,f27]) ).

thf(f790,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ X0 )
       != $true )
      | ( ( r @ X3 @ X2 )
        = $true )
      | ( X1 = X2 )
      | ( X0 = X1 )
      | ( ( r @ X3 @ X0 )
        = $true )
      | ( X2 = X3 )
      | ( X0 = X3 )
      | ( ( r @ X2 @ X1 )
        = $true )
      | ( ( r @ X0 @ X1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f773]) ).

thf(f801,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ X1 @ ( s @ z ) )
        = $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( $true != $true )
      | ( ( b @ z @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( s @ z )
        = X1 ) ),
    inference(constrained_superposition,[],[f722,f54]) ).

thf(f806,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( s @ z )
        = X1 )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ X1 @ ( s @ z ) )
        = $true )
      | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ z @ ( s @ z ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f801]) ).

thf(f819,plain,
    ! [X0: $i] :
      ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ z )
       != $true )
      | ( ( b @ z @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
        = $true )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f51,f54]) ).

thf(f823,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ z ) @ z )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
        = $true )
      | ( ( b @ z @ ( s @ z ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f819]) ).

thf(f865,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f180,f28]) ).

thf(f906,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( X1 = X2 )
      | ( X0 = X2 )
      | ( X0 = X3 )
      | ( ( r @ X2 @ X1 )
        = $true )
      | ( ( r @ X2 @ X0 )
        = $true )
      | ( X1 = X3 )
      | ( ( r @ X1 @ X3 )
        = $true )
      | ( ( r @ X0 @ X3 )
        = $true )
      | ( $true != $true )
      | ( X0 = X1 )
      | ( ( r @ X0 @ X1 )
        = $true ) ),
    inference(constrained_superposition,[],[f790,f27]) ).

thf(f920,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( r @ X2 @ X1 )
        = $true )
      | ( X0 = X3 )
      | ( X0 = X2 )
      | ( X1 = X3 )
      | ( X0 = X1 )
      | ( ( r @ X0 @ X3 )
        = $true )
      | ( ( r @ X2 @ X0 )
        = $true )
      | ( ( r @ X1 @ X3 )
        = $true )
      | ( X1 = X2 )
      | ( ( r @ X0 @ X1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f906]) ).

thf(f1238,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
       != $true )
      | ( $true
       != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f209,f865]) ).

thf(f1240,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
       != $true )
      | ( $true
        = ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
      | ( $true != $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f66,f865]) ).

thf(f1254,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ X1 @ X2 )
       != $true ) ),
    inference(constrained_superposition,[],[f26,f865]) ).

thf(f1257,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( $true
       != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f1238]) ).

thf(f1261,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( $true
        = ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f1240]) ).

thf(f1263,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f1254]) ).

thf(f1277,definition,
    ( spl0_43
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

thf(f1278,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_43 ),
    inference(avatar_component_clause,[],[f1277]) ).

thf(f1280,definition,
    ( spl0_44
  <=> ! [X1: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ z ) ) @ X1 ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

thf(f1281,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f1280]) ).

thf(f1283,definition,
    ( spl0_45
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

thf(f1284,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f1283]) ).

thf(f1285,plain,
    ( ~ spl0_43
    | spl0_44
    | spl0_45 ),
    inference(avatar_split_clause,[],[f1257,f1283,f1280,f1277]) ).

thf(f1287,definition,
    ( spl0_46
  <=> ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

thf(f1288,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f1287]) ).

thf(f1301,definition,
    ( spl0_50
  <=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

thf(f1302,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_50 ),
    inference(avatar_component_clause,[],[f1301]) ).

thf(f1305,definition,
    ( spl0_51
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

thf(f1306,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f1305]) ).

thf(f1315,definition,
    ( spl0_54
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

thf(f1316,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f1315]) ).

thf(f1318,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_50 ),
    inference(constrained_superposition,[],[f1302,f34]) ).

thf(f1321,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_50 ),
    inference(trivial_inequality_removal,[],[f1318]) ).

thf(f1323,plain,
    ( spl0_51
    | spl0_50 ),
    inference(avatar_split_clause,[],[f1321,f1301,f1305]) ).

thf(f1354,definition,
    ( spl0_55
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

thf(f1355,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f1354]) ).

thf(f1361,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_44 ),
    inference(constrained_superposition,[],[f1281,f53]) ).

thf(f1371,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_44 ),
    inference(trivial_inequality_removal,[],[f1361]) ).

thf(f1400,definition,
    ( spl0_56
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

thf(f1401,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_56 ),
    inference(avatar_component_clause,[],[f1400]) ).

thf(f1406,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_56 ),
    inference(constrained_superposition,[],[f1401,f54]) ).

thf(f1408,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_56 ),
    inference(constrained_superposition,[],[f1401,f27]) ).

thf(f1409,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_56 ),
    inference(trivial_inequality_removal,[],[f1406]) ).

thf(f1410,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_56 ),
    inference(trivial_inequality_removal,[],[f1408]) ).

thf(f1415,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( $true
        = ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(constrained_superposition,[],[f1263,f53]) ).

thf(f1423,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
       != $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( $true
        = ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f1415]) ).

thf(f1466,definition,
    ( spl0_58
  <=> ! [X2: $i] :
        ( $true
       != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

thf(f1467,plain,
    ( ! [X2: $i] :
        ( $true
       != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f1466]) ).

thf(f1984,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ z ) )
    | spl0_9 ),
    inference(avatar_component_clause,[],[f125]) ).

thf(f1987,definition,
    ( spl0_64
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

thf(f1988,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f1987]) ).

thf(f1989,plain,
    ( ~ spl0_15
    | spl0_64
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1371,f1280,f1987,f217]) ).

thf(f1991,definition,
    ( spl0_65
  <=> ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

thf(f1992,plain,
    ( ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f1991]) ).

thf(f1994,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( s @ z ) @ z ) ) )
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f462,f28]) ).

thf(f2013,definition,
    ( spl0_70
  <=> ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

thf(f2014,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f2013]) ).

thf(f2028,definition,
    ( spl0_73
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

thf(f2029,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f2028]) ).

thf(f2038,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_64 ),
    inference(avatar_component_clause,[],[f1987]) ).

thf(f2046,plain,
    ( spl0_65
    | ~ spl0_9
    | ~ spl0_2
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1994,f228,f221,f73,f125,f1991]) ).

thf(f2052,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | spl0_28 ),
    inference(avatar_component_clause,[],[f300]) ).

thf(f2055,definition,
    ( spl0_78
  <=> ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

thf(f2056,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f2055]) ).

thf(f2057,plain,
    ( spl0_78
    | spl0_46
    | spl0_56 ),
    inference(avatar_split_clause,[],[f1410,f1400,f1287,f2055]) ).

thf(f2058,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f493]) ).

thf(f2060,plain,
    ( spl0_46
    | spl0_56 ),
    inference(avatar_split_clause,[],[f1409,f1400,f1287]) ).

thf(f2063,definition,
    ( spl0_79
  <=> ! [X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

thf(f2064,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f2063]) ).

thf(f2066,definition,
    ( spl0_80
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

thf(f2067,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f2066]) ).

thf(f2069,definition,
    ( spl0_81
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

thf(f2070,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_81 ),
    inference(avatar_component_clause,[],[f2069]) ).

thf(f2071,plain,
    ( spl0_79
    | spl0_80
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1261,f2069,f2066,f2063]) ).

thf(f2073,definition,
    ( spl0_82
  <=> ! [X0: $i] :
        ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

thf(f2074,plain,
    ( ! [X0: $i] :
        ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f2073]) ).

thf(f2076,plain,
    ( ~ spl0_56
    | spl0_79
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1423,f2066,f2063,f1400]) ).

thf(f2086,plain,
    ( ( $true != $true )
    | ~ spl0_26
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f273,f1306]) ).

thf(f2087,plain,
    ( ( $true != $true )
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(constrained_superposition,[],[f273,f122]) ).

thf(f2089,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_26 ),
    inference(trivial_inequality_removal,[],[f2087]) ).

thf(f2090,plain,
    ( ~ spl0_8
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f2089]) ).

thf(f2091,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f2086]) ).

thf(f2092,plain,
    ( ~ spl0_26
    | ~ spl0_51 ),
    inference(avatar_contradiction_clause,[],[f2091]) ).

thf(f2094,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ z @ X1 ) )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( z = X0 )
        | ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( z
          = ( s @ z ) )
        | ( z = X1 )
        | ( ( r @ X0 @ X1 )
          = $true )
        | ( X0 = X1 )
        | ( ( r @ X0 @ z )
          = $true ) )
    | spl0_9 ),
    inference(constrained_superposition,[],[f1984,f920]) ).

thf(f2095,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( X0 = X1 )
        | ( z = X0 )
        | ( z = X1 )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z
          = ( s @ z ) )
        | ( ( r @ X0 @ X1 )
          = $true )
        | ( $true
          = ( r @ z @ X1 ) ) )
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f2094]) ).

thf(f2096,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( X0 = X1 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ X1 )
          = $true )
        | ( $true
          = ( r @ z @ X1 ) )
        | ( z = X1 ) )
    | spl0_9 ),
    inference(forward_subsumption_resolution,[],[f2095,f28]) ).

thf(f2109,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( z = X0 )
        | ( $true != $true )
        | ( $true
         != ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(constrained_superposition,[],[f384,f301]) ).

thf(f2115,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
        | ( z = X0 )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(trivial_inequality_removal,[],[f2109]) ).

thf(f2121,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_14
    | ~ spl0_58 ),
    inference(constrained_superposition,[],[f1467,f215]) ).

thf(f2130,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_58 ),
    inference(trivial_inequality_removal,[],[f2121]) ).

thf(f2134,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f2130,f1467]) ).

thf(f2135,plain,
    ( ~ spl0_14
    | ~ spl0_58 ),
    inference(avatar_contradiction_clause,[],[f2134]) ).

thf(f2166,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_79 ),
    inference(constrained_superposition,[],[f2064,f33]) ).

thf(f2167,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_79 ),
    inference(constrained_superposition,[],[f2064,f35]) ).

thf(f2168,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
          = $true )
        | ( $true != $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_79 ),
    inference(constrained_superposition,[],[f2064,f27]) ).

thf(f2170,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_79 ),
    inference(trivial_inequality_removal,[],[f2167]) ).

thf(f2171,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_79 ),
    inference(trivial_inequality_removal,[],[f2166]) ).

thf(f2173,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 ) )
    | ~ spl0_79 ),
    inference(trivial_inequality_removal,[],[f2168]) ).

thf(f2176,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true != $true )
    | ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_73 ),
    inference(constrained_superposition,[],[f2029,f179]) ).

thf(f2185,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_73 ),
    inference(trivial_inequality_removal,[],[f2176]) ).

thf(f2192,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_28
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f2185,f301]) ).

thf(f2200,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_28
    | ~ spl0_73 ),
    inference(constrained_superposition,[],[f41,f2192]) ).

thf(f2216,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_28
    | ~ spl0_73 ),
    inference(trivial_inequality_removal,[],[f2200]) ).

thf(f2229,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_28
    | spl0_37
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f2216,f494]) ).

thf(f2231,definition,
    ( spl0_85
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

thf(f2232,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f2231]) ).

thf(f2236,definition,
    ( spl0_86
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

thf(f2237,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_86 ),
    inference(avatar_component_clause,[],[f2236]) ).

thf(f2239,definition,
    ( spl0_87
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

thf(f2240,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f2239]) ).

thf(f2241,plain,
    ( ~ spl0_86
    | spl0_87
    | ~ spl0_28
    | spl0_37
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2229,f2028,f493,f300,f2239,f2236]) ).

thf(f2270,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f485,f1306]) ).

thf(f2283,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f2270]) ).

thf(f2289,definition,
    ( spl0_89
  <=> ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

thf(f2290,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f2289]) ).

thf(f2291,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_70 ),
    inference(avatar_component_clause,[],[f2013]) ).

thf(f2292,plain,
    ( spl0_89
    | ~ spl0_70
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f2283,f1305,f484,f2013,f2289]) ).

thf(f2364,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ z ) @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_79 ),
    inference(constrained_superposition,[],[f2173,f33]) ).

thf(f2369,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_79 ),
    inference(trivial_inequality_removal,[],[f2364]) ).

thf(f2428,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_89 ),
    inference(avatar_component_clause,[],[f2289]) ).

thf(f2431,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( z = X0 )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
          = $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
    | ~ spl0_79 ),
    inference(constrained_superposition,[],[f2170,f35]) ).

thf(f2433,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
          = $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( z = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_79 ),
    inference(trivial_inequality_removal,[],[f2431]) ).

thf(f2468,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | spl0_54 ),
    inference(avatar_component_clause,[],[f1315]) ).

thf(f2474,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | spl0_54 ),
    inference(constrained_superposition,[],[f2468,f215]) ).

thf(f2475,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_18
    | spl0_54 ),
    inference(constrained_superposition,[],[f2468,f229]) ).

thf(f2480,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | spl0_54 ),
    inference(trivial_inequality_removal,[],[f2474]) ).

thf(f2481,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_18
    | spl0_54 ),
    inference(trivial_inequality_removal,[],[f2475]) ).

thf(f2486,plain,
    ( spl0_64
    | ~ spl0_14
    | spl0_54 ),
    inference(avatar_split_clause,[],[f2480,f1315,f214,f1987]) ).

thf(f2497,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
        | ( z = X0 )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_79 ),
    inference(constrained_superposition,[],[f25,f2433]) ).

thf(f2498,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( z = X0 )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_79 ),
    inference(trivial_inequality_removal,[],[f2497]) ).

thf(f2510,definition,
    ( spl0_94
  <=> ! [X0: $i,X1: $i] :
        ( ( z = X0 )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

thf(f2511,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( z = X0 )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f2510]) ).

thf(f2512,plain,
    ( spl0_58
    | spl0_94
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2498,f2063,f2510,f1466]) ).

thf(f2537,definition,
    ( spl0_97
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( $true
         != ( r @ X1 @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

thf(f2538,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( $true
         != ( r @ X1 @ z ) ) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f2537]) ).

thf(f2540,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | spl0_9
    | ~ spl0_79 ),
    inference(forward_subsumption_resolution,[],[f2369,f1984]) ).

thf(f2542,definition,
    ( spl0_98
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

thf(f2543,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f2542]) ).

thf(f2550,definition,
    ( spl0_100
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

thf(f2551,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f2550]) ).

thf(f2552,plain,
    ( ~ spl0_1
    | spl0_100
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2171,f2063,f2550,f70]) ).

thf(f2553,plain,
    ( spl0_100
    | ~ spl0_18
    | spl0_54 ),
    inference(avatar_split_clause,[],[f2481,f1315,f228,f2550]) ).

thf(f2555,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | spl0_9
    | ~ spl0_79 ),
    inference(forward_subsumption_resolution,[],[f2540,f28]) ).

thf(f2556,plain,
    ( spl0_100
    | spl0_9
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2555,f2063,f125,f2550]) ).

thf(f2562,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | spl0_86 ),
    inference(constrained_superposition,[],[f2237,f33]) ).

thf(f2565,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | spl0_86 ),
    inference(trivial_inequality_removal,[],[f2562]) ).

thf(f2623,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(constrained_superposition,[],[f433,f769]) ).

thf(f2632,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f2623]) ).

thf(f2633,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(trivial_inequality_removal,[],[f2632]) ).

thf(f2639,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f2633,f222]) ).

thf(f2641,plain,
    ( spl0_38
    | ~ spl0_11
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f2639,f307,f228,f221,f156,f540]) ).

thf(f2694,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_35
    | ~ spl0_80 ),
    inference(constrained_superposition,[],[f485,f2067]) ).

thf(f2701,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
        | ( $true
          = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_35
    | ~ spl0_80 ),
    inference(trivial_inequality_removal,[],[f2694]) ).

thf(f2707,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_80 ),
    inference(forward_subsumption_resolution,[],[f2701,f308]) ).

thf(f2711,definition,
    ( spl0_102
  <=> ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
       != $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

thf(f2712,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
       != $true )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f2711]) ).

thf(f2713,plain,
    ( spl0_102
    | spl0_89
    | ~ spl0_29
    | ~ spl0_35
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f2707,f2066,f484,f307,f2289,f2711]) ).

thf(f2755,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | spl0_8 ),
    inference(avatar_component_clause,[],[f121]) ).

thf(f2953,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true != $true )
        | ( $true
         != ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
        | ( $true
          = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( z = X0 ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f2511,f179]) ).

thf(f2963,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( $true
         != ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( $true
          = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f2953]) ).

thf(f2969,definition,
    ( spl0_106
  <=> ! [X0: $i] :
        ( ( z = X0 )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true
         != ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

thf(f2970,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( z = X0 ) )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f2969]) ).

thf(f2971,plain,
    ( spl0_89
    | spl0_106
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2963,f2510,f2969,f2289]) ).

thf(f3001,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f1284,f2712]) ).

thf(f3016,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(constrained_superposition,[],[f25,f3001]) ).

thf(f3021,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
         != $true ) )
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(trivial_inequality_removal,[],[f3016]) ).

thf(f3036,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f342,f242,f231,f228]) ).

thf(f3052,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ z ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_19 ),
    inference(constrained_superposition,[],[f232,f27]) ).

thf(f3056,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ X0 ) )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f3052]) ).

thf(f3084,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(constrained_superposition,[],[f3021,f179]) ).

thf(f3093,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(trivial_inequality_removal,[],[f3084]) ).

thf(f3103,definition,
    ( spl0_109
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

thf(f3104,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f3103]) ).

thf(f3106,definition,
    ( spl0_110
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

thf(f3108,plain,
    ( spl0_109
    | ~ spl0_110
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f3093,f2711,f1283,f3106,f3103]) ).

thf(f3112,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_46 ),
    inference(avatar_component_clause,[],[f1287]) ).

thf(f3209,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f3106]) ).

thf(f3236,definition,
    ( spl0_114
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

thf(f3237,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f3236]) ).

thf(f3239,plain,
    ( ( $true != $true )
    | ~ spl0_82
    | spl0_89 ),
    inference(constrained_superposition,[],[f2428,f2074]) ).

thf(f3264,plain,
    ( $false
    | ~ spl0_82
    | spl0_89 ),
    inference(trivial_inequality_removal,[],[f3239]) ).

thf(f3265,plain,
    ( ~ spl0_82
    | spl0_89 ),
    inference(avatar_contradiction_clause,[],[f3264]) ).

thf(f3330,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( z = X0 )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
    | ~ spl0_19 ),
    inference(constrained_superposition,[],[f3056,f27]) ).

thf(f3332,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ z ) ) @ X0 ) )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ z @ X0 )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f3330]) ).

thf(f3338,plain,
    ( ! [X0: $i] :
        ( ( ( s @ X0 )
          = z )
        | ( $true != $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_19
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(constrained_superposition,[],[f2115,f3332]) ).

thf(f3339,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ z @ X0 )
          = $true )
        | ( ( r @ X1 @ X0 )
         != $true )
        | ( z = X0 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X2 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_19 ),
    inference(constrained_superposition,[],[f25,f3332]) ).

thf(f3369,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( z = X0 )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ X1 @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X2 )
         != $true )
        | ( ( r @ z @ X0 )
          = $true ) )
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f3339]) ).

thf(f3373,plain,
    ( ! [X0: $i] :
        ( ( ( s @ X0 )
          = z )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( z = X0 )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_19
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f3338]) ).

thf(f3374,plain,
    ( ! [X0: $i] :
        ( ( ( s @ X0 )
          = z )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( z = X0 )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) ) )
    | ~ spl0_19
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(trivial_inequality_removal,[],[f3373]) ).

thf(f3379,definition,
    ( spl0_115
  <=> ! [X0: $i,X1: $i] :
        ( ( z = X0 )
        | ( ( r @ z @ X0 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

thf(f3380,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X1 @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f3379]) ).

thf(f3381,plain,
    ( spl0_24
    | spl0_115
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f3369,f231,f3379,f261]) ).

thf(f3382,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( z = X0 ) )
    | ~ spl0_19
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f3374,f28]) ).

thf(f3415,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( z = X0 )
        | ( ( r @ z @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( $true
         != ( r @ X1 @ z ) )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true ) )
    | ~ spl0_19
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(constrained_superposition,[],[f25,f3382]) ).

thf(f3420,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ z ) )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( z = X0 )
        | ( ( r @ z @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true ) )
    | ~ spl0_19
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(trivial_inequality_removal,[],[f3415]) ).

thf(f3427,definition,
    ( spl0_117
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ z ) )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( z = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

thf(f3428,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ X0 ) )
         != $true )
        | ( $true
         != ( r @ X1 @ z ) )
        | ( z = X0 )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) ) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f3427]) ).

thf(f3429,plain,
    ( spl0_26
    | spl0_117
    | ~ spl0_19
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f3420,f383,f300,f231,f3427,f272]) ).

thf(f3584,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
          = $true )
        | ( z = X0 )
        | ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_16
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f3380,f222]) ).

thf(f3587,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( z
          = ( s @ z ) )
        | ( z = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_2
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f3380,f373]) ).

thf(f3594,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ z @ X0 )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( z = X0 ) )
    | ~ spl0_16
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f3584]) ).

thf(f3597,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
          = $true )
        | ( z
          = ( s @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( z = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_2
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f3587]) ).

thf(f3602,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ z @ X0 )
          = $true ) )
    | ~ spl0_2
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f3597,f28]) ).

thf(f3606,definition,
    ( spl0_119
  <=> ! [X0: $i] :
        ( ( ( r @ z @ X0 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( z = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

thf(f3607,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
          = $true )
        | ( z = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f3606]) ).

thf(f3609,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( ( r @ z @ X0 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_2
    | spl0_70
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f3602,f2291]) ).

thf(f3612,definition,
    ( spl0_120
  <=> ! [X1: $i] :
        ( ( z = X1 )
        | ( ( s @ ( s @ z ) )
          = X1 )
        | ( $true
          = ( r @ z @ X1 ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

thf(f3613,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true )
        | ( $true
          = ( r @ z @ X1 ) )
        | ( z = X1 )
        | ( ( s @ ( s @ z ) )
          = X1 ) )
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f3612]) ).

thf(f3615,plain,
    ( spl0_119
    | ~ spl0_2
    | spl0_70
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3609,f3379,f2013,f73,f3606]) ).

thf(f3616,plain,
    ( spl0_119
    | ~ spl0_16
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3594,f3379,f221,f3606]) ).

thf(f3877,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_46
    | ~ spl0_114 ),
    inference(constrained_superposition,[],[f3237,f1288]) ).

thf(f3882,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_35
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f485,f1288]) ).

thf(f3894,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_114 ),
    inference(trivial_inequality_removal,[],[f3877]) ).

thf(f3895,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_35
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f3882]) ).

thf(f3901,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_46
    | spl0_89 ),
    inference(forward_subsumption_resolution,[],[f3895,f2428]) ).

thf(f3910,plain,
    ( spl0_16
    | spl0_30 ),
    inference(avatar_split_clause,[],[f355,f348,f221]) ).

thf(f3911,plain,
    ( spl0_16
    | spl0_27
    | spl0_30 ),
    inference(avatar_split_clause,[],[f354,f348,f297,f221]) ).

thf(f3915,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_16 ),
    inference(avatar_component_clause,[],[f221]) ).

thf(f3925,plain,
    ( ~ spl0_16
    | ~ spl0_35
    | ~ spl0_46
    | spl0_89 ),
    inference(avatar_split_clause,[],[f3901,f2289,f1287,f484,f221]) ).

thf(f3926,plain,
    ( ~ spl0_16
    | ~ spl0_46
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3894,f3236,f1287,f221]) ).

thf(f3928,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ~ spl0_2
    | spl0_16 ),
    inference(constrained_superposition,[],[f3915,f360]) ).

thf(f3936,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ~ spl0_2
    | spl0_16 ),
    inference(trivial_inequality_removal,[],[f3928]) ).

thf(f3945,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ~ spl0_2
    | spl0_16
    | spl0_70 ),
    inference(forward_subsumption_resolution,[],[f3936,f2291]) ).

thf(f3952,plain,
    ( spl0_27
    | ~ spl0_2
    | spl0_16
    | spl0_70 ),
    inference(avatar_split_clause,[],[f3945,f2013,f221,f73,f297]) ).

thf(f3956,definition,
    ( spl0_128
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

thf(f3957,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f3956]) ).

thf(f3958,plain,
    ( spl0_128
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f823,f103,f70,f3956]) ).

thf(f3960,definition,
    ( spl0_129
  <=> ! [X1: $i] :
        ( ( ( s @ z )
          = X1 )
        | ( ( r @ X1 @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

thf(f3961,plain,
    ( ! [X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X1 ) )
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f3960]) ).

thf(f3963,definition,
    ( spl0_130
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

thf(f3964,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f3963]) ).

thf(f3965,plain,
    ( ~ spl0_6
    | spl0_129
    | spl0_130 ),
    inference(avatar_split_clause,[],[f806,f3963,f3960,f103]) ).

thf(f3975,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
         != $true )
        | ( $true != $true )
        | ( z = X0 )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_32
    | ~ spl0_64 ),
    inference(constrained_superposition,[],[f384,f1988]) ).

thf(f3979,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_64 ),
    inference(constrained_superposition,[],[f25,f1988]) ).

thf(f3984,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_32
    | ~ spl0_64 ),
    inference(trivial_inequality_removal,[],[f3975]) ).

thf(f3985,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_64 ),
    inference(trivial_inequality_removal,[],[f3979]) ).

thf(f3986,plain,
    ( spl0_58
    | spl0_73
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f3985,f1987,f2028,f1466]) ).

thf(f3996,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_51
    | ~ spl0_73 ),
    inference(constrained_superposition,[],[f2029,f1306]) ).

thf(f3997,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_65
    | ~ spl0_73 ),
    inference(constrained_superposition,[],[f2029,f1992]) ).

thf(f4001,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_65
    | ~ spl0_73 ),
    inference(trivial_inequality_removal,[],[f3997]) ).

thf(f4002,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_73 ),
    inference(trivial_inequality_removal,[],[f3996]) ).

thf(f4073,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f48,f2290]) ).

thf(f4075,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_7
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f119,f2290]) ).

thf(f4076,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f116,f2290]) ).

thf(f4077,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f51,f2290]) ).

thf(f4083,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f26,f2290]) ).

thf(f4087,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f4077]) ).

thf(f4089,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f4073]) ).

thf(f4091,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f4083]) ).

thf(f4093,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_7
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f4075]) ).

thf(f4096,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f4076]) ).

thf(f4125,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_55 ),
    inference(constrained_superposition,[],[f178,f1355]) ).

thf(f4227,definition,
    ( spl0_136
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

thf(f4228,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f4227]) ).

thf(f4230,definition,
    ( spl0_137
  <=> ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

thf(f4231,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f4230]) ).

thf(f4233,definition,
    ( spl0_138
  <=> ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

thf(f4234,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f4233]) ).

thf(f4237,definition,
    ( spl0_139
  <=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

thf(f4238,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_139 ),
    inference(avatar_component_clause,[],[f4237]) ).

thf(f4240,definition,
    ( spl0_140
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

thf(f4241,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_140 ),
    inference(avatar_component_clause,[],[f4240]) ).

thf(f4243,definition,
    ( spl0_141
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

thf(f4244,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f4243]) ).

thf(f4256,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f4125,f30]) ).

thf(f4258,definition,
    ( spl0_142
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

thf(f4259,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_142 ),
    inference(avatar_component_clause,[],[f4258]) ).

thf(f4261,definition,
    ( spl0_143
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

thf(f4262,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f4261]) ).

thf(f4264,definition,
    ( spl0_144
  <=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

thf(f4265,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_144 ),
    inference(avatar_component_clause,[],[f4264]) ).

thf(f4269,definition,
    ( spl0_145
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

thf(f4270,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f4269]) ).

thf(f4272,definition,
    ( spl0_146
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

thf(f4273,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_146 ),
    inference(avatar_component_clause,[],[f4272]) ).

thf(f4279,definition,
    ( spl0_147
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

thf(f4280,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f4279]) ).

thf(f4282,definition,
    ( spl0_148
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

thf(f4283,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_148 ),
    inference(avatar_component_clause,[],[f4282]) ).

thf(f4299,plain,
    ( $false
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f4256,f29]) ).

thf(f4300,plain,
    ~ spl0_55,
    inference(avatar_contradiction_clause,[],[f4299]) ).

thf(f4305,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_10
    | ~ spl0_82 ),
    inference(constrained_superposition,[],[f129,f2074]) ).

thf(f4306,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( $true != $true ) )
    | ~ spl0_82 ),
    inference(constrained_superposition,[],[f66,f2074]) ).

thf(f4320,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_10
    | ~ spl0_82 ),
    inference(trivial_inequality_removal,[],[f4305]) ).

thf(f4332,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
    | ~ spl0_82 ),
    inference(trivial_inequality_removal,[],[f4306]) ).

thf(f4340,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true ) )
    | spl0_28
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f4332,f2052]) ).

thf(f4342,definition,
    ( spl0_150
  <=> ! [X0: $i] :
        ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

thf(f4343,plain,
    ( ! [X0: $i] :
        ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f4342]) ).

thf(f4422,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ z ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) )
    | spl0_28
    | ~ spl0_82 ),
    inference(constrained_superposition,[],[f4340,f53]) ).

thf(f4425,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) )
    | spl0_28
    | ~ spl0_82 ),
    inference(trivial_inequality_removal,[],[f4422]) ).

thf(f4429,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | spl0_28
    | ~ spl0_82 ),
    inference(constrained_superposition,[],[f4425,f178]) ).

thf(f4440,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | spl0_28
    | ~ spl0_82 ),
    inference(trivial_inequality_removal,[],[f4429]) ).

thf(f4446,plain,
    ( ~ spl0_30
    | spl0_14
    | spl0_28
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f4440,f2073,f300,f214,f348]) ).

thf(f4451,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f4091,f178]) ).

thf(f4453,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ z ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f4091,f53]) ).

thf(f4455,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f4091,f33]) ).

thf(f4459,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f4455]) ).

thf(f4460,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f4451]) ).

thf(f4461,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ z ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f4453]) ).

thf(f4602,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 )
        | ( ( s @ z )
          = X0 )
        | ( $true != $true ) )
    | ~ spl0_129 ),
    inference(constrained_superposition,[],[f3961,f27]) ).

thf(f4605,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_129 ),
    inference(trivial_inequality_removal,[],[f4602]) ).

thf(f4611,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ X1 @ X0 )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ X2 )
         != $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_129 ),
    inference(constrained_superposition,[],[f25,f4605]) ).

thf(f4617,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( z = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ X2 )
         != $true )
        | ( ( r @ X1 @ X0 )
         != $true ) )
    | ~ spl0_129 ),
    inference(trivial_inequality_removal,[],[f4611]) ).

thf(f4689,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | ( z
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_28
    | ~ spl0_120 ),
    inference(constrained_superposition,[],[f2052,f3613]) ).

thf(f4720,plain,
    ( ( z
      = ( s @ z ) )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_28
    | ~ spl0_120 ),
    inference(trivial_inequality_removal,[],[f4689]) ).

thf(f4741,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_28
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f4720,f28]) ).

thf(f4751,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_8
    | spl0_28
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[],[f4741,f2755]) ).

thf(f4762,plain,
    ( spl0_27
    | spl0_8
    | spl0_28
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f4751,f3612,f300,f121,f297]) ).

thf(f4806,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_27 ),
    inference(constrained_superposition,[],[f54,f298]) ).

thf(f4950,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f4806,f30]) ).

thf(f4984,plain,
    ( $false
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f4950,f29]) ).

thf(f4985,plain,
    ~ spl0_27,
    inference(avatar_contradiction_clause,[],[f4984]) ).

thf(f5039,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(constrained_superposition,[],[f308,f229]) ).

thf(f5041,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f394,f229]) ).

thf(f5047,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f5041]) ).

thf(f5051,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(trivial_inequality_removal,[],[f5039]) ).

thf(f5057,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_18
    | ~ spl0_33
    | spl0_70 ),
    inference(forward_subsumption_resolution,[],[f5047,f2291]) ).

thf(f5059,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
    | ~ spl0_3
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f5051,f77]) ).

thf(f5060,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
    | ~ spl0_3
    | ~ spl0_18
    | ~ spl0_33
    | spl0_70 ),
    inference(forward_subsumption_resolution,[],[f5057,f77]) ).

thf(f5062,plain,
    ( spl0_38
    | ~ spl0_3
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f5059,f307,f228,f76,f540]) ).

thf(f5063,plain,
    ( spl0_38
    | ~ spl0_3
    | ~ spl0_18
    | ~ spl0_33
    | spl0_70 ),
    inference(avatar_split_clause,[],[f5060,f2013,f393,f228,f76,f540]) ).

thf(f5190,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_64
    | ~ spl0_129 ),
    inference(constrained_superposition,[],[f4617,f1988]) ).

thf(f5195,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
          = ( r @ X1 @ z ) )
        | ( z = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( s @ z )
          = X1 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( z = X1 )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_129 ),
    inference(constrained_superposition,[],[f4617,f4605]) ).

thf(f5200,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ z )
          = X1 )
        | ( $true
          = ( r @ X1 @ z ) )
        | ( z = X0 )
        | ( ( s @ z )
          = X0 )
        | ( z = X1 ) )
    | ~ spl0_129 ),
    inference(trivial_inequality_removal,[],[f5195]) ).

thf(f5201,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_64
    | ~ spl0_129 ),
    inference(trivial_inequality_removal,[],[f5190]) ).

thf(f5305,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ z )
          = $true )
        | ( $true
          = ( r @ X1 @ z ) )
        | ( z = X0 )
        | ( $true != $true )
        | ( z = X0 )
        | ( ( r @ X1 @ X0 )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( z = X1 )
        | ( ( s @ z )
          = X1 )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ z )
          = $true ) )
    | ~ spl0_129 ),
    inference(constrained_superposition,[],[f5200,f4605]) ).

thf(f5308,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ X0 )
         != $true )
        | ( z = X0 )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( s @ z )
          = X1 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X1 )
        | ( $true
          = ( r @ X1 @ z ) ) )
    | ~ spl0_129 ),
    inference(duplicate_literal_removal,[],[f5305]) ).

thf(f5309,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ X0 )
         != $true )
        | ( z = X0 )
        | ( $true
          = ( r @ X1 @ z ) )
        | ( z = X1 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ z )
          = X1 )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_129 ),
    inference(trivial_inequality_removal,[],[f5308]) ).

thf(f6050,plain,
    ( ( ( s @ ( s @ z ) )
     != ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_55 ),
    inference(avatar_component_clause,[],[f1354]) ).

thf(f6060,plain,
    ( ( ( s @ z )
     != ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_78 ),
    inference(avatar_component_clause,[],[f2055]) ).

thf(f6118,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_78 ),
    inference(extensionality_resolution,[],[f55,f6060]) ).

thf(f6126,definition,
    ( spl0_169
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

thf(f6127,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f6126]) ).

thf(f6129,definition,
    ( spl0_170
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

thf(f6130,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f6129]) ).

thf(f6131,plain,
    ( spl0_169
    | spl0_170
    | spl0_78 ),
    inference(avatar_split_clause,[],[f6118,f2055,f6129,f6126]) ).

thf(f6133,definition,
    ( spl0_171
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

thf(f6134,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f6133]) ).

thf(f6136,definition,
    ( spl0_172
  <=> ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

thf(f6137,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f6136]) ).

thf(f6140,definition,
    ( spl0_173
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

thf(f6141,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f6140]) ).

thf(f6143,definition,
    ( spl0_174
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

thf(f6144,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f6143]) ).

thf(f6223,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_78 ),
    inference(constrained_superposition,[],[f178,f2056]) ).

thf(f6460,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_78 ),
    inference(forward_subsumption_resolution,[],[f6223,f30]) ).

thf(f6513,plain,
    ( $false
    | ~ spl0_78 ),
    inference(forward_subsumption_resolution,[],[f6460,f29]) ).

thf(f6514,plain,
    ~ spl0_78,
    inference(avatar_contradiction_clause,[],[f6513]) ).

thf(f6526,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ ( s @ X0 ) @ z )
          = $true )
        | ( ( b @ ( s @ X0 ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true ) )
    | spl0_78 ),
    inference(extensionality_resolution,[],[f721,f6060]) ).

thf(f6528,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | spl0_78 ),
    inference(extensionality_resolution,[],[f180,f6060]) ).

thf(f6529,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_78 ),
    inference(extensionality_resolution,[],[f180,f6060]) ).

thf(f6530,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( b @ z @ ( s @ z ) )
         != $true ) )
    | spl0_78 ),
    inference(extensionality_resolution,[],[f722,f6060]) ).

thf(f6531,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) )
    | spl0_78 ),
    inference(extensionality_resolution,[],[f722,f6060]) ).

thf(f6534,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_78 ),
    inference(extensionality_resolution,[],[f55,f6060]) ).

thf(f6541,plain,
    ( spl0_174
    | spl0_173
    | spl0_78 ),
    inference(avatar_split_clause,[],[f6529,f2055,f6140,f6143]) ).

thf(f6542,plain,
    ( spl0_170
    | spl0_169
    | spl0_78 ),
    inference(avatar_split_clause,[],[f6534,f2055,f6126,f6129]) ).

thf(f6543,plain,
    ( spl0_171
    | spl0_172
    | spl0_78 ),
    inference(avatar_split_clause,[],[f6528,f2055,f6136,f6133]) ).

thf(f6546,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | spl0_55 ),
    inference(extensionality_resolution,[],[f180,f6050]) ).

thf(f6547,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_55 ),
    inference(extensionality_resolution,[],[f180,f6050]) ).

thf(f6548,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true ) )
    | spl0_55 ),
    inference(extensionality_resolution,[],[f722,f6050]) ).

thf(f6549,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | spl0_55 ),
    inference(extensionality_resolution,[],[f722,f6050]) ).

thf(f6552,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_55 ),
    inference(extensionality_resolution,[],[f55,f6050]) ).

thf(f6553,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_55 ),
    inference(extensionality_resolution,[],[f55,f6050]) ).

thf(f6554,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_55 ),
    inference(extensionality_resolution,[],[f35,f6050]) ).

thf(f6560,definition,
    ( spl0_176
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

thf(f6561,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f6560]) ).

thf(f6563,definition,
    ( spl0_177
  <=> ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

thf(f6564,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f6563]) ).

thf(f6565,plain,
    ( spl0_176
    | spl0_177
    | spl0_55 ),
    inference(avatar_split_clause,[],[f6546,f1354,f6563,f6560]) ).

thf(f6567,definition,
    ( spl0_178
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

thf(f6568,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f6567]) ).

thf(f6570,definition,
    ( spl0_179
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

thf(f6571,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f6570]) ).

thf(f6572,plain,
    ( spl0_178
    | spl0_179
    | spl0_55 ),
    inference(avatar_split_clause,[],[f6554,f1354,f6570,f6567]) ).

thf(f6574,definition,
    ( spl0_180
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

thf(f6575,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f6574]) ).

thf(f6577,definition,
    ( spl0_181
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

thf(f6578,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f6577]) ).

thf(f6579,plain,
    ( spl0_180
    | spl0_181
    | spl0_55 ),
    inference(avatar_split_clause,[],[f6552,f1354,f6577,f6574]) ).

thf(f6581,definition,
    ( spl0_182
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

thf(f6582,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f6581]) ).

thf(f6584,definition,
    ( spl0_183
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

thf(f6585,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f6584]) ).

thf(f6586,plain,
    ( spl0_182
    | spl0_183
    | spl0_55 ),
    inference(avatar_split_clause,[],[f6553,f1354,f6584,f6581]) ).

thf(f6588,definition,
    ( spl0_184
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

thf(f6589,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f6588]) ).

thf(f6591,definition,
    ( spl0_185
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

thf(f6592,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f6591]) ).

thf(f6593,plain,
    ( spl0_184
    | spl0_185
    | spl0_55 ),
    inference(avatar_split_clause,[],[f6547,f1354,f6591,f6588]) ).

thf(f6606,plain,
    ( ! [X0: $i] :
        ( ( z
          = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( s @ z )
          = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl0_64
    | ~ spl0_129
    | ~ spl0_179 ),
    inference(constrained_superposition,[],[f5201,f6571]) ).

thf(f6656,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( z
          = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_64
    | ~ spl0_129
    | ~ spl0_179 ),
    inference(trivial_inequality_removal,[],[f6606]) ).

thf(f6690,definition,
    ( spl0_186
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).

thf(f6691,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f6690]) ).

thf(f6728,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
        | ( ( s @ z )
          = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_64
    | ~ spl0_129
    | ~ spl0_179 ),
    inference(forward_subsumption_resolution,[],[f6656,f28]) ).

thf(f6737,definition,
    ( spl0_187
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).

thf(f6738,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f6737]) ).

thf(f6742,definition,
    ( spl0_188
  <=> ! [X0: $i] :
        ( $true
       != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).

thf(f6743,plain,
    ( ! [X0: $i] :
        ( $true
       != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f6742]) ).

thf(f6744,plain,
    ( spl0_188
    | spl0_138
    | spl0_187
    | ~ spl0_64
    | ~ spl0_129
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f6728,f6570,f3960,f1987,f6737,f4233,f6742]) ).

thf(f6804,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_138 ),
    inference(constrained_superposition,[],[f179,f4234]) ).

thf(f6999,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f6804,f30]) ).

thf(f7046,plain,
    ( $false
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f6999,f29]) ).

thf(f7047,plain,
    ~ spl0_138,
    inference(avatar_contradiction_clause,[],[f7046]) ).

thf(f7080,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_19
    | ~ spl0_82 ),
    inference(constrained_superposition,[],[f232,f2074]) ).

thf(f7083,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_19 ),
    inference(constrained_superposition,[],[f232,f53]) ).

thf(f7091,plain,
    ( ! [X0: $i] :
        ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
    | ~ spl0_19
    | ~ spl0_82 ),
    inference(trivial_inequality_removal,[],[f7080]) ).

thf(f7094,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f7083]) ).

thf(f7096,plain,
    ( spl0_150
    | ~ spl0_19
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f7091,f2073,f231,f4342]) ).

thf(f7097,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_19
    | spl0_28 ),
    inference(forward_subsumption_resolution,[],[f7094,f2052]) ).

thf(f7098,plain,
    ( ~ spl0_6
    | ~ spl0_19
    | spl0_28 ),
    inference(avatar_split_clause,[],[f7097,f300,f231,f103]) ).

thf(f7099,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_22 ),
    inference(constrained_superposition,[],[f243,f34]) ).

thf(f7101,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_22 ),
    inference(trivial_inequality_removal,[],[f7099]) ).

thf(f7103,plain,
    ( $false
    | spl0_22
    | spl0_70 ),
    inference(forward_subsumption_resolution,[],[f7101,f2291]) ).

thf(f7104,plain,
    ( spl0_22
    | spl0_70 ),
    inference(avatar_contradiction_clause,[],[f7103]) ).

thf(f7120,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_13
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f212,f2290]) ).

thf(f7123,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_13 ),
    inference(constrained_superposition,[],[f212,f33]) ).

thf(f7128,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f7123]) ).

thf(f7131,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f7120]) ).

thf(f7205,definition,
    ( spl0_192
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).

thf(f7206,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_192 ),
    inference(avatar_component_clause,[],[f7205]) ).

thf(f7246,definition,
    ( spl0_193
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).

thf(f7247,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_193 ),
    inference(avatar_component_clause,[],[f7246]) ).

thf(f7659,plain,
    ( ( ( s @ z )
     != ( s @ ( s @ z ) ) )
    | spl0_27 ),
    inference(avatar_component_clause,[],[f297]) ).

thf(f7719,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f1277]) ).

thf(f7767,definition,
    ( spl0_200
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).

thf(f7768,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_200 ),
    inference(avatar_component_clause,[],[f7767]) ).

thf(f7827,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ X0 ) @ z )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | spl0_27 ),
    inference(extensionality_resolution,[],[f721,f7659]) ).

thf(f7828,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_27 ),
    inference(extensionality_resolution,[],[f180,f7659]) ).

thf(f7829,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_27 ),
    inference(extensionality_resolution,[],[f180,f7659]) ).

thf(f7830,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ z @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true ) )
    | spl0_27 ),
    inference(extensionality_resolution,[],[f722,f7659]) ).

thf(f7831,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true ) )
    | spl0_27 ),
    inference(extensionality_resolution,[],[f722,f7659]) ).

thf(f7834,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_27 ),
    inference(extensionality_resolution,[],[f55,f7659]) ).

thf(f7840,plain,
    ( spl0_183
    | spl0_182
    | spl0_27 ),
    inference(avatar_split_clause,[],[f7829,f297,f6581,f6584]) ).

thf(f7841,plain,
    ( spl0_180
    | spl0_181
    | spl0_27 ),
    inference(avatar_split_clause,[],[f7828,f297,f6577,f6574]) ).

thf(f7849,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ( $true != $true )
    | spl0_43 ),
    inference(constrained_superposition,[],[f1278,f35]) ).

thf(f7850,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | spl0_43 ),
    inference(constrained_superposition,[],[f1278,f27]) ).

thf(f7851,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | spl0_43 ),
    inference(trivial_inequality_removal,[],[f7850]) ).

thf(f7854,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_43 ),
    inference(trivial_inequality_removal,[],[f7849]) ).

thf(f7855,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | spl0_43
    | spl0_55 ),
    inference(forward_subsumption_resolution,[],[f7851,f6050]) ).

thf(f7857,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | spl0_27
    | spl0_43 ),
    inference(forward_subsumption_resolution,[],[f7854,f7659]) ).

thf(f7858,plain,
    ( spl0_54
    | spl0_43
    | spl0_55 ),
    inference(avatar_split_clause,[],[f7855,f1354,f1277,f1315]) ).

thf(f7859,plain,
    ( spl0_54
    | spl0_27
    | spl0_43 ),
    inference(avatar_split_clause,[],[f7857,f1277,f297,f1315]) ).

thf(f7861,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( z
      = ( s @ z ) )
    | ~ spl0_32
    | ~ spl0_54
    | ~ spl0_64 ),
    inference(constrained_superposition,[],[f3984,f1316]) ).

thf(f7870,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_25
    | ~ spl0_54 ),
    inference(constrained_superposition,[],[f265,f1316]) ).

thf(f7871,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_29
    | ~ spl0_54 ),
    inference(constrained_superposition,[],[f308,f1316]) ).

thf(f7887,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_54 ),
    inference(trivial_inequality_removal,[],[f7870]) ).

thf(f7896,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( z
      = ( s @ z ) )
    | ~ spl0_32
    | ~ spl0_54
    | ~ spl0_64 ),
    inference(trivial_inequality_removal,[],[f7861]) ).

thf(f7901,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_54 ),
    inference(trivial_inequality_removal,[],[f7871]) ).

thf(f7903,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_38
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[],[f7887,f541]) ).

thf(f7904,plain,
    ( ~ spl0_25
    | ~ spl0_38
    | ~ spl0_54 ),
    inference(avatar_contradiction_clause,[],[f7903]) ).

thf(f7907,plain,
    ( ( z
      = ( s @ z ) )
    | ~ spl0_32
    | ~ spl0_54
    | ~ spl0_64
    | spl0_70 ),
    inference(forward_subsumption_resolution,[],[f7896,f2291]) ).

thf(f7909,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_54
    | ~ spl0_64 ),
    inference(forward_subsumption_resolution,[],[f7901,f1988]) ).

thf(f7910,plain,
    ( ~ spl0_29
    | ~ spl0_54
    | ~ spl0_64 ),
    inference(avatar_contradiction_clause,[],[f7909]) ).

thf(f7914,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_54
    | ~ spl0_64
    | spl0_70 ),
    inference(forward_subsumption_resolution,[],[f7907,f28]) ).

thf(f7915,plain,
    ( ~ spl0_32
    | ~ spl0_54
    | ~ spl0_64
    | spl0_70 ),
    inference(avatar_contradiction_clause,[],[f7914]) ).

thf(f7926,definition,
    ( spl0_210
  <=> ! [X0: $i] :
        ( ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).

thf(f7927,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_210 ),
    inference(avatar_component_clause,[],[f7926]) ).

thf(f7930,plain,
    ( ( $true != $true )
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(constrained_superposition,[],[f262,f2058]) ).

thf(f7940,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(trivial_inequality_removal,[],[f7930]) ).

thf(f7941,plain,
    ( ~ spl0_24
    | ~ spl0_37 ),
    inference(avatar_contradiction_clause,[],[f7940]) ).

thf(f7946,definition,
    ( spl0_211
  <=> ! [X0: $i] :
        ( ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).

thf(f7947,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_211 ),
    inference(avatar_component_clause,[],[f7946]) ).

thf(f7948,plain,
    ( spl0_211
    | ~ spl0_22
    | ~ spl0_1
    | spl0_16
    | spl0_27 ),
    inference(avatar_split_clause,[],[f7831,f297,f221,f70,f242,f7946]) ).

thf(f7950,definition,
    ( spl0_212
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ ( s @ X0 ) @ z )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).

thf(f7951,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ ( s @ X0 ) @ z )
          = $true ) )
    | ~ spl0_212 ),
    inference(avatar_component_clause,[],[f7950]) ).

thf(f7952,plain,
    ( spl0_16
    | ~ spl0_20
    | spl0_212
    | spl0_27 ),
    inference(avatar_split_clause,[],[f7827,f297,f7950,f234,f221]) ).

thf(f7957,plain,
    ( spl0_16
    | spl0_150
    | ~ spl0_20
    | ~ spl0_10
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f4320,f2073,f128,f234,f4342,f221]) ).

thf(f7958,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | spl0_20 ),
    inference(constrained_superposition,[],[f235,f33]) ).

thf(f7961,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | spl0_20 ),
    inference(trivial_inequality_removal,[],[f7958]) ).

thf(f7962,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_150 ),
    inference(constrained_superposition,[],[f4343,f34]) ).

thf(f7964,plain,
    ( ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
    | ~ spl0_150 ),
    inference(trivial_inequality_removal,[],[f7962]) ).

thf(f7966,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | spl0_16
    | ~ spl0_128 ),
    inference(constrained_superposition,[],[f3915,f3957]) ).

thf(f7967,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
          = $true )
        | ( z = X0 )
        | ( ( s @ z )
          = ( s @ ( s @ z ) ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ X0 ) )
        | ( $true != $true )
        | ( z
          = ( s @ ( s @ z ) ) ) )
    | spl0_9
    | spl0_16 ),
    inference(constrained_superposition,[],[f3915,f2096]) ).

thf(f7970,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( z
          = ( s @ ( s @ z ) ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( z = X0 )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ X0 ) )
        | ( ( s @ z )
          = ( s @ ( s @ z ) ) ) )
    | spl0_9
    | spl0_16 ),
    inference(trivial_inequality_removal,[],[f7967]) ).

thf(f7971,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | spl0_16
    | ~ spl0_128 ),
    inference(trivial_inequality_removal,[],[f7966]) ).

thf(f7983,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_43 ),
    inference(constrained_superposition,[],[f66,f7719]) ).

thf(f7987,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_7
    | ~ spl0_43 ),
    inference(constrained_superposition,[],[f119,f7719]) ).

thf(f8005,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f7983]) ).

thf(f8014,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_7
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f7987]) ).

thf(f8026,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(constrained_superposition,[],[f265,f4244]) ).

thf(f8043,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(trivial_inequality_removal,[],[f8026]) ).

thf(f8070,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_192 ),
    inference(constrained_superposition,[],[f7206,f178]) ).

thf(f8072,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | spl0_192 ),
    inference(constrained_superposition,[],[f7206,f35]) ).

thf(f8075,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_192 ),
    inference(trivial_inequality_removal,[],[f8070]) ).

thf(f8077,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_192 ),
    inference(trivial_inequality_removal,[],[f8072]) ).

thf(f8078,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_210 ),
    inference(constrained_superposition,[],[f7927,f54]) ).

thf(f8083,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_210 ),
    inference(trivial_inequality_removal,[],[f8078]) ).

thf(f8084,plain,
    ( spl0_130
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f8083,f7926,f3963]) ).

thf(f8088,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | ~ spl0_211 ),
    inference(constrained_superposition,[],[f7947,f53]) ).

thf(f8096,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | ~ spl0_211 ),
    inference(trivial_inequality_removal,[],[f8088]) ).

thf(f8100,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | spl0_28
    | ~ spl0_211 ),
    inference(forward_subsumption_resolution,[],[f8096,f2052]) ).

thf(f8103,plain,
    ( spl0_8
    | spl0_28
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f8100,f7946,f300,f121]) ).

thf(f8106,plain,
    ( ~ spl0_8
    | ~ spl0_51
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f4002,f2028,f1305,f121]) ).

thf(f8111,plain,
    ( ~ spl0_8
    | ~ spl0_65
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f4001,f2028,f1991,f121]) ).

thf(f8114,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = ( s @ ( s @ z ) ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ X0 ) )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( z = X0 )
        | ( ( r @ z @ X0 )
          = $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) ) )
    | spl0_9
    | spl0_16 ),
    inference(forward_subsumption_resolution,[],[f7970,f28]) ).

thf(f8116,plain,
    ( spl0_37
    | spl0_20 ),
    inference(avatar_split_clause,[],[f7961,f234,f493]) ).

thf(f8119,plain,
    ( ~ spl0_1
    | spl0_37
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f7128,f211,f493,f70]) ).

thf(f8123,definition,
    ( spl0_215
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).

thf(f8124,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_215 ),
    inference(avatar_component_clause,[],[f8123]) ).

thf(f8131,plain,
    ( spl0_46
    | ~ spl0_30
    | spl0_44
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f4096,f2289,f1280,f348,f1287]) ).

thf(f8134,plain,
    ( ~ spl0_56
    | ~ spl0_13
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f7131,f2289,f211,f1400]) ).

thf(f8138,plain,
    ( spl0_46
    | ~ spl0_22
    | ~ spl0_15
    | ~ spl0_7
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f4093,f2289,f118,f217,f242,f1287]) ).

thf(f8140,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ z @ X0 )
          = $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ X0 ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( z = X0 ) )
    | spl0_9
    | spl0_16
    | spl0_27 ),
    inference(forward_subsumption_resolution,[],[f8114,f7659]) ).

thf(f8153,plain,
    ( spl0_37
    | spl0_120
    | spl0_9
    | spl0_16
    | spl0_27 ),
    inference(avatar_split_clause,[],[f8140,f297,f221,f125,f3612,f493]) ).

thf(f8168,plain,
    ( spl0_37
    | spl0_70
    | spl0_16
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f7971,f3956,f221,f2013,f493]) ).

thf(f8480,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | spl0_22 ),
    inference(constrained_superposition,[],[f243,f34]) ).

thf(f8483,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_22 ),
    inference(trivial_inequality_removal,[],[f8480]) ).

thf(f8485,plain,
    ( spl0_70
    | spl0_22 ),
    inference(avatar_split_clause,[],[f8483,f242,f2013]) ).

thf(f8514,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_136 ),
    inference(constrained_superposition,[],[f865,f4228]) ).

thf(f8620,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f8514,f29]) ).

thf(f8636,plain,
    ( $false
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f8620,f30]) ).

thf(f8637,plain,
    ~ spl0_136,
    inference(avatar_contradiction_clause,[],[f8636]) ).

thf(f8667,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_64 ),
    inference(constrained_superposition,[],[f88,f1988]) ).

thf(f8673,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_64 ),
    inference(trivial_inequality_removal,[],[f8667]) ).

thf(f8674,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_64
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f8673,f2551]) ).

thf(f8675,plain,
    ( ~ spl0_4
    | ~ spl0_64
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f8674]) ).

thf(f8676,plain,
    ( spl0_200
    | spl0_54
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f4460,f2289,f1315,f7767]) ).

thf(f8679,definition,
    ( spl0_218
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).

thf(f8680,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | spl0_218 ),
    inference(avatar_component_clause,[],[f8679]) ).

thf(f8682,definition,
    ( spl0_219
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).

thf(f8683,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_219 ),
    inference(avatar_component_clause,[],[f8682]) ).

thf(f8685,plain,
    ( spl0_100
    | spl0_86 ),
    inference(avatar_split_clause,[],[f2565,f2236,f2550]) ).

thf(f8687,definition,
    ( spl0_220
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).

thf(f8688,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_220 ),
    inference(avatar_component_clause,[],[f8687]) ).

thf(f8689,plain,
    ( spl0_220
    | spl0_100
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f4459,f2289,f2550,f8687]) ).

thf(f8712,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f25,f1288]) ).

thf(f8714,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f8712]) ).

thf(f8720,plain,
    ( spl0_73
    | spl0_5
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f8714,f1287,f90,f2028]) ).

thf(f8728,plain,
    ( ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_218 ),
    inference(constrained_superposition,[],[f8680,f27]) ).

thf(f8730,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_218 ),
    inference(trivial_inequality_removal,[],[f8728]) ).

thf(f8733,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_25
    | ~ spl0_141
    | spl0_218 ),
    inference(forward_subsumption_resolution,[],[f8730,f8043]) ).

thf(f8734,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_141
    | spl0_218 ),
    inference(forward_subsumption_resolution,[],[f8733,f28]) ).

thf(f8735,plain,
    ( ~ spl0_25
    | ~ spl0_141
    | spl0_218 ),
    inference(avatar_contradiction_clause,[],[f8734]) ).

thf(f8812,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_219 ),
    inference(constrained_superposition,[],[f8683,f53]) ).

thf(f8819,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_219 ),
    inference(trivial_inequality_removal,[],[f8812]) ).

thf(f8826,definition,
    ( spl0_224
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

thf(f8827,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_224 ),
    inference(avatar_component_clause,[],[f8826]) ).

thf(f8828,plain,
    ( spl0_224
    | ~ spl0_6
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f8819,f8682,f103,f8826]) ).

thf(f8839,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( z
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( s @ z )
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_64
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(constrained_superposition,[],[f5201,f6130]) ).

thf(f8848,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(constrained_superposition,[],[f5309,f6130]) ).

thf(f8859,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( z
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_64
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(trivial_inequality_removal,[],[f8839]) ).

thf(f8860,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(trivial_inequality_removal,[],[f8848]) ).

thf(f8864,definition,
    ( spl0_225
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).

thf(f8865,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f8864]) ).

thf(f8869,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_64
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(forward_subsumption_resolution,[],[f8859,f28]) ).

thf(f8870,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_4
    | ~ spl0_64
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(forward_subsumption_resolution,[],[f8860,f8673]) ).

thf(f8874,definition,
    ( spl0_226
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).

thf(f8875,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_226 ),
    inference(avatar_component_clause,[],[f8874]) ).

thf(f8877,definition,
    ( spl0_227
  <=> ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).

thf(f8878,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_227 ),
    inference(avatar_component_clause,[],[f8877]) ).

thf(f8880,definition,
    ( spl0_228
  <=> ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
       != $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).

thf(f8881,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
       != $true )
    | ~ spl0_228 ),
    inference(avatar_component_clause,[],[f8880]) ).

thf(f8882,plain,
    ( spl0_226
    | spl0_227
    | spl0_228
    | ~ spl0_64
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8869,f6129,f3960,f1987,f8880,f8877,f8874]) ).

thf(f8883,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_64
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(forward_subsumption_resolution,[],[f8870,f28]) ).

thf(f8886,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_64
    | spl0_78
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(forward_subsumption_resolution,[],[f8883,f6060]) ).

thf(f8888,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_4
    | ~ spl0_64
    | spl0_78
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(forward_subsumption_resolution,[],[f8886,f28]) ).

thf(f8890,plain,
    ( spl0_227
    | spl0_226
    | ~ spl0_4
    | ~ spl0_64
    | spl0_78
    | ~ spl0_129
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f8888,f6129,f3960,f2055,f1987,f87,f8874,f8877]) ).

thf(f8897,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f41,f6127]) ).

thf(f8909,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f8897]) ).

thf(f8923,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_4
    | ~ spl0_64
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[],[f8909,f8673]) ).

thf(f8933,definition,
    ( spl0_231
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).

thf(f8934,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_231 ),
    inference(avatar_component_clause,[],[f8933]) ).

thf(f8936,definition,
    ( spl0_232
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).

thf(f8937,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | spl0_232 ),
    inference(avatar_component_clause,[],[f8936]) ).

thf(f8938,plain,
    ( spl0_231
    | ~ spl0_232
    | ~ spl0_4
    | ~ spl0_64
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f8923,f6126,f1987,f87,f8936,f8933]) ).

thf(f8943,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | spl0_232 ),
    inference(constrained_superposition,[],[f8937,f33]) ).

thf(f8946,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | spl0_232 ),
    inference(trivial_inequality_removal,[],[f8943]) ).

thf(f8948,plain,
    ( spl0_226
    | spl0_232 ),
    inference(avatar_split_clause,[],[f8946,f8936,f8874]) ).

thf(f8975,definition,
    ( spl0_234
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).

thf(f8976,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_234 ),
    inference(avatar_component_clause,[],[f8975]) ).

thf(f8978,plain,
    ( spl0_179
    | spl0_178
    | spl0_27 ),
    inference(avatar_split_clause,[],[f7834,f297,f6567,f6570]) ).

thf(f8980,plain,
    ( ( $true != $true )
    | ~ spl0_141
    | ~ spl0_188 ),
    inference(constrained_superposition,[],[f6743,f4244]) ).

thf(f8981,plain,
    ( ( $true != $true )
    | ~ spl0_188
    | ~ spl0_224 ),
    inference(constrained_superposition,[],[f6743,f8827]) ).

thf(f8983,plain,
    ( $false
    | ~ spl0_188
    | ~ spl0_224 ),
    inference(trivial_inequality_removal,[],[f8981]) ).

thf(f8984,plain,
    ( ~ spl0_188
    | ~ spl0_224 ),
    inference(avatar_contradiction_clause,[],[f8983]) ).

thf(f8985,plain,
    ( $false
    | ~ spl0_141
    | ~ spl0_188 ),
    inference(trivial_inequality_removal,[],[f8980]) ).

thf(f8986,plain,
    ( ~ spl0_141
    | ~ spl0_188 ),
    inference(avatar_contradiction_clause,[],[f8985]) ).

thf(f9018,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_114 ),
    inference(constrained_superposition,[],[f3237,f1306]) ).

thf(f9027,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_114 ),
    inference(trivial_inequality_removal,[],[f9018]) ).

thf(f9032,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_70
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[],[f9027,f2014]) ).

thf(f9033,plain,
    ( ~ spl0_51
    | ~ spl0_70
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f9032]) ).

thf(f9040,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_231 ),
    inference(constrained_superposition,[],[f8934,f53]) ).

thf(f9049,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_231 ),
    inference(trivial_inequality_removal,[],[f9040]) ).

thf(f9054,definition,
    ( spl0_235
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).

thf(f9055,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_235 ),
    inference(avatar_component_clause,[],[f9054]) ).

thf(f9056,plain,
    ( spl0_235
    | ~ spl0_6
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f9049,f8933,f103,f9054]) ).

thf(f9064,definition,
    ( spl0_236
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).

thf(f9065,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_236 ),
    inference(avatar_component_clause,[],[f9064]) ).

thf(f9068,plain,
    ( ( $true != $true )
    | ~ spl0_228
    | ~ spl0_235 ),
    inference(constrained_superposition,[],[f8881,f9055]) ).

thf(f9070,plain,
    ( $false
    | ~ spl0_228
    | ~ spl0_235 ),
    inference(trivial_inequality_removal,[],[f9068]) ).

thf(f9071,plain,
    ( ~ spl0_228
    | ~ spl0_235 ),
    inference(avatar_contradiction_clause,[],[f9070]) ).

thf(f9109,definition,
    ( spl0_237
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).

thf(f9110,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_237 ),
    inference(avatar_component_clause,[],[f9109]) ).

thf(f9112,definition,
    ( spl0_238
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).

thf(f9113,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_238 ),
    inference(avatar_component_clause,[],[f9112]) ).

thf(f9115,definition,
    ( spl0_239
  <=> ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).

thf(f9116,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_239 ),
    inference(avatar_component_clause,[],[f9115]) ).

thf(f9119,definition,
    ( spl0_240
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).

thf(f9120,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_240 ),
    inference(avatar_component_clause,[],[f9119]) ).

thf(f9124,definition,
    ( spl0_241
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).

thf(f9125,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_241 ),
    inference(avatar_component_clause,[],[f9124]) ).

thf(f9127,definition,
    ( spl0_242
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).

thf(f9128,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f9127]) ).

thf(f9142,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | spl0_148 ),
    inference(constrained_superposition,[],[f4283,f54]) ).

thf(f9147,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_148 ),
    inference(trivial_inequality_removal,[],[f9142]) ).

thf(f9150,plain,
    ( spl0_137
    | spl0_148 ),
    inference(avatar_split_clause,[],[f9147,f4282,f4230]) ).

thf(f9183,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_239 ),
    inference(constrained_superposition,[],[f9116,f27]) ).

thf(f9185,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_239 ),
    inference(trivial_inequality_removal,[],[f9183]) ).

thf(f9190,definition,
    ( spl0_246
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).

thf(f9191,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_246 ),
    inference(avatar_component_clause,[],[f9190]) ).

thf(f9193,definition,
    ( spl0_247
  <=> ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).

thf(f9194,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_247 ),
    inference(avatar_component_clause,[],[f9193]) ).

thf(f9195,plain,
    ( spl0_246
    | spl0_247
    | spl0_239 ),
    inference(avatar_split_clause,[],[f9185,f9115,f9193,f9190]) ).

thf(f9205,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_117
    | ~ spl0_180 ),
    inference(constrained_superposition,[],[f3428,f6575]) ).

thf(f9209,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_117
    | ~ spl0_180 ),
    inference(trivial_inequality_removal,[],[f9205]) ).

thf(f9214,definition,
    ( spl0_248
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).

thf(f9215,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_248 ),
    inference(avatar_component_clause,[],[f9214]) ).

thf(f9252,definition,
    ( spl0_249
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).

thf(f9253,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_249 ),
    inference(avatar_component_clause,[],[f9252]) ).

thf(f9256,definition,
    ( spl0_250
  <=> ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).

thf(f9257,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_250 ),
    inference(avatar_component_clause,[],[f9256]) ).

thf(f9259,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | spl0_140 ),
    inference(constrained_superposition,[],[f4241,f53]) ).

thf(f9261,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | spl0_140 ),
    inference(constrained_superposition,[],[f4241,f27]) ).

thf(f9263,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_140 ),
    inference(trivial_inequality_removal,[],[f9259]) ).

thf(f9264,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_140 ),
    inference(trivial_inequality_removal,[],[f9261]) ).

thf(f9266,plain,
    ( spl0_224
    | spl0_140 ),
    inference(avatar_split_clause,[],[f9263,f4240,f8826]) ).

thf(f9267,plain,
    ( spl0_224
    | spl0_138
    | spl0_140 ),
    inference(avatar_split_clause,[],[f9264,f4240,f4233,f8826]) ).

thf(f9308,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_97
    | ~ spl0_183 ),
    inference(constrained_superposition,[],[f2538,f6585]) ).

thf(f9317,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_97
    | ~ spl0_183 ),
    inference(trivial_inequality_removal,[],[f9308]) ).

thf(f9322,plain,
    ( $false
    | ~ spl0_97
    | ~ spl0_183
    | ~ spl0_226 ),
    inference(forward_subsumption_resolution,[],[f9317,f8875]) ).

thf(f9323,plain,
    ( ~ spl0_97
    | ~ spl0_183
    | ~ spl0_226 ),
    inference(avatar_contradiction_clause,[],[f9322]) ).

thf(f9330,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | spl0_226 ),
    inference(avatar_component_clause,[],[f8874]) ).

thf(f9353,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_117
    | ~ spl0_180 ),
    inference(forward_subsumption_resolution,[],[f9209,f28]) ).

thf(f9355,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | spl0_187 ),
    inference(avatar_component_clause,[],[f6737]) ).

thf(f9357,definition,
    ( spl0_251
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).

thf(f9358,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_251 ),
    inference(avatar_component_clause,[],[f9357]) ).

thf(f9360,plain,
    ( spl0_141
    | spl0_192 ),
    inference(avatar_split_clause,[],[f8075,f7205,f4243]) ).

thf(f9362,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_78
    | spl0_192 ),
    inference(forward_subsumption_resolution,[],[f8077,f6060]) ).

thf(f9364,plain,
    ( spl0_251
    | ~ spl0_187
    | ~ spl0_117
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f9353,f6574,f3427,f6737,f9357]) ).

thf(f9365,plain,
    ( spl0_141
    | spl0_78
    | spl0_192 ),
    inference(avatar_split_clause,[],[f9362,f7205,f2055,f4243]) ).

thf(f9617,definition,
    ( spl0_252
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).

thf(f9618,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_252 ),
    inference(avatar_component_clause,[],[f9617]) ).

thf(f9663,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_117
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f3428,f6134]) ).

thf(f9669,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_117
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f9663]) ).

thf(f9672,definition,
    ( spl0_253
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).

thf(f9673,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_253 ),
    inference(avatar_component_clause,[],[f9672]) ).

thf(f9675,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_97
    | ~ spl0_173 ),
    inference(constrained_superposition,[],[f2538,f6141]) ).

thf(f9676,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_173 ),
    inference(constrained_superposition,[],[f485,f6141]) ).

thf(f9680,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_173 ),
    inference(constrained_superposition,[],[f25,f6141]) ).

thf(f9683,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_97
    | ~ spl0_173 ),
    inference(trivial_inequality_removal,[],[f9675]) ).

thf(f9685,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_173 ),
    inference(trivial_inequality_removal,[],[f9680]) ).

thf(f9686,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_173 ),
    inference(trivial_inequality_removal,[],[f9676]) ).

thf(f9688,definition,
    ( spl0_254
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).

thf(f9689,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | spl0_254 ),
    inference(avatar_component_clause,[],[f9688]) ).

thf(f9692,plain,
    ( ~ spl0_254
    | ~ spl0_97
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f9683,f6140,f2537,f9688]) ).

thf(f9695,definition,
    ( spl0_255
  <=> ! [X1: $i] :
        ( $true
       != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).

thf(f9696,plain,
    ( ! [X1: $i] :
        ( $true
       != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
    | ~ spl0_255 ),
    inference(avatar_component_clause,[],[f9695]) ).

thf(f9697,plain,
    ( spl0_253
    | spl0_255
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f9685,f6140,f9695,f9672]) ).

thf(f9706,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_65
    | ~ spl0_186 ),
    inference(constrained_superposition,[],[f6691,f1992]) ).

thf(f9714,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_65
    | ~ spl0_186 ),
    inference(trivial_inequality_removal,[],[f9706]) ).

thf(f9719,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_65
    | ~ spl0_186 ),
    inference(forward_subsumption_resolution,[],[f9714,f1306]) ).

thf(f9720,plain,
    ( ~ spl0_51
    | ~ spl0_65
    | ~ spl0_186 ),
    inference(avatar_contradiction_clause,[],[f9719]) ).

thf(f9727,plain,
    ( spl0_65
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f7964,f4342,f1991]) ).

thf(f9728,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_141 ),
    inference(avatar_component_clause,[],[f4243]) ).

thf(f9730,definition,
    ( spl0_257
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).

thf(f9731,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_257 ),
    inference(avatar_component_clause,[],[f9730]) ).

thf(f9734,definition,
    ( spl0_258
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).

thf(f9735,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_258 ),
    inference(avatar_component_clause,[],[f9734]) ).

thf(f9737,definition,
    ( spl0_259
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).

thf(f9738,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_259 ),
    inference(avatar_component_clause,[],[f9737]) ).

thf(f9739,plain,
    ( ~ spl0_258
    | spl0_259
    | ~ spl0_35
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f9686,f6140,f484,f9737,f9734]) ).

thf(f9747,definition,
    ( spl0_261
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).

thf(f9748,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_261 ),
    inference(avatar_component_clause,[],[f9747]) ).

thf(f9751,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_143 ),
    inference(avatar_component_clause,[],[f4261]) ).

thf(f9753,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_218 ),
    inference(constrained_superposition,[],[f8680,f33]) ).

thf(f9756,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_218 ),
    inference(trivial_inequality_removal,[],[f9753]) ).

thf(f9758,plain,
    ( $false
    | spl0_187
    | spl0_218 ),
    inference(forward_subsumption_resolution,[],[f9756,f9355]) ).

thf(f9759,plain,
    ( spl0_187
    | spl0_218 ),
    inference(avatar_contradiction_clause,[],[f9758]) ).

thf(f9764,definition,
    ( spl0_262
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).

thf(f9765,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_262 ),
    inference(avatar_component_clause,[],[f9764]) ).

thf(f9767,definition,
    ( spl0_263
  <=> ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).

thf(f9768,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_263 ),
    inference(avatar_component_clause,[],[f9767]) ).

thf(f9770,plain,
    ( spl0_187
    | spl0_218 ),
    inference(avatar_split_clause,[],[f9756,f8679,f6737]) ).

thf(f9771,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_117
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f9669,f28]) ).

thf(f9773,plain,
    ( ~ spl0_187
    | spl0_262
    | ~ spl0_117
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f9771,f6133,f3427,f9764,f6737]) ).

thf(f9777,definition,
    ( spl0_264
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).

thf(f9778,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_264 ),
    inference(avatar_component_clause,[],[f9777]) ).

thf(f9793,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_251 ),
    inference(constrained_superposition,[],[f179,f9358]) ).

thf(f9887,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_251 ),
    inference(forward_subsumption_resolution,[],[f9793,f30]) ).

thf(f9898,plain,
    ( $false
    | ~ spl0_251 ),
    inference(forward_subsumption_resolution,[],[f9887,f29]) ).

thf(f9899,plain,
    ~ spl0_251,
    inference(avatar_contradiction_clause,[],[f9898]) ).

thf(f9932,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_227 ),
    inference(constrained_superposition,[],[f54,f8878]) ).

thf(f10016,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_227 ),
    inference(forward_subsumption_resolution,[],[f9932,f29]) ).

thf(f10021,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f217]) ).

thf(f10041,plain,
    ( $false
    | ~ spl0_227 ),
    inference(forward_subsumption_resolution,[],[f10016,f30]) ).

thf(f10042,plain,
    ~ spl0_227,
    inference(avatar_contradiction_clause,[],[f10041]) ).

thf(f10049,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( $true
          = ( r @ X0 @ ( s @ z ) ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_15 ),
    inference(constrained_superposition,[],[f721,f10021]) ).

thf(f10064,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( $true
          = ( r @ X0 @ ( s @ z ) ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( ( s @ z )
          = X0 )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f10049]) ).

thf(f10096,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_262 ),
    inference(constrained_superposition,[],[f865,f9765]) ).

thf(f10176,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_262 ),
    inference(forward_subsumption_resolution,[],[f10096,f30]) ).

thf(f10189,plain,
    ( $false
    | ~ spl0_262 ),
    inference(forward_subsumption_resolution,[],[f10176,f29]) ).

thf(f10190,plain,
    ~ spl0_262,
    inference(avatar_contradiction_clause,[],[f10189]) ).

thf(f10199,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_44
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f1281,f6568]) ).

thf(f10206,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f41,f6568]) ).

thf(f10219,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f10206]) ).

thf(f10224,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_44
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f10199]) ).

thf(f10236,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_44
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f10224,f55]) ).

thf(f10237,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_44
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f10224,f35]) ).

thf(f10239,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_44
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f10236]) ).

thf(f10240,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_44
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f10237]) ).

thf(f10242,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_44
    | ~ spl0_178 ),
    inference(forward_subsumption_resolution,[],[f10239,f28]) ).

thf(f10243,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_44
    | spl0_78
    | ~ spl0_178 ),
    inference(forward_subsumption_resolution,[],[f10240,f6060]) ).

thf(f10245,plain,
    ( spl0_252
    | ~ spl0_44
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f10242,f6567,f1280,f9617]) ).

thf(f10246,plain,
    ( spl0_252
    | ~ spl0_44
    | spl0_78
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f10243,f6567,f2055,f1280,f9617]) ).

thf(f10247,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_106
    | ~ spl0_252 ),
    inference(constrained_superposition,[],[f2970,f9618]) ).

thf(f10251,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_106
    | ~ spl0_252 ),
    inference(trivial_inequality_removal,[],[f10247]) ).

thf(f10255,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_106
    | ~ spl0_252 ),
    inference(forward_subsumption_resolution,[],[f10251,f28]) ).

thf(f10258,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_55
    | ~ spl0_106
    | ~ spl0_252 ),
    inference(forward_subsumption_resolution,[],[f10255,f6050]) ).

thf(f10260,plain,
    ( spl0_137
    | spl0_55
    | ~ spl0_106
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f10258,f9617,f2969,f1354,f4230]) ).

thf(f10262,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_98
    | ~ spl0_237 ),
    inference(constrained_superposition,[],[f2543,f9110]) ).

thf(f10268,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_98
    | ~ spl0_237 ),
    inference(trivial_inequality_removal,[],[f10262]) ).

thf(f10272,plain,
    ( $false
    | ~ spl0_98
    | ~ spl0_187
    | ~ spl0_237 ),
    inference(forward_subsumption_resolution,[],[f10268,f6738]) ).

thf(f10273,plain,
    ( ~ spl0_98
    | ~ spl0_187
    | ~ spl0_237 ),
    inference(avatar_contradiction_clause,[],[f10272]) ).

thf(f10298,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_64
    | ~ spl0_178 ),
    inference(forward_subsumption_resolution,[],[f10219,f8673]) ).

thf(f10300,plain,
    ( spl0_219
    | ~ spl0_218
    | ~ spl0_4
    | ~ spl0_64
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f10298,f6567,f1987,f87,f8679,f8682]) ).

thf(f10348,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_73
    | ~ spl0_246 ),
    inference(constrained_superposition,[],[f2029,f9191]) ).

thf(f10356,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_73
    | ~ spl0_246 ),
    inference(trivial_inequality_removal,[],[f10348]) ).

thf(f10375,definition,
    ( spl0_271
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).

thf(f10376,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_271 ),
    inference(avatar_component_clause,[],[f10375]) ).

thf(f10479,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_263 ),
    inference(constrained_superposition,[],[f865,f9768]) ).

thf(f10546,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_263 ),
    inference(forward_subsumption_resolution,[],[f10479,f29]) ).

thf(f10568,plain,
    ( $false
    | ~ spl0_263 ),
    inference(forward_subsumption_resolution,[],[f10546,f30]) ).

thf(f10569,plain,
    ~ spl0_263,
    inference(avatar_contradiction_clause,[],[f10568]) ).

thf(f10581,definition,
    ( spl0_275
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).

thf(f10582,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_275 ),
    inference(avatar_component_clause,[],[f10581]) ).

thf(f10597,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_181
    | ~ spl0_219 ),
    inference(constrained_superposition,[],[f8683,f6578]) ).

thf(f10600,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_10
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f129,f6578]) ).

thf(f10616,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_10
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f10600]) ).

thf(f10622,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_181
    | ~ spl0_219 ),
    inference(trivial_inequality_removal,[],[f10597]) ).

thf(f10632,plain,
    ( ~ spl0_218
    | ~ spl0_144
    | spl0_137
    | ~ spl0_10
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f10616,f6577,f128,f4230,f4264,f8679]) ).

thf(f10634,plain,
    ( ~ spl0_144
    | ~ spl0_181
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f10622,f8682,f6577,f4264]) ).

thf(f10640,definition,
    ( spl0_277
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).

thf(f10641,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_277 ),
    inference(avatar_component_clause,[],[f10640]) ).

thf(f10649,definition,
    ( spl0_278
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).

thf(f10650,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_278 ),
    inference(avatar_component_clause,[],[f10649]) ).

thf(f10661,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_147 ),
    inference(constrained_superposition,[],[f4280,f865]) ).

thf(f10664,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_147 ),
    inference(constrained_superposition,[],[f4280,f53]) ).

thf(f10673,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_147 ),
    inference(trivial_inequality_removal,[],[f10661]) ).

thf(f10674,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_147 ),
    inference(trivial_inequality_removal,[],[f10664]) ).

thf(f10677,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_89
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f10673,f2290]) ).

thf(f10678,plain,
    ( spl0_237
    | ~ spl0_89
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f10677,f4279,f2289,f9109]) ).

thf(f10679,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_73
    | ~ spl0_237 ),
    inference(constrained_superposition,[],[f2029,f9110]) ).

thf(f10688,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_73
    | ~ spl0_237 ),
    inference(trivial_inequality_removal,[],[f10679]) ).

thf(f10690,plain,
    ( $false
    | ~ spl0_73
    | ~ spl0_224
    | ~ spl0_237 ),
    inference(forward_subsumption_resolution,[],[f10688,f8827]) ).

thf(f10691,plain,
    ( ~ spl0_73
    | ~ spl0_224
    | ~ spl0_237 ),
    inference(avatar_contradiction_clause,[],[f10690]) ).

thf(f10692,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_15
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f10674,f10021]) ).

thf(f10693,plain,
    ( spl0_224
    | ~ spl0_15
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f10692,f4279,f217,f8826]) ).

thf(f10704,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_277 ),
    inference(constrained_superposition,[],[f485,f10641]) ).

thf(f10709,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_277 ),
    inference(trivial_inequality_removal,[],[f10704]) ).

thf(f10711,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_70
    | ~ spl0_277 ),
    inference(forward_subsumption_resolution,[],[f10709,f2014]) ).

thf(f10713,plain,
    ( spl0_259
    | ~ spl0_35
    | ~ spl0_70
    | ~ spl0_277 ),
    inference(avatar_split_clause,[],[f10711,f10640,f2013,f484,f9737]) ).

thf(f10714,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_179
    | ~ spl0_234 ),
    inference(constrained_superposition,[],[f8976,f6571]) ).

thf(f10718,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_179
    | ~ spl0_234 ),
    inference(trivial_inequality_removal,[],[f10714]) ).

thf(f10722,plain,
    ( $false
    | ~ spl0_64
    | ~ spl0_179
    | ~ spl0_234 ),
    inference(forward_subsumption_resolution,[],[f10718,f1988]) ).

thf(f10723,plain,
    ( ~ spl0_64
    | ~ spl0_179
    | ~ spl0_234 ),
    inference(avatar_contradiction_clause,[],[f10722]) ).

thf(f10726,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_240 ),
    inference(constrained_superposition,[],[f9120,f178]) ).

thf(f10730,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_240 ),
    inference(constrained_superposition,[],[f9120,f33]) ).

thf(f10733,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_240 ),
    inference(trivial_inequality_removal,[],[f10726]) ).

thf(f10738,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_240 ),
    inference(trivial_inequality_removal,[],[f10730]) ).

thf(f10741,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_143
    | ~ spl0_240 ),
    inference(forward_subsumption_resolution,[],[f10733,f9751]) ).

thf(f10742,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | spl0_226
    | ~ spl0_240 ),
    inference(forward_subsumption_resolution,[],[f10738,f9330]) ).

thf(f10743,plain,
    ( ~ spl0_30
    | spl0_143
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f10741,f9119,f4261,f348]) ).

thf(f10744,plain,
    ( ~ spl0_1
    | spl0_226
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f10742,f9119,f8874,f70]) ).

thf(f10754,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_7
    | ~ spl0_172 ),
    inference(constrained_superposition,[],[f119,f6137]) ).

thf(f10773,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_7
    | ~ spl0_172 ),
    inference(trivial_inequality_removal,[],[f10754]) ).

thf(f10792,definition,
    ( spl0_283
  <=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).

thf(f10793,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_283 ),
    inference(avatar_component_clause,[],[f10792]) ).

thf(f10796,definition,
    ( spl0_284
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).

thf(f10797,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_284 ),
    inference(avatar_component_clause,[],[f10796]) ).

thf(f10806,definition,
    ( spl0_287
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).

thf(f10807,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_287 ),
    inference(avatar_component_clause,[],[f10806]) ).

thf(f10809,plain,
    ( ~ spl0_140
    | ~ spl0_139
    | spl0_284
    | ~ spl0_7
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f10773,f6136,f118,f10796,f4237,f4240]) ).

thf(f10815,definition,
    ( spl0_288
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).

thf(f10816,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_288 ),
    inference(avatar_component_clause,[],[f10815]) ).

thf(f10818,definition,
    ( spl0_289
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).

thf(f10819,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_289 ),
    inference(avatar_component_clause,[],[f10818]) ).

thf(f10822,definition,
    ( spl0_290
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).

thf(f10823,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | spl0_290 ),
    inference(avatar_component_clause,[],[f10822]) ).

thf(f10825,definition,
    ( spl0_291
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).

thf(f10826,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_291 ),
    inference(avatar_component_clause,[],[f10825]) ).

thf(f10833,definition,
    ( spl0_293
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).

thf(f10834,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_293 ),
    inference(avatar_component_clause,[],[f10833]) ).

thf(f10836,definition,
    ( spl0_294
  <=> ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).

thf(f10837,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
    | spl0_294 ),
    inference(avatar_component_clause,[],[f10836]) ).

thf(f10840,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_139 ),
    inference(constrained_superposition,[],[f4238,f34]) ).

thf(f10843,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_139 ),
    inference(trivial_inequality_removal,[],[f10840]) ).

thf(f10845,plain,
    ( spl0_277
    | spl0_139 ),
    inference(avatar_split_clause,[],[f10843,f4237,f10640]) ).

thf(f10892,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_283 ),
    inference(constrained_superposition,[],[f10793,f34]) ).

thf(f10895,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_283 ),
    inference(trivial_inequality_removal,[],[f10892]) ).

thf(f10897,plain,
    ( spl0_287
    | spl0_283 ),
    inference(avatar_split_clause,[],[f10895,f10792,f10806]) ).

thf(f10907,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_290 ),
    inference(constrained_superposition,[],[f10823,f33]) ).

thf(f10909,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_290 ),
    inference(trivial_inequality_removal,[],[f10907]) ).

thf(f10916,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | spl0_290 ),
    inference(constrained_superposition,[],[f25,f10909]) ).

thf(f10917,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ z )
         != $true ) )
    | spl0_290 ),
    inference(trivial_inequality_removal,[],[f10916]) ).

thf(f10918,plain,
    ( spl0_275
    | spl0_255
    | spl0_290 ),
    inference(avatar_split_clause,[],[f10917,f10822,f9695,f10581]) ).

thf(f10926,definition,
    ( spl0_297
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).

thf(f10927,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_297 ),
    inference(avatar_component_clause,[],[f10926]) ).

thf(f10929,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | spl0_294 ),
    inference(constrained_superposition,[],[f10837,f53]) ).

thf(f10933,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_294 ),
    inference(trivial_inequality_removal,[],[f10929]) ).

thf(f10936,definition,
    ( spl0_298
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).

thf(f10937,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_298 ),
    inference(avatar_component_clause,[],[f10936]) ).

thf(f10939,plain,
    ( spl0_298
    | spl0_294 ),
    inference(avatar_split_clause,[],[f10933,f10836,f10936]) ).

thf(f10990,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_289 ),
    inference(constrained_superposition,[],[f10819,f27]) ).

thf(f10992,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_289 ),
    inference(trivial_inequality_removal,[],[f10990]) ).

thf(f11004,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_258 ),
    inference(avatar_component_clause,[],[f9734]) ).

thf(f11007,plain,
    ( spl0_258
    | spl0_262
    | spl0_289 ),
    inference(avatar_split_clause,[],[f10992,f10818,f9764,f9734]) ).

thf(f11008,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_25
    | ~ spl0_258 ),
    inference(constrained_superposition,[],[f265,f11004]) ).

thf(f11011,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_258 ),
    inference(trivial_inequality_removal,[],[f11008]) ).

thf(f11014,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_258
    | spl0_290 ),
    inference(forward_subsumption_resolution,[],[f11011,f10909]) ).

thf(f11015,plain,
    ( ~ spl0_25
    | ~ spl0_258
    | spl0_290 ),
    inference(avatar_contradiction_clause,[],[f11014]) ).

thf(f11017,definition,
    ( spl0_301
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).

thf(f11018,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f11017]) ).

thf(f11043,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_174 ),
    inference(constrained_superposition,[],[f209,f6144]) ).

thf(f11045,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_174 ),
    inference(constrained_superposition,[],[f66,f6144]) ).

thf(f11048,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true != $true ) )
    | ~ spl0_174 ),
    inference(constrained_superposition,[],[f41,f6144]) ).

thf(f11049,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
    | ~ spl0_7
    | ~ spl0_174 ),
    inference(constrained_superposition,[],[f119,f6144]) ).

thf(f11051,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_174 ),
    inference(constrained_superposition,[],[f51,f6144]) ).

thf(f11059,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_174 ),
    inference(trivial_inequality_removal,[],[f11043]) ).

thf(f11062,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_174 ),
    inference(trivial_inequality_removal,[],[f11045]) ).

thf(f11066,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_174 ),
    inference(trivial_inequality_removal,[],[f11051]) ).

thf(f11072,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_174 ),
    inference(trivial_inequality_removal,[],[f11048]) ).

thf(f11073,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
    | ~ spl0_7
    | ~ spl0_174 ),
    inference(trivial_inequality_removal,[],[f11049]) ).

thf(f11080,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_254 ),
    inference(avatar_component_clause,[],[f9688]) ).

thf(f11085,plain,
    ( spl0_298
    | spl0_249
    | ~ spl0_140
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f11062,f6143,f4240,f9252,f10936]) ).

thf(f11088,definition,
    ( spl0_304
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).

thf(f11089,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_304 ),
    inference(avatar_component_clause,[],[f11088]) ).

thf(f11091,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_174
    | spl0_187 ),
    inference(forward_subsumption_resolution,[],[f11066,f9355]) ).

thf(f11093,definition,
    ( spl0_305
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).

thf(f11094,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_305 ),
    inference(avatar_component_clause,[],[f11093]) ).

thf(f11096,plain,
    ( spl0_254
    | ~ spl0_218
    | spl0_219
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f11072,f6143,f8682,f8679,f9688]) ).

thf(f11097,plain,
    ( ~ spl0_294
    | spl0_137
    | ~ spl0_283
    | ~ spl0_7
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f11073,f6143,f118,f10792,f4230,f10836]) ).

thf(f11099,plain,
    ( ~ spl0_283
    | ~ spl0_290
    | spl0_277
    | ~ spl0_174
    | spl0_187 ),
    inference(avatar_split_clause,[],[f11091,f6737,f6143,f10640,f10822,f10792]) ).

thf(f11100,plain,
    ( spl0_258
    | spl0_147
    | ~ spl0_192
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f11059,f6143,f7205,f4279,f9734]) ).

thf(f11117,plain,
    ( $false
    | ~ spl0_254
    | ~ spl0_255 ),
    inference(forward_subsumption_resolution,[],[f11080,f9696]) ).

thf(f11118,plain,
    ( ~ spl0_254
    | ~ spl0_255 ),
    inference(avatar_contradiction_clause,[],[f11117]) ).

thf(f11119,plain,
    ( $false
    | ~ spl0_173
    | ~ spl0_255 ),
    inference(forward_subsumption_resolution,[],[f6141,f9696]) ).

thf(f11120,plain,
    ( ~ spl0_173
    | ~ spl0_255 ),
    inference(avatar_contradiction_clause,[],[f11119]) ).

thf(f11130,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_261 ),
    inference(constrained_superposition,[],[f66,f9748]) ).

thf(f11145,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_261 ),
    inference(trivial_inequality_removal,[],[f11130]) ).

thf(f11157,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | spl0_28
    | ~ spl0_261 ),
    inference(forward_subsumption_resolution,[],[f11145,f2052]) ).

thf(f11159,plain,
    ( spl0_293
    | ~ spl0_294
    | spl0_28
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f11157,f9747,f300,f10836,f10833]) ).

thf(f11161,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_249 ),
    inference(constrained_superposition,[],[f9253,f178]) ).

thf(f11165,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_249 ),
    inference(constrained_superposition,[],[f9253,f33]) ).

thf(f11170,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_249 ),
    inference(trivial_inequality_removal,[],[f11161]) ).

thf(f11173,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_249 ),
    inference(trivial_inequality_removal,[],[f11165]) ).

thf(f11176,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_141
    | ~ spl0_249 ),
    inference(forward_subsumption_resolution,[],[f11170,f9728]) ).

thf(f11177,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | spl0_187
    | ~ spl0_249 ),
    inference(forward_subsumption_resolution,[],[f11173,f9355]) ).

thf(f11178,plain,
    ( ~ spl0_30
    | spl0_141
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f11176,f9252,f4243,f348]) ).

thf(f11179,plain,
    ( ~ spl0_1
    | spl0_187
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f11177,f9252,f6737,f70]) ).

thf(f11201,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_145 ),
    inference(constrained_superposition,[],[f4270,f865]) ).

thf(f11204,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_145 ),
    inference(constrained_superposition,[],[f4270,f53]) ).

thf(f11210,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_145 ),
    inference(trivial_inequality_removal,[],[f11201]) ).

thf(f11211,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_145 ),
    inference(trivial_inequality_removal,[],[f11204]) ).

thf(f11217,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_15
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f11211,f10021]) ).

thf(f11218,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_73
    | ~ spl0_145
    | ~ spl0_246 ),
    inference(forward_subsumption_resolution,[],[f11217,f10356]) ).

thf(f11219,plain,
    ( ~ spl0_15
    | ~ spl0_73
    | ~ spl0_145
    | ~ spl0_246 ),
    inference(avatar_contradiction_clause,[],[f11218]) ).

thf(f11220,plain,
    ( spl0_235
    | ~ spl0_15
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f11217,f4269,f217,f9054]) ).

thf(f11221,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_89
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f11210,f2290]) ).

thf(f11222,plain,
    ( spl0_246
    | ~ spl0_89
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f11221,f4269,f2289,f9190]) ).

thf(f11225,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_173
    | ~ spl0_186 ),
    inference(constrained_superposition,[],[f6691,f6141]) ).

thf(f11227,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_128
    | ~ spl0_186 ),
    inference(constrained_superposition,[],[f6691,f3957]) ).

thf(f11232,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_128
    | ~ spl0_186 ),
    inference(trivial_inequality_removal,[],[f11227]) ).

thf(f11236,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_173
    | ~ spl0_186 ),
    inference(trivial_inequality_removal,[],[f11225]) ).

thf(f11237,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_128
    | ~ spl0_186
    | spl0_187 ),
    inference(forward_subsumption_resolution,[],[f11232,f9355]) ).

thf(f11244,plain,
    ( spl0_277
    | ~ spl0_46
    | ~ spl0_128
    | ~ spl0_186
    | spl0_187 ),
    inference(avatar_split_clause,[],[f11237,f6737,f6690,f3956,f1287,f10640]) ).

thf(f11396,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_215 ),
    inference(constrained_superposition,[],[f8124,f178]) ).

thf(f11400,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_215 ),
    inference(constrained_superposition,[],[f8124,f33]) ).

thf(f11405,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_215 ),
    inference(trivial_inequality_removal,[],[f11396]) ).

thf(f11407,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_215 ),
    inference(trivial_inequality_removal,[],[f11400]) ).

thf(f11411,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_141
    | ~ spl0_215 ),
    inference(forward_subsumption_resolution,[],[f11405,f9728]) ).

thf(f11412,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_187
    | ~ spl0_215 ),
    inference(forward_subsumption_resolution,[],[f11407,f9355]) ).

thf(f11413,plain,
    ( $false
    | ~ spl0_43
    | spl0_141
    | ~ spl0_215 ),
    inference(forward_subsumption_resolution,[],[f11411,f7719]) ).

thf(f11414,plain,
    ( ~ spl0_43
    | spl0_141
    | ~ spl0_215 ),
    inference(avatar_contradiction_clause,[],[f11413]) ).

thf(f11415,plain,
    ( ~ spl0_86
    | spl0_187
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f11412,f8123,f6737,f2236]) ).

thf(f11416,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_293 ),
    inference(constrained_superposition,[],[f10834,f865]) ).

thf(f11417,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_293 ),
    inference(constrained_superposition,[],[f10834,f178]) ).

thf(f11421,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_293 ),
    inference(constrained_superposition,[],[f10834,f33]) ).

thf(f11425,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_293 ),
    inference(trivial_inequality_removal,[],[f11417]) ).

thf(f11426,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_293 ),
    inference(trivial_inequality_removal,[],[f11421]) ).

thf(f11427,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_293 ),
    inference(trivial_inequality_removal,[],[f11416]) ).

thf(f11432,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_258
    | ~ spl0_293 ),
    inference(forward_subsumption_resolution,[],[f11425,f9735]) ).

thf(f11433,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | spl0_254
    | ~ spl0_293 ),
    inference(forward_subsumption_resolution,[],[f11426,f9689]) ).

thf(f11434,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_173
    | ~ spl0_186
    | ~ spl0_293 ),
    inference(forward_subsumption_resolution,[],[f11427,f11236]) ).

thf(f11435,plain,
    ( ~ spl0_30
    | spl0_258
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f11432,f10833,f9734,f348]) ).

thf(f11436,plain,
    ( ~ spl0_1
    | spl0_254
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f11433,f10833,f9688,f70]) ).

thf(f11437,plain,
    ( ~ spl0_56
    | ~ spl0_173
    | ~ spl0_186
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f11434,f10833,f6690,f6140,f1400]) ).

thf(f11453,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_177 ),
    inference(constrained_superposition,[],[f66,f6564]) ).

thf(f11456,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_177 ),
    inference(constrained_superposition,[],[f41,f6564]) ).

thf(f11459,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_177 ),
    inference(constrained_superposition,[],[f51,f6564]) ).

thf(f11468,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_177 ),
    inference(trivial_inequality_removal,[],[f11459]) ).

thf(f11473,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_177 ),
    inference(trivial_inequality_removal,[],[f11456]) ).

thf(f11476,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_177 ),
    inference(trivial_inequality_removal,[],[f11453]) ).

thf(f11486,definition,
    ( spl0_310
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).

thf(f11487,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_310 ),
    inference(avatar_component_clause,[],[f11486]) ).

thf(f11490,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_177
    | spl0_254 ),
    inference(forward_subsumption_resolution,[],[f11468,f9689]) ).

thf(f11494,plain,
    ( spl0_293
    | spl0_235
    | ~ spl0_294
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f11476,f6563,f10836,f9054,f10833]) ).

thf(f11508,definition,
    ( spl0_314
  <=> ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).

thf(f11509,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_314 ),
    inference(avatar_component_clause,[],[f11508]) ).

thf(f11511,definition,
    ( spl0_315
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).

thf(f11512,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_315 ),
    inference(avatar_component_clause,[],[f11511]) ).

thf(f11514,plain,
    ( ~ spl0_232
    | spl0_287
    | ~ spl0_144
    | ~ spl0_177
    | spl0_254 ),
    inference(avatar_split_clause,[],[f11490,f9688,f6563,f4264,f10806,f8936]) ).

thf(f11521,plain,
    ( spl0_291
    | ~ spl0_290
    | spl0_226
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f11473,f6563,f8874,f10822,f10825]) ).

thf(f11523,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_144 ),
    inference(constrained_superposition,[],[f4265,f34]) ).

thf(f11525,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_144 ),
    inference(trivial_inequality_removal,[],[f11523]) ).

thf(f11527,plain,
    ( spl0_310
    | spl0_144 ),
    inference(avatar_split_clause,[],[f11525,f4264,f11486]) ).

thf(f11595,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | spl0_314 ),
    inference(constrained_superposition,[],[f11509,f180]) ).

thf(f11603,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_314 ),
    inference(trivial_inequality_removal,[],[f11595]) ).

thf(f11609,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_314 ),
    inference(forward_subsumption_resolution,[],[f11603,f28]) ).

thf(f11613,plain,
    ( $false
    | ~ spl0_173
    | ~ spl0_186
    | spl0_314 ),
    inference(forward_subsumption_resolution,[],[f11609,f11236]) ).

thf(f11614,plain,
    ( ~ spl0_173
    | ~ spl0_186
    | spl0_314 ),
    inference(avatar_contradiction_clause,[],[f11613]) ).

thf(f11632,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_275 ),
    inference(constrained_superposition,[],[f10582,f179]) ).

thf(f11639,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_275 ),
    inference(trivial_inequality_removal,[],[f11632]) ).

thf(f11647,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_185 ),
    inference(constrained_superposition,[],[f209,f6592]) ).

thf(f11652,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_185 ),
    inference(constrained_superposition,[],[f41,f6592]) ).

thf(f11662,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_185 ),
    inference(trivial_inequality_removal,[],[f11652]) ).

thf(f11678,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_185 ),
    inference(trivial_inequality_removal,[],[f11647]) ).

thf(f11679,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_185
    | spl0_254 ),
    inference(forward_subsumption_resolution,[],[f11662,f9689]) ).

thf(f11681,definition,
    ( spl0_317
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).

thf(f11682,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_317 ),
    inference(avatar_component_clause,[],[f11681]) ).

thf(f11688,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_185
    | spl0_258 ),
    inference(forward_subsumption_resolution,[],[f11678,f9735]) ).

thf(f11689,plain,
    ( ~ spl0_232
    | spl0_231
    | ~ spl0_185
    | spl0_254 ),
    inference(avatar_split_clause,[],[f11679,f9688,f6591,f8933,f8936]) ).

thf(f11695,plain,
    ( spl0_145
    | ~ spl0_278
    | ~ spl0_185
    | spl0_258 ),
    inference(avatar_split_clause,[],[f11688,f9734,f6591,f10649,f4269]) ).

thf(f11701,definition,
    ( spl0_319
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).

thf(f11702,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_319 ),
    inference(avatar_component_clause,[],[f11701]) ).

thf(f11706,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_180
    | ~ spl0_225 ),
    inference(constrained_superposition,[],[f8865,f6575]) ).

thf(f11713,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_180
    | ~ spl0_225 ),
    inference(trivial_inequality_removal,[],[f11706]) ).

thf(f11718,plain,
    ( $false
    | ~ spl0_180
    | ~ spl0_225
    | ~ spl0_237 ),
    inference(forward_subsumption_resolution,[],[f11713,f9110]) ).

thf(f11719,plain,
    ( ~ spl0_180
    | ~ spl0_225
    | ~ spl0_237 ),
    inference(avatar_contradiction_clause,[],[f11718]) ).

thf(f11727,plain,
    ( ( $true != $true )
    | ~ spl0_226
    | ~ spl0_228 ),
    inference(constrained_superposition,[],[f8881,f8875]) ).

thf(f11728,plain,
    ( ( $true != $true )
    | ~ spl0_183
    | ~ spl0_228 ),
    inference(constrained_superposition,[],[f8881,f6585]) ).

thf(f11729,plain,
    ( $false
    | ~ spl0_226
    | ~ spl0_228 ),
    inference(trivial_inequality_removal,[],[f11727]) ).

thf(f11730,plain,
    ( ~ spl0_226
    | ~ spl0_228 ),
    inference(avatar_contradiction_clause,[],[f11729]) ).

thf(f11731,plain,
    ( $false
    | ~ spl0_183
    | ~ spl0_228 ),
    inference(trivial_inequality_removal,[],[f11728]) ).

thf(f11732,plain,
    ( ~ spl0_183
    | ~ spl0_228 ),
    inference(avatar_contradiction_clause,[],[f11731]) ).

thf(f11765,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_247 ),
    inference(constrained_superposition,[],[f865,f9194]) ).

thf(f11859,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_247 ),
    inference(forward_subsumption_resolution,[],[f11765,f30]) ).

thf(f11872,plain,
    ( $false
    | ~ spl0_247 ),
    inference(forward_subsumption_resolution,[],[f11859,f29]) ).

thf(f11873,plain,
    ~ spl0_247,
    inference(avatar_contradiction_clause,[],[f11872]) ).

thf(f11878,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_10
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f129,f6127]) ).

thf(f11893,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_10
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f11878]) ).

thf(f11909,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_10
    | spl0_46
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[],[f11893,f3112]) ).

thf(f11915,plain,
    ( ~ spl0_86
    | ~ spl0_144
    | ~ spl0_10
    | spl0_46
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f11909,f6126,f1287,f128,f4264,f2236]) ).

thf(f11922,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f485,f11487]) ).

thf(f11925,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f11922]) ).

thf(f11927,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_70
    | ~ spl0_310 ),
    inference(forward_subsumption_resolution,[],[f11925,f2014]) ).

thf(f11928,plain,
    ( spl0_257
    | ~ spl0_35
    | ~ spl0_70
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f11927,f11486,f2013,f484,f9730]) ).

thf(f11976,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_278 ),
    inference(constrained_superposition,[],[f10650,f178]) ).

thf(f11979,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_278 ),
    inference(constrained_superposition,[],[f10650,f27]) ).

thf(f11980,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_278 ),
    inference(trivial_inequality_removal,[],[f11979]) ).

thf(f11981,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_278 ),
    inference(trivial_inequality_removal,[],[f11976]) ).

thf(f11985,plain,
    ( $false
    | spl0_143
    | spl0_278 ),
    inference(forward_subsumption_resolution,[],[f11981,f9751]) ).

thf(f11986,plain,
    ( spl0_143
    | spl0_278 ),
    inference(avatar_contradiction_clause,[],[f11985]) ).

thf(f11993,plain,
    ( spl0_143
    | spl0_278 ),
    inference(avatar_split_clause,[],[f11981,f10649,f4261]) ).

thf(f11996,plain,
    ( spl0_143
    | spl0_251
    | spl0_278 ),
    inference(avatar_split_clause,[],[f11980,f10649,f9357,f4261]) ).

thf(f11998,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_25
    | ~ spl0_143 ),
    inference(constrained_superposition,[],[f265,f4262]) ).

thf(f12001,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_143 ),
    inference(trivial_inequality_removal,[],[f11998]) ).

thf(f12005,definition,
    ( spl0_321
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).

thf(f12006,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_321 ),
    inference(avatar_component_clause,[],[f12005]) ).

thf(f12011,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_250 ),
    inference(constrained_superposition,[],[f9257,f35]) ).

thf(f12012,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_250 ),
    inference(constrained_superposition,[],[f9257,f27]) ).

thf(f12015,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_250 ),
    inference(trivial_inequality_removal,[],[f12012]) ).

thf(f12017,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_250 ),
    inference(trivial_inequality_removal,[],[f12011]) ).

thf(f12044,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ~ spl0_242
    | ~ spl0_271 ),
    inference(constrained_superposition,[],[f10376,f9128]) ).

thf(f12054,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ~ spl0_242
    | ~ spl0_271 ),
    inference(trivial_inequality_removal,[],[f12044]) ).

thf(f12063,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f66,f6578]) ).

thf(f12066,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f41,f6578]) ).

thf(f12079,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f12063]) ).

thf(f12084,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f12066]) ).

thf(f12096,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_182
    | ~ spl0_231 ),
    inference(constrained_superposition,[],[f8934,f6582]) ).

thf(f12103,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_182 ),
    inference(constrained_superposition,[],[f41,f6582]) ).

thf(f12116,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_182
    | ~ spl0_231 ),
    inference(trivial_inequality_removal,[],[f12096]) ).

thf(f12129,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_182 ),
    inference(trivial_inequality_removal,[],[f12103]) ).

thf(f12131,plain,
    ( ~ spl0_139
    | ~ spl0_182
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f12116,f8933,f6581,f4237]) ).

thf(f12134,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_182
    | spl0_226 ),
    inference(forward_subsumption_resolution,[],[f12129,f9330]) ).

thf(f12139,plain,
    ( ~ spl0_218
    | spl0_219
    | ~ spl0_182
    | spl0_226 ),
    inference(avatar_split_clause,[],[f12134,f8874,f6581,f8682,f8679]) ).

thf(f12140,plain,
    ( ~ spl0_226
    | ~ spl0_25
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f12001,f4261,f264,f8874]) ).

thf(f12143,plain,
    ( spl0_226
    | spl0_219
    | ~ spl0_218
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f12129,f6581,f8679,f8682,f8874]) ).

thf(f12146,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(constrained_superposition,[],[f265,f4244]) ).

thf(f12150,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(trivial_inequality_removal,[],[f12146]) ).

thf(f12157,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_231 ),
    inference(constrained_superposition,[],[f8934,f865]) ).

thf(f12168,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_231 ),
    inference(trivial_inequality_removal,[],[f12157]) ).

thf(f12174,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_183
    | ~ spl0_186 ),
    inference(constrained_superposition,[],[f6691,f6585]) ).

thf(f12178,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_183
    | ~ spl0_186 ),
    inference(trivial_inequality_removal,[],[f12174]) ).

thf(f12184,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_179
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f7247,f6571]) ).

thf(f12186,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_183
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f7247,f6585]) ).

thf(f12193,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_183
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f12186]) ).

thf(f12197,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_179
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f12184]) ).

thf(f12198,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_170
    | ~ spl0_236 ),
    inference(constrained_superposition,[],[f9065,f6130]) ).

thf(f12199,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_184
    | ~ spl0_236 ),
    inference(constrained_superposition,[],[f9065,f6589]) ).

thf(f12212,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_184
    | ~ spl0_236 ),
    inference(trivial_inequality_removal,[],[f12199]) ).

thf(f12213,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_170
    | ~ spl0_236 ),
    inference(trivial_inequality_removal,[],[f12198]) ).

thf(f12214,plain,
    ( $false
    | ~ spl0_184
    | ~ spl0_236
    | ~ spl0_298 ),
    inference(forward_subsumption_resolution,[],[f12212,f10937]) ).

thf(f12215,plain,
    ( ~ spl0_184
    | ~ spl0_236
    | ~ spl0_298 ),
    inference(avatar_contradiction_clause,[],[f12214]) ).

thf(f12218,plain,
    ( ~ spl0_64
    | ~ spl0_170
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f12213,f9064,f6129,f1987]) ).

thf(f12219,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_15
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f8005,f10021]) ).

thf(f12222,definition,
    ( spl0_323
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( b @ ( s @ X0 ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ X0 ) @ z )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).

thf(f12223,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( b @ ( s @ X0 ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ X0 ) @ z )
          = $true ) )
    | ~ spl0_323 ),
    inference(avatar_component_clause,[],[f12222]) ).

thf(f12224,plain,
    ( spl0_64
    | spl0_323
    | ~ spl0_1
    | spl0_78 ),
    inference(avatar_split_clause,[],[f6526,f2055,f70,f12222,f1987]) ).

thf(f12226,definition,
    ( spl0_324
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ z ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).

thf(f12227,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ z ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_324 ),
    inference(avatar_component_clause,[],[f12226]) ).

thf(f12228,plain,
    ( spl0_64
    | spl0_324
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f4461,f2289,f12226,f1987]) ).

thf(f12229,plain,
    ( spl0_13
    | spl0_64
    | ~ spl0_15
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f12219,f1277,f217,f1987,f211]) ).

thf(f12232,plain,
    ( ~ spl0_9
    | ~ spl0_242
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f12054,f10375,f9127,f125]) ).

thf(f12241,definition,
    ( spl0_326
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).

thf(f12242,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_326 ),
    inference(avatar_component_clause,[],[f12241]) ).

thf(f12243,plain,
    ( spl0_326
    | ~ spl0_1
    | ~ spl0_50
    | spl0_46
    | spl0_78 ),
    inference(avatar_split_clause,[],[f6531,f2055,f1287,f1301,f70,f12241]) ).

thf(f12244,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_183
    | ~ spl0_186
    | ~ spl0_231 ),
    inference(forward_subsumption_resolution,[],[f12168,f12178]) ).

thf(f12245,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_7
    | spl0_16
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f8014,f3915]) ).

thf(f12248,plain,
    ( ~ spl0_50
    | ~ spl0_183
    | ~ spl0_186
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f12244,f8933,f6690,f6584,f1301]) ).

thf(f12249,plain,
    ( ~ spl0_81
    | ~ spl0_50
    | ~ spl0_7
    | spl0_16
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f12245,f1277,f221,f118,f1301,f2069]) ).

thf(f12253,definition,
    ( spl0_327
  <=> ! [X0: $i] :
        ( ( $true
          = ( r @ X0 @ ( s @ z ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( s @ z )
          = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).

thf(f12254,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( s @ z )
          = X0 )
        | ( $true
          = ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_327 ),
    inference(avatar_component_clause,[],[f12253]) ).

thf(f12255,plain,
    ( spl0_327
    | spl0_37
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f10064,f217,f70,f493,f12253]) ).

thf(f12271,plain,
    ( ~ spl0_37
    | spl0_261
    | ~ spl0_275 ),
    inference(avatar_split_clause,[],[f11639,f10581,f9747,f493]) ).

thf(f12273,plain,
    ( ~ spl0_187
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f12150,f4243,f264,f6737]) ).

thf(f12274,plain,
    ( ~ spl0_232
    | spl0_231
    | spl0_187
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f12084,f6577,f6737,f8933,f8936]) ).

thf(f12275,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ z ) )
    | ( $true != $true )
    | spl0_1 ),
    inference(constrained_superposition,[],[f71,f33]) ).

thf(f12278,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ z ) )
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f12275]) ).

thf(f12280,plain,
    ( spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f12278,f70,f125]) ).

thf(f12341,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_235 ),
    inference(constrained_superposition,[],[f88,f9055]) ).

thf(f12345,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_235 ),
    inference(trivial_inequality_removal,[],[f12341]) ).

thf(f12347,plain,
    ( ~ spl0_226
    | ~ spl0_4
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f12345,f9054,f87,f8874]) ).

thf(f12348,plain,
    ( ~ spl0_54
    | ~ spl0_179
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f12197,f7246,f6570,f1315]) ).

thf(f12351,plain,
    ( ~ spl0_143
    | ~ spl0_183
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f12193,f7246,f6584,f4261]) ).

thf(f12352,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_73
    | ~ spl0_181
    | ~ spl0_237 ),
    inference(forward_subsumption_resolution,[],[f12079,f10688]) ).

thf(f12353,plain,
    ( spl0_64
    | spl0_210
    | ~ spl0_86
    | ~ spl0_6
    | spl0_78 ),
    inference(avatar_split_clause,[],[f6530,f2055,f103,f2236,f7926,f1987]) ).

thf(f12356,plain,
    ( spl0_240
    | ~ spl0_142
    | ~ spl0_73
    | ~ spl0_181
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f12352,f9109,f6577,f2028,f4258,f9119]) ).

thf(f12358,plain,
    ( ( $true != $true )
    | ~ spl0_26
    | ~ spl0_70 ),
    inference(constrained_superposition,[],[f273,f2014]) ).

thf(f12360,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_70 ),
    inference(trivial_inequality_removal,[],[f12358]) ).

thf(f12361,plain,
    ( ~ spl0_26
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f12360]) ).

thf(f12364,plain,
    ( ~ spl0_20
    | spl0_100
    | ~ spl0_22
    | spl0_51
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f4087,f2289,f1305,f242,f2550,f234]) ).

thf(f12366,plain,
    ( spl0_70
    | spl0_85
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f4089,f2289,f2231,f2013]) ).

thf(f12367,plain,
    ( spl0_54
    | ~ spl0_86
    | spl0_211
    | ~ spl0_22
    | spl0_55 ),
    inference(avatar_split_clause,[],[f6548,f1354,f242,f7946,f2236,f1315]) ).

thf(f12370,definition,
    ( spl0_330
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ z ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ z @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).

thf(f12371,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_330 ),
    inference(avatar_component_clause,[],[f12370]) ).

thf(f12379,definition,
    ( spl0_331
  <=> ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).

thf(f12380,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_331 ),
    inference(avatar_component_clause,[],[f12379]) ).

thf(f12381,plain,
    ( spl0_331
    | spl0_237
    | spl0_250 ),
    inference(avatar_split_clause,[],[f12015,f9256,f9109,f12379]) ).

thf(f12382,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_55
    | spl0_250 ),
    inference(forward_subsumption_resolution,[],[f12017,f6050]) ).

thf(f12384,plain,
    ( spl0_237
    | spl0_55
    | spl0_250 ),
    inference(avatar_split_clause,[],[f12382,f9256,f1354,f9109]) ).

thf(f12431,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_186
    | ~ spl0_277 ),
    inference(constrained_superposition,[],[f6691,f10641]) ).

thf(f12437,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_186
    | ~ spl0_277 ),
    inference(trivial_inequality_removal,[],[f12431]) ).

thf(f12439,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_186
    | ~ spl0_277 ),
    inference(forward_subsumption_resolution,[],[f12437,f1306]) ).

thf(f12440,plain,
    ( ~ spl0_51
    | ~ spl0_186
    | ~ spl0_277 ),
    inference(avatar_contradiction_clause,[],[f12439]) ).

thf(f12464,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_137
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f7247,f4231]) ).

thf(f12469,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_137
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f12464]) ).

thf(f12479,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_259 ),
    inference(constrained_superposition,[],[f66,f9738]) ).

thf(f12494,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_259 ),
    inference(trivial_inequality_removal,[],[f12479]) ).

thf(f12503,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | spl0_28
    | ~ spl0_259 ),
    inference(forward_subsumption_resolution,[],[f12494,f2052]) ).

thf(f12506,plain,
    ( ~ spl0_140
    | spl0_249
    | spl0_28
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f12503,f9737,f300,f9252,f4240]) ).

thf(f12521,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ( $true != $true )
    | ~ spl0_46
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f2543,f1288]) ).

thf(f12524,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ~ spl0_46
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f12521]) ).

thf(f12530,plain,
    ( ~ spl0_16
    | ~ spl0_137
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f12469,f7246,f4230,f221]) ).

thf(f12532,plain,
    ( ~ spl0_9
    | ~ spl0_46
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f12524,f2542,f1287,f125]) ).

thf(f12538,plain,
    ( ( $true != $true )
    | ~ spl0_5
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f91,f1288]) ).

thf(f12540,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f12538]) ).

thf(f12541,plain,
    ( ~ spl0_5
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f12540]) ).

thf(f12556,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_37 ),
    inference(constrained_superposition,[],[f25,f2058]) ).

thf(f12557,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_37 ),
    inference(trivial_inequality_removal,[],[f12556]) ).

thf(f12558,plain,
    ( spl0_25
    | spl0_24
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f12557,f493,f261,f264]) ).

thf(f12560,plain,
    ( ( $true != $true )
    | ~ spl0_54
    | ~ spl0_58 ),
    inference(constrained_superposition,[],[f1467,f1316]) ).

thf(f12561,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_58 ),
    inference(trivial_inequality_removal,[],[f12560]) ).

thf(f12562,plain,
    ( ~ spl0_54
    | ~ spl0_58 ),
    inference(avatar_contradiction_clause,[],[f12561]) ).

thf(f12570,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_81 ),
    inference(constrained_superposition,[],[f2070,f27]) ).

thf(f12573,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_81 ),
    inference(trivial_inequality_removal,[],[f12570]) ).

thf(f12575,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_78
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f12573,f6060]) ).

thf(f12576,plain,
    ( spl0_64
    | spl0_78
    | spl0_81 ),
    inference(avatar_split_clause,[],[f12575,f2069,f2055,f1987]) ).

thf(f12633,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_224 ),
    inference(constrained_superposition,[],[f88,f8827]) ).

thf(f12637,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_224 ),
    inference(trivial_inequality_removal,[],[f12633]) ).

thf(f12640,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_187
    | ~ spl0_224 ),
    inference(forward_subsumption_resolution,[],[f12637,f6738]) ).

thf(f12641,plain,
    ( ~ spl0_4
    | ~ spl0_187
    | ~ spl0_224 ),
    inference(avatar_contradiction_clause,[],[f12640]) ).

thf(f12644,plain,
    ( ( $true != $true )
    | ~ spl0_187
    | ~ spl0_188 ),
    inference(constrained_superposition,[],[f6743,f6738]) ).

thf(f12645,plain,
    ( $false
    | ~ spl0_187
    | ~ spl0_188 ),
    inference(trivial_inequality_removal,[],[f12644]) ).

thf(f12646,plain,
    ( ~ spl0_187
    | ~ spl0_188 ),
    inference(avatar_contradiction_clause,[],[f12645]) ).

thf(f12649,plain,
    ( $false
    | ~ spl0_171
    | ~ spl0_188 ),
    inference(forward_subsumption_resolution,[],[f6134,f6743]) ).

thf(f12650,plain,
    ( ~ spl0_171
    | ~ spl0_188 ),
    inference(avatar_contradiction_clause,[],[f12649]) ).

thf(f12656,plain,
    ( ( $true != $true )
    | ~ spl0_58
    | ~ spl0_64 ),
    inference(constrained_superposition,[],[f1467,f1988]) ).

thf(f12657,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_64 ),
    inference(trivial_inequality_removal,[],[f12656]) ).

thf(f12658,plain,
    ( ~ spl0_58
    | ~ spl0_64 ),
    inference(avatar_contradiction_clause,[],[f12657]) ).

thf(f12703,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_19
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f232,f2290]) ).

thf(f12715,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_19
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f12703]) ).

thf(f12717,plain,
    ( ~ spl0_50
    | ~ spl0_19
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f12715,f2289,f231,f1301]) ).

thf(f12799,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_304 ),
    inference(constrained_superposition,[],[f11089,f27]) ).

thf(f12801,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_304 ),
    inference(trivial_inequality_removal,[],[f12799]) ).

thf(f12804,plain,
    ( spl0_263
    | spl0_284
    | spl0_304 ),
    inference(avatar_split_clause,[],[f12801,f11088,f10796,f9767]) ).

thf(f12806,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_298 ),
    inference(constrained_superposition,[],[f88,f10937]) ).

thf(f12810,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_298 ),
    inference(trivial_inequality_removal,[],[f12806]) ).

thf(f12812,plain,
    ( ~ spl0_254
    | ~ spl0_4
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f12810,f10936,f87,f9688]) ).

thf(f12817,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_89
    | ~ spl0_211 ),
    inference(constrained_superposition,[],[f7947,f2290]) ).

thf(f12825,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_89
    | ~ spl0_211 ),
    inference(trivial_inequality_removal,[],[f12817]) ).

thf(f12829,plain,
    ( spl0_51
    | ~ spl0_89
    | ~ spl0_211 ),
    inference(avatar_split_clause,[],[f12825,f7946,f2289,f1305]) ).

thf(f12890,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_326 ),
    inference(constrained_superposition,[],[f12242,f53]) ).

thf(f12894,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_326 ),
    inference(trivial_inequality_removal,[],[f12890]) ).

thf(f12901,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_180 ),
    inference(constrained_superposition,[],[f485,f6575]) ).

thf(f12904,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_180 ),
    inference(trivial_inequality_removal,[],[f12901]) ).

thf(f12907,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_183 ),
    inference(constrained_superposition,[],[f485,f6585]) ).

thf(f12909,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_183 ),
    inference(trivial_inequality_removal,[],[f12907]) ).

thf(f12915,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_73
    | ~ spl0_305 ),
    inference(constrained_superposition,[],[f2029,f11094]) ).

thf(f12921,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_73
    | ~ spl0_305 ),
    inference(trivial_inequality_removal,[],[f12915]) ).

thf(f12927,plain,
    ( $false
    | ~ spl0_73
    | ~ spl0_298
    | ~ spl0_305 ),
    inference(forward_subsumption_resolution,[],[f12921,f10937]) ).

thf(f12928,plain,
    ( ~ spl0_73
    | ~ spl0_298
    | ~ spl0_305 ),
    inference(avatar_contradiction_clause,[],[f12927]) ).

thf(f12929,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_291 ),
    inference(constrained_superposition,[],[f10826,f865]) ).

thf(f12939,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_291 ),
    inference(trivial_inequality_removal,[],[f12929]) ).

thf(f12945,plain,
    ( ~ spl0_50
    | spl0_305
    | ~ spl0_291 ),
    inference(avatar_split_clause,[],[f12939,f10825,f11093,f1301]) ).

thf(f12950,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_43
    | ~ spl0_330 ),
    inference(constrained_superposition,[],[f12371,f7719]) ).

thf(f12959,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_43
    | ~ spl0_330 ),
    inference(trivial_inequality_removal,[],[f12950]) ).

thf(f12960,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f485,f6134]) ).

thf(f12962,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f12960]) ).

thf(f12973,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_180
    | ~ spl0_321 ),
    inference(constrained_superposition,[],[f12006,f6575]) ).

thf(f12977,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_180
    | ~ spl0_321 ),
    inference(trivial_inequality_removal,[],[f12973]) ).

thf(f12981,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_183
    | ~ spl0_186 ),
    inference(constrained_superposition,[],[f6691,f6585]) ).

thf(f12982,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_173
    | ~ spl0_186 ),
    inference(constrained_superposition,[],[f6691,f6141]) ).

thf(f12985,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_173
    | ~ spl0_186 ),
    inference(trivial_inequality_removal,[],[f12982]) ).

thf(f12989,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_183
    | ~ spl0_186 ),
    inference(trivial_inequality_removal,[],[f12981]) ).

thf(f12990,plain,
    ( $false
    | ~ spl0_183
    | ~ spl0_186
    | ~ spl0_246 ),
    inference(forward_subsumption_resolution,[],[f12989,f9191]) ).

thf(f12991,plain,
    ( ~ spl0_183
    | ~ spl0_186
    | ~ spl0_246 ),
    inference(avatar_contradiction_clause,[],[f12990]) ).

thf(f13008,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_35
    | ~ spl0_176 ),
    inference(constrained_superposition,[],[f485,f6561]) ).

thf(f13010,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_176 ),
    inference(trivial_inequality_removal,[],[f13008]) ).

thf(f13019,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
        | ( $true != $true ) )
    | ~ spl0_184 ),
    inference(constrained_superposition,[],[f25,f6589]) ).

thf(f13022,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
    | ~ spl0_184 ),
    inference(trivial_inequality_removal,[],[f13019]) ).

thf(f13023,plain,
    ( spl0_255
    | spl0_319
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f13022,f6588,f11701,f9695]) ).

thf(f13025,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_180
    | ~ spl0_225 ),
    inference(constrained_superposition,[],[f8865,f6575]) ).

thf(f13030,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_180
    | ~ spl0_225 ),
    inference(trivial_inequality_removal,[],[f13025]) ).

thf(f13041,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_238 ),
    inference(constrained_superposition,[],[f9113,f178]) ).

thf(f13045,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_238 ),
    inference(constrained_superposition,[],[f9113,f33]) ).

thf(f13050,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_238 ),
    inference(trivial_inequality_removal,[],[f13045]) ).

thf(f13055,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_238 ),
    inference(trivial_inequality_removal,[],[f13041]) ).

thf(f13056,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_226
    | ~ spl0_238 ),
    inference(forward_subsumption_resolution,[],[f13050,f9330]) ).

thf(f13057,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_43
    | ~ spl0_238 ),
    inference(forward_subsumption_resolution,[],[f13055,f7719]) ).

thf(f13058,plain,
    ( ~ spl0_86
    | spl0_226
    | ~ spl0_238 ),
    inference(avatar_split_clause,[],[f13056,f9112,f8874,f2236]) ).

thf(f13059,plain,
    ( $false
    | ~ spl0_43
    | spl0_143
    | ~ spl0_238 ),
    inference(forward_subsumption_resolution,[],[f13057,f9751]) ).

thf(f13060,plain,
    ( ~ spl0_43
    | spl0_143
    | ~ spl0_238 ),
    inference(avatar_contradiction_clause,[],[f13059]) ).

thf(f13061,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_288 ),
    inference(constrained_superposition,[],[f10816,f865]) ).

thf(f13074,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_288 ),
    inference(trivial_inequality_removal,[],[f13061]) ).

thf(f13077,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_89
    | ~ spl0_288 ),
    inference(forward_subsumption_resolution,[],[f13074,f2290]) ).

thf(f13078,plain,
    ( $false
    | ~ spl0_89
    | ~ spl0_173
    | ~ spl0_186
    | ~ spl0_288 ),
    inference(forward_subsumption_resolution,[],[f13077,f12985]) ).

thf(f13079,plain,
    ( ~ spl0_89
    | ~ spl0_173
    | ~ spl0_186
    | ~ spl0_288 ),
    inference(avatar_contradiction_clause,[],[f13078]) ).

thf(f13080,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_171
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f11018,f6134]) ).

thf(f13081,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_176
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f11018,f6561]) ).

thf(f13086,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_171
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f13080]) ).

thf(f13087,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_176
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f13081]) ).

thf(f13094,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_85 ),
    inference(constrained_superposition,[],[f2232,f54]) ).

thf(f13098,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_85 ),
    inference(trivial_inequality_removal,[],[f13094]) ).

thf(f13110,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_220 ),
    inference(constrained_superposition,[],[f8688,f54]) ).

thf(f13118,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_220 ),
    inference(trivial_inequality_removal,[],[f13110]) ).

thf(f13121,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_241 ),
    inference(constrained_superposition,[],[f9125,f178]) ).

thf(f13125,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_241 ),
    inference(constrained_superposition,[],[f9125,f33]) ).

thf(f13130,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_241 ),
    inference(trivial_inequality_removal,[],[f13125]) ).

thf(f13132,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_241 ),
    inference(trivial_inequality_removal,[],[f13121]) ).

thf(f13136,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | spl0_226
    | ~ spl0_241 ),
    inference(forward_subsumption_resolution,[],[f13130,f9330]) ).

thf(f13138,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_143
    | ~ spl0_241 ),
    inference(forward_subsumption_resolution,[],[f13132,f9751]) ).

thf(f13140,plain,
    ( ~ spl0_218
    | spl0_226
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f13136,f9124,f8874,f8679]) ).

thf(f13142,plain,
    ( ~ spl0_192
    | spl0_143
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f13138,f9124,f4261,f7205]) ).

thf(f13144,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_170
    | ~ spl0_248 ),
    inference(constrained_superposition,[],[f9215,f6130]) ).

thf(f13146,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_184
    | ~ spl0_248 ),
    inference(constrained_superposition,[],[f9215,f6589]) ).

thf(f13147,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_248 ),
    inference(constrained_superposition,[],[f9215,f179]) ).

thf(f13150,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_184
    | ~ spl0_248 ),
    inference(trivial_inequality_removal,[],[f13146]) ).

thf(f13151,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_170
    | ~ spl0_248 ),
    inference(trivial_inequality_removal,[],[f13144]) ).

thf(f13153,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_248 ),
    inference(trivial_inequality_removal,[],[f13147]) ).

thf(f13154,plain,
    ( $false
    | ~ spl0_173
    | ~ spl0_184
    | ~ spl0_248 ),
    inference(forward_subsumption_resolution,[],[f13150,f6141]) ).

thf(f13155,plain,
    ( ~ spl0_173
    | ~ spl0_184
    | ~ spl0_248 ),
    inference(avatar_contradiction_clause,[],[f13154]) ).

thf(f13156,plain,
    ( $false
    | ~ spl0_170
    | ~ spl0_179
    | ~ spl0_248 ),
    inference(forward_subsumption_resolution,[],[f13151,f6571]) ).

thf(f13157,plain,
    ( ~ spl0_170
    | ~ spl0_179
    | ~ spl0_248 ),
    inference(avatar_contradiction_clause,[],[f13156]) ).

thf(f13158,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_252 ),
    inference(avatar_component_clause,[],[f9617]) ).

thf(f13159,plain,
    ( ~ spl0_252
    | spl0_257
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f13153,f9214,f9730,f9617]) ).

thf(f13160,plain,
    ( spl0_259
    | ~ spl0_143
    | ~ spl0_35
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f12909,f6584,f484,f4261,f9737]) ).

thf(f13163,plain,
    ( ~ spl0_143
    | ~ spl0_176
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f13087,f11017,f6560,f4261]) ).

thf(f13164,plain,
    ( spl0_261
    | ~ spl0_143
    | ~ spl0_35
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f13010,f6560,f484,f4261,f9747]) ).

thf(f13165,plain,
    ( ~ spl0_81
    | ~ spl0_50
    | ~ spl0_43
    | ~ spl0_330 ),
    inference(avatar_split_clause,[],[f12959,f12370,f1277,f1301,f2069]) ).

thf(f13204,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_54 ),
    inference(constrained_superposition,[],[f265,f1316]) ).

thf(f13206,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_54 ),
    inference(trivial_inequality_removal,[],[f13204]) ).

thf(f13224,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_242
    | ~ spl0_248 ),
    inference(constrained_superposition,[],[f9215,f9128]) ).

thf(f13225,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_225
    | ~ spl0_242 ),
    inference(constrained_superposition,[],[f8865,f9128]) ).

thf(f13231,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_242
    | ~ spl0_248 ),
    inference(trivial_inequality_removal,[],[f13224]) ).

thf(f13233,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_225
    | ~ spl0_242 ),
    inference(trivial_inequality_removal,[],[f13225]) ).

thf(f13235,plain,
    ( $false
    | ~ spl0_137
    | ~ spl0_242
    | ~ spl0_248 ),
    inference(forward_subsumption_resolution,[],[f13231,f4231]) ).

thf(f13236,plain,
    ( ~ spl0_137
    | ~ spl0_242
    | ~ spl0_248 ),
    inference(avatar_contradiction_clause,[],[f13235]) ).

thf(f13237,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_225
    | ~ spl0_242 ),
    inference(forward_subsumption_resolution,[],[f13233,f1288]) ).

thf(f13238,plain,
    ( ~ spl0_46
    | ~ spl0_225
    | ~ spl0_242 ),
    inference(avatar_contradiction_clause,[],[f13237]) ).

thf(f13239,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_259 ),
    inference(constrained_superposition,[],[f66,f9738]) ).

thf(f13252,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_259 ),
    inference(trivial_inequality_removal,[],[f13239]) ).

thf(f13276,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_29
    | ~ spl0_70 ),
    inference(constrained_superposition,[],[f308,f2014]) ).

thf(f13279,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_70 ),
    inference(trivial_inequality_removal,[],[f13276]) ).

thf(f13281,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_29
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[],[f13279,f122]) ).

thf(f13282,plain,
    ( ~ spl0_8
    | ~ spl0_29
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f13281]) ).

thf(f13288,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_87
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f2240,f6568]) ).

thf(f13294,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f41,f6568]) ).

thf(f13313,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_87
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f13288]) ).

thf(f13318,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f13294]) ).

thf(f13320,definition,
    ( spl0_338
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).

thf(f13321,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_338 ),
    inference(avatar_component_clause,[],[f13320]) ).

thf(f13324,plain,
    ( ~ spl0_139
    | ~ spl0_87
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f13313,f6567,f2239,f4237]) ).

thf(f13326,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_25
    | ~ spl0_54
    | ~ spl0_178 ),
    inference(forward_subsumption_resolution,[],[f13318,f13206]) ).

thf(f13328,plain,
    ( spl0_219
    | ~ spl0_218
    | ~ spl0_25
    | ~ spl0_54
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f13326,f6567,f1315,f264,f8679,f8682]) ).

thf(f13337,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_79
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f2064,f6568]) ).

thf(f13338,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_79 ),
    inference(constrained_superposition,[],[f2064,f178]) ).

thf(f13345,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_79
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f13337]) ).

thf(f13348,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_79 ),
    inference(trivial_inequality_removal,[],[f13338]) ).

thf(f13353,plain,
    ( ~ spl0_148
    | ~ spl0_79
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f13345,f6567,f2063,f4282]) ).

thf(f13360,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_219 ),
    inference(constrained_superposition,[],[f8683,f865]) ).

thf(f13361,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_219 ),
    inference(constrained_superposition,[],[f8683,f178]) ).

thf(f13372,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_219 ),
    inference(trivial_inequality_removal,[],[f13360]) ).

thf(f13375,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_219 ),
    inference(trivial_inequality_removal,[],[f13361]) ).

thf(f13376,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_180
    | ~ spl0_219
    | ~ spl0_225 ),
    inference(forward_subsumption_resolution,[],[f13372,f13030]) ).

thf(f13377,plain,
    ( ~ spl0_50
    | ~ spl0_180
    | ~ spl0_219
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f13376,f8864,f8682,f6574,f1301]) ).

thf(f13378,plain,
    ( spl0_237
    | ~ spl0_50
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f13372,f8682,f1301,f9109]) ).

thf(f13379,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | spl0_64
    | ~ spl0_326 ),
    inference(forward_subsumption_resolution,[],[f12894,f2038]) ).

thf(f13382,plain,
    ( spl0_46
    | ~ spl0_30
    | ~ spl0_6
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f13098,f2231,f103,f348,f1287]) ).

thf(f13383,plain,
    ( ~ spl0_30
    | spl0_54
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f13348,f2063,f1315,f348]) ).

thf(f13389,plain,
    ( spl0_8
    | spl0_64
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f13379,f12241,f1987,f121]) ).

thf(f13394,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(constrained_superposition,[],[f265,f222]) ).

thf(f13395,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_16 ),
    inference(constrained_superposition,[],[f25,f222]) ).

thf(f13396,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(trivial_inequality_removal,[],[f13394]) ).

thf(f13397,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f13395]) ).

thf(f13398,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f13396,f126]) ).

thf(f13399,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f13398]) ).

thf(f13400,plain,
    ( spl0_29
    | spl0_5
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f13397,f221,f90,f307]) ).

thf(f13427,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_89 ),
    inference(constrained_superposition,[],[f2428,f35]) ).

thf(f13431,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_89 ),
    inference(trivial_inequality_removal,[],[f13427]) ).

thf(f13434,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_27
    | spl0_89 ),
    inference(forward_subsumption_resolution,[],[f13431,f7659]) ).

thf(f13436,plain,
    ( spl0_110
    | spl0_27
    | spl0_89 ),
    inference(avatar_split_clause,[],[f13434,f2289,f297,f3106]) ).

thf(f13438,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f25,f3209]) ).

thf(f13440,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f13438]) ).

thf(f13441,plain,
    ( spl0_24
    | spl0_114
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f13440,f3106,f3236,f261]) ).

thf(f13442,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_54 ),
    inference(constrained_superposition,[],[f265,f1316]) ).

thf(f13445,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_54 ),
    inference(trivial_inequality_removal,[],[f13442]) ).

thf(f13481,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_287
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f11018,f10807]) ).

thf(f13484,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_287
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f13481]) ).

thf(f13487,plain,
    ( $false
    | ~ spl0_70
    | ~ spl0_287
    | ~ spl0_301 ),
    inference(forward_subsumption_resolution,[],[f13484,f2014]) ).

thf(f13488,plain,
    ( ~ spl0_70
    | ~ spl0_287
    | ~ spl0_301 ),
    inference(avatar_contradiction_clause,[],[f13487]) ).

thf(f13515,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_237 ),
    inference(constrained_superposition,[],[f485,f9110]) ).

thf(f13517,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_35
    | ~ spl0_237 ),
    inference(trivial_inequality_removal,[],[f13515]) ).

thf(f13543,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f41,f6127]) ).

thf(f13553,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f13543]) ).

thf(f13566,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_25
    | ~ spl0_54
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[],[f13553,f13445]) ).

thf(f13577,plain,
    ( ~ spl0_232
    | spl0_231
    | ~ spl0_25
    | ~ spl0_54
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f13566,f6126,f1315,f264,f8933,f8936]) ).

thf(f13586,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_15
    | ~ spl0_220 ),
    inference(forward_subsumption_resolution,[],[f13118,f10021]) ).

thf(f13588,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_15
    | spl0_46
    | ~ spl0_220 ),
    inference(forward_subsumption_resolution,[],[f13586,f3112]) ).

thf(f13589,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | spl0_46
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f13588,f8687,f1287,f217,f70]) ).

thf(f13597,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f222,f91]) ).

thf(f13598,plain,
    ( ~ spl0_5
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f13597]) ).

thf(f13600,definition,
    ( spl0_343
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( $true
         != ( b @ z @ X0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).

thf(f13601,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_343 ),
    inference(avatar_component_clause,[],[f13600]) ).

thf(f13604,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_284 ),
    inference(forward_subsumption_resolution,[],[f10797,f91]) ).

thf(f13605,plain,
    ( ~ spl0_5
    | ~ spl0_284 ),
    inference(avatar_contradiction_clause,[],[f13604]) ).

thf(f13606,plain,
    ( ~ spl0_141
    | spl0_257
    | ~ spl0_35
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f12904,f6574,f484,f9730,f4243]) ).

thf(f13607,plain,
    ( spl0_141
    | ~ spl0_22
    | ~ spl0_219 ),
    inference(avatar_split_clause,[],[f13375,f8682,f242,f4243]) ).

thf(f13608,plain,
    ( spl0_261
    | ~ spl0_141
    | ~ spl0_35
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f12962,f6133,f484,f4243,f9747]) ).

thf(f13609,plain,
    ( ~ spl0_141
    | ~ spl0_171
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f13086,f11017,f6133,f4243]) ).

thf(f13610,plain,
    ( ~ spl0_141
    | ~ spl0_180
    | ~ spl0_321 ),
    inference(avatar_split_clause,[],[f12977,f12005,f6574,f4243]) ).

thf(f13672,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_25
    | ~ spl0_54 ),
    inference(constrained_superposition,[],[f265,f1316]) ).

thf(f13674,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_54 ),
    inference(trivial_inequality_removal,[],[f13672]) ).

thf(f13680,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_248
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f9215,f11487]) ).

thf(f13681,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_310
    | ~ spl0_321 ),
    inference(constrained_superposition,[],[f12006,f11487]) ).

thf(f13685,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_310
    | ~ spl0_321 ),
    inference(trivial_inequality_removal,[],[f13681]) ).

thf(f13686,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_248
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f13680]) ).

thf(f13689,plain,
    ( $false
    | ~ spl0_70
    | ~ spl0_310
    | ~ spl0_321 ),
    inference(forward_subsumption_resolution,[],[f13685,f2014]) ).

thf(f13690,plain,
    ( ~ spl0_70
    | ~ spl0_310
    | ~ spl0_321 ),
    inference(avatar_contradiction_clause,[],[f13689]) ).

thf(f13691,plain,
    ( $false
    | ~ spl0_248
    | ~ spl0_277
    | ~ spl0_310 ),
    inference(forward_subsumption_resolution,[],[f13686,f10641]) ).

thf(f13692,plain,
    ( ~ spl0_248
    | ~ spl0_277
    | ~ spl0_310 ),
    inference(avatar_contradiction_clause,[],[f13691]) ).

thf(f13743,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_259 ),
    inference(constrained_superposition,[],[f212,f9738]) ).

thf(f13755,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_259 ),
    inference(trivial_inequality_removal,[],[f13743]) ).

thf(f13757,plain,
    ( ~ spl0_148
    | ~ spl0_13
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f13755,f9737,f211,f4282]) ).

thf(f13781,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_257 ),
    inference(constrained_superposition,[],[f51,f9731]) ).

thf(f13794,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_257 ),
    inference(trivial_inequality_removal,[],[f13781]) ).

thf(f13820,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f41,f6127]) ).

thf(f13822,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f51,f6127]) ).

thf(f13836,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f13822]) ).

thf(f13841,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f13820]) ).

thf(f13845,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_25
    | ~ spl0_54
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[],[f13841,f13674]) ).

thf(f13847,plain,
    ( ~ spl0_232
    | spl0_231
    | ~ spl0_25
    | ~ spl0_54
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f13845,f6126,f1315,f264,f8933,f8936]) ).

thf(f13848,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_258 ),
    inference(forward_subsumption_resolution,[],[f11004,f2712]) ).

thf(f13849,plain,
    ( ~ spl0_102
    | ~ spl0_258 ),
    inference(avatar_contradiction_clause,[],[f13848]) ).

thf(f13861,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_114
    | ~ spl0_237 ),
    inference(constrained_superposition,[],[f3237,f9110]) ).

thf(f13867,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_114
    | ~ spl0_237 ),
    inference(trivial_inequality_removal,[],[f13861]) ).

thf(f13882,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_231 ),
    inference(constrained_superposition,[],[f8934,f865]) ).

thf(f13883,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_231 ),
    inference(constrained_superposition,[],[f8934,f178]) ).

thf(f13894,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_231 ),
    inference(trivial_inequality_removal,[],[f13883]) ).

thf(f13895,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_231 ),
    inference(trivial_inequality_removal,[],[f13882]) ).

thf(f13898,plain,
    ( ~ spl0_50
    | spl0_246
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f13895,f8933,f9190,f1301]) ).

thf(f13899,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_114
    | ~ spl0_246 ),
    inference(constrained_superposition,[],[f3237,f9191]) ).

thf(f13900,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_35
    | ~ spl0_246 ),
    inference(constrained_superposition,[],[f485,f9191]) ).

thf(f13903,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_114
    | ~ spl0_246 ),
    inference(trivial_inequality_removal,[],[f13899]) ).

thf(f13904,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_35
    | ~ spl0_246 ),
    inference(trivial_inequality_removal,[],[f13900]) ).

thf(f13908,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_234
    | ~ spl0_277 ),
    inference(constrained_superposition,[],[f8976,f10641]) ).

thf(f13910,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_234
    | ~ spl0_277 ),
    inference(trivial_inequality_removal,[],[f13908]) ).

thf(f13914,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_234
    | ~ spl0_277 ),
    inference(forward_subsumption_resolution,[],[f13910,f122]) ).

thf(f13915,plain,
    ( ~ spl0_8
    | ~ spl0_234
    | ~ spl0_277 ),
    inference(avatar_contradiction_clause,[],[f13914]) ).

thf(f13916,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_54
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f2551,f13674]) ).

thf(f13917,plain,
    ( ~ spl0_25
    | ~ spl0_54
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f13916]) ).

thf(f13919,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_169
    | spl0_226 ),
    inference(forward_subsumption_resolution,[],[f13836,f9330]) ).

thf(f13920,plain,
    ( ~ spl0_141
    | spl0_89
    | ~ spl0_35
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f13517,f9109,f484,f2289,f4243]) ).

thf(f13924,definition,
    ( spl0_344
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).

thf(f13925,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_344 ),
    inference(avatar_component_clause,[],[f13924]) ).

thf(f13927,plain,
    ( spl0_249
    | spl0_28
    | ~ spl0_140
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f13252,f9737,f4240,f300,f9252]) ).

thf(f13928,plain,
    ( spl0_143
    | ~ spl0_22
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f13894,f8933,f242,f4261]) ).

thf(f13929,plain,
    ( ~ spl0_143
    | ~ spl0_114
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f13903,f9190,f3236,f4261]) ).

thf(f13930,plain,
    ( ~ spl0_141
    | ~ spl0_114
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f13867,f9109,f3236,f4243]) ).

thf(f13931,plain,
    ( ~ spl0_143
    | spl0_89
    | ~ spl0_35
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f13904,f9190,f484,f2289,f4261]) ).

thf(f13932,plain,
    ( ~ spl0_86
    | spl0_310
    | ~ spl0_50
    | ~ spl0_169
    | spl0_226 ),
    inference(avatar_split_clause,[],[f13919,f8874,f6126,f1301,f11486,f2236]) ).

thf(f13947,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | spl0_15 ),
    inference(constrained_superposition,[],[f218,f27]) ).

thf(f13950,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | spl0_15 ),
    inference(trivial_inequality_removal,[],[f13947]) ).

thf(f13952,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | spl0_15
    | spl0_27 ),
    inference(forward_subsumption_resolution,[],[f13950,f7659]) ).

thf(f13953,plain,
    ( spl0_28
    | spl0_15
    | spl0_27 ),
    inference(avatar_split_clause,[],[f13952,f297,f217,f300]) ).

thf(f13954,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(constrained_superposition,[],[f88,f301]) ).

thf(f13959,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(trivial_inequality_removal,[],[f13954]) ).

thf(f13963,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_226
    | ~ spl0_257 ),
    inference(forward_subsumption_resolution,[],[f13794,f9330]) ).

thf(f13964,plain,
    ( ~ spl0_20
    | spl0_326
    | spl0_110
    | ~ spl0_50
    | spl0_55 ),
    inference(avatar_split_clause,[],[f6549,f1354,f1301,f3106,f12241,f234]) ).

thf(f13970,plain,
    ( ~ spl0_37
    | ~ spl0_4
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f13959,f300,f87,f493]) ).

thf(f13971,plain,
    ( ~ spl0_22
    | ~ spl0_20
    | spl0_310
    | spl0_226
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f13963,f9730,f8874,f11486,f234,f242]) ).

thf(f13988,plain,
    ( ( $true != $true )
    | ~ spl0_58
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f1467,f2551]) ).

thf(f13989,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f13988]) ).

thf(f13990,plain,
    ( ~ spl0_58
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f13989]) ).

thf(f14028,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_43 ),
    inference(constrained_superposition,[],[f116,f7719]) ).

thf(f14029,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_43 ),
    inference(constrained_superposition,[],[f51,f7719]) ).

thf(f14037,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f14029]) ).

thf(f14043,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f14028]) ).

thf(f14051,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | spl0_16
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f14043,f3915]) ).

thf(f14054,plain,
    ( ~ spl0_56
    | spl0_44
    | spl0_16
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f14051,f1277,f221,f1280,f1400]) ).

thf(f14102,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_290 ),
    inference(constrained_superposition,[],[f10823,f33]) ).

thf(f14104,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_290 ),
    inference(trivial_inequality_removal,[],[f14102]) ).

thf(f14106,plain,
    ( spl0_254
    | spl0_290 ),
    inference(avatar_split_clause,[],[f14104,f10822,f9688]) ).

thf(f14118,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_252 ),
    inference(constrained_superposition,[],[f13158,f179]) ).

thf(f14121,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_252 ),
    inference(trivial_inequality_removal,[],[f14118]) ).

thf(f14123,plain,
    ( spl0_259
    | spl0_252 ),
    inference(avatar_split_clause,[],[f14121,f9617,f9737]) ).

thf(f14124,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_143 ),
    inference(forward_subsumption_resolution,[],[f4262,f2712]) ).

thf(f14125,plain,
    ( ~ spl0_102
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f14124]) ).

thf(f14159,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_19
    | ~ spl0_259 ),
    inference(constrained_superposition,[],[f232,f9738]) ).

thf(f14174,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_19
    | ~ spl0_259 ),
    inference(trivial_inequality_removal,[],[f14159]) ).

thf(f14186,plain,
    ( ~ spl0_139
    | ~ spl0_19
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f14174,f9737,f231,f4237]) ).

thf(f14189,plain,
    ( ( $true != $true )
    | ~ spl0_38
    | spl0_226 ),
    inference(constrained_superposition,[],[f9330,f541]) ).

thf(f14191,plain,
    ( $false
    | ~ spl0_38
    | spl0_226 ),
    inference(trivial_inequality_removal,[],[f14189]) ).

thf(f14192,plain,
    ( ~ spl0_38
    | spl0_226 ),
    inference(avatar_contradiction_clause,[],[f14191]) ).

thf(f14229,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_211
    | ~ spl0_259 ),
    inference(constrained_superposition,[],[f7947,f9738]) ).

thf(f14234,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_211
    | ~ spl0_259 ),
    inference(trivial_inequality_removal,[],[f14229]) ).

thf(f14239,plain,
    ( spl0_277
    | ~ spl0_211
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f14234,f9737,f7946,f10640]) ).

thf(f14241,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_179
    | ~ spl0_264 ),
    inference(constrained_superposition,[],[f9778,f6571]) ).

thf(f14242,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ( $true != $true )
    | ~ spl0_137
    | ~ spl0_264 ),
    inference(constrained_superposition,[],[f9778,f4231]) ).

thf(f14244,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ~ spl0_137
    | ~ spl0_264 ),
    inference(trivial_inequality_removal,[],[f14242]) ).

thf(f14246,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_179
    | ~ spl0_264 ),
    inference(trivial_inequality_removal,[],[f14241]) ).

thf(f14248,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_137
    | ~ spl0_264 ),
    inference(forward_subsumption_resolution,[],[f14244,f126]) ).

thf(f14249,plain,
    ( ~ spl0_9
    | ~ spl0_137
    | ~ spl0_264 ),
    inference(avatar_contradiction_clause,[],[f14248]) ).

thf(f14250,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_179
    | ~ spl0_264 ),
    inference(forward_subsumption_resolution,[],[f14246,f2551]) ).

thf(f14251,plain,
    ( ~ spl0_100
    | ~ spl0_179
    | ~ spl0_264 ),
    inference(avatar_contradiction_clause,[],[f14250]) ).

thf(f14254,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_43
    | spl0_70 ),
    inference(forward_subsumption_resolution,[],[f14037,f2291]) ).

thf(f14255,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_37
    | ~ spl0_43
    | spl0_70 ),
    inference(forward_subsumption_resolution,[],[f14254,f494]) ).

thf(f14256,plain,
    ( ~ spl0_50
    | ~ spl0_86
    | spl0_37
    | ~ spl0_43
    | spl0_70 ),
    inference(avatar_split_clause,[],[f14255,f2013,f1277,f493,f2236,f1301]) ).

thf(f14257,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f4244,f2712]) ).

thf(f14258,plain,
    ( ~ spl0_102
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f14257]) ).

thf(f14343,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_179 ),
    inference(constrained_superposition,[],[f485,f6571]) ).

thf(f14346,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_35
    | ~ spl0_179 ),
    inference(trivial_inequality_removal,[],[f14343]) ).

thf(f14348,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_13
    | ~ spl0_257 ),
    inference(constrained_superposition,[],[f212,f9731]) ).

thf(f14371,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_257 ),
    inference(trivial_inequality_removal,[],[f14348]) ).

thf(f14377,plain,
    ( ~ spl0_146
    | ~ spl0_13
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f14371,f9730,f211,f4272]) ).

thf(f14387,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_35
    | ~ spl0_170 ),
    inference(constrained_superposition,[],[f485,f6130]) ).

thf(f14390,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_170 ),
    inference(trivial_inequality_removal,[],[f14387]) ).

thf(f14406,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_98
    | ~ spl0_246 ),
    inference(constrained_superposition,[],[f2543,f9191]) ).

thf(f14410,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_98
    | ~ spl0_246 ),
    inference(trivial_inequality_removal,[],[f14406]) ).

thf(f14414,plain,
    ( $false
    | ~ spl0_98
    | ~ spl0_226
    | ~ spl0_246 ),
    inference(forward_subsumption_resolution,[],[f14410,f8875]) ).

thf(f14415,plain,
    ( ~ spl0_98
    | ~ spl0_226
    | ~ spl0_246 ),
    inference(avatar_contradiction_clause,[],[f14414]) ).

thf(f14441,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_44 ),
    inference(constrained_superposition,[],[f1281,f33]) ).

thf(f14447,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_44 ),
    inference(trivial_inequality_removal,[],[f14441]) ).

thf(f14453,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_234 ),
    inference(constrained_superposition,[],[f8976,f179]) ).

thf(f14457,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_234 ),
    inference(trivial_inequality_removal,[],[f14453]) ).

thf(f14466,plain,
    ( ~ spl0_54
    | spl0_257
    | ~ spl0_35
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f14390,f6129,f484,f9730,f1315]) ).

thf(f14467,plain,
    ( ~ spl0_20
    | spl0_100
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f14447,f1280,f2550,f234]) ).

thf(f14468,plain,
    ( ~ spl0_54
    | spl0_259
    | ~ spl0_35
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f14346,f6570,f484,f9737,f1315]) ).

thf(f14479,plain,
    ( ( $true != $true )
    | ( z
      = ( s @ z ) )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | ~ spl0_327 ),
    inference(constrained_superposition,[],[f12254,f34]) ).

thf(f14480,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( z
      = ( s @ z ) )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | ~ spl0_327 ),
    inference(trivial_inequality_removal,[],[f14479]) ).

thf(f14485,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_327 ),
    inference(forward_subsumption_resolution,[],[f14480,f28]) ).

thf(f14525,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ ( s @ ( s @ X0 ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f74,f54]) ).

thf(f14530,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ ( s @ ( s @ X0 ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f14525]) ).

thf(f14592,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_259 ),
    inference(constrained_superposition,[],[f116,f9738]) ).

thf(f14605,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_259 ),
    inference(trivial_inequality_removal,[],[f14592]) ).

thf(f14619,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( z = X0 ) )
    | ~ spl0_210 ),
    inference(constrained_superposition,[],[f7927,f35]) ).

thf(f14621,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_210 ),
    inference(trivial_inequality_removal,[],[f14619]) ).

thf(f14650,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_73 ),
    inference(constrained_superposition,[],[f2029,f179]) ).

thf(f14653,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_73 ),
    inference(trivial_inequality_removal,[],[f14650]) ).

thf(f14656,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_264 ),
    inference(constrained_superposition,[],[f9778,f179]) ).

thf(f14661,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_264 ),
    inference(trivial_inequality_removal,[],[f14656]) ).

thf(f14680,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_73
    | ~ spl0_246 ),
    inference(constrained_superposition,[],[f2029,f9191]) ).

thf(f14686,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_73
    | ~ spl0_246 ),
    inference(trivial_inequality_removal,[],[f14680]) ).

thf(f14692,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f14530,f34]) ).

thf(f14694,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f14692]) ).

thf(f14696,plain,
    ( spl0_130
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f14694,f73,f3963]) ).

thf(f14698,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_271 ),
    inference(constrained_superposition,[],[f10376,f179]) ).

thf(f14702,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_271 ),
    inference(trivial_inequality_removal,[],[f14698]) ).

thf(f14737,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_182 ),
    inference(constrained_superposition,[],[f209,f6582]) ).

thf(f14738,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_182 ),
    inference(constrained_superposition,[],[f66,f6582]) ).

thf(f14755,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_182 ),
    inference(trivial_inequality_removal,[],[f14738]) ).

thf(f14759,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_182 ),
    inference(trivial_inequality_removal,[],[f14737]) ).

thf(f14766,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_102
    | ~ spl0_182 ),
    inference(forward_subsumption_resolution,[],[f14759,f2712]) ).

thf(f14767,plain,
    ( ~ spl0_192
    | spl0_147
    | ~ spl0_102
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f14766,f6581,f2711,f4279,f7205]) ).

thf(f14771,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_73
    | ~ spl0_182
    | ~ spl0_246 ),
    inference(forward_subsumption_resolution,[],[f14755,f14686]) ).

thf(f14772,plain,
    ( $false
    | ~ spl0_73
    | ~ spl0_235
    | ~ spl0_246 ),
    inference(forward_subsumption_resolution,[],[f9055,f14686]) ).

thf(f14773,plain,
    ( ~ spl0_73
    | ~ spl0_235
    | ~ spl0_246 ),
    inference(avatar_contradiction_clause,[],[f14772]) ).

thf(f14774,plain,
    ( spl0_249
    | ~ spl0_140
    | ~ spl0_73
    | ~ spl0_182
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f14771,f9190,f6581,f2028,f4240,f9252]) ).

thf(f14775,plain,
    ( spl0_137
    | ~ spl0_30
    | spl0_147
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f14605,f9737,f4279,f348,f4230]) ).

thf(f14848,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_44
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f1281,f6127]) ).

thf(f14869,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_44
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f14848]) ).

thf(f14878,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_169
    | ~ spl0_257 ),
    inference(forward_subsumption_resolution,[],[f14869,f9731]) ).

thf(f14879,plain,
    ( ~ spl0_44
    | ~ spl0_169
    | ~ spl0_257 ),
    inference(avatar_contradiction_clause,[],[f14878]) ).

thf(f14906,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_258 ),
    inference(constrained_superposition,[],[f308,f11004]) ).

thf(f14907,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_258 ),
    inference(constrained_superposition,[],[f265,f11004]) ).

thf(f14908,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_258 ),
    inference(constrained_superposition,[],[f25,f11004]) ).

thf(f14909,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_258 ),
    inference(trivial_inequality_removal,[],[f14906]) ).

thf(f14910,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_258 ),
    inference(trivial_inequality_removal,[],[f14908]) ).

thf(f14911,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_25
    | ~ spl0_258 ),
    inference(trivial_inequality_removal,[],[f14907]) ).

thf(f14912,plain,
    ( spl0_255
    | spl0_301
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f14910,f9734,f11017,f9695]) ).

thf(f14913,plain,
    ( ~ spl0_254
    | ~ spl0_25
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f14911,f9734,f264,f9688]) ).

thf(f14920,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_180
    | ~ spl0_271 ),
    inference(constrained_superposition,[],[f10376,f6575]) ).

thf(f14924,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_180
    | ~ spl0_271 ),
    inference(trivial_inequality_removal,[],[f14920]) ).

thf(f14926,plain,
    ( ~ spl0_187
    | ~ spl0_180
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f14924,f10375,f6574,f6737]) ).

thf(f14979,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_173
    | ~ spl0_186 ),
    inference(constrained_superposition,[],[f6691,f6141]) ).

thf(f14982,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_173
    | ~ spl0_186 ),
    inference(trivial_inequality_removal,[],[f14979]) ).

thf(f15002,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_176
    | ~ spl0_275 ),
    inference(constrained_superposition,[],[f10582,f6561]) ).

thf(f15007,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_176
    | ~ spl0_275 ),
    inference(trivial_inequality_removal,[],[f15002]) ).

thf(f15010,plain,
    ( $false
    | ~ spl0_176
    | ~ spl0_226
    | ~ spl0_275 ),
    inference(forward_subsumption_resolution,[],[f15007,f8875]) ).

thf(f15011,plain,
    ( ~ spl0_176
    | ~ spl0_226
    | ~ spl0_275 ),
    inference(avatar_contradiction_clause,[],[f15010]) ).

thf(f15022,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_177 ),
    inference(constrained_superposition,[],[f1263,f6564]) ).

thf(f15040,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_177 ),
    inference(trivial_inequality_removal,[],[f15022]) ).

thf(f15051,plain,
    ( spl0_315
    | ~ spl0_314
    | spl0_246
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f15040,f6563,f9190,f11508,f11511]) ).

thf(f15054,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_185 ),
    inference(constrained_superposition,[],[f1263,f6592]) ).

thf(f15056,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_185 ),
    inference(constrained_superposition,[],[f66,f6592]) ).

thf(f15060,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_185 ),
    inference(constrained_superposition,[],[f116,f6592]) ).

thf(f15070,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_185 ),
    inference(trivial_inequality_removal,[],[f15056]) ).

thf(f15072,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_185 ),
    inference(trivial_inequality_removal,[],[f15054]) ).

thf(f15077,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_185 ),
    inference(trivial_inequality_removal,[],[f15060]) ).

thf(f15083,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_173
    | ~ spl0_185
    | ~ spl0_186 ),
    inference(forward_subsumption_resolution,[],[f15072,f14982]) ).

thf(f15086,plain,
    ( spl0_238
    | ~ spl0_239
    | ~ spl0_173
    | ~ spl0_185
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f15083,f6690,f6591,f6140,f9115,f9112]) ).

thf(f15088,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_177
    | ~ spl0_238 ),
    inference(constrained_superposition,[],[f9113,f6564]) ).

thf(f15099,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_177
    | ~ spl0_238 ),
    inference(trivial_inequality_removal,[],[f15088]) ).

thf(f15115,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_177
    | ~ spl0_238 ),
    inference(constrained_superposition,[],[f15099,f180]) ).

thf(f15120,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_177
    | ~ spl0_238 ),
    inference(trivial_inequality_removal,[],[f15115]) ).

thf(f15124,definition,
    ( spl0_346
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).

thf(f15125,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_346 ),
    inference(avatar_component_clause,[],[f15124]) ).

thf(f15127,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_177
    | ~ spl0_238 ),
    inference(forward_subsumption_resolution,[],[f15120,f28]) ).

thf(f15130,plain,
    ( spl0_346
    | ~ spl0_177
    | ~ spl0_238 ),
    inference(avatar_split_clause,[],[f15127,f9112,f6563,f15124]) ).

thf(f15158,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_176 ),
    inference(constrained_superposition,[],[f25,f6561]) ).

thf(f15160,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_176 ),
    inference(trivial_inequality_removal,[],[f15158]) ).

thf(f15162,plain,
    ( spl0_319
    | spl0_228
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f15160,f6560,f8880,f11701]) ).

thf(f15168,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_33
    | ~ spl0_176 ),
    inference(constrained_superposition,[],[f394,f6561]) ).

thf(f15179,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_33
    | ~ spl0_176 ),
    inference(trivial_inequality_removal,[],[f15168]) ).

thf(f15188,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_33
    | ~ spl0_176
    | ~ spl0_235 ),
    inference(forward_subsumption_resolution,[],[f15179,f9055]) ).

thf(f15189,plain,
    ( spl0_287
    | ~ spl0_33
    | ~ spl0_176
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f15188,f9054,f6560,f393,f10806]) ).

thf(f15224,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_242
    | ~ spl0_248 ),
    inference(constrained_superposition,[],[f9215,f9128]) ).

thf(f15227,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_242
    | ~ spl0_248 ),
    inference(trivial_inequality_removal,[],[f15224]) ).

thf(f15233,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_185
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f11512,f6592]) ).

thf(f15237,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f11512,f53]) ).

thf(f15239,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f11512,f33]) ).

thf(f15242,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f15237]) ).

thf(f15246,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f15239]) ).

thf(f15248,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_185
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f15233]) ).

thf(f15251,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_258
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f15242,f14909]) ).

thf(f15252,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_254
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f15246,f9689]) ).

thf(f15253,plain,
    ( $false
    | ~ spl0_169
    | ~ spl0_185
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f15248,f6127]) ).

thf(f15254,plain,
    ( ~ spl0_169
    | ~ spl0_185
    | ~ spl0_315 ),
    inference(avatar_contradiction_clause,[],[f15253]) ).

thf(f15255,plain,
    ( ~ spl0_81
    | ~ spl0_29
    | ~ spl0_258
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f15251,f11511,f9734,f307,f2069]) ).

thf(f15256,plain,
    ( ~ spl0_86
    | spl0_254
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f15252,f11511,f9688,f2236]) ).

thf(f15274,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f12227,f34]) ).

thf(f15276,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f15274]) ).

thf(f15315,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_182
    | ~ spl0_343 ),
    inference(constrained_superposition,[],[f13601,f6582]) ).

thf(f15317,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_343 ),
    inference(constrained_superposition,[],[f13601,f54]) ).

thf(f15320,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_343 ),
    inference(trivial_inequality_removal,[],[f15317]) ).

thf(f15324,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_182
    | ~ spl0_343 ),
    inference(trivial_inequality_removal,[],[f15315]) ).

thf(f15327,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_242
    | ~ spl0_248
    | ~ spl0_343 ),
    inference(forward_subsumption_resolution,[],[f15320,f15227]) ).

thf(f15328,plain,
    ( ~ spl0_144
    | ~ spl0_278
    | ~ spl0_182
    | ~ spl0_343 ),
    inference(avatar_split_clause,[],[f15324,f13600,f6581,f10649,f4264]) ).

thf(f15329,plain,
    ( ~ spl0_6
    | ~ spl0_30
    | ~ spl0_242
    | ~ spl0_248
    | ~ spl0_343 ),
    inference(avatar_split_clause,[],[f15327,f13600,f9214,f9127,f348,f103]) ).

thf(f15332,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_109
    | ~ spl0_173 ),
    inference(constrained_superposition,[],[f3104,f6141]) ).

thf(f15341,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_109
    | ~ spl0_173 ),
    inference(trivial_inequality_removal,[],[f15332]) ).

thf(f15348,plain,
    ( spl0_261
    | ~ spl0_109
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f15341,f6140,f3103,f9747]) ).

thf(f15353,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_176
    | ~ spl0_253 ),
    inference(constrained_superposition,[],[f9673,f6561]) ).

thf(f15355,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_176
    | ~ spl0_253 ),
    inference(trivial_inequality_removal,[],[f15353]) ).

thf(f15436,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f12223,f178]) ).

thf(f15442,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f15436]) ).

thf(f15453,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_182
    | ~ spl0_338 ),
    inference(constrained_superposition,[],[f13321,f6582]) ).

thf(f15455,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_338 ),
    inference(constrained_superposition,[],[f13321,f54]) ).

thf(f15457,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_182
    | ~ spl0_338 ),
    inference(trivial_inequality_removal,[],[f15453]) ).

thf(f15459,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_338 ),
    inference(trivial_inequality_removal,[],[f15455]) ).

thf(f15465,plain,
    ( ~ spl0_239
    | ~ spl0_144
    | ~ spl0_182
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f15457,f13320,f6581,f4264,f9115]) ).

thf(f15466,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_242
    | ~ spl0_248
    | ~ spl0_338 ),
    inference(forward_subsumption_resolution,[],[f15459,f15227]) ).

thf(f15467,plain,
    ( ~ spl0_6
    | ~ spl0_56
    | ~ spl0_242
    | ~ spl0_248
    | ~ spl0_338 ),
    inference(avatar_split_clause,[],[f15466,f13320,f9214,f9127,f1400,f103]) ).

thf(f15475,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_344 ),
    inference(constrained_superposition,[],[f13925,f54]) ).

thf(f15481,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_344 ),
    inference(trivial_inequality_removal,[],[f15475]) ).

thf(f15492,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_200 ),
    inference(constrained_superposition,[],[f7768,f54]) ).

thf(f15493,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_200 ),
    inference(constrained_superposition,[],[f7768,f34]) ).

thf(f15500,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_200 ),
    inference(trivial_inequality_removal,[],[f15492]) ).

thf(f15501,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_200 ),
    inference(trivial_inequality_removal,[],[f15493]) ).

thf(f15504,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_317 ),
    inference(constrained_superposition,[],[f11682,f865]) ).

thf(f15518,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_317 ),
    inference(trivial_inequality_removal,[],[f15504]) ).

thf(f15521,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_173
    | ~ spl0_186
    | ~ spl0_317 ),
    inference(forward_subsumption_resolution,[],[f15518,f14982]) ).

thf(f15522,plain,
    ( ~ spl0_239
    | ~ spl0_173
    | ~ spl0_186
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f15521,f11681,f6690,f6140,f9115]) ).

thf(f15523,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_319 ),
    inference(constrained_superposition,[],[f11702,f179]) ).

thf(f15524,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_171
    | ~ spl0_319 ),
    inference(constrained_superposition,[],[f11702,f6134]) ).

thf(f15528,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_319 ),
    inference(trivial_inequality_removal,[],[f15523]) ).

thf(f15530,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_171
    | ~ spl0_319 ),
    inference(trivial_inequality_removal,[],[f15524]) ).

thf(f15532,definition,
    ( spl0_349
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_349])],[avatar_definition]) ).

thf(f15533,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_349 ),
    inference(avatar_component_clause,[],[f15532]) ).

thf(f15534,plain,
    ( ~ spl0_349
    | spl0_261
    | ~ spl0_319 ),
    inference(avatar_split_clause,[],[f15528,f11701,f9747,f15532]) ).

thf(f15535,plain,
    ( $false
    | ~ spl0_171
    | ~ spl0_180
    | ~ spl0_319 ),
    inference(forward_subsumption_resolution,[],[f15530,f6575]) ).

thf(f15536,plain,
    ( ~ spl0_171
    | ~ spl0_180
    | ~ spl0_319 ),
    inference(avatar_contradiction_clause,[],[f15535]) ).

thf(f15537,plain,
    ( spl0_317
    | ~ spl0_304
    | spl0_242
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f15077,f6591,f9127,f11088,f11681]) ).

thf(f15538,plain,
    ( ~ spl0_30
    | ~ spl0_6
    | spl0_242
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f15481,f13924,f9127,f103,f348]) ).

thf(f15539,plain,
    ( ~ spl0_239
    | spl0_305
    | spl0_238
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f15072,f6591,f9112,f11093,f9115]) ).

thf(f15540,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_29
    | ~ spl0_185
    | ~ spl0_258 ),
    inference(forward_subsumption_resolution,[],[f15070,f14909]) ).

thf(f15541,plain,
    ( $false
    | ~ spl0_176
    | ~ spl0_183
    | ~ spl0_253 ),
    inference(forward_subsumption_resolution,[],[f6585,f15355]) ).

thf(f15542,plain,
    ( ~ spl0_176
    | ~ spl0_183
    | ~ spl0_253 ),
    inference(avatar_contradiction_clause,[],[f15541]) ).

thf(f15543,plain,
    ( spl0_240
    | ~ spl0_142
    | ~ spl0_29
    | ~ spl0_185
    | ~ spl0_258 ),
    inference(avatar_split_clause,[],[f15540,f9734,f6591,f307,f4258,f9119]) ).

thf(f15608,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_349 ),
    inference(constrained_superposition,[],[f15533,f179]) ).

thf(f15610,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_349 ),
    inference(trivial_inequality_removal,[],[f15608]) ).

thf(f15664,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_331 ),
    inference(constrained_superposition,[],[f865,f12380]) ).

thf(f15746,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_331 ),
    inference(forward_subsumption_resolution,[],[f15664,f29]) ).

thf(f15768,plain,
    ( $false
    | ~ spl0_331 ),
    inference(forward_subsumption_resolution,[],[f15746,f30]) ).

thf(f15769,plain,
    ~ spl0_331,
    inference(avatar_contradiction_clause,[],[f15768]) ).

thf(f15828,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_183
    | ~ spl0_264 ),
    inference(constrained_superposition,[],[f9778,f6585]) ).

thf(f15835,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_183
    | ~ spl0_264 ),
    inference(trivial_inequality_removal,[],[f15828]) ).

thf(f15838,plain,
    ( ~ spl0_226
    | ~ spl0_183
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f15835,f9777,f6584,f8874]) ).

thf(f15843,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_114
    | ~ spl0_305 ),
    inference(constrained_superposition,[],[f3237,f11094]) ).

thf(f15849,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_114
    | ~ spl0_305 ),
    inference(trivial_inequality_removal,[],[f15843]) ).

thf(f15851,plain,
    ( $false
    | ~ spl0_114
    | ~ spl0_258
    | ~ spl0_305 ),
    inference(forward_subsumption_resolution,[],[f15849,f11004]) ).

thf(f15852,plain,
    ( ~ spl0_114
    | ~ spl0_258
    | ~ spl0_305 ),
    inference(avatar_contradiction_clause,[],[f15851]) ).

thf(f15885,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_314 ),
    inference(constrained_superposition,[],[f11509,f55]) ).

thf(f15891,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_314 ),
    inference(trivial_inequality_removal,[],[f15885]) ).

thf(f15896,plain,
    ( spl0_305
    | spl0_138
    | spl0_314 ),
    inference(avatar_split_clause,[],[f15891,f11508,f4233,f11093]) ).

thf(f15972,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_173
    | ~ spl0_264 ),
    inference(constrained_superposition,[],[f9778,f6141]) ).

thf(f15973,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_173
    | ~ spl0_234 ),
    inference(constrained_superposition,[],[f8976,f6141]) ).

thf(f15977,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_173
    | ~ spl0_264 ),
    inference(trivial_inequality_removal,[],[f15972]) ).

thf(f15978,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_173
    | ~ spl0_234 ),
    inference(trivial_inequality_removal,[],[f15973]) ).

thf(f15982,plain,
    ( $false
    | ~ spl0_173
    | ~ spl0_234
    | ~ spl0_298 ),
    inference(forward_subsumption_resolution,[],[f15978,f10937]) ).

thf(f15983,plain,
    ( ~ spl0_173
    | ~ spl0_234
    | ~ spl0_298 ),
    inference(avatar_contradiction_clause,[],[f15982]) ).

thf(f15988,plain,
    ( ~ spl0_254
    | ~ spl0_173
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f15977,f9777,f6140,f9688]) ).

thf(f15993,plain,
    ( spl0_89
    | ~ spl0_28
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f14653,f2028,f300,f2289]) ).

thf(f16000,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( $true != $true ) )
    | ~ spl0_15 ),
    inference(constrained_superposition,[],[f41,f10021]) ).

thf(f16001,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | ( $true
      = ( r @ ( s @ z ) @ z ) )
    | ~ spl0_15 ),
    inference(constrained_superposition,[],[f51,f10021]) ).

thf(f16010,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f16000]) ).

thf(f16014,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ z ) @ z ) )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f16001]) ).

thf(f16064,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_210
    | ~ spl0_319 ),
    inference(constrained_superposition,[],[f11702,f14621]) ).

thf(f16075,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_210
    | ~ spl0_319 ),
    inference(trivial_inequality_removal,[],[f16064]) ).

thf(f16081,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_210
    | ~ spl0_319 ),
    inference(forward_subsumption_resolution,[],[f16075,f28]) ).

thf(f16082,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_137 ),
    inference(avatar_component_clause,[],[f4230]) ).

thf(f16084,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_242 ),
    inference(avatar_component_clause,[],[f9127]) ).

thf(f16085,plain,
    ( spl0_287
    | ~ spl0_242
    | ~ spl0_210
    | ~ spl0_319 ),
    inference(avatar_split_clause,[],[f16081,f11701,f7926,f9127,f10806]) ).

thf(f16204,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_147
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f4280,f6578]) ).

thf(f16214,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_147
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f16204]) ).

thf(f16222,plain,
    ( $false
    | ~ spl0_147
    | ~ spl0_181
    | ~ spl0_257 ),
    inference(forward_subsumption_resolution,[],[f16214,f9731]) ).

thf(f16223,plain,
    ( ~ spl0_147
    | ~ spl0_181
    | ~ spl0_257 ),
    inference(avatar_contradiction_clause,[],[f16222]) ).

thf(f16227,plain,
    ( spl0_2
    | ~ spl0_1
    | spl0_37
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f16010,f217,f493,f70,f73]) ).

thf(f16229,plain,
    ( ~ spl0_20
    | ~ spl0_6
    | spl0_51
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f15276,f12226,f1305,f103,f234]) ).

thf(f16230,plain,
    ( ~ spl0_37
    | spl0_257
    | ~ spl0_271 ),
    inference(avatar_split_clause,[],[f14702,f10375,f9730,f493]) ).

thf(f16231,plain,
    ( spl0_257
    | spl0_349 ),
    inference(avatar_split_clause,[],[f15610,f15532,f9730]) ).

thf(f16233,plain,
    ( ~ spl0_37
    | spl0_259
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f14661,f9777,f9737,f493]) ).

thf(f16236,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_9
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f16014,f1984]) ).

thf(f16237,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_15
    | ~ spl0_200 ),
    inference(forward_subsumption_resolution,[],[f15500,f10021]) ).

thf(f16238,plain,
    ( spl0_8
    | spl0_70
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f14485,f12253,f2013,f121]) ).

thf(f16239,plain,
    ( spl0_51
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f15501,f7767,f234,f242,f1305]) ).

thf(f16241,plain,
    ( ~ spl0_22
    | spl0_8
    | ~ spl0_20
    | spl0_9
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f16236,f217,f125,f234,f121,f242]) ).

thf(f16242,plain,
    ( spl0_46
    | ~ spl0_30
    | ~ spl0_15
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f16237,f7767,f217,f348,f1287]) ).

thf(f16253,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f262,f179]) ).

thf(f16254,plain,
    ( ( $true != $true )
    | ~ spl0_24
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f262,f3209]) ).

thf(f16255,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f16254]) ).

thf(f16256,plain,
    ( ~ spl0_24
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f16255]) ).

thf(f16258,plain,
    ( ! [X0: $i] :
        ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f16253]) ).

thf(f16260,plain,
    ( spl0_82
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f16258,f261,f2073]) ).

thf(f16261,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_15
    | ~ spl0_323 ),
    inference(forward_subsumption_resolution,[],[f15442,f10021]) ).

thf(f16262,plain,
    ( spl0_54
    | spl0_37
    | ~ spl0_15
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f16261,f12222,f217,f493,f1315]) ).

thf(f16298,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true
         != ( r @ z @ X1 ) )
        | ( $true != $true ) )
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f25,f1306]) ).

thf(f16299,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true
         != ( r @ z @ X1 ) ) )
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f16298]) ).

thf(f16300,plain,
    ( spl0_98
    | spl0_26
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f16299,f1305,f272,f2542]) ).

thf(f16301,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f25,f1288]) ).

thf(f16302,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f16301]) ).

thf(f16303,plain,
    ( spl0_73
    | spl0_5
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f16302,f1287,f90,f2028]) ).

thf(f16389,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_43
    | ~ spl0_212 ),
    inference(constrained_superposition,[],[f7951,f7719]) ).

thf(f16418,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_43
    | ~ spl0_212 ),
    inference(trivial_inequality_removal,[],[f16389]) ).

thf(f16451,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_287
    | ~ spl0_319 ),
    inference(constrained_superposition,[],[f11702,f10807]) ).

thf(f16453,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_287
    | ~ spl0_319 ),
    inference(trivial_inequality_removal,[],[f16451]) ).

thf(f16469,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_141 ),
    inference(constrained_superposition,[],[f308,f4244]) ).

thf(f16474,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_141 ),
    inference(trivial_inequality_removal,[],[f16469]) ).

thf(f16476,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_141
    | ~ spl0_224 ),
    inference(forward_subsumption_resolution,[],[f16474,f8827]) ).

thf(f16477,plain,
    ( ~ spl0_29
    | ~ spl0_141
    | ~ spl0_224 ),
    inference(avatar_contradiction_clause,[],[f16476]) ).

thf(f16478,plain,
    ( ~ spl0_56
    | spl0_100
    | ~ spl0_43
    | ~ spl0_212 ),
    inference(avatar_split_clause,[],[f16418,f7950,f1277,f2550,f1400]) ).

thf(f16480,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f25,f2551]) ).

thf(f16481,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f16480]) ).

thf(f16482,plain,
    ( spl0_58
    | spl0_98
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f16481,f2550,f2542,f1466]) ).

thf(f16494,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f2543,f179]) ).

thf(f16497,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f16494]) ).

thf(f16503,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f48,f6568]) ).

thf(f16504,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f41,f6568]) ).

thf(f16506,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f51,f6568]) ).

thf(f16514,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f16503]) ).

thf(f16520,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f16506]) ).

thf(f16522,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f16504]) ).

thf(f16526,plain,
    ( spl0_338
    | spl0_51
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f16514,f6567,f1305,f13320]) ).

thf(f16533,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_257 ),
    inference(constrained_superposition,[],[f48,f9731]) ).

thf(f16534,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_257 ),
    inference(constrained_superposition,[],[f41,f9731]) ).

thf(f16535,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_257 ),
    inference(constrained_superposition,[],[f116,f9731]) ).

thf(f16547,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_257 ),
    inference(trivial_inequality_removal,[],[f16533]) ).

thf(f16549,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_257 ),
    inference(trivial_inequality_removal,[],[f16535]) ).

thf(f16552,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_257 ),
    inference(trivial_inequality_removal,[],[f16534]) ).

thf(f16577,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_170
    | ~ spl0_271 ),
    inference(constrained_superposition,[],[f10376,f6130]) ).

thf(f16579,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_170
    | ~ spl0_271 ),
    inference(trivial_inequality_removal,[],[f16577]) ).

thf(f16581,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_170
    | ~ spl0_271 ),
    inference(forward_subsumption_resolution,[],[f16579,f2551]) ).

thf(f16582,plain,
    ( ~ spl0_100
    | ~ spl0_170
    | ~ spl0_271 ),
    inference(avatar_contradiction_clause,[],[f16581]) ).

thf(f16585,plain,
    ( spl0_231
    | spl0_37
    | ~ spl0_232
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f16552,f9730,f8936,f493,f8933]) ).

thf(f16586,plain,
    ( ~ spl0_37
    | spl0_89
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f16497,f2542,f2289,f493]) ).

thf(f16587,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | spl0_242
    | ~ spl0_257 ),
    inference(forward_subsumption_resolution,[],[f16549,f16084]) ).

thf(f16588,plain,
    ( ~ spl0_28
    | spl0_259
    | ~ spl0_234 ),
    inference(avatar_split_clause,[],[f14457,f8975,f9737,f300]) ).

thf(f16589,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_178
    | spl0_187 ),
    inference(forward_subsumption_resolution,[],[f16520,f9355]) ).

thf(f16590,plain,
    ( $false
    | ~ spl0_287
    | ~ spl0_310
    | ~ spl0_319 ),
    inference(forward_subsumption_resolution,[],[f11487,f16453]) ).

thf(f16591,plain,
    ( ~ spl0_287
    | ~ spl0_310
    | ~ spl0_319 ),
    inference(avatar_contradiction_clause,[],[f16590]) ).

thf(f16592,plain,
    ( spl0_28
    | ~ spl0_20
    | spl0_210
    | ~ spl0_6
    | spl0_27 ),
    inference(avatar_split_clause,[],[f7830,f297,f103,f7926,f234,f300]) ).

thf(f16594,plain,
    ( spl0_219
    | ~ spl0_218
    | spl0_100
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f16522,f6567,f2550,f8679,f8682]) ).

thf(f16595,plain,
    ( spl0_70
    | spl0_344
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f16547,f9730,f13924,f2013]) ).

thf(f16599,plain,
    ( ~ spl0_30
    | spl0_145
    | spl0_242
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f16587,f9730,f9127,f4269,f348]) ).

thf(f16600,plain,
    ( spl0_277
    | ~ spl0_86
    | ~ spl0_50
    | ~ spl0_178
    | spl0_187 ),
    inference(avatar_split_clause,[],[f16589,f6737,f6567,f1301,f2236,f10640]) ).

thf(f16614,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_130
    | spl0_242 ),
    inference(constrained_superposition,[],[f16084,f3964]) ).

thf(f16617,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ~ spl0_98
    | ~ spl0_130 ),
    inference(constrained_superposition,[],[f2543,f3964]) ).

thf(f16619,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_25
    | ~ spl0_130 ),
    inference(constrained_superposition,[],[f265,f3964]) ).

thf(f16620,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true
         != ( r @ ( s @ z ) @ X2 ) )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_130 ),
    inference(constrained_superposition,[],[f25,f3964]) ).

thf(f16621,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true
         != ( r @ ( s @ z ) @ X2 ) )
        | ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_130 ),
    inference(trivial_inequality_removal,[],[f16620]) ).

thf(f16623,plain,
    ( ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_98
    | ~ spl0_130 ),
    inference(trivial_inequality_removal,[],[f16617]) ).

thf(f16625,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_130
    | spl0_242 ),
    inference(trivial_inequality_removal,[],[f16614]) ).

thf(f16626,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true
     != ( r @ ( s @ z ) @ z ) )
    | ~ spl0_25
    | ~ spl0_130 ),
    inference(trivial_inequality_removal,[],[f16619]) ).

thf(f16628,plain,
    ( spl0_5
    | spl0_33
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f16621,f3963,f393,f90]) ).

thf(f16629,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_9
    | ~ spl0_98
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f16623,f126]) ).

thf(f16630,plain,
    ( spl0_310
    | ~ spl0_130
    | spl0_242 ),
    inference(avatar_split_clause,[],[f16625,f9127,f3963,f11486]) ).

thf(f16631,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f16626,f126]) ).

thf(f16633,plain,
    ( spl0_51
    | ~ spl0_9
    | ~ spl0_98
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f16629,f3963,f2542,f125,f1305]) ).

thf(f16634,plain,
    ( spl0_70
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f16631,f3963,f264,f125,f2013]) ).

thf(f16748,plain,
    ( ( $true != $true )
    | ~ spl0_255
    | ~ spl0_298 ),
    inference(constrained_superposition,[],[f9696,f10937]) ).

thf(f16749,plain,
    ( $false
    | ~ spl0_255
    | ~ spl0_298 ),
    inference(trivial_inequality_removal,[],[f16748]) ).

thf(f16750,plain,
    ( ~ spl0_255
    | ~ spl0_298 ),
    inference(avatar_contradiction_clause,[],[f16749]) ).

thf(f16839,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f66,f2290]) ).

thf(f16856,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f16839]) ).

thf(f16900,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f2240,f178]) ).

thf(f16913,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f16900]) ).

thf(f16915,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_54
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f16913,f2468]) ).

thf(f16917,plain,
    ( ~ spl0_22
    | spl0_54
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f16915,f2239,f1315,f242]) ).

thf(f16924,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_143 ),
    inference(constrained_superposition,[],[f308,f4262]) ).

thf(f16927,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_143 ),
    inference(trivial_inequality_removal,[],[f16924]) ).

thf(f16951,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_257 ),
    inference(constrained_superposition,[],[f66,f9731]) ).

thf(f16969,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_257 ),
    inference(trivial_inequality_removal,[],[f16951]) ).

thf(f17030,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_79
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f2064,f6127]) ).

thf(f17036,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f116,f6127]) ).

thf(f17044,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f17036]) ).

thf(f17045,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_79
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f17030]) ).

thf(f17059,plain,
    ( ~ spl0_146
    | ~ spl0_79
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f17045,f6126,f2063,f4272]) ).

thf(f17064,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_143
    | ~ spl0_235 ),
    inference(forward_subsumption_resolution,[],[f9055,f16927]) ).

thf(f17065,plain,
    ( ~ spl0_29
    | ~ spl0_143
    | ~ spl0_235 ),
    inference(avatar_contradiction_clause,[],[f17064]) ).

thf(f17066,plain,
    ( ~ spl0_56
    | spl0_242
    | spl0_238
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f17044,f6126,f9112,f9127,f1400]) ).

thf(f17074,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ z @ X1 ) )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_8 ),
    inference(constrained_superposition,[],[f25,f122]) ).

thf(f17076,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true
         != ( r @ z @ X1 ) ) )
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f17074]) ).

thf(f17077,plain,
    ( spl0_26
    | spl0_4
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f17076,f121,f87,f272]) ).

thf(f17078,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_9 ),
    inference(constrained_superposition,[],[f25,f126]) ).

thf(f17079,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f17078]) ).

thf(f17080,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f17079,f125,f90,f87]) ).

thf(f17194,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_249 ),
    inference(constrained_superposition,[],[f9253,f865]) ).

thf(f17208,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_249 ),
    inference(trivial_inequality_removal,[],[f17194]) ).

thf(f17210,plain,
    ( ~ spl0_56
    | spl0_237
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f17208,f9252,f9109,f1400]) ).

thf(f17211,plain,
    ( spl0_28
    | spl0_79
    | ~ spl0_81
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f16856,f2289,f2069,f2063,f300]) ).

thf(f17212,plain,
    ( spl0_240
    | spl0_28
    | ~ spl0_142
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f16969,f9730,f4258,f300,f9119]) ).

thf(f17218,plain,
    ( ( $true != $true )
    | ~ spl0_24
    | ~ spl0_252 ),
    inference(constrained_superposition,[],[f262,f9618]) ).

thf(f17220,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_252 ),
    inference(trivial_inequality_removal,[],[f17218]) ).

thf(f17221,plain,
    ( ~ spl0_24
    | ~ spl0_252 ),
    inference(avatar_contradiction_clause,[],[f17220]) ).

thf(f17240,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ z ) )
        | ( $true != $true )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ z @ X2 )
         != $true ) )
    | ~ spl0_65 ),
    inference(constrained_superposition,[],[f25,f1992]) ).

thf(f17241,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ z ) )
        | ( ( r @ z @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_65 ),
    inference(trivial_inequality_removal,[],[f17240]) ).

thf(f17245,plain,
    ( spl0_26
    | spl0_97
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f17241,f1991,f2537,f272]) ).

thf(f17248,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ z ) ) )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_15 ),
    inference(constrained_superposition,[],[f48,f10021]) ).

thf(f17268,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( s @ z ) ) )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f17248]) ).

thf(f17270,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_15
    | spl0_70 ),
    inference(forward_subsumption_resolution,[],[f17268,f2291]) ).

thf(f17271,plain,
    ( spl0_330
    | ~ spl0_15
    | spl0_70 ),
    inference(avatar_split_clause,[],[f17270,f2013,f217,f12370]) ).

thf(f17349,plain,
    ( $false
    | ~ spl0_188
    | ~ spl0_237 ),
    inference(forward_subsumption_resolution,[],[f9110,f6743]) ).

thf(f17350,plain,
    ( ~ spl0_188
    | ~ spl0_237 ),
    inference(avatar_contradiction_clause,[],[f17349]) ).

thf(f17353,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_19
    | ~ spl0_257 ),
    inference(constrained_superposition,[],[f232,f9731]) ).

thf(f17362,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_19
    | ~ spl0_257 ),
    inference(trivial_inequality_removal,[],[f17353]) ).

thf(f17393,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_19
    | ~ spl0_261 ),
    inference(constrained_superposition,[],[f232,f9748]) ).

thf(f17399,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_261 ),
    inference(constrained_superposition,[],[f51,f9748]) ).

thf(f17410,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_19
    | ~ spl0_261 ),
    inference(trivial_inequality_removal,[],[f17393]) ).

thf(f17411,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_261 ),
    inference(trivial_inequality_removal,[],[f17399]) ).

thf(f17422,plain,
    ( ~ spl0_283
    | ~ spl0_19
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f17410,f9747,f231,f10792]) ).

thf(f17423,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_254
    | ~ spl0_261 ),
    inference(forward_subsumption_resolution,[],[f17411,f9689]) ).

thf(f17426,plain,
    ( spl0_287
    | ~ spl0_22
    | ~ spl0_20
    | spl0_254
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f17423,f9747,f9688,f234,f242,f10806]) ).

thf(f17469,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_182 ),
    inference(constrained_superposition,[],[f1263,f6582]) ).

thf(f17470,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_182 ),
    inference(constrained_superposition,[],[f209,f6582]) ).

thf(f17471,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_182 ),
    inference(constrained_superposition,[],[f66,f6582]) ).

thf(f17475,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_182 ),
    inference(constrained_superposition,[],[f116,f6582]) ).

thf(f17487,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_182 ),
    inference(trivial_inequality_removal,[],[f17471]) ).

thf(f17493,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_182 ),
    inference(trivial_inequality_removal,[],[f17470]) ).

thf(f17494,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_182 ),
    inference(trivial_inequality_removal,[],[f17469]) ).

thf(f17496,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_182 ),
    inference(trivial_inequality_removal,[],[f17475]) ).

thf(f17498,plain,
    ( ~ spl0_250
    | spl0_246
    | spl0_215
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f17494,f6581,f8123,f9190,f9256]) ).

thf(f17535,plain,
    ( ~ spl0_144
    | ~ spl0_19
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f17362,f9730,f231,f4264]) ).

thf(f17604,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_181
    | ~ spl0_249 ),
    inference(constrained_superposition,[],[f9253,f6578]) ).

thf(f17605,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f1263,f6578]) ).

thf(f17606,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f209,f6578]) ).

thf(f17607,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f66,f6578]) ).

thf(f17610,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f41,f6578]) ).

thf(f17611,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f116,f6578]) ).

thf(f17612,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f51,f6578]) ).

thf(f17620,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f17605]) ).

thf(f17622,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f17606]) ).

thf(f17625,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f17610]) ).

thf(f17626,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_181
    | ~ spl0_249 ),
    inference(trivial_inequality_removal,[],[f17604]) ).

thf(f17628,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f17611]) ).

thf(f17631,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f17607]) ).

thf(f17632,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f17612]) ).

thf(f17635,plain,
    ( ~ spl0_146
    | ~ spl0_181
    | ~ spl0_249 ),
    inference(avatar_split_clause,[],[f17626,f9252,f6577,f4272]) ).

thf(f17642,plain,
    ( spl0_249
    | spl0_235
    | ~ spl0_140
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f17487,f6581,f4240,f9054,f9252]) ).

thf(f17643,plain,
    ( spl0_241
    | ~ spl0_146
    | spl0_137
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f17496,f6581,f4230,f4272,f9124]) ).

thf(f17644,plain,
    ( spl0_237
    | spl0_238
    | ~ spl0_239
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f17620,f6577,f9115,f9112,f9109]) ).

thf(f17645,plain,
    ( ~ spl0_142
    | spl0_240
    | spl0_224
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f17631,f6577,f8826,f9119,f4258]) ).

thf(f17652,plain,
    ( ( $true != $true )
    | ~ spl0_38
    | spl0_187 ),
    inference(constrained_superposition,[],[f9355,f541]) ).

thf(f17654,plain,
    ( $false
    | ~ spl0_38
    | spl0_187 ),
    inference(trivial_inequality_removal,[],[f17652]) ).

thf(f17655,plain,
    ( ~ spl0_38
    | spl0_187 ),
    inference(avatar_contradiction_clause,[],[f17654]) ).

thf(f17741,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_54 ),
    inference(constrained_superposition,[],[f25,f1316]) ).

thf(f17742,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_54 ),
    inference(trivial_inequality_removal,[],[f17741]) ).

thf(f17743,plain,
    ( spl0_58
    | spl0_114
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f17742,f1315,f3236,f1466]) ).

thf(f17752,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_119
    | ~ spl0_137 ),
    inference(constrained_superposition,[],[f3607,f4231]) ).

thf(f17754,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_119
    | ~ spl0_137 ),
    inference(trivial_inequality_removal,[],[f17752]) ).

thf(f17755,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_119
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f17754,f28]) ).

thf(f17756,plain,
    ( spl0_277
    | spl0_136
    | ~ spl0_119
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f17755,f4230,f3606,f4227,f10640]) ).

thf(f17777,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f66,f6568]) ).

thf(f17798,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f17777]) ).

thf(f17821,plain,
    ( $false
    | ~ spl0_255
    | ~ spl0_258 ),
    inference(forward_subsumption_resolution,[],[f11004,f9696]) ).

thf(f17822,plain,
    ( ~ spl0_255
    | ~ spl0_258 ),
    inference(avatar_contradiction_clause,[],[f17821]) ).

thf(f17823,plain,
    ( ~ spl0_232
    | spl0_187
    | spl0_231
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f17625,f6577,f8933,f6737,f8936]) ).

thf(f17825,plain,
    ( spl0_141
    | spl0_145
    | ~ spl0_278
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f17622,f6577,f10649,f4269,f4243]) ).

thf(f17840,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_16 ),
    inference(constrained_superposition,[],[f25,f222]) ).

thf(f17841,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f17840]) ).

thf(f17842,plain,
    ( spl0_29
    | spl0_5
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f17841,f221,f90,f307]) ).

thf(f17844,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( $true != $true ) )
    | ~ spl0_28 ),
    inference(constrained_superposition,[],[f25,f301]) ).

thf(f17846,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_28 ),
    inference(trivial_inequality_removal,[],[f17844]) ).

thf(f17847,plain,
    ( spl0_29
    | spl0_24
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f17846,f300,f261,f307]) ).

thf(f17854,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ z @ X1 ) )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_277 ),
    inference(constrained_superposition,[],[f25,f10641]) ).

thf(f17855,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( $true
         != ( r @ z @ X1 ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_277 ),
    inference(trivial_inequality_removal,[],[f17854]) ).

thf(f17856,plain,
    ( spl0_26
    | spl0_264
    | ~ spl0_277 ),
    inference(avatar_split_clause,[],[f17855,f10640,f9777,f272]) ).

thf(f17925,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_294 ),
    inference(constrained_superposition,[],[f10837,f27]) ).

thf(f17928,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_294 ),
    inference(trivial_inequality_removal,[],[f17925]) ).

thf(f17930,plain,
    ( spl0_298
    | spl0_263
    | spl0_294 ),
    inference(avatar_split_clause,[],[f17928,f10836,f9767,f10936]) ).

thf(f17987,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_98
    | ~ spl0_305 ),
    inference(constrained_superposition,[],[f2543,f11094]) ).

thf(f17991,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_98
    | ~ spl0_305 ),
    inference(trivial_inequality_removal,[],[f17987]) ).

thf(f17995,plain,
    ( ~ spl0_254
    | ~ spl0_98
    | ~ spl0_305 ),
    inference(avatar_split_clause,[],[f17991,f11093,f2542,f9688]) ).

thf(f18016,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_261 ),
    inference(constrained_superposition,[],[f41,f9748]) ).

thf(f18036,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_261 ),
    inference(trivial_inequality_removal,[],[f18016]) ).

thf(f18040,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | spl0_37
    | ~ spl0_261 ),
    inference(forward_subsumption_resolution,[],[f18036,f494]) ).

thf(f18042,plain,
    ( spl0_291
    | ~ spl0_290
    | spl0_37
    | ~ spl0_261 ),
    inference(avatar_split_clause,[],[f18040,f9747,f493,f10822,f10825]) ).

thf(f18043,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_147
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f4280,f6578]) ).

thf(f18049,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_147 ),
    inference(constrained_superposition,[],[f4280,f33]) ).

thf(f18053,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_147 ),
    inference(trivial_inequality_removal,[],[f18049]) ).

thf(f18054,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_147
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f18043]) ).

thf(f18067,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_349 ),
    inference(avatar_component_clause,[],[f15532]) ).

thf(f18078,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_240 ),
    inference(constrained_superposition,[],[f9120,f865]) ).

thf(f18090,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_240 ),
    inference(trivial_inequality_removal,[],[f18078]) ).

thf(f18095,plain,
    ( spl0_246
    | ~ spl0_56
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f18090,f9119,f1400,f9190]) ).

thf(f18096,plain,
    ( spl0_187
    | ~ spl0_20
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f18053,f4279,f234,f6737]) ).

thf(f18145,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_7
    | ~ spl0_182 ),
    inference(constrained_superposition,[],[f119,f6582]) ).

thf(f18146,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_7
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f119,f6578]) ).

thf(f18154,plain,
    ( ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_7
    | ~ spl0_182 ),
    inference(trivial_inequality_removal,[],[f18145]) ).

thf(f18155,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_7
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f18146]) ).

thf(f18184,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_291 ),
    inference(constrained_superposition,[],[f10826,f178]) ).

thf(f18186,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_291 ),
    inference(constrained_superposition,[],[f10826,f53]) ).

thf(f18191,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_291 ),
    inference(trivial_inequality_removal,[],[f18186]) ).

thf(f18192,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_291 ),
    inference(trivial_inequality_removal,[],[f18184]) ).

thf(f18199,plain,
    ( spl0_298
    | ~ spl0_6
    | ~ spl0_291 ),
    inference(avatar_split_clause,[],[f18191,f10825,f103,f10936]) ).

thf(f18200,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_258
    | ~ spl0_291 ),
    inference(forward_subsumption_resolution,[],[f18192,f9735]) ).

thf(f18201,plain,
    ( ~ spl0_22
    | spl0_258
    | ~ spl0_291 ),
    inference(avatar_split_clause,[],[f18200,f10825,f9734,f242]) ).

thf(f18203,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( $true != $true )
    | ~ spl0_236 ),
    inference(constrained_superposition,[],[f9065,f179]) ).

thf(f18211,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_236 ),
    inference(trivial_inequality_removal,[],[f18203]) ).

thf(f18214,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_147
    | ~ spl0_181
    | ~ spl0_236 ),
    inference(forward_subsumption_resolution,[],[f18211,f18054]) ).

thf(f18215,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_147
    | ~ spl0_181
    | ~ spl0_236 ),
    inference(forward_subsumption_resolution,[],[f18214,f301]) ).

thf(f18216,plain,
    ( ~ spl0_28
    | ~ spl0_147
    | ~ spl0_181
    | ~ spl0_236 ),
    inference(avatar_contradiction_clause,[],[f18215]) ).

thf(f18217,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_28
    | ~ spl0_236 ),
    inference(forward_subsumption_resolution,[],[f18211,f301]) ).

thf(f18218,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | spl0_64
    | ~ spl0_178 ),
    inference(forward_subsumption_resolution,[],[f17798,f2038]) ).

thf(f18220,plain,
    ( ~ spl0_144
    | ~ spl0_142
    | spl0_137
    | ~ spl0_7
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f18154,f6581,f118,f4230,f4258,f4264]) ).

thf(f18222,plain,
    ( ~ spl0_192
    | spl0_143
    | spl0_147
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f17493,f6581,f4279,f4261,f7205]) ).

thf(f18223,plain,
    ( spl0_257
    | ~ spl0_28
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f18217,f9064,f300,f9730]) ).

thf(f18224,plain,
    ( ~ spl0_140
    | spl0_249
    | spl0_64
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f18218,f6567,f1987,f9252,f4240]) ).

thf(f18226,plain,
    ( spl0_310
    | spl0_226
    | ~ spl0_139
    | ~ spl0_218
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f17632,f6577,f8679,f4237,f8874,f11486]) ).

thf(f18234,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ z @ X1 ) )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_70 ),
    inference(constrained_superposition,[],[f25,f2014]) ).

thf(f18235,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ z @ X1 ) )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_70 ),
    inference(trivial_inequality_removal,[],[f18234]) ).

thf(f18237,plain,
    ( spl0_26
    | spl0_25
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f18235,f2013,f264,f272]) ).

thf(f18252,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_89 ),
    inference(constrained_superposition,[],[f41,f2290]) ).

thf(f18272,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) ) )
    | ~ spl0_89 ),
    inference(trivial_inequality_removal,[],[f18252]) ).

thf(f18278,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | spl0_37
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[],[f18272,f494]) ).

thf(f18281,plain,
    ( ~ spl0_86
    | spl0_87
    | spl0_37
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f18278,f2289,f493,f2239,f2236]) ).

thf(f18287,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_119
    | ~ spl0_242 ),
    inference(constrained_superposition,[],[f3607,f9128]) ).

thf(f18289,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_119
    | ~ spl0_242 ),
    inference(trivial_inequality_removal,[],[f18287]) ).

thf(f18290,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_119
    | ~ spl0_242 ),
    inference(forward_subsumption_resolution,[],[f18289,f28]) ).

thf(f18291,plain,
    ( spl0_310
    | spl0_251
    | ~ spl0_119
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f18290,f9127,f3606,f9357,f11486]) ).

thf(f18307,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_43 ),
    inference(constrained_superposition,[],[f41,f7719]) ).

thf(f18310,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_43 ),
    inference(constrained_superposition,[],[f51,f7719]) ).

thf(f18321,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ z ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f18310]) ).

thf(f18325,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f18307]) ).

thf(f18333,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_43
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f18325,f1467]) ).

thf(f18336,plain,
    ( ~ spl0_20
    | spl0_19
    | ~ spl0_43
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f18333,f1466,f1277,f231,f234]) ).

thf(f18371,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_142 ),
    inference(constrained_superposition,[],[f4259,f27]) ).

thf(f18373,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_142 ),
    inference(trivial_inequality_removal,[],[f18371]) ).

thf(f18376,plain,
    ( spl0_235
    | spl0_227
    | spl0_142 ),
    inference(avatar_split_clause,[],[f18373,f4258,f8877,f9054]) ).

thf(f18378,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_252 ),
    inference(constrained_superposition,[],[f25,f9618]) ).

thf(f18380,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_252 ),
    inference(trivial_inequality_removal,[],[f18378]) ).

thf(f18381,plain,
    ( spl0_193
    | spl0_24
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f18380,f9617,f261,f7246]) ).

thf(f18404,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f2240,f53]) ).

thf(f18415,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f18404]) ).

thf(f18422,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | spl0_64
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f18415,f2038]) ).

thf(f18423,plain,
    ( ~ spl0_6
    | spl0_64
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f18422,f2239,f1987,f103]) ).

thf(f18424,plain,
    ( spl0_241
    | spl0_242
    | ~ spl0_148
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f17628,f6577,f4282,f9127,f9124]) ).

thf(f18426,plain,
    ( ~ spl0_140
    | spl0_242
    | ~ spl0_139
    | ~ spl0_7
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f18155,f6577,f118,f4237,f9127,f4240]) ).

thf(f18454,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f25,f3209]) ).

thf(f18456,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f18454]) ).

thf(f18457,plain,
    ( spl0_114
    | spl0_24
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f18456,f3106,f261,f3236]) ).

thf(f18468,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_148 ),
    inference(constrained_superposition,[],[f4283,f27]) ).

thf(f18469,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
      = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_148 ),
    inference(trivial_inequality_removal,[],[f18468]) ).

thf(f18472,plain,
    ( spl0_138
    | spl0_137
    | spl0_148 ),
    inference(avatar_split_clause,[],[f18469,f4282,f4230,f4233]) ).

thf(f18500,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_259 ),
    inference(constrained_superposition,[],[f48,f9738]) ).

thf(f18501,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_259 ),
    inference(constrained_superposition,[],[f41,f9738]) ).

thf(f18504,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_259 ),
    inference(constrained_superposition,[],[f51,f9738]) ).

thf(f18513,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_259 ),
    inference(trivial_inequality_removal,[],[f18504]) ).

thf(f18517,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ z ) ) )
    | ~ spl0_259 ),
    inference(trivial_inequality_removal,[],[f18501]) ).

thf(f18524,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_259 ),
    inference(trivial_inequality_removal,[],[f18500]) ).

thf(f18577,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_284 ),
    inference(constrained_superposition,[],[f25,f10797]) ).

thf(f18578,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_284 ),
    inference(trivial_inequality_removal,[],[f18577]) ).

thf(f18580,plain,
    ( spl0_5
    | spl0_297
    | ~ spl0_284 ),
    inference(avatar_split_clause,[],[f18578,f10796,f10926,f90]) ).

thf(f18582,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_349 ),
    inference(constrained_superposition,[],[f25,f18067]) ).

thf(f18583,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_349 ),
    inference(trivial_inequality_removal,[],[f18582]) ).

thf(f18585,plain,
    ( spl0_24
    | spl0_321
    | ~ spl0_349 ),
    inference(avatar_split_clause,[],[f18583,f15532,f12005,f261]) ).

thf(f18597,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_170 ),
    inference(constrained_superposition,[],[f25,f6130]) ).

thf(f18598,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_170 ),
    inference(trivial_inequality_removal,[],[f18597]) ).

thf(f18600,plain,
    ( spl0_58
    | spl0_225
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f18598,f6129,f8864,f1466]) ).

thf(f18604,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_239 ),
    inference(constrained_superposition,[],[f9116,f865]) ).

thf(f18608,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_239 ),
    inference(constrained_superposition,[],[f9116,f27]) ).

thf(f18611,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_239 ),
    inference(trivial_inequality_removal,[],[f18608]) ).

thf(f18613,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_239 ),
    inference(trivial_inequality_removal,[],[f18604]) ).

thf(f18616,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_228
    | spl0_239 ),
    inference(forward_subsumption_resolution,[],[f18611,f8881]) ).

thf(f18618,plain,
    ( $false
    | ~ spl0_228
    | spl0_239 ),
    inference(forward_subsumption_resolution,[],[f18613,f8881]) ).

thf(f18619,plain,
    ( ~ spl0_228
    | spl0_239 ),
    inference(avatar_contradiction_clause,[],[f18618]) ).

thf(f18624,plain,
    ( spl0_247
    | ~ spl0_228
    | spl0_239 ),
    inference(avatar_split_clause,[],[f18616,f9115,f8880,f9193]) ).

thf(f18627,plain,
    ( spl0_19
    | ~ spl0_20
    | spl0_100
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f18325,f1277,f2550,f234,f231]) ).

thf(f18628,plain,
    ( spl0_219
    | ~ spl0_218
    | spl0_37
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f18517,f9737,f493,f8679,f8682]) ).

thf(f18629,plain,
    ( ~ spl0_50
    | spl0_70
    | spl0_37
    | ~ spl0_86
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f18321,f1277,f2236,f493,f2013,f1301]) ).

thf(f18630,plain,
    ( spl0_187
    | ~ spl0_20
    | spl0_277
    | ~ spl0_22
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f18513,f9737,f242,f10640,f234,f6737]) ).

thf(f18632,plain,
    ( spl0_70
    | spl0_343
    | ~ spl0_259 ),
    inference(avatar_split_clause,[],[f18524,f9737,f13600,f2013]) ).

thf(f18659,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_64 ),
    inference(constrained_superposition,[],[f25,f1988]) ).

thf(f18661,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_64 ),
    inference(trivial_inequality_removal,[],[f18659]) ).

thf(f18662,plain,
    ( spl0_73
    | spl0_58
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f18661,f1987,f1466,f2028]) ).

thf(f18705,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_146 ),
    inference(constrained_superposition,[],[f4273,f27]) ).

thf(f18708,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_146 ),
    inference(trivial_inequality_removal,[],[f18705]) ).

thf(f18710,plain,
    ( spl0_242
    | spl0_227
    | spl0_146 ),
    inference(avatar_split_clause,[],[f18708,f4272,f8877,f9127]) ).

thf(f18719,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_254 ),
    inference(constrained_superposition,[],[f25,f11080]) ).

thf(f18720,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_254 ),
    inference(trivial_inequality_removal,[],[f18719]) ).

thf(f18721,plain,
    ( spl0_275
    | spl0_255
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f18720,f9688,f9695,f10581]) ).

thf(f18794,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
    | ~ spl0_298 ),
    inference(constrained_superposition,[],[f25,f10937]) ).

thf(f18795,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
    | ~ spl0_298 ),
    inference(trivial_inequality_removal,[],[f18794]) ).

thf(f18797,plain,
    ( spl0_297
    | spl0_255
    | ~ spl0_298 ),
    inference(avatar_split_clause,[],[f18795,f10936,f9695,f10926]) ).

thf(f18829,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f209,f6127]) ).

thf(f18830,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f66,f6127]) ).

thf(f18833,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f41,f6127]) ).

thf(f18835,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true != $true ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f116,f6127]) ).

thf(f18849,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f18835]) ).

thf(f18852,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f18833]) ).

thf(f18854,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f18830]) ).

thf(f18855,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f18829]) ).

thf(f18922,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_180 ),
    inference(constrained_superposition,[],[f25,f6575]) ).

thf(f18923,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_180 ),
    inference(trivial_inequality_removal,[],[f18922]) ).

thf(f18924,plain,
    ( spl0_188
    | spl0_248
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f18923,f6574,f9214,f6742]) ).

thf(f18925,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_183 ),
    inference(constrained_superposition,[],[f25,f6585]) ).

thf(f18926,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_183 ),
    inference(trivial_inequality_removal,[],[f18925]) ).

thf(f18927,plain,
    ( spl0_228
    | spl0_248
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f18926,f6584,f9214,f8880]) ).

thf(f18944,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_180
    | ~ spl0_236 ),
    inference(constrained_superposition,[],[f9065,f6575]) ).

thf(f18951,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_180
    | ~ spl0_236 ),
    inference(trivial_inequality_removal,[],[f18944]) ).

thf(f18960,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_147
    | ~ spl0_172 ),
    inference(constrained_superposition,[],[f4280,f6137]) ).

thf(f18977,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_147
    | ~ spl0_172 ),
    inference(trivial_inequality_removal,[],[f18960]) ).

thf(f18992,plain,
    ( $false
    | ~ spl0_147
    | ~ spl0_172
    | ~ spl0_261 ),
    inference(forward_subsumption_resolution,[],[f18977,f9748]) ).

thf(f18993,plain,
    ( ~ spl0_147
    | ~ spl0_172
    | ~ spl0_261 ),
    inference(avatar_contradiction_clause,[],[f18992]) ).

thf(f19000,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | spl0_54
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[],[f18855,f2468]) ).

thf(f19001,plain,
    ( spl0_145
    | ~ spl0_278
    | spl0_54
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f19000,f6126,f1315,f10649,f4269]) ).

thf(f19007,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_141 ),
    inference(constrained_superposition,[],[f25,f4244]) ).

thf(f19009,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_141 ),
    inference(trivial_inequality_removal,[],[f19007]) ).

thf(f19011,plain,
    ( spl0_193
    | spl0_188
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f19009,f4243,f6742,f7246]) ).

thf(f19026,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f116,f6568]) ).

thf(f19041,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f19026]) ).

thf(f19049,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | spl0_137
    | ~ spl0_178 ),
    inference(forward_subsumption_resolution,[],[f19041,f16082]) ).

thf(f19050,plain,
    ( ~ spl0_56
    | spl0_215
    | spl0_137
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f19049,f6567,f4230,f8123,f1400]) ).

thf(f19089,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_174 ),
    inference(constrained_superposition,[],[f1263,f6144]) ).

thf(f19105,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_174 ),
    inference(trivial_inequality_removal,[],[f19089]) ).

thf(f19120,plain,
    ( spl0_215
    | ~ spl0_250
    | spl0_305
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f19105,f6143,f11093,f9256,f8123]) ).

thf(f19142,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_215 ),
    inference(constrained_superposition,[],[f8124,f53]) ).

thf(f19150,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_215 ),
    inference(trivial_inequality_removal,[],[f19142]) ).

thf(f19155,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_180
    | ~ spl0_215
    | ~ spl0_236 ),
    inference(forward_subsumption_resolution,[],[f19150,f18951]) ).

thf(f19156,plain,
    ( ~ spl0_81
    | ~ spl0_180
    | ~ spl0_215
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f19155,f9064,f8123,f6574,f2069]) ).

thf(f19190,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_297 ),
    inference(constrained_superposition,[],[f10927,f179]) ).

thf(f19197,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
    | ~ spl0_297 ),
    inference(trivial_inequality_removal,[],[f19190]) ).

thf(f19199,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_145
    | ~ spl0_177 ),
    inference(constrained_superposition,[],[f4270,f6564]) ).

thf(f19201,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_177 ),
    inference(constrained_superposition,[],[f209,f6564]) ).

thf(f19226,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_145
    | ~ spl0_177 ),
    inference(trivial_inequality_removal,[],[f19199]) ).

thf(f19228,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_177 ),
    inference(trivial_inequality_removal,[],[f19201]) ).

thf(f19233,plain,
    ( $false
    | ~ spl0_145
    | ~ spl0_177
    | ~ spl0_261 ),
    inference(forward_subsumption_resolution,[],[f19226,f9748]) ).

thf(f19234,plain,
    ( ~ spl0_145
    | ~ spl0_177
    | ~ spl0_261 ),
    inference(avatar_contradiction_clause,[],[f19233]) ).

thf(f19235,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | spl0_143
    | ~ spl0_177 ),
    inference(forward_subsumption_resolution,[],[f19228,f9751]) ).

thf(f19236,plain,
    ( spl0_288
    | ~ spl0_289
    | spl0_143
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f19235,f6563,f4261,f10818,f10815]) ).

thf(f19237,plain,
    ( ~ spl0_56
    | spl0_238
    | spl0_242
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f18849,f6126,f9127,f9112,f1400]) ).

thf(f19256,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_172
    | ~ spl0_215 ),
    inference(constrained_superposition,[],[f8124,f6137]) ).

thf(f19257,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_172 ),
    inference(constrained_superposition,[],[f1263,f6137]) ).

thf(f19277,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_172 ),
    inference(trivial_inequality_removal,[],[f19257]) ).

thf(f19282,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_172
    | ~ spl0_215 ),
    inference(trivial_inequality_removal,[],[f19256]) ).

thf(f19288,plain,
    ( ~ spl0_314
    | spl0_315
    | spl0_237
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f19277,f6136,f9109,f11511,f11508]) ).

thf(f19291,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_172
    | ~ spl0_215 ),
    inference(constrained_superposition,[],[f19282,f180]) ).

thf(f19298,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_172
    | ~ spl0_215 ),
    inference(trivial_inequality_removal,[],[f19291]) ).

thf(f19302,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_172
    | ~ spl0_215 ),
    inference(forward_subsumption_resolution,[],[f19298,f28]) ).

thf(f19303,plain,
    ( spl0_346
    | ~ spl0_172
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f19302,f8123,f6136,f15124]) ).

thf(f19304,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_297
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f10927,f15125]) ).

thf(f19305,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_275
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f10582,f15125]) ).

thf(f19307,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_297
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f19304]) ).

thf(f19309,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_275
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f19305]) ).

thf(f19310,plain,
    ( $false
    | ~ spl0_64
    | ~ spl0_297
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f19307,f1988]) ).

thf(f19311,plain,
    ( ~ spl0_64
    | ~ spl0_297
    | ~ spl0_346 ),
    inference(avatar_contradiction_clause,[],[f19310]) ).

thf(f19313,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_275
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f19309,f2551]) ).

thf(f19314,plain,
    ( ~ spl0_100
    | ~ spl0_275
    | ~ spl0_346 ),
    inference(avatar_contradiction_clause,[],[f19313]) ).

thf(f19315,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_28
    | ~ spl0_297 ),
    inference(forward_subsumption_resolution,[],[f19197,f301]) ).

thf(f19317,plain,
    ( spl0_64
    | spl0_240
    | ~ spl0_142
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f18854,f6126,f4258,f9119,f1987]) ).

thf(f19318,plain,
    ( spl0_231
    | spl0_100
    | ~ spl0_232
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f18852,f6126,f8936,f2550,f8933]) ).

thf(f19319,plain,
    ( spl0_261
    | ~ spl0_28
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f19315,f10926,f300,f9747]) ).

thf(f19329,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_140 ),
    inference(constrained_superposition,[],[f4241,f27]) ).

thf(f19330,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_140 ),
    inference(trivial_inequality_removal,[],[f19329]) ).

thf(f19333,plain,
    ( spl0_224
    | spl0_138
    | spl0_140 ),
    inference(avatar_split_clause,[],[f19330,f4240,f4233,f8826]) ).

thf(f19340,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_226 ),
    inference(constrained_superposition,[],[f25,f8875]) ).

thf(f19341,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_226 ),
    inference(trivial_inequality_removal,[],[f19340]) ).

thf(f19342,plain,
    ( spl0_271
    | spl0_228
    | ~ spl0_226 ),
    inference(avatar_split_clause,[],[f19341,f8874,f8880,f10375]) ).

thf(f19343,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( $true
         != ( r @ z @ X1 ) )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f25,f11487]) ).

thf(f19344,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ z @ X1 ) )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f19343]) ).

thf(f19345,plain,
    ( spl0_271
    | spl0_26
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f19344,f11486,f272,f10375]) ).

thf(f19346,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_137 ),
    inference(constrained_superposition,[],[f25,f4231]) ).

thf(f19347,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_137 ),
    inference(trivial_inequality_removal,[],[f19346]) ).

thf(f19348,plain,
    ( spl0_234
    | spl0_5
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f19347,f4230,f90,f8975]) ).

thf(f19350,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_224 ),
    inference(constrained_superposition,[],[f25,f8827]) ).

thf(f19352,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_224 ),
    inference(trivial_inequality_removal,[],[f19350]) ).

thf(f19353,plain,
    ( spl0_188
    | spl0_234
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f19352,f8826,f8975,f6742]) ).

thf(f19368,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ z @ X1 ) )
        | ( $true != $true ) )
    | ~ spl0_287 ),
    inference(constrained_superposition,[],[f25,f10807]) ).

thf(f19369,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true
         != ( r @ z @ X1 ) ) )
    | ~ spl0_287 ),
    inference(trivial_inequality_removal,[],[f19368]) ).

thf(f19370,plain,
    ( spl0_26
    | spl0_275
    | ~ spl0_287 ),
    inference(avatar_split_clause,[],[f19369,f10806,f10581,f272]) ).

thf(f19372,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_235 ),
    inference(constrained_superposition,[],[f25,f9055]) ).

thf(f19374,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_235 ),
    inference(trivial_inequality_removal,[],[f19372]) ).

thf(f19375,plain,
    ( spl0_228
    | spl0_236
    | ~ spl0_235 ),
    inference(avatar_split_clause,[],[f19374,f9054,f9064,f8880]) ).

thf(f19380,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_210 ),
    inference(constrained_superposition,[],[f7927,f35]) ).

thf(f19383,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ z ) @ ( s @ X0 ) ) )
        | ( z = X0 )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_210 ),
    inference(trivial_inequality_removal,[],[f19380]) ).

thf(f19385,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f209,f6568]) ).

thf(f19389,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_178 ),
    inference(constrained_superposition,[],[f41,f6568]) ).

thf(f19399,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) ) )
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f19389]) ).

thf(f19401,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_178 ),
    inference(trivial_inequality_removal,[],[f19385]) ).

thf(f19413,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ z @ X0 ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_58
    | ~ spl0_178 ),
    inference(forward_subsumption_resolution,[],[f19399,f1467]) ).

thf(f19414,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | spl0_54
    | ~ spl0_178 ),
    inference(forward_subsumption_resolution,[],[f19401,f2468]) ).

thf(f19418,plain,
    ( ~ spl0_218
    | spl0_219
    | ~ spl0_58
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f19413,f6567,f1466,f8682,f8679]) ).

thf(f19419,plain,
    ( ~ spl0_192
    | spl0_147
    | spl0_54
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f19414,f6567,f1315,f4279,f7205]) ).

thf(f19426,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_237 ),
    inference(constrained_superposition,[],[f25,f9110]) ).

thf(f19428,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_237 ),
    inference(trivial_inequality_removal,[],[f19426]) ).

thf(f19429,plain,
    ( spl0_186
    | spl0_188
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f19428,f9109,f6742,f6690]) ).

thf(f19446,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_170 ),
    inference(forward_subsumption_resolution,[],[f6130,f1467]) ).

thf(f19447,plain,
    ( ~ spl0_58
    | ~ spl0_170 ),
    inference(avatar_contradiction_clause,[],[f19446]) ).

thf(f19452,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( s @ z ) @ X2 ) )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true )
        | ( z = X0 )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_210 ),
    inference(constrained_superposition,[],[f25,f19383]) ).

thf(f19454,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ z ) @ X2 ) )
        | ( ( r @ X1 @ ( s @ X0 ) )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( z = X0 )
        | ( ( r @ z @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_210 ),
    inference(trivial_inequality_removal,[],[f19452]) ).

thf(f19458,plain,
    ( spl0_32
    | spl0_5
    | ~ spl0_210 ),
    inference(avatar_split_clause,[],[f19454,f7926,f90,f383]) ).

thf(f19462,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f25,f6738]) ).

thf(f19463,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f19462]) ).

thf(f19464,plain,
    ( spl0_188
    | spl0_264
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f19463,f6737,f9777,f6742]) ).

thf(f19472,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ z ) ) ) )
    | ~ spl0_242 ),
    inference(constrained_superposition,[],[f25,f9128]) ).

thf(f19473,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_242 ),
    inference(trivial_inequality_removal,[],[f19472]) ).

thf(f19474,plain,
    ( spl0_236
    | spl0_5
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f19473,f9127,f90,f9064]) ).

thf(f19477,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_143 ),
    inference(constrained_superposition,[],[f25,f4262]) ).

thf(f19479,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_143 ),
    inference(trivial_inequality_removal,[],[f19477]) ).

thf(f19481,plain,
    ( spl0_321
    | spl0_228
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f19479,f4261,f8880,f12005]) ).

thf(f19485,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_179 ),
    inference(constrained_superposition,[],[f25,f6571]) ).

thf(f19486,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_179 ),
    inference(trivial_inequality_removal,[],[f19485]) ).

thf(f19487,plain,
    ( spl0_186
    | spl0_58
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f19486,f6570,f1466,f6690]) ).

thf(f19509,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_170 ),
    inference(constrained_superposition,[],[f25,f6130]) ).

thf(f19510,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_170 ),
    inference(trivial_inequality_removal,[],[f19509]) ).

thf(f19511,plain,
    ( spl0_58
    | spl0_225
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f19510,f6129,f8864,f1466]) ).

thf(f19516,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_239 ),
    inference(constrained_superposition,[],[f9116,f27]) ).

thf(f19520,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_239 ),
    inference(trivial_inequality_removal,[],[f19516]) ).

thf(f19525,plain,
    ( spl0_247
    | spl0_246
    | spl0_239 ),
    inference(avatar_split_clause,[],[f19520,f9115,f9190,f9193]) ).

thf(f19554,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_246 ),
    inference(constrained_superposition,[],[f25,f9191]) ).

thf(f19556,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_246 ),
    inference(trivial_inequality_removal,[],[f19554]) ).

thf(f19557,plain,
    ( spl0_228
    | spl0_225
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f19556,f9190,f8864,f8880]) ).

thf(f19652,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_171
    | ~ spl0_275 ),
    inference(constrained_superposition,[],[f10582,f6134]) ).

thf(f19653,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f25,f6134]) ).

thf(f19654,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_171
    | ~ spl0_275 ),
    inference(trivial_inequality_removal,[],[f19652]) ).

thf(f19655,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f19653]) ).

thf(f19656,plain,
    ( $false
    | ~ spl0_171
    | ~ spl0_187
    | ~ spl0_275 ),
    inference(forward_subsumption_resolution,[],[f19654,f6738]) ).

thf(f19657,plain,
    ( ~ spl0_171
    | ~ spl0_187
    | ~ spl0_275 ),
    inference(avatar_contradiction_clause,[],[f19656]) ).

thf(f19658,plain,
    ( spl0_253
    | spl0_188
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f19655,f6133,f6742,f9672]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f78]) ).

cnf(s3,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s4,plain,
    ( spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f123]) ).

cnf(s5,plain,
    ( spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f130]) ).

cnf(s7,plain,
    ( ~ spl0_5
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f136]) ).

cnf(s8,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f158]) ).

cnf(s9,plain,
    ( spl0_6
    | spl0_8 ),
    inference(sat_conversion,[],[f163]) ).

cnf(s12,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f219]) ).

cnf(s14,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f236]) ).

cnf(s17,plain,
    ( spl0_20
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s18,plain,
    ( spl0_22
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s19,plain,
    ( spl0_20
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f282]) ).

cnf(s22,plain,
    ( spl0_15
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s27,plain,
    ( spl0_24
    | ~ spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s28,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s30,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_32 ),
    inference(sat_conversion,[],[f385]) ).

cnf(s33,plain,
    ( spl0_24
    | spl0_35 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s37,plain,
    ( ~ spl0_24
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s43,plain,
    ( ~ spl0_43
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f1285]) ).

cnf(s49,plain,
    ( spl0_50
    | spl0_51 ),
    inference(sat_conversion,[],[f1323]) ).

cnf(s132,plain,
    ( ~ spl0_15
    | ~ spl0_44
    | spl0_64 ),
    inference(sat_conversion,[],[f1989]) ).

cnf(s149,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_18
    | spl0_65 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s153,plain,
    ( spl0_46
    | spl0_56
    | spl0_78 ),
    inference(sat_conversion,[],[f2057]) ).

cnf(s155,plain,
    ( spl0_46
    | spl0_56 ),
    inference(sat_conversion,[],[f2060]) ).

cnf(s156,plain,
    ( spl0_79
    | spl0_80
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f2071]) ).

cnf(s159,plain,
    ( ~ spl0_56
    | spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f2076]) ).

cnf(s161,plain,
    ( ~ spl0_8
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s162,plain,
    ( ~ spl0_26
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f2092]) ).

cnf(s167,plain,
    ( ~ spl0_14
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f2135]) ).

cnf(s174,plain,
    ( ~ spl0_28
    | spl0_37
    | ~ spl0_73
    | ~ spl0_86
    | spl0_87 ),
    inference(sat_conversion,[],[f2241]) ).

cnf(s177,plain,
    ( ~ spl0_35
    | ~ spl0_51
    | ~ spl0_70
    | spl0_89 ),
    inference(sat_conversion,[],[f2292]) ).

cnf(s188,plain,
    ( ~ spl0_14
    | spl0_54
    | spl0_64 ),
    inference(sat_conversion,[],[f2486]) ).

cnf(s189,plain,
    ( spl0_58
    | ~ spl0_79
    | spl0_94 ),
    inference(sat_conversion,[],[f2512]) ).

cnf(s195,plain,
    ( ~ spl0_1
    | ~ spl0_79
    | spl0_100 ),
    inference(sat_conversion,[],[f2552]) ).

cnf(s196,plain,
    ( ~ spl0_18
    | spl0_54
    | spl0_100 ),
    inference(sat_conversion,[],[f2553]) ).

cnf(s197,plain,
    ( spl0_9
    | ~ spl0_79
    | spl0_100 ),
    inference(sat_conversion,[],[f2556]) ).

cnf(s201,plain,
    ( ~ spl0_11
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_29
    | spl0_38 ),
    inference(sat_conversion,[],[f2641]) ).

cnf(s203,plain,
    ( ~ spl0_29
    | ~ spl0_35
    | ~ spl0_80
    | spl0_89
    | spl0_102 ),
    inference(sat_conversion,[],[f2713]) ).

cnf(s208,plain,
    ( spl0_89
    | ~ spl0_94
    | spl0_106 ),
    inference(sat_conversion,[],[f2971]) ).

cnf(s212,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f3036]) ).

cnf(s214,plain,
    ( ~ spl0_45
    | ~ spl0_102
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f3108]) ).

cnf(s230,plain,
    ( ~ spl0_82
    | spl0_89 ),
    inference(sat_conversion,[],[f3265]) ).

cnf(s232,plain,
    ( ~ spl0_19
    | spl0_24
    | spl0_115 ),
    inference(sat_conversion,[],[f3381]) ).

cnf(s234,plain,
    ( ~ spl0_19
    | spl0_26
    | ~ spl0_28
    | ~ spl0_32
    | spl0_117 ),
    inference(sat_conversion,[],[f3429]) ).

cnf(s239,plain,
    ( ~ spl0_2
    | spl0_70
    | ~ spl0_115
    | spl0_119 ),
    inference(sat_conversion,[],[f3615]) ).

cnf(s240,plain,
    ( ~ spl0_16
    | ~ spl0_115
    | spl0_119 ),
    inference(sat_conversion,[],[f3616]) ).

cnf(s251,plain,
    ( spl0_16
    | spl0_30 ),
    inference(sat_conversion,[],[f3910]) ).

cnf(s252,plain,
    ( spl0_16
    | spl0_27
    | spl0_30 ),
    inference(sat_conversion,[],[f3911]) ).

cnf(s257,plain,
    ( ~ spl0_16
    | ~ spl0_35
    | ~ spl0_46
    | spl0_89 ),
    inference(sat_conversion,[],[f3925]) ).

cnf(s258,plain,
    ( ~ spl0_16
    | ~ spl0_46
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f3926]) ).

cnf(s262,plain,
    ( ~ spl0_2
    | spl0_16
    | spl0_27
    | spl0_70 ),
    inference(sat_conversion,[],[f3952]) ).

cnf(s265,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_128 ),
    inference(sat_conversion,[],[f3958]) ).

cnf(s266,plain,
    ( ~ spl0_6
    | spl0_129
    | spl0_130 ),
    inference(sat_conversion,[],[f3965]) ).

cnf(s270,plain,
    ( spl0_58
    | ~ spl0_64
    | spl0_73 ),
    inference(sat_conversion,[],[f3986]) ).

cnf(s319,plain,
    ~ spl0_55,
    inference(sat_conversion,[],[f4300]) ).

cnf(s327,plain,
    ( spl0_14
    | spl0_28
    | ~ spl0_30
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f4446]) ).

cnf(s331,plain,
    ( spl0_8
    | spl0_27
    | spl0_28
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f4762]) ).

cnf(s357,plain,
    ~ spl0_27,
    inference(sat_conversion,[],[f4985]) ).

cnf(s366,plain,
    ( ~ spl0_3
    | ~ spl0_18
    | ~ spl0_29
    | spl0_38 ),
    inference(sat_conversion,[],[f5062]) ).

cnf(s367,plain,
    ( ~ spl0_3
    | ~ spl0_18
    | ~ spl0_33
    | spl0_38
    | spl0_70 ),
    inference(sat_conversion,[],[f5063]) ).

cnf(s387,plain,
    ( spl0_78
    | spl0_169
    | spl0_170 ),
    inference(sat_conversion,[],[f6131]) ).

cnf(s440,plain,
    ~ spl0_78,
    inference(sat_conversion,[],[f6514]) ).

cnf(s446,plain,
    ( spl0_78
    | spl0_173
    | spl0_174 ),
    inference(sat_conversion,[],[f6541]) ).

cnf(s447,plain,
    ( spl0_78
    | spl0_169
    | spl0_170 ),
    inference(sat_conversion,[],[f6542]) ).

cnf(s448,plain,
    ( spl0_78
    | spl0_171
    | spl0_172 ),
    inference(sat_conversion,[],[f6543]) ).

cnf(s449,plain,
    ( spl0_55
    | spl0_176
    | spl0_177 ),
    inference(sat_conversion,[],[f6565]) ).

cnf(s450,plain,
    ( spl0_55
    | spl0_178
    | spl0_179 ),
    inference(sat_conversion,[],[f6572]) ).

cnf(s451,plain,
    ( spl0_55
    | spl0_180
    | spl0_181 ),
    inference(sat_conversion,[],[f6579]) ).

cnf(s452,plain,
    ( spl0_55
    | spl0_182
    | spl0_183 ),
    inference(sat_conversion,[],[f6586]) ).

cnf(s453,plain,
    ( spl0_55
    | spl0_184
    | spl0_185 ),
    inference(sat_conversion,[],[f6593]) ).

cnf(s473,plain,
    ( ~ spl0_64
    | ~ spl0_129
    | spl0_138
    | ~ spl0_179
    | spl0_187
    | spl0_188 ),
    inference(sat_conversion,[],[f6744]) ).

cnf(s517,plain,
    ~ spl0_138,
    inference(sat_conversion,[],[f7047]) ).

cnf(s525,plain,
    ( ~ spl0_19
    | ~ spl0_82
    | spl0_150 ),
    inference(sat_conversion,[],[f7096]) ).

cnf(s526,plain,
    ( ~ spl0_6
    | ~ spl0_19
    | spl0_28 ),
    inference(sat_conversion,[],[f7098]) ).

cnf(s527,plain,
    ( spl0_22
    | spl0_70 ),
    inference(sat_conversion,[],[f7104]) ).

cnf(s573,plain,
    ( spl0_27
    | spl0_182
    | spl0_183 ),
    inference(sat_conversion,[],[f7840]) ).

cnf(s574,plain,
    ( spl0_27
    | spl0_180
    | spl0_181 ),
    inference(sat_conversion,[],[f7841]) ).

cnf(s577,plain,
    ( spl0_43
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f7858]) ).

cnf(s579,plain,
    ( spl0_27
    | spl0_43
    | spl0_54 ),
    inference(sat_conversion,[],[f7859]) ).

cnf(s581,plain,
    ( ~ spl0_25
    | ~ spl0_38
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f7904]) ).

cnf(s582,plain,
    ( ~ spl0_29
    | ~ spl0_54
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f7910]) ).

cnf(s584,plain,
    ( ~ spl0_32
    | ~ spl0_54
    | ~ spl0_64
    | spl0_70 ),
    inference(sat_conversion,[],[f7915]) ).

cnf(s589,plain,
    ( ~ spl0_24
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f7941]) ).

cnf(s590,plain,
    ( ~ spl0_1
    | spl0_16
    | ~ spl0_22
    | spl0_27
    | spl0_211 ),
    inference(sat_conversion,[],[f7948]) ).

cnf(s591,plain,
    ( spl0_16
    | ~ spl0_20
    | spl0_27
    | spl0_212 ),
    inference(sat_conversion,[],[f7952]) ).

cnf(s593,plain,
    ( ~ spl0_10
    | spl0_16
    | ~ spl0_20
    | ~ spl0_82
    | spl0_150 ),
    inference(sat_conversion,[],[f7957]) ).

cnf(s605,plain,
    ( spl0_130
    | ~ spl0_210 ),
    inference(sat_conversion,[],[f8084]) ).

cnf(s607,plain,
    ( spl0_8
    | spl0_28
    | ~ spl0_211 ),
    inference(sat_conversion,[],[f8103]) ).

cnf(s610,plain,
    ( ~ spl0_8
    | ~ spl0_51
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f8106]) ).

cnf(s612,plain,
    ( ~ spl0_8
    | ~ spl0_65
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f8111]) ).

cnf(s614,plain,
    ( spl0_20
    | spl0_37 ),
    inference(sat_conversion,[],[f8116]) ).

cnf(s615,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_37 ),
    inference(sat_conversion,[],[f8119]) ).

cnf(s618,plain,
    ( ~ spl0_30
    | spl0_44
    | spl0_46
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f8131]) ).

cnf(s619,plain,
    ( ~ spl0_13
    | ~ spl0_56
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f8134]) ).

cnf(s620,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | ~ spl0_22
    | spl0_46
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f8138]) ).

cnf(s628,plain,
    ( spl0_9
    | spl0_16
    | spl0_27
    | spl0_37
    | spl0_120 ),
    inference(sat_conversion,[],[f8153]) ).

cnf(s635,plain,
    ( spl0_16
    | spl0_37
    | spl0_70
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f8168]) ).

cnf(s668,plain,
    ( spl0_22
    | spl0_70 ),
    inference(sat_conversion,[],[f8485]) ).

cnf(s682,plain,
    ~ spl0_136,
    inference(sat_conversion,[],[f8637]) ).

cnf(s687,plain,
    ( ~ spl0_4
    | ~ spl0_64
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f8675]) ).

cnf(s688,plain,
    ( spl0_54
    | ~ spl0_89
    | spl0_200 ),
    inference(sat_conversion,[],[f8676]) ).

cnf(s690,plain,
    ( spl0_86
    | spl0_100 ),
    inference(sat_conversion,[],[f8685]) ).

cnf(s691,plain,
    ( ~ spl0_89
    | spl0_100
    | spl0_220 ),
    inference(sat_conversion,[],[f8689]) ).

cnf(s696,plain,
    ( spl0_5
    | ~ spl0_46
    | spl0_73 ),
    inference(sat_conversion,[],[f8720]) ).

cnf(s698,plain,
    ( ~ spl0_25
    | ~ spl0_141
    | spl0_218 ),
    inference(sat_conversion,[],[f8735]) ).

cnf(s701,plain,
    ( ~ spl0_6
    | ~ spl0_219
    | spl0_224 ),
    inference(sat_conversion,[],[f8828]) ).

cnf(s704,plain,
    ( ~ spl0_64
    | ~ spl0_129
    | ~ spl0_170
    | spl0_226
    | spl0_227
    | spl0_228 ),
    inference(sat_conversion,[],[f8882]) ).

cnf(s707,plain,
    ( ~ spl0_4
    | ~ spl0_64
    | spl0_78
    | ~ spl0_129
    | ~ spl0_170
    | spl0_226
    | spl0_227 ),
    inference(sat_conversion,[],[f8890]) ).

cnf(s709,plain,
    ( ~ spl0_4
    | ~ spl0_64
    | ~ spl0_169
    | spl0_231
    | ~ spl0_232 ),
    inference(sat_conversion,[],[f8938]) ).

cnf(s711,plain,
    ( spl0_226
    | spl0_232 ),
    inference(sat_conversion,[],[f8948]) ).

cnf(s716,plain,
    ( spl0_27
    | spl0_178
    | spl0_179 ),
    inference(sat_conversion,[],[f8978]) ).

cnf(s717,plain,
    ( ~ spl0_188
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f8984]) ).

cnf(s718,plain,
    ( ~ spl0_141
    | ~ spl0_188 ),
    inference(sat_conversion,[],[f8986]) ).

cnf(s722,plain,
    ( ~ spl0_51
    | ~ spl0_70
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f9033]) ).

cnf(s724,plain,
    ( ~ spl0_6
    | ~ spl0_231
    | spl0_235 ),
    inference(sat_conversion,[],[f9056]) ).

cnf(s726,plain,
    ( ~ spl0_228
    | ~ spl0_235 ),
    inference(sat_conversion,[],[f9071]) ).

cnf(s734,plain,
    ( spl0_137
    | spl0_148 ),
    inference(sat_conversion,[],[f9150]) ).

cnf(s740,plain,
    ( spl0_239
    | spl0_246
    | spl0_247 ),
    inference(sat_conversion,[],[f9195]) ).

cnf(s749,plain,
    ( spl0_140
    | spl0_224 ),
    inference(sat_conversion,[],[f9266]) ).

cnf(s750,plain,
    ( spl0_138
    | spl0_140
    | spl0_224 ),
    inference(sat_conversion,[],[f9267]) ).

cnf(s758,plain,
    ( ~ spl0_97
    | ~ spl0_183
    | ~ spl0_226 ),
    inference(sat_conversion,[],[f9323]) ).

cnf(s767,plain,
    ( spl0_141
    | spl0_192 ),
    inference(sat_conversion,[],[f9360]) ).

cnf(s770,plain,
    ( ~ spl0_117
    | ~ spl0_180
    | ~ spl0_187
    | spl0_251 ),
    inference(sat_conversion,[],[f9364]) ).

cnf(s772,plain,
    ( spl0_78
    | spl0_141
    | spl0_192 ),
    inference(sat_conversion,[],[f9365]) ).

cnf(s793,plain,
    ( ~ spl0_97
    | ~ spl0_173
    | ~ spl0_254 ),
    inference(sat_conversion,[],[f9692]) ).

cnf(s794,plain,
    ( ~ spl0_173
    | spl0_253
    | spl0_255 ),
    inference(sat_conversion,[],[f9697]) ).

cnf(s796,plain,
    ( ~ spl0_51
    | ~ spl0_65
    | ~ spl0_186 ),
    inference(sat_conversion,[],[f9720]) ).

cnf(s798,plain,
    ( spl0_65
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f9727]) ).

cnf(s800,plain,
    ( ~ spl0_35
    | ~ spl0_173
    | ~ spl0_258
    | spl0_259 ),
    inference(sat_conversion,[],[f9739]) ).

cnf(s805,plain,
    ( spl0_187
    | spl0_218 ),
    inference(sat_conversion,[],[f9759]) ).

cnf(s808,plain,
    ( spl0_187
    | spl0_218 ),
    inference(sat_conversion,[],[f9770]) ).

cnf(s811,plain,
    ( ~ spl0_117
    | ~ spl0_171
    | ~ spl0_187
    | spl0_262 ),
    inference(sat_conversion,[],[f9773]) ).

cnf(s823,plain,
    ~ spl0_251,
    inference(sat_conversion,[],[f9899]) ).

cnf(s845,plain,
    ~ spl0_227,
    inference(sat_conversion,[],[f10042]) ).

cnf(s857,plain,
    ~ spl0_262,
    inference(sat_conversion,[],[f10190]) ).

cnf(s864,plain,
    ( ~ spl0_44
    | ~ spl0_178
    | spl0_252 ),
    inference(sat_conversion,[],[f10245]) ).

cnf(s865,plain,
    ( ~ spl0_44
    | spl0_78
    | ~ spl0_178
    | spl0_252 ),
    inference(sat_conversion,[],[f10246]) ).

cnf(s868,plain,
    ( spl0_55
    | ~ spl0_106
    | spl0_137
    | ~ spl0_252 ),
    inference(sat_conversion,[],[f10260]) ).

cnf(s869,plain,
    ( ~ spl0_98
    | ~ spl0_187
    | ~ spl0_237 ),
    inference(sat_conversion,[],[f10273]) ).

cnf(s874,plain,
    ( ~ spl0_4
    | ~ spl0_64
    | ~ spl0_178
    | ~ spl0_218
    | spl0_219 ),
    inference(sat_conversion,[],[f10300]) ).

cnf(s905,plain,
    ~ spl0_263,
    inference(sat_conversion,[],[f10569]) ).

cnf(s911,plain,
    ( ~ spl0_10
    | spl0_137
    | ~ spl0_144
    | ~ spl0_181
    | ~ spl0_218 ),
    inference(sat_conversion,[],[f10632]) ).

cnf(s912,plain,
    ( ~ spl0_144
    | ~ spl0_181
    | ~ spl0_219 ),
    inference(sat_conversion,[],[f10634]) ).

cnf(s920,plain,
    ( ~ spl0_89
    | ~ spl0_147
    | spl0_237 ),
    inference(sat_conversion,[],[f10678]) ).

cnf(s922,plain,
    ( ~ spl0_73
    | ~ spl0_224
    | ~ spl0_237 ),
    inference(sat_conversion,[],[f10691]) ).

cnf(s923,plain,
    ( ~ spl0_15
    | ~ spl0_147
    | spl0_224 ),
    inference(sat_conversion,[],[f10693]) ).

cnf(s927,plain,
    ( ~ spl0_35
    | ~ spl0_70
    | spl0_259
    | ~ spl0_277 ),
    inference(sat_conversion,[],[f10713]) ).

cnf(s928,plain,
    ( ~ spl0_64
    | ~ spl0_179
    | ~ spl0_234 ),
    inference(sat_conversion,[],[f10723]) ).

cnf(s930,plain,
    ( ~ spl0_30
    | spl0_143
    | ~ spl0_240 ),
    inference(sat_conversion,[],[f10743]) ).

cnf(s931,plain,
    ( ~ spl0_1
    | spl0_226
    | ~ spl0_240 ),
    inference(sat_conversion,[],[f10744]) ).

cnf(s938,plain,
    ( ~ spl0_7
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_172
    | spl0_284 ),
    inference(sat_conversion,[],[f10809]) ).

cnf(s944,plain,
    ( spl0_139
    | spl0_277 ),
    inference(sat_conversion,[],[f10845]) ).

cnf(s951,plain,
    ( spl0_283
    | spl0_287 ),
    inference(sat_conversion,[],[f10897]) ).

cnf(s957,plain,
    ( spl0_255
    | spl0_275
    | spl0_290 ),
    inference(sat_conversion,[],[f10918]) ).

cnf(s960,plain,
    ( spl0_294
    | spl0_298 ),
    inference(sat_conversion,[],[f10939]) ).

cnf(s972,plain,
    ( spl0_258
    | spl0_262
    | spl0_289 ),
    inference(sat_conversion,[],[f11007]) ).

cnf(s974,plain,
    ( ~ spl0_25
    | ~ spl0_258
    | spl0_290 ),
    inference(sat_conversion,[],[f11015]) ).

cnf(s982,plain,
    ( ~ spl0_140
    | ~ spl0_174
    | spl0_249
    | spl0_298 ),
    inference(sat_conversion,[],[f11085]) ).

cnf(s986,plain,
    ( ~ spl0_174
    | ~ spl0_218
    | spl0_219
    | spl0_254 ),
    inference(sat_conversion,[],[f11096]) ).

cnf(s987,plain,
    ( ~ spl0_7
    | spl0_137
    | ~ spl0_174
    | ~ spl0_283
    | ~ spl0_294 ),
    inference(sat_conversion,[],[f11097]) ).

cnf(s989,plain,
    ( ~ spl0_174
    | spl0_187
    | spl0_277
    | ~ spl0_283
    | ~ spl0_290 ),
    inference(sat_conversion,[],[f11099]) ).

cnf(s990,plain,
    ( spl0_147
    | ~ spl0_174
    | ~ spl0_192
    | spl0_258 ),
    inference(sat_conversion,[],[f11100]) ).

cnf(s995,plain,
    ( ~ spl0_254
    | ~ spl0_255 ),
    inference(sat_conversion,[],[f11118]) ).

cnf(s996,plain,
    ( ~ spl0_173
    | ~ spl0_255 ),
    inference(sat_conversion,[],[f11120]) ).

cnf(s999,plain,
    ( spl0_28
    | ~ spl0_261
    | spl0_293
    | ~ spl0_294 ),
    inference(sat_conversion,[],[f11159]) ).

cnf(s1000,plain,
    ( ~ spl0_30
    | spl0_141
    | ~ spl0_249 ),
    inference(sat_conversion,[],[f11178]) ).

cnf(s1001,plain,
    ( ~ spl0_1
    | spl0_187
    | ~ spl0_249 ),
    inference(sat_conversion,[],[f11179]) ).

cnf(s1003,plain,
    ( ~ spl0_15
    | ~ spl0_73
    | ~ spl0_145
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f11219]) ).

cnf(s1004,plain,
    ( ~ spl0_15
    | ~ spl0_145
    | spl0_235 ),
    inference(sat_conversion,[],[f11220]) ).

cnf(s1005,plain,
    ( ~ spl0_89
    | ~ spl0_145
    | spl0_246 ),
    inference(sat_conversion,[],[f11222]) ).

cnf(s1008,plain,
    ( ~ spl0_46
    | ~ spl0_128
    | ~ spl0_186
    | spl0_187
    | spl0_277 ),
    inference(sat_conversion,[],[f11244]) ).

cnf(s1018,plain,
    ( ~ spl0_43
    | spl0_141
    | ~ spl0_215 ),
    inference(sat_conversion,[],[f11414]) ).

cnf(s1019,plain,
    ( ~ spl0_86
    | spl0_187
    | ~ spl0_215 ),
    inference(sat_conversion,[],[f11415]) ).

cnf(s1020,plain,
    ( ~ spl0_30
    | spl0_258
    | ~ spl0_293 ),
    inference(sat_conversion,[],[f11435]) ).

cnf(s1021,plain,
    ( ~ spl0_1
    | spl0_254
    | ~ spl0_293 ),
    inference(sat_conversion,[],[f11436]) ).

cnf(s1022,plain,
    ( ~ spl0_56
    | ~ spl0_173
    | ~ spl0_186
    | ~ spl0_293 ),
    inference(sat_conversion,[],[f11437]) ).

cnf(s1024,plain,
    ( ~ spl0_177
    | spl0_235
    | spl0_293
    | ~ spl0_294 ),
    inference(sat_conversion,[],[f11494]) ).

cnf(s1029,plain,
    ( ~ spl0_144
    | ~ spl0_177
    | ~ spl0_232
    | spl0_254
    | spl0_287 ),
    inference(sat_conversion,[],[f11514]) ).

cnf(s1033,plain,
    ( ~ spl0_177
    | spl0_226
    | ~ spl0_290
    | spl0_291 ),
    inference(sat_conversion,[],[f11521]) ).

cnf(s1035,plain,
    ( spl0_144
    | spl0_310 ),
    inference(sat_conversion,[],[f11527]) ).

cnf(s1051,plain,
    ( ~ spl0_173
    | ~ spl0_186
    | spl0_314 ),
    inference(sat_conversion,[],[f11614]) ).

cnf(s1055,plain,
    ( ~ spl0_185
    | spl0_231
    | ~ spl0_232
    | spl0_254 ),
    inference(sat_conversion,[],[f11689]) ).

cnf(s1058,plain,
    ( spl0_145
    | ~ spl0_185
    | spl0_258
    | ~ spl0_278 ),
    inference(sat_conversion,[],[f11695]) ).

cnf(s1060,plain,
    ( ~ spl0_180
    | ~ spl0_225
    | ~ spl0_237 ),
    inference(sat_conversion,[],[f11719]) ).

cnf(s1063,plain,
    ( ~ spl0_226
    | ~ spl0_228 ),
    inference(sat_conversion,[],[f11730]) ).

cnf(s1064,plain,
    ( ~ spl0_183
    | ~ spl0_228 ),
    inference(sat_conversion,[],[f11732]) ).

cnf(s1081,plain,
    ~ spl0_247,
    inference(sat_conversion,[],[f11873]) ).

cnf(s1087,plain,
    ( ~ spl0_10
    | spl0_46
    | ~ spl0_86
    | ~ spl0_144
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f11915]) ).

cnf(s1092,plain,
    ( ~ spl0_35
    | ~ spl0_70
    | spl0_257
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f11928]) ).

cnf(s1099,plain,
    ( spl0_143
    | spl0_278 ),
    inference(sat_conversion,[],[f11986]) ).

cnf(s1103,plain,
    ( spl0_143
    | spl0_278 ),
    inference(sat_conversion,[],[f11993]) ).

cnf(s1107,plain,
    ( spl0_143
    | spl0_251
    | spl0_278 ),
    inference(sat_conversion,[],[f11996]) ).

cnf(s1115,plain,
    ( ~ spl0_139
    | ~ spl0_182
    | ~ spl0_231 ),
    inference(sat_conversion,[],[f12131]) ).

cnf(s1118,plain,
    ( ~ spl0_182
    | ~ spl0_218
    | spl0_219
    | spl0_226 ),
    inference(sat_conversion,[],[f12139]) ).

cnf(s1119,plain,
    ( ~ spl0_25
    | ~ spl0_143
    | ~ spl0_226 ),
    inference(sat_conversion,[],[f12140]) ).

cnf(s1121,plain,
    ( ~ spl0_182
    | ~ spl0_218
    | spl0_219
    | spl0_226 ),
    inference(sat_conversion,[],[f12143]) ).

cnf(s1128,plain,
    ( ~ spl0_184
    | ~ spl0_236
    | ~ spl0_298 ),
    inference(sat_conversion,[],[f12215]) ).

cnf(s1130,plain,
    ( ~ spl0_64
    | ~ spl0_170
    | ~ spl0_236 ),
    inference(sat_conversion,[],[f12218]) ).

cnf(s1131,plain,
    ( ~ spl0_1
    | spl0_64
    | spl0_78
    | spl0_323 ),
    inference(sat_conversion,[],[f12224]) ).

cnf(s1132,plain,
    ( spl0_64
    | ~ spl0_89
    | spl0_324 ),
    inference(sat_conversion,[],[f12228]) ).

cnf(s1133,plain,
    ( spl0_13
    | ~ spl0_15
    | ~ spl0_43
    | spl0_64 ),
    inference(sat_conversion,[],[f12229]) ).

cnf(s1136,plain,
    ( ~ spl0_9
    | ~ spl0_242
    | ~ spl0_271 ),
    inference(sat_conversion,[],[f12232]) ).

cnf(s1141,plain,
    ( ~ spl0_1
    | spl0_46
    | ~ spl0_50
    | spl0_78
    | spl0_326 ),
    inference(sat_conversion,[],[f12243]) ).

cnf(s1144,plain,
    ( ~ spl0_50
    | ~ spl0_183
    | ~ spl0_186
    | ~ spl0_231 ),
    inference(sat_conversion,[],[f12248]) ).

cnf(s1145,plain,
    ( ~ spl0_7
    | spl0_16
    | ~ spl0_43
    | ~ spl0_50
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f12249]) ).

cnf(s1148,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | spl0_37
    | spl0_327 ),
    inference(sat_conversion,[],[f12255]) ).

cnf(s1157,plain,
    ( ~ spl0_37
    | spl0_261
    | ~ spl0_275 ),
    inference(sat_conversion,[],[f12271]) ).

cnf(s1159,plain,
    ( ~ spl0_25
    | ~ spl0_141
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f12273]) ).

cnf(s1160,plain,
    ( ~ spl0_181
    | spl0_187
    | spl0_231
    | ~ spl0_232 ),
    inference(sat_conversion,[],[f12274]) ).

cnf(s1161,plain,
    ( spl0_1
    | spl0_9 ),
    inference(sat_conversion,[],[f12280]) ).

cnf(s1168,plain,
    ( ~ spl0_4
    | ~ spl0_226
    | ~ spl0_235 ),
    inference(sat_conversion,[],[f12347]) ).

cnf(s1169,plain,
    ( ~ spl0_54
    | ~ spl0_179
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f12348]) ).

cnf(s1172,plain,
    ( ~ spl0_143
    | ~ spl0_183
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f12351]) ).

cnf(s1173,plain,
    ( ~ spl0_6
    | spl0_64
    | spl0_78
    | ~ spl0_86
    | spl0_210 ),
    inference(sat_conversion,[],[f12353]) ).

cnf(s1176,plain,
    ( ~ spl0_73
    | ~ spl0_142
    | ~ spl0_181
    | ~ spl0_237
    | spl0_240 ),
    inference(sat_conversion,[],[f12356]) ).

cnf(s1177,plain,
    ( ~ spl0_26
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f12361]) ).

cnf(s1179,plain,
    ( ~ spl0_20
    | ~ spl0_22
    | spl0_51
    | ~ spl0_89
    | spl0_100 ),
    inference(sat_conversion,[],[f12364]) ).

cnf(s1181,plain,
    ( spl0_70
    | spl0_85
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f12366]) ).

cnf(s1182,plain,
    ( ~ spl0_22
    | spl0_54
    | spl0_55
    | ~ spl0_86
    | spl0_211 ),
    inference(sat_conversion,[],[f12367]) ).

cnf(s1188,plain,
    ( spl0_237
    | spl0_250
    | spl0_331 ),
    inference(sat_conversion,[],[f12381]) ).

cnf(s1191,plain,
    ( spl0_55
    | spl0_237
    | spl0_250 ),
    inference(sat_conversion,[],[f12384]) ).

cnf(s1201,plain,
    ( ~ spl0_51
    | ~ spl0_186
    | ~ spl0_277 ),
    inference(sat_conversion,[],[f12440]) ).

cnf(s1210,plain,
    ( spl0_28
    | ~ spl0_140
    | spl0_249
    | ~ spl0_259 ),
    inference(sat_conversion,[],[f12506]) ).

cnf(s1214,plain,
    ( ~ spl0_16
    | ~ spl0_137
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f12530]) ).

cnf(s1216,plain,
    ( ~ spl0_9
    | ~ spl0_46
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f12532]) ).

cnf(s1218,plain,
    ( ~ spl0_5
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f12541]) ).

cnf(s1222,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f12558]) ).

cnf(s1223,plain,
    ( ~ spl0_54
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f12562]) ).

cnf(s1227,plain,
    ( spl0_64
    | spl0_78
    | spl0_81 ),
    inference(sat_conversion,[],[f12576]) ).

cnf(s1237,plain,
    ( ~ spl0_4
    | ~ spl0_187
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f12641]) ).

cnf(s1239,plain,
    ( ~ spl0_187
    | ~ spl0_188 ),
    inference(sat_conversion,[],[f12646]) ).

cnf(s1240,plain,
    ( ~ spl0_171
    | ~ spl0_188 ),
    inference(sat_conversion,[],[f12650]) ).

cnf(s1241,plain,
    ( ~ spl0_58
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f12658]) ).

cnf(s1247,plain,
    ( ~ spl0_19
    | ~ spl0_50
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f12717]) ).

cnf(s1262,plain,
    ( spl0_263
    | spl0_284
    | spl0_304 ),
    inference(sat_conversion,[],[f12804]) ).

cnf(s1264,plain,
    ( ~ spl0_4
    | ~ spl0_254
    | ~ spl0_298 ),
    inference(sat_conversion,[],[f12812]) ).

cnf(s1266,plain,
    ( spl0_51
    | ~ spl0_89
    | ~ spl0_211 ),
    inference(sat_conversion,[],[f12829]) ).

cnf(s1277,plain,
    ( ~ spl0_73
    | ~ spl0_298
    | ~ spl0_305 ),
    inference(sat_conversion,[],[f12928]) ).

cnf(s1278,plain,
    ( ~ spl0_50
    | ~ spl0_291
    | spl0_305 ),
    inference(sat_conversion,[],[f12945]) ).

cnf(s1281,plain,
    ( ~ spl0_183
    | ~ spl0_186
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f12991]) ).

cnf(s1287,plain,
    ( ~ spl0_184
    | spl0_255
    | spl0_319 ),
    inference(sat_conversion,[],[f13023]) ).

cnf(s1289,plain,
    ( ~ spl0_86
    | spl0_226
    | ~ spl0_238 ),
    inference(sat_conversion,[],[f13058]) ).

cnf(s1290,plain,
    ( ~ spl0_43
    | spl0_143
    | ~ spl0_238 ),
    inference(sat_conversion,[],[f13060]) ).

cnf(s1291,plain,
    ( ~ spl0_89
    | ~ spl0_173
    | ~ spl0_186
    | ~ spl0_288 ),
    inference(sat_conversion,[],[f13079]) ).

cnf(s1292,plain,
    ( ~ spl0_218
    | spl0_226
    | ~ spl0_241 ),
    inference(sat_conversion,[],[f13140]) ).

cnf(s1294,plain,
    ( spl0_143
    | ~ spl0_192
    | ~ spl0_241 ),
    inference(sat_conversion,[],[f13142]) ).

cnf(s1296,plain,
    ( ~ spl0_173
    | ~ spl0_184
    | ~ spl0_248 ),
    inference(sat_conversion,[],[f13155]) ).

cnf(s1297,plain,
    ( ~ spl0_170
    | ~ spl0_179
    | ~ spl0_248 ),
    inference(sat_conversion,[],[f13157]) ).

cnf(s1298,plain,
    ( ~ spl0_248
    | ~ spl0_252
    | spl0_257 ),
    inference(sat_conversion,[],[f13159]) ).

cnf(s1299,plain,
    ( ~ spl0_35
    | ~ spl0_143
    | ~ spl0_183
    | spl0_259 ),
    inference(sat_conversion,[],[f13160]) ).

cnf(s1301,plain,
    ( ~ spl0_143
    | ~ spl0_176
    | ~ spl0_301 ),
    inference(sat_conversion,[],[f13163]) ).

cnf(s1302,plain,
    ( ~ spl0_35
    | ~ spl0_143
    | ~ spl0_176
    | spl0_261 ),
    inference(sat_conversion,[],[f13164]) ).

cnf(s1303,plain,
    ( ~ spl0_43
    | ~ spl0_50
    | ~ spl0_81
    | ~ spl0_330 ),
    inference(sat_conversion,[],[f13165]) ).

cnf(s1320,plain,
    ( ~ spl0_137
    | ~ spl0_242
    | ~ spl0_248 ),
    inference(sat_conversion,[],[f13236]) ).

cnf(s1321,plain,
    ( ~ spl0_46
    | ~ spl0_225
    | ~ spl0_242 ),
    inference(sat_conversion,[],[f13238]) ).

cnf(s1325,plain,
    ( ~ spl0_8
    | ~ spl0_29
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f13282]) ).

cnf(s1328,plain,
    ( ~ spl0_87
    | ~ spl0_139
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f13324]) ).

cnf(s1330,plain,
    ( ~ spl0_25
    | ~ spl0_54
    | ~ spl0_178
    | ~ spl0_218
    | spl0_219 ),
    inference(sat_conversion,[],[f13328]) ).

cnf(s1331,plain,
    ( ~ spl0_79
    | ~ spl0_148
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f13353]) ).

cnf(s1332,plain,
    ( ~ spl0_50
    | ~ spl0_180
    | ~ spl0_219
    | ~ spl0_225 ),
    inference(sat_conversion,[],[f13377]) ).

cnf(s1333,plain,
    ( ~ spl0_50
    | ~ spl0_219
    | spl0_237 ),
    inference(sat_conversion,[],[f13378]) ).

cnf(s1336,plain,
    ( ~ spl0_6
    | ~ spl0_30
    | spl0_46
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f13382]) ).

cnf(s1337,plain,
    ( ~ spl0_30
    | spl0_54
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f13383]) ).

cnf(s1340,plain,
    ( spl0_8
    | spl0_64
    | ~ spl0_326 ),
    inference(sat_conversion,[],[f13389]) ).

cnf(s1342,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f13399]) ).

cnf(s1343,plain,
    ( spl0_5
    | ~ spl0_16
    | spl0_29 ),
    inference(sat_conversion,[],[f13400]) ).

cnf(s1352,plain,
    ( spl0_27
    | spl0_89
    | spl0_110 ),
    inference(sat_conversion,[],[f13436]) ).

cnf(s1353,plain,
    ( spl0_24
    | ~ spl0_110
    | spl0_114 ),
    inference(sat_conversion,[],[f13441]) ).

cnf(s1362,plain,
    ( ~ spl0_70
    | ~ spl0_287
    | ~ spl0_301 ),
    inference(sat_conversion,[],[f13488]) ).

cnf(s1370,plain,
    ( ~ spl0_25
    | ~ spl0_54
    | ~ spl0_169
    | spl0_231
    | ~ spl0_232 ),
    inference(sat_conversion,[],[f13577]) ).

cnf(s1376,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | spl0_46
    | ~ spl0_220 ),
    inference(sat_conversion,[],[f13589]) ).

cnf(s1377,plain,
    ( ~ spl0_5
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f13598]) ).

cnf(s1379,plain,
    ( ~ spl0_5
    | ~ spl0_284 ),
    inference(sat_conversion,[],[f13605]) ).

cnf(s1380,plain,
    ( ~ spl0_35
    | ~ spl0_141
    | ~ spl0_180
    | spl0_257 ),
    inference(sat_conversion,[],[f13606]) ).

cnf(s1381,plain,
    ( ~ spl0_22
    | spl0_141
    | ~ spl0_219 ),
    inference(sat_conversion,[],[f13607]) ).

cnf(s1382,plain,
    ( ~ spl0_35
    | ~ spl0_141
    | ~ spl0_171
    | spl0_261 ),
    inference(sat_conversion,[],[f13608]) ).

cnf(s1383,plain,
    ( ~ spl0_141
    | ~ spl0_171
    | ~ spl0_301 ),
    inference(sat_conversion,[],[f13609]) ).

cnf(s1384,plain,
    ( ~ spl0_141
    | ~ spl0_180
    | ~ spl0_321 ),
    inference(sat_conversion,[],[f13610]) ).

cnf(s1399,plain,
    ( ~ spl0_70
    | ~ spl0_310
    | ~ spl0_321 ),
    inference(sat_conversion,[],[f13690]) ).

cnf(s1400,plain,
    ( ~ spl0_248
    | ~ spl0_277
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f13692]) ).

cnf(s1412,plain,
    ( ~ spl0_13
    | ~ spl0_148
    | ~ spl0_259 ),
    inference(sat_conversion,[],[f13757]) ).

cnf(s1418,plain,
    ( ~ spl0_25
    | ~ spl0_54
    | ~ spl0_169
    | spl0_231
    | ~ spl0_232 ),
    inference(sat_conversion,[],[f13847]) ).

cnf(s1419,plain,
    ( ~ spl0_102
    | ~ spl0_258 ),
    inference(sat_conversion,[],[f13849]) ).

cnf(s1422,plain,
    ( ~ spl0_50
    | ~ spl0_231
    | spl0_246 ),
    inference(sat_conversion,[],[f13898]) ).

cnf(s1424,plain,
    ( ~ spl0_8
    | ~ spl0_234
    | ~ spl0_277 ),
    inference(sat_conversion,[],[f13915]) ).

cnf(s1425,plain,
    ( ~ spl0_25
    | ~ spl0_54
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f13917]) ).

cnf(s1427,plain,
    ( ~ spl0_35
    | spl0_89
    | ~ spl0_141
    | ~ spl0_237 ),
    inference(sat_conversion,[],[f13920]) ).

cnf(s1430,plain,
    ( spl0_28
    | ~ spl0_140
    | spl0_249
    | ~ spl0_259 ),
    inference(sat_conversion,[],[f13927]) ).

cnf(s1431,plain,
    ( ~ spl0_22
    | spl0_143
    | ~ spl0_231 ),
    inference(sat_conversion,[],[f13928]) ).

cnf(s1432,plain,
    ( ~ spl0_114
    | ~ spl0_143
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f13929]) ).

cnf(s1433,plain,
    ( ~ spl0_114
    | ~ spl0_141
    | ~ spl0_237 ),
    inference(sat_conversion,[],[f13930]) ).

cnf(s1434,plain,
    ( ~ spl0_35
    | spl0_89
    | ~ spl0_143
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f13931]) ).

cnf(s1435,plain,
    ( ~ spl0_50
    | ~ spl0_86
    | ~ spl0_169
    | spl0_226
    | spl0_310 ),
    inference(sat_conversion,[],[f13932]) ).

cnf(s1444,plain,
    ( spl0_15
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f13953]) ).

cnf(s1447,plain,
    ( ~ spl0_20
    | ~ spl0_50
    | spl0_55
    | spl0_110
    | spl0_326 ),
    inference(sat_conversion,[],[f13964]) ).

cnf(s1450,plain,
    ( ~ spl0_4
    | ~ spl0_28
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f13970]) ).

cnf(s1451,plain,
    ( ~ spl0_20
    | ~ spl0_22
    | spl0_226
    | ~ spl0_257
    | spl0_310 ),
    inference(sat_conversion,[],[f13971]) ).

cnf(s1455,plain,
    ( ~ spl0_58
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f13990]) ).

cnf(s1465,plain,
    ( spl0_16
    | ~ spl0_43
    | spl0_44
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f14054]) ).

cnf(s1476,plain,
    ( spl0_254
    | spl0_290 ),
    inference(sat_conversion,[],[f14106]) ).

cnf(s1481,plain,
    ( spl0_252
    | spl0_259 ),
    inference(sat_conversion,[],[f14123]) ).

cnf(s1482,plain,
    ( ~ spl0_102
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f14125]) ).

cnf(s1493,plain,
    ( ~ spl0_19
    | ~ spl0_139
    | ~ spl0_259 ),
    inference(sat_conversion,[],[f14186]) ).

cnf(s1495,plain,
    ( ~ spl0_38
    | spl0_226 ),
    inference(sat_conversion,[],[f14192]) ).

cnf(s1499,plain,
    ( ~ spl0_211
    | ~ spl0_259
    | spl0_277 ),
    inference(sat_conversion,[],[f14239]) ).

cnf(s1500,plain,
    ( ~ spl0_9
    | ~ spl0_137
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f14249]) ).

cnf(s1501,plain,
    ( ~ spl0_100
    | ~ spl0_179
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f14251]) ).

cnf(s1504,plain,
    ( spl0_37
    | ~ spl0_43
    | ~ spl0_50
    | spl0_70
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f14256]) ).

cnf(s1505,plain,
    ( ~ spl0_102
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f14258]) ).

cnf(s1521,plain,
    ( ~ spl0_13
    | ~ spl0_146
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f14377]) ).

cnf(s1529,plain,
    ( ~ spl0_98
    | ~ spl0_226
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f14415]) ).

cnf(s1534,plain,
    ( ~ spl0_35
    | ~ spl0_54
    | ~ spl0_170
    | spl0_257 ),
    inference(sat_conversion,[],[f14466]) ).

cnf(s1535,plain,
    ( ~ spl0_20
    | ~ spl0_44
    | spl0_100 ),
    inference(sat_conversion,[],[f14467]) ).

cnf(s1536,plain,
    ( ~ spl0_35
    | ~ spl0_54
    | ~ spl0_179
    | spl0_259 ),
    inference(sat_conversion,[],[f14468]) ).

cnf(s1566,plain,
    ( ~ spl0_2
    | spl0_130 ),
    inference(sat_conversion,[],[f14696]) ).

cnf(s1573,plain,
    ( ~ spl0_102
    | spl0_147
    | ~ spl0_182
    | ~ spl0_192 ),
    inference(sat_conversion,[],[f14767]) ).

cnf(s1578,plain,
    ( ~ spl0_73
    | ~ spl0_235
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f14773]) ).

cnf(s1579,plain,
    ( ~ spl0_73
    | ~ spl0_140
    | ~ spl0_182
    | ~ spl0_246
    | spl0_249 ),
    inference(sat_conversion,[],[f14774]) ).

cnf(s1580,plain,
    ( ~ spl0_30
    | spl0_137
    | spl0_147
    | ~ spl0_259 ),
    inference(sat_conversion,[],[f14775]) ).

cnf(s1599,plain,
    ( ~ spl0_44
    | ~ spl0_169
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f14879]) ).

cnf(s1602,plain,
    ( spl0_255
    | ~ spl0_258
    | spl0_301 ),
    inference(sat_conversion,[],[f14912]) ).

cnf(s1603,plain,
    ( ~ spl0_25
    | ~ spl0_254
    | ~ spl0_258 ),
    inference(sat_conversion,[],[f14913]) ).

cnf(s1605,plain,
    ( ~ spl0_180
    | ~ spl0_187
    | ~ spl0_271 ),
    inference(sat_conversion,[],[f14926]) ).

cnf(s1611,plain,
    ( ~ spl0_176
    | ~ spl0_226
    | ~ spl0_275 ),
    inference(sat_conversion,[],[f15011]) ).

cnf(s1614,plain,
    ( ~ spl0_177
    | spl0_246
    | ~ spl0_314
    | spl0_315 ),
    inference(sat_conversion,[],[f15051]) ).

cnf(s1620,plain,
    ( ~ spl0_173
    | ~ spl0_185
    | ~ spl0_186
    | spl0_238
    | ~ spl0_239 ),
    inference(sat_conversion,[],[f15086]) ).

cnf(s1624,plain,
    ( ~ spl0_177
    | ~ spl0_238
    | spl0_346 ),
    inference(sat_conversion,[],[f15130]) ).

cnf(s1627,plain,
    ( ~ spl0_176
    | spl0_228
    | spl0_319 ),
    inference(sat_conversion,[],[f15162]) ).

cnf(s1629,plain,
    ( ~ spl0_33
    | ~ spl0_176
    | ~ spl0_235
    | spl0_287 ),
    inference(sat_conversion,[],[f15189]) ).

cnf(s1631,plain,
    ( ~ spl0_169
    | ~ spl0_185
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f15254]) ).

cnf(s1632,plain,
    ( ~ spl0_29
    | ~ spl0_81
    | ~ spl0_258
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f15255]) ).

cnf(s1633,plain,
    ( ~ spl0_86
    | spl0_254
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f15256]) ).

cnf(s1637,plain,
    ( ~ spl0_144
    | ~ spl0_182
    | ~ spl0_278
    | ~ spl0_343 ),
    inference(sat_conversion,[],[f15328]) ).

cnf(s1638,plain,
    ( ~ spl0_6
    | ~ spl0_30
    | ~ spl0_242
    | ~ spl0_248
    | ~ spl0_343 ),
    inference(sat_conversion,[],[f15329]) ).

cnf(s1639,plain,
    ( ~ spl0_109
    | ~ spl0_173
    | spl0_261 ),
    inference(sat_conversion,[],[f15348]) ).

cnf(s1645,plain,
    ( ~ spl0_144
    | ~ spl0_182
    | ~ spl0_239
    | ~ spl0_338 ),
    inference(sat_conversion,[],[f15465]) ).

cnf(s1646,plain,
    ( ~ spl0_6
    | ~ spl0_56
    | ~ spl0_242
    | ~ spl0_248
    | ~ spl0_338 ),
    inference(sat_conversion,[],[f15467]) ).

cnf(s1647,plain,
    ( ~ spl0_173
    | ~ spl0_186
    | ~ spl0_239
    | ~ spl0_317 ),
    inference(sat_conversion,[],[f15522]) ).

cnf(s1648,plain,
    ( spl0_261
    | ~ spl0_319
    | ~ spl0_349 ),
    inference(sat_conversion,[],[f15534]) ).

cnf(s1649,plain,
    ( ~ spl0_171
    | ~ spl0_180
    | ~ spl0_319 ),
    inference(sat_conversion,[],[f15536]) ).

cnf(s1650,plain,
    ( ~ spl0_185
    | spl0_242
    | ~ spl0_304
    | spl0_317 ),
    inference(sat_conversion,[],[f15537]) ).

cnf(s1651,plain,
    ( ~ spl0_6
    | ~ spl0_30
    | spl0_242
    | ~ spl0_344 ),
    inference(sat_conversion,[],[f15538]) ).

cnf(s1652,plain,
    ( ~ spl0_185
    | spl0_238
    | ~ spl0_239
    | spl0_305 ),
    inference(sat_conversion,[],[f15539]) ).

cnf(s1653,plain,
    ( ~ spl0_176
    | ~ spl0_183
    | ~ spl0_253 ),
    inference(sat_conversion,[],[f15542]) ).

cnf(s1654,plain,
    ( ~ spl0_29
    | ~ spl0_142
    | ~ spl0_185
    | spl0_240
    | ~ spl0_258 ),
    inference(sat_conversion,[],[f15543]) ).

cnf(s1685,plain,
    ~ spl0_331,
    inference(sat_conversion,[],[f15769]) ).

cnf(s1697,plain,
    ( ~ spl0_183
    | ~ spl0_226
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f15838]) ).

cnf(s1699,plain,
    ( ~ spl0_114
    | ~ spl0_258
    | ~ spl0_305 ),
    inference(sat_conversion,[],[f15852]) ).

cnf(s1705,plain,
    ( spl0_138
    | spl0_305
    | spl0_314 ),
    inference(sat_conversion,[],[f15896]) ).

cnf(s1723,plain,
    ( ~ spl0_173
    | ~ spl0_234
    | ~ spl0_298 ),
    inference(sat_conversion,[],[f15983]) ).

cnf(s1728,plain,
    ( ~ spl0_173
    | ~ spl0_254
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f15988]) ).

cnf(s1733,plain,
    ( ~ spl0_28
    | ~ spl0_73
    | spl0_89 ),
    inference(sat_conversion,[],[f15993]) ).

cnf(s1743,plain,
    ( ~ spl0_210
    | ~ spl0_242
    | spl0_287
    | ~ spl0_319 ),
    inference(sat_conversion,[],[f16085]) ).

cnf(s1757,plain,
    ( ~ spl0_147
    | ~ spl0_181
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f16223]) ).

cnf(s1760,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_15
    | spl0_37 ),
    inference(sat_conversion,[],[f16227]) ).

cnf(s1762,plain,
    ( ~ spl0_6
    | ~ spl0_20
    | spl0_51
    | ~ spl0_324 ),
    inference(sat_conversion,[],[f16229]) ).

cnf(s1763,plain,
    ( ~ spl0_37
    | spl0_257
    | ~ spl0_271 ),
    inference(sat_conversion,[],[f16230]) ).

cnf(s1764,plain,
    ( spl0_257
    | spl0_349 ),
    inference(sat_conversion,[],[f16231]) ).

cnf(s1765,plain,
    ( ~ spl0_37
    | spl0_259
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f16233]) ).

cnf(s1768,plain,
    ( spl0_8
    | spl0_70
    | ~ spl0_327 ),
    inference(sat_conversion,[],[f16238]) ).

cnf(s1769,plain,
    ( ~ spl0_20
    | ~ spl0_22
    | spl0_51
    | ~ spl0_200 ),
    inference(sat_conversion,[],[f16239]) ).

cnf(s1771,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_15
    | ~ spl0_20
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f16241]) ).

cnf(s1772,plain,
    ( ~ spl0_15
    | ~ spl0_30
    | spl0_46
    | ~ spl0_200 ),
    inference(sat_conversion,[],[f16242]) ).

cnf(s1774,plain,
    ( ~ spl0_24
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f16256]) ).

cnf(s1775,plain,
    ( ~ spl0_24
    | spl0_82 ),
    inference(sat_conversion,[],[f16260]) ).

cnf(s1776,plain,
    ( ~ spl0_15
    | spl0_37
    | spl0_54
    | ~ spl0_323 ),
    inference(sat_conversion,[],[f16262]) ).

cnf(s1784,plain,
    ( spl0_26
    | ~ spl0_51
    | spl0_98 ),
    inference(sat_conversion,[],[f16300]) ).

cnf(s1785,plain,
    ( spl0_5
    | ~ spl0_46
    | spl0_73 ),
    inference(sat_conversion,[],[f16303]) ).

cnf(s1805,plain,
    ( ~ spl0_29
    | ~ spl0_141
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f16477]) ).

cnf(s1806,plain,
    ( ~ spl0_43
    | ~ spl0_56
    | spl0_100
    | ~ spl0_212 ),
    inference(sat_conversion,[],[f16478]) ).

cnf(s1808,plain,
    ( spl0_58
    | spl0_98
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f16482]) ).

cnf(s1810,plain,
    ( spl0_51
    | ~ spl0_178
    | spl0_338 ),
    inference(sat_conversion,[],[f16526]) ).

cnf(s1819,plain,
    ( ~ spl0_100
    | ~ spl0_170
    | ~ spl0_271 ),
    inference(sat_conversion,[],[f16582]) ).

cnf(s1822,plain,
    ( spl0_37
    | spl0_231
    | ~ spl0_232
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f16585]) ).

cnf(s1823,plain,
    ( ~ spl0_37
    | spl0_89
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f16586]) ).

cnf(s1824,plain,
    ( ~ spl0_28
    | ~ spl0_234
    | spl0_259 ),
    inference(sat_conversion,[],[f16588]) ).

cnf(s1825,plain,
    ( ~ spl0_287
    | ~ spl0_310
    | ~ spl0_319 ),
    inference(sat_conversion,[],[f16591]) ).

cnf(s1826,plain,
    ( ~ spl0_6
    | ~ spl0_20
    | spl0_27
    | spl0_28
    | spl0_210 ),
    inference(sat_conversion,[],[f16592]) ).

cnf(s1828,plain,
    ( spl0_100
    | ~ spl0_178
    | ~ spl0_218
    | spl0_219 ),
    inference(sat_conversion,[],[f16594]) ).

cnf(s1829,plain,
    ( spl0_70
    | ~ spl0_257
    | spl0_344 ),
    inference(sat_conversion,[],[f16595]) ).

cnf(s1833,plain,
    ( ~ spl0_30
    | spl0_145
    | spl0_242
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f16599]) ).

cnf(s1834,plain,
    ( ~ spl0_50
    | ~ spl0_86
    | ~ spl0_178
    | spl0_187
    | spl0_277 ),
    inference(sat_conversion,[],[f16600]) ).

cnf(s1839,plain,
    ( spl0_5
    | spl0_33
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f16628]) ).

cnf(s1840,plain,
    ( ~ spl0_130
    | spl0_242
    | spl0_310 ),
    inference(sat_conversion,[],[f16630]) ).

cnf(s1841,plain,
    ( ~ spl0_9
    | spl0_51
    | ~ spl0_98
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f16633]) ).

cnf(s1842,plain,
    ( ~ spl0_9
    | ~ spl0_25
    | spl0_70
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f16634]) ).

cnf(s1866,plain,
    ( ~ spl0_255
    | ~ spl0_298 ),
    inference(sat_conversion,[],[f16750]) ).

cnf(s1888,plain,
    ( ~ spl0_22
    | spl0_54
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f16917]) ).

cnf(s1895,plain,
    ( ~ spl0_79
    | ~ spl0_146
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f17059]) ).

cnf(s1899,plain,
    ( ~ spl0_29
    | ~ spl0_143
    | ~ spl0_235 ),
    inference(sat_conversion,[],[f17065]) ).

cnf(s1900,plain,
    ( ~ spl0_56
    | ~ spl0_169
    | spl0_238
    | spl0_242 ),
    inference(sat_conversion,[],[f17066]) ).

cnf(s1904,plain,
    ( spl0_4
    | ~ spl0_8
    | spl0_26 ),
    inference(sat_conversion,[],[f17077]) ).

cnf(s1905,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f17080]) ).

cnf(s1920,plain,
    ( ~ spl0_56
    | spl0_237
    | ~ spl0_249 ),
    inference(sat_conversion,[],[f17210]) ).

cnf(s1921,plain,
    ( spl0_28
    | spl0_79
    | ~ spl0_81
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f17211]) ).

cnf(s1922,plain,
    ( spl0_28
    | ~ spl0_142
    | spl0_240
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f17212]) ).

cnf(s1923,plain,
    ( ~ spl0_24
    | ~ spl0_252 ),
    inference(sat_conversion,[],[f17221]) ).

cnf(s1927,plain,
    ( spl0_26
    | ~ spl0_65
    | spl0_97 ),
    inference(sat_conversion,[],[f17245]) ).

cnf(s1929,plain,
    ( ~ spl0_15
    | spl0_70
    | spl0_330 ),
    inference(sat_conversion,[],[f17271]) ).

cnf(s1936,plain,
    ( ~ spl0_188
    | ~ spl0_237 ),
    inference(sat_conversion,[],[f17350]) ).

cnf(s1942,plain,
    ( ~ spl0_19
    | ~ spl0_261
    | ~ spl0_283 ),
    inference(sat_conversion,[],[f17422]) ).

cnf(s1944,plain,
    ( ~ spl0_20
    | ~ spl0_22
    | spl0_254
    | ~ spl0_261
    | spl0_287 ),
    inference(sat_conversion,[],[f17426]) ).

cnf(s1952,plain,
    ( ~ spl0_182
    | spl0_215
    | spl0_246
    | ~ spl0_250 ),
    inference(sat_conversion,[],[f17498]) ).

cnf(s1960,plain,
    ( ~ spl0_19
    | ~ spl0_144
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f17535]) ).

cnf(s1970,plain,
    ( ~ spl0_146
    | ~ spl0_181
    | ~ spl0_249 ),
    inference(sat_conversion,[],[f17635]) ).

cnf(s1975,plain,
    ( ~ spl0_140
    | ~ spl0_182
    | spl0_235
    | spl0_249 ),
    inference(sat_conversion,[],[f17642]) ).

cnf(s1976,plain,
    ( spl0_137
    | ~ spl0_146
    | ~ spl0_182
    | spl0_241 ),
    inference(sat_conversion,[],[f17643]) ).

cnf(s1977,plain,
    ( ~ spl0_181
    | spl0_237
    | spl0_238
    | ~ spl0_239 ),
    inference(sat_conversion,[],[f17644]) ).

cnf(s1978,plain,
    ( ~ spl0_142
    | ~ spl0_181
    | spl0_224
    | spl0_240 ),
    inference(sat_conversion,[],[f17645]) ).

cnf(s1980,plain,
    ( ~ spl0_38
    | spl0_187 ),
    inference(sat_conversion,[],[f17655]) ).

cnf(s2000,plain,
    ( ~ spl0_54
    | spl0_58
    | spl0_114 ),
    inference(sat_conversion,[],[f17743]) ).

cnf(s2002,plain,
    ( ~ spl0_119
    | spl0_136
    | ~ spl0_137
    | spl0_277 ),
    inference(sat_conversion,[],[f17756]) ).

cnf(s2006,plain,
    ( ~ spl0_255
    | ~ spl0_258 ),
    inference(sat_conversion,[],[f17822]) ).

cnf(s2007,plain,
    ( ~ spl0_181
    | spl0_187
    | spl0_231
    | ~ spl0_232 ),
    inference(sat_conversion,[],[f17823]) ).

cnf(s2009,plain,
    ( spl0_141
    | spl0_145
    | ~ spl0_181
    | ~ spl0_278 ),
    inference(sat_conversion,[],[f17825]) ).

cnf(s2013,plain,
    ( spl0_5
    | ~ spl0_16
    | spl0_29 ),
    inference(sat_conversion,[],[f17842]) ).

cnf(s2014,plain,
    ( spl0_24
    | ~ spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f17847]) ).

cnf(s2015,plain,
    ( spl0_26
    | spl0_264
    | ~ spl0_277 ),
    inference(sat_conversion,[],[f17856]) ).

cnf(s2026,plain,
    ( spl0_263
    | spl0_294
    | spl0_298 ),
    inference(sat_conversion,[],[f17930]) ).

cnf(s2035,plain,
    ( ~ spl0_98
    | ~ spl0_254
    | ~ spl0_305 ),
    inference(sat_conversion,[],[f17995]) ).

cnf(s2039,plain,
    ( spl0_37
    | ~ spl0_261
    | ~ spl0_290
    | spl0_291 ),
    inference(sat_conversion,[],[f18042]) ).

cnf(s2044,plain,
    ( ~ spl0_56
    | ~ spl0_240
    | spl0_246 ),
    inference(sat_conversion,[],[f18095]) ).

cnf(s2045,plain,
    ( ~ spl0_20
    | ~ spl0_147
    | spl0_187 ),
    inference(sat_conversion,[],[f18096]) ).

cnf(s2052,plain,
    ( ~ spl0_6
    | ~ spl0_291
    | spl0_298 ),
    inference(sat_conversion,[],[f18199]) ).

cnf(s2053,plain,
    ( ~ spl0_22
    | spl0_258
    | ~ spl0_291 ),
    inference(sat_conversion,[],[f18201]) ).

cnf(s2055,plain,
    ( ~ spl0_28
    | ~ spl0_147
    | ~ spl0_181
    | ~ spl0_236 ),
    inference(sat_conversion,[],[f18216]) ).

cnf(s2057,plain,
    ( ~ spl0_7
    | spl0_137
    | ~ spl0_142
    | ~ spl0_144
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f18220]) ).

cnf(s2059,plain,
    ( spl0_143
    | spl0_147
    | ~ spl0_182
    | ~ spl0_192 ),
    inference(sat_conversion,[],[f18222]) ).

cnf(s2060,plain,
    ( ~ spl0_28
    | ~ spl0_236
    | spl0_257 ),
    inference(sat_conversion,[],[f18223]) ).

cnf(s2061,plain,
    ( spl0_64
    | ~ spl0_140
    | ~ spl0_178
    | spl0_249 ),
    inference(sat_conversion,[],[f18224]) ).

cnf(s2063,plain,
    ( ~ spl0_139
    | ~ spl0_181
    | ~ spl0_218
    | spl0_226
    | spl0_310 ),
    inference(sat_conversion,[],[f18226]) ).

cnf(s2067,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f18237]) ).

cnf(s2071,plain,
    ( spl0_37
    | ~ spl0_86
    | spl0_87
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f18281]) ).

cnf(s2073,plain,
    ( ~ spl0_119
    | ~ spl0_242
    | spl0_251
    | spl0_310 ),
    inference(sat_conversion,[],[f18291]) ).

cnf(s2076,plain,
    ( spl0_19
    | ~ spl0_20
    | ~ spl0_43
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f18336]) ).

cnf(s2080,plain,
    ( spl0_142
    | spl0_227
    | spl0_235 ),
    inference(sat_conversion,[],[f18376]) ).

cnf(s2083,plain,
    ( spl0_24
    | spl0_193
    | ~ spl0_252 ),
    inference(sat_conversion,[],[f18381]) ).

cnf(s2088,plain,
    ( ~ spl0_6
    | spl0_64
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f18423]) ).

cnf(s2090,plain,
    ( ~ spl0_148
    | ~ spl0_181
    | spl0_241
    | spl0_242 ),
    inference(sat_conversion,[],[f18424]) ).

cnf(s2092,plain,
    ( ~ spl0_7
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_181
    | spl0_242 ),
    inference(sat_conversion,[],[f18426]) ).

cnf(s2099,plain,
    ( spl0_24
    | ~ spl0_110
    | spl0_114 ),
    inference(sat_conversion,[],[f18457]) ).

cnf(s2103,plain,
    ( spl0_137
    | spl0_138
    | spl0_148 ),
    inference(sat_conversion,[],[f18472]) ).

cnf(s2116,plain,
    ( spl0_5
    | ~ spl0_284
    | spl0_297 ),
    inference(sat_conversion,[],[f18580]) ).

cnf(s2117,plain,
    ( spl0_24
    | spl0_321
    | ~ spl0_349 ),
    inference(sat_conversion,[],[f18585]) ).

cnf(s2118,plain,
    ( spl0_58
    | ~ spl0_170
    | spl0_225 ),
    inference(sat_conversion,[],[f18600]) ).

cnf(s2119,plain,
    ( ~ spl0_228
    | spl0_239 ),
    inference(sat_conversion,[],[f18619]) ).

cnf(s2122,plain,
    ( ~ spl0_228
    | spl0_239
    | spl0_247 ),
    inference(sat_conversion,[],[f18624]) ).

cnf(s2125,plain,
    ( spl0_19
    | ~ spl0_20
    | ~ spl0_43
    | spl0_100 ),
    inference(sat_conversion,[],[f18627]) ).

cnf(s2126,plain,
    ( spl0_37
    | ~ spl0_218
    | spl0_219
    | ~ spl0_259 ),
    inference(sat_conversion,[],[f18628]) ).

cnf(s2127,plain,
    ( spl0_37
    | ~ spl0_43
    | ~ spl0_50
    | spl0_70
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f18629]) ).

cnf(s2128,plain,
    ( ~ spl0_20
    | ~ spl0_22
    | spl0_187
    | ~ spl0_259
    | spl0_277 ),
    inference(sat_conversion,[],[f18630]) ).

cnf(s2130,plain,
    ( spl0_70
    | ~ spl0_259
    | spl0_343 ),
    inference(sat_conversion,[],[f18632]) ).

cnf(s2136,plain,
    ( spl0_58
    | ~ spl0_64
    | spl0_73 ),
    inference(sat_conversion,[],[f18662]) ).

cnf(s2142,plain,
    ( spl0_146
    | spl0_227
    | spl0_242 ),
    inference(sat_conversion,[],[f18710]) ).

cnf(s2147,plain,
    ( ~ spl0_254
    | spl0_255
    | spl0_275 ),
    inference(sat_conversion,[],[f18721]) ).

cnf(s2154,plain,
    ( spl0_255
    | spl0_297
    | ~ spl0_298 ),
    inference(sat_conversion,[],[f18797]) ).

cnf(s2164,plain,
    ( ~ spl0_180
    | spl0_188
    | spl0_248 ),
    inference(sat_conversion,[],[f18924]) ).

cnf(s2165,plain,
    ( ~ spl0_183
    | spl0_228
    | spl0_248 ),
    inference(sat_conversion,[],[f18927]) ).

cnf(s2166,plain,
    ( ~ spl0_147
    | ~ spl0_172
    | ~ spl0_261 ),
    inference(sat_conversion,[],[f18993]) ).

cnf(s2171,plain,
    ( spl0_54
    | spl0_145
    | ~ spl0_169
    | ~ spl0_278 ),
    inference(sat_conversion,[],[f19001]) ).

cnf(s2173,plain,
    ( ~ spl0_141
    | spl0_188
    | spl0_193 ),
    inference(sat_conversion,[],[f19011]) ).

cnf(s2175,plain,
    ( ~ spl0_56
    | spl0_137
    | ~ spl0_178
    | spl0_215 ),
    inference(sat_conversion,[],[f19050]) ).

cnf(s2186,plain,
    ( ~ spl0_174
    | spl0_215
    | ~ spl0_250
    | spl0_305 ),
    inference(sat_conversion,[],[f19120]) ).

cnf(s2188,plain,
    ( ~ spl0_81
    | ~ spl0_180
    | ~ spl0_215
    | ~ spl0_236 ),
    inference(sat_conversion,[],[f19156]) ).

cnf(s2193,plain,
    ( ~ spl0_145
    | ~ spl0_177
    | ~ spl0_261 ),
    inference(sat_conversion,[],[f19234]) ).

cnf(s2194,plain,
    ( spl0_143
    | ~ spl0_177
    | spl0_288
    | ~ spl0_289 ),
    inference(sat_conversion,[],[f19236]) ).

cnf(s2195,plain,
    ( ~ spl0_56
    | ~ spl0_169
    | spl0_238
    | spl0_242 ),
    inference(sat_conversion,[],[f19237]) ).

cnf(s2198,plain,
    ( ~ spl0_172
    | spl0_237
    | ~ spl0_314
    | spl0_315 ),
    inference(sat_conversion,[],[f19288]) ).

cnf(s2204,plain,
    ( ~ spl0_172
    | ~ spl0_215
    | spl0_346 ),
    inference(sat_conversion,[],[f19303]) ).

cnf(s2205,plain,
    ( ~ spl0_64
    | ~ spl0_297
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f19311]) ).

cnf(s2207,plain,
    ( ~ spl0_100
    | ~ spl0_275
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f19314]) ).

cnf(s2209,plain,
    ( spl0_64
    | ~ spl0_142
    | ~ spl0_169
    | spl0_240 ),
    inference(sat_conversion,[],[f19317]) ).

cnf(s2210,plain,
    ( spl0_100
    | ~ spl0_169
    | spl0_231
    | ~ spl0_232 ),
    inference(sat_conversion,[],[f19318]) ).

cnf(s2211,plain,
    ( ~ spl0_28
    | spl0_261
    | ~ spl0_297 ),
    inference(sat_conversion,[],[f19319]) ).

cnf(s2212,plain,
    ( spl0_138
    | spl0_140
    | spl0_224 ),
    inference(sat_conversion,[],[f19333]) ).

cnf(s2217,plain,
    ( ~ spl0_226
    | spl0_228
    | spl0_271 ),
    inference(sat_conversion,[],[f19342]) ).

cnf(s2218,plain,
    ( spl0_26
    | spl0_271
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f19345]) ).

cnf(s2219,plain,
    ( spl0_5
    | ~ spl0_137
    | spl0_234 ),
    inference(sat_conversion,[],[f19348]) ).

cnf(s2220,plain,
    ( spl0_188
    | ~ spl0_224
    | spl0_234 ),
    inference(sat_conversion,[],[f19353]) ).

cnf(s2224,plain,
    ( spl0_26
    | spl0_275
    | ~ spl0_287 ),
    inference(sat_conversion,[],[f19370]) ).

cnf(s2225,plain,
    ( spl0_228
    | ~ spl0_235
    | spl0_236 ),
    inference(sat_conversion,[],[f19375]) ).

cnf(s2228,plain,
    ( ~ spl0_58
    | ~ spl0_178
    | ~ spl0_218
    | spl0_219 ),
    inference(sat_conversion,[],[f19418]) ).

cnf(s2229,plain,
    ( spl0_54
    | spl0_147
    | ~ spl0_178
    | ~ spl0_192 ),
    inference(sat_conversion,[],[f19419]) ).

cnf(s2232,plain,
    ( spl0_186
    | spl0_188
    | ~ spl0_237 ),
    inference(sat_conversion,[],[f19429]) ).

cnf(s2233,plain,
    ( ~ spl0_58
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f19447]) ).

cnf(s2235,plain,
    ( spl0_5
    | spl0_32
    | ~ spl0_210 ),
    inference(sat_conversion,[],[f19458]) ).

cnf(s2236,plain,
    ( ~ spl0_187
    | spl0_188
    | spl0_264 ),
    inference(sat_conversion,[],[f19464]) ).

cnf(s2237,plain,
    ( spl0_5
    | spl0_236
    | ~ spl0_242 ),
    inference(sat_conversion,[],[f19474]) ).

cnf(s2238,plain,
    ( ~ spl0_143
    | spl0_228
    | spl0_321 ),
    inference(sat_conversion,[],[f19481]) ).

cnf(s2240,plain,
    ( spl0_58
    | ~ spl0_179
    | spl0_186 ),
    inference(sat_conversion,[],[f19487]) ).

cnf(s2241,plain,
    ( spl0_58
    | ~ spl0_170
    | spl0_225 ),
    inference(sat_conversion,[],[f19511]) ).

cnf(s2243,plain,
    ( spl0_239
    | spl0_246
    | spl0_247 ),
    inference(sat_conversion,[],[f19525]) ).

cnf(s2248,plain,
    ( spl0_225
    | spl0_228
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f19557]) ).

cnf(s2255,plain,
    ( ~ spl0_171
    | ~ spl0_187
    | ~ spl0_275 ),
    inference(sat_conversion,[],[f19657]) ).

cnf(s2256,plain,
    ( ~ spl0_171
    | spl0_188
    | spl0_253 ),
    inference(sat_conversion,[],[f19658]) ).

cnf(s2259,plain,
    ( spl0_237
    | spl0_250 ),
    inference(rat,[],[s1188,s1685]) ).

cnf(s2266,plain,
    ( ~ spl0_117
    | ~ spl0_171
    | ~ spl0_187 ),
    inference(rat,[],[s811,s857]) ).

cnf(s2269,plain,
    ( ~ spl0_117
    | ~ spl0_180
    | ~ spl0_187 ),
    inference(rat,[],[s770,s823]) ).

cnf(s2273,plain,
    ( spl0_239
    | spl0_246 ),
    inference(rat,[],[s740,s1081]) ).

cnf(s2275,plain,
    ( ~ spl0_4
    | ~ spl0_64
    | spl0_78
    | ~ spl0_129
    | ~ spl0_170
    | spl0_226 ),
    inference(rat,[],[s707,s845]) ).

cnf(s2277,plain,
    ( ~ spl0_64
    | ~ spl0_129
    | ~ spl0_170
    | spl0_226
    | spl0_228 ),
    inference(rat,[],[s704,s845]) ).

cnf(s2283,plain,
    ( ~ spl0_64
    | ~ spl0_129
    | ~ spl0_179
    | spl0_187
    | spl0_188 ),
    inference(rat,[],[s473,s517]) ).

cnf(s2296,plain,
    ( spl0_169
    | spl0_170 ),
    inference(rat,[],[s387,s440]) ).

cnf(s2306,plain,
    ( spl0_8
    | spl0_28
    | ~ spl0_120 ),
    inference(rat,[],[s331,s357]) ).

cnf(s2317,plain,
    ( ~ spl0_2
    | spl0_16
    | spl0_70 ),
    inference(rat,[],[s262,s357]) ).

cnf(s2319,plain,
    ( spl0_16
    | spl0_30 ),
    inference(rat,[],[s252,s357]) ).

cnf(s2329,plain,
    ( spl0_46
    | spl0_56 ),
    inference(rat,[],[s153,s440]) ).

cnf(s2333,plain,
    ( ~ spl0_224
    | spl0_234 ),
    inference(rat,[],[s717,s2220]) ).

cnf(s2334,plain,
    ( ~ spl0_277
    | ~ spl0_100
    | ~ spl0_51
    | ~ spl0_56
    | spl0_64
    | ~ spl0_8 ),
    inference(rat,[],[s2232,s1936,s1920,s2061,s749,s2333,s716,s1501,s1201,s2015,s1424,s161,s357]) ).

cnf(s2335,plain,
    ( ~ spl0_100
    | ~ spl0_102
    | ~ spl0_51
    | ~ spl0_56
    | spl0_64
    | ~ spl0_54
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_28
    | ~ spl0_8 ),
    inference(rat,[],[s1819,s447,s2218,s1631,s1035,s1614,s453,s1960,s449,s1296,s1298,s1653,s2165,s794,s996,s1051,s1281,s1064,s446,s573,s990,s2059,s2045,s2232,s869,s1936,s1920,s2061,s749,s2333,s716,s1824,s1536,s1481,s1493,s944,s2334,s1784,s161,s1482,s1419,s772,s1505,s440,s319,s357]) ).

cnf(s2336,plain,
    ( ~ spl0_277
    | ~ spl0_86
    | ~ spl0_51
    | ~ spl0_56
    | spl0_64
    | spl0_58
    | ~ spl0_8
    | spl0_5 ),
    inference(rat,[],[s869,s1019,s1920,s2175,s2061,s716,s749,s2240,s2333,s2219,s1201,s1424,s1784,s161,s357]) ).

cnf(s2337,plain,
    ( ~ spl0_86
    | ~ spl0_51
    | ~ spl0_56
    | spl0_64
    | ~ spl0_54
    | ~ spl0_119
    | ~ spl0_19
    | spl0_15
    | ~ spl0_8
    | spl0_5 ),
    inference(rat,[],[s1920,s869,s2061,s1019,s749,s2175,s2333,s716,s1824,s1536,s1493,s2002,s944,s2336,s1444,s33,s22,s1223,s1784,s161,s357,s682]) ).

cnf(s2338,plain,
    ( ~ spl0_51
    | spl0_89
    | ~ spl0_56
    | ~ spl0_54
    | ~ spl0_119
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_29
    | spl0_15
    | ~ spl0_8
    | spl0_5 ),
    inference(rat,[],[s716,s1331,s1536,s156,s2103,s1493,s203,s2002,s944,s2335,s2334,s690,s2337,s1444,s33,s22,s1227,s582,s357,s517,s682,s440]) ).

cnf(s2339,plain,
    ( ~ spl0_100
    | ~ spl0_140
    | ~ spl0_148
    | ~ spl0_264
    | spl0_89
    | ~ spl0_56
    | spl0_64
    | spl0_58
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_35
    | spl0_37
    | ~ spl0_29 ),
    inference(rat,[],[s1822,s1298,s711,s2165,s1697,s1064,s573,s1481,s2059,s2126,s1431,s2045,s808,s1381,s772,s1482,s869,s1427,s203,s1920,s156,s2061,s1331,s716,s1501,s1808,s1227,s357,s440]) ).

cnf(s2340,plain,
    ( ~ spl0_183
    | ~ spl0_252
    | spl0_231
    | ~ spl0_264
    | spl0_37 ),
    inference(rat,[],[s1822,s1298,s711,s2165,s1697,s1064]) ).

cnf(s2341,plain,
    ( ~ spl0_242
    | ~ spl0_119
    | spl0_26
    | ~ spl0_9 ),
    inference(rat,[],[s2218,s2073,s1136,s823]) ).

cnf(s2342,plain,
    ( ~ spl0_178
    | ~ spl0_86
    | ~ spl0_140
    | spl0_137
    | ~ spl0_264
    | ~ spl0_277
    | ~ spl0_50
    | spl0_89
    | ~ spl0_56
    | spl0_64
    | spl0_58
    | ~ spl0_146
    | ~ spl0_35
    | ~ spl0_29 ),
    inference(rat,[],[s1697,s1435,s573,s447,s1976,s2241,s1400,s1294,s1060,s2164,s772,s1482,s574,s1427,s203,s1239,s1970,s1920,s156,s1019,s2061,s1331,s2175,s1227,s2103,s357,s440,s517]) ).

cnf(s2343,plain,
    ( ~ spl0_102
    | ~ spl0_259
    | ~ spl0_179
    | ~ spl0_86
    | spl0_137
    | ~ spl0_264
    | ~ spl0_277
    | ~ spl0_50
    | spl0_242
    | ~ spl0_22
    | spl0_37 ),
    inference(rat,[],[s447,s1435,s1297,s1400,s1697,s2164,s1239,s573,s574,s808,s1976,s2090,s2126,s1294,s1381,s772,s1482,s1505,s2142,s2103,s440,s357,s517,s845]) ).

cnf(s2344,plain,
    ( ~ spl0_183
    | spl0_248 ),
    inference(rat,[],[s2165,s1064]) ).

cnf(s2345,plain,
    ( ~ spl0_219
    | ~ spl0_50
    | spl0_89
    | ~ spl0_22
    | ~ spl0_35 ),
    inference(rat,[],[s1427,s1381,s1333]) ).

cnf(s2346,plain,
    ( ~ spl0_277
    | ~ spl0_50
    | spl0_89
    | ~ spl0_56
    | ~ spl0_54
    | spl0_242
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_35
    | spl0_37
    | ~ spl0_29
    | ~ spl0_8
    | spl0_5 ),
    inference(rat,[],[s1899,s1975,s1294,s1970,s772,s574,s2173,s1605,s1239,s808,s2126,s1976,s573,s2344,s2218,s1035,s1960,s1534,s1297,s447,s1895,s156,s203,s2343,s1536,s1169,s716,s2342,s690,s2339,s749,s2103,s2333,s2219,s2015,s1424,s161,s2142,s1223,s1227,s582,s2345,s440,s357,s517,s845]) ).

cnf(s2347,plain,
    ( spl0_89
    | ~ spl0_56
    | ~ spl0_54
    | ~ spl0_119
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_29
    | spl0_15
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2209,s2080,s2044,s1168,s1281,s711,s573,s447,s1822,s1976,s2241,s1298,s1294,s1060,s2164,s2232,s1431,s772,s574,s1936,s1482,s1505,s1970,s1920,s203,s2061,s156,s749,s1331,s2333,s716,s1824,s1536,s1481,s2103,s1493,s2002,s944,s2346,s49,s2338,s1450,s1444,s1905,s7,s33,s22,s2142,s2341,s161,s1223,s1227,s582,s845,s357,s440,s517,s682]) ).

cnf(s2348,plain,
    ( ~ spl0_183
    | ~ spl0_169
    | spl0_236
    | ~ spl0_186
    | ~ spl0_56
    | spl0_64 ),
    inference(rat,[],[s2209,s2080,s2044,s2225,s1281,s1064,s845]) ).

cnf(s2349,plain,
    ( ~ spl0_54
    | ~ spl0_19
    | ~ spl0_16
    | spl0_15
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2209,s2044,s2080,s1432,s1899,s2059,s573,s2348,s447,s2241,s2188,s1060,s2045,s772,s2232,s574,s869,s1433,s1936,s1970,s1920,s2061,s749,s2175,s2333,s716,s1824,s1536,s1493,s2002,s944,s2334,s690,s2337,s1784,s49,s1247,s2347,s155,s258,s1227,s2000,s582,s1223,s1444,s2013,s7,s33,s18,s17,s1342,s2142,s2341,s240,s232,s22,s161,s845,s357,s440,s682]) ).

cnf(s2350,plain,
    ( ~ spl0_277
    | ~ spl0_178
    | ~ spl0_56
    | spl0_54
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_35
    | spl0_37
    | ~ spl0_29
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2334,s687,s690,s1769,s2071,s688,s203,s1505,s159,s1018,s1331,s2175,s2103,s2219,s1424,s1905,s7,s1888,s577,s517,s319]) ).

cnf(s2351,plain,
    ( ~ spl0_178
    | ~ spl0_56
    | spl0_54
    | ~ spl0_119
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_29
    | ~ spl0_28
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1292,s1063,s1976,s2238,s573,s1290,s2348,s2195,s447,s2241,s1384,s2188,s1060,s808,s574,s2232,s869,s1970,s1920,s2061,s1227,s687,s1455,s1784,s690,s1769,s2071,s688,s203,s749,s718,s1505,s159,s2333,s1018,s1331,s1824,s2175,s2103,s1493,s2002,s944,s2350,s1450,s1905,s7,s2142,s2341,s161,s1888,s577,s357,s440,s517,s682,s319,s845]) ).

cnf(s2352,plain,
    ( ~ spl0_277
    | ~ spl0_179
    | ~ spl0_56
    | ~ spl0_43
    | spl0_87
    | spl0_242
    | spl0_70
    | ~ spl0_35
    | spl0_37
    | ~ spl0_29
    | spl0_26 ),
    inference(rat,[],[s1482,s203,s1290,s156,s2195,s1895,s1227,s447,s1241,s2233,s2240,s1201,s49,s2127,s2071,s690,s1501,s2015,s2142,s440,s845]) ).

cnf(s2353,plain,
    ( ~ spl0_102
    | spl0_137
    | ~ spl0_179
    | ~ spl0_56
    | ~ spl0_43
    | spl0_242 ),
    inference(rat,[],[s1297,s2344,s447,s573,s2195,s1976,s1290,s1294,s772,s1482,s1505,s2142,s440,s357,s845]) ).

cnf(s2354,plain,
    ( spl0_89
    | ~ spl0_81
    | spl0_102
    | spl0_106
    | ~ spl0_146
    | ~ spl0_35
    | ~ spl0_29 ),
    inference(rat,[],[s447,s2233,s1895,s189,s156,s203,s208,s440]) ).

cnf(s2355,plain,
    ( ~ spl0_226
    | spl0_271 ),
    inference(rat,[],[s2217,s1063]) ).

cnf(s2356,plain,
    ( ~ spl0_187
    | spl0_264 ),
    inference(rat,[],[s2236,s1239]) ).

cnf(s2357,plain,
    ( ~ spl0_170
    | ~ spl0_100
    | spl0_137
    | ~ spl0_179
    | ~ spl0_146 ),
    inference(rat,[],[s1976,s573,s1292,s2344,s2355,s1297,s1819,s808,s2356,s1501,s357]) ).

cnf(s2358,plain,
    ( spl0_64
    | spl0_259
    | spl0_137
    | ~ spl0_179
    | ~ spl0_56
    | spl0_54
    | spl0_242
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_35
    | spl0_37
    | ~ spl0_29
    | spl0_26 ),
    inference(rat,[],[s1529,s1292,s2044,s1976,s2209,s573,s2080,s1299,s1899,s1290,s2195,s447,s2357,s808,s2356,s1501,s1784,s690,s1769,s2071,s688,s2354,s1227,s2142,s1888,s868,s1481,s2353,s577,s357,s845,s440,s319]) ).

cnf(s2359,plain,
    ( ~ spl0_64
    | spl0_87
    | ~ spl0_28
    | ~ spl0_4 ),
    inference(rat,[],[s174,s690,s2136,s687,s1241,s1450]) ).

cnf(s2360,plain,
    ( ~ spl0_46
    | ~ spl0_19
    | ~ spl0_35
    | ~ spl0_16
    | ~ spl0_8
    | spl0_5 ),
    inference(rat,[],[s49,s1247,s610,s257,s1785]) ).

cnf(s2361,plain,
    ( ~ spl0_19
    | ~ spl0_16
    | spl0_15
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2358,s1493,s2002,s944,s2352,s716,s2351,s155,s2360,s2359,s577,s1888,s2349,s2341,s240,s232,s1450,s1444,s1905,s33,s1325,s2013,s7,s18,s161,s17,s1342,s22,s682,s357,s319]) ).

cnf(s2362,plain,
    ( ~ spl0_146
    | ~ spl0_338
    | ~ spl0_249
    | ~ spl0_215
    | spl0_137
    | ~ spl0_277
    | ~ spl0_56
    | ~ spl0_114
    | spl0_64
    | spl0_58 ),
    inference(rat,[],[s1432,s2243,s1294,s1645,s1976,s573,s2348,s1035,s447,s1400,s2241,s2164,s1060,s2188,s574,s1970,s1227,s2232,s1936,s772,s1433,s1920,s1081,s357,s440]) ).

cnf(s2363,plain,
    ( ~ spl0_242
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_28
    | spl0_26
    | ~ spl0_9 ),
    inference(rat,[],[s1451,s2060,s2355,s2218,s2237,s1136,s7]) ).

cnf(s2364,plain,
    ( ~ spl0_277
    | ~ spl0_56
    | ~ spl0_114
    | spl0_64
    | spl0_58
    | ~ spl0_178
    | ~ spl0_146
    | ~ spl0_8
    | spl0_5 ),
    inference(rat,[],[s1201,s2232,s1810,s1936,s2362,s1920,s2061,s749,s2175,s2333,s2219,s1424]) ).

cnf(s2365,plain,
    ( ~ spl0_102
    | ~ spl0_257
    | ~ spl0_170
    | ~ spl0_148
    | ~ spl0_178
    | spl0_242
    | ~ spl0_22
    | spl0_37 ),
    inference(rat,[],[s805,s1828,s1605,s1819,s2355,s574,s711,s2090,s1822,s1294,s1431,s1381,s772,s1482,s1505,s357,s440]) ).

cnf(s2366,plain,
    ( ~ spl0_170
    | ~ spl0_80
    | ~ spl0_148
    | spl0_87
    | ~ spl0_54
    | ~ spl0_178
    | spl0_242
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_35
    | spl0_37
    | ~ spl0_29
    | spl0_26 ),
    inference(rat,[],[s1451,s2355,s2218,s1819,s690,s2071,s203,s2365,s1534]) ).

cnf(s2367,plain,
    ( ~ spl0_102
    | ~ spl0_98
    | ~ spl0_169
    | spl0_137
    | spl0_277
    | ~ spl0_56
    | spl0_64
    | ~ spl0_178
    | spl0_242
    | ~ spl0_20
    | ~ spl0_22
    | spl0_37
    | ~ spl0_4 ),
    inference(rat,[],[s1237,s2128,s2212,s1481,s2061,s1298,s1920,s1822,s1060,s711,s2248,s1529,s2044,s2209,s2080,s2225,s2344,s1064,s2188,s573,s574,s1976,s2090,s1294,s1431,s772,s1482,s1505,s2142,s1227,s2103,s2175,s517,s845,s357,s440]) ).

cnf(s2368,plain,
    ( ~ spl0_187
    | ~ spl0_98
    | ~ spl0_56
    | spl0_64
    | ~ spl0_178
    | ~ spl0_4 ),
    inference(rat,[],[s2061,s1920,s749,s869,s1237]) ).

cnf(s2369,plain,
    ( ~ spl0_143
    | ~ spl0_169
    | ~ spl0_56
    | ~ spl0_114
    | spl0_64
    | ~ spl0_29 ),
    inference(rat,[],[s2209,s2044,s2080,s1432,s1899,s845]) ).

cnf(s2370,plain,
    ( ~ spl0_102
    | spl0_143
    | ~ spl0_169
    | spl0_137
    | spl0_277
    | ~ spl0_56
    | spl0_64
    | spl0_58
    | ~ spl0_178
    | spl0_242
    | ~ spl0_20
    | ~ spl0_22
    | spl0_37
    | spl0_26
    | ~ spl0_4 ),
    inference(rat,[],[s1697,s2356,s573,s1289,s1834,s1976,s690,s49,s1294,s1808,s1784,s772,s2367,s1505,s2142,s2195,s357,s440,s845]) ).

cnf(s2371,plain,
    ( spl0_137
    | spl0_277
    | ~ spl0_56
    | ~ spl0_54
    | ~ spl0_178
    | spl0_242
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_29
    | ~ spl0_28
    | spl0_26
    | ~ spl0_4 ),
    inference(rat,[],[s573,s2348,s2059,s2188,s772,s2232,s574,s1433,s1936,s1970,s1920,s2061,s749,s2333,s1824,s2128,s2045,s2368,s1808,s690,s2071,s203,s2370,s2369,s447,s2366,s159,s1331,s2175,s2103,s1450,s2142,s2000,s1223,s1227,s582,s1328,s944,s357,s440,s517,s845]) ).

cnf(s2372,plain,
    ( ~ spl0_54
    | ~ spl0_178
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_28
    | ~ spl0_16
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2128,s1824,s2356,s2219,s1500,s2371,s2364,s155,s258,s2000,s582,s1223,s1905,s2013,s7,s2142,s2363,s18,s1342,s161,s845]) ).

cnf(s2373,plain,
    ( ~ spl0_178
    | spl0_19
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_28
    | ~ spl0_16
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1292,s1063,s1976,s2238,s573,s1290,s2348,s2195,s447,s2241,s1060,s1384,s2188,s574,s2232,s1970,s1920,s2061,s749,s2175,s718,s2333,s2219,s767,s1824,s2229,s2128,s2045,s808,s2368,s2350,s155,s1216,s1227,s1808,s2076,s2359,s196,s577,s1888,s2372,s2013,s1450,s1905,s7,s212,s2142,s2363,s18,s1342,s161,s357,s440,s319,s845]) ).

cnf(s2374,plain,
    ( ~ spl0_277
    | ~ spl0_54
    | ~ spl0_179
    | spl0_242
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_35
    | spl0_37
    | ~ spl0_29
    | ~ spl0_8
    | spl0_5 ),
    inference(rat,[],[s1899,s1975,s1294,s1970,s1976,s574,s573,s2164,s2344,s772,s1297,s2173,s447,s1239,s1895,s808,s156,s2126,s203,s2343,s2345,s1179,s690,s749,s49,s1501,s2333,s2219,s1201,s2015,s1424,s161,s2142,s1169,s1536,s2240,s1223,s1227,s582,s357,s440,s845]) ).

cnf(s2375,plain,
    ( spl0_248
    | ~ spl0_192
    | spl0_137
    | ~ spl0_140
    | spl0_188
    | ~ spl0_146
    | ~ spl0_29 ),
    inference(rat,[],[s1899,s1975,s1294,s1970,s1976,s574,s573,s2164,s2344,s357]) ).

cnf(s2376,plain,
    ( ~ spl0_54
    | ~ spl0_56
    | ~ spl0_179
    | spl0_242
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_35
    | spl0_37
    | ~ spl0_29
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s573,s1976,s1697,s1294,s1289,s2369,s2195,s447,s1297,s2375,s690,s772,s1501,s1500,s749,s2173,s2356,s1237,s1239,s2128,s2374,s1536,s1169,s2000,s582,s1223,s1905,s7,s2142,s357,s440,s845]) ).

cnf(s2377,plain,
    ( ~ spl0_56
    | ~ spl0_179
    | ~ spl0_18
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_29
    | ~ spl0_28
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2219,s2358,s1824,s2128,s2356,s1501,s2352,s2359,s196,s577,s1888,s2376,s1450,s1905,s7,s1325,s2363,s161,s319]) ).

cnf(s2378,plain,
    ( spl0_14
    | spl0_13
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1808,s1455,s1179,s610,s257,s1216,s1785,s155,s2377,s716,s2373,s212,s2361,s17,s18,s33,s1342,s2013,s22,s1444,s2319,s12,s28,s7,s161,s357]) ).

cnf(s2379,plain,
    ( ~ spl0_28
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_16
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2359,s188,s1888,s2372,s33,s37,s1905,s7,s18,s1342,s161]) ).

cnf(s2380,plain,
    ( ~ spl0_277
    | spl0_231
    | ~ spl0_102
    | ~ spl0_114
    | spl0_64
    | ~ spl0_56
    | ~ spl0_15
    | ~ spl0_178
    | spl0_58
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s453,s1055,s1296,s1728,s2344,s711,s446,s573,s2355,s990,s1573,s1136,s923,s2142,s2333,s2364,s2015,s1424,s7,s161,s1419,s772,s1505,s319,s440,s357,s845]) ).

cnf(s2381,plain,
    ( spl0_242
    | spl0_277
    | ~ spl0_102
    | spl0_137
    | spl0_37
    | ~ spl0_35
    | ~ spl0_54
    | ~ spl0_56
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_22
    | ~ spl0_29
    | spl0_58
    | spl0_26
    | ~ spl0_4 ),
    inference(rat,[],[s447,s2370,s2366,s582,s159,s1331,s2103,s1482,s1328,s944,s440,s517]) ).

cnf(s2382,plain,
    ( spl0_137
    | spl0_37
    | ~ spl0_35
    | ~ spl0_54
    | ~ spl0_56
    | spl0_28
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_16
    | spl0_58
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1808,s2210,s2368,s447,s2007,s1534,s574,s1451,s711,s2188,s2355,s2218,s2237,s1136,s2381,s2380,s1431,s1482,s203,s159,s1921,s1331,s2175,s2103,s1905,s18,s1342,s161,s1444,s2000,s1227,s582,s2013,s7,s440,s357,s517]) ).

cnf(s2383,plain,
    ( spl0_24
    | ~ spl0_35
    | ~ spl0_54
    | ~ spl0_56
    | spl0_28
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_16
    | spl0_58
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2128,s1481,s2356,s2015,s2083,s1500,s1214,s2382,s1222,s18,s1342,s161]) ).

cnf(s2384,plain,
    ( ~ spl0_35
    | ~ spl0_54
    | ~ spl0_56
    | spl0_28
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_16
    | spl0_58
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2128,s2356,s2015,s1500,s2382,s1481,s589,s1923,s2383,s18,s1342,s161]) ).

cnf(s2385,plain,
    ( ~ spl0_54
    | ~ spl0_56
    | spl0_28
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_16
    | spl0_58
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2128,s2356,s2015,s1500,s734,s1331,s1921,s230,s1481,s1775,s1923,s33,s2384,s1227,s582,s2013,s7,s18,s1342,s161,s440]) ).

cnf(s2386,plain,
    ( spl0_54
    | ~ spl0_20
    | spl0_70
    | spl0_25
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s1222,s1775,s2127,s525,s49,s798,s610,s612,s2125,s690,s2136,s687,s188,s577,s167,s319]) ).

cnf(s2387,plain,
    ( ~ spl0_20
    | ~ spl0_178
    | ~ spl0_16
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2329,s258,s2385,s2000,s2386,s2379,s1905,s167,s1342,s1325,s2013,s7]) ).

cnf(s2388,plain,
    ( spl0_20
    | spl0_25 ),
    inference(rat,[],[s17,s19]) ).

cnf(s2389,plain,
    ( ~ spl0_28
    | ~ spl0_56
    | ~ spl0_179
    | ~ spl0_54
    | ~ spl0_20
    | ~ spl0_22
    | ~ spl0_29
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2376,s33,s2363,s37,s1450,s1905,s7,s161]) ).

cnf(s2390,plain,
    ( spl0_24
    | ~ spl0_56
    | ~ spl0_179
    | ~ spl0_114
    | ~ spl0_54
    | spl0_25
    | ~ spl0_29
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2128,s2356,s2015,s1501,s2210,s1431,s2369,s447,s1534,s1451,s711,s2355,s2218,s1136,s1536,s2376,s1222,s33,s18,s161,s2388,s582,s440]) ).

cnf(s2392,plain,
    ( ~ spl0_277
    | ~ spl0_89
    | ~ spl0_186
    | ~ spl0_179
    | ~ spl0_20
    | ~ spl0_22
    | spl0_26 ),
    inference(rat,[],[s1179,s1501,s1201,s2015]) ).

cnf(s2393,plain,
    ( ~ spl0_16
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s869,s1784,s1920,s1179,s1430,s1501,s749,s2356,s1237,s2128,s2392,s230,s1481,s1775,s1923,s2390,s2389,s155,s2240,s258,s716,s2000,s2387,s2386,s2388,s18,s1325,s1342,s2013,s1905,s7,s161,s167,s357]) ).

cnf(s2394,plain,
    ( ~ spl0_28
    | ~ spl0_29
    | ~ spl0_56
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_178
    | spl0_58
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2128,s1824,s2356,s2219,s1500,s2371,s2364,s2142,s2363,s1905,s7,s161,s2000,s582,s845]) ).

cnf(s2395,plain,
    ( spl0_234
    | spl0_28
    | spl0_64
    | ~ spl0_29
    | ~ spl0_56
    | ~ spl0_35
    | ~ spl0_178
    | ~ spl0_30
    | spl0_5 ),
    inference(rat,[],[s1505,s203,s1000,s159,s1921,s2061,s1331,s749,s2103,s2333,s2219,s1227,s517,s440]) ).

cnf(s2396,plain,
    ( spl0_137
    | spl0_277
    | spl0_28
    | ~ spl0_29
    | spl0_37
    | ~ spl0_56
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_30
    | spl0_58
    | spl0_26
    | ~ spl0_9 ),
    inference(rat,[],[s2007,s1237,s574,s711,s2212,s2188,s2355,s2061,s2237,s1136,s1431,s1000,s2381,s1482,s1505,s203,s159,s1921,s1331,s2175,s2103,s1905,s7,s1227,s582,s357,s517,s440]) ).

cnf(s2397,plain,
    ( ~ spl0_170
    | spl0_231
    | ~ spl0_100
    | spl0_37
    | ~ spl0_54
    | ~ spl0_35 ),
    inference(rat,[],[s711,s2355,s1822,s1819,s1534]) ).

cnf(s2398,plain,
    ( spl0_143
    | ~ spl0_100
    | spl0_89
    | ~ spl0_146
    | ~ spl0_252
    | spl0_147
    | ~ spl0_29
    | spl0_37
    | ~ spl0_56
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s2344,s573,s1298,s2059,s1822,s772,s711,s1505,s1168,s203,s2080,s159,s2209,s1895,s447,s2397,s930,s1431,s582,s357,s440,s845]) ).

cnf(s2399,plain,
    ( ~ spl0_143
    | spl0_28
    | ~ spl0_29
    | ~ spl0_56
    | ~ spl0_114
    | ~ spl0_54
    | ~ spl0_35 ),
    inference(rat,[],[s1534,s1922,s447,s2044,s2080,s2369,s1432,s1899,s582,s440,s845]) ).

cnf(s2400,plain,
    ( ~ spl0_100
    | ~ spl0_146
    | spl0_143
    | ~ spl0_252
    | spl0_147
    | spl0_44
    | ~ spl0_29
    | spl0_37
    | ~ spl0_56
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_30
    | spl0_58
    | ~ spl0_9 ),
    inference(rat,[],[s618,s1216,s2398,s1808,s1905,s7]) ).

cnf(s2401,plain,
    ( ~ spl0_141
    | spl0_64
    | ~ spl0_29
    | ~ spl0_56
    | ~ spl0_114
    | ~ spl0_178 ),
    inference(rat,[],[s2061,s1920,s749,s1433,s1805]) ).

cnf(s2402,plain,
    ( ~ spl0_29
    | spl0_37
    | ~ spl0_56
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1320,s2142,s2344,s2400,s573,s1828,s2059,s1381,s772,s2401,s2399,s1481,s2128,s2045,s808,s2356,s1500,s2396,s1424,s2395,s132,s1444,s2394,s582,s7,s161,s2319,s2393,s2000,s167,s845,s357,s440]) ).

cnf(s2403,plain,
    ( ~ spl0_249
    | ~ spl0_56
    | ~ spl0_114
    | ~ spl0_30 ),
    inference(rat,[],[s1433,s1920,s1000]) ).

cnf(s2404,plain,
    ( spl0_143
    | ~ spl0_100
    | ~ spl0_252
    | spl0_187
    | spl0_188
    | spl0_64
    | spl0_37
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s2164,s574,s1298,s2007,s1822,s711,s1168,s2080,s2209,s447,s2397,s930,s1431,s357,s845,s440]) ).

cnf(s2405,plain,
    ( ~ spl0_100
    | ~ spl0_139
    | spl0_259
    | spl0_187
    | spl0_188
    | spl0_64
    | spl0_37
    | ~ spl0_56
    | ~ spl0_114
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1380,s574,s1381,s2007,s1822,s1121,s711,s1168,s2080,s2209,s447,s2397,s1115,s2044,s573,s1432,s1299,s2404,s808,s1481,s357,s845,s440]) ).

cnf(s2406,plain,
    ( ~ spl0_257
    | spl0_240
    | spl0_231
    | spl0_28
    | spl0_37
    | ~ spl0_4 ),
    inference(rat,[],[s1168,s711,s2080,s1822,s1922,s845]) ).

cnf(s2407,plain,
    ( spl0_143
    | spl0_100
    | spl0_64
    | spl0_28
    | spl0_37
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s711,s1168,s2080,s2209,s2210,s447,s1534,s2406,s930,s1431,s845,s440]) ).

cnf(s2408,plain,
    ( spl0_64
    | spl0_28
    | spl0_37
    | ~ spl0_56
    | ~ spl0_114
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_30
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s1952,s573,s1432,s1299,s2407,s1191,s1433,s1381,s1019,s1828,s690,s2405,s944,s2128,s808,s1424,s1237,s717,s2333,s2212,s2061,s2403,s357,s319,s517]) ).

cnf(s2409,plain,
    ( spl0_143
    | ~ spl0_140
    | ~ spl0_264
    | spl0_100
    | spl0_28
    | spl0_37
    | spl0_249
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s711,s2210,s1168,s447,s1975,s1534,s573,s2406,s2340,s930,s1431,s1481,s1430,s440,s357]) ).

cnf(s2410,plain,
    ( spl0_37
    | ~ spl0_56
    | ~ spl0_54
    | spl0_24
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s709,s447,s711,s1534,s1168,s2406,s1975,s1422,s2044,s573,s1432,s1299,s2409,s1430,s749,s2356,s1237,s808,s874,s2345,s1179,s49,s610,s2136,s687,s2408,s2014,s2402,s1905,s7,s33,s2403,s2000,s167,s2319,s2393,s440,s357]) ).

cnf(s2411,plain,
    ( ~ spl0_29
    | spl0_100
    | spl0_249
    | ~ spl0_56
    | ~ spl0_114
    | ~ spl0_54
    | ~ spl0_22
    | ~ spl0_178
    | ~ spl0_4 ),
    inference(rat,[],[s805,s1237,s1828,s2212,s1381,s2061,s2401,s582,s517]) ).

cnf(s2412,plain,
    ( ~ spl0_98
    | spl0_44
    | ~ spl0_37
    | ~ spl0_30
    | ~ spl0_9 ),
    inference(rat,[],[s618,s1823,s1216]) ).

cnf(s2413,plain,
    ( ~ spl0_56
    | ~ spl0_54
    | spl0_24
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1430,s1765,s749,s2356,s1237,s808,s1828,s2345,s1179,s49,s1784,s2412,s1535,s1425,s1450,s1222,s2410,s2403,s1905,s7,s161,s2319,s2393,s33,s2000,s167]) ).

cnf(s2415,plain,
    ( spl0_64
    | ~ spl0_187
    | spl0_28
    | ~ spl0_338
    | spl0_100
    | ~ spl0_114
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_178
    | ~ spl0_30
    | spl0_26
    | ~ spl0_9 ),
    inference(rat,[],[s1970,s574,s2142,s1605,s1136,s2218,s1035,s1645,s2243,s573,s1432,s1299,s2407,s2061,s749,s1765,s1580,s923,s1237,s1905,s7,s1444,s1500,s2356,s357,s845,s1081]) ).

cnf(s2416,plain,
    ( spl0_143
    | spl0_37
    | ~ spl0_264
    | spl0_224
    | spl0_28
    | spl0_100
    | ~ spl0_54
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1168,s2080,s711,s1978,s2210,s574,s447,s1380,s1534,s1000,s2406,s2409,s930,s1431,s749,s845,s357,s440]) ).

cnf(s2417,plain,
    ( ~ spl0_54
    | spl0_24
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s447,s709,s1130,s711,s2225,s1168,s726,s1975,s1970,s574,s2142,s1605,s1136,s2218,s1035,s1645,s1422,s2243,s573,s1432,s1299,s2416,s2415,s1765,s1580,s1500,s923,s749,s2356,s1237,s808,s1444,s1828,s1733,s2345,s1179,s1810,s49,s1808,s610,s1216,s1785,s155,s2413,s2000,s1905,s7,s161,s167,s2319,s2393,s33,s440,s357,s845,s1081]) ).

cnf(s2418,plain,
    ( spl0_24
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2067,s2127,s1159,s1765,s767,s1580,s2229,s1500,s923,s2356,s1237,s808,s1828,s2345,s1179,s49,s610,s1444,s690,s2136,s2359,s687,s188,s577,s1888,s2417,s33,s1905,s7,s161,s167,s2319,s2393,s357,s319]) ).

cnf(s2419,plain,
    ( ~ spl0_22
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1179,s1808,s610,s1216,s1785,s618,s230,s864,s1775,s1923,s2418,s7,s167,s2319,s2393]) ).

cnf(s2420,plain,
    ( spl0_187
    | ~ spl0_50
    | ~ spl0_86
    | ~ spl0_35
    | ~ spl0_70
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_30
    | ~ spl0_8
    | spl0_5 ),
    inference(rat,[],[s1580,s2219,s927,s1424,s1834,s2045]) ).

cnf(s2421,plain,
    ( spl0_143
    | spl0_37
    | ~ spl0_73
    | ~ spl0_252
    | ~ spl0_192
    | spl0_147
    | ~ spl0_264
    | ~ spl0_50
    | spl0_28
    | ~ spl0_30 ),
    inference(rat,[],[s2080,s1578,s1922,s1422,s1298,s2340,s2344,s573,s2059,s930,s845,s357]) ).

cnf(s2422,plain,
    ( spl0_37
    | ~ spl0_73
    | ~ spl0_252
    | ~ spl0_64
    | ~ spl0_192
    | spl0_147
    | ~ spl0_264
    | ~ spl0_50
    | ~ spl0_114
    | ~ spl0_54
    | spl0_28
    | ~ spl0_35
    | ~ spl0_25
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1534,s447,s1822,s709,s1422,s711,s1432,s1119,s2421,s440]) ).

cnf(s2423,plain,
    ( ~ spl0_54
    | spl0_24
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1765,s2422,s2136,s1481,s2061,s1580,s1000,s772,s1500,s923,s749,s1159,s2356,s1237,s2420,s49,s690,s722,s1425,s2000,s1905,s7,s167,s2319,s2393,s18,s161,s33,s1444,s2014,s1325,s668,s2419,s440,s357]) ).

cnf(s2424,plain,
    ( spl0_24
    | ~ spl0_20
    | ~ spl0_178
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2229,s772,s923,s1159,s1237,s2420,s49,s610,s690,s2136,s687,s188,s2423,s1444,s2014,s33,s1905,s7,s167,s2319,s2393,s18,s161,s1325,s668,s2419,s440,s357]) ).

cnf(s2425,plain,
    ( ~ spl0_24
    | ~ spl0_178
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s923,s1580,s2333,s2219,s1424,s944,s1328,s2071,s690,s1808,s1216,s618,s230,s864,s1481,s22,s589,s1775,s1923,s7,s167,s2319,s2393]) ).

cnf(s2426,plain,
    ( ~ spl0_51
    | ~ spl0_37
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s132,s270,s2412,s610,s1784,s161,s167,s2319,s2393,s1444,s1450,s1905,s7,s357]) ).

cnf(s2427,plain,
    ( ~ spl0_219
    | ~ spl0_22
    | ~ spl0_114
    | ~ spl0_50 ),
    inference(rat,[],[s1433,s1333,s1381]) ).

cnf(s2428,plain,
    ( spl0_218
    | ~ spl0_25
    | ~ spl0_37
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1430,s1765,s749,s1000,s2356,s1237,s698,s808,s1450]) ).

cnf(s2429,plain,
    ( ~ spl0_277
    | spl0_249
    | ~ spl0_70
    | spl0_28
    | ~ spl0_35
    | ~ spl0_8 ),
    inference(rat,[],[s749,s1430,s2333,s927,s1424]) ).

cnf(s2430,plain,
    ( ~ spl0_54
    | ~ spl0_50
    | ~ spl0_25
    | ~ spl0_37
    | ~ spl0_35
    | ~ spl0_178
    | ~ spl0_30
    | spl0_58
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s1430,s1765,s749,s2356,s1237,s1834,s2429,s1000,s668,s1433,s2427,s1333,s1330,s690,s1425,s2000,s1450,s2428]) ).

cnf(s2431,plain,
    ( ~ spl0_178
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1580,s1765,s2219,s2015,s1424,s1834,s1159,s767,s2229,s923,s922,s1333,s690,s874,s2136,s687,s188,s2430,s2428,s49,s2426,s1444,s1450,s17,s614,s2424,s33,s2425,s1905,s7,s161,s167,s2319,s2393,s357]) ).

cnf(s2432,plain,
    ( spl0_143
    | ~ spl0_192
    | ~ spl0_86
    | ~ spl0_50
    | spl0_28
    | ~ spl0_70
    | spl0_64
    | spl0_147
    | spl0_37
    | ~ spl0_35
    | ~ spl0_186
    | ~ spl0_179
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1168,s2080,s1435,s2209,s1092,s447,s2406,s1297,s1144,s2344,s573,s2059,s930,s845,s440,s357]) ).

cnf(s2433,plain,
    ( spl0_187
    | ~ spl0_54
    | spl0_37
    | ~ spl0_20
    | spl0_24
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s447,s1534,s2210,s1822,s1422,s711,s1432,s1119,s2432,s772,s1433,s1333,s690,s49,s2014,s1425,s722,s1325,s18,s668,s2128,s928,s2015,s2219,s1500,s1580,s2126,s2045,s808,s1905,s7,s161,s2319,s2393,s2240,s2000,s167,s1536,s33,s716,s2431,s440,s357]) ).

cnf(s2434,plain,
    ( ~ spl0_54
    | spl0_37
    | ~ spl0_20
    | spl0_24
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1179,s1733,s610,s1785,s155,s2389,s668,s1325,s2014,s1430,s1000,s1501,s749,s2173,s2356,s1237,s1239,s2433,s1536,s1169,s1905,s7,s2319,s2393,s716,s2431,s33,s357]) ).

cnf(s2435,plain,
    ( ~ spl0_143
    | spl0_219
    | ~ spl0_218
    | spl0_259
    | ~ spl0_25
    | ~ spl0_35 ),
    inference(rat,[],[s1118,s573,s1119,s1299,s357]) ).

cnf(s2437,plain,
    ( ~ spl0_143
    | spl0_187
    | spl0_259
    | ~ spl0_114
    | ~ spl0_25
    | ~ spl0_50
    | spl0_37
    | ~ spl0_35 ),
    inference(rat,[],[s2164,s574,s1298,s1936,s2007,s1822,s1333,s1422,s711,s2435,s1432,s1119,s1481,s808,s357]) ).

cnf(s2438,plain,
    ( ~ spl0_183
    | spl0_240
    | ~ spl0_252
    | spl0_28
    | ~ spl0_50
    | spl0_37
    | ~ spl0_186
    | ~ spl0_4 ),
    inference(rat,[],[s2406,s1298,s1144,s2344]) ).

cnf(s2439,plain,
    ( spl0_187
    | ~ spl0_139
    | spl0_259
    | ~ spl0_114
    | spl0_28
    | ~ spl0_25
    | ~ spl0_50
    | spl0_224
    | ~ spl0_86
    | ~ spl0_73
    | spl0_37
    | ~ spl0_35
    | ~ spl0_186
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s2080,s1578,s1978,s1952,s574,s1191,s1380,s1433,s767,s2406,s2059,s1115,s573,s2438,s930,s2437,s1019,s923,s1444,s1481,s845,s357,s319]) ).

cnf(s2440,plain,
    ( spl0_37
    | ~ spl0_20
    | spl0_24
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1130,s447,s2225,s726,s709,s1975,s1422,s711,s573,s1432,s1119,s1299,s2421,s1000,s772,s1159,s2356,s2439,s944,s927,s1481,s1580,s923,s1444,s1353,s1733,s1352,s2067,s1247,s2127,s749,s49,s2333,s2219,s610,s2125,s690,s928,s2136,s687,s188,s577,s2434,s1905,s7,s161,s2319,s2393,s2240,s716,s2431,s167,s33,s440,s357,s319]) ).

cnf(s2442,plain,
    ( spl0_143
    | ~ spl0_192
    | spl0_100
    | ~ spl0_252
    | spl0_147
    | ~ spl0_50
    | spl0_28
    | ~ spl0_186
    | ~ spl0_179
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1168,s711,s2080,s2210,s1922,s447,s1298,s1297,s1144,s2344,s573,s2059,s930,s845,s440,s357]) ).

cnf(s2443,plain,
    ( spl0_141
    | ~ spl0_114
    | ~ spl0_64
    | spl0_259
    | spl0_147
    | ~ spl0_50
    | spl0_28
    | ~ spl0_25
    | ~ spl0_35
    | ~ spl0_186
    | ~ spl0_179
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1130,s447,s2225,s726,s709,s1975,s1422,s711,s573,s1432,s1119,s1299,s2442,s1000,s772,s1481,s687,s749,s2333,s928,s440,s357]) ).

cnf(s2444,plain,
    ( spl0_226
    | spl0_231
    | spl0_219
    | ~ spl0_64
    | ~ spl0_218
    | ~ spl0_179
    | ~ spl0_4 ),
    inference(rat,[],[s1297,s2344,s447,s573,s709,s1118,s711,s440,s357]) ).

cnf(s2445,plain,
    ( ~ spl0_226
    | spl0_240
    | ~ spl0_37
    | ~ spl0_4 ),
    inference(rat,[],[s1922,s1763,s2080,s2355,s1168,s1450,s845]) ).

cnf(s2446,plain,
    ( spl0_259
    | spl0_147
    | ~ spl0_50
    | ~ spl0_37
    | ~ spl0_20
    | spl0_24
    | ~ spl0_179
    | ~ spl0_30
    | ~ spl0_14
    | ~ spl0_4 ),
    inference(rat,[],[s1144,s573,s2444,s1118,s2445,s930,s2435,s1333,s1433,s2443,s1353,s1352,s1247,s2125,s687,s188,s577,s1536,s2240,s167,s33,s1450,s2428,s1222,s357,s319]) ).

cnf(s2447,plain,
    ( spl0_143
    | ~ spl0_192
    | spl0_100
    | spl0_147
    | ~ spl0_50
    | ~ spl0_37
    | ~ spl0_186
    | ~ spl0_179
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s447,s1297,s2210,s1144,s2344,s711,s573,s2445,s2059,s930,s440,s357]) ).

cnf(s2448,plain,
    ( spl0_141
    | spl0_100
    | ~ spl0_114
    | ~ spl0_259
    | spl0_147
    | spl0_187
    | ~ spl0_50
    | ~ spl0_25
    | ~ spl0_37
    | ~ spl0_186
    | ~ spl0_179
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1297,s2164,s447,s574,s2210,s2007,s1422,s711,s1432,s1119,s2447,s717,s2212,s1430,s1000,s772,s1450,s440,s357,s517]) ).

cnf(s2449,plain,
    ( spl0_187
    | ~ spl0_50
    | ~ spl0_37
    | ~ spl0_20
    | spl0_24
    | ~ spl0_179
    | ~ spl0_30
    | ~ spl0_14
    | ~ spl0_9 ),
    inference(rat,[],[s2173,s718,s2448,s1425,s1169,s2000,s188,s928,s2219,s1580,s2446,s2045,s1905,s7,s2240,s167,s1222]) ).

cnf(s2450,plain,
    ( ~ spl0_20
    | spl0_24
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1430,s1000,s1765,s749,s1159,s2356,s1237,s2449,s49,s2426,s1450,s1222,s2440,s1905,s7,s2319,s2393,s716,s2431,s357]) ).

cnf(s2451,plain,
    ( spl0_141
    | ~ spl0_139
    | ~ spl0_64
    | spl0_259
    | ~ spl0_50
    | spl0_28
    | ~ spl0_25
    | ~ spl0_35
    | ~ spl0_186
    | ~ spl0_179
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1130,s447,s2225,s726,s709,s1975,s1115,s711,s573,s1119,s1299,s2442,s1000,s772,s1481,s687,s749,s923,s2333,s928,s1444,s440,s357]) ).

cnf(s2452,plain,
    ( spl0_231
    | ~ spl0_232
    | spl0_188
    | ~ spl0_64
    | spl0_187
    | ~ spl0_179
    | ~ spl0_4 ),
    inference(rat,[],[s2164,s1297,s574,s447,s2007,s709,s357,s440]) ).

cnf(s2453,plain,
    ( ~ spl0_231
    | ~ spl0_139
    | ~ spl0_50
    | ~ spl0_186 ),
    inference(rat,[],[s573,s1144,s1115,s357]) ).

cnf(s2454,plain,
    ( ~ spl0_226
    | ~ spl0_25
    | ~ spl0_37
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s930,s2445,s1119]) ).

cnf(s2455,plain,
    ( ~ spl0_224
    | spl0_100
    | spl0_187
    | ~ spl0_232
    | ~ spl0_50
    | ~ spl0_186
    | ~ spl0_179
    | ~ spl0_8 ),
    inference(rat,[],[s1297,s2164,s447,s574,s2210,s2007,s2453,s944,s1424,s717,s2333,s440,s357]) ).

cnf(s2456,plain,
    ( ~ spl0_54
    | spl0_187
    | ~ spl0_50
    | ~ spl0_25
    | ~ spl0_37
    | ~ spl0_35
    | ~ spl0_179
    | ~ spl0_30
    | spl0_58
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s2173,s718,s2448,s923,s2455,s1425,s1536,s1169,s2000,s2240,s1444,s1450,s711,s2454,s357]) ).

cnf(s2457,plain,
    ( spl0_187
    | spl0_24
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2452,s718,s2453,s2451,s944,s2015,s1765,s1580,s923,s2219,s2455,s928,s687,s188,s2456,s161,s2240,s716,s2431,s167,s33,s1444,s1450,s49,s2426,s711,s2454,s17,s614,s2450,s2319,s2393,s1905,s7,s357]) ).

cnf(s2458,plain,
    ( spl0_24
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1580,s1765,s1500,s923,s2356,s1237,s2457,s1444,s1450,s614,s2450,s1905,s7,s2319,s2393,s357]) ).

cnf(s2459,plain,
    ( spl0_187
    | ~ spl0_89
    | ~ spl0_259
    | ~ spl0_20
    | ~ spl0_15
    | spl0_28
    | spl0_37
    | ~ spl0_179
    | ~ spl0_30
    | ~ spl0_14
    | spl0_26
    | ~ spl0_9 ),
    inference(rat,[],[s1430,s749,s1000,s922,s1433,s1333,s49,s1785,s722,s618,s2000,s668,s132,s188,s2128,s928,s2015,s2219,s1500,s1580,s2126,s2045,s808,s7,s167]) ).

cnf(s2460,plain,
    ( ~ spl0_14
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1580,s1500,s923,s2356,s1237,s2459,s230,s1481,s19,s22,s37,s589,s1775,s1923,s2458,s716,s2431,s2319,s2393,s1905,s7,s161,s357]) ).

cnf(s2461,plain,
    ( ~ spl0_178
    | ~ spl0_114
    | ~ spl0_56
    | spl0_64
    | spl0_137
    | ~ spl0_35
    | ~ spl0_218
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2385,s2372,s2228,s579,s1381,s1018,s2401,s2175,s2013,s7,s18,s1342,s161,s357]) ).

cnf(s2462,plain,
    ( ~ spl0_56
    | spl0_64
    | spl0_259
    | spl0_24
    | ~ spl0_218
    | ~ spl0_16
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1505,s1381,s203,s1121,s156,s573,s189,s2344,s2076,s1298,s232,s1451,s240,s2355,s2218,s2341,s1136,s577,s2358,s2390,s716,s2461,s1353,s208,s1352,s619,s2378,s2460,s614,s2013,s7,s18,s1342,s161,s33,s868,s1214,s2083,s1481,s1227,s357,s319,s440]) ).

cnf(s2463,plain,
    ( ~ spl0_46
    | ~ spl0_35
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1808,s1455,s1179,s610,s257,s1216,s1785,s7,s18,s1342,s161]) ).

cnf(s2464,plain,
    ( ~ spl0_64
    | ~ spl0_29
    | spl0_37
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s49,s2127,s610,s577,s690,s2136,s582,s687,s1241,s1325,s319]) ).

cnf(s2465,plain,
    ( ~ spl0_259
    | spl0_187
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1500,s2015,s734,s2128,s1412,s161,s2378,s2460]) ).

cnf(s2466,plain,
    ( spl0_187
    | ~ spl0_16
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2329,s2463,s2462,s33,s1923,s1481,s2465,s808,s614,s18,s1342,s161,s2464,s2013,s1905,s7]) ).

cnf(s2467,plain,
    ( ~ spl0_54
    | ~ spl0_35
    | ~ spl0_193
    | ~ spl0_16
    | ~ spl0_20
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2385,s2372,s716,s1169,s1223,s155,s2463,s357]) ).

cnf(s2468,plain,
    ( spl0_58
    | ~ spl0_16
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s716,s2353,s2229,s2341,s772,s240,s923,s1505,s232,s2361,s203,s2125,s159,s2339,s189,s18,s1342,s161,s2464,s2013,s749,s1237,s1905,s7,s208,s619,s155,s2463,s868,s577,s2467,s33,s2083,s1923,s1481,s1412,s2103,s1500,s2356,s2466,s2378,s2460,s614,s357,s440,s319,s517]) ).

cnf(s2469,plain,
    ( ~ spl0_16
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2195,s2341,s1290,s240,s2369,s232,s447,s2076,s2233,s2468,s577,s2467,s1353,s1352,s619,s155,s2463,s33,s2083,s1923,s1481,s1412,s2103,s1500,s2356,s2466,s2464,s2013,s1905,s7,s161,s2378,s2460,s614,s440,s319,s357,s517]) ).

cnf(s2470,plain,
    ( ~ spl0_22
    | spl0_28
    | spl0_141
    | ~ spl0_178
    | ~ spl0_54
    | ~ spl0_218
    | spl0_64
    | ~ spl0_35
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1216,s1808,s155,s1828,s2408,s1381,s1905,s7,s614,s2319,s2469,s2000,s1223]) ).

cnf(s2471,plain,
    ( spl0_141
    | ~ spl0_178
    | ~ spl0_54
    | spl0_259
    | spl0_187
    | spl0_64
    | ~ spl0_35
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1834,s690,s49,s1425,s722,s18,s668,s2470,s1424,s1824,s2333,s2212,s2061,s1000,s161,s2319,s2469,s808,s2000,s1223,s517]) ).

cnf(s2472,plain,
    ( ~ spl0_28
    | ~ spl0_141
    | ~ spl0_178
    | ~ spl0_114
    | spl0_58
    | spl0_64
    | spl0_24
    | ~ spl0_20
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1179,s1808,s1733,s610,s1216,s1785,s155,s668,s2401,s1325,s2014,s7]) ).

cnf(s2473,plain,
    ( ~ spl0_100
    | spl0_28
    | ~ spl0_178
    | ~ spl0_54
    | spl0_64
    | ~ spl0_35
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2329,s2408,s1216,s18,s1808,s1425,s1905,s7,s161,s614,s2319,s2469,s2000,s1223]) ).

cnf(s2474,plain,
    ( ~ spl0_54
    | spl0_259
    | spl0_187
    | spl0_64
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2408,s155,s668,s1216,s722,s1784,s49,s1333,s1828,s2473,s2472,s1433,s2471,s716,s2000,s1169,s1223,s1905,s7,s161,s614,s2319,s2469,s33,s808,s2083,s1481,s357]) ).

cnf(s2475,plain,
    ( ~ spl0_29
    | spl0_102
    | ~ spl0_80
    | spl0_54
    | ~ spl0_35
    | ~ spl0_20
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1784,s1216,s1769,s155,s688,s619,s668,s203,s1325,s161,s2378,s2460]) ).

cnf(s2476,plain,
    ( ~ spl0_178
    | spl0_58
    | spl0_54
    | spl0_187
    | spl0_64
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1333,s1828,s49,s1808,s610,s1216,s1785,s155,s1465,s1427,s132,s1921,s1444,s2014,s2475,s1505,s767,s2229,s7,s33,s808,s2045,s614,s577,s156,s1337,s2319,s2469,s1227,s357,s440,s319]) ).

cnf(s2477,plain,
    ( ~ spl0_28
    | ~ spl0_192
    | ~ spl0_80
    | spl0_54
    | ~ spl0_252
    | spl0_147
    | spl0_24
    | ~ spl0_20
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1298,s1521,s2344,s2142,s573,s2363,s1573,s668,s2475,s1325,s2014,s161,s2378,s2460,s33,s845,s357]) ).

cnf(s2478,plain,
    ( ~ spl0_192
    | spl0_58
    | spl0_259
    | spl0_187
    | spl0_64
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2067,s2437,s2127,s2442,s690,s49,s1808,s610,s1216,s1785,s155,s1353,s1465,s1352,s132,s1921,s1444,s2477,s1905,s7,s161,s33,s2045,s614,s1481,s577,s156,s1337,s2319,s2469,s1227,s2240,s716,s2476,s2474,s357,s440,s319]) ).

cnf(s2480,plain,
    ( ~ spl0_173
    | spl0_145
    | ~ spl0_349
    | ~ spl0_234
    | ~ spl0_278
    | spl0_28
    | spl0_259
    | ~ spl0_35
    | ~ spl0_30 ),
    inference(rat,[],[s1287,s1648,s453,s999,s1058,s1020,s960,s800,s996,s1723,s319]) ).

cnf(s2481,plain,
    ( spl0_58
    | spl0_259
    | spl0_187
    | spl0_64
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s449,s1024,s1020,s1611,s960,s1603,s2147,s1264,s995,s986,s446,s2480,s1003,s1168,s1952,s711,s1764,s573,s2455,s2333,s2406,s2438,s2439,s2453,s930,s1107,s944,s2437,s927,s2067,s2127,s1019,s1333,s690,s49,s1808,s610,s1216,s1785,s155,s1191,s1353,s1465,s1427,s1352,s132,s1921,s1444,s2014,s2475,s1505,s767,s2478,s2240,s716,s2476,s1905,s7,s161,s614,s33,s808,s1481,s577,s156,s1337,s2474,s2319,s2469,s1227,s319,s440,s357,s823]) ).

cnf(s2482,plain,
    ( spl0_259
    | spl0_187
    | spl0_64
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2210,s711,s1422,s1168,s1003,s1004,s2171,s1107,s2437,s1444,s1353,s2067,s1733,s1352,s2127,s1247,s49,s610,s1785,s155,s1806,s690,s447,s2076,s1455,s2233,s2481,s577,s2474,s1905,s7,s161,s591,s2469,s614,s33,s823,s357,s440,s319]) ).

cnf(s2483,plain,
    ( ~ spl0_54
    | spl0_28
    | ~ spl0_259
    | spl0_187
    | spl0_64
    | ~ spl0_35
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2455,s711,s2212,s1119,s1430,s2432,s1000,s772,s716,s1433,s2232,s1936,s2420,s1333,s49,s722,s690,s2000,s1425,s1223,s1905,s7,s2319,s2469,s2045,s2126,s808,s668,s18,s2465,s614,s161,s517,s440,s357]) ).

cnf(s2484,plain,
    ( spl0_187
    | spl0_64
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1216,s155,s1808,s1465,s2076,s196,s577,s2483,s132,s14,s1444,s1493,s2014,s944,s1325,s2015,s668,s1500,s2465,s1580,s2482,s2045,s161,s614,s2319,s2469,s33,s319,s357]) ).

cnf(s2485,plain,
    ( ~ spl0_54
    | spl0_64
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1810,s610,s2415,s1785,s2473,s18,s155,s2472,s1159,s2403,s1000,s2061,s716,s2000,s1536,s1223,s161,s614,s2319,s2469,s33,s749,s1237,s1905,s7,s1412,s2103,s1500,s2356,s2484,s2378,s2460,s357,s517]) ).

cnf(s2486,plain,
    ( ~ spl0_28
    | spl0_64
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1976,s573,s1294,s2340,s2142,s772,s1431,s2363,s1482,s1505,s668,s2475,s1325,s2014,s161,s614,s33,s1481,s1412,s2103,s1500,s2356,s2484,s2378,s2460,s156,s1337,s2485,s2319,s2469,s1227,s357,s845,s440,s517]) ).

cnf(s2487,plain,
    ( ~ spl0_174
    | spl0_238
    | ~ spl0_236
    | ~ spl0_239
    | spl0_249
    | ~ spl0_192
    | ~ spl0_114
    | spl0_147
    | ~ spl0_140 ),
    inference(rat,[],[s453,s1652,s1128,s1699,s982,s990,s319]) ).

cnf(s2488,plain,
    ( spl0_64
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s999,s960,s1302,s449,s1128,s1614,s453,s1633,s1020,s1620,s1051,s1728,s800,s446,s2487,s2232,s1289,s2225,s726,s2259,s690,s1975,s1952,s1501,s2243,s573,s716,s1119,s1432,s1299,s2229,s2421,s1018,s1000,s772,s1159,s2067,s1929,s1303,s49,s610,s1785,s155,s1353,s1465,s1352,s923,s132,s1921,s1444,s2486,s1337,s577,s2485,s1481,s1412,s2103,s1500,s749,s2356,s1237,s1239,s2484,s1227,s1905,s7,s161,s2378,s2460,s2319,s2469,s33,s319,s440,s1081,s357,s517]) ).

cnf(s2489,plain,
    ( ~ spl0_178
    | ~ spl0_114
    | spl0_187
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s527,s2427,s2420,s874,s614,s2319,s2469,s33,s690,s687,s1905,s7,s49,s610,s2136,s1241,s2488,s808]) ).

cnf(s2490,plain,
    ( ~ spl0_54
    | spl0_187
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2219,s1580,s928,s1536,s716,s2489,s2000,s7,s2319,s2469,s33,s1241,s2488,s2045,s614,s357]) ).

cnf(s2491,plain,
    ( spl0_187
    | spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s944,s2439,s927,s1580,s2333,s2219,s2240,s928,s1353,s716,s1352,s2420,s2067,s1247,s2127,s2125,s577,s2490,s2045,s161,s614,s2319,s2469,s33,s690,s687,s2014,s2464,s1905,s7,s49,s610,s2136,s1241,s2488,s357,s319]) ).

cnf(s2492,plain,
    ( spl0_141
    | ~ spl0_114
    | spl0_259
    | spl0_147
    | ~ spl0_140
    | ~ spl0_264
    | ~ spl0_50
    | spl0_28
    | ~ spl0_64
    | ~ spl0_35
    | ~ spl0_30
    | spl0_37
    | ~ spl0_4 ),
    inference(rat,[],[s447,s2210,s1130,s711,s2225,s1168,s726,s1975,s1422,s573,s1432,s1299,s2421,s1000,s772,s687,s2136,s1241,s1481,s440,s357]) ).

cnf(s2493,plain,
    ( ~ spl0_54
    | ~ spl0_187
    | spl0_28
    | spl0_51
    | ~ spl0_64
    | ~ spl0_35
    | ~ spl0_30
    | spl0_37
    | spl0_26
    | ~ spl0_9 ),
    inference(rat,[],[s1168,s1975,s1289,s1970,s1977,s574,s2142,s1605,s1136,s2218,s1035,s1645,s2243,s573,s1432,s1299,s2416,s18,s1433,s1159,s2492,s1810,s716,s1536,s2000,s1241,s690,s687,s49,s749,s1580,s1500,s2356,s923,s1237,s1905,s7,s1444,s357,s845,s1081]) ).

cnf(s2494,plain,
    ( spl0_24
    | spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2492,s1353,s1159,s1352,s2067,s1247,s2127,s2125,s577,s2493,s1580,s1500,s923,s749,s2356,s1237,s2491,s1444,s49,s2014,s610,s690,s2464,s2136,s687,s1241,s2488,s33,s1905,s7,s161,s614,s2319,s2469,s357,s319]) ).

cnf(s2495,plain,
    ( spl0_37
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s327,s37,s1775,s2494,s2319,s2469,s2460]) ).

cnf(s2496,plain,
    ( ~ spl0_54
    | spl0_58
    | spl0_187
    | ~ spl0_25
    | ~ spl0_37
    | ~ spl0_35
    | ~ spl0_50
    | ~ spl0_30
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(rat,[],[s716,s2430,s2456,s357]) ).

cnf(s2497,plain,
    ( ~ spl0_54
    | ~ spl0_50
    | spl0_187
    | ~ spl0_30
    | ~ spl0_37
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s2496,s1223,s1222,s33,s589]) ).

cnf(s2498,plain,
    ( spl0_58
    | spl0_277
    | ~ spl0_50
    | spl0_98
    | spl0_187
    | spl0_226
    | ~ spl0_218 ),
    inference(rat,[],[s573,s1118,s2344,s1332,s1297,s2118,s574,s447,s2007,s2210,s2453,s2240,s716,s1834,s690,s1808,s711,s944,s357,s440]) ).

cnf(s2499,plain,
    ( ~ spl0_58
    | ~ spl0_73
    | ~ spl0_70
    | ~ spl0_50
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1833,s1136,s1003,s1092,s2218,s1422,s1435,s2210,s690,s447,s1455,s2233,s161,s33,s1444,s1450,s711,s2454,s2319,s1342,s1222,s589,s2495,s1905,s7,s440,s357]) ).

cnf(s2500,plain,
    ( spl0_64
    | spl0_187
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s2103,s1412,s2219,s927,s1424,s2498,s2499,s1785,s1929,s155,s1303,s1465,s577,s2497,s49,s1784,s2412,s132,s1227,s161,s2378,s2460,s33,s1444,s1450,s2428,s2454,s2319,s1342,s1222,s589,s2495,s1905,s7,s517,s319,s440,s357]) ).

cnf(s2501,plain,
    ( ~ spl0_98
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s619,s155,s1823,s1216,s2378,s2460,s2495]) ).

cnf(s2502,plain,
    ( ~ spl0_277
    | ~ spl0_30
    | ~ spl0_15
    | ~ spl0_37
    | ~ spl0_8
    | spl0_5 ),
    inference(rat,[],[s923,s1580,s1765,s2333,s2219,s2015,s1424,s161]) ).

cnf(s2503,plain,
    ( spl0_187
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1241,s2498,s2500,s2428,s2454,s49,s1784,s2501,s161,s2502,s2319,s1342,s1222,s589,s1444,s1450,s1905,s2495,s7,s357]) ).

cnf(s2504,plain,
    ( ~ spl0_8
    | ~ spl0_9 ),
    inference(rat,[],[s1580,s1765,s1500,s923,s2356,s1237,s2503,s2319,s1444,s1342,s1450,s1222,s589,s2495,s1905,s7,s357]) ).

cnf(s2505,plain,
    ( ~ spl0_54
    | ~ spl0_56
    | spl0_242
    | ~ spl0_22
    | ~ spl0_51
    | spl0_137
    | spl0_259
    | spl0_64
    | ~ spl0_28
    | ~ spl0_29
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_4 ),
    inference(rat,[],[s2232,s1936,s1201,s1920,s2371,s2061,s716,s1536,s749,s2333,s1824,s162,s357]) ).

cnf(s2506,plain,
    ( ~ spl0_51
    | spl0_259
    | spl0_64
    | spl0_58
    | ~ spl0_119
    | ~ spl0_28
    | spl0_25
    | ~ spl0_29
    | spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s1063,s1121,s2238,s573,s1290,s2348,s2195,s447,s2241,s1060,s1384,s2188,s574,s2232,s718,s1970,s1920,s767,s2175,s2061,s2229,s716,s2358,s577,s2505,s155,s1216,s2142,s1784,s2341,s18,s162,s1905,s808,s2045,s614,s1227,s2219,s7,s749,s701,s2333,s1824,s9,s2504,s357,s440,s319,s845]) ).

cnf(s2507,plain,
    ( ~ spl0_178
    | spl0_188
    | ~ spl0_304
    | ~ spl0_183
    | ~ spl0_173
    | ~ spl0_56
    | spl0_51
    | ~ spl0_140
    | spl0_64
    | ~ spl0_6 ),
    inference(rat,[],[s2243,s1281,s1647,s2232,s1650,s1920,s1646,s2061,s1810,s453,s1296,s2344,s1081,s319]) ).

cnf(s2508,plain,
    ( spl0_259
    | spl0_64
    | spl0_58
    | ~ spl0_119
    | ~ spl0_19
    | ~ spl0_16
    | spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s1599,s43,s447,s577,s1297,s1536,s716,s2507,s1240,s448,s938,s1262,s214,s2116,s1639,s2211,s944,s2193,s1400,s1058,s1035,s453,s1960,s449,s1296,s1298,s1653,s2344,s794,s996,s573,s446,s2059,s990,s1107,s772,s1419,s1482,s1505,s203,s156,s189,s155,s208,s257,s1447,s1247,s49,s2506,s749,s868,s2333,s2219,s1824,s1481,s4,s2045,s614,s2013,s7,s1342,s526,s9,s1340,s2504,s1227,s440,s319,s357,s905,s823]) ).

cnf(s2509,plain,
    ( spl0_22
    | spl0_25 ),
    inference(rat,[],[s1177,s18,s668]) ).

cnf(s2510,plain,
    ( ~ spl0_64
    | ~ spl0_22
    | ~ spl0_28
    | ~ spl0_29
    | ~ spl0_4 ),
    inference(rat,[],[s1888,s2359,s582]) ).

cnf(s2511,plain,
    ( ~ spl0_219
    | ~ spl0_22
    | ~ spl0_29
    | ~ spl0_6 ),
    inference(rat,[],[s1805,s1381,s701]) ).

cnf(s2512,plain,
    ( ~ spl0_16
    | spl0_187
    | spl0_37
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s2355,s1136,s711,s2195,s2210,s1290,s1431,s2369,s1353,s155,s1352,s1785,s2071,s174,s577,s690,s447,s1223,s1455,s2233,s2508,s2126,s2511,s2088,s2510,s2509,s240,s232,s526,s14,s366,s1342,s2013,s1905,s7,s9,s2504,s33,s20,s614,s1980,s808,s357,s319,s440]) ).

cnf(s2513,plain,
    ( ~ spl0_28
    | ~ spl0_54
    | ~ spl0_22
    | spl0_58
    | spl0_64
    | spl0_259
    | ~ spl0_30
    | ~ spl0_218
    | spl0_24
    | ~ spl0_9 ),
    inference(rat,[],[s2329,s2403,s1216,s2061,s1808,s749,s1828,s2333,s2511,s1824,s2014,s9,s2504,s2000,s716,s1536,s33,s357]) ).

cnf(s2514,plain,
    ( ~ spl0_70
    | spl0_25 ),
    inference(rat,[],[s2067,s1177]) ).

cnf(s2515,plain,
    ( spl0_28
    | spl0_70
    | spl0_38
    | ~ spl0_20
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s367,s1839,s14,s605,s526,s1826,s7,s9,s2504,s357]) ).

cnf(s2516,plain,
    ( spl0_25
    | spl0_58
    | spl0_64
    | spl0_259
    | spl0_187
    | spl0_37
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s2403,s2061,s1353,s716,s1352,s2358,s619,s155,s1216,s2363,s1784,s162,s49,s28,s1145,s749,s188,s577,s2333,s2219,s2513,s1824,s2014,s2515,s2514,s2509,s7,s4,s2504,s33,s20,s614,s1980,s808,s2319,s2512,s1227,s357,s319,s440]) ).

cnf(s2517,plain,
    ( ~ spl0_54
    | ~ spl0_25
    | spl0_58
    | spl0_64
    | spl0_259
    | spl0_187
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s1834,s49,s927,s722,s1842,s605,s1173,s690,s716,s1425,s1536,s2000,s9,s2504,s440,s357]) ).

cnf(s2518,plain,
    ( spl0_54
    | spl0_64
    | spl0_259
    | spl0_16
    | spl0_37
    | spl0_24
    | ~ spl0_9 ),
    inference(rat,[],[s2061,s716,s749,s2358,s2333,s2219,s2363,s2403,s1824,s2014,s668,s1353,s1444,s177,s1352,s132,s619,s1465,s155,s1216,s1784,s162,s49,s28,s1145,s188,s577,s7,s4,s2504,s33,s614,s2319,s1227,s357,s319,s440]) ).

cnf(s2519,plain,
    ( spl0_64
    | spl0_259
    | spl0_187
    | spl0_37
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s2516,s2517,s1223,s2518,s33,s20,s2512]) ).

cnf(s2520,plain,
    ( spl0_25
    | ~ spl0_64
    | spl0_38
    | ~ spl0_20
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s2510,s2014,s2515,s2514,s2509,s1905,s7,s20]) ).

cnf(s2521,plain,
    ( ~ spl0_54
    | ~ spl0_64
    | spl0_259
    | spl0_187
    | ~ spl0_20
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s1834,s49,s927,s722,s2515,s716,s2014,s1536,s2000,s582,s33,s20,s1980,s1241,s690,s687,s1905,s7,s357]) ).

cnf(s2522,plain,
    ( spl0_259
    | spl0_187
    | spl0_37
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s1784,s1177,s49,s668,s1247,s2510,s1216,s1733,s2014,s155,s526,s1806,s2125,s577,s2521,s2136,s687,s1241,s2519,s1905,s7,s9,s2504,s20,s591,s2512,s614,s319,s357]) ).

cnf(s2523,plain,
    ( spl0_25
    | ~ spl0_219
    | spl0_38
    | ~ spl0_20
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s2014,s2515,s2511,s2514,s2509,s9,s2504,s20]) ).

cnf(s2524,plain,
    ( ~ spl0_29
    | spl0_264
    | ~ spl0_219
    | ~ spl0_259
    | spl0_38
    | ~ spl0_20
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(rat,[],[s2015,s944,s1177,s1493,s668,s14,s2511,s366]) ).

cnf(s2525,plain,
    ( ~ spl0_54
    | spl0_58
    | spl0_64
    | spl0_277
    | ~ spl0_70
    | spl0_28
    | ~ spl0_25
    | ~ spl0_219
    | ~ spl0_30
    | spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s2432,s772,s1119,s716,s1433,s2232,s2498,s1834,s1333,s1841,s49,s690,s722,s1425,s2000,s1905,s7,s808,s2045,s717,s701,s605,s1826,s9,s2504,s614,s440,s357]) ).

cnf(s2526,plain,
    ( spl0_54
    | ~ spl0_81
    | ~ spl0_70
    | spl0_28
    | spl0_16
    | ~ spl0_35
    | ~ spl0_7 ),
    inference(rat,[],[s177,s49,s1921,s1145,s1337,s577,s2319,s319]) ).

cnf(s2527,plain,
    ( spl0_64
    | spl0_277
    | ~ spl0_70
    | spl0_28
    | ~ spl0_25
    | ~ spl0_219
    | spl0_16
    | spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s2525,s1223,s2526,s1227,s4,s2504,s2319,s440]) ).

cnf(s2528,plain,
    ( spl0_187
    | spl0_37
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s49,s722,s1333,s2000,s922,s196,s2136,s687,s1241,s2527,s2015,s1177,s14,s2515,s526,s2014,s2524,s2523,s1500,s701,s1580,s2126,s2522,s2319,s2512,s2045,s808,s1980,s1905,s7,s9,s2504,s33,s20,s614]) ).

cnf(s2529,plain,
    ( ~ spl0_56
    | ~ spl0_178
    | ~ spl0_114
    | spl0_58
    | ~ spl0_29
    | ~ spl0_28
    | ~ spl0_22
    | spl0_64
    | ~ spl0_252
    | ~ spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s1822,s711,s2060,s2355,s2237,s1136,s2142,s1976,s573,s2340,s1294,s1431,s1482,s203,s2071,s690,s772,s1808,s2401,s2368,s1905,s7,s2088,s9,s2504,s156,s1331,s2103,s1500,s2356,s1227,s845,s357,s440,s517]) ).

cnf(s2530,plain,
    ( ~ spl0_46
    | spl0_58
    | ~ spl0_28
    | spl0_87
    | spl0_37
    | ~ spl0_9 ),
    inference(rat,[],[s690,s1808,s174,s1216,s1785,s7]) ).

cnf(s2531,plain,
    ( ~ spl0_54
    | spl0_58
    | ~ spl0_29
    | ~ spl0_28
    | ~ spl0_22
    | spl0_64
    | spl0_259
    | ~ spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s716,s2529,s1536,s2000,s1481,s155,s2530,s2088,s9,s2504,s357]) ).

cnf(s2532,plain,
    ( spl0_26
    | spl0_58
    | ~ spl0_28
    | ~ spl0_22
    | spl0_64
    | spl0_259
    | ~ spl0_187
    | spl0_37
    | spl0_24
    | ~ spl0_9 ),
    inference(rat,[],[s49,s1447,s1784,s2099,s2368,s2529,s716,s2358,s2363,s1905,s7,s614,s1500,s2356,s1481,s1340,s155,s2530,s2088,s9,s2504,s2531,s2014,s33,s319,s357]) ).

cnf(s2533,plain,
    ( spl0_58
    | ~ spl0_28
    | spl0_25
    | spl0_64
    | spl0_259
    | ~ spl0_187
    | spl0_37
    | spl0_24
    | ~ spl0_9 ),
    inference(rat,[],[s2339,s690,s1132,s1504,s1762,s49,s162,s2532,s577,s2531,s155,s2530,s33,s614,s749,s1237,s1905,s7,s2103,s1500,s2356,s2088,s9,s2504,s2509,s2514,s2014,s319,s517]) ).

cnf(s2534,plain,
    ( ~ spl0_28
    | spl0_25
    | spl0_64
    | spl0_259
    | ~ spl0_187
    | spl0_37
    | spl0_24
    | ~ spl0_9 ),
    inference(rat,[],[s2195,s1290,s2363,s2369,s162,s1353,s155,s49,s1352,s1785,s2127,s2071,s174,s577,s690,s447,s1223,s1455,s2233,s2533,s2014,s7,s614,s2088,s9,s2504,s2509,s2514,s357,s319,s440]) ).

cnf(s2535,plain,
    ( ~ spl0_226
    | ~ spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s1970,s1975,s574,s2142,s573,s1605,s1136,s1697,s2355,s1168,s2356,s749,s1237,s1905,s7,s357,s845]) ).

cnf(s2536,plain,
    ( spl0_64
    | ~ spl0_28
    | spl0_259
    | ~ spl0_187
    | spl0_37
    | spl0_24
    | ~ spl0_9 ),
    inference(rat,[],[s716,s2061,s1536,s1000,s2518,s2319,s1159,s1342,s2534,s33,s749,s1237,s1905,s7,s357]) ).

cnf(s2537,plain,
    ( ~ spl0_28
    | spl0_259
    | spl0_37
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s1216,s1784,s618,s49,s1177,s2319,s1247,s668,s1342,s1733,s1535,s2510,s2520,s2136,s687,s1241,s2536,s14,s366,s2014,s1905,s7,s20,s614,s1495,s2535,s2528]) ).

cnf(s2538,plain,
    ( spl0_64
    | spl0_249
    | spl0_16
    | spl0_259
    | ~ spl0_140
    | spl0_37
    | spl0_24
    | ~ spl0_9 ),
    inference(rat,[],[s716,s1536,s2061,s2518,s33,s357]) ).

cnf(s2539,plain,
    ( spl0_259
    | spl0_37
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s722,s2493,s2000,s196,s687,s1241,s2538,s1000,s2319,s1159,s1342,s2514,s1177,s14,s2515,s526,s2537,s9,s2504,s33,s20,s614,s749,s1237,s1905,s7,s1495,s2535,s2528]) ).

cnf(s2540,plain,
    ( ~ spl0_51
    | spl0_26
    | ~ spl0_56
    | spl0_58
    | ~ spl0_277
    | spl0_64
    | ~ spl0_187
    | ~ spl0_4 ),
    inference(rat,[],[s716,s2240,s2368,s1201,s1784,s357]) ).

cnf(s2541,plain,
    ( spl0_26
    | ~ spl0_54
    | spl0_58
    | ~ spl0_22
    | ~ spl0_277
    | ~ spl0_19
    | ~ spl0_29
    | ~ spl0_28
    | spl0_64
    | ~ spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s772,s2375,s2173,s1400,s1169,s1840,s716,s605,s2342,s1173,s690,s2339,s1247,s49,s2540,s2142,s2363,s614,s1239,s749,s1237,s1905,s7,s2103,s1500,s2356,s155,s2530,s2088,s9,s2504,s440,s357,s845,s517]) ).

cnf(s2542,plain,
    ( ~ spl0_178
    | spl0_89
    | ~ spl0_50
    | ~ spl0_56
    | spl0_58
    | ~ spl0_22
    | ~ spl0_277
    | ~ spl0_29
    | ~ spl0_28
    | spl0_64
    | ~ spl0_232
    | spl0_137
    | ~ spl0_140
    | ~ spl0_264
    | spl0_37
    | ~ spl0_35
    | spl0_5 ),
    inference(rat,[],[s1822,s1431,s2060,s1482,s2237,s203,s2142,s159,s2342,s1331,s690,s2339,s2103,s614,s845,s517]) ).

cnf(s2543,plain,
    ( spl0_242
    | ~ spl0_192
    | ~ spl0_130
    | ~ spl0_277
    | ~ spl0_29
    | spl0_137
    | ~ spl0_140
    | spl0_188 ),
    inference(rat,[],[s1400,s2375,s1840,s2142,s845]) ).

cnf(s2544,plain,
    ( ~ spl0_54
    | spl0_58
    | ~ spl0_22
    | ~ spl0_277
    | ~ spl0_19
    | ~ spl0_29
    | ~ spl0_28
    | spl0_64
    | ~ spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s1434,s1431,s1422,s1822,s2060,s2237,s2543,s772,s2173,s1169,s716,s2542,s605,s1173,s690,s2339,s1247,s49,s162,s2541,s614,s1239,s749,s1237,s1905,s7,s2103,s1500,s2356,s711,s2535,s155,s2530,s2088,s9,s2504,s440,s357,s517]) ).

cnf(s2545,plain,
    ( spl0_26
    | spl0_58
    | spl0_25
    | ~ spl0_277
    | ~ spl0_19
    | ~ spl0_29
    | ~ spl0_28
    | spl0_64
    | ~ spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s2542,s1247,s716,s49,s2352,s2540,s2363,s614,s749,s1237,s1905,s7,s1500,s2356,s711,s2535,s2514,s155,s2530,s2088,s9,s2504,s577,s2544,s2509,s357,s319]) ).

cnf(s2546,plain,
    ( spl0_58
    | spl0_25
    | ~ spl0_277
    | ~ spl0_19
    | ~ spl0_29
    | ~ spl0_28
    | spl0_64
    | ~ spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s690,s2339,s1504,s1247,s49,s162,s2545,s577,s2544,s155,s2530,s614,s749,s1237,s1905,s7,s2103,s1500,s2356,s2088,s9,s2504,s2509,s2514,s319,s517]) ).

cnf(s2547,plain,
    ( spl0_25
    | ~ spl0_277
    | ~ spl0_19
    | ~ spl0_29
    | ~ spl0_28
    | spl0_64
    | ~ spl0_187
    | spl0_37
    | ~ spl0_35
    | ~ spl0_9 ),
    inference(rat,[],[s1899,s1431,s724,s2210,s447,s1455,s2233,s2546,s2509,s9,s2504,s711,s2535,s440]) ).

cnf(s2548,plain,
    ( ~ spl0_28
    | spl0_64
    | spl0_37
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s574,s2055,s2269,s2237,s234,s2543,s2235,s605,s1177,s1173,s668,s690,s2544,s1425,s188,s167,s28,s1580,s772,s2319,s1159,s1342,s2547,s944,s1493,s14,s366,s2014,s9,s2504,s33,s20,s614,s1239,s749,s1237,s1905,s7,s1495,s2535,s1412,s2539,s2103,s1500,s2356,s2528,s357,s440,s517]) ).

cnf(s2549,plain,
    ( spl0_28
    | spl0_37
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s251,s1342,s1580,s2514,s923,s2515,s1444,s614,s1237,s1905,s7,s1500,s2356,s1495,s2535,s2528,s2539,s357]) ).

cnf(s2550,plain,
    ( spl0_37
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s1216,s1784,s618,s49,s1177,s2319,s1247,s668,s1342,s1733,s1535,s14,s2510,s2520,s2136,s687,s1241,s366,s2548,s2014,s2549,s1495,s2535,s2528,s614,s1905,s7,s20]) ).

cnf(s2551,plain,
    ( spl0_58
    | spl0_259
    | spl0_64
    | spl0_187
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s1182,s668,s690,s2526,s1808,s2517,s4,s33,s607,s2504,s1227,s2412,s132,s1444,s1450,s1905,s7,s2319,s1342,s1222,s2550,s20,s319,s357,s440]) ).

cnf(s2552,plain,
    ( ~ spl0_58
    | ~ spl0_81
    | spl0_211
    | spl0_16
    | spl0_28
    | ~ spl0_35
    | ~ spl0_7 ),
    inference(rat,[],[s527,s1182,s2526,s690,s1223,s1455,s319]) ).

cnf(s2553,plain,
    ( spl0_242
    | spl0_137
    | ~ spl0_277
    | ~ spl0_130
    | spl0_241 ),
    inference(rat,[],[s2344,s573,s1400,s1976,s1840,s2142,s357,s845]) ).

cnf(s2554,plain,
    ( spl0_64
    | spl0_187
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s1297,s716,s2164,s2175,s574,s155,s1757,s1321,s1534,s2118,s447,s1435,s2218,s1136,s2553,s717,s923,s1580,s1500,s2015,s2498,s49,s1784,s2526,s1177,s1842,s605,s1019,s1173,s690,s2551,s1808,s2552,s2412,s132,s1227,s9,s4,s33,s1444,s607,s1450,s2504,s1292,s2428,s2454,s2319,s1342,s1222,s2550,s20,s1905,s7,s357,s440]) ).

cnf(s2556,plain,
    ( ~ spl0_51
    | ~ spl0_70
    | spl0_54
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s1772,s1216,s688,s1784,s177,s33,s1444,s1450,s1905,s7,s2319,s1342,s1222,s2550,s20,s1177,s357]) ).

cnf(s2558,plain,
    ( spl0_70
    | ~ spl0_64
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s620,s1823,s1216,s1784,s162,s49,s1422,s1578,s724,s709,s447,s2275,s266,s1842,s668,s9,s4,s2504,s1444,s1450,s711,s2454,s2319,s1342,s1222,s2550,s20,s1905,s7,s2136,s1241,s440,s357]) ).

cnf(s2559,plain,
    ( spl0_219
    | ~ spl0_50
    | ~ spl0_64
    | spl0_226
    | ~ spl0_218
    | ~ spl0_4 ),
    inference(rat,[],[s1144,s2444,s2240,s716,s573,s1828,s1118,s1241,s687,s357]) ).

cnf(s2560,plain,
    ( ~ spl0_50
    | ~ spl0_64
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s922,s1333,s701,s2559,s9,s2504,s2428,s2454,s2319,s1342,s1222,s2550,s20,s1905,s7,s2136,s1241]) ).

cnf(s2561,plain,
    ( ~ spl0_64
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s2000,s2556,s722,s49,s2560,s2558,s1241]) ).

cnf(s2562,plain,
    ( ~ spl0_3
    | ~ spl0_9 ),
    inference(rat,[],[s1430,s1000,s1765,s749,s1159,s2356,s1237,s2554,s2561,s2319,s1342,s1450,s1222,s2550,s20,s1905,s7]) ).

cnf(s2563,plain,
    ( ~ spl0_51
    | ~ spl0_28
    | spl0_58
    | spl0_25
    | spl0_259
    | spl0_37
    | spl0_64
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s2232,s718,s1920,s767,s796,s2061,s2229,s149,s716,s14,s2358,s232,s2505,s240,s2363,s2506,s162,s1905,s2045,s614,s33,s2509,s2013,s7,s1214,s2317,s2514,s3,s2562,s2083,s1923,s1481,s155,s2530,s2088,s9,s2504,s749,s2333,s1824,s357]) ).

cnf(s2564,plain,
    ( spl0_51
    | spl0_58
    | spl0_25
    | spl0_259
    | spl0_37
    | ~ spl0_218
    | ~ spl0_9 ),
    inference(rat,[],[s1536,s579,s716,s2127,s1828,s690,s1808,s1841,s49,s1566,s33,s1923,s1481,s2511,s2013,s2317,s2514,s3,s2562,s7,s2509,s9,s2504,s357]) ).

cnf(s2565,plain,
    ( spl0_58
    | spl0_25
    | spl0_259
    | spl0_37
    | spl0_64
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s1055,s453,s711,s793,s1296,s758,s2344,s446,s573,s990,s2059,s1431,s772,s1419,s1482,s1505,s203,s156,s1927,s189,s149,s208,s14,s620,s1216,s526,s1444,s1784,s2563,s162,s2564,s4,s808,s1227,s2045,s614,s33,s2509,s2013,s7,s868,s1214,s2317,s2514,s3,s2562,s9,s2504,s2083,s1923,s1481,s319,s440,s357]) ).

cnf(s2566,plain,
    ( spl0_25
    | spl0_259
    | spl0_37
    | spl0_64
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s2358,s2341,s162,s239,s155,s49,s232,s257,s1504,s2076,s2071,s716,s577,s690,s2228,s1223,s1455,s2565,s2511,s1214,s2013,s2317,s2514,s2509,s7,s3,s2562,s808,s2088,s9,s2504,s614,s2083,s33,s1923,s1481,s357,s319]) ).

cnf(s2567,plain,
    ( spl0_259
    | spl0_37
    | spl0_64
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s2517,s1223,s2518,s1342,s2566,s33,s1923,s1481]) ).

cnf(s2568,plain,
    ( spl0_25
    | ~ spl0_219
    | ~ spl0_9 ),
    inference(rat,[],[s2013,s2317,s2511,s2514,s2509,s7,s3,s2562,s9,s2504]) ).

cnf(s2569,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | ~ spl0_35
    | spl0_58
    | ~ spl0_30
    | ~ spl0_70
    | spl0_64 ),
    inference(rat,[],[s28,s188,s619,s2000,s177,s722]) ).

cnf(s2570,plain,
    ( ~ spl0_35
    | spl0_58
    | spl0_37
    | spl0_64
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s1297,s447,s2344,s716,s2209,s573,s1834,s930,s2059,s2080,s690,s1119,s1168,s1808,s2498,s1841,s49,s2569,s772,s155,s1805,s2530,s27,s37,s2527,s1905,s7,s2088,s701,s2015,s1500,s1580,s2319,s1342,s2045,s614,s1177,s1842,s2568,s2126,s2567,s808,s1566,s3,s2562,s9,s2504,s440,s357,s845]) ).

cnf(s2571,plain,
    ( spl0_58
    | spl0_37
    | spl0_64
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s2000,s722,s188,s49,s327,s1447,s37,s1774,s1775,s33,s2570,s1340,s614,s1842,s1566,s3,s2562,s9,s2504,s2319,s1342,s2568,s2126,s2567,s808,s319]) ).

cnf(s2572,plain,
    ( spl0_37
    | spl0_64
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s196,s1223,s1455,s2571,s14,s1493,s944,s2015,s1500,s1580,s1177,s2319,s1842,s1342,s2568,s2126,s2567,s2045,s614,s1566,s3,s2562,s9,s2504,s808]) ).

cnf(s2573,plain,
    ( spl0_64
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s1297,s716,s2164,s2175,s574,s155,s1757,s1321,s1534,s2118,s447,s1435,s2218,s717,s1136,s923,s2553,s1580,s1500,s2015,s2498,s1019,s49,s1292,s690,s722,s2412,s2454,s1425,s2517,s2000,s132,s1177,s2319,s2552,s2526,s607,s1444,s1842,s1342,s33,s1450,s1222,s589,s2572,s1227,s1905,s7,s4,s1566,s3,s2562,s9,s2504,s808,s357,s440]) ).

cnf(s2574,plain,
    ( spl0_25
    | ~ spl0_64
    | ~ spl0_9 ),
    inference(rat,[],[s2359,s607,s1888,s1182,s584,s2514,s2509,s30,s3,s2562,s9,s2504,s690,s687,s1905,s7,s319]) ).

cnf(s2575,plain,
    ( ~ spl0_54
    | spl0_259
    | ~ spl0_70
    | ~ spl0_86
    | spl0_58
    | spl0_187 ),
    inference(rat,[],[s1834,s49,s716,s722,s1536,s2000,s927,s33,s1923,s1481,s357]) ).

cnf(s2576,plain,
    ( ~ spl0_43
    | ~ spl0_20
    | ~ spl0_64
    | ~ spl0_9 ),
    inference(rat,[],[s49,s1784,s1247,s1216,s1733,s155,s526,s1465,s2125,s2136,s1241,s1342,s1177,s1842,s2574,s1566,s3,s2562,s9,s2504,s1535,s687,s1905,s7]) ).

cnf(s2577,plain,
    ( spl0_37
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s922,s1333,s701,s49,s2126,s722,s2575,s2000,s579,s2576,s614,s808,s2136,s1241,s690,s687,s1905,s7,s1842,s2574,s2573,s1566,s3,s2562,s9,s2504,s357]) ).

cnf(s2578,plain,
    ( ~ spl0_51
    | spl0_54
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s1772,s1216,s688,s1784,s177,s2319,s1342,s1177,s1842,s2574,s2573,s1566,s3,s2562,s9,s2504,s33,s589,s1444,s1450,s2577,s1905,s7,s357]) ).

cnf(s2580,plain,
    ( ~ spl0_50
    | spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s922,s1333,s701,s2559,s9,s2504,s808,s2136,s1241,s2454,s2319,s1342,s2577,s2574,s2573,s1905,s7]) ).

cnf(s2581,plain,
    ( spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s2000,s2578,s722,s49,s2580,s1842,s2574,s1241,s2573,s1566,s3,s2562,s9,s2504]) ).

cnf(s2582,plain,
    ( ~ spl0_51
    | spl0_58
    | spl0_70
    | spl0_64
    | ~ spl0_9 ),
    inference(rat,[],[s2536,s37,s1450,s1493,s526,s14,s149,s796,s2240,s716,s944,s2368,s2540,s155,s1216,s1784,s162,s1905,s7,s2581,s2317,s2388,s1842,s1566,s3,s2562,s9,s2504,s357]) ).

cnf(s2583,plain,
    ( spl0_231
    | ~ spl0_54
    | spl0_37
    | ~ spl0_35
    | spl0_100
    | ~ spl0_232 ),
    inference(rat,[],[s1534,s447,s1822,s2210,s440]) ).

cnf(s2584,plain,
    ( ~ spl0_231
    | ~ spl0_29
    | ~ spl0_22
    | ~ spl0_6 ),
    inference(rat,[],[s1899,s1431,s724]) ).

cnf(s2585,plain,
    ( spl0_58
    | spl0_70
    | spl0_64
    | ~ spl0_9 ),
    inference(rat,[],[s579,s2583,s2127,s1222,s33,s690,s1774,s1808,s1447,s1841,s49,s2582,s711,s2535,s2581,s1340,s2388,s1842,s1566,s2584,s2013,s2317,s3,s2562,s7,s668,s9,s2504,s357,s319]) ).

cnf(s2586,plain,
    ( spl0_70
    | spl0_64
    | ~ spl0_9 ),
    inference(rat,[],[s2210,s447,s1455,s2233,s2585,s2584,s2013,s2317,s668,s7,s3,s2562,s9,s2504,s711,s2535,s2581,s440]) ).

cnf(s2587,plain,
    ( ~ spl0_51
    | spl0_58
    | spl0_64
    | ~ spl0_9 ),
    inference(rat,[],[s19,s33,s1535,s2569,s1465,s155,s577,s1216,s2000,s1784,s722,s1177,s1501,s716,s2061,s1000,s1159,s2319,s1342,s2514,s2586,s749,s1237,s1905,s7,s2356,s2581,s319,s357]) ).

cnf(s2588,plain,
    ( spl0_37
    | spl0_58
    | spl0_64
    | ~ spl0_9 ),
    inference(rat,[],[s447,s1435,s1297,s2218,s2164,s1136,s574,s2553,s2055,s1294,s944,s2225,s1899,s726,s27,s2453,s724,s1580,s1430,s2583,s2538,s33,s1774,s1447,s614,s1566,s3,s2562,s9,s1239,s1500,s711,s2535,s1340,s1177,s772,s690,s1501,s2356,s2240,s716,s2061,s1000,s1159,s2319,s749,s1237,s2581,s1905,s7,s579,s1145,s49,s2587,s1342,s2514,s2586,s4,s2504,s1227,s440,s357,s319]) ).

cnf(s2589,plain,
    ( ~ spl0_37
    | spl0_249
    | ~ spl0_9 ),
    inference(rat,[],[s1210,s1765,s1450,s2356,s749,s1237,s2581,s1905,s7]) ).

cnf(s2590,plain,
    ( spl0_64
    | ~ spl0_9 ),
    inference(rat,[],[s1412,s28,s2518,s1774,s167,s1223,s1352,s2588,s2071,s2589,s690,s1501,s716,s2061,s1000,s2319,s1159,s1342,s2514,s2586,s2088,s9,s2504,s749,s1237,s1905,s7,s2103,s1500,s2356,s2581,s357,s517]) ).

cnf(s2591,plain,
    ( spl0_24
    | ~ spl0_9 ),
    inference(rat,[],[s2493,s2014,s33,s1177,s582,s722,s2000,s579,s2576,s614,s2589,s1000,s1159,s2581,s2319,s1342,s1241,s1842,s2574,s2590,s1566,s3,s2562,s9,s2504,s357]) ).

cnf(s2592,plain,
    ( spl0_5
    | ~ spl0_9 ),
    inference(rat,[],[s1210,s1481,s37,s1923,s2591,s1000,s2319,s1159,s1342,s2574,s2590,s749,s1237,s2581,s1905]) ).

cnf(s2593,plain,
    ~ spl0_9,
    inference(rat,[],[s2592,s7]) ).

cnf(s2594,plain,
    spl0_1,
    inference(rat,[],[s1161,s2593]) ).

cnf(s2596,plain,
    spl0_10,
    inference(rat,[],[s5,s2593]) ).

cnf(s2599,plain,
    ( spl0_259
    | spl0_147
    | spl0_37
    | ~ spl0_54
    | spl0_70
    | spl0_58
    | spl0_249
    | spl0_64 ),
    inference(rat,[],[s1529,s931,s2044,s2406,s1298,s2344,s573,s1808,s2059,s1431,s2411,s2399,s772,s155,s1805,s258,s1343,s1377,s1904,s2317,s161,s1760,s1771,s1444,s1824,s2333,s2212,s2061,s716,s1169,s33,s2083,s1923,s1481,s668,s2000,s614,s2594,s357,s440,s2593,s517]) ).

cnf(s2600,plain,
    ( spl0_37
    | ~ spl0_54
    | spl0_70
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s27,s22,s1444,s1771,s1424,s1805,s2333,s2212,s2061,s716,s1169,s2173,s718,s1381,s2128,s2126,s2599,s2045,s614,s808,s1001,s668,s357,s2593,s517,s2594]) ).

cnf(s2601,plain,
    ( spl0_259
    | ~ spl0_37
    | ~ spl0_114
    | ~ spl0_54
    | ~ spl0_22
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1823,s1921,s1784,s162,s1824,s49,s2333,s2427,s2212,s1330,s2061,s716,s1536,s1227,s808,s1001,s33,s195,s1425,s1222,s589,s517,s357,s2594,s440]) ).

cnf(s2602,plain,
    ( ~ spl0_51
    | ~ spl0_29
    | spl0_4
    | ~ spl0_259
    | ~ spl0_25
    | ~ spl0_54
    | ~ spl0_22
    | spl0_58
    | spl0_187 ),
    inference(rat,[],[s201,s212,s590,s1493,s1499,s944,s1201,s2240,s716,s1330,s2511,s8,s9,s1904,s162,s1980,s808,s2594,s357,s2596]) ).

cnf(s2603,plain,
    ( ~ spl0_8
    | spl0_4 ),
    inference(rat,[],[s1904,s161]) ).

cnf(s2604,plain,
    ( ~ spl0_28
    | ~ spl0_37
    | ~ spl0_54
    | ~ spl0_22
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1266,s590,s1733,s258,s696,s1218,s1141,s1340,s2603,s49,s2602,s27,s1450,s1222,s589,s2601,s2000,s2594,s357,s440]) ).

cnf(s2605,plain,
    ( ~ spl0_51
    | spl0_98 ),
    inference(rat,[],[s1784,s162]) ).

cnf(s2606,plain,
    ( ~ spl0_16
    | ~ spl0_186
    | spl0_219
    | ~ spl0_224
    | spl0_28
    | ~ spl0_37
    | ~ spl0_114
    | ~ spl0_54
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s448,s2166,s1649,s1157,s1287,s2147,s995,s986,s446,s1296,s1573,s2164,s573,s574,s453,s1281,s2009,s1058,s2044,s1004,s2445,s1168,s711,s2603,s2455,s1107,s1419,s1340,s2399,s203,s1141,s155,s2013,s258,s1377,s33,s156,s1444,s49,s2605,s1823,s1921,s195,s1425,s1227,s772,s2173,s1169,s716,s1330,s808,s1222,s589,s717,s440,s357,s319,s823,s2594]) ).

cnf(s2607,plain,
    ( ~ spl0_54
    | spl0_70
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1424,s1499,s607,s590,s2606,s2240,s716,s1330,s2427,s49,s2605,s2333,s1823,s2212,s1921,s1210,s2604,s2601,s195,s1425,s1222,s589,s2600,s2000,s1227,s808,s1001,s668,s2594,s357,s517,s440]) ).

cnf(s2608,plain,
    ( ~ spl0_102
    | ~ spl0_186
    | spl0_147
    | ~ spl0_43 ),
    inference(rat,[],[s1620,s453,s2243,s1296,s1281,s2344,s446,s573,s990,s2059,s1290,s772,s1419,s1482,s1505,s319,s1081,s440,s357]) ).

cnf(s2609,plain,
    ( spl0_89
    | spl0_102
    | spl0_106
    | spl0_15
    | spl0_58
    | ~ spl0_81 ),
    inference(rat,[],[s156,s189,s203,s208,s27,s1444,s33,s22,s357]) ).

cnf(s2614,plain,
    ( spl0_226
    | spl0_231
    | spl0_259
    | spl0_5
    | ~ spl0_28
    | spl0_37
    | ~ spl0_218 ),
    inference(rat,[],[s1976,s573,s2142,s2344,s2237,s1298,s2060,s1822,s1292,s711,s1481,s2219,s1824,s357,s845]) ).

cnf(s2615,plain,
    ( ~ spl0_143
    | spl0_259
    | spl0_15
    | spl0_249 ),
    inference(rat,[],[s1975,s573,s1899,s1299,s27,s33,s22,s749,s2333,s1824,s1444,s357]) ).

cnf(s2616,plain,
    ( spl0_259
    | spl0_37
    | spl0_70
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2171,s447,s1005,s1819,s1529,s2355,s2614,s1431,s1107,s1808,s2615,s690,s2071,s2609,s2608,s2240,s716,s2061,s749,s868,s2333,s2219,s1824,s1481,s1227,s808,s1001,s577,s1888,s668,s2045,s614,s1444,s1776,s1131,s1377,s2319,s28,s615,s188,s2607,s440,s823,s357,s319,s2594]) ).

cnf(s2617,plain,
    ( spl0_37
    | spl0_70
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s156,s203,s195,s2392,s2240,s1501,s716,s2015,s2061,s161,s749,s9,s1805,s1505,s2511,s1381,s2128,s2126,s2616,s33,s27,s22,s1444,s1776,s614,s1227,s1131,s808,s1001,s668,s2607,s2594,s357,s440]) ).

cnf(s2618,plain,
    ( ~ spl0_183
    | ~ spl0_89
    | ~ spl0_186
    | ~ spl0_278
    | ~ spl0_179
    | spl0_54 ),
    inference(rat,[],[s2171,s447,s1005,s1297,s1281,s2344,s440]) ).

cnf(s2619,plain,
    ( ~ spl0_174
    | ~ spl0_239
    | ~ spl0_236
    | ~ spl0_98
    | spl0_238
    | spl0_219
    | ~ spl0_140
    | spl0_187 ),
    inference(rat,[],[s453,s1652,s1128,s2035,s982,s986,s808,s1001,s319,s2594]) ).

cnf(s2620,plain,
    ( ~ spl0_51
    | ~ spl0_186
    | ~ spl0_140
    | ~ spl0_6
    | ~ spl0_29
    | spl0_259
    | ~ spl0_37
    | spl0_54
    | spl0_70
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1825,s1629,s1287,s449,s453,s2194,s972,s1620,s1291,s800,s996,s446,s2619,s1839,s605,s1173,s690,s1819,s447,s1035,s2171,s1960,s1005,s2243,s1763,s2225,s1529,s2355,s1063,s1975,s1121,s573,s2618,s212,s201,s1377,s2319,s1336,s1181,s1008,s1823,s1201,s2605,s1980,s265,s8,s716,s2061,s1001,s1107,s1290,s2435,s2511,s668,s808,s1222,s33,s589,s577,s319,s857,s440,s1081,s357,s823,s2594,s2596]) ).

cnf(s2621,plain,
    ( ~ spl0_28
    | spl0_259
    | spl0_70
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1247,s212,s257,s201,s1141,s1145,s49,s2620,s2240,s716,s2061,s8,s749,s1340,s4,s9,s2333,s2603,s1824,s27,s1450,s1227,s1980,s1001,s668,s577,s2607,s33,s589,s2617,s2594,s440,s357,s2596,s319]) ).

cnf(s2622,plain,
    ( spl0_28
    | ~ spl0_37
    | spl0_54
    | spl0_70
    | spl0_38
    | spl0_64 ),
    inference(rat,[],[s212,s201,s526,s8,s9,s610,s2013,s696,s1218,s2319,s155,s1337,s619,s1921,s1823,s2605,s49,s1303,s1133,s1929,s1444,s1227,s668,s577,s2596,s357,s319,s440]) ).

cnf(s2623,plain,
    ( spl0_186
    | ~ spl0_89
    | ~ spl0_29
    | spl0_54
    | spl0_58
    | spl0_249
    | spl0_64 ),
    inference(rat,[],[s2229,s920,s772,s2232,s1805,s717,s2212,s2061,s716,s2240,s440,s517,s357]) ).

cnf(s2624,plain,
    ( spl0_277
    | ~ spl0_11
    | ~ spl0_259
    | ~ spl0_29
    | ~ spl0_22
    | spl0_38 ),
    inference(rat,[],[s201,s212,s590,s1493,s1499,s944,s2594,s357]) ).

cnf(s2625,plain,
    ( ~ spl0_51
    | ~ spl0_277
    | ~ spl0_29
    | ~ spl0_37
    | spl0_54
    | spl0_58
    | spl0_249
    | spl0_64 ),
    inference(rat,[],[s2623,s1823,s1201,s2605]) ).

cnf(s2626,plain,
    ( spl0_70
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1247,s212,s257,s201,s1141,s1145,s49,s2625,s2624,s8,s1340,s4,s9,s2603,s2621,s27,s1450,s2622,s33,s589,s2617,s577,s2607,s668,s1227,s1980,s1001,s2594,s440,s2596,s319]) ).

cnf(s2627,plain,
    ( ~ spl0_28
    | spl0_259
    | spl0_54
    | ~ spl0_37
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1629,s1839,s2224,s605,s1611,s1173,s449,s690,s2194,s972,s1819,s1291,s800,s447,s446,s2171,s2619,s1005,s2243,s2225,s1529,s2355,s1063,s1975,s1121,s1377,s573,s2319,s2618,s2569,s2605,s177,s49,s1141,s155,s1008,s2240,s1290,s1107,s716,s2435,s2061,s701,s265,s749,s1340,s9,s2333,s2603,s1824,s1450,s808,s1001,s1177,s2514,s577,s927,s33,s589,s2626,s440,s319,s857,s1081,s357,s2594,s823]) ).

cnf(s2628,plain,
    ( ~ spl0_51
    | spl0_28
    | spl0_277
    | spl0_54
    | ~ spl0_35
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s265,s1008,s9,s2623,s610,s2013,s696,s1218,s2319,s155,s1337,s619,s1921,s177,s1227,s1001,s2626,s1133,s1444,s577,s2594,s319,s357,s440]) ).

cnf(s2629,plain,
    ( ~ spl0_89
    | spl0_28
    | spl0_277
    | spl0_54
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s265,s1008,s9,s2623,s1325,s2013,s1218,s2319,s155,s1337,s619,s1921,s1227,s1001,s2626,s1133,s1444,s577,s2594,s319,s357,s440]) ).

cnf(s2630,plain,
    ( spl0_8
    | ~ spl0_186
    | ~ spl0_50
    | spl0_277
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1008,s1141,s265,s1340,s9,s2594,s440]) ).

cnf(s2631,plain,
    ( spl0_259
    | spl0_54
    | ~ spl0_37
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1343,s1377,s2319,s2454,s1325,s2603,s2630,s2240,s716,s1834,s690,s2498,s1808,s1823,s2629,s49,s2628,s2627,s927,s808,s2514,s2626,s33,s589,s357]) ).

cnf(s2632,plain,
    ( ~ spl0_226
    | ~ spl0_140
    | ~ spl0_179
    | ~ spl0_16
    | ~ spl0_139
    | ~ spl0_98
    | ~ spl0_89
    | ~ spl0_7
    | ~ spl0_6
    | ~ spl0_29
    | spl0_54
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1825,s1743,s1287,s453,s1620,s996,s446,s1035,s2619,s911,s701,s1214,s1805,s2173,s2009,s2092,s574,s1060,s1936,s2259,s1952,s1173,s1019,s690,s2225,s1819,s2118,s1975,s447,s573,s2171,s2618,s1005,s2243,s1290,s1107,s1529,s2355,s1119,s1063,s808,s2514,s2626,s577,s2623,s1001,s319,s440,s2596,s357,s1081,s823,s2594]) ).

cnf(s2633,plain,
    ( ~ spl0_183
    | spl0_240
    | ~ spl0_179
    | ~ spl0_186
    | ~ spl0_89
    | ~ spl0_29
    | spl0_54
    | spl0_64 ),
    inference(rat,[],[s2080,s2209,s1899,s447,s1103,s1297,s2618,s2344,s845,s440]) ).

cnf(s2634,plain,
    ( ~ spl0_140
    | ~ spl0_179
    | ~ spl0_16
    | ~ spl0_139
    | ~ spl0_98
    | ~ spl0_89
    | ~ spl0_7
    | ~ spl0_6
    | ~ spl0_29
    | spl0_54
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2248,s1005,s1060,s2171,s920,s447,s2059,s1297,s772,s2164,s1107,s1805,s717,s574,s1899,s726,s701,s2007,s1975,s1121,s1115,s573,s2633,s931,s711,s2632,s808,s2623,s1001,s440,s823,s357,s2594]) ).

cnf(s2635,plain,
    ( spl0_239
    | spl0_246 ),
    inference(rat,[],[s2243,s1081]) ).

cnf(s2640,plain,
    ( spl0_140
    | spl0_224 ),
    inference(rat,[],[s2212,s517]) ).

cnf(s2654,plain,
    ( spl0_146
    | spl0_242 ),
    inference(rat,[],[s2142,s845]) ).

cnf(s2657,plain,
    ( ~ spl0_228
    | spl0_239 ),
    inference(rat,[],[s2122,s1081]) ).

cnf(s2664,plain,
    ( spl0_142
    | spl0_235 ),
    inference(rat,[],[s2080,s845]) ).

cnf(s2671,plain,
    ( spl0_294
    | spl0_298 ),
    inference(rat,[],[s2026,s905]) ).

cnf(s2676,plain,
    ( ~ spl0_119
    | ~ spl0_137
    | spl0_277 ),
    inference(rat,[],[s2002,s682]) ).

cnf(s2693,plain,
    ( ~ spl0_20
    | ~ spl0_22
    | ~ spl0_15
    | spl0_8 ),
    inference(rat,[],[s1771,s2593]) ).

cnf(s2695,plain,
    ( spl0_2
    | ~ spl0_15
    | spl0_37 ),
    inference(rat,[],[s1760,s2594]) ).

cnf(s2702,plain,
    ( spl0_305
    | spl0_314 ),
    inference(rat,[],[s1705,s517]) ).

cnf(s2737,plain,
    ( spl0_15
    | spl0_28 ),
    inference(rat,[],[s1444,s357]) ).

cnf(s2745,plain,
    ( ~ spl0_220
    | ~ spl0_15
    | spl0_46 ),
    inference(rat,[],[s1376,s2594]) ).

cnf(s2748,plain,
    ( spl0_89
    | spl0_110 ),
    inference(rat,[],[s1352,s357]) ).

cnf(s2766,plain,
    ( spl0_64
    | spl0_81 ),
    inference(rat,[],[s1227,s440]) ).

cnf(s2767,plain,
    ( spl0_237
    | spl0_250 ),
    inference(rat,[],[s1191,s319]) ).

cnf(s2769,plain,
    ( ~ spl0_22
    | spl0_211
    | ~ spl0_86
    | spl0_54 ),
    inference(rat,[],[s1182,s319]) ).

cnf(s2771,plain,
    ( spl0_210
    | ~ spl0_86
    | ~ spl0_6
    | spl0_64 ),
    inference(rat,[],[s1173,s440]) ).

cnf(s2774,plain,
    ( ~ spl0_15
    | spl0_327
    | spl0_37 ),
    inference(rat,[],[s1148,s2594]) ).

cnf(s2775,plain,
    ( spl0_46
    | ~ spl0_50
    | spl0_326 ),
    inference(rat,[],[s1141,s440,s2594]) ).

cnf(s2776,plain,
    ( spl0_64
    | spl0_323 ),
    inference(rat,[],[s1131,s2594,s440]) ).

cnf(s2779,plain,
    ( spl0_143
    | spl0_278 ),
    inference(rat,[],[s1107,s823]) ).

cnf(s2784,plain,
    ( ~ spl0_144
    | ~ spl0_86
    | spl0_46
    | ~ spl0_169 ),
    inference(rat,[],[s1087,s2596]) ).

cnf(s2793,plain,
    ( ~ spl0_293
    | spl0_254 ),
    inference(rat,[],[s1021,s2594]) ).

cnf(s2796,plain,
    ( ~ spl0_249
    | spl0_187 ),
    inference(rat,[],[s1001,s2594]) ).

cnf(s2805,plain,
    ( ~ spl0_240
    | spl0_226 ),
    inference(rat,[],[s931,s2594]) ).

cnf(s2807,plain,
    ( ~ spl0_144
    | spl0_137
    | ~ spl0_181
    | ~ spl0_218 ),
    inference(rat,[],[s911,s2596]) ).

cnf(s2815,plain,
    ( ~ spl0_44
    | spl0_252
    | ~ spl0_178 ),
    inference(rat,[],[s865,s440]) ).

cnf(s2822,plain,
    ( spl0_141
    | spl0_192 ),
    inference(rat,[],[s772,s440]) ).

cnf(s2831,plain,
    ( spl0_140
    | spl0_224 ),
    inference(rat,[],[s750,s517]) ).

cnf(s2835,plain,
    ( spl0_178
    | spl0_179 ),
    inference(rat,[],[s716,s357]) ).

cnf(s2847,plain,
    ( spl0_120
    | spl0_16
    | spl0_37 ),
    inference(rat,[],[s628,s2593,s357]) ).

cnf(s2849,plain,
    ( ~ spl0_13
    | spl0_37 ),
    inference(rat,[],[s615,s2594]) ).

cnf(s2857,plain,
    ( ~ spl0_82
    | spl0_16
    | spl0_150
    | ~ spl0_20 ),
    inference(rat,[],[s593,s2596]) ).

cnf(s2859,plain,
    ( spl0_16
    | ~ spl0_22
    | spl0_211 ),
    inference(rat,[],[s590,s357,s2594]) ).

cnf(s2864,plain,
    ( spl0_43
    | spl0_54 ),
    inference(rat,[],[s579,s357]) ).

cnf(s2865,plain,
    ( spl0_43
    | spl0_54 ),
    inference(rat,[],[s577,s319]) ).

cnf(s2867,plain,
    ( spl0_180
    | spl0_181 ),
    inference(rat,[],[s574,s357]) ).

cnf(s2868,plain,
    ( spl0_182
    | spl0_183 ),
    inference(rat,[],[s573,s357]) ).

cnf(s2876,plain,
    ( spl0_184
    | spl0_185 ),
    inference(rat,[],[s453,s319]) ).

cnf(s2877,plain,
    ( spl0_182
    | spl0_183 ),
    inference(rat,[],[s452,s319]) ).

cnf(s2878,plain,
    ( spl0_180
    | spl0_181 ),
    inference(rat,[],[s451,s319]) ).

cnf(s2879,plain,
    ( spl0_178
    | spl0_179 ),
    inference(rat,[],[s450,s319]) ).

cnf(s2880,plain,
    ( spl0_176
    | spl0_177 ),
    inference(rat,[],[s449,s319]) ).

cnf(s2881,plain,
    ( spl0_171
    | spl0_172 ),
    inference(rat,[],[s448,s440]) ).

cnf(s2882,plain,
    ( spl0_169
    | spl0_170 ),
    inference(rat,[],[s447,s440]) ).

cnf(s2883,plain,
    ( spl0_173
    | spl0_174 ),
    inference(rat,[],[s446,s440]) ).

cnf(s2892,plain,
    ( ~ spl0_6
    | spl0_128 ),
    inference(rat,[],[s265,s2594]) ).

cnf(s2898,plain,
    ( ~ spl0_79
    | spl0_100 ),
    inference(rat,[],[s197,s2593]) ).

cnf(s2899,plain,
    ( ~ spl0_79
    | spl0_100 ),
    inference(rat,[],[s195,s2594]) ).

cnf(s2908,plain,
    ( spl0_11
    | ~ spl0_6 ),
    inference(rat,[],[s8,s2596]) ).

cnf(s2909,plain,
    ( spl0_2
    | spl0_3 ),
    inference(rat,[],[s1,s2594]) ).

cnf(s2910,plain,
    ( ~ spl0_226
    | spl0_141
    | spl0_188
    | ~ spl0_179
    | ~ spl0_98
    | ~ spl0_89
    | spl0_54
    | ~ spl0_25 ),
    inference(rat,[],[s2164,s1297,s2867,s2882,s2009,s2171,s1005,s2779,s1529,s1119]) ).

cnf(s2911,plain,
    ( ~ spl0_179
    | ~ spl0_16
    | ~ spl0_139
    | ~ spl0_98
    | ~ spl0_89
    | ~ spl0_7
    | ~ spl0_6
    | ~ spl0_29
    | spl0_54
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2248,s1060,s1005,s920,s2171,s2059,s2779,s1899,s726,s2664,s2209,s2882,s1297,s2164,s2867,s2007,s1115,s2868,s2633,s2805,s711,s2910,s2822,s1805,s717,s2640,s2634,s2514,s2626,s2623,s2796]) ).

cnf(s2912,plain,
    ( ~ spl0_226
    | ~ spl0_147
    | ~ spl0_98
    | ~ spl0_89
    | spl0_54
    | ~ spl0_37
    | ~ spl0_25
    | spl0_58 ),
    inference(rat,[],[s2118,s1060,s2882,s2867,s2171,s1757,s1005,s2779,s1763,s1529,s1119,s2355,s920]) ).

cnf(s2913,plain,
    ( ~ spl0_181
    | spl0_226
    | ~ spl0_147
    | ~ spl0_139
    | ~ spl0_35
    | ~ spl0_70
    | ~ spl0_218 ),
    inference(rat,[],[s1092,s2063,s1757]) ).

cnf(s2914,plain,
    ( ~ spl0_51
    | ~ spl0_28
    | spl0_54
    | ~ spl0_37
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1899,s1290,s2664,s2195,s2209,s2296,s2241,s1320,s1060,s2164,s2867,s2913,s2805,s2912,s920,s2175,s2229,s1018,s2822,s1805,s717,s2640,s2061,s2835,s2911,s2319,s2569,s155,s1008,s944,s2623,s2625,s2605,s177,s808,s2796,s2514,s2626,s33,s2865,s27,s589,s4,s2892,s9,s2603,s1450]) ).

cnf(s2916,plain,
    ( ~ spl0_219
    | ~ spl0_73
    | ~ spl0_50
    | ~ spl0_6 ),
    inference(rat,[],[s922,s1333,s701]) ).

cnf(s2917,plain,
    ( spl0_226
    | ~ spl0_179
    | spl0_219
    | ~ spl0_186
    | ~ spl0_89
    | ~ spl0_29
    | spl0_54
    | ~ spl0_218
    | spl0_64 ),
    inference(rat,[],[s2877,s2633,s1118,s2805]) ).

cnf(s2918,plain,
    ( ~ spl0_174
    | spl0_145
    | ~ spl0_236
    | ~ spl0_140
    | ~ spl0_278
    | spl0_219
    | ~ spl0_25
    | spl0_187 ),
    inference(rat,[],[s2876,s1058,s1128,s1603,s982,s986,s808,s2796]) ).

cnf(s2919,plain,
    ( ~ spl0_140
    | ~ spl0_182
    | spl0_238
    | ~ spl0_278
    | spl0_228
    | ~ spl0_33
    | ~ spl0_130
    | ~ spl0_86
    | spl0_219
    | ~ spl0_264
    | ~ spl0_186
    | ~ spl0_89
    | ~ spl0_73
    | ~ spl0_46
    | spl0_54
    | ~ spl0_25
    | spl0_58
    | spl0_187 ),
    inference(rat,[],[s1629,s2880,s1825,s1614,s1287,s1633,s2876,s1728,s1620,s1051,s996,s2883,s2918,s1840,s1321,s2118,s2882,s2171,s1005,s2635,s2225,s1579,s1975,s2796]) ).

cnf(s2920,plain,
    ( ~ spl0_179
    | spl0_219
    | ~ spl0_264
    | ~ spl0_89
    | spl0_5
    | ~ spl0_46
    | ~ spl0_6
    | ~ spl0_29
    | spl0_54
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2059,s920,s2822,s922,s1805,s2640,s2919,s2868,s1290,s2779,s1697,s1119,s1063,s2917,s1839,s605,s2771,s690,s1501,s808,s2514,s2626,s2865,s696,s2623,s2796]) ).

cnf(s2921,plain,
    ( ~ spl0_28
    | spl0_54
    | ~ spl0_37
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2229,s920,s2822,s922,s1805,s2640,s2061,s2835,s2920,s2916,s2015,s2630,s2623,s257,s696,s1377,s2775,s1145,s49,s2914,s1340,s4,s9,s2603,s27,s1450,s2766,s2796,s1177,s2626,s33,s589,s2865]) ).

cnf(s2922,plain,
    ( ~ spl0_89
    | ~ spl0_137
    | ~ spl0_224
    | spl0_28
    | spl0_54
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2229,s2822,s920,s2173,s922,s1214,s2835,s696,s1218,s2319,s1501,s155,s2015,s1337,s2898,s619,s2629,s1921,s2766,s1177,s2626,s1133,s2737,s2865,s717]) ).

cnf(s2923,plain,
    ( ~ spl0_16
    | spl0_89
    | ~ spl0_35
    | ~ spl0_70
    | spl0_64 ),
    inference(rat,[],[s1340,s1325,s2775,s2013,s257,s1377,s49,s177]) ).

cnf(s2924,plain,
    ( spl0_54
    | ~ spl0_37
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2498,s2454,s2429,s2603,s4,s1145,s2319,s2923,s49,s177,s1823,s2922,s734,s1412,s2640,s1133,s1210,s2737,s2921,s2631,s2865,s2766,s808,s2796,s2514,s2626,s33,s589]) ).

cnf(s2925,plain,
    ( ~ spl0_140
    | ~ spl0_226
    | ~ spl0_264
    | ~ spl0_186
    | spl0_219
    | ~ spl0_33
    | ~ spl0_73
    | ~ spl0_89
    | ~ spl0_86
    | ~ spl0_70
    | spl0_187 ),
    inference(rat,[],[s2224,s1629,s1611,s2880,s1614,s1633,s1728,s1051,s2883,s2918,s1005,s2225,s1579,s1975,s2796,s1177,s1063,s2779,s1119,s2514,s2868,s1697]) ).

cnf(s2926,plain,
    ( ~ spl0_226
    | ~ spl0_264
    | ~ spl0_186
    | spl0_219
    | ~ spl0_33
    | ~ spl0_73
    | ~ spl0_29
    | ~ spl0_89
    | ~ spl0_86
    | ~ spl0_70
    | spl0_187 ),
    inference(rat,[],[s2059,s920,s2822,s922,s1805,s2640,s2925,s2868,s1697,s1119,s2514]) ).

cnf(s2927,plain,
    ( ~ spl0_89
    | ~ spl0_37
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2296,s1418,s1297,s1144,s2344,s2868,s1118,s711,s2926,s2015,s2630,s2240,s2835,s1330,s2916,s1839,s696,s1218,s605,s2775,s2771,s1340,s9,s2603,s27,s1450,s1921,s2766,s808,s1177,s589,s690,s2899,s1425,s2514,s49,s722,s2000,s2924,s2626]) ).

cnf(s2928,plain,
    ( ~ spl0_28
    | spl0_89
    | ~ spl0_50
    | ~ spl0_37
    | spl0_64 ),
    inference(rat,[],[s696,s1218,s2775,s1340,s2603,s1733,s1450]) ).

cnf(s2929,plain,
    ( ~ spl0_226
    | spl0_240
    | ~ spl0_264
    | ~ spl0_250
    | ~ spl0_73
    | spl0_28
    | spl0_215
    | ~ spl0_37 ),
    inference(rat,[],[s1578,s2664,s1952,s1922,s2868,s1763,s1697,s2355]) ).

cnf(s2930,plain,
    ( spl0_226
    | ~ spl0_186
    | spl0_219
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_25
    | ~ spl0_218 ),
    inference(rat,[],[s2296,s1418,s1297,s1144,s2344,s2868,s1118,s711,s2835,s1330]) ).

cnf(s2931,plain,
    ( spl0_8
    | ~ spl0_37
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s930,s2929,s1119,s2930,s2015,s2630,s2240,s2835,s2767,s1330,s922,s2916,s1785,s1218,s2775,s1340,s9,s808,s1177,s1019,s2319,s2923,s33,s589,s2640,s1210,s2928,s2927,s49,s722,s2000,s2575,s690,s1425,s2514,s2626,s2924,s2796]) ).

cnf(s2932,plain,
    ( ~ spl0_37
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2497,s2603,s2931,s2319,s2923,s2927,s49,s722,s2000,s2924,s33,s589,s2626]) ).

cnf(s2933,plain,
    ( spl0_54
    | spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2831,s2061,s2333,s2835,s1824,s2911,s1493,s944,s14,s1201,s2605,s201,s1762,s2908,s4,s9,s1132,s2623,s1325,s2923,s33,s27,s2319,s22,s2737,s28,s1776,s188,s2776,s1980,s2796,s2626,s614,s2849,s2932]) ).

cnf(s2934,plain,
    ( ~ spl0_89
    | spl0_79
    | spl0_51
    | ~ spl0_20
    | ~ spl0_70
    | spl0_64 ),
    inference(rat,[],[s1325,s9,s27,s37,s1762,s1921,s1132,s2766]) ).

cnf(s2935,plain,
    ( ~ spl0_28
    | spl0_89
    | ~ spl0_50
    | ~ spl0_70
    | spl0_64 ),
    inference(rat,[],[s1785,s1218,s2775,s1340,s1325,s1733,s27,s1774,s2748]) ).

cnf(s2936,plain,
    ( spl0_58
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1119,s711,s2432,s2583,s2835,s2453,s1834,s944,s2429,s2603,s2306,s2935,s2847,s2319,s2923,s33,s1774,s2748,s2934,s2822,s1433,s2232,s1936,s1333,s2126,s2575,s49,s2899,s690,s722,s1425,s2000,s2933,s2045,s614,s2932,s2514,s2626,s808,s2796]) ).

cnf(s2937,plain,
    ( ~ spl0_22
    | ~ spl0_28
    | ~ spl0_89
    | ~ spl0_58 ),
    inference(rat,[],[s2171,s1005,s2779,s1529,s1119,s711,s2210,s2584,s9,s2603,s2605,s1222,s1450,s1266,s2071,s2769,s1888,s1223,s2882,s2233,s690,s1455,s27,s37]) ).

cnf(s2938,plain,
    ( ~ spl0_226
    | ~ spl0_98
    | ~ spl0_25
    | ~ spl0_89
    | ~ spl0_58 ),
    inference(rat,[],[s2171,s1005,s2779,s1529,s1119,s1223,s2882,s2233]) ).

cnf(s2939,plain,
    ( ~ spl0_237
    | spl0_186 ),
    inference(rat,[],[s2232,s1936]) ).

cnf(s2940,plain,
    ( ~ spl0_174
    | spl0_219
    | ~ spl0_250
    | ~ spl0_98
    | spl0_215
    | ~ spl0_218 ),
    inference(rat,[],[s2035,s2186,s986]) ).

cnf(s2941,plain,
    ( ~ spl0_173
    | ~ spl0_183
    | ~ spl0_145
    | spl0_226
    | ~ spl0_37
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(rat,[],[s1033,s2052,s957,s2154,s1157,s2211,s2193,s2880,s1653,s794,s996]) ).

cnf(s2942,plain,
    ( spl0_277
    | ~ spl0_145
    | ~ spl0_231
    | spl0_226
    | ~ spl0_98
    | ~ spl0_37
    | ~ spl0_70
    | ~ spl0_28
    | ~ spl0_89
    | spl0_215
    | spl0_187 ),
    inference(rat,[],[s1602,s2006,s1362,s990,s951,s2822,s989,s1805,s1476,s701,s2035,s2940,s2186,s2883,s2941,s920,s2767,s2939,s1281,s2868,s1115,s944,s808,s9,s1325,s27,s37,s1005]) ).

cnf(s2943,plain,
    ( spl0_219
    | ~ spl0_250
    | ~ spl0_145
    | spl0_226
    | ~ spl0_98
    | ~ spl0_37
    | ~ spl0_6
    | ~ spl0_28
    | spl0_215
    | ~ spl0_218 ),
    inference(rat,[],[s2941,s2883,s2868,s2940,s1118]) ).

cnf(s2944,plain,
    ( ~ spl0_51
    | ~ spl0_130
    | ~ spl0_37
    | ~ spl0_28
    | ~ spl0_89
    | ~ spl0_58
    | spl0_187 ),
    inference(rat,[],[s1321,s2784,s1840,s1035,s1400,s2344,s2868,s2059,s2822,s1805,s701,s2943,s920,s2767,s2939,s1201,s2942,s2248,s1005,s2171,s2779,s1899,s726,s724,s2210,s711,s2938,s2605,s808,s1223,s2882,s2233,s1019,s690,s1455,s2509,s9,s1325,s668,s2937,s27,s37]) ).

cnf(s2945,plain,
    ( ~ spl0_186
    | ~ spl0_226
    | ~ spl0_89
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2015,s2926,s2630,s1177,s1839,s2916,s696,s1377,s1145,s2865,s1223,s4,s2775,s1340,s49,s2944,s605,s2771,s2071,s2088,s690,s9,s1325,s668,s2937,s27,s37,s1921,s2899,s1455,s2936,s2766]) ).

cnf(s2946,plain,
    ( ~ spl0_182
    | spl0_147
    | ~ spl0_246
    | spl0_143
    | ~ spl0_73
    | ~ spl0_29
    | spl0_249 ),
    inference(rat,[],[s1805,s2640,s767,s1579,s2059]) ).

cnf(s2948,plain,
    ( ~ spl0_173
    | ~ spl0_183
    | spl0_235
    | ~ spl0_145
    | ~ spl0_37
    | ~ spl0_28 ),
    inference(rat,[],[s1024,s2793,s960,s2147,s2154,s1157,s2211,s2193,s2880,s1653,s794,s996]) ).

cnf(s2949,plain,
    ( ~ spl0_226
    | ~ spl0_89
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2880,s2193,s1611,s1157,s2147,s995,s986,s2883,s2948,s2868,s2946,s920,s2939,s2945,s1578,s1005,s2171,s2779,s1119,s808,s2796,s2882,s2233,s2509,s2916,s696,s1377,s1145,s2865,s1223,s4,s2775,s1340,s49,s2944,s605,s2771,s2071,s2088,s690,s9,s1325,s668,s2937,s27,s37,s1921,s2899,s1455,s2936,s2766]) ).

cnf(s2950,plain,
    ( ~ spl0_89
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s1578,s1422,s724,s2210,s711,s2949,s696,s1377,s2775,s1145,s49,s2944,s605,s2071,s2771,s2088,s1340,s4,s9,s1325,s668,s2937,s27,s37,s1921,s2766,s2882,s2233,s690,s2899,s1455,s2865,s1223,s2936]) ).

cnf(s2951,plain,
    ( ~ spl0_37
    | ~ spl0_28
    | spl0_89
    | spl0_64 ),
    inference(rat,[],[s49,s2605,s2928,s1823]) ).

cnf(s2952,plain,
    ( ~ spl0_28
    | spl0_187
    | spl0_64 ),
    inference(rat,[],[s2880,s2193,s1653,s1639,s794,s996,s214,s2883,s2868,s43,s990,s2059,s1535,s2045,s614,s2951,s2171,s2779,s2822,s1419,s1482,s1505,s203,s27,s2882,s2233,s2865,s1223,s156,s2899,s1455,s2936,s2766,s33,s1774,s2748,s2950]) ).

cnf(s2953,plain,
    ( spl0_187
    | spl0_64 ),
    inference(rat,[],[s1578,s2664,s1422,s2209,s2210,s2805,s711,s696,s2454,s1218,s2603,s155,s4,s1465,s2319,s49,s2526,s2923,s2605,s2622,s1823,s1222,s1776,s132,s2737,s2952,s33,s1774,s2748,s2950,s2865,s2882,s1223,s1455,s2233,s2936,s1980,s2766,s2776]) ).

cnf(s2954,plain,
    ( ~ spl0_226
    | ~ spl0_25
    | ~ spl0_37
    | ~ spl0_187 ),
    inference(rat,[],[s1757,s2059,s2867,s2868,s1763,s1605,s1697,s1119,s2355,s2356,s2822,s1159]) ).

cnf(s2955,plain,
    ( ~ spl0_51
    | ~ spl0_277
    | spl0_58
    | spl0_54
    | ~ spl0_192
    | ~ spl0_89
    | ~ spl0_187 ),
    inference(rat,[],[s2229,s2835,s920,s2240,s869,s1201,s2605]) ).

cnf(s2956,plain,
    ( ~ spl0_22
    | spl0_58
    | spl0_54
    | spl0_38
    | ~ spl0_11
    | ~ spl0_192
    | ~ spl0_7
    | ~ spl0_259
    | ~ spl0_29
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s201,s212,s1145,s1247,s49,s2955,s2624,s2766,s2953,s2865]) ).

cnf(s2957,plain,
    ( ~ spl0_174
    | ~ spl0_144
    | ~ spl0_143
    | spl0_147
    | ~ spl0_250
    | ~ spl0_98
    | ~ spl0_70
    | spl0_215
    | ~ spl0_232
    | ~ spl0_192 ),
    inference(rat,[],[s2880,s1029,s1301,s1362,s1602,s2006,s2035,s990,s2186]) ).

cnf(s2958,plain,
    ( ~ spl0_51
    | ~ spl0_70
    | spl0_58
    | spl0_215
    | spl0_54
    | spl0_226
    | ~ spl0_192
    | ~ spl0_6
    | ~ spl0_29
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s2224,s1743,s2255,s1287,s2881,s2876,s2198,s1055,s1633,s1728,s1051,s996,s2883,s2957,s1840,s1035,s1399,s2238,s2657,s1977,s2867,s2164,s1297,s2882,s2210,s605,s1115,s2059,s1289,s2771,s2868,s690,s2633,s1501,s2240,s2835,s2229,s920,s2767,s944,s869,s2955,s2605,s1239,s2356,s2953,s711,s2805,s1177]) ).

cnf(s2959,plain,
    ( ~ spl0_225
    | ~ spl0_130
    | ~ spl0_237
    | ~ spl0_147
    | ~ spl0_46
    | ~ spl0_70
    | ~ spl0_35 ),
    inference(rat,[],[s1757,s1092,s2867,s1840,s1060,s1321]) ).

cnf(s2960,plain,
    ( ~ spl0_231
    | ~ spl0_73
    | ~ spl0_50
    | ~ spl0_6 ),
    inference(rat,[],[s1578,s724,s1422]) ).

cnf(s2961,plain,
    ( ~ spl0_147
    | ~ spl0_225
    | ~ spl0_46
    | ~ spl0_70
    | spl0_58
    | ~ spl0_6
    | ~ spl0_35
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s2771,s690,s605,s1808,s2959,s869,s920,s2953]) ).

cnf(s2962,plain,
    ( spl0_147
    | spl0_143
    | spl0_58
    | spl0_54
    | spl0_240
    | ~ spl0_192
    | ~ spl0_29
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s2633,s2240,s2868,s2835,s2059,s2229]) ).

cnf(s2963,plain,
    ( ~ spl0_147
    | spl0_231
    | ~ spl0_46
    | ~ spl0_70
    | spl0_58
    | ~ spl0_232
    | ~ spl0_6
    | ~ spl0_35
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s2210,s2882,s1808,s2241,s869,s2961,s920,s2953]) ).

cnf(s2964,plain,
    ( spl0_58
    | spl0_54
    | ~ spl0_37
    | ~ spl0_28
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s2119,s1977,s2238,s1176,s1399,s2867,s1840,s2164,s1321,s1297,s2118,s605,s2882,s1289,s2771,s2210,s690,s2664,s1501,s1899,s2835,s2962,s2229,s2963,s2960,s696,s1377,s2775,s1145,s49,s2958,s668,s2956,s2766,s1239,s27,s33,s1765,s2356,s4,s1340,s2822,s2908,s9,s2603,s1450,s1495,s711,s2805,s2954,s1018,s2865,s1159,s1222,s37,s2953]) ).

cnf(s2965,plain,
    ( ~ spl0_242
    | spl0_287
    | spl0_255
    | ~ spl0_174
    | ~ spl0_248
    | ~ spl0_145
    | spl0_228
    | ~ spl0_210
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(rat,[],[s2211,s2193,s2154,s2880,s2671,s1627,s987,s1743,s1320,s951]) ).

cnf(s2966,plain,
    ( ~ spl0_46
    | spl0_73 ),
    inference(rat,[],[s1785,s1218]) ).

cnf(s2967,plain,
    ( spl0_54
    | ~ spl0_37
    | ~ spl0_28
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s1362,s2965,s1602,s2006,s990,s2883,s2941,s2344,s2868,s2059,s920,s869,s2605,s49,s2195,s2775,s155,s2966,s1578,s1005,s2171,s2779,s1899,s726,s724,s1289,s2771,s2210,s668,s690,s2882,s2937,s1455,s2233,s2964,s27,s9,s4,s1340,s2603,s1450,s2822,s1159,s711,s2954,s1222,s37,s2953]) ).

cnf(s2968,plain,
    ( ~ spl0_248
    | ~ spl0_257
    | ~ spl0_277
    | ~ spl0_343
    | ~ spl0_22
    | ~ spl0_130
    | spl0_38
    | ~ spl0_6
    | ~ spl0_29 ),
    inference(rat,[],[s201,s2319,s212,s1638,s1960,s1840,s1035,s1400,s2908]) ).

cnf(s2969,plain,
    ( spl0_237
    | ~ spl0_181
    | ~ spl0_182
    | spl0_238
    | ~ spl0_114
    | ~ spl0_192
    | ~ spl0_89 ),
    inference(rat,[],[s2273,s1432,s1977,s2059,s920]) ).

cnf(s2970,plain,
    ( spl0_70
    | ~ spl0_130
    | spl0_238
    | ~ spl0_54
    | ~ spl0_232
    | spl0_38
    | ~ spl0_192
    | spl0_326
    | ~ spl0_6
    | ~ spl0_259
    | ~ spl0_25
    | ~ spl0_28
    | ~ spl0_89
    | spl0_188 ),
    inference(rat,[],[s258,s2859,s2775,s1266,s49,s1201,s2232,s2969,s2867,s2868,s2164,s2344,s2968,s1534,s2882,s1370,s2624,s2584,s2130,s668,s27,s33,s37,s2908,s2000,s1223]) ).

cnf(s2971,plain,
    ( ~ spl0_37
    | ~ spl0_28
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s1653,s2256,s2880,s2881,s1033,s2198,s1278,s2702,s1632,s974,s1699,s990,s2883,s2941,s1176,s2868,s2664,s2867,s2946,s1578,s1432,s1605,s1005,s2218,s1833,s1840,s1321,s1534,s2118,s2882,s2963,s1370,s1000,s2960,s2319,s2966,s258,s2775,s49,s722,s1177,s2970,s605,s1289,s2771,s690,s1425,s2000,s1223,s2967,s2805,s711,s1495,s2954,s2822,s1340,s9,s1159,s2603,s1765,s1222,s1450,s2766,s1239,s2356,s2953,s27,s33,s37]) ).

cnf(s2972,plain,
    ( ~ spl0_298
    | spl0_297 ),
    inference(rat,[],[s2154,s1866]) ).

cnf(s2974,plain,
    ( ~ spl0_172
    | ~ spl0_139
    | ~ spl0_19
    | ~ spl0_215
    | ~ spl0_7
    | ~ spl0_140
    | ~ spl0_100
    | spl0_26
    | spl0_5
    | ~ spl0_28 ),
    inference(rat,[],[s1942,s951,s2211,s2224,s2116,s2207,s938,s2204]) ).

cnf(s2979,plain,
    ( ~ spl0_275
    | ~ spl0_215
    | ~ spl0_100
    | ~ spl0_187 ),
    inference(rat,[],[s2204,s2881,s2207,s2255]) ).

cnf(s2981,plain,
    ( ~ spl0_298
    | spl0_287
    | spl0_275
    | ~ spl0_22
    | ~ spl0_20
    | ~ spl0_28 ),
    inference(rat,[],[s1944,s2211,s2147,s2972,s1866]) ).

cnf(s2982,plain,
    ( ~ spl0_226
    | ~ spl0_7
    | spl0_137
    | ~ spl0_100
    | ~ spl0_22
    | spl0_54
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_89
    | ~ spl0_187 ),
    inference(rat,[],[s2880,s1302,s1024,s1944,s2793,s1728,s2883,s987,s960,s2981,s951,s2224,s2979,s1899,s1103,s2171,s2882,s1952,s1005,s2868,s1819,s1529,s1697,s2355,s2356,s27,s33,s37,s162,s2767,s869,s2605,s1769,s688]) ).

cnf(s2983,plain,
    ( ~ spl0_22
    | spl0_54
    | ~ spl0_28
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s1970,s2654,s2867,s2237,s1380,s2060,s1822,s711,s2982,s2584,s4,s9,s610,s2966,s155,s1920,s2061,s749,s1214,s1805,s2173,s767,s2229,s2835,s920,s1501,s869,s690,s2605,s2071,s1769,s1888,s1239,s2356,s2953,s27,s33,s37,s614,s688,s1377,s2319,s28,s188,s2849,s2971]) ).

cnf(s2984,plain,
    ( spl0_54
    | ~ spl0_28
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s2229,s2835,s920,s1501,s869,s690,s2605,s2071,s1762,s2088,s2822,s9,s1159,s1325,s2509,s668,s2983,s2356,s2953,s1132,s27,s37,s614,s2971]) ).

cnf(s2985,plain,
    ( ~ spl0_226
    | spl0_249
    | ~ spl0_140
    | ~ spl0_4
    | ~ spl0_264 ),
    inference(rat,[],[s1975,s2868,s1168,s1697]) ).

cnf(s2986,plain,
    ( spl0_100
    | ~ spl0_51
    | ~ spl0_28
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s1297,s2344,s2882,s2868,s2369,s1115,s1431,s2583,s711,s2985,s2835,s944,s1920,s2368,s2540,s155,s749,s2966,s1237,s610,s2603,s9,s2088,s2071,s690,s2356,s27,s33,s37,s2971,s162,s869,s2605,s2953,s668,s722,s2000,s1223,s2984]) ).

cnf(s2988,plain,
    ( ~ spl0_46
    | ~ spl0_51
    | ~ spl0_114
    | spl0_37 ),
    inference(rat,[],[s9,s2892,s610,s635,s2966,s258,s722]) ).

cnf(s2989,plain,
    ( ~ spl0_51
    | ~ spl0_28
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s2225,s2664,s2060,s2209,s1822,s2805,s711,s1697,s1064,s2868,s2059,s2369,s2882,s2397,s2584,s9,s2822,s2603,s2401,s2368,s155,s2988,s2835,s1501,s2986,s920,s668,s869,s722,s2605,s2356,s2953,s27,s33,s37,s2971,s2000,s1223,s2984]) ).

cnf(s2990,plain,
    ( ~ spl0_28
    | ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s2368,s155,s2835,s258,s1501,s1808,s2859,s1179,s668,s1325,s2603,s9,s1762,s1266,s2989,s2000,s1223,s2984,s614,s2971,s27,s37,s2356,s2953,s1132]) ).

cnf(s2991,plain,
    ( ~ spl0_25
    | spl0_147
    | ~ spl0_100
    | ~ spl0_187 ),
    inference(rat,[],[s2229,s2822,s1425,s1159,s2835,s1501,s2356]) ).

cnf(s2992,plain,
    ( ~ spl0_89
    | spl0_64 ),
    inference(rat,[],[s2000,s258,s688,s2859,s1769,s1266,s610,s2966,s2329,s2368,s2603,s2693,s2509,s2388,s2991,s920,s2835,s869,s1501,s1808,s1455,s2898,s1921,s2737,s2990,s2766,s2356,s2953]) ).

cnf(s2993,plain,
    ( ~ spl0_117
    | spl0_100
    | spl0_54
    | ~ spl0_51
    | ~ spl0_28
    | spl0_64 ),
    inference(rat,[],[s2793,s2035,s1024,s2186,s2880,s960,s2883,s1627,s2972,s1639,s1648,s2211,s2166,s2229,s2835,s2352,s2676,s734,s2090,s2225,s2237,s2060,s1764,s1822,s711,s1529,s2657,s2635,s1977,s2867,s2881,s2269,s2266,s155,s2966,s1733,s162,s2767,s869,s2605,s2953,s1888,s1377,s240,s232,s2125,s2319,s28,s188,s2849,s214,s43,s1535,s614,s2951,s1018,s1431,s668,s177,s1294,s2822,s1505,s1290,s1482,s203,s156,s2899,s2766,s33,s27,s1774,s2748,s2992,s2865]) ).

cnf(s2994,plain,
    ( spl0_100
    | spl0_54
    | ~ spl0_51
    | ~ spl0_28
    | spl0_64 ),
    inference(rat,[],[s2676,s2353,s2352,s2237,s2060,s1822,s711,s2985,s2835,s749,s2368,s1237,s2603,s9,s2771,s2235,s234,s2993,s1431,s1482,s240,s203,s232,s156,s2125,s2899,s690,s2766,s2356,s27,s614,s162,s1920,s869,s2605,s2953,s155,s2966,s1733,s2865,s1888,s668,s177,s33,s1774,s2748,s1377,s2319,s28,s188,s2849,s2951,s2992]) ).

cnf(s2995,plain,
    ( ~ spl0_226
    | spl0_215
    | ~ spl0_250
    | ~ spl0_98
    | ~ spl0_264 ),
    inference(rat,[],[s1952,s2868,s1529,s1697]) ).

cnf(s2996,plain,
    ( ~ spl0_182
    | spl0_242
    | ~ spl0_343
    | spl0_215
    | ~ spl0_100
    | ~ spl0_43
    | ~ spl0_250
    | spl0_26
    | ~ spl0_56
    | spl0_89 ),
    inference(rat,[],[s1819,s2218,s2882,s1035,s1900,s1637,s1290,s2779,s1434,s1952,s33,s1774,s2748]) ).

cnf(s2997,plain,
    ( ~ spl0_305
    | spl0_228
    | ~ spl0_349
    | spl0_226
    | ~ spl0_22
    | ~ spl0_98
    | spl0_37
    | ~ spl0_114 ),
    inference(rat,[],[s1627,s2880,s1648,s1033,s2039,s2053,s1476,s1699,s2035]) ).

cnf(s2998,plain,
    ( spl0_54
    | ~ spl0_51
    | ~ spl0_28
    | spl0_64 ),
    inference(rat,[],[s2876,s1055,s1296,s1728,s2883,s2186,s2997,s2344,s1064,s2868,s2996,s2237,s2060,s1764,s1822,s711,s2995,s2130,s1824,s2584,s2333,s9,s2640,s1018,s2603,s2061,s2401,s2368,s2835,s1501,s2994,s1377,s2319,s28,s188,s2865,s2356,s2099,s27,s2849,s2951,s162,s668,s177,s33,s1774,s2748,s2767,s1920,s869,s2605,s2953,s155,s2966,s1733,s2992]) ).

cnf(s2999,plain,
    ( spl0_100
    | ~ spl0_51
    | ~ spl0_28
    | spl0_64 ),
    inference(rat,[],[s2209,s2882,s2664,s1534,s2225,s1757,s2055,s2059,s2867,s2044,s2868,s1605,s1529,s1697,s2355,s1063,s711,s2583,s1431,s2822,s1482,s1505,s203,s156,s2899,s2766,s2356,s2953,s27,s2951,s155,s2966,s1733,s2605,s668,s177,s33,s1774,s2748,s2992,s2998]) ).

cnf(s3000,plain,
    ( ~ spl0_226
    | ~ spl0_51
    | ~ spl0_28
    | spl0_64 ),
    inference(rat,[],[s2225,s2664,s2055,s2209,s2059,s2867,s2044,s2868,s1605,s1529,s1697,s2355,s1063,s2822,s2401,s2369,s2882,s2397,s2584,s9,s2603,s2368,s2835,s1501,s2356,s2953,s2605,s668,s177,s2999,s2951,s2998,s33,s155,s2966,s1733,s2099,s27,s1774,s2748,s2992]) ).

cnf(s3001,plain,
    ( ~ spl0_51
    | ~ spl0_28
    | spl0_64 ),
    inference(rat,[],[s2225,s726,s2664,s2060,s2209,s1822,s2805,s711,s3000,s2882,s2397,s2584,s9,s2603,s2368,s2835,s1501,s2999,s2998,s668,s177,s2605,s2356,s2953,s33,s27,s1774,s2748,s2951,s155,s2966,s1733,s2992]) ).

cnf(s3002,plain,
    ( ~ spl0_98
    | ~ spl0_28
    | spl0_64 ),
    inference(rat,[],[s1431,s1482,s2583,s203,s2864,s156,s1504,s2899,s690,s711,s1501,s2985,s2835,s1920,s2368,s869,s2766,s2356,s33,s27,s1774,s2748,s2951,s155,s668,s2935,s749,s1237,s2603,s1340,s2775,s49,s3001,s2966,s1733,s2992,s2953]) ).

cnf(s3003,plain,
    ( ~ spl0_100
    | spl0_98 ),
    inference(rat,[],[s1808,s1455]) ).

cnf(s3004,plain,
    ( ~ spl0_28
    | spl0_64 ),
    inference(rat,[],[s2237,s2654,s1377,s2055,s1970,s2319,s2059,s2867,s2403,s2868,s1605,s2985,s1697,s2355,s711,s2583,s1431,s2822,s1482,s1505,s203,s2864,s156,s1504,s2899,s690,s3003,s3002,s749,s1237,s2603,s1340,s668,s2775,s2935,s49,s3001,s155,s2966,s2951,s1733,s27,s2766,s2356,s2953,s2099,s33,s1774,s2748,s2992]) ).

cnf(s3006,plain,
    ( spl0_70
    | ~ spl0_98
    | spl0_64 ),
    inference(rat,[],[s2599,s1210,s923,s749,s1920,s1237,s155,s2603,s257,s1768,s2317,s33,s1774,s2748,s869,s2953,s2695,s2774,s1223,s1776,s1823,s2992,s2737,s3004,s2776]) ).

cnf(s3007,plain,
    ( ~ spl0_98
    | spl0_64 ),
    inference(rat,[],[s2879,s1536,s2061,s1210,s749,s1237,s2603,s2306,s1000,s2847,s2319,s1159,s2923,s2514,s3006,s1776,s1823,s2776,s2953,s33,s1774,s2748,s2992,s2737,s3004]) ).

cnf(s3008,plain,
    ( spl0_54
    | spl0_64 ),
    inference(rat,[],[s749,s1237,s1430,s2603,s1000,s4,s2319,s2526,s2923,s1159,s1929,s1765,s1222,s1303,s1776,s2865,s2766,s2776,s2356,s2953,s33,s1774,s2748,s2992,s2737,s3004,s49,s2605,s3007]) ).

cnf(s3009,plain,
    ( spl0_8
    | ~ spl0_22
    | spl0_64 ),
    inference(rat,[],[s257,s2859,s2775,s607,s1340,s33,s1774,s2748,s2992,s3004,s49,s2605,s3007]) ).

cnf(s3010,plain,
    ( ~ spl0_22
    | ~ spl0_37
    | spl0_64 ),
    inference(rat,[],[s2876,s1055,s1296,s1728,s2344,s2883,s2868,s990,s1431,s1573,s1419,s2399,s203,s155,s2013,s257,s1377,s2319,s1000,s1210,s923,s749,s1237,s2603,s3009,s2099,s33,s2737,s3004,s156,s2899,s3003,s3007,s2766,s3008,s1765,s2356,s2822,s1159,s711,s2954,s1222,s1774,s2748,s2992,s2953]) ).

cnf(s3011,plain,
    ( ~ spl0_37
    | spl0_64 ),
    inference(rat,[],[s2878,s1977,s1605,s2635,s2218,s1003,s1840,s1833,s1321,s1534,s2118,s2882,s1370,s922,s2960,s2966,s605,s2775,s2771,s1340,s9,s2603,s1237,s2640,s1430,s1000,s2319,s2923,s1177,s668,s3010,s1289,s711,s2954,s1159,s1765,s1222,s2356,s2953,s33,s1774,s2748,s2992,s2737,s3004,s49,s2605,s690,s3003,s3007,s1223,s3008]) ).

cnf(s3012,plain,
    ( spl0_70
    | spl0_64 ),
    inference(rat,[],[s1697,s711,s2868,s2583,s1573,s2822,s1431,s923,s1505,s2399,s1237,s203,s155,s2603,s2013,s257,s1377,s1768,s2317,s668,s2356,s2953,s2099,s33,s1774,s2748,s2992,s156,s2899,s3003,s3007,s2766,s3008,s2695,s2774,s3011,s2737,s3004]) ).

cnf(s3013,plain,
    spl0_64,
    inference(rat,[],[s2879,s1536,s2061,s1430,s749,s1237,s2603,s2306,s1000,s2847,s2319,s1159,s2923,s2514,s3012,s3011,s3008,s3004,s33,s1774,s2748,s2992,s2953]) ).

cnf(s3014,plain,
    ~ spl0_58,
    inference(rat,[],[s1241,s3013]) ).

cnf(s3015,plain,
    spl0_73,
    inference(rat,[],[s2136,s3014,s3013]) ).

cnf(s3016,plain,
    ( ~ spl0_226
    | ~ spl0_140
    | ~ spl0_278
    | ~ spl0_98
    | spl0_219
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s2344,s1297,s2868,s2835,s1975,s1828,s2225,s1819,s1130,s2882,s2171,s1005,s1529,s2355,s1063,s1733,s582,s27,s37,s808,s2796,s3013,s3015]) ).

cnf(s3017,plain,
    ( spl0_100
    | spl0_226
    | spl0_231
    | spl0_219
    | ~ spl0_218 ),
    inference(rat,[],[s1297,s2882,s2835,s2210,s1828,s711,s2344,s2868,s1118]) ).

cnf(s3018,plain,
    ( ~ spl0_16
    | spl0_264
    | ~ spl0_98
    | ~ spl0_37
    | ~ spl0_22
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s1627,s1649,s2880,s2881,s2193,s2974,s2211,s2943,s2972,s2767,s982,s1060,s2883,s2248,s2941,s1005,s2171,s2882,s1819,s3017,s2218,s1035,s1960,s1298,s2344,s1064,s2867,s2868,s2007,s1118,s711,s3016,s749,s2779,s2333,s2435,s1824,s1481,s2624,s944,s2015,s162,s49,s1247,s212,s201,s1377,s1733,s33,s582,s1980,s808,s2796,s4,s2908,s2511,s2584,s9,s2603,s2510,s27,s1222,s37,s3013,s3015]) ).

cnf(s3019,plain,
    ( spl0_264
    | ~ spl0_98
    | ~ spl0_37
    | spl0_70
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s2171,s1005,s2882,s2248,s1130,s1321,s2237,s1651,s1829,s1380,s1064,s2867,s2868,s2007,s1118,s711,s767,s3016,s2229,s749,s920,s2835,s2779,s2333,s2939,s2240,s2435,s1824,s1008,s2624,s2015,s162,s1218,s1266,s1336,s2859,s2319,s3018,s33,s582,s1980,s808,s1181,s1733,s2892,s2908,s2511,s2584,s9,s2603,s2510,s668,s27,s1222,s37,s3013,s3014,s3015]) ).

cnf(s3020,plain,
    ( ~ spl0_226
    | ~ spl0_264
    | ~ spl0_98
    | ~ spl0_37
    | spl0_219
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s1805,s2640,s767,s3016,s2059,s2779,s2868,s1119,s2912,s1697,s1733,s582,s27,s1222,s37,s3014,s3013,s3015]) ).

cnf(s3021,plain,
    ( ~ spl0_19
    | ~ spl0_144
    | ~ spl0_178
    | ~ spl0_180
    | ~ spl0_277
    | ~ spl0_28 ),
    inference(rat,[],[s920,s2229,s2939,s2822,s1201,s1380,s49,s1960,s1247,s1733,s33,s582,s27,s37,s3013,s3015]) ).

cnf(s3022,plain,
    ( ~ spl0_18
    | ~ spl0_11
    | spl0_70
    | spl0_38
    | ~ spl0_29 ),
    inference(rat,[],[s2909,s2317,s366,s201]) ).

cnf(s3023,plain,
    ( ~ spl0_37
    | spl0_70
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s1035,s3021,s1400,s2835,s2344,s2867,s1501,s2868,s2007,s3017,s1118,s711,s2624,s3020,s1765,s3019,s808,s2511,s2584,s2605,s49,s1247,s212,s3022,s2908,s9,s2603,s2510,s1980,s27,s37,s668,s1733,s3015,s3013]) ).

cnf(s3024,plain,
    ( spl0_70
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s2831,s3016,s2333,s2614,s2779,s1824,s1377,s2615,s2126,s635,s2774,s3023,s2605,s49,s1247,s212,s3022,s2584,s2511,s2908,s2892,s1768,s9,s2603,s2510,s668,s27,s37,s1733,s1980,s808,s2796,s3013,s3015]) ).

cnf(s3026,plain,
    ( ~ spl0_179
    | ~ spl0_278
    | ~ spl0_183
    | ~ spl0_28 ),
    inference(rat,[],[s2618,s2240,s1733,s582,s27,s37,s3014,s3013,s3015]) ).

cnf(s3027,plain,
    ( ~ spl0_237
    | spl0_188
    | ~ spl0_257
    | ~ spl0_30
    | spl0_277
    | ~ spl0_180
    | ~ spl0_128
    | spl0_187
    | ~ spl0_89 ),
    inference(rat,[],[s1599,s2882,s618,s2241,s1008,s1060,s2232,s3014]) ).

cnf(s3028,plain,
    ( ~ spl0_298
    | ~ spl0_239
    | spl0_319
    | spl0_238 ),
    inference(rat,[],[s2876,s1652,s1287,s1277,s1866,s3015]) ).

cnf(s3029,plain,
    ( spl0_298
    | ~ spl0_177
    | spl0_235
    | ~ spl0_30
    | spl0_226
    | ~ spl0_6
    | ~ spl0_25 ),
    inference(rat,[],[s974,s1020,s1033,s1024,s2052,s960]) ).

cnf(s3030,plain,
    ( ~ spl0_170
    | ~ spl0_141
    | ~ spl0_140
    | ~ spl0_278
    | ~ spl0_139
    | ~ spl0_30
    | ~ spl0_180
    | ~ spl0_183
    | ~ spl0_100
    | spl0_226
    | ~ spl0_7
    | ~ spl0_6
    | ~ spl0_25
    | spl0_26
    | ~ spl0_35 ),
    inference(rat,[],[s1058,s2876,s1602,s1287,s1866,s3029,s2193,s2880,s1653,s1383,s1649,s1382,s2256,s2881,s938,s1379,s2237,s1840,s2218,s266,s2225,s1819,s2277,s1130,s1064,s718,s3013]) ).

cnf(s3031,plain,
    ( ~ spl0_141
    | ~ spl0_140
    | ~ spl0_278
    | ~ spl0_257
    | ~ spl0_30
    | spl0_277
    | ~ spl0_180
    | ~ spl0_100
    | spl0_226
    | ~ spl0_98
    | spl0_219
    | ~ spl0_37
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s1627,s1649,s2880,s2881,s2193,s2204,s2211,s2205,s2972,s982,s2883,s2943,s2941,s2171,s2882,s3030,s2767,s3027,s718,s1733,s33,s582,s2796,s1177,s2514,s4,s2892,s9,s1325,s3024,s27,s37,s1064,s2868,s1118,s808,s944,s3013,s3015]) ).

cnf(s3035,plain,
    ( spl0_224
    | ~ spl0_226
    | ~ spl0_98
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s3016,s701,s749,s9,s1325,s27,s37,s2779,s1119,s2514,s3024]) ).

cnf(s3036,plain,
    ( ~ spl0_226
    | ~ spl0_98
    | ~ spl0_37
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s2229,s2835,s2822,s928,s1805,s2333,s3035,s2912,s1733,s582,s27,s37,s2514,s3024,s3013,s3014,s3015]) ).

cnf(s3037,plain,
    ( ~ spl0_181
    | spl0_5
    | spl0_259
    | ~ spl0_232
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s2171,s2882,s1005,s1130,s1578,s2237,s724,s2092,s2007,s1733,s582,s4,s944,s927,s749,s2779,s2435,s701,s2333,s1824,s9,s1325,s27,s808,s2514,s3024,s33,s37,s3013,s3015]) ).

cnf(s3039,plain,
    ( ~ spl0_170
    | spl0_5
    | ~ spl0_100
    | spl0_228
    | spl0_226
    | ~ spl0_6
    | spl0_26 ),
    inference(rat,[],[s1840,s2218,s266,s2237,s1819,s2277,s1130,s3013]) ).

cnf(s3040,plain,
    ( spl0_5
    | spl0_259
    | ~ spl0_98
    | ~ spl0_37
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s2204,s2943,s2881,s2767,s1649,s1060,s1627,s2880,s2193,s2211,s2205,s2972,s982,s2883,s2248,s2941,s1005,s2171,s2882,s3039,s2867,s3037,s1733,s582,s2796,s1177,s711,s749,s1064,s1828,s2835,s3026,s2868,s1118,s3036,s2779,s2435,s2514,s33,s701,s2333,s1824,s9,s1325,s3024,s27,s37,s808,s3013,s3015]) ).

cnf(s3041,plain,
    ( spl0_259
    | ~ spl0_98
    | ~ spl0_37
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s1018,s2175,s3031,s1320,s2867,s1840,s2063,s2218,s266,s1819,s2277,s2882,s1599,s618,s155,s2319,s1218,s1377,s3040,s1828,s2835,s1298,s3026,s2344,s1064,s2779,s2868,s2435,s1118,s701,s749,s2333,s944,s1824,s927,s1481,s1733,s33,s2865,s582,s808,s1177,s2514,s9,s1325,s3024,s27,s37,s3036,s3013,s3015]) ).

cnf(s3042,plain,
    ( ~ spl0_224
    | ~ spl0_28 ),
    inference(rat,[],[s2229,s2835,s920,s2822,s928,s922,s1805,s2333,s1733,s582,s27,s37,s3013,s3015]) ).

cnf(s3043,plain,
    ( ~ spl0_226
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s2296,s1130,s2171,s2225,s1005,s1975,s1579,s2868,s3026,s2835,s1828,s3003,s2779,s3035,s1119,s1063,s1733,s582,s749,s808,s2796,s2514,s701,s3042,s9,s1325,s3024,s27,s37,s3013,s3015]) ).

cnf(s3044,plain,
    ( spl0_100
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s1099,s3026,s1899,s2835,s724,s1828,s3017,s2868,s1118,s3043,s808,s701,s3042,s9,s1325,s3024,s27,s37]) ).

cnf(s3045,plain,
    ( ~ spl0_145
    | ~ spl0_37
    | ~ spl0_98
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s1627,s1649,s2880,s2881,s2193,s2204,s2211,s2205,s2943,s2867,s2972,s2767,s1978,s982,s2939,s2664,s2883,s1281,s1578,s2941,s1005,s1733,s749,s2796,s2805,s1064,s2868,s1118,s3043,s808,s701,s3042,s9,s1325,s3024,s27,s37,s3013,s3015]) ).

cnf(s3046,plain,
    ( ~ spl0_298
    | spl0_147
    | ~ spl0_236
    | spl0_246
    | ~ spl0_192
    | ~ spl0_142
    | ~ spl0_169
    | ~ spl0_183
    | spl0_240
    | ~ spl0_29 ),
    inference(rat,[],[s1653,s794,s2880,s2883,s1614,s990,s1631,s1654,s2876,s2702,s1128,s1277,s1866,s3015]) ).

cnf(s3047,plain,
    ( spl0_298
    | ~ spl0_56
    | ~ spl0_186
    | spl0_235
    | ~ spl0_183
    | spl0_249
    | ~ spl0_140 ),
    inference(rat,[],[s2880,s1024,s1653,s1022,s794,s996,s2883,s982,s960]) ).

cnf(s3048,plain,
    ( spl0_188
    | ~ spl0_261
    | ~ spl0_298
    | ~ spl0_179
    | ~ spl0_192
    | spl0_310
    | ~ spl0_142
    | ~ spl0_169
    | spl0_5
    | ~ spl0_183
    | spl0_240
    | ~ spl0_6
    | spl0_187
    | ~ spl0_29 ),
    inference(rat,[],[s1653,s2880,s2256,s1614,s2881,s1631,s2166,s2876,s3046,s1128,s2237,s1840,s266,s2283,s1281,s2240,s2702,s1277,s3013,s3015,s3014]) ).

cnf(s3049,plain,
    ( ~ spl0_179
    | spl0_215
    | ~ spl0_192
    | spl0_310
    | spl0_235
    | spl0_5
    | ~ spl0_98
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s2876,s1296,s1631,s2883,s2198,s2940,s2881,s2767,s1240,s1936,s3048,s2211,s2702,s2972,s1277,s3047,s155,s1008,s2015,s2240,s1501,s749,s2796,s2892,s2805,s2344,s2882,s3039,s3044,s1064,s2868,s1118,s808,s701,s3042,s3043,s9,s1325,s27,s37,s1177,s3024,s2664,s3015,s3014]) ).

cnf(s3050,plain,
    ( ~ spl0_298
    | ~ spl0_147
    | ~ spl0_180
    | ~ spl0_183
    | ~ spl0_28 ),
    inference(rat,[],[s1624,s2880,s3028,s1653,s1649,s2256,s2881,s2166,s2211,s2205,s2972,s2635,s1281,s2232,s1936,s920,s1733,s3013,s3015]) ).

cnf(s3051,plain,
    ( spl0_5
    | spl0_145
    | ~ spl0_98
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s1728,s1055,s2015,s2876,s1008,s1296,s155,s2883,s3047,s982,s3050,s2232,s1936,s920,s2229,s2835,s3049,s1018,s2822,s1384,s2867,s1978,s1399,s724,s2664,s2238,s1899,s1103,s2171,s2882,s3039,s1733,s2865,s582,s749,s2796,s1177,s2892,s711,s2805,s1064,s2344,s2868,s1118,s3043,s808,s701,s3042,s9,s1325,s3024,s27,s37,s3044,s3013,s3015]) ).

cnf(s3052,plain,
    ( ~ spl0_278
    | ~ spl0_44
    | ~ spl0_30
    | spl0_145
    | ~ spl0_259
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s1060,s920,s2867,s1580,s1978,s1320,s2664,s1833,s2225,s1298,s1130,s2118,s864,s2882,s2835,s2171,s3026,s1733,s582,s2805,s1064,s2344,s2868,s1118,s3043,s808,s701,s3042,s9,s1325,s3024,s27,s37,s3013,s3014,s3015]) ).

cnf(s3053,plain,
    ( ~ spl0_37
    | ~ spl0_98
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s266,s2283,s1840,s1240,s1320,s2881,s1580,s938,s3050,s944,s3047,s2015,s2240,s1501,s2835,s2867,s2815,s1978,s1399,s2083,s2664,s2238,s1172,s1899,s1103,s3052,s618,s155,s2319,s1218,s1377,s1379,s3051,s3045,s3041,s1733,s749,s2796,s1177,s4,s2805,s1064,s2344,s2868,s1118,s3043,s808,s701,s3042,s9,s1325,s3024,s27,s37,s3044,s3013,s3014,s3015]) ).

cnf(s3054,plain,
    ( spl0_37
    | spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s2171,s2882,s1005,s1130,s1578,s2225,s724,s1822,s2779,s1298,s2435,s1481,s2126,s1733,s33,s582,s2514,s711,s1064,s2344,s2868,s1118,s3043,s808,s701,s3042,s9,s1325,s3024,s27,s37,s3013,s3015]) ).

cnf(s3055,plain,
    ( spl0_187
    | ~ spl0_28 ),
    inference(rat,[],[s3053,s1808,s3054,s3044,s3014]) ).

cnf(s3056,plain,
    ( ~ spl0_226
    | ~ spl0_98
    | ~ spl0_28 ),
    inference(rat,[],[s1214,s635,s2982,s2892,s4,s9,s690,s2603,s2071,s2510,s1888,s1222,s2514,s2509,s2388,s2173,s1159,s1018,s2995,s1733,s2865,s582,s27,s37,s1239,s2356,s2767,s869,s3055,s3013,s3015]) ).

cnf(s3057,plain,
    ( ~ spl0_37
    | ~ spl0_182
    | ~ spl0_98
    | ~ spl0_28 ),
    inference(rat,[],[s1297,s2164,s2882,s2867,s2210,s1978,s724,s2664,s2835,s1899,s2229,s2059,s2822,s9,s2991,s1159,s2603,s1222,s1450,s582,s27,s37,s3042,s1239,s920,s869,s3055,s1733,s711,s2805,s3056,s3015,s3013]) ).

cnf(s3058,plain,
    ( spl0_143
    | ~ spl0_182
    | ~ spl0_98
    | ~ spl0_28 ),
    inference(rat,[],[s1578,s2664,s2635,s1978,s1977,s2867,s1380,s1822,s1431,s2509,s1159,s767,s2059,s1290,s33,s2865,s582,s27,s37,s3042,s920,s869,s3055,s1733,s711,s2805,s3056,s3057,s3015,s3013]) ).

cnf(s3059,plain,
    ( spl0_231
    | ~ spl0_182
    | ~ spl0_98
    | ~ spl0_28 ),
    inference(rat,[],[s2296,s2210,s1297,s1501,s2835,s2229,s2822,s1380,s1822,s33,s582,s2356,s920,s869,s1733,s711,s3057,s2164,s2867,s1978,s2664,s1899,s3058,s27,s37,s2805,s3056,s3042,s1239,s3055,s3015,s3013]) ).

cnf(s3060,plain,
    ( ~ spl0_182
    | ~ spl0_98
    | ~ spl0_28 ),
    inference(rat,[],[s2464,s2603,s9,s724,s3059,s1899,s3058,s3057,s27,s37,s3013]) ).

cnf(s3061,plain,
    ( ~ spl0_37
    | ~ spl0_98
    | ~ spl0_28 ),
    inference(rat,[],[s724,s2210,s1899,s2882,s1103,s1297,s3026,s2835,s2229,s2822,s9,s2991,s1159,s2603,s1222,s1450,s582,s27,s37,s920,s869,s3055,s1733,s711,s3056,s2344,s2868,s3060,s3015,s3013]) ).

cnf(s3062,plain,
    ( spl0_143
    | ~ spl0_98
    | ~ spl0_28 ),
    inference(rat,[],[s1978,s2664,s2867,s2225,s1380,s2060,s1822,s1431,s2509,s1159,s767,s2229,s2835,s3026,s2779,s33,s582,s27,s37,s3042,s920,s869,s3055,s1733,s711,s2805,s3056,s1064,s2868,s3060,s3061,s3015,s3013]) ).

cnf(s3063,plain,
    ( ~ spl0_98
    | ~ spl0_28 ),
    inference(rat,[],[s2955,s944,s49,s1493,s1247,s2125,s1501,s2835,s2229,s2822,s2173,s1172,s1299,s3062,s614,s3061,s2868,s3060,s920,s869,s1733,s33,s2865,s582,s27,s37,s1239,s2356,s3055,s3014,s3013,s3015]) ).

cnf(s3065,plain,
    ( ~ spl0_180
    | ~ spl0_28 ),
    inference(rat,[],[s2229,s2835,s920,s1297,s1060,s2164,s1239,s2822,s1159,s2118,s2882,s2210,s2960,s9,s1325,s668,s711,s2954,s614,s2125,s1247,s49,s2865,s2509,s2769,s1266,s2605,s1733,s582,s27,s37,s690,s3003,s3063,s3055,s3014,s3013,s3015]) ).

cnf(s3066,plain,
    ( ~ spl0_28
    | spl0_24 ),
    inference(rat,[],[s2225,s726,s2664,s1978,s2867,s3065,s1130,s2882,s2210,s2960,s2805,s711,s9,s2954,s1325,s614,s2509,s668,s2125,s2769,s1247,s690,s1266,s49,s3003,s2605,s3063,s3055,s3042,s2865,s582,s1733,s27,s3015,s3013]) ).

cnf(s3067,plain,
    ~ spl0_28,
    inference(rat,[],[s3066,s37]) ).

cnf(s3069,plain,
    spl0_15,
    inference(rat,[],[s2737,s3067]) ).

cnf(s3071,plain,
    ( ~ spl0_235
    | spl0_54
    | ~ spl0_278
    | ~ spl0_89 ),
    inference(rat,[],[s2296,s2171,s1130,s1005,s2225,s1578,s726,s3013,s3015]) ).

cnf(s3072,plain,
    ( ~ spl0_181
    | spl0_235
    | spl0_238
    | ~ spl0_182
    | ~ spl0_98
    | spl0_187 ),
    inference(rat,[],[s610,s9,s49,s724,s1333,s1160,s1121,s711,s1529,s2635,s1977,s808,s922,s2640,s1975,s2796,s3015]) ).

cnf(s3073,plain,
    ( spl0_54
    | spl0_143
    | ~ spl0_182
    | ~ spl0_37
    | ~ spl0_98
    | spl0_187 ),
    inference(rat,[],[s2013,s1377,s2319,s930,s1922,s1380,s1805,s2867,s767,s3072,s2059,s920,s922,s2640,s1975,s2664,s3071,s1290,s2865,s2796,s1823,s33,s589,s2779,s3067,s3015]) ).

cnf(s3074,plain,
    ( ~ spl0_237
    | ~ spl0_114
    | spl0_143
    | ~ spl0_182 ),
    inference(rat,[],[s2059,s2822,s923,s1433,s922,s3069,s3015]) ).

cnf(s3075,plain,
    ( spl0_143
    | ~ spl0_182
    | ~ spl0_37
    | ~ spl0_98
    | spl0_187 ),
    inference(rat,[],[s1380,s2867,s1922,s3072,s2664,s1289,s767,s1578,s1529,s2059,s1952,s920,s2767,s3074,s930,s2319,s258,s2745,s1019,s691,s690,s1425,s2000,s3073,s1222,s1823,s33,s589,s3067,s3015,s3069,s3014]) ).

cnf(s3076,plain,
    ( ~ spl0_181
    | ~ spl0_321
    | spl0_29
    | spl0_246
    | ~ spl0_219
    | ~ spl0_232
    | ~ spl0_89
    | spl0_187 ),
    inference(rat,[],[s2013,s1218,s2859,s620,s607,s4,s668,s610,s1399,s49,s1035,s1422,s912,s1160,s3069,s3067,s3015]) ).

cnf(s3077,plain,
    ( ~ spl0_235
    | spl0_54
    | ~ spl0_219
    | ~ spl0_232
    | ~ spl0_143
    | ~ spl0_182
    | ~ spl0_35
    | ~ spl0_89
    | spl0_187 ),
    inference(rat,[],[s1115,s2452,s944,s2603,s2835,s927,s9,s2229,s1430,s701,s923,s749,s922,s1936,s2259,s668,s1952,s1381,s1018,s2822,s1384,s2867,s3076,s2238,s1899,s1578,s726,s2796,s2865,s3013,s3067,s3069,s3015]) ).

cnf(s3078,plain,
    ( spl0_54
    | ~ spl0_143
    | ~ spl0_182
    | ~ spl0_89
    | ~ spl0_37
    | spl0_187 ),
    inference(rat,[],[s912,s2867,s1035,s1384,s2218,s767,s162,s2229,s49,s2835,s1333,s920,s928,s2117,s922,s2333,s1763,s1764,s2640,s1922,s1975,s2664,s3077,s2796,s33,s711,s2805,s1121,s1119,s1222,s589,s808,s3013,s3015,s3067]) ).

cnf(s3079,plain,
    ( ~ spl0_182
    | ~ spl0_37
    | ~ spl0_98
    | spl0_187 ),
    inference(rat,[],[s2575,s668,s1430,s1381,s749,s1433,s922,s2259,s1952,s1019,s690,s1432,s1425,s2000,s3078,s1121,s1119,s3075,s808,s2796,s1222,s589,s1823,s3014,s3067,s3015]) ).

cnf(s3080,plain,
    ( spl0_224
    | ~ spl0_193
    | ~ spl0_181
    | ~ spl0_170
    | ~ spl0_142
    | spl0_143
    | ~ spl0_248
    | spl0_187 ),
    inference(rat,[],[s49,s1834,s610,s1400,s9,s1035,s701,s2807,s1828,s690,s1214,s1819,s2319,s2355,s930,s2805,s1978,s808,s2835,s1297,s3015]) ).

cnf(s3081,plain,
    ( ~ spl0_181
    | spl0_54
    | spl0_143
    | ~ spl0_37
    | ~ spl0_98
    | spl0_187 ),
    inference(rat,[],[s2063,s944,s1092,s2429,s668,s9,s1431,s724,s1922,s1160,s2805,s711,s1529,s2635,s1977,s922,s3080,s2173,s718,s2009,s808,s2796,s33,s589,s2344,s2868,s3079,s1290,s2865,s2664,s2882,s2171,s1004,s3071,s1823,s2779,s3067,s3015,s3069]) ).

cnf(s3082,plain,
    ( spl0_54
    | spl0_143
    | ~ spl0_37
    | ~ spl0_98
    | spl0_187 ),
    inference(rat,[],[s9,s610,s701,s49,s1805,s1333,s1343,s1828,s1377,s1819,s2319,s2355,s930,s2805,s1922,s1380,s767,s2229,s920,s1060,s2867,s3081,s2835,s1297,s2118,s2882,s2171,s1004,s2664,s3071,s808,s1823,s33,s589,s2344,s2868,s3079,s2779,s3015,s3067,s3014,s3069]) ).

cnf(s3085,plain,
    ( spl0_259
    | spl0_141
    | ~ spl0_54
    | ~ spl0_37
    | spl0_187 ),
    inference(rat,[],[s1330,s1381,s2835,s668,s1536,s2575,s808,s33,s690,s1425,s1222,s589,s3014]) ).

cnf(s3086,plain,
    ( spl0_141
    | ~ spl0_54
    | ~ spl0_37
    | spl0_187 ),
    inference(rat,[],[s722,s668,s49,s1381,s1333,s1330,s2835,s928,s922,s2333,s2640,s1210,s3085,s808,s2796,s1222,s589,s2000,s3013,s3015,s3067,s3014]) ).

cnf(s3087,plain,
    ( ~ spl0_54
    | ~ spl0_89
    | ~ spl0_37
    | spl0_187 ),
    inference(rat,[],[s2859,s668,s607,s722,s610,s49,s1333,s1330,s2835,s1169,s1433,s2173,s718,s3086,s258,s2745,s691,s1425,s2000,s808,s1222,s589,s3067,s3015,s3069,s3014]) ).

cnf(s3088,plain,
    ( ~ spl0_37
    | ~ spl0_98
    | spl0_187 ),
    inference(rat,[],[s2229,s2822,s2835,s920,s2173,s928,s922,s717,s2333,s2640,s1210,s1172,s1299,s3082,s3087,s2868,s3079,s33,s1823,s589,s2796,s3013,s3015,s3067]) ).

cnf(s3089,plain,
    ( spl0_219
    | ~ spl0_178
    | ~ spl0_182
    | ~ spl0_170
    | ~ spl0_218 ),
    inference(rat,[],[s1819,s2355,s1828,s1118]) ).

cnf(s3090,plain,
    ( ~ spl0_182
    | ~ spl0_141
    | ~ spl0_170
    | spl0_235
    | spl0_37
    | spl0_187 ),
    inference(rat,[],[s2013,s1377,s2847,s2306,s610,s49,s1333,s3089,s2835,s928,s1805,s922,s2333,s2640,s1975,s808,s2796,s3067,s3015,s3013]) ).

cnf(s3091,plain,
    ( ~ spl0_237
    | ~ spl0_248
    | ~ spl0_193
    | ~ spl0_170
    | ~ spl0_142
    | spl0_143
    | spl0_187 ),
    inference(rat,[],[s2878,s3080,s1060,s922,s2118,s3015,s3014]) ).

cnf(s3093,plain,
    ( spl0_219
    | ~ spl0_248
    | ~ spl0_170
    | ~ spl0_142
    | spl0_37
    | ~ spl0_218 ),
    inference(rat,[],[s2805,s1922,s2355,s1298,s1819,s1481,s1828,s2126,s2835,s1297,s3067]) ).

cnf(s3094,plain,
    ( ~ spl0_141
    | ~ spl0_170
    | spl0_235
    | spl0_143
    | spl0_37
    | spl0_187 ),
    inference(rat,[],[s2013,s1377,s1805,s2847,s701,s2306,s9,s610,s49,s1333,s3093,s3091,s2344,s2868,s3090,s2173,s718,s808,s2664,s3067,s3015]) ).

cnf(s3095,plain,
    ( spl0_235
    | spl0_54
    | spl0_143
    | spl0_37
    | spl0_187 ),
    inference(rat,[],[s1297,s2344,s2835,s2868,s2229,s2059,s2822,s3094,s2882,s2171,s1004,s2045,s614,s2779,s3069]) ).

cnf(s3096,plain,
    ( spl0_8
    | spl0_37
    | spl0_38 ),
    inference(rat,[],[s1343,s201,s1377,s14,s2847,s526,s2908,s2306,s9,s614,s3067]) ).

cnf(s3097,plain,
    ( ~ spl0_235
    | ~ spl0_8 ),
    inference(rat,[],[s2210,s1422,s711,s1168,s2882,s1130,s2225,s1578,s726,s687,s2603,s49,s610,s3013,s3015]) ).

cnf(s3098,plain,
    ( ~ spl0_259
    | spl0_37
    | spl0_187 ),
    inference(rat,[],[s922,s1333,s2640,s2126,s1210,s808,s2796,s49,s610,s3096,s1980,s3015,s3067]) ).

cnf(s3099,plain,
    ( ~ spl0_54
    | spl0_37
    | spl0_187 ),
    inference(rat,[],[s1377,s30,s2317,s584,s2575,s2695,s690,s687,s2603,s3096,s1980,s3098,s3013,s3014,s3069]) ).

cnf(s3100,plain,
    ( spl0_37
    | spl0_187 ),
    inference(rat,[],[s2099,s2437,s2748,s2514,s1247,s1504,s2125,s3095,s2865,s3099,s33,s1923,s1481,s3098,s3097,s690,s49,s687,s610,s2603,s3096,s614,s1980,s3013,s3015]) ).

cnf(s3101,plain,
    ( ~ spl0_235
    | ~ spl0_278
    | spl0_54
    | spl0_187 ),
    inference(rat,[],[s1343,s203,s1377,s159,s1465,s155,s1008,s927,s2608,s1430,s923,s749,s1599,s2333,s1763,s2240,s928,s2355,s2835,s668,s3017,s1828,s2769,s2916,s2892,s2882,s607,s9,s1130,s1422,s3097,s2225,s3071,s1578,s726,s808,s2796,s33,s589,s49,s2605,s690,s2899,s3003,s3088,s3100,s2865,s3067,s3069,s3014,s3013,s3015]) ).

cnf(s3102,plain,
    ( ~ spl0_224
    | spl0_187 ),
    inference(rat,[],[s1828,s2835,s1333,s928,s922,s2333,s808,s3003,s49,s2605,s3088,s3100,s3013,s3015]) ).

cnf(s3103,plain,
    ( spl0_143
    | spl0_54
    | spl0_187 ),
    inference(rat,[],[s1828,s1333,s2835,s3091,s1297,s2344,s2882,s2868,s2171,s1975,s1004,s2664,s3101,s2779,s808,s3003,s49,s2605,s3088,s2083,s1481,s1430,s749,s3102,s2796,s589,s3100,s3069,s3067]) ).

cnf(s3104,plain,
    ( ~ spl0_143
    | spl0_187 ),
    inference(rat,[],[s3097,s9,s1975,s701,s2868,s2435,s1299,s808,s1222,s33,s589,s3100,s1430,s749,s3102,s2796,s3067]) ).

cnf(s3105,plain,
    spl0_187,
    inference(rat,[],[s1330,s1333,s2835,s1427,s1536,s3087,s3086,s3103,s3104,s1430,s749,s3102,s49,s2605,s33,s3088,s1222,s589,s3100,s2796,s808,s3067]) ).

cnf(s3106,plain,
    ~ spl0_188,
    inference(rat,[],[s1239,s3105]) ).

cnf(s3107,plain,
    spl0_264,
    inference(rat,[],[s2356,s3105]) ).

cnf(s3108,plain,
    ( ~ spl0_37
    | ~ spl0_169
    | spl0_89
    | spl0_246 ),
    inference(rat,[],[s1422,s49,s2210,s3003,s2605,s711,s1823,s2954,s1222,s1774,s2748,s3105]) ).

cnf(s3109,plain,
    ( ~ spl0_235
    | spl0_143
    | spl0_54 ),
    inference(rat,[],[s2878,s1977,s1605,s869,s2355,s1808,s1495,s2125,s3096,s614,s3108,s526,s2882,s9,s1130,s2635,s3097,s2225,s3071,s1578,s726,s2779,s1290,s2865,s3105,s3014,s3067,s3013,s3015]) ).

cnf(s3110,plain,
    ( ~ spl0_182
    | spl0_310
    | ~ spl0_7
    | ~ spl0_6
    | ~ spl0_338
    | ~ spl0_248
    | spl0_226
    | ~ spl0_170
    | ~ spl0_142 ),
    inference(rat,[],[s266,s1840,s2277,s1320,s2657,s2057,s1645,s1035,s3013]) ).

cnf(s3111,plain,
    ( ~ spl0_37
    | spl0_143
    | spl0_54 ),
    inference(rat,[],[s2329,s1646,s1321,s1840,s266,s2277,s1064,s2868,s3110,s1092,s668,s2769,s607,s4,s9,s690,s1810,s2603,s3003,s2605,s1237,s1823,s923,s920,s2229,s2835,s1297,s2164,s1060,s2867,s1922,s2009,s2822,s2805,s1159,s33,s2954,s1222,s589,s2664,s2118,s2882,s2171,s1004,s3109,s2779,s3013,s3067,s3105,s3069,s3106,s3014]) ).

cnf(s3112,plain,
    ( spl0_70
    | spl0_25
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_8
    | spl0_54 ),
    inference(rat,[],[s2603,s2386]) ).

cnf(s3113,plain,
    ( spl0_25
    | spl0_37
    | spl0_54 ),
    inference(rat,[],[s3112,s2693,s2514,s2509,s614,s12,s2849,s3069]) ).

cnf(s3114,plain,
    ( spl0_143
    | spl0_54 ),
    inference(rat,[],[s3096,s2603,s1495,s1237,s2355,s923,s2229,s2835,s1297,s2164,s1605,s2867,s2009,s2822,s1159,s3113,s3111,s2882,s2171,s1004,s3109,s2779,s3105,s3069,s3106]) ).

cnf(s3115,plain,
    ( spl0_147
    | ~ spl0_235
    | ~ spl0_37
    | spl0_54 ),
    inference(rat,[],[s251,s1580,s2013,s2219,s1218,s928,s2745,s2835,s691,s2229,s2991,s1765,s2822,s1159,s1222,s589,s1899,s3114,s3108,s2882,s1130,s2225,s726,s1578,s3013,s3069,s3105,s3015,s3107]) ).

cnf(s3116,plain,
    ( ~ spl0_147
    | ~ spl0_89 ),
    inference(rat,[],[s922,s923,s920,s3069,s3015]) ).

cnf(s3117,plain,
    ( ~ spl0_235
    | ~ spl0_37
    | spl0_54 ),
    inference(rat,[],[s3116,s3115,s3108,s2882,s1130,s2225,s1578,s726,s3013,s3015]) ).

cnf(s3118,plain,
    ( ~ spl0_89
    | ~ spl0_37
    | spl0_54 ),
    inference(rat,[],[s527,s212,s1325,s2360,s9,s724,s2210,s2882,s1297,s1343,s2164,s2319,s2867,s1580,s1978,s2219,s2333,s1218,s928,s2745,s2835,s691,s196,s2229,s2991,s3116,s1765,s33,s711,s2805,s2954,s2822,s1159,s1222,s589,s2664,s3117,s3106,s3013,s3069,s3105,s3107]) ).

cnf(s3119,plain,
    ( ~ spl0_179
    | ~ spl0_170
    | ~ spl0_142
    | spl0_240 ),
    inference(rat,[],[s2878,s1978,s2164,s2333,s1297,s928,s3106,s3013]) ).

cnf(s3120,plain,
    ( spl0_8
    | ~ spl0_37
    | spl0_54 ),
    inference(rat,[],[s2329,s1646,s1321,s1840,s266,s2277,s2344,s1064,s2868,s1645,s1035,s1399,s668,s2769,s607,s9,s2117,s1764,s1922,s2635,s690,s3003,s2118,s1810,s2835,s3119,s2882,s3108,s1434,s33,s3114,s2664,s3117,s2805,s2954,s1222,s589,s2605,s1823,s3118,s3013,s3067,s3105,s3014]) ).

cnf(s3121,plain,
    ( ~ spl0_37
    | spl0_54 ),
    inference(rat,[],[s2603,s3120,s1237,s923,s2229,s2835,s3119,s2882,s3108,s1434,s3118,s2664,s3117,s2822,s2805,s1159,s33,s2954,s1222,s589,s3114,s3105,s3069]) ).

cnf(s3122,plain,
    spl0_54,
    inference(rat,[],[s1435,s2882,s2218,s3119,s1605,s2835,s2867,s2229,s690,s1978,s923,s2664,s49,s687,s1237,s3097,s610,s2603,s161,s3096,s2805,s1495,s2822,s1119,s1159,s3113,s3121,s3114,s3105,s3069,s3013,s3015]) ).

cnf(s3124,plain,
    spl0_114,
    inference(rat,[],[s2000,s3014,s3122]) ).

cnf(s3125,plain,
    ( ~ spl0_235
    | ~ spl0_37 ),
    inference(rat,[],[s527,s2859,s722,s258,s49,s2745,s2960,s691,s2210,s3108,s2882,s607,s9,s1130,s3097,s2225,s1578,s726,s1425,s711,s2954,s1222,s589,s3124,s3069,s3015,s3067,s3013,s3105,s3122]) ).

cnf(s3126,plain,
    ( ~ spl0_37
    | spl0_24 ),
    inference(rat,[],[s1435,s49,s2218,s610,s161,s9,s724,s2210,s2882,s1534,s1763,s1922,s2664,s3125,s690,s2805,s711,s1425,s33,s2954,s1222,s3105,s3067,s3122,s3015]) ).

cnf(s3127,plain,
    ~ spl0_37,
    inference(rat,[],[s3126,s589]) ).

cnf(s3128,plain,
    spl0_20,
    inference(rat,[],[s614,s3127]) ).

cnf(s3132,plain,
    spl0_2,
    inference(rat,[],[s2695,s3069,s3127]) ).

cnf(s3136,plain,
    spl0_130,
    inference(rat,[],[s1566,s3132]) ).

cnf(s3137,plain,
    spl0_8,
    inference(rat,[],[s2509,s581,s2693,s3096,s3122,s3128,s3069,s3127]) ).

cnf(s3138,plain,
    ~ spl0_26,
    inference(rat,[],[s161,s3137]) ).

cnf(s3139,plain,
    spl0_4,
    inference(rat,[],[s2603,s3137]) ).

cnf(s3140,plain,
    ~ spl0_51,
    inference(rat,[],[s610,s3015,s3137]) ).

cnf(s3141,plain,
    ~ spl0_65,
    inference(rat,[],[s612,s3015,s3137]) ).

cnf(s3142,plain,
    ~ spl0_235,
    inference(rat,[],[s3097,s3137]) ).

cnf(s3143,plain,
    ~ spl0_224,
    inference(rat,[],[s1237,s3105,s3139]) ).

cnf(s3144,plain,
    ~ spl0_100,
    inference(rat,[],[s687,s3013,s3139]) ).

cnf(s3145,plain,
    spl0_50,
    inference(rat,[],[s49,s3140]) ).

cnf(s3148,plain,
    ~ spl0_150,
    inference(rat,[],[s798,s3141]) ).

cnf(s3149,plain,
    spl0_142,
    inference(rat,[],[s2664,s3142]) ).

cnf(s3150,plain,
    ~ spl0_145,
    inference(rat,[],[s1004,s3069,s3142]) ).

cnf(s3151,plain,
    spl0_140,
    inference(rat,[],[s749,s3143]) ).

cnf(s3152,plain,
    ~ spl0_147,
    inference(rat,[],[s923,s3069,s3143]) ).

cnf(s3153,plain,
    spl0_86,
    inference(rat,[],[s690,s3144]) ).

cnf(s3158,plain,
    ( ~ spl0_89
    | ~ spl0_225 ),
    inference(rat,[],[s33,s1092,s1775,s1833,s1840,s2857,s2319,s1321,s258,s668,s2745,s1179,s691,s3150,s3136,s3148,s3128,s3124,s3069,s3140,s3144]) ).

cnf(s3159,plain,
    ~ spl0_170,
    inference(rat,[],[s2403,s2319,s155,s1377,s1321,s2237,s2654,s1970,s2867,s1605,s2985,s2355,s2805,s1922,s1534,s33,s1774,s2748,s3158,s1130,s2118,s3124,s3105,s3139,s3151,s3107,s3149,s3067,s3122,s3013,s3014]) ).

cnf(s3160,plain,
    spl0_169,
    inference(rat,[],[s2882,s3159]) ).

cnf(s3167,plain,
    ( spl0_141
    | spl0_143 ),
    inference(rat,[],[s1435,s2218,s1697,s1605,s2868,s2867,s2059,s2009,s2822,s2779,s3153,s3145,s3160,s3138,s3107,s3105,s3152,s3150]) ).

cnf(s3168,plain,
    spl0_70,
    inference(rat,[],[s1377,s30,s2317,s584,s3132,s3122,s3013]) ).

cnf(s3169,plain,
    spl0_25,
    inference(rat,[],[s2514,s3168]) ).

cnf(s3170,plain,
    ~ spl0_141,
    inference(rat,[],[s1159,s3105,s3169]) ).

cnf(s3174,plain,
    spl0_143,
    inference(rat,[],[s3167,s3170]) ).

cnf(s3176,plain,
    ~ spl0_246,
    inference(rat,[],[s1432,s3124,s3174]) ).

cnf(s3177,plain,
    ~ spl0_226,
    inference(rat,[],[s1119,s3169,s3174]) ).

cnf(s3179,plain,
    ~ spl0_231,
    inference(rat,[],[s1422,s3145,s3176]) ).

cnf(s3180,plain,
    spl0_232,
    inference(rat,[],[s711,s3177]) ).

cnf(s3184,plain,
    $false,
    inference(rat,[],[s1418,s3122,s3169,s3160,s3180,s3179]) ).

thf(f19659,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3184]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRA129^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n016.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 19:06:50 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  Running higher-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.34  % (774913)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.34  % (774920)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4064210644:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.34  % (774920)Instruction limit reached! 
% 0.20/0.34  % (774920)------------------------------
% 0.20/0.34  % (774920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34  % (774920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34  % (774920)CaDiCaL version: 2.1.3
% 0.20/0.34  % (774920)Termination reason: Instruction limit
% 0.20/0.34  % (774920)Termination phase: Saturation
% 0.20/0.34  % (774920)Time elapsed: 0.002 s
% 0.20/0.34  % (774920)Peak memory usage: 12 MB
% 0.20/0.34  % (774920)Instructions burned: 6 (million)
% 0.20/0.34  % (774919)lrs+10_16_si=on:nwc=1.5:random_seed=776221436:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.34  % (774918)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2834371995:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.34  % (774926)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1871003133:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.34  % (774926)Instruction limit reached! 
% 0.20/0.34  % (774926)------------------------------
% 0.20/0.34  % (774926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34  % (774926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34  % (774926)CaDiCaL version: 2.1.3
% 0.20/0.34  % (774926)Termination reason: Instruction limit
% 0.20/0.34  % (774926)Termination phase: Saturation
% 0.20/0.34  % (774926)Time elapsed: 0.002 s
% 0.20/0.34  % (774926)Peak memory usage: 12 MB
% 0.20/0.34  % (774926)Instructions burned: 4 (million)
% 0.20/0.34  % (774919)Instruction limit reached! 
% 0.20/0.34  % (774919)------------------------------
% 0.20/0.34  % (774919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34  % (774919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34  % (774919)CaDiCaL version: 2.1.3
% 0.20/0.34  % (774919)Termination reason: Instruction limit
% 0.20/0.34  % (774919)Termination phase: Saturation
% 0.20/0.34  % (774919)Time elapsed: 0.010 s
% 0.20/0.34  % (774919)Peak memory usage: 12 MB
% 0.20/0.34  % (774919)Instructions burned: 19 (million)
% 0.20/0.34  % (774921)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=3067092133:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.34  % (774923)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=191595246:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.34  % (774922)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2872085719:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.34  % (774924)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.34  % (774924)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.34  % (774931)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.34  % (774924)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=9999869:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.34  % (774930)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3248572239:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.34  % (774931)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3896150536:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.34  % (774930)Instruction limit reached! 
% 0.20/0.34  % (774930)------------------------------
% 0.20/0.34  % (774930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37  % (774930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37  % (774930)CaDiCaL version: 2.1.3
% 0.20/0.37  % (774930)Termination reason: Instruction limit
% 0.20/0.37  % (774930)Termination phase: Saturation
% 0.20/0.37  % (774930)Time elapsed: 0.004 s
% 0.20/0.37  % (774930)Peak memory usage: 11 MB
% 0.20/0.37  % (774930)Instructions burned: 6 (million)
% 0.20/0.37  % (774931)Instruction limit reached! 
% 0.20/0.37  % (774931)------------------------------
% 0.20/0.37  % (774931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37  % (774931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37  % (774931)CaDiCaL version: 2.1.3
% 0.20/0.37  % (774931)Termination reason: Instruction limit
% 0.20/0.37  % (774931)Termination phase: Saturation
% 0.20/0.37  % (774931)Time elapsed: 0.005 s
% 0.20/0.37  % (774931)Peak memory usage: 12 MB
% 0.20/0.37  % (774931)Instructions burned: 8 (million)
% 0.20/0.37  % (774922)Instruction limit reached! 
% 0.20/0.37  % (774922)------------------------------
% 0.20/0.37  % (774922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37  % (774922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37  % (774922)CaDiCaL version: 2.1.3
% 0.20/0.37  % (774922)Termination reason: Instruction limit
% 0.20/0.37  % (774922)Termination phase: Saturation
% 0.20/0.37  % (774922)Time elapsed: 0.018 s
% 0.20/0.37  % (774922)Peak memory usage: 12 MB
% 0.20/0.37  % (774922)Instructions burned: 26 (million)
% 0.20/0.37  % (774918)Instruction limit reached! 
% 0.20/0.37  % (774918)------------------------------
% 0.20/0.37  % (774918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37  % (774918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37  % (774918)CaDiCaL version: 2.1.3
% 0.20/0.37  % (774918)Termination reason: Instruction limit
% 0.20/0.37  % (774918)Termination phase: Saturation
% 0.20/0.37  % (774918)Time elapsed: 0.040 s
% 0.20/0.37  % (774918)Peak memory usage: 12 MB
% 0.20/0.37  % (774918)Instructions burned: 89 (million)
% 0.20/0.37  % (774939)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.37  % (774939)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.37  % (774939)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=107862205:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.20/0.37  % (774938)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1237745261:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.37  % (774923)Instruction limit reached! 
% 0.20/0.37  % (774923)------------------------------
% 0.20/0.37  % (774923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37  % (774923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37  % (774923)CaDiCaL version: 2.1.3
% 0.20/0.37  % (774923)Termination reason: Instruction limit
% 0.20/0.37  % (774923)Termination phase: Saturation
% 0.20/0.37  % (774923)Time elapsed: 0.036 s
% 0.20/0.37  % (774923)Peak memory usage: 12 MB
% 0.20/0.37  % (774923)Instructions burned: 77 (million)
% 0.20/0.37  % (774939)Instruction limit reached! 
% 0.20/0.37  % (774939)------------------------------
% 0.20/0.37  % (774939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37  % (774939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37  % (774939)CaDiCaL version: 2.1.3
% 0.20/0.37  % (774939)Termination reason: Instruction limit
% 0.20/0.37  % (774939)Termination phase: Saturation
% 0.20/0.37  % (774939)Time elapsed: 0.010 s
% 0.20/0.37  % (774939)Peak memory usage: 12 MB
% 0.20/0.37  % (774939)Instructions burned: 42 (million)
% 0.20/0.37  % (774940)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=3580415393:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.20/0.37  % (774941)lrs+10_1_si=on:cs=on:random_seed=2459216296:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.20/0.37  % (774938)Instruction limit reached! 
% 0.20/0.37  % (774938)------------------------------
% 0.20/0.37  % (774938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.41  % (774938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.41  % (774938)CaDiCaL version: 2.1.3
% 1.00/0.41  % (774938)Termination reason: Instruction limit
% 1.00/0.41  % (774938)Termination phase: Saturation
% 1.00/0.41  % (774938)Time elapsed: 0.008 s
% 1.00/0.41  % (774938)Peak memory usage: 12 MB
% 1.00/0.41  % (774938)Instructions burned: 12 (million)
% 1.00/0.41  % (774941)Instruction limit reached! 
% 1.00/0.41  % (774941)------------------------------
% 1.00/0.41  % (774941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.41  % (774941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.41  % (774941)CaDiCaL version: 2.1.3
% 1.00/0.41  % (774941)Termination reason: Instruction limit
% 1.00/0.41  % (774941)Termination phase: Saturation
% 1.00/0.41  % (774941)Time elapsed: 0.005 s
% 1.00/0.41  % (774941)Peak memory usage: 12 MB
% 1.00/0.41  % (774941)Instructions burned: 10 (million)
% 1.00/0.41  % (774945)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2418739511:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.00/0.41  % (774944)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.00/0.41  % (774945)Refutation not found, incomplete strategy
% 1.00/0.41  % (774945)------------------------------
% 1.00/0.41  % (774945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.41  % (774945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.41  % (774945)CaDiCaL version: 2.1.3
% 1.00/0.41  % (774945)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.41  % (774945)Time elapsed: 0.0000 s
% 1.00/0.41  % (774945)Peak memory usage: 11 MB
% 1.00/0.41  % (774945)------------------------------
% 1.00/0.41  % (774945)------------------------------
% 1.00/0.41  % (774944)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=1224786953:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.00/0.41  % (774944)Instruction limit reached! 
% 1.00/0.41  % (774944)------------------------------
% 1.00/0.41  % (774944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.41  % (774944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.41  % (774944)CaDiCaL version: 2.1.3
% 1.00/0.41  % (774944)Termination reason: Instruction limit
% 1.00/0.41  % (774944)Termination phase: Saturation
% 1.00/0.41  % (774944)Time elapsed: 0.003 s
% 1.00/0.41  % (774944)Peak memory usage: 12 MB
% 1.00/0.41  % (774944)Instructions burned: 5 (million)
% 1.00/0.41  % (774951)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1570479201:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.00/0.41  % (774948)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1378440419:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.00/0.41  % (774951)Instruction limit reached! 
% 1.00/0.41  % (774951)------------------------------
% 1.00/0.41  % (774951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.41  % (774951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.41  % (774951)CaDiCaL version: 2.1.3
% 1.00/0.41  % (774951)Termination reason: Instruction limit
% 1.00/0.41  % (774951)Termination phase: Saturation
% 1.00/0.41  % (774951)Time elapsed: 0.005 s
% 1.00/0.41  % (774951)Peak memory usage: 12 MB
% 1.00/0.41  % (774951)Instructions burned: 17 (million)
% 1.00/0.41  % (774949)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3147638472:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.00/0.41  % (774949)Refutation not found, incomplete strategy
% 1.00/0.41  % (774949)------------------------------
% 1.00/0.41  % (774949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.41  % (774949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.41  % (774949)CaDiCaL version: 2.1.3
% 1.00/0.41  % (774949)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.41  % (774949)Time elapsed: 0.001 s
% 1.00/0.41  % (774949)Peak memory usage: 11 MB
% 1.00/0.41  % (774948)Refutation not found, incomplete strategy
% 1.00/0.41  % (774948)------------------------------
% 1.00/0.44  % (774948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.44  % (774948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.44  % (774948)CaDiCaL version: 2.1.3
% 1.00/0.44  % (774948)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.44  % (774948)Time elapsed: 0.0000 s
% 1.00/0.44  % (774948)Peak memory usage: 11 MB
% 1.00/0.44  % (774949)------------------------------
% 1.00/0.44  % (774949)------------------------------
% 1.00/0.44  % (774948)------------------------------
% 1.00/0.44  % (774948)------------------------------
% 1.00/0.44  % (774953)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=489984993:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.00/0.44  % (774953)Refutation not found, incomplete strategy
% 1.00/0.44  % (774953)------------------------------
% 1.00/0.44  % (774953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.44  % (774953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.44  % (774955)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1805812450:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.00/0.44  % (774953)CaDiCaL version: 2.1.3
% 1.00/0.44  % (774953)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.44  % (774953)Time elapsed: 0.001 s
% 1.00/0.44  % (774953)Peak memory usage: 11 MB
% 1.00/0.44  % (774953)------------------------------
% 1.00/0.44  % (774953)------------------------------
% 1.00/0.44  % (774955)Instruction limit reached! 
% 1.00/0.44  % (774955)------------------------------
% 1.00/0.44  % (774955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.44  % (774955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.44  % (774955)CaDiCaL version: 2.1.3
% 1.00/0.44  % (774955)Termination reason: Instruction limit
% 1.00/0.44  % (774955)Termination phase: Saturation
% 1.00/0.44  % (774955)Time elapsed: 0.004 s
% 1.00/0.44  % (774955)Peak memory usage: 12 MB
% 1.00/0.44  % (774955)Instructions burned: 17 (million)
% 1.00/0.44  % (774940)Instruction limit reached! 
% 1.00/0.44  % (774940)------------------------------
% 1.00/0.44  % (774940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.44  % (774940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.44  % (774940)CaDiCaL version: 2.1.3
% 1.00/0.44  % (774940)Termination reason: Instruction limit
% 1.00/0.44  % (774940)Termination phase: Saturation
% 1.00/0.44  % (774940)Time elapsed: 0.042 s
% 1.00/0.44  % (774940)Peak memory usage: 12 MB
% 1.00/0.44  % (774940)Instructions burned: 87 (million)
% 1.00/0.44  % (774958)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3291550641:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.00/0.44  % (774958)Refutation not found, incomplete strategy
% 1.00/0.44  % (774958)------------------------------
% 1.00/0.44  % (774958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.44  % (774958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.44  % (774958)CaDiCaL version: 2.1.3
% 1.00/0.44  % (774958)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.44  % (774958)Time elapsed: 0.001 s
% 1.00/0.44  % (774958)Peak memory usage: 11 MB
% 1.00/0.44  % (774964)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.00/0.44  % (774964)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.00/0.44  % (774958)------------------------------
% 1.00/0.44  % (774958)------------------------------
% 1.00/0.44  % (774964)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=1064634811:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.00/0.44  % (774964)Instruction limit reached! 
% 1.00/0.44  % (774964)------------------------------
% 1.00/0.44  % (774964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.44  % (774964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.44  % (774964)CaDiCaL version: 2.1.3
% 1.00/0.44  % (774964)Termination reason: Instruction limit
% 1.00/0.48  % (774964)Termination phase: Saturation
% 1.00/0.48  % (774964)Time elapsed: 0.005 s
% 1.00/0.48  % (774964)Peak memory usage: 12 MB
% 1.00/0.48  % (774964)Instructions burned: 15 (million)
% 1.00/0.48  % (774966)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.00/0.48  % (774959)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4144434991:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.00/0.48  % (774966)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=3213389150:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.00/0.48  % (774962)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3406489662:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.00/0.48  % (774963)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1964139321:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.00/0.48  % (774968)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=3524326076:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.00/0.48  % (774924)Instruction limit reached! 
% 1.00/0.48  % (774924)------------------------------
% 1.00/0.48  % (774924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (774924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (774924)CaDiCaL version: 2.1.3
% 1.00/0.48  % (774924)Termination reason: Instruction limit
% 1.00/0.48  % (774924)Termination phase: Saturation
% 1.00/0.48  % (774924)Time elapsed: 0.112 s
% 1.00/0.48  % (774924)Peak memory usage: 12 MB
% 1.00/0.48  % (774924)Instructions burned: 158 (million)
% 1.00/0.48  % (774966)Instruction limit reached! 
% 1.00/0.48  % (774966)------------------------------
% 1.00/0.48  % (774966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (774966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (774966)CaDiCaL version: 2.1.3
% 1.00/0.48  % (774966)Termination reason: Instruction limit
% 1.00/0.48  % (774966)Termination phase: Saturation
% 1.00/0.48  % (774966)Time elapsed: 0.014 s
% 1.00/0.48  % (774966)Peak memory usage: 11 MB
% 1.00/0.48  % (774966)Instructions burned: 9 (million)
% 1.00/0.48  % (774962)Instruction limit reached! 
% 1.00/0.48  % (774962)------------------------------
% 1.00/0.48  % (774962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (774962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (774962)CaDiCaL version: 2.1.3
% 1.00/0.48  % (774962)Termination reason: Instruction limit
% 1.00/0.48  % (774962)Termination phase: Saturation
% 1.00/0.48  % (774962)Time elapsed: 0.017 s
% 1.00/0.48  % (774962)Peak memory usage: 11 MB
% 1.00/0.48  % (774962)Instructions burned: 25 (million)
% 1.00/0.48  % (774959)Instruction limit reached! 
% 1.00/0.48  % (774959)------------------------------
% 1.00/0.48  % (774959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (774959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (774959)CaDiCaL version: 2.1.3
% 1.00/0.48  % (774959)Termination reason: Instruction limit
% 1.00/0.48  % (774959)Termination phase: Saturation
% 1.00/0.48  % (774959)Time elapsed: 0.020 s
% 1.00/0.48  % (774959)Peak memory usage: 12 MB
% 1.00/0.48  % (774959)Instructions burned: 26 (million)
% 1.00/0.48  % (774974)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1224137726:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.00/0.48  % (774968)Instruction limit reached! 
% 1.00/0.48  % (774968)------------------------------
% 1.00/0.48  % (774968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (774968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (774968)CaDiCaL version: 2.1.3
% 1.00/0.48  % (774968)Termination reason: Instruction limit
% 1.00/0.48  % (774968)Termination phase: Saturation
% 1.00/0.48  % (774968)Time elapsed: 0.016 s
% 1.00/0.48  % (774968)Peak memory usage: 12 MB
% 1.00/0.48  % (774968)Instructions burned: 31 (million)
% 1.00/0.48  % (774963)Instruction limit reached! 
% 1.00/0.48  % (774963)------------------------------
% 1.00/0.48  % (774963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.55  % (774963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.55  % (774963)CaDiCaL version: 2.1.3
% 1.70/0.55  % (774963)Termination reason: Instruction limit
% 1.70/0.55  % (774963)Termination phase: Saturation
% 1.70/0.55  % (774963)Time elapsed: 0.024 s
% 1.70/0.55  % (774963)Peak memory usage: 12 MB
% 1.70/0.55  % (774963)Instructions burned: 63 (million)
% 1.70/0.55  % (774974)Instruction limit reached! 
% 1.70/0.55  % (774974)------------------------------
% 1.70/0.55  % (774974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.55  % (774974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.55  % (774974)CaDiCaL version: 2.1.3
% 1.70/0.55  % (774974)Termination reason: Instruction limit
% 1.70/0.55  % (774974)Termination phase: Saturation
% 1.70/0.55  % (774974)Time elapsed: 0.009 s
% 1.70/0.55  % (774974)Peak memory usage: 12 MB
% 1.70/0.55  % (774974)Instructions burned: 7 (million)
% 1.70/0.55  % (774976)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=965909065:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.70/0.55  % (774976)Instruction limit reached! 
% 1.70/0.55  % (774976)------------------------------
% 1.70/0.55  % (774976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.55  % (774976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.55  % (774976)CaDiCaL version: 2.1.3
% 1.70/0.55  % (774976)Termination reason: Instruction limit
% 1.70/0.55  % (774976)Termination phase: Saturation
% 1.70/0.55  % (774976)Time elapsed: 0.006 s
% 1.70/0.55  % (774976)Peak memory usage: 12 MB
% 1.70/0.55  % (774976)Instructions burned: 23 (million)
% 1.70/0.55  % (774977)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2109347333:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.70/0.55  % (774975)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=169935574:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.70/0.55  % (774983)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.70/0.55  % (774980)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1402112410:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.70/0.55  % (774980)Refutation not found, incomplete strategy
% 1.70/0.55  % (774980)------------------------------
% 1.70/0.55  % (774980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.55  % (774980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.55  % (774980)CaDiCaL version: 2.1.3
% 1.70/0.55  % (774980)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.55  % (774980)Time elapsed: 0.001 s
% 1.70/0.55  % (774980)Peak memory usage: 11 MB
% 1.70/0.55  % (774983)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1028392721:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.70/0.55  % (774980)------------------------------
% 1.70/0.55  % (774980)------------------------------
% 1.70/0.55  % (774982)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2867016472:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.70/0.55  % (774983)Instruction limit reached! 
% 1.70/0.55  % (774983)------------------------------
% 1.70/0.55  % (774983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.55  % (774983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.55  % (774983)CaDiCaL version: 2.1.3
% 1.70/0.55  % (774983)Termination reason: Instruction limit
% 1.70/0.55  % (774983)Termination phase: Saturation
% 1.70/0.55  % (774983)Time elapsed: 0.002 s
% 1.70/0.55  % (774983)Peak memory usage: 12 MB
% 1.70/0.55  % (774983)Instructions burned: 7 (million)
% 1.70/0.55  % (774979)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=271904955:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.70/0.55  % (774990)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=903803287: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)
% 2.11/0.64  % (774990)Refutation not found, incomplete strategy
% 2.11/0.64  % (774990)------------------------------
% 2.11/0.64  % (774990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.64  % (774990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.64  % (774990)CaDiCaL version: 2.1.3
% 2.11/0.64  % (774990)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.64  % (774990)Time elapsed: 0.0000 s
% 2.11/0.64  % (774990)Peak memory usage: 11 MB
% 2.11/0.64  % (774990)------------------------------
% 2.11/0.64  % (774990)------------------------------
% 2.11/0.64  % (774975)Instruction limit reached! 
% 2.11/0.64  % (774975)------------------------------
% 2.11/0.64  % (774975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.64  % (774975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.64  % (774975)CaDiCaL version: 2.1.3
% 2.11/0.64  % (774975)Termination reason: Instruction limit
% 2.11/0.64  % (774975)Termination phase: Saturation
% 2.11/0.64  % (774975)Time elapsed: 0.020 s
% 2.11/0.64  % (774975)Peak memory usage: 12 MB
% 2.11/0.64  % (774975)Instructions burned: 23 (million)
% 2.11/0.64  % (774993)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.11/0.64  % (774989)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2296064486:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.11/0.64  % (774989)Refutation not found, incomplete strategy
% 2.11/0.64  % (774989)------------------------------
% 2.11/0.64  % (774989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.64  % (774989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.64  % (774989)CaDiCaL version: 2.1.3
% 2.11/0.64  % (774989)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.64  % (774989)Time elapsed: 0.001 s
% 2.11/0.64  % (774989)Peak memory usage: 11 MB
% 2.11/0.64  % (774993)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4181378137:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.11/0.64  % (774989)------------------------------
% 2.11/0.64  % (774989)------------------------------
% 2.11/0.64  % (774993)Refutation not found, incomplete strategy
% 2.11/0.64  % (774993)------------------------------
% 2.11/0.64  % (774993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.64  % (774993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.64  % (774993)CaDiCaL version: 2.1.3
% 2.11/0.64  % (774993)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.64  % (774993)Time elapsed: 0.0000 s
% 2.11/0.64  % (774993)Peak memory usage: 11 MB
% 2.11/0.64  % (774993)Instructions burned: 1 (million)
% 2.11/0.64  % (774993)------------------------------
% 2.11/0.64  % (774993)------------------------------
% 2.11/0.64  % (774982)Instruction limit reached! 
% 2.11/0.64  % (774982)------------------------------
% 2.11/0.64  % (774982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.64  % (774982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.64  % (774982)CaDiCaL version: 2.1.3
% 2.11/0.64  % (774982)Termination reason: Instruction limit
% 2.11/0.64  % (774982)Termination phase: Saturation
% 2.11/0.64  % (774982)Time elapsed: 0.032 s
% 2.11/0.64  % (774982)Peak memory usage: 12 MB
% 2.11/0.64  % (774982)Instructions burned: 42 (million)
% 2.11/0.64  % (774997)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2350516493:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.11/0.64  % (774999)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=469261158:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.11/0.64  % (774997)Refutation not found, incomplete strategy
% 2.11/0.64  % (774997)------------------------------
% 2.11/0.64  % (774997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.64  % (774997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.64  % (774997)CaDiCaL version: 2.1.3
% 2.11/0.64  % (774997)Termination reason: Refutation not found, incomplete strategy
% 2.87/0.69  % (774997)Time elapsed: 0.002 s
% 2.87/0.69  % (774997)Peak memory usage: 12 MB
% 2.87/0.69  % (774997)Instructions burned: 2 (million)
% 2.87/0.69  % (774997)------------------------------
% 2.87/0.69  % (774997)------------------------------
% 2.87/0.69  % (774994)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3554667228:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.87/0.69  % (774998)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=1425580563:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.87/0.69  % (775002)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=2725050894:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.87/0.69  % (774994)Instruction limit reached! 
% 2.87/0.69  % (774994)------------------------------
% 2.87/0.69  % (774994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.69  % (774994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.69  % (774994)CaDiCaL version: 2.1.3
% 2.87/0.69  % (774994)Termination reason: Instruction limit
% 2.87/0.69  % (774994)Termination phase: Saturation
% 2.87/0.69  % (774994)Time elapsed: 0.022 s
% 2.87/0.69  % (774994)Peak memory usage: 12 MB
% 2.87/0.69  % (774994)Instructions burned: 23 (million)
% 2.87/0.69  % (775006)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=759234725:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.87/0.69  % (775002)Instruction limit reached! 
% 2.87/0.69  % (775002)------------------------------
% 2.87/0.69  % (775002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.69  % (775002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.69  % (775002)CaDiCaL version: 2.1.3
% 2.87/0.69  % (775002)Termination reason: Instruction limit
% 2.87/0.69  % (775002)Termination phase: Saturation
% 2.87/0.69  % (775002)Time elapsed: 0.024 s
% 2.87/0.69  % (775002)Peak memory usage: 12 MB
% 2.87/0.69  % (775002)Instructions burned: 45 (million)
% 2.87/0.69  % (775006)Refutation not found, incomplete strategy
% 2.87/0.69  % (775006)------------------------------
% 2.87/0.69  % (775006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.69  % (775006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.69  % (775006)CaDiCaL version: 2.1.3
% 2.87/0.69  % (775006)Termination reason: Refutation not found, incomplete strategy
% 2.87/0.69  % (775006)Time elapsed: 0.001 s
% 2.87/0.69  % (775006)Peak memory usage: 11 MB
% 2.87/0.69  % (775006)Instructions burned: 1 (million)
% 2.87/0.69  % (775006)------------------------------
% 2.87/0.69  % (775006)------------------------------
% 2.87/0.69  % (775009)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.87/0.69  % (775008)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2892693527:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.87/0.69  % (775009)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2065761602:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.87/0.69  % (774979)Instruction limit reached! 
% 2.87/0.69  % (774979)------------------------------
% 2.87/0.69  % (774979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.69  % (774979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.69  % (774979)CaDiCaL version: 2.1.3
% 2.87/0.69  % (774979)Termination reason: Instruction limit
% 2.87/0.69  % (774979)Termination phase: Saturation
% 2.87/0.69  % (774979)Time elapsed: 0.105 s
% 2.87/0.69  % (774979)Peak memory usage: 12 MB
% 2.87/0.69  % (774979)Instructions burned: 143 (million)
% 2.87/0.69  % (775008)Instruction limit reached! 
% 2.87/0.69  % (775008)------------------------------
% 2.87/0.69  % (775008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.69  % (775008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.69  % (775008)CaDiCaL version: 2.1.3
% 2.87/0.69  % (775008)Termination reason: Instruction limit
% 2.87/0.69  % (775008)Termination phase: Saturation
% 2.91/0.73  % (775008)Time elapsed: 0.011 s
% 2.91/0.73  % (775008)Peak memory usage: 12 MB
% 2.91/0.73  % (775008)Instructions burned: 21 (million)
% 2.91/0.73  % (775012)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1336749901:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.91/0.73  % (775012)Instruction limit reached! 
% 2.91/0.73  % (775012)------------------------------
% 2.91/0.73  % (775012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.73  % (775012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.73  % (775012)CaDiCaL version: 2.1.3
% 2.91/0.73  % (775012)Termination reason: Instruction limit
% 2.91/0.73  % (775012)Termination phase: Saturation
% 2.91/0.73  % (775012)Time elapsed: 0.008 s
% 2.91/0.73  % (775012)Peak memory usage: 12 MB
% 2.91/0.73  % (775012)Instructions burned: 14 (million)
% 2.91/0.73  % (775013)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=2587553040:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.91/0.73  % (775015)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2906812326:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.91/0.73  % (775015)Refutation not found, incomplete strategy
% 2.91/0.73  % (775015)------------------------------
% 2.91/0.73  % (775015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.73  % (775015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.73  % (775015)CaDiCaL version: 2.1.3
% 2.91/0.73  % (775015)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.73  % (775015)Time elapsed: 0.001 s
% 2.91/0.73  % (775015)Peak memory usage: 11 MB
% 2.91/0.73  % (775015)Instructions burned: 1 (million)
% 2.91/0.73  % (775015)------------------------------
% 2.91/0.73  % (775015)------------------------------
% 2.91/0.73  % (775019)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=761747491:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.91/0.73  % (774921)Instruction limit reached! 
% 2.91/0.73  % (774921)------------------------------
% 2.91/0.73  % (774921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.73  % (774921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.73  % (774921)CaDiCaL version: 2.1.3
% 2.91/0.73  % (774921)Termination reason: Instruction limit
% 2.91/0.73  % (774921)Termination phase: Saturation
% 2.91/0.73  % (774921)Time elapsed: 0.355 s
% 2.91/0.73  % (774921)Peak memory usage: 13 MB
% 2.91/0.73  % (774921)Instructions burned: 636 (million)
% 2.91/0.73  % (774999)Instruction limit reached! 
% 2.91/0.73  % (774999)------------------------------
% 2.91/0.73  % (774999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.73  % (774999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.73  % (774999)CaDiCaL version: 2.1.3
% 2.91/0.73  % (774999)Termination reason: Instruction limit
% 2.91/0.73  % (774999)Termination phase: Saturation
% 2.91/0.73  % (774999)Time elapsed: 0.151 s
% 2.91/0.73  % (774999)Peak memory usage: 13 MB
% 2.91/0.73  % (774999)Instructions burned: 856 (million)
% 2.91/0.73  % (775019)Instruction limit reached! 
% 2.91/0.73  % (775019)------------------------------
% 2.91/0.73  % (775019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.73  % (775019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.73  % (775019)CaDiCaL version: 2.1.3
% 2.91/0.73  % (775019)Termination reason: Instruction limit
% 2.91/0.73  % (775019)Termination phase: Saturation
% 2.91/0.73  % (775019)Time elapsed: 0.016 s
% 2.91/0.73  % (775019)Peak memory usage: 12 MB
% 2.91/0.73  % (775019)Instructions burned: 31 (million)
% 2.91/0.73  % (775022)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=2309335826:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.91/0.73  % (775013)Instruction limit reached! 
% 2.91/0.73  % (775013)------------------------------
% 2.91/0.73  % (775013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.73  % (775013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.73  % (775013)CaDiCaL version: 2.1.3
% 2.91/0.73  % (775013)Termination reason: Instruction limit
% 2.91/0.73  % (775013)Termination phase: Saturation
% 2.91/0.73  % (775013)Time elapsed: 0.043 s
% 2.91/0.77  % (775013)Peak memory usage: 12 MB
% 2.91/0.77  % (775013)Instructions burned: 66 (million)
% 2.91/0.77  % (775022)Instruction limit reached! 
% 2.91/0.77  % (775022)------------------------------
% 2.91/0.77  % (775022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.77  % (775022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.77  % (775022)CaDiCaL version: 2.1.3
% 2.91/0.77  % (775022)Termination reason: Instruction limit
% 2.91/0.77  % (775022)Termination phase: Saturation
% 2.91/0.77  % (775022)Time elapsed: 0.010 s
% 2.91/0.77  % (775022)Peak memory usage: 12 MB
% 2.91/0.77  % (775022)Instructions burned: 39 (million)
% 2.91/0.77  % (775023)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1736937804:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.91/0.77  % (775023)Refutation not found, incomplete strategy
% 2.91/0.77  % (775023)------------------------------
% 2.91/0.77  % (775023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.77  % (775023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.77  % (775023)CaDiCaL version: 2.1.3
% 2.91/0.77  % (775023)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.77  % (775023)Time elapsed: 0.001 s
% 2.91/0.77  % (775023)Peak memory usage: 11 MB
% 2.91/0.77  % (775023)Instructions burned: 1 (million)
% 2.91/0.77  % (775021)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1374974762:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.91/0.77  % (775023)------------------------------
% 2.91/0.77  % (775023)------------------------------
% 2.91/0.77  % (775025)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.91/0.77  % (775026)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3859740631:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 2.91/0.77  % (775026)Refutation not found, incomplete strategy
% 2.91/0.77  % (775026)------------------------------
% 2.91/0.77  % (775026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.77  % (775026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.77  % (775026)CaDiCaL version: 2.1.3
% 2.91/0.77  % (775026)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.77  % (775026)Time elapsed: 0.0000 s
% 2.91/0.77  % (775026)Peak memory usage: 11 MB
% 2.91/0.77  % (775026)------------------------------
% 2.91/0.77  % (775026)------------------------------
% 2.91/0.77  % (775025)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=260539496:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.91/0.77  % (774998)Instruction limit reached! 
% 2.91/0.77  % (774998)------------------------------
% 2.91/0.77  % (774998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.77  % (774998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.77  % (774998)CaDiCaL version: 2.1.3
% 2.91/0.77  % (774998)Termination reason: Instruction limit
% 2.91/0.77  % (774998)Termination phase: Saturation
% 2.91/0.77  % (774998)Time elapsed: 0.174 s
% 2.91/0.77  % (774998)Peak memory usage: 13 MB
% 2.91/0.77  % (774998)Instructions burned: 316 (million)
% 2.91/0.77  % (775032)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2192377231:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 2.91/0.77  % (775032)Refutation not found, incomplete strategy
% 2.91/0.77  % (775032)------------------------------
% 2.91/0.77  % (775032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.91/0.77  % (775032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/0.77  % (775032)CaDiCaL version: 2.1.3
% 2.91/0.77  % (775032)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.77  % (775032)Time elapsed: 0.0000 s
% 2.91/0.77  % (775032)Peak memory usage: 11 MB
% 2.91/0.77  % (775032)------------------------------
% 2.91/0.77  % (775032)------------------------------
% 2.91/0.77  % (775029)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2876358269:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 2.91/0.77  % (775035)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=400633421:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.49/0.84  % (775035)Refutation not found, incomplete strategy
% 3.49/0.84  % (775035)------------------------------
% 3.49/0.84  % (775035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.84  % (775035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.84  % (775035)CaDiCaL version: 2.1.3
% 3.49/0.84  % (775035)Termination reason: Refutation not found, incomplete strategy
% 3.49/0.84  % (775035)Time elapsed: 0.001 s
% 3.49/0.84  % (775035)Peak memory usage: 12 MB
% 3.49/0.84  % (775035)------------------------------
% 3.49/0.84  % (775035)------------------------------
% 3.49/0.84  % (775033)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1977623356:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.49/0.84  % (775009)Instruction limit reached! 
% 3.49/0.84  % (775009)------------------------------
% 3.49/0.84  % (775009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.84  % (775009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.84  % (775009)CaDiCaL version: 2.1.3
% 3.49/0.84  % (775009)Termination reason: Instruction limit
% 3.49/0.84  % (775009)Termination phase: Saturation
% 3.49/0.84  % (775009)Time elapsed: 0.168 s
% 3.49/0.84  % (775009)Peak memory usage: 11 MB
% 3.49/0.84  % (775009)Instructions burned: 201 (million)
% 3.49/0.84  % (775033)Refutation not found, incomplete strategy
% 3.49/0.84  % (775033)------------------------------
% 3.49/0.84  % (775033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.84  % (775033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.84  % (775033)CaDiCaL version: 2.1.3
% 3.49/0.84  % (775033)Termination reason: Refutation not found, incomplete strategy
% 3.49/0.84  % (775033)Time elapsed: 0.001 s
% 3.49/0.84  % (775033)Peak memory usage: 11 MB
% 3.49/0.84  % (775033)------------------------------
% 3.49/0.84  % (775033)------------------------------
% 3.49/0.84  % (775038)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1222395204:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.49/0.84  % (775038)Refutation not found, incomplete strategy
% 3.49/0.84  % (775038)------------------------------
% 3.49/0.84  % (775038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.84  % (775038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.84  % (775038)CaDiCaL version: 2.1.3
% 3.49/0.84  % (775038)Termination reason: Refutation not found, incomplete strategy
% 3.49/0.84  % (775038)Time elapsed: 0.001 s
% 3.49/0.84  % (775038)Peak memory usage: 11 MB
% 3.49/0.84  % (775038)Instructions burned: 1 (million)
% 3.49/0.84  % (775038)------------------------------
% 3.49/0.84  % (775038)------------------------------
% 3.49/0.84  % (775043)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2839368552:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.49/0.84  % (775040)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2045457385:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.49/0.84  % (775021)Instruction limit reached! 
% 3.49/0.84  % (775021)------------------------------
% 3.49/0.84  % (775021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.84  % (775021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.84  % (775021)CaDiCaL version: 2.1.3
% 3.49/0.84  % (775021)Termination reason: Instruction limit
% 3.49/0.84  % (775021)Termination phase: Saturation
% 3.49/0.84  % (775021)Time elapsed: 0.076 s
% 3.49/0.84  % (775021)Peak memory usage: 12 MB
% 3.49/0.84  % (775021)Instructions burned: 138 (million)
% 3.49/0.84  % (775041)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=301649154:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.49/0.84  % (775041)Refutation not found, incomplete strategy
% 3.49/0.84  % (775041)------------------------------
% 3.49/0.84  % (775041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.84  % (775041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.84  % (775041)CaDiCaL version: 2.1.3
% 3.49/0.84  % (775041)Termination reason: Refutation not found, incomplete strategy
% 3.49/0.84  % (775041)Time elapsed: 0.001 s
% 3.49/0.84  % (775041)Peak memory usage: 12 MB
% 3.49/0.84  % (775041)Instructions burned: 1 (million)
% 3.49/0.84  % (775041)------------------------------
% 3.88/0.92  % (775041)------------------------------
% 3.88/0.92  % (775029)Instruction limit reached! 
% 3.88/0.92  % (775029)------------------------------
% 3.88/0.92  % (775029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.92  % (775029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.92  % (775029)CaDiCaL version: 2.1.3
% 3.88/0.92  % (775029)Termination reason: Instruction limit
% 3.88/0.92  % (775029)Termination phase: Saturation
% 3.88/0.92  % (775029)Time elapsed: 0.065 s
% 3.88/0.92  % (775029)Peak memory usage: 12 MB
% 3.88/0.92  % (775029)Instructions burned: 98 (million)
% 3.88/0.92  % (775048)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=3031274944:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.88/0.92  % (775025)Instruction limit reached! 
% 3.88/0.92  % (775025)------------------------------
% 3.88/0.92  % (775025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.92  % (775025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.92  % (775025)CaDiCaL version: 2.1.3
% 3.88/0.92  % (775025)Termination reason: Instruction limit
% 3.88/0.92  % (775025)Termination phase: Saturation
% 3.88/0.92  % (775025)Time elapsed: 0.086 s
% 3.88/0.92  % (775025)Peak memory usage: 12 MB
% 3.88/0.92  % (775025)Instructions burned: 181 (million)
% 3.88/0.92  % (775049)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=3866993698:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2994 on theBenchmark for (2994ds/105Mi)
% 3.88/0.92  % (775048)Instruction limit reached! 
% 3.88/0.92  % (775048)------------------------------
% 3.88/0.92  % (775048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.92  % (775048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.92  % (775048)CaDiCaL version: 2.1.3
% 3.88/0.92  % (775048)Termination reason: Instruction limit
% 3.88/0.92  % (775048)Termination phase: Saturation
% 3.88/0.92  % (775048)Time elapsed: 0.017 s
% 3.88/0.92  % (775048)Peak memory usage: 12 MB
% 3.88/0.92  % (775048)Instructions burned: 70 (million)
% 3.88/0.92  % (775047)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2509342607:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.88/0.92  % (775040)Instruction limit reached! 
% 3.88/0.92  % (775040)------------------------------
% 3.88/0.92  % (775040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.92  % (775040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.92  % (775040)CaDiCaL version: 2.1.3
% 3.88/0.92  % (775040)Termination reason: Instruction limit
% 3.88/0.92  % (775040)Termination phase: Saturation
% 3.88/0.92  % (775040)Time elapsed: 0.036 s
% 3.88/0.92  % (775040)Peak memory usage: 12 MB
% 3.88/0.92  % (775040)Instructions burned: 45 (million)
% 3.88/0.92  % (775051)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=1254567652:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 3.88/0.92  % (775051)Refutation not found, incomplete strategy
% 3.88/0.92  % (775051)------------------------------
% 3.88/0.92  % (775051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.92  % (775051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/0.92  % (775051)CaDiCaL version: 2.1.3
% 3.88/0.92  % (775051)Termination reason: Refutation not found, incomplete strategy
% 3.88/0.92  % (775051)Time elapsed: 0.001 s
% 3.88/0.92  % (775051)Peak memory usage: 12 MB
% 3.88/0.92  % (775051)------------------------------
% 3.88/0.92  % (775051)------------------------------
% 3.88/0.92  % (775053)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=4229146841:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 3.88/0.92  % (775053)Refutation not found, incomplete strategy
% 3.88/0.92  % (775053)------------------------------
% 3.88/0.92  % (775053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/0.92  % (775053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.00  % (775053)CaDiCaL version: 2.1.3
% 3.88/1.00  % (775053)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.00  % (775053)Time elapsed: 0.0000 s
% 3.88/1.00  % (775053)Peak memory usage: 11 MB
% 3.88/1.00  % (775053)------------------------------
% 3.88/1.00  % (775053)------------------------------
% 3.88/1.00  % (775059)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1160065702:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 3.88/1.00  % (775055)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3715146310:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 3.88/1.00  % (775057)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=860553117:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 3.88/1.00  % (775059)Instruction limit reached! 
% 3.88/1.00  % (775059)------------------------------
% 3.88/1.00  % (775059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/1.00  % (775059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.00  % (775059)CaDiCaL version: 2.1.3
% 3.88/1.00  % (775059)Termination reason: Instruction limit
% 3.88/1.00  % (775059)Termination phase: Saturation
% 3.88/1.00  % (775059)Time elapsed: 0.021 s
% 3.88/1.00  % (775059)Peak memory usage: 12 MB
% 3.88/1.00  % (775059)Instructions burned: 93 (million)
% 3.88/1.00  % (775057)Instruction limit reached! 
% 3.88/1.00  % (775057)------------------------------
% 3.88/1.00  % (775057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/1.00  % (775057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.00  % (775057)CaDiCaL version: 2.1.3
% 3.88/1.00  % (775057)Termination reason: Instruction limit
% 3.88/1.00  % (775057)Termination phase: Saturation
% 3.88/1.00  % (775057)Time elapsed: 0.019 s
% 3.88/1.00  % (775057)Peak memory usage: 12 MB
% 3.88/1.00  % (775057)Instructions burned: 35 (million)
% 3.88/1.00  % (775063)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=865735404:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 3.88/1.00  % (775063)Refutation not found, incomplete strategy
% 3.88/1.00  % (775063)------------------------------
% 3.88/1.00  % (775063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/1.00  % (775063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.00  % (775063)CaDiCaL version: 2.1.3
% 3.88/1.00  % (775063)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.00  % (775063)Time elapsed: 0.0000 s
% 3.88/1.00  % (775063)Peak memory usage: 11 MB
% 3.88/1.00  % (775063)------------------------------
% 3.88/1.00  % (775063)------------------------------
% 3.88/1.00  % (775049)Instruction limit reached! 
% 3.88/1.00  % (775049)------------------------------
% 3.88/1.00  % (775049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/1.00  % (775049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.00  % (775049)CaDiCaL version: 2.1.3
% 3.88/1.00  % (775049)Termination reason: Instruction limit
% 3.88/1.00  % (775049)Termination phase: Saturation
% 3.88/1.00  % (775049)Time elapsed: 0.057 s
% 3.88/1.00  % (775049)Peak memory usage: 12 MB
% 3.88/1.00  % (775049)Instructions burned: 107 (million)
% 3.88/1.00  % (775064)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1842109739:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 3.88/1.00  % (775066)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=1037301964:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 3.88/1.00  % (775064)Instruction limit reached! 
% 3.88/1.00  % (775064)------------------------------
% 3.88/1.00  % (775064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.88/1.00  % (775064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.00  % (775064)CaDiCaL version: 2.1.3
% 3.88/1.00  % (775064)Termination reason: Instruction limit
% 3.88/1.00  % (775064)Termination phase: Saturation
% 3.88/1.00  % (775064)Time elapsed: 0.011 s
% 3.88/1.00  % (775064)Peak memory usage: 12 MB
% 3.88/1.00  % (775064)Instructions burned: 22 (million)
% 3.88/1.00  % (775067)lrs+10_1_sil=128000:si=on:urr=on:random_seed=19393376:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 5.36/1.09  % (775067)Refutation not found, incomplete strategy
% 5.36/1.09  % (775067)------------------------------
% 5.36/1.09  % (775067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.09  % (775067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.09  % (775067)CaDiCaL version: 2.1.3
% 5.36/1.09  % (775067)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.09  % (775067)Time elapsed: 0.001 s
% 5.36/1.09  % (775067)Peak memory usage: 11 MB
% 5.36/1.09  % (775067)------------------------------
% 5.36/1.09  % (775067)------------------------------
% 5.36/1.09  % (775047)Instruction limit reached! 
% 5.36/1.09  % (775047)------------------------------
% 5.36/1.09  % (775047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.09  % (775047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.09  % (775047)CaDiCaL version: 2.1.3
% 5.36/1.09  % (775047)Termination reason: Instruction limit
% 5.36/1.09  % (775047)Termination phase: Saturation
% 5.36/1.09  % (775047)Time elapsed: 0.076 s
% 5.36/1.09  % (775047)Peak memory usage: 12 MB
% 5.36/1.09  % (775047)Instructions burned: 96 (million)
% 5.36/1.09  % (774977)Instruction limit reached! 
% 5.36/1.09  % (774977)------------------------------
% 5.36/1.09  % (774977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.09  % (774977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.09  % (774977)CaDiCaL version: 2.1.3
% 5.36/1.09  % (774977)Termination reason: Instruction limit
% 5.36/1.09  % (774977)Termination phase: Saturation
% 5.36/1.09  % (774977)Time elapsed: 0.422 s
% 5.36/1.09  % (774977)Peak memory usage: 12 MB
% 5.36/1.09  % (774977)Instructions burned: 1240 (million)
% 5.36/1.09  % (775070)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.36/1.09  % (775072)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=2496775785:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 5.36/1.09  % (775074)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.36/1.09  % (775074)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=791607945:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 5.36/1.09  % (775070)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=4227894855:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.36/1.09  % (775073)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=432480678:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 5.36/1.09  % (775073)Refutation not found, incomplete strategy
% 5.36/1.09  % (775073)------------------------------
% 5.36/1.09  % (775073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.09  % (775073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.09  % (775073)CaDiCaL version: 2.1.3
% 5.36/1.09  % (775073)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.09  % (775073)Time elapsed: 0.0000 s
% 5.36/1.09  % (775073)Peak memory usage: 11 MB
% 5.36/1.09  % (775073)------------------------------
% 5.36/1.09  % (775073)------------------------------
% 5.36/1.09  % (775066)Instruction limit reached! 
% 5.36/1.09  % (775066)------------------------------
% 5.36/1.09  % (775066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.09  % (775066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.09  % (775066)CaDiCaL version: 2.1.3
% 5.36/1.09  % (775066)Termination reason: Instruction limit
% 5.36/1.09  % (775066)Termination phase: Saturation
% 5.36/1.09  % (775066)Time elapsed: 0.078 s
% 5.36/1.09  % (775066)Peak memory usage: 14 MB
% 5.36/1.09  % (775066)Instructions burned: 342 (million)
% 5.36/1.09  % (775080)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3294555375:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 5.36/1.09  % (775079)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1114770455:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 5.36/1.14  % (775080)Refutation not found, incomplete strategy
% 5.36/1.14  % (775080)------------------------------
% 5.36/1.14  % (775080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.14  % (775080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.14  % (775080)CaDiCaL version: 2.1.3
% 5.36/1.14  % (775080)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.14  % (775080)Time elapsed: 0.0000 s
% 5.36/1.14  % (775080)Peak memory usage: 11 MB
% 5.36/1.14  % (775080)Instructions burned: 1 (million)
% 5.36/1.14  % (775080)------------------------------
% 5.36/1.14  % (775080)------------------------------
% 5.36/1.14  % (775070)Instruction limit reached! 
% 5.36/1.14  % (775070)------------------------------
% 5.36/1.14  % (775070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.14  % (775070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.14  % (775070)CaDiCaL version: 2.1.3
% 5.36/1.14  % (775070)Termination reason: Instruction limit
% 5.36/1.14  % (775070)Termination phase: Saturation
% 5.36/1.14  % (775070)Time elapsed: 0.062 s
% 5.36/1.14  % (775070)Peak memory usage: 12 MB
% 5.36/1.14  % (775070)Instructions burned: 138 (million)
% 5.36/1.14  % (775084)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=3711317227:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/9840Mi)
% 5.36/1.14  % (775083)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=937613060:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.36/1.14  % (775043)Instruction limit reached! 
% 5.36/1.14  % (775043)------------------------------
% 5.36/1.14  % (775043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.14  % (775043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.14  % (775043)CaDiCaL version: 2.1.3
% 5.36/1.14  % (775043)Termination reason: Instruction limit
% 5.36/1.14  % (775043)Termination phase: Saturation
% 5.36/1.14  % (775043)Time elapsed: 0.228 s
% 5.36/1.14  % (775043)Peak memory usage: 12 MB
% 5.36/1.14  % (775043)Instructions burned: 450 (million)
% 5.36/1.14  % (775087)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3548358037:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 5.36/1.14  % (775087)Refutation not found, incomplete strategy
% 5.36/1.14  % (775087)------------------------------
% 5.36/1.14  % (775087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.14  % (775087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.14  % (775087)CaDiCaL version: 2.1.3
% 5.36/1.14  % (775087)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.14  % (775087)Time elapsed: 0.001 s
% 5.36/1.14  % (775087)Peak memory usage: 11 MB
% 5.36/1.14  % (775087)------------------------------
% 5.36/1.14  % (775087)------------------------------
% 5.36/1.14  % (775089)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.36/1.14  % (775089)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=3721523809:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.36/1.14  % (775079)Instruction limit reached! 
% 5.36/1.14  % (775079)------------------------------
% 5.36/1.14  % (775079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.14  % (775079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.14  % (775079)CaDiCaL version: 2.1.3
% 5.36/1.14  % (775079)Termination reason: Instruction limit
% 5.36/1.14  % (775079)Termination phase: Saturation
% 5.36/1.14  % (775079)Time elapsed: 0.086 s
% 5.36/1.14  % (775079)Peak memory usage: 12 MB
% 5.36/1.14  % (775079)Instructions burned: 116 (million)
% 5.36/1.14  % (775055)Instruction limit reached! 
% 5.36/1.14  % (775055)------------------------------
% 5.36/1.14  % (775055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.36/1.14  % (775055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.23  % (775055)CaDiCaL version: 2.1.3
% 6.04/1.23  % (775055)Termination reason: Instruction limit
% 6.04/1.23  % (775055)Termination phase: Saturation
% 6.04/1.23  % (775055)Time elapsed: 0.218 s
% 6.04/1.23  % (775055)Peak memory usage: 13 MB
% 6.04/1.23  % (775055)Instructions burned: 495 (million)
% 6.04/1.23  % (775092)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 6.04/1.23  % (775092)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 6.04/1.23  % (775092)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=1234282005:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 6.04/1.23  % (775091)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2256447080:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 6.04/1.23  % (775074)Instruction limit reached! 
% 6.04/1.23  % (775074)------------------------------
% 6.04/1.23  % (775074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.04/1.23  % (775074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.23  % (775074)CaDiCaL version: 2.1.3
% 6.04/1.23  % (775074)Termination reason: Instruction limit
% 6.04/1.23  % (775074)Termination phase: Saturation
% 6.04/1.23  % (775074)Time elapsed: 0.175 s
% 6.04/1.23  % (775074)Peak memory usage: 12 MB
% 6.04/1.23  % (775074)Instructions burned: 375 (million)
% 6.04/1.23  % (775095)dis+10_2_sil=128000:si=on:random_seed=1782890296:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2991 on theBenchmark for (2991ds/339Mi)
% 6.04/1.23  % (775095)Refutation not found, incomplete strategy
% 6.04/1.23  % (775095)------------------------------
% 6.04/1.23  % (775095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.04/1.23  % (775095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.23  % (775095)CaDiCaL version: 2.1.3
% 6.04/1.23  % (775095)Termination reason: Refutation not found, incomplete strategy
% 6.04/1.23  % (775095)Time elapsed: 0.0000 s
% 6.04/1.23  % (775095)Peak memory usage: 11 MB
% 6.04/1.23  % (775095)------------------------------
% 6.04/1.23  % (775095)------------------------------
% 6.04/1.23  % (775091)Instruction limit reached! 
% 6.04/1.23  % (775091)------------------------------
% 6.04/1.23  % (775091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.04/1.23  % (775091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.23  % (775091)CaDiCaL version: 2.1.3
% 6.04/1.23  % (775091)Termination reason: Instruction limit
% 6.04/1.23  % (775091)Termination phase: Saturation
% 6.04/1.23  % (775091)Time elapsed: 0.032 s
% 6.04/1.23  % (775091)Peak memory usage: 12 MB
% 6.04/1.23  % (775091)Instructions burned: 35 (million)
% 6.04/1.23  % (775072)Instruction limit reached! 
% 6.04/1.23  % (775072)------------------------------
% 6.04/1.23  % (775072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.04/1.23  % (775072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.23  % (775072)CaDiCaL version: 2.1.3
% 6.04/1.23  % (775072)Termination reason: Instruction limit
% 6.04/1.23  % (775072)Termination phase: Saturation
% 6.04/1.23  % (775072)Time elapsed: 0.215 s
% 6.04/1.23  % (775072)Peak memory usage: 12 MB
% 6.04/1.23  % (775072)Instructions burned: 340 (million)
% 6.04/1.23  % (775097)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3269443996:i=111:add=on:fgj=on:rtra=on:fdi=1024_2991 on theBenchmark for (2991ds/111Mi)
% 6.04/1.23  % (775098)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=2463121959:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/122Mi)
% 6.04/1.23  % (775098)Refutation not found, incomplete strategy
% 6.04/1.23  % (775098)------------------------------
% 6.04/1.23  % (775098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.04/1.23  % (775098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.04/1.23  % (775098)CaDiCaL version: 2.1.3
% 6.04/1.23  % (775098)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.33  % (775098)Time elapsed: 0.001 s
% 6.39/1.33  % (775098)Peak memory usage: 12 MB
% 6.39/1.33  % (775098)------------------------------
% 6.39/1.33  % (775098)------------------------------
% 6.39/1.33  % (775089)Instruction limit reached! 
% 6.39/1.33  % (775089)------------------------------
% 6.39/1.33  % (775089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.33  % (775089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.33  % (775089)CaDiCaL version: 2.1.3
% 6.39/1.33  % (775089)Termination reason: Instruction limit
% 6.39/1.33  % (775089)Termination phase: Saturation
% 6.39/1.33  % (775089)Time elapsed: 0.100 s
% 6.39/1.33  % (775089)Peak memory usage: 12 MB
% 6.39/1.33  % (775089)Instructions burned: 271 (million)
% 6.39/1.33  % (775099)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=671270063:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/136Mi)
% 6.39/1.33  % (775099)Refutation not found, incomplete strategy
% 6.39/1.33  % (775099)------------------------------
% 6.39/1.33  % (775099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.33  % (775099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.33  % (775099)CaDiCaL version: 2.1.3
% 6.39/1.33  % (775099)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.33  % (775099)Time elapsed: 0.002 s
% 6.39/1.33  % (775099)Peak memory usage: 11 MB
% 6.39/1.33  % (775102)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3310194132:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/232Mi)
% 6.39/1.33  % (775099)Instructions burned: 1 (million)
% 6.39/1.33  % (775102)Refutation not found, incomplete strategy
% 6.39/1.33  % (775102)------------------------------
% 6.39/1.33  % (775102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.33  % (775102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.33  % (775102)CaDiCaL version: 2.1.3
% 6.39/1.33  % (775102)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.33  % (775102)Time elapsed: 0.0000 s
% 6.39/1.33  % (775102)Peak memory usage: 11 MB
% 6.39/1.33  % (775099)------------------------------
% 6.39/1.33  % (775099)------------------------------
% 6.39/1.33  % (775102)------------------------------
% 6.39/1.33  % (775102)------------------------------
% 6.39/1.33  % (775106)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.39/1.33  % (775103)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=590584138:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/1254Mi)
% 6.39/1.33  % (775106)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=2586121755:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 6.39/1.33  % (775103)Refutation not found, incomplete strategy
% 6.39/1.33  % (775103)------------------------------
% 6.39/1.33  % (775103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.33  % (775103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.33  % (775103)CaDiCaL version: 2.1.3
% 6.39/1.33  % (775103)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.33  % (775103)Time elapsed: 0.002 s
% 6.39/1.33  % (775103)Peak memory usage: 11 MB
% 6.39/1.33  % (775103)Instructions burned: 3 (million)
% 6.39/1.33  % (775103)------------------------------
% 6.39/1.33  % (775103)------------------------------
% 6.39/1.33  % (775097)Instruction limit reached! 
% 6.39/1.33  % (775097)------------------------------
% 6.39/1.33  % (775097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/1.33  % (775097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.33  % (775097)CaDiCaL version: 2.1.3
% 6.39/1.33  % (775097)Termination reason: Instruction limit
% 6.39/1.33  % (775097)Termination phase: Saturation
% 6.39/1.33  % (775097)Time elapsed: 0.052 s
% 6.39/1.33  % (775097)Peak memory usage: 12 MB
% 6.39/1.33  % (775097)Instructions burned: 112 (million)
% 6.39/1.33  % (775107)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=207459153:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 6.39/1.33  % (775107)Refutation not found, incomplete strategy
% 7.21/1.50  % (775107)------------------------------
% 7.21/1.50  % (775107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/1.50  % (775107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.50  % (775107)CaDiCaL version: 2.1.3
% 7.21/1.50  % (775107)Termination reason: Refutation not found, incomplete strategy
% 7.21/1.50  % (775107)Time elapsed: 0.002 s
% 7.21/1.50  % (775107)Peak memory usage: 12 MB
% 7.21/1.50  % (775107)Instructions burned: 2 (million)
% 7.21/1.50  % (775107)------------------------------
% 7.21/1.50  % (775107)------------------------------
% 7.21/1.50  % (775083)Instruction limit reached! 
% 7.21/1.50  % (775083)------------------------------
% 7.21/1.50  % (775083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/1.50  % (775083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.50  % (775083)CaDiCaL version: 2.1.3
% 7.21/1.50  % (775083)Termination reason: Instruction limit
% 7.21/1.50  % (775083)Termination phase: Saturation
% 7.21/1.50  % (775083)Time elapsed: 0.208 s
% 7.21/1.50  % (775083)Peak memory usage: 12 MB
% 7.21/1.50  % (775083)Instructions burned: 271 (million)
% 7.21/1.50  % (775111)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1578723161:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/212Mi)
% 7.21/1.50  % (775111)Refutation not found, incomplete strategy
% 7.21/1.50  % (775111)------------------------------
% 7.21/1.50  % (775111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/1.50  % (775111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.50  % (775111)CaDiCaL version: 2.1.3
% 7.21/1.50  % (775111)Termination reason: Refutation not found, incomplete strategy
% 7.21/1.50  % (775111)Time elapsed: 0.001 s
% 7.21/1.50  % (775111)Peak memory usage: 11 MB
% 7.21/1.50  % (775111)------------------------------
% 7.21/1.50  % (775111)------------------------------
% 7.21/1.50  % (775110)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=2710209146:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/865Mi)
% 7.21/1.50  % (775113)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2530759762:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 7.21/1.50  % (775113)Refutation not found, incomplete strategy
% 7.21/1.50  % (775113)------------------------------
% 7.21/1.50  % (775113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/1.50  % (775113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.50  % (775113)CaDiCaL version: 2.1.3
% 7.21/1.50  % (775113)Termination reason: Refutation not found, incomplete strategy
% 7.21/1.50  % (775113)Time elapsed: 0.001 s
% 7.21/1.50  % (775113)Peak memory usage: 11 MB
% 7.21/1.50  % (775113)------------------------------
% 7.21/1.50  % (775113)------------------------------
% 7.21/1.50  % (775115)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1373230106:st=1.5:i=346:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/346Mi)
% 7.21/1.50  % (775115)Refutation not found, incomplete strategy
% 7.21/1.50  % (775115)------------------------------
% 7.21/1.50  % (775115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.21/1.50  % (775115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.50  % (775115)CaDiCaL version: 2.1.3
% 7.21/1.50  % (775115)Termination reason: Refutation not found, incomplete strategy
% 7.21/1.50  % (775115)Time elapsed: 0.002 s
% 7.21/1.50  % (775115)Peak memory usage: 11 MB
% 7.21/1.50  % (775115)Instructions burned: 1 (million)
% 7.21/1.50  % (775116)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1926223946:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/152Mi)
% 7.21/1.50  % (775115)------------------------------
% 7.21/1.50  % (775115)------------------------------
% 7.21/1.50  % (775119)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2686940447:i=75:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/75Mi)
% 7.21/1.50  % (775122)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2463912166:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/387Mi)
% 7.21/1.50  % (775122)Refutation not found, incomplete strategy
% 7.21/1.50  % (775122)------------------------------
% 7.88/1.76  % (775122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.76  % (775122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.76  % (775122)CaDiCaL version: 2.1.3
% 7.88/1.76  % (775122)Termination reason: Refutation not found, incomplete strategy
% 7.88/1.76  % (775122)Time elapsed: 0.001 s
% 7.88/1.76  % (775122)Peak memory usage: 11 MB
% 7.88/1.76  % (775122)Instructions burned: 1 (million)
% 7.88/1.76  % (775122)------------------------------
% 7.88/1.76  % (775122)------------------------------
% 7.88/1.76  % (775125)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=961762841:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2989 on theBenchmark for (2989ds/148Mi)
% 7.88/1.76  % (775119)Instruction limit reached! 
% 7.88/1.76  % (775119)------------------------------
% 7.88/1.76  % (775119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.76  % (775119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.76  % (775119)CaDiCaL version: 2.1.3
% 7.88/1.76  % (775119)Termination reason: Instruction limit
% 7.88/1.76  % (775119)Termination phase: Saturation
% 7.88/1.76  % (775119)Time elapsed: 0.050 s
% 7.88/1.76  % (775119)Peak memory usage: 12 MB
% 7.88/1.76  % (775119)Instructions burned: 76 (million)
% 7.88/1.76  % (775127)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=437769298:i=161:piset=and:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/161Mi)
% 7.88/1.76  % (775116)Instruction limit reached! 
% 7.88/1.76  % (775116)------------------------------
% 7.88/1.76  % (775116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.76  % (775116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.76  % (775116)CaDiCaL version: 2.1.3
% 7.88/1.76  % (775116)Termination reason: Instruction limit
% 7.88/1.76  % (775116)Termination phase: Saturation
% 7.88/1.76  % (775116)Time elapsed: 0.088 s
% 7.88/1.76  % (775116)Peak memory usage: 12 MB
% 7.88/1.76  % (775116)Instructions burned: 153 (million)
% 7.88/1.76  % (775129)lrs+10_1_sil=128000:si=on:random_seed=1939366191:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/888Mi)
% 7.88/1.76  % (775129)Refutation not found, incomplete strategy
% 7.88/1.76  % (775129)------------------------------
% 7.88/1.76  % (775129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.76  % (775129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.76  % (775129)CaDiCaL version: 2.1.3
% 7.88/1.76  % (775129)Termination reason: Refutation not found, incomplete strategy
% 7.88/1.76  % (775129)Time elapsed: 0.001 s
% 7.88/1.76  % (775129)Peak memory usage: 11 MB
% 7.88/1.76  % (775129)------------------------------
% 7.88/1.76  % (775129)------------------------------
% 7.88/1.76  % (775106)Instruction limit reached! 
% 7.88/1.76  % (775106)------------------------------
% 7.88/1.76  % (775106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.76  % (775106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.76  % (775106)CaDiCaL version: 2.1.3
% 7.88/1.76  % (775106)Termination reason: Instruction limit
% 7.88/1.76  % (775106)Termination phase: Saturation
% 7.88/1.76  % (775106)Time elapsed: 0.190 s
% 7.88/1.76  % (775106)Peak memory usage: 13 MB
% 7.88/1.76  % (775106)Instructions burned: 281 (million)
% 7.88/1.76  % (775125)Instruction limit reached! 
% 7.88/1.76  % (775125)------------------------------
% 7.88/1.76  % (775125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.76  % (775125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.76  % (775125)CaDiCaL version: 2.1.3
% 7.88/1.76  % (775125)Termination reason: Instruction limit
% 7.88/1.76  % (775125)Termination phase: Saturation
% 7.88/1.76  % (775125)Time elapsed: 0.066 s
% 7.88/1.76  % (775125)Peak memory usage: 12 MB
% 7.88/1.76  % (775125)Instructions burned: 151 (million)
% 7.88/1.76  % (775131)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=3257695408:i=136:add=on:ins=4:rtra=on:sup=off_2989 on theBenchmark for (2989ds/136Mi)
% 7.88/1.76  % (775127)Instruction limit reached! 
% 7.88/1.76  % (775127)------------------------------
% 7.88/1.76  % (775127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.76  % (775127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.76  % (775127)CaDiCaL version: 2.1.3
% 10.16/1.93  % (775127)Termination reason: Instruction limit
% 10.16/1.93  % (775127)Termination phase: Saturation
% 10.16/1.93  % (775127)Time elapsed: 0.056 s
% 10.16/1.93  % (775127)Peak memory usage: 12 MB
% 10.16/1.93  % (775127)Instructions burned: 162 (million)
% 10.16/1.93  % (775132)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=1141120585:i=88:s2at=3:nm=2:rtra=on:rawr=on_2989 on theBenchmark for (2989ds/88Mi)
% 10.16/1.93  % (775133)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3719353489:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2989 on theBenchmark for (2989ds/93Mi)
% 10.16/1.93  % (775135)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1021566093:i=2186:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/2186Mi)
% 10.16/1.93  % (775133)Instruction limit reached! 
% 10.16/1.93  % (775133)------------------------------
% 10.16/1.93  % (775133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.16/1.93  % (775133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/1.93  % (775133)CaDiCaL version: 2.1.3
% 10.16/1.93  % (775133)Termination reason: Instruction limit
% 10.16/1.93  % (775133)Termination phase: Saturation
% 10.16/1.93  % (775133)Time elapsed: 0.047 s
% 10.16/1.93  % (775133)Peak memory usage: 12 MB
% 10.16/1.93  % (775133)Instructions burned: 95 (million)
% 10.16/1.93  % (775131)Instruction limit reached! 
% 10.16/1.93  % (775131)------------------------------
% 10.16/1.93  % (775131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.16/1.93  % (775131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/1.93  % (775131)CaDiCaL version: 2.1.3
% 10.16/1.93  % (775131)Termination reason: Instruction limit
% 10.16/1.93  % (775131)Termination phase: Saturation
% 10.16/1.93  % (775131)Time elapsed: 0.066 s
% 10.16/1.93  % (775131)Peak memory usage: 12 MB
% 10.16/1.93  % (775131)Instructions burned: 138 (million)
% 10.16/1.93  % (775132)Instruction limit reached! 
% 10.16/1.93  % (775132)------------------------------
% 10.16/1.93  % (775132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.16/1.93  % (775132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/1.93  % (775132)CaDiCaL version: 2.1.3
% 10.16/1.93  % (775132)Termination reason: Instruction limit
% 10.16/1.93  % (775132)Termination phase: Saturation
% 10.16/1.93  % (775132)Time elapsed: 0.064 s
% 10.16/1.93  % (775132)Peak memory usage: 12 MB
% 10.16/1.93  % (775132)Instructions burned: 88 (million)
% 10.16/1.93  % (775139)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1442965190:s2a=on:i=240:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/240Mi)
% 10.16/1.93  % (775140)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=998487726:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/805Mi)
% 10.16/1.93  % (775141)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 10.16/1.93  % (775141)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=109362544:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2988 on theBenchmark for (2988ds/391Mi)
% 10.16/1.93  % (775141)Refutation not found, incomplete strategy
% 10.16/1.93  % (775141)------------------------------
% 10.16/1.93  % (775141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.16/1.93  % (775141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/1.93  % (775141)CaDiCaL version: 2.1.3
% 10.16/1.93  % (775141)Termination reason: Refutation not found, incomplete strategy
% 10.16/1.93  % (775141)Time elapsed: 0.001 s
% 10.16/1.93  % (775141)Peak memory usage: 11 MB
% 10.16/1.93  % (775141)Instructions burned: 1 (million)
% 10.16/1.93  % (775141)------------------------------
% 10.16/1.93  % (775141)------------------------------
% 10.16/1.93  % (775145)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1884723851:i=355:av=off:fsr=off:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/355Mi)
% 10.16/1.93  % (775139)Instruction limit reached! 
% 10.16/1.93  % (775139)------------------------------
% 10.16/1.93  % (775139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.16/1.93  % (775139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.07  % (775139)CaDiCaL version: 2.1.3
% 12.02/2.07  % (775139)Termination reason: Instruction limit
% 12.02/2.07  % (775139)Termination phase: Saturation
% 12.02/2.07  % (775139)Time elapsed: 0.098 s
% 12.02/2.07  % (775139)Peak memory usage: 12 MB
% 12.02/2.07  % (775139)Instructions burned: 244 (million)
% 12.02/2.07  % (775147)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=4095917752:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/314Mi)
% 12.02/2.07  % (775147)Refutation not found, incomplete strategy
% 12.02/2.07  % (775147)------------------------------
% 12.02/2.07  % (775147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.02/2.07  % (775147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.07  % (775147)CaDiCaL version: 2.1.3
% 12.02/2.07  % (775147)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.07  % (775147)Time elapsed: 0.001 s
% 12.02/2.07  % (775147)Peak memory usage: 11 MB
% 12.02/2.07  % (775147)------------------------------
% 12.02/2.07  % (775147)------------------------------
% 12.02/2.07  % (775149)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2236491012:s2a=on:i=251:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/251Mi)
% 12.02/2.07  % (775145)Instruction limit reached! 
% 12.02/2.07  % (775145)------------------------------
% 12.02/2.07  % (775145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.02/2.07  % (775145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.07  % (775145)CaDiCaL version: 2.1.3
% 12.02/2.07  % (775145)Termination reason: Instruction limit
% 12.02/2.07  % (775145)Termination phase: Saturation
% 12.02/2.07  % (775145)Time elapsed: 0.186 s
% 12.02/2.07  % (775145)Peak memory usage: 12 MB
% 12.02/2.07  % (775145)Instructions burned: 356 (million)
% 12.02/2.07  % (775151)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=1861078569:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2985 on theBenchmark for (2985ds/2470Mi)
% 12.02/2.07  % (775149)Instruction limit reached! 
% 12.02/2.07  % (775149)------------------------------
% 12.02/2.07  % (775149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.02/2.07  % (775149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.07  % (775149)CaDiCaL version: 2.1.3
% 12.02/2.07  % (775149)Termination reason: Instruction limit
% 12.02/2.07  % (775149)Termination phase: Saturation
% 12.02/2.07  % (775149)Time elapsed: 0.110 s
% 12.02/2.07  % (775149)Peak memory usage: 12 MB
% 12.02/2.07  % (775149)Instructions burned: 252 (million)
% 12.02/2.07  % (775153)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3168315460:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2985 on theBenchmark for (2985ds/673Mi)
% 12.02/2.07  % (775140)Instruction limit reached! 
% 12.02/2.07  % (775140)------------------------------
% 12.02/2.07  % (775140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.02/2.07  % (775140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.07  % (775140)CaDiCaL version: 2.1.3
% 12.02/2.07  % (775140)Termination reason: Instruction limit
% 12.02/2.07  % (775140)Termination phase: Saturation
% 12.02/2.07  % (775140)Time elapsed: 0.326 s
% 12.02/2.07  % (775140)Peak memory usage: 14 MB
% 12.02/2.07  % (775140)Instructions burned: 807 (million)
% 12.02/2.07  % (775110)Instruction limit reached! 
% 12.02/2.07  % (775110)------------------------------
% 12.02/2.07  % (775110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.02/2.07  % (775110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.07  % (775110)CaDiCaL version: 2.1.3
% 12.02/2.07  % (775110)Termination reason: Instruction limit
% 12.02/2.07  % (775110)Termination phase: Saturation
% 12.02/2.07  % (775110)Time elapsed: 0.578 s
% 12.02/2.07  % (775110)Peak memory usage: 15 MB
% 12.02/2.07  % (775110)Instructions burned: 867 (million)
% 12.02/2.07  % (775155)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1723815844:i=116:ep=RSTC:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/116Mi)
% 12.02/2.07  % (775156)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2879916432:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 13.14/2.34  % (775155)Instruction limit reached! 
% 13.14/2.34  % (775155)------------------------------
% 13.14/2.34  % (775155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.14/2.34  % (775155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.34  % (775155)CaDiCaL version: 2.1.3
% 13.14/2.34  % (775155)Termination reason: Instruction limit
% 13.14/2.34  % (775155)Termination phase: Saturation
% 13.14/2.34  % (775155)Time elapsed: 0.051 s
% 13.14/2.34  % (775155)Peak memory usage: 12 MB
% 13.14/2.34  % (775155)Instructions burned: 117 (million)
% 13.14/2.34  % (775092)Instruction limit reached! 
% 13.14/2.34  % (775092)------------------------------
% 13.14/2.34  % (775092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.14/2.34  % (775092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.34  % (775092)CaDiCaL version: 2.1.3
% 13.14/2.34  % (775092)Termination reason: Instruction limit
% 13.14/2.34  % (775092)Termination phase: Saturation
% 13.14/2.34  % (775092)Time elapsed: 0.778 s
% 13.14/2.34  % (775092)Peak memory usage: 13 MB
% 13.14/2.34  % (775092)Instructions burned: 1441 (million)
% 13.14/2.34  % (775160)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 13.14/2.34  % (775160)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2439674288:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2984 on theBenchmark for (2984ds/39Mi)
% 13.14/2.34  % (775159)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=2289026520: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_2984 on theBenchmark for (2984ds/30Mi)
% 13.14/2.34  % (775159)Instruction limit reached! 
% 13.14/2.34  % (775159)------------------------------
% 13.14/2.34  % (775159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.14/2.34  % (775159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.34  % (775159)CaDiCaL version: 2.1.3
% 13.14/2.34  % (775159)Termination reason: Instruction limit
% 13.14/2.34  % (775159)Termination phase: Saturation
% 13.14/2.34  % (775159)Time elapsed: 0.028 s
% 13.14/2.34  % (775159)Peak memory usage: 12 MB
% 13.14/2.34  % (775159)Instructions burned: 30 (million)
% 13.14/2.34  % (775160)Instruction limit reached! 
% 13.14/2.34  % (775160)------------------------------
% 13.14/2.34  % (775160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.14/2.34  % (775160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.34  % (775160)CaDiCaL version: 2.1.3
% 13.14/2.34  % (775160)Termination reason: Instruction limit
% 13.14/2.34  % (775160)Termination phase: Saturation
% 13.14/2.34  % (775160)Time elapsed: 0.036 s
% 13.14/2.34  % (775160)Peak memory usage: 12 MB
% 13.14/2.34  % (775160)Instructions burned: 40 (million)
% 13.14/2.34  % (775156)Instruction limit reached! 
% 13.14/2.34  % (775156)------------------------------
% 13.14/2.34  % (775156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.14/2.34  % (775156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.14/2.34  % (775156)CaDiCaL version: 2.1.3
% 13.14/2.34  % (775156)Termination reason: Instruction limit
% 13.14/2.34  % (775156)Termination phase: Saturation
% 13.14/2.34  % (775156)Time elapsed: 0.119 s
% 13.14/2.34  % (775156)Peak memory usage: 12 MB
% 13.14/2.34  % (775156)Instructions burned: 270 (million)
% 13.14/2.34  % (775163)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=995999111:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/365Mi)
% 13.14/2.34  % (775164)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3475965346:i=158:av=off:rtra=on_2983 on theBenchmark for (2983ds/158Mi)
% 13.14/2.34  % (775165)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 13.14/2.34  % (775165)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=3853886153:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/252Mi)
% 13.14/2.34  % (775153)Instruction limit reached! 
% 13.14/2.34  % (775153)------------------------------
% 14.38/2.41  % (775153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.38/2.41  % (775153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/2.41  % (775153)CaDiCaL version: 2.1.3
% 14.38/2.41  % (775153)Termination reason: Instruction limit
% 14.38/2.41  % (775153)Termination phase: Saturation
% 14.38/2.41  % (775153)Time elapsed: 0.262 s
% 14.38/2.41  % (775153)Peak memory usage: 13 MB
% 14.38/2.41  % (775153)Instructions burned: 675 (million)
% 14.38/2.41  % (775169)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=659279476:i=213:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/213Mi)
% 14.38/2.41  % (775169)Refutation not found, incomplete strategy
% 14.38/2.41  % (775169)------------------------------
% 14.38/2.41  % (775169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.38/2.41  % (775169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/2.41  % (775169)CaDiCaL version: 2.1.3
% 14.38/2.41  % (775169)Termination reason: Refutation not found, incomplete strategy
% 14.38/2.41  % (775169)Time elapsed: 0.001 s
% 14.38/2.41  % (775169)Peak memory usage: 11 MB
% 14.38/2.41  % (775169)------------------------------
% 14.38/2.41  % (775169)------------------------------
% 14.38/2.41  % (775171)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=4288672957:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/160Mi)
% 14.38/2.41  % (775171)Refutation not found, incomplete strategy
% 14.38/2.41  % (775171)------------------------------
% 14.38/2.41  % (775171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.38/2.41  % (775171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/2.41  % (775171)CaDiCaL version: 2.1.3
% 14.38/2.41  % (775171)Termination reason: Refutation not found, incomplete strategy
% 14.38/2.41  % (775171)Time elapsed: 0.001 s
% 14.38/2.41  % (775171)Peak memory usage: 11 MB
% 14.38/2.41  % (775171)------------------------------
% 14.38/2.41  % (775171)------------------------------
% 14.38/2.41  % (775173)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3922949505:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/763Mi)
% 14.38/2.41  % (775163)Instruction limit reached! 
% 14.38/2.41  % (775163)------------------------------
% 14.38/2.41  % (775163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.38/2.41  % (775163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/2.41  % (775163)CaDiCaL version: 2.1.3
% 14.38/2.41  % (775163)Termination reason: Instruction limit
% 14.38/2.41  % (775163)Termination phase: Saturation
% 14.38/2.41  % (775163)Time elapsed: 0.138 s
% 14.38/2.41  % (775163)Peak memory usage: 13 MB
% 14.38/2.41  % (775163)Instructions burned: 367 (million)
% 14.38/2.41  % (775164)Instruction limit reached! 
% 14.38/2.41  % (775164)------------------------------
% 14.38/2.41  % (775164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.38/2.41  % (775164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/2.41  % (775164)CaDiCaL version: 2.1.3
% 14.38/2.41  % (775164)Termination reason: Instruction limit
% 14.38/2.41  % (775164)Termination phase: Saturation
% 14.38/2.41  % (775164)Time elapsed: 0.133 s
% 14.38/2.41  % (775164)Peak memory usage: 11 MB
% 14.38/2.41  % (775164)Instructions burned: 160 (million)
% 14.38/2.41  % (775165)Instruction limit reached! 
% 14.38/2.41  % (775165)------------------------------
% 14.38/2.41  % (775165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.38/2.41  % (775165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/2.41  % (775165)CaDiCaL version: 2.1.3
% 14.38/2.41  % (775165)Termination reason: Instruction limit
% 14.38/2.41  % (775165)Termination phase: Saturation
% 14.38/2.41  % (775165)Time elapsed: 0.132 s
% 14.38/2.41  % (775165)Peak memory usage: 12 MB
% 14.38/2.41  % (775165)Instructions burned: 254 (million)
% 14.38/2.41  % (775175)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 14.38/2.41  % (775175)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=4227988688:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2981 on theBenchmark for (2981ds/237Mi)
% 14.38/2.41  % (775175)Refutation not found, incomplete strategy
% 14.70/2.50  % (775175)------------------------------
% 14.70/2.50  % (775175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.50  % (775175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.50  % (775175)CaDiCaL version: 2.1.3
% 14.70/2.50  % (775175)Termination reason: Refutation not found, incomplete strategy
% 14.70/2.50  % (775175)Time elapsed: 0.004 s
% 14.70/2.50  % (775175)Peak memory usage: 11 MB
% 14.70/2.50  % (775175)------------------------------
% 14.70/2.50  % (775175)------------------------------
% 14.70/2.50  % (775176)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1812004390:s2a=on:i=386:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/386Mi)
% 14.70/2.50  % (775177)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1741639291:i=300:piset=and:nm=32:rtra=on_2981 on theBenchmark for (2981ds/300Mi)
% 14.70/2.50  % (775179)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2911693755:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/567Mi)
% 14.70/2.50  % (775179)Refutation not found, incomplete strategy
% 14.70/2.50  % (775179)------------------------------
% 14.70/2.50  % (775179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.50  % (775179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.50  % (775179)CaDiCaL version: 2.1.3
% 14.70/2.50  % (775179)Termination reason: Refutation not found, incomplete strategy
% 14.70/2.50  % (775179)Time elapsed: 0.001 s
% 14.70/2.50  % (775179)Peak memory usage: 11 MB
% 14.70/2.50  % (775179)Instructions burned: 1 (million)
% 14.70/2.50  % (775179)------------------------------
% 14.70/2.50  % (775179)------------------------------
% 14.70/2.50  % (775183)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=4287760942:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2981 on theBenchmark for (2981ds/379Mi)
% 14.70/2.50  % (775183)Refutation not found, incomplete strategy
% 14.70/2.50  % (775183)------------------------------
% 14.70/2.50  % (775183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.50  % (775183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.50  % (775183)CaDiCaL version: 2.1.3
% 14.70/2.50  % (775183)Termination reason: Refutation not found, incomplete strategy
% 14.70/2.50  % (775183)Time elapsed: 0.001 s
% 14.70/2.50  % (775183)Peak memory usage: 11 MB
% 14.70/2.50  % (775183)------------------------------
% 14.70/2.50  % (775183)------------------------------
% 14.70/2.50  % (775185)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=575396046:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2981 on theBenchmark for (2981ds/429Mi)
% 14.70/2.50  % (775173)Instruction limit reached! 
% 14.70/2.50  % (775173)------------------------------
% 14.70/2.50  % (775173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.50  % (775173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.50  % (775173)CaDiCaL version: 2.1.3
% 14.70/2.50  % (775173)Termination reason: Instruction limit
% 14.70/2.50  % (775173)Termination phase: Saturation
% 14.70/2.50  % (775173)Time elapsed: 0.329 s
% 14.70/2.50  % (775173)Peak memory usage: 13 MB
% 14.70/2.50  % (775173)Instructions burned: 764 (million)
% 14.70/2.50  % (775177)Instruction limit reached! 
% 14.70/2.50  % (775177)------------------------------
% 14.70/2.50  % (775177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.50  % (775177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.50  % (775177)CaDiCaL version: 2.1.3
% 14.70/2.50  % (775177)Termination reason: Instruction limit
% 14.70/2.50  % (775177)Termination phase: Saturation
% 14.70/2.50  % (775177)Time elapsed: 0.247 s
% 14.70/2.50  % (775177)Peak memory usage: 12 MB
% 14.70/2.50  % (775177)Instructions burned: 301 (million)
% 14.70/2.50  % (775185)Instruction limit reached! 
% 14.70/2.50  % (775185)------------------------------
% 14.70/2.50  % (775185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.70/2.50  % (775185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.50  % (775185)CaDiCaL version: 2.1.3
% 14.70/2.50  % (775185)Termination reason: Instruction limit
% 14.70/2.50  % (775185)Termination phase: Saturation
% 14.70/2.50  % (775185)Time elapsed: 0.199 s
% 14.70/2.50  % (775185)Peak memory usage: 12 MB
% 14.70/2.50  % (775185)Instructions burned: 431 (million)
% 14.70/2.50  % (775187)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3093923477:i=478:bd=all:rtra=on_2979 on theBenchmark for (2979ds/478Mi)
% 15.30/2.62  % (775187)Refutation not found, incomplete strategy
% 15.30/2.62  % (775187)------------------------------
% 15.30/2.62  % (775187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.62  % (775187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.62  % (775187)CaDiCaL version: 2.1.3
% 15.30/2.62  % (775187)Termination reason: Refutation not found, incomplete strategy
% 15.30/2.62  % (775187)Time elapsed: 0.001 s
% 15.30/2.62  % (775187)Peak memory usage: 12 MB
% 15.30/2.62  % (775187)Instructions burned: 1 (million)
% 15.30/2.62  % (775187)------------------------------
% 15.30/2.62  % (775187)------------------------------
% 15.30/2.62  % (775188)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2104054976:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2978 on theBenchmark for (2978ds/445Mi)
% 15.30/2.62  % (775189)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1063522522:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/71Mi)
% 15.30/2.62  % (775191)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3302922428:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/302Mi)
% 15.30/2.62  % (775191)Refutation not found, incomplete strategy
% 15.30/2.62  % (775191)------------------------------
% 15.30/2.62  % (775191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.62  % (775191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.62  % (775191)CaDiCaL version: 2.1.3
% 15.30/2.62  % (775191)Termination reason: Refutation not found, incomplete strategy
% 15.30/2.62  % (775191)Time elapsed: 0.001 s
% 15.30/2.62  % (775191)Peak memory usage: 11 MB
% 15.30/2.62  % (775191)------------------------------
% 15.30/2.62  % (775191)------------------------------
% 15.30/2.62  % (775176)Instruction limit reached! 
% 15.30/2.62  % (775176)------------------------------
% 15.30/2.62  % (775176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.62  % (775176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.62  % (775176)CaDiCaL version: 2.1.3
% 15.30/2.62  % (775176)Termination reason: Instruction limit
% 15.30/2.62  % (775176)Termination phase: Saturation
% 15.30/2.62  % (775176)Time elapsed: 0.301 s
% 15.30/2.62  % (775176)Peak memory usage: 12 MB
% 15.30/2.62  % (775176)Instructions burned: 386 (million)
% 15.30/2.62  % (775195)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1616748987:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/4980Mi)
% 15.30/2.62  % (775195)Refutation not found, incomplete strategy
% 15.30/2.62  % (775195)------------------------------
% 15.30/2.62  % (775195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.62  % (775195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.62  % (775195)CaDiCaL version: 2.1.3
% 15.30/2.62  % (775195)Termination reason: Refutation not found, incomplete strategy
% 15.30/2.62  % (775195)Time elapsed: 0.001 s
% 15.30/2.62  % (775195)Peak memory usage: 11 MB
% 15.30/2.62  % (775195)------------------------------
% 15.30/2.62  % (775195)------------------------------
% 15.30/2.62  % (775189)Instruction limit reached! 
% 15.30/2.62  % (775189)------------------------------
% 15.30/2.62  % (775189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.62  % (775189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.62  % (775189)CaDiCaL version: 2.1.3
% 15.30/2.62  % (775189)Termination reason: Instruction limit
% 15.30/2.62  % (775189)Termination phase: Saturation
% 15.30/2.62  % (775189)Time elapsed: 0.037 s
% 15.30/2.62  % (775189)Peak memory usage: 12 MB
% 15.30/2.62  % (775189)Instructions burned: 73 (million)
% 15.30/2.62  % (775196)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 15.30/2.62  % (775196)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 15.30/2.62  % (775196)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3812798319:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2978 on theBenchmark for (2978ds/100Mi)
% 15.30/2.66  % (775199)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1073902649:i=289:rtra=on_2978 on theBenchmark for (2978ds/289Mi)
% 15.30/2.66  % (775199)Refutation not found, incomplete strategy
% 15.30/2.66  % (775199)------------------------------
% 15.30/2.66  % (775199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.66  % (775199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.66  % (775199)CaDiCaL version: 2.1.3
% 15.30/2.66  % (775199)Termination reason: Refutation not found, incomplete strategy
% 15.30/2.66  % (775199)Time elapsed: 0.001 s
% 15.30/2.66  % (775199)Peak memory usage: 11 MB
% 15.30/2.66  % (775199)Instructions burned: 1 (million)
% 15.30/2.66  % (775199)------------------------------
% 15.30/2.66  % (775199)------------------------------
% 15.30/2.66  % (775198)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=3633206838:i=76:piset=equals:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/76Mi)
% 15.30/2.66  % (775202)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=3554538629:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2978 on theBenchmark for (2978ds/493Mi)
% 15.30/2.67  % (775084)Instruction limit reached! 
% 15.30/2.67  % (775084)------------------------------
% 15.30/2.67  % (775084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.67  % (775084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.67  % (775084)CaDiCaL version: 2.1.3
% 15.30/2.67  % (775084)Termination reason: Instruction limit
% 15.30/2.67  % (775084)Termination phase: Saturation
% 15.30/2.67  % (775084)Time elapsed: 1.504 s
% 15.30/2.67  % (775084)Peak memory usage: 15 MB
% 15.30/2.67  % (775084)Instructions burned: 9844 (million)
% 15.30/2.67  % (775205)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=41105073:cond=on:i=34:hud=10:nm=10:rtra=on_2977 on theBenchmark for (2977ds/34Mi)
% 15.30/2.67  % (775205)Instruction limit reached! 
% 15.30/2.67  % (775205)------------------------------
% 15.30/2.67  % (775205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.67  % (775205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.67  % (775205)CaDiCaL version: 2.1.3
% 15.30/2.67  % (775205)Termination reason: Instruction limit
% 15.30/2.67  % (775205)Termination phase: Saturation
% 15.30/2.67  % (775205)Time elapsed: 0.010 s
% 15.30/2.67  % (775205)Peak memory usage: 12 MB
% 15.30/2.67  % (775205)Instructions burned: 35 (million)
% 15.30/2.67  % (775207)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.30/2.67  % (775207)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=2464415536:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2977 on theBenchmark for (2977ds/372Mi)
% 15.30/2.67  % (775207)Refutation not found, incomplete strategy
% 15.30/2.67  % (775207)------------------------------
% 15.30/2.67  % (775207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.67  % (775207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.67  % (775207)CaDiCaL version: 2.1.3
% 15.30/2.67  % (775207)Termination reason: Refutation not found, incomplete strategy
% 15.30/2.67  % (775207)Time elapsed: 0.001 s
% 15.30/2.67  % (775207)Peak memory usage: 11 MB
% 15.30/2.67  % (775207)Instructions burned: 2 (million)
% 15.30/2.67  % (775207)------------------------------
% 15.30/2.67  % (775207)------------------------------
% 15.30/2.67  % (775209)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1383913990:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2977 on theBenchmark for (2977ds/670Mi)
% 15.30/2.67  % (775196)Instruction limit reached! 
% 15.30/2.67  % (775196)------------------------------
% 15.30/2.67  % (775196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.67  % (775196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.67  % (775196)CaDiCaL version: 2.1.3
% 15.30/2.67  % (775196)Termination reason: Instruction limit
% 15.30/2.67  % (775196)Termination phase: Saturation
% 15.30/2.67  % (775196)Time elapsed: 0.085 s
% 16.11/2.88  % (775196)Peak memory usage: 12 MB
% 16.11/2.88  % (775196)Instructions burned: 101 (million)
% 16.11/2.88  % (775198)Instruction limit reached! 
% 16.11/2.88  % (775198)------------------------------
% 16.11/2.88  % (775198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.88  % (775198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.88  % (775198)CaDiCaL version: 2.1.3
% 16.11/2.88  % (775198)Termination reason: Instruction limit
% 16.11/2.88  % (775198)Termination phase: Saturation
% 16.11/2.88  % (775198)Time elapsed: 0.074 s
% 16.11/2.88  % (775198)Peak memory usage: 12 MB
% 16.11/2.88  % (775198)Instructions burned: 77 (million)
% 16.11/2.88  % (775212)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=4018288247:i=857:add=off:kws=frequency:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/857Mi)
% 16.11/2.88  % (775211)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2730643333:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/647Mi)
% 16.11/2.88  % (775211)Refutation not found, incomplete strategy
% 16.11/2.88  % (775211)------------------------------
% 16.11/2.88  % (775211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.88  % (775211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.88  % (775211)CaDiCaL version: 2.1.3
% 16.11/2.88  % (775211)Termination reason: Refutation not found, incomplete strategy
% 16.11/2.88  % (775211)Time elapsed: 0.001 s
% 16.11/2.88  % (775211)Peak memory usage: 11 MB
% 16.11/2.88  % (775211)------------------------------
% 16.11/2.88  % (775211)------------------------------
% 16.11/2.88  % (775215)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=1977131751:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/693Mi)
% 16.11/2.88  % (775188)Instruction limit reached! 
% 16.11/2.88  % (775188)------------------------------
% 16.11/2.88  % (775188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.88  % (775188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.88  % (775188)CaDiCaL version: 2.1.3
% 16.11/2.88  % (775188)Termination reason: Instruction limit
% 16.11/2.88  % (775188)Termination phase: Saturation
% 16.11/2.88  % (775188)Time elapsed: 0.225 s
% 16.11/2.88  % (775188)Peak memory usage: 14 MB
% 16.11/2.88  % (775188)Instructions burned: 446 (million)
% 16.11/2.88  % (775135)Instruction limit reached! 
% 16.11/2.88  % (775135)------------------------------
% 16.11/2.88  % (775135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.88  % (775135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.88  % (775135)CaDiCaL version: 2.1.3
% 16.11/2.88  % (775135)Termination reason: Instruction limit
% 16.11/2.88  % (775135)Termination phase: Saturation
% 16.11/2.88  % (775135)Time elapsed: 1.224 s
% 16.11/2.88  % (775135)Peak memory usage: 13 MB
% 16.11/2.88  % (775135)Instructions burned: 2186 (million)
% 16.11/2.88  % (775217)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=4268122235:i=285:hud=10:bd=all:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/285Mi)
% 16.11/2.88  % (775217)Refutation not found, incomplete strategy
% 16.11/2.88  % (775217)------------------------------
% 16.11/2.88  % (775217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.88  % (775217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.88  % (775217)CaDiCaL version: 2.1.3
% 16.11/2.88  % (775217)Termination reason: Refutation not found, incomplete strategy
% 16.11/2.88  % (775217)Time elapsed: 0.001 s
% 16.11/2.88  % (775217)Peak memory usage: 11 MB
% 16.11/2.88  % (775217)Instructions burned: 1 (million)
% 16.11/2.88  % (775217)------------------------------
% 16.11/2.88  % (775217)------------------------------
% 16.11/2.88  % (775218)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 16.11/2.88  % (775218)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=3131436710:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2976 on theBenchmark for (2976ds/52Mi)
% 16.11/2.88  % (775220)dis+10_1_si=on:random_seed=3646656617:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2976 on theBenchmark for (2976ds/407Mi)
% 18.86/3.08  % (775209)Instruction limit reached! 
% 18.86/3.08  % (775209)------------------------------
% 18.86/3.08  % (775209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/3.08  % (775209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.08  % (775209)CaDiCaL version: 2.1.3
% 18.86/3.08  % (775209)Termination reason: Instruction limit
% 18.86/3.08  % (775209)Termination phase: Saturation
% 18.86/3.08  % (775209)Time elapsed: 0.132 s
% 18.86/3.08  % (775209)Peak memory usage: 12 MB
% 18.86/3.08  % (775209)Instructions burned: 676 (million)
% 18.86/3.08  % (775220)Refutation not found, incomplete strategy
% 18.86/3.08  % (775220)------------------------------
% 18.86/3.08  % (775220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/3.08  % (775220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.08  % (775220)CaDiCaL version: 2.1.3
% 18.86/3.08  % (775220)Termination reason: Refutation not found, incomplete strategy
% 18.86/3.08  % (775220)Time elapsed: 0.001 s
% 18.86/3.08  % (775220)Peak memory usage: 11 MB
% 18.86/3.08  % (775220)------------------------------
% 18.86/3.08  % (775220)------------------------------
% 18.86/3.08  % (775218)Instruction limit reached! 
% 18.86/3.08  % (775218)------------------------------
% 18.86/3.08  % (775218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/3.08  % (775218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.08  % (775218)CaDiCaL version: 2.1.3
% 18.86/3.08  % (775218)Termination reason: Instruction limit
% 18.86/3.08  % (775218)Termination phase: Saturation
% 18.86/3.08  % (775218)Time elapsed: 0.023 s
% 18.86/3.08  % (775218)Peak memory usage: 12 MB
% 18.86/3.08  % (775218)Instructions burned: 54 (million)
% 18.86/3.08  % (775223)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=1822628575:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/2240Mi)
% 18.86/3.08  % (775202)Instruction limit reached! 
% 18.86/3.08  % (775202)------------------------------
% 18.86/3.08  % (775202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/3.08  % (775202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.08  % (775202)CaDiCaL version: 2.1.3
% 18.86/3.08  % (775202)Termination reason: Instruction limit
% 18.86/3.08  % (775202)Termination phase: Saturation
% 18.86/3.08  % (775202)Time elapsed: 0.208 s
% 18.86/3.08  % (775202)Peak memory usage: 13 MB
% 18.86/3.08  % (775202)Instructions burned: 493 (million)
% 18.86/3.08  % (775224)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=368940015:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/336Mi)
% 18.86/3.08  % (775224)Refutation not found, incomplete strategy
% 18.86/3.08  % (775224)------------------------------
% 18.86/3.08  % (775224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/3.08  % (775224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.08  % (775224)CaDiCaL version: 2.1.3
% 18.86/3.08  % (775224)Termination reason: Refutation not found, incomplete strategy
% 18.86/3.08  % (775224)Time elapsed: 0.0000 s
% 18.86/3.08  % (775224)Peak memory usage: 11 MB
% 18.86/3.08  % (775224)------------------------------
% 18.86/3.08  % (775224)------------------------------
% 18.86/3.08  % (775225)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=899772817:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2975 on theBenchmark for (2975ds/1142Mi)
% 18.86/3.08  % (775228)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=2877190261:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/376Mi)
% 18.86/3.08  % (775228)Refutation not found, incomplete strategy
% 18.86/3.08  % (775228)------------------------------
% 18.86/3.08  % (775228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.86/3.08  % (775228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.08  % (775228)CaDiCaL version: 2.1.3
% 18.86/3.08  % (775228)Termination reason: Refutation not found, incomplete strategy
% 18.86/3.08  % (775228)Time elapsed: 0.001 s
% 18.86/3.08  % (775228)Peak memory usage: 12 MB
% 18.86/3.08  % (775229)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2890311721:i=766:bd=all:rtra=on_2975 on theBenchmark for (2975ds/766Mi)
% 18.86/3.08  % (775228)------------------------------
% 18.86/3.08  % (775228)------------------------------
% 19.43/3.19  % (775229)Refutation not found, incomplete strategy
% 19.43/3.19  % (775229)------------------------------
% 19.43/3.19  % (775229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.43/3.19  % (775229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.19  % (775229)CaDiCaL version: 2.1.3
% 19.43/3.19  % (775229)Termination reason: Refutation not found, incomplete strategy
% 19.43/3.19  % (775229)Time elapsed: 0.001 s
% 19.43/3.19  % (775229)Peak memory usage: 12 MB
% 19.43/3.19  % (775229)Instructions burned: 1 (million)
% 19.43/3.19  % (775229)------------------------------
% 19.43/3.19  % (775229)------------------------------
% 19.43/3.19  % (775233)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 19.43/3.19  % (775233)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2182840190: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_2975 on theBenchmark for (2975ds/959Mi)
% 19.43/3.19  % (775233)Refutation not found, incomplete strategy
% 19.43/3.19  % (775233)------------------------------
% 19.43/3.19  % (775233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.43/3.19  % (775233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.19  % (775233)CaDiCaL version: 2.1.3
% 19.43/3.19  % (775233)Termination reason: Refutation not found, incomplete strategy
% 19.43/3.19  % (775233)Time elapsed: 0.0000 s
% 19.43/3.19  % (775233)Peak memory usage: 11 MB
% 19.43/3.19  % (775233)------------------------------
% 19.43/3.19  % (775233)------------------------------
% 19.43/3.19  % (775234)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=4082045267:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2975 on theBenchmark for (2975ds/6359Mi)
% 19.43/3.19  % (775237)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1540716176:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2975 on theBenchmark for (2975ds/35Mi)
% 19.43/3.19  % (775237)Refutation not found, incomplete strategy
% 19.43/3.19  % (775237)------------------------------
% 19.43/3.19  % (775237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.43/3.19  % (775237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.19  % (775237)CaDiCaL version: 2.1.3
% 19.43/3.19  % (775237)Termination reason: Refutation not found, incomplete strategy
% 19.43/3.19  % (775237)Time elapsed: 0.0000 s
% 19.43/3.19  % (775237)Peak memory usage: 11 MB
% 19.43/3.19  % (775237)------------------------------
% 19.43/3.19  % (775237)------------------------------
% 19.43/3.19  % (775239)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2041360457:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2975 on theBenchmark for (2975ds/53Mi)
% 19.43/3.19  % (775239)Instruction limit reached! 
% 19.43/3.19  % (775239)------------------------------
% 19.43/3.19  % (775239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.43/3.19  % (775239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.19  % (775239)CaDiCaL version: 2.1.3
% 19.43/3.19  % (775239)Termination reason: Instruction limit
% 19.43/3.19  % (775239)Termination phase: Saturation
% 19.43/3.19  % (775239)Time elapsed: 0.030 s
% 19.43/3.19  % (775239)Peak memory usage: 12 MB
% 19.43/3.19  % (775239)Instructions burned: 55 (million)
% 19.43/3.19  % (775241)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=842304844:s2a=on:i=876:s2at=6:nm=2:rtra=on_2974 on theBenchmark for (2974ds/876Mi)
% 19.43/3.19  % (775212)Instruction limit reached! 
% 19.43/3.19  % (775212)------------------------------
% 19.43/3.19  % (775212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.43/3.19  % (775212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.19  % (775212)CaDiCaL version: 2.1.3
% 19.43/3.19  % (775212)Termination reason: Instruction limit
% 19.43/3.19  % (775212)Termination phase: Saturation
% 19.43/3.19  % (775212)Time elapsed: 0.338 s
% 19.43/3.19  % (775212)Peak memory usage: 13 MB
% 19.43/3.19  % (775212)Instructions burned: 858 (million)
% 19.43/3.19  % (775215)Instruction limit reached! 
% 19.43/3.19  % (775215)------------------------------
% 19.43/3.19  % (775215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.25  % (775215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.25  % (775215)CaDiCaL version: 2.1.3
% 19.84/3.25  % (775215)Termination reason: Instruction limit
% 19.84/3.25  % (775215)Termination phase: Saturation
% 19.84/3.25  % (775215)Time elapsed: 0.310 s
% 19.84/3.25  % (775215)Peak memory usage: 13 MB
% 19.84/3.25  % (775215)Instructions burned: 696 (million)
% 19.84/3.25  % (775243)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2671932045:i=57:ep=R:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/57Mi)
% 19.84/3.25  % (775244)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 19.84/3.25  % (775244)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1679701059:i=306:bd=all:rtra=on_2973 on theBenchmark for (2973ds/306Mi)
% 19.84/3.25  % (775244)Refutation not found, incomplete strategy
% 19.84/3.25  % (775244)------------------------------
% 19.84/3.25  % (775244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.25  % (775244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.25  % (775244)CaDiCaL version: 2.1.3
% 19.84/3.25  % (775244)Termination reason: Refutation not found, incomplete strategy
% 19.84/3.25  % (775244)Time elapsed: 0.001 s
% 19.84/3.25  % (775244)Peak memory usage: 11 MB
% 19.84/3.25  % (775244)Instructions burned: 1 (million)
% 19.84/3.25  % (775244)------------------------------
% 19.84/3.25  % (775244)------------------------------
% 19.84/3.25  % (775243)Instruction limit reached! 
% 19.84/3.25  % (775243)------------------------------
% 19.84/3.25  % (775243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.25  % (775243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.25  % (775243)CaDiCaL version: 2.1.3
% 19.84/3.25  % (775243)Termination reason: Instruction limit
% 19.84/3.25  % (775243)Termination phase: Saturation
% 19.84/3.25  % (775243)Time elapsed: 0.028 s
% 19.84/3.25  % (775243)Peak memory usage: 12 MB
% 19.84/3.25  % (775243)Instructions burned: 59 (million)
% 19.84/3.25  % (775247)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2795676780:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/262Mi)
% 19.84/3.25  % (775247)Refutation not found, incomplete strategy
% 19.84/3.25  % (775247)------------------------------
% 19.84/3.25  % (775247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.25  % (775247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.25  % (775247)CaDiCaL version: 2.1.3
% 19.84/3.25  % (775247)Termination reason: Refutation not found, incomplete strategy
% 19.84/3.25  % (775247)Time elapsed: 0.001 s
% 19.84/3.25  % (775247)Peak memory usage: 11 MB
% 19.84/3.25  % (775247)------------------------------
% 19.84/3.25  % (775247)------------------------------
% 19.84/3.25  % (775248)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 19.84/3.25  % (775248)ott+1002_16_sil=128000:si=on:random_seed=1488404246:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2973 on theBenchmark for (2973ds/409Mi)
% 19.84/3.25  % (775250)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1985544533:s2a=on:i=381:rtra=on_2973 on theBenchmark for (2973ds/381Mi)
% 19.84/3.25  % (775151)Instruction limit reached! 
% 19.84/3.25  % (775151)------------------------------
% 19.84/3.25  % (775151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.25  % (775151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.25  % (775151)CaDiCaL version: 2.1.3
% 19.84/3.25  % (775151)Termination reason: Instruction limit
% 19.84/3.25  % (775151)Termination phase: Saturation
% 19.84/3.25  % (775151)Time elapsed: 1.401 s
% 19.84/3.25  % (775151)Peak memory usage: 16 MB
% 19.84/3.25  % (775151)Instructions burned: 2471 (million)
% 19.84/3.25  % (775253)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=689582928:cond=on:i=324:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/324Mi)
% 19.84/3.25  % (775248)Instruction limit reached! 
% 19.84/3.25  % (775248)------------------------------
% 19.84/3.25  % (775248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.25  % (775248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.25  % (775248)CaDiCaL version: 2.1.3
% 19.84/3.25  % (775248)Termination reason: Instruction limit
% 20.28/3.37  % (775248)Termination phase: Saturation
% 20.28/3.37  % (775248)Time elapsed: 0.149 s
% 20.28/3.37  % (775248)Peak memory usage: 13 MB
% 20.28/3.37  % (775248)Instructions burned: 410 (million)
% 20.28/3.37  % (775255)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2954601175:i=240:kws=inv_precedence:rtra=on_2971 on theBenchmark for (2971ds/240Mi)
% 20.28/3.37  % (775255)Refutation not found, incomplete strategy
% 20.28/3.37  % (775255)------------------------------
% 20.28/3.37  % (775255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.28/3.37  % (775255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/3.37  % (775255)CaDiCaL version: 2.1.3
% 20.28/3.37  % (775255)Termination reason: Refutation not found, incomplete strategy
% 20.28/3.37  % (775255)Time elapsed: 0.001 s
% 20.28/3.37  % (775255)Peak memory usage: 11 MB
% 20.28/3.37  % (775255)Instructions burned: 1 (million)
% 20.28/3.37  % (775255)------------------------------
% 20.28/3.37  % (775255)------------------------------
% 20.28/3.37  % (775250)Instruction limit reached! 
% 20.28/3.37  % (775250)------------------------------
% 20.28/3.37  % (775250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.28/3.37  % (775250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/3.37  % (775250)CaDiCaL version: 2.1.3
% 20.28/3.37  % (775250)Termination reason: Instruction limit
% 20.28/3.37  % (775250)Termination phase: Saturation
% 20.28/3.37  % (775250)Time elapsed: 0.170 s
% 20.28/3.37  % (775250)Peak memory usage: 12 MB
% 20.28/3.37  % (775250)Instructions burned: 381 (million)
% 20.28/3.37  % (775257)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 20.28/3.37  % (775257)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3814769441:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/124Mi)
% 20.28/3.37  % (775258)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=120188404:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/223Mi)
% 20.28/3.37  % (775241)Instruction limit reached! 
% 20.28/3.37  % (775241)------------------------------
% 20.28/3.37  % (775241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.28/3.37  % (775241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/3.37  % (775241)CaDiCaL version: 2.1.3
% 20.28/3.37  % (775241)Termination reason: Instruction limit
% 20.28/3.37  % (775241)Termination phase: Saturation
% 20.28/3.37  % (775241)Time elapsed: 0.380 s
% 20.28/3.37  % (775241)Peak memory usage: 13 MB
% 20.28/3.37  % (775241)Instructions burned: 876 (million)
% 20.28/3.37  % (775257)Instruction limit reached! 
% 20.28/3.37  % (775257)------------------------------
% 20.28/3.37  % (775257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.28/3.37  % (775257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/3.37  % (775257)CaDiCaL version: 2.1.3
% 20.28/3.37  % (775257)Termination reason: Instruction limit
% 20.28/3.37  % (775257)Termination phase: Saturation
% 20.28/3.37  % (775257)Time elapsed: 0.049 s
% 20.28/3.37  % (775257)Peak memory usage: 11 MB
% 20.28/3.37  % (775257)Instructions burned: 126 (million)
% 20.28/3.37  % (775261)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3920027217:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2970 on theBenchmark for (2970ds/282Mi)
% 20.28/3.37  % (775263)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=442472703:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/464Mi)
% 20.28/3.37  % (775253)Instruction limit reached! 
% 20.28/3.37  % (775253)------------------------------
% 20.28/3.37  % (775253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.28/3.37  % (775253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/3.37  % (775253)CaDiCaL version: 2.1.3
% 20.28/3.37  % (775253)Termination reason: Instruction limit
% 20.28/3.37  % (775253)Termination phase: Saturation
% 20.28/3.37  % (775253)Time elapsed: 0.121 s
% 20.28/3.37  % (775253)Peak memory usage: 12 MB
% 20.28/3.37  % (775253)Instructions burned: 325 (million)
% 20.28/3.37  % (775263)Refutation not found, incomplete strategy
% 20.28/3.37  % (775263)------------------------------
% 20.28/3.37  % (775263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.28/3.37  % (775263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.44  % (775263)CaDiCaL version: 2.1.3
% 20.80/3.44  % (775263)Termination reason: Refutation not found, incomplete strategy
% 20.80/3.44  % (775263)Time elapsed: 0.001 s
% 20.80/3.44  % (775263)Peak memory usage: 11 MB
% 20.80/3.44  % (775263)Instructions burned: 1 (million)
% 20.80/3.44  % (775263)------------------------------
% 20.80/3.44  % (775263)------------------------------
% 20.80/3.44  % (775258)Instruction limit reached! 
% 20.80/3.44  % (775258)------------------------------
% 20.80/3.44  % (775258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.44  % (775258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.44  % (775258)CaDiCaL version: 2.1.3
% 20.80/3.44  % (775258)Termination reason: Instruction limit
% 20.80/3.44  % (775258)Termination phase: Saturation
% 20.80/3.44  % (775258)Time elapsed: 0.076 s
% 20.80/3.44  % (775258)Peak memory usage: 12 MB
% 20.80/3.44  % (775258)Instructions burned: 226 (million)
% 20.80/3.44  % (775225)Instruction limit reached! 
% 20.80/3.44  % (775225)------------------------------
% 20.80/3.44  % (775225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.44  % (775225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.44  % (775225)CaDiCaL version: 2.1.3
% 20.80/3.44  % (775225)Termination reason: Instruction limit
% 20.80/3.44  % (775225)Termination phase: Saturation
% 20.80/3.44  % (775225)Time elapsed: 0.559 s
% 20.80/3.44  % (775225)Peak memory usage: 14 MB
% 20.80/3.44  % (775225)Instructions burned: 1142 (million)
% 20.80/3.44  % (775266)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1151651193:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2970 on theBenchmark for (2970ds/280Mi)
% 20.80/3.44  % (775265)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=4084143183:i=88:s2at=3:nm=2:rtra=on:rawr=on_2970 on theBenchmark for (2970ds/88Mi)
% 20.80/3.44  % (775267)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 20.80/3.44  % (775267)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=654599083:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/4386Mi)
% 20.80/3.44  % (775270)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 20.80/3.44  % (775270)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 20.80/3.44  % (775270)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=2728716955:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2970 on theBenchmark for (2970ds/483Mi)
% 20.80/3.44  % (775270)Refutation not found, incomplete strategy
% 20.80/3.44  % (775270)------------------------------
% 20.80/3.44  % (775270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.44  % (775270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.44  % (775270)CaDiCaL version: 2.1.3
% 20.80/3.44  % (775270)Termination reason: Refutation not found, incomplete strategy
% 20.80/3.44  % (775270)Time elapsed: 0.001 s
% 20.80/3.44  % (775270)Peak memory usage: 12 MB
% 20.80/3.44  % (775270)------------------------------
% 20.80/3.44  % (775270)------------------------------
% 20.80/3.44  % (775223)Instruction limit reached! 
% 20.80/3.44  % (775223)------------------------------
% 20.80/3.44  % (775223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.44  % (775223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.44  % (775223)CaDiCaL version: 2.1.3
% 20.80/3.44  % (775223)Termination reason: Instruction limit
% 20.80/3.44  % (775223)Termination phase: Saturation
% 20.80/3.44  % (775223)Time elapsed: 0.614 s
% 20.80/3.44  % (775223)Peak memory usage: 17 MB
% 20.80/3.44  % (775223)Instructions burned: 2245 (million)
% 20.80/3.44  % (775265)Instruction limit reached! 
% 20.80/3.44  % (775265)------------------------------
% 20.80/3.44  % (775265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.44  % (775265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.44  % (775265)CaDiCaL version: 2.1.3
% 20.80/3.44  % (775265)Termination reason: Instruction limit
% 20.80/3.44  % (775265)Termination phase: Saturation
% 20.80/3.44  % (775265)Time elapsed: 0.037 s
% 21.69/3.64  % (775265)Peak memory usage: 12 MB
% 21.69/3.64  % (775265)Instructions burned: 88 (million)
% 21.69/3.64  % (775275)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 21.69/3.64  % (775274)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2398380964:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2969 on theBenchmark for (2969ds/176Mi)
% 21.69/3.64  % (775275)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3449462440:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2969 on theBenchmark for (2969ds/39Mi)
% 21.69/3.64  % (775273)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2577473820:i=73:rtra=on_2969 on theBenchmark for (2969ds/73Mi)
% 21.69/3.64  % (775273)Refutation not found, incomplete strategy
% 21.69/3.64  % (775273)------------------------------
% 21.69/3.64  % (775273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.69/3.64  % (775273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.69/3.64  % (775273)CaDiCaL version: 2.1.3
% 21.69/3.64  % (775273)Termination reason: Refutation not found, incomplete strategy
% 21.69/3.64  % (775273)Time elapsed: 0.001 s
% 21.69/3.64  % (775273)Peak memory usage: 11 MB
% 21.69/3.64  % (775273)Instructions burned: 1 (million)
% 21.69/3.64  % (775273)------------------------------
% 21.69/3.64  % (775273)------------------------------
% 21.69/3.64  % (775279)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4128036719:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/708Mi)
% 21.69/3.64  % (775275)Instruction limit reached! 
% 21.69/3.64  % (775275)------------------------------
% 21.69/3.64  % (775275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.69/3.64  % (775275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.69/3.64  % (775275)CaDiCaL version: 2.1.3
% 21.69/3.64  % (775275)Termination reason: Instruction limit
% 21.69/3.64  % (775275)Termination phase: Saturation
% 21.69/3.64  % (775275)Time elapsed: 0.021 s
% 21.69/3.64  % (775275)Peak memory usage: 12 MB
% 21.69/3.64  % (775275)Instructions burned: 40 (million)
% 21.69/3.64  % (775261)Instruction limit reached! 
% 21.69/3.64  % (775261)------------------------------
% 21.69/3.64  % (775261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.69/3.64  % (775261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.69/3.64  % (775261)CaDiCaL version: 2.1.3
% 21.69/3.64  % (775261)Termination reason: Instruction limit
% 21.69/3.64  % (775261)Termination phase: Saturation
% 21.69/3.64  % (775261)Time elapsed: 0.128 s
% 21.69/3.64  % (775261)Peak memory usage: 13 MB
% 21.69/3.64  % (775261)Instructions burned: 284 (million)
% 21.69/3.64  % (775281)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 21.69/3.64  % (775281)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=1470391528:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/252Mi)
% 21.69/3.64  % (775282)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=4019941806:i=823:fsr=off:rtra=on_2969 on theBenchmark for (2969ds/823Mi)
% 21.69/3.64  % (775274)Instruction limit reached! 
% 21.69/3.64  % (775274)------------------------------
% 21.69/3.64  % (775274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.69/3.64  % (775274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.69/3.64  % (775274)CaDiCaL version: 2.1.3
% 21.69/3.64  % (775274)Termination reason: Instruction limit
% 21.69/3.64  % (775274)Termination phase: Saturation
% 21.69/3.64  % (775274)Time elapsed: 0.078 s
% 21.69/3.64  % (775274)Peak memory usage: 12 MB
% 21.69/3.64  % (775274)Instructions burned: 178 (million)
% 21.69/3.64  % (775285)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 21.69/3.64  % (775285)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2278830912:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/16202Mi)
% 21.69/3.64  % (775285)Refutation not found, incomplete strategy
% 21.69/3.64  % (775285)------------------------------
% 22.36/3.76  % (775285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.76  % (775285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.76  % (775266)Instruction limit reached! 
% 22.36/3.76  % (775266)------------------------------
% 22.36/3.76  % (775266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.76  % (775285)CaDiCaL version: 2.1.3
% 22.36/3.76  % (775285)Termination reason: Refutation not found, incomplete strategy
% 22.36/3.76  % (775285)Time elapsed: 0.001 s
% 22.36/3.76  % (775285)Peak memory usage: 11 MB
% 22.36/3.76  % (775266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.76  % (775285)Instructions burned: 1 (million)
% 22.36/3.76  % (775266)CaDiCaL version: 2.1.3
% 22.36/3.76  % (775266)Termination reason: Instruction limit
% 22.36/3.76  % (775266)Termination phase: Saturation
% 22.36/3.76  % (775266)Time elapsed: 0.154 s
% 22.36/3.76  % (775266)Peak memory usage: 12 MB
% 22.36/3.76  % (775266)Instructions burned: 280 (million)
% 22.36/3.76  % (775285)------------------------------
% 22.36/3.76  % (775285)------------------------------
% 22.36/3.76  % (775288)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 22.36/3.76  % (775288)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 22.36/3.76  % (775287)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3148497778:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/300Mi)
% 22.36/3.76  % (775288)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3545595587:i=177:add=on:bd=preordered:rtra=on:rawr=on_2968 on theBenchmark for (2968ds/177Mi)
% 22.36/3.76  % (775281)Instruction limit reached! 
% 22.36/3.76  % (775281)------------------------------
% 22.36/3.76  % (775281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.76  % (775281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.76  % (775281)CaDiCaL version: 2.1.3
% 22.36/3.76  % (775281)Termination reason: Instruction limit
% 22.36/3.76  % (775281)Termination phase: Saturation
% 22.36/3.76  % (775281)Time elapsed: 0.099 s
% 22.36/3.76  % (775281)Peak memory usage: 12 MB
% 22.36/3.76  % (775281)Instructions burned: 252 (million)
% 22.36/3.76  % (775279)Instruction limit reached! 
% 22.36/3.76  % (775279)------------------------------
% 22.36/3.76  % (775279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.76  % (775279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.76  % (775279)CaDiCaL version: 2.1.3
% 22.36/3.76  % (775279)Termination reason: Instruction limit
% 22.36/3.76  % (775279)Termination phase: Saturation
% 22.36/3.76  % (775279)Time elapsed: 0.138 s
% 22.36/3.76  % (775279)Peak memory usage: 14 MB
% 22.36/3.76  % (775279)Instructions burned: 708 (million)
% 22.36/3.76  % (775291)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=4138953368:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/715Mi)
% 22.36/3.76  % (775291)Refutation not found, incomplete strategy
% 22.36/3.76  % (775291)------------------------------
% 22.36/3.76  % (775291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.36/3.76  % (775291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/3.76  % (775291)CaDiCaL version: 2.1.3
% 22.36/3.76  % (775291)Termination reason: Refutation not found, incomplete strategy
% 22.36/3.76  % (775291)Time elapsed: 0.001 s
% 22.36/3.76  % (775291)Peak memory usage: 11 MB
% 22.36/3.76  % (775291)Instructions burned: 1 (million)
% 22.36/3.76  % (775291)------------------------------
% 22.36/3.76  % (775291)------------------------------
% 22.36/3.76  % (775292)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 22.36/3.76  % (775292)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 22.36/3.76  % (775292)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=1334984688:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2967 on theBenchmark for (2967ds/230Mi)
% 22.36/3.76  % (775292)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 23.10/3.81  % (775294)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3532058701:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2967 on theBenchmark for (2967ds/606Mi)
% 23.10/3.81  % (775288)Instruction limit reached! 
% 23.10/3.81  % (775288)------------------------------
% 23.10/3.81  % (775288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.10/3.81  % (775288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.10/3.81  % (775288)CaDiCaL version: 2.1.3
% 23.10/3.81  % (775288)Termination reason: Instruction limit
% 23.10/3.81  % (775288)Termination phase: Saturation
% 23.10/3.81  % (775288)Time elapsed: 0.083 s
% 23.10/3.81  % (775288)Peak memory usage: 12 MB
% 23.10/3.81  % (775288)Instructions burned: 179 (million)
% 23.10/3.81  % (775297)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 23.10/3.81  % (775297)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=1419405688:lrd=on:i=841:nm=0:rtra=on_2967 on theBenchmark for (2967ds/841Mi)
% 23.10/3.81  % (775292)Instruction limit reached! 
% 23.10/3.81  % (775292)------------------------------
% 23.10/3.81  % (775292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.10/3.81  % (775292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.10/3.81  % (775292)CaDiCaL version: 2.1.3
% 23.10/3.81  % (775292)Termination reason: Instruction limit
% 23.10/3.81  % (775292)Termination phase: Saturation
% 23.10/3.81  % (775292)Time elapsed: 0.056 s
% 23.10/3.81  % (775292)Peak memory usage: 12 MB
% 23.10/3.81  % (775292)Instructions burned: 233 (million)
% 23.10/3.81  % (775299)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3822529690:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2967 on theBenchmark for (2967ds/445Mi)
% 23.10/3.81  % (775287)Instruction limit reached! 
% 23.10/3.81  % (775287)------------------------------
% 23.10/3.81  % (775287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.10/3.81  % (775287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.10/3.81  % (775287)CaDiCaL version: 2.1.3
% 23.10/3.81  % (775287)Termination reason: Instruction limit
% 23.10/3.81  % (775287)Termination phase: Saturation
% 23.10/3.81  % (775287)Time elapsed: 0.131 s
% 23.10/3.81  % (775287)Peak memory usage: 12 MB
% 23.10/3.81  % (775287)Instructions burned: 302 (million)
% 23.10/3.81  % (775301)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=4170541664:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2967 on theBenchmark for (2967ds/71Mi)
% 23.10/3.81  % (775301)Instruction limit reached! 
% 23.10/3.81  % (775301)------------------------------
% 23.10/3.81  % (775301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.10/3.81  % (775301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.10/3.81  % (775301)CaDiCaL version: 2.1.3
% 23.10/3.81  % (775301)Termination reason: Instruction limit
% 23.10/3.81  % (775301)Termination phase: Saturation
% 23.10/3.81  % (775301)Time elapsed: 0.057 s
% 23.10/3.81  % (775301)Peak memory usage: 12 MB
% 23.10/3.81  % (775301)Instructions burned: 72 (million)
% 23.10/3.81  % (775306)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 23.10/3.81  % (775306)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 23.10/3.81  % (775299)Instruction limit reached! 
% 23.10/3.81  % (775299)------------------------------
% 23.10/3.81  % (775299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.10/3.81  % (775299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.10/3.81  % (775299)CaDiCaL version: 2.1.3
% 23.10/3.81  % (775299)Termination reason: Instruction limit
% 23.10/3.81  % (775299)Termination phase: Saturation
% 23.10/3.81  % (775299)Time elapsed: 0.125 s
% 23.10/3.81  % (775299)Peak memory usage: 14 MB
% 23.10/3.81  % (775299)Instructions burned: 448 (million)
% 23.10/3.81  % (775306)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3760012409:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2966 on theBenchmark for (2966ds/100Mi)
% 23.10/3.81  % (775308)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 23.28/3.94  % (775308)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=825210264:i=1352:add=on:aac=none:rtra=on_2965 on theBenchmark for (2965ds/1352Mi)
% 23.28/3.94  % (775308)Refutation not found, incomplete strategy
% 23.28/3.94  % (775308)------------------------------
% 23.28/3.94  % (775308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/3.94  % (775308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.28/3.94  % (775308)CaDiCaL version: 2.1.3
% 23.28/3.94  % (775308)Termination reason: Refutation not found, incomplete strategy
% 23.28/3.94  % (775308)Time elapsed: 0.001 s
% 23.28/3.94  % (775308)Peak memory usage: 11 MB
% 23.28/3.94  % (775308)Instructions burned: 2 (million)
% 23.28/3.94  % (775308)------------------------------
% 23.28/3.94  % (775308)------------------------------
% 23.28/3.94  % (775311)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=524063947:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2965 on theBenchmark for (2965ds/646Mi)
% 23.28/3.94  % (775282)Instruction limit reached! 
% 23.28/3.94  % (775282)------------------------------
% 23.28/3.94  % (775282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/3.94  % (775282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.28/3.94  % (775282)CaDiCaL version: 2.1.3
% 23.28/3.94  % (775282)Termination reason: Instruction limit
% 23.28/3.94  % (775282)Termination phase: Saturation
% 23.28/3.94  % (775282)Time elapsed: 0.374 s
% 23.28/3.94  % (775282)Peak memory usage: 13 MB
% 23.28/3.94  % (775282)Instructions burned: 824 (million)
% 23.28/3.94  % (775313)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=994272139:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2965 on theBenchmark for (2965ds/1924Mi)
% 23.28/3.94  % (775313)Refutation not found, incomplete strategy
% 23.28/3.94  % (775313)------------------------------
% 23.28/3.94  % (775313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/3.94  % (775313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.28/3.94  % (775313)CaDiCaL version: 2.1.3
% 23.28/3.94  % (775313)Termination reason: Refutation not found, incomplete strategy
% 23.28/3.94  % (775313)Time elapsed: 0.001 s
% 23.28/3.94  % (775313)Peak memory usage: 11 MB
% 23.28/3.94  % (775313)------------------------------
% 23.28/3.94  % (775313)------------------------------
% 23.28/3.94  % (775306)Instruction limit reached! 
% 23.28/3.94  % (775306)------------------------------
% 23.28/3.94  % (775306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/3.94  % (775306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.28/3.94  % (775306)CaDiCaL version: 2.1.3
% 23.28/3.94  % (775306)Termination reason: Instruction limit
% 23.28/3.94  % (775306)Termination phase: Saturation
% 23.28/3.94  % (775306)Time elapsed: 0.086 s
% 23.28/3.94  % (775306)Peak memory usage: 12 MB
% 23.28/3.94  % (775306)Instructions burned: 101 (million)
% 23.28/3.94  % (775316)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=465252424:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2965 on theBenchmark for (2965ds/592Mi)
% 23.28/3.94  % (775315)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3130369679:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2965 on theBenchmark for (2965ds/984Mi)
% 23.28/3.94  % (775315)Refutation not found, incomplete strategy
% 23.28/3.94  % (775315)------------------------------
% 23.28/3.94  % (775315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/3.94  % (775315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.28/3.94  % (775315)CaDiCaL version: 2.1.3
% 23.28/3.94  % (775315)Termination reason: Refutation not found, incomplete strategy
% 23.28/3.94  % (775315)Time elapsed: 0.001 s
% 23.28/3.94  % (775315)Peak memory usage: 11 MB
% 23.28/3.94  % (775315)Instructions burned: 1 (million)
% 23.28/3.94  % (775315)------------------------------
% 23.28/3.94  % (775315)------------------------------
% 23.28/3.94  % (775294)Instruction limit reached! 
% 23.28/3.94  % (775294)------------------------------
% 23.28/3.94  % (775294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/3.94  % (775294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/4.23  % (775294)CaDiCaL version: 2.1.3
% 26.17/4.23  % (775294)Termination reason: Instruction limit
% 26.17/4.23  % (775294)Termination phase: Saturation
% 26.17/4.23  % (775294)Time elapsed: 0.313 s
% 26.17/4.23  % (775294)Peak memory usage: 12 MB
% 26.17/4.23  % (775294)Instructions burned: 606 (million)
% 26.17/4.23  % (775311)Instruction limit reached! 
% 26.17/4.23  % (775311)------------------------------
% 26.17/4.23  % (775311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.17/4.23  % (775311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/4.23  % (775311)CaDiCaL version: 2.1.3
% 26.17/4.23  % (775311)Termination reason: Instruction limit
% 26.17/4.23  % (775311)Termination phase: Saturation
% 26.17/4.23  % (775311)Time elapsed: 0.119 s
% 26.17/4.23  % (775311)Peak memory usage: 14 MB
% 26.17/4.23  % (775311)Instructions burned: 652 (million)
% 26.17/4.23  % (775320)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 26.17/4.23  % (775321)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 26.17/4.23  % (775321)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=1864098238:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2964 on theBenchmark for (2964ds/244Mi)
% 26.17/4.23  % (775320)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=2944820061:i=999:add=on:rtra=on_2964 on theBenchmark for (2964ds/999Mi)
% 26.17/4.23  % (775321)Refutation not found, incomplete strategy
% 26.17/4.23  % (775321)------------------------------
% 26.17/4.23  % (775321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.17/4.23  % (775321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/4.23  % (775321)CaDiCaL version: 2.1.3
% 26.17/4.23  % (775321)Termination reason: Refutation not found, incomplete strategy
% 26.17/4.23  % (775321)Time elapsed: 0.001 s
% 26.17/4.23  % (775321)Peak memory usage: 11 MB
% 26.17/4.23  % (775321)Instructions burned: 2 (million)
% 26.17/4.23  % (775321)------------------------------
% 26.17/4.23  % (775321)------------------------------
% 26.17/4.23  % (775319)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=735371782:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2964 on theBenchmark for (2964ds/872Mi)
% 26.17/4.23  % (775324)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1530977883:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2964 on theBenchmark for (2964ds/113Mi)
% 26.17/4.23  % (775324)Refutation not found, incomplete strategy
% 26.17/4.23  % (775324)------------------------------
% 26.17/4.23  % (775324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.17/4.23  % (775324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/4.23  % (775324)CaDiCaL version: 2.1.3
% 26.17/4.23  % (775324)Termination reason: Refutation not found, incomplete strategy
% 26.17/4.23  % (775324)Time elapsed: 0.0000 s
% 26.17/4.23  % (775324)Peak memory usage: 11 MB
% 26.17/4.23  % (775324)Instructions burned: 1 (million)
% 26.17/4.23  % (775324)------------------------------
% 26.17/4.23  % (775324)------------------------------
% 26.17/4.23  % (775319)Refutation not found, incomplete strategy
% 26.17/4.23  % (775319)------------------------------
% 26.17/4.23  % (775319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.17/4.23  % (775319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/4.23  % (775319)CaDiCaL version: 2.1.3
% 26.17/4.23  % (775319)Termination reason: Refutation not found, incomplete strategy
% 26.17/4.23  % (775319)Time elapsed: 0.005 s
% 26.17/4.23  % (775319)Peak memory usage: 11 MB
% 26.17/4.23  % (775319)------------------------------
% 26.17/4.23  % (775319)------------------------------
% 26.17/4.23  % (775328)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2381217166:st=2:i=5026:sd=1:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/5026Mi)
% 26.17/4.23  % (775328)Refutation not found, incomplete strategy
% 26.17/4.23  % (775328)------------------------------
% 26.17/4.23  % (775328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.17/4.23  % (775328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/4.23  % (775328)CaDiCaL version: 2.1.3
% 26.17/4.23  % (775328)Termination reason: Refutation not found, incomplete strategy
% 26.17/4.28  % (775328)Time elapsed: 0.0000 s
% 26.17/4.28  % (775328)Peak memory usage: 11 MB
% 26.17/4.28  % (775328)------------------------------
% 26.17/4.28  % (775328)------------------------------
% 26.17/4.28  % (775330)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 26.17/4.28  % (775330)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=833971389:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2964 on theBenchmark for (2964ds/763Mi)
% 26.17/4.28  % (775330)Refutation not found, incomplete strategy
% 26.17/4.28  % (775330)------------------------------
% 26.17/4.28  % (775330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.17/4.28  % (775330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/4.28  % (775330)CaDiCaL version: 2.1.3
% 26.17/4.28  % (775330)Termination reason: Refutation not found, incomplete strategy
% 26.17/4.28  % (775330)Time elapsed: 0.0000 s
% 26.17/4.28  % (775330)Peak memory usage: 11 MB
% 26.17/4.28  % (775330)Instructions burned: 1 (million)
% 26.17/4.28  % (775330)------------------------------
% 26.17/4.28  % (775330)------------------------------
% 26.17/4.28  % (775332)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2767939862:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2964 on theBenchmark for (2964ds/1144Mi)
% 26.17/4.28  % (775332)Refutation not found, incomplete strategy
% 26.17/4.28  % (775332)------------------------------
% 26.17/4.28  % (775332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.17/4.28  % (775332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/4.28  % (775332)CaDiCaL version: 2.1.3
% 26.17/4.28  % (775332)Termination reason: Refutation not found, incomplete strategy
% 26.17/4.28  % (775332)Time elapsed: 0.0000 s
% 26.17/4.28  % (775332)Peak memory usage: 11 MB
% 26.17/4.28  % (775332)------------------------------
% 26.17/4.28  % (775332)------------------------------
% 26.17/4.28  % (775327)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1472677947:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/7795Mi)
% 26.17/4.28  % (775327)Refutation not found, incomplete strategy
% 26.17/4.28  % (775327)------------------------------
% 26.17/4.28  % (775327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.17/4.28  % (775327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/4.28  % (775327)CaDiCaL version: 2.1.3
% 26.17/4.28  % (775327)Termination reason: Refutation not found, incomplete strategy
% 26.17/4.28  % (775327)Time elapsed: 0.001 s
% 26.17/4.28  % (775327)Peak memory usage: 11 MB
% 26.17/4.28  % (775327)------------------------------
% 26.17/4.28  % (775327)------------------------------
% 26.17/4.28  % (775334)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 26.17/4.28  % (775334)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=2576997490:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2963 on theBenchmark for (2963ds/52Mi)
% 26.17/4.28  % (775336)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=103525188:i=1724:fsr=off:rtra=on:fe=abstraction_2963 on theBenchmark for (2963ds/1724Mi)
% 26.17/4.28  % (775334)Refutation not found, incomplete strategy
% 26.17/4.28  % (775334)------------------------------
% 26.17/4.28  % (775334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.17/4.28  % (775334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.17/4.28  % (775334)CaDiCaL version: 2.1.3
% 26.17/4.28  % (775334)Termination reason: Refutation not found, incomplete strategy
% 26.17/4.28  % (775334)Time elapsed: 0.007 s
% 26.17/4.28  % (775334)Peak memory usage: 12 MB
% 26.17/4.28  % (775334)Instructions burned: 6 (million)
% 26.17/4.28  % (775334)------------------------------
% 26.17/4.28  % (775334)------------------------------
% 26.17/4.28  % (775339)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=2235577341:i=439:add=on:slsql=off:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/439Mi)
% 26.17/4.28  % (775297)Instruction limit reached! 
% 26.17/4.28  % (775297)------------------------------
% 26.17/4.28  % (775297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.10/4.64  % (775297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.10/4.64  % (775297)CaDiCaL version: 2.1.3
% 28.10/4.64  % (775297)Termination reason: Instruction limit
% 28.10/4.64  % (775297)Termination phase: Saturation
% 28.10/4.64  % (775297)Time elapsed: 0.448 s
% 28.10/4.64  % (775297)Peak memory usage: 13 MB
% 28.10/4.64  % (775297)Instructions burned: 842 (million)
% 28.10/4.64  % (775341)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=4249631270:i=6395:sd=1:rtra=on:ss=axioms_2962 on theBenchmark for (2962ds/6395Mi)
% 28.10/4.64  % (775341)Refutation not found, incomplete strategy
% 28.10/4.64  % (775341)------------------------------
% 28.10/4.64  % (775341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.10/4.64  % (775341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.10/4.64  % (775341)CaDiCaL version: 2.1.3
% 28.10/4.64  % (775341)Termination reason: Refutation not found, incomplete strategy
% 28.10/4.64  % (775341)Time elapsed: 0.001 s
% 28.10/4.64  % (775341)Peak memory usage: 11 MB
% 28.10/4.64  % (775341)------------------------------
% 28.10/4.64  % (775341)------------------------------
% 28.10/4.64  % (775343)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 28.10/4.64  % (775343)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=1080704054:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2962 on theBenchmark for (2962ds/6762Mi)
% 28.10/4.64  % (775343)Refutation not found, incomplete strategy
% 28.10/4.64  % (775343)------------------------------
% 28.10/4.64  % (775343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.10/4.64  % (775343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.10/4.64  % (775343)CaDiCaL version: 2.1.3
% 28.10/4.64  % (775343)Termination reason: Refutation not found, incomplete strategy
% 28.10/4.64  % (775343)Time elapsed: 0.0000 s
% 28.10/4.64  % (775343)Peak memory usage: 11 MB
% 28.10/4.64  % (775343)------------------------------
% 28.10/4.64  % (775343)------------------------------
% 28.10/4.64  % (775345)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 28.10/4.64  % (775345)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=4040194852:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2962 on theBenchmark for (2962ds/376Mi)
% 28.10/4.64  % (775339)Instruction limit reached! 
% 28.10/4.64  % (775339)------------------------------
% 28.10/4.64  % (775339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.10/4.64  % (775339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.10/4.64  % (775339)CaDiCaL version: 2.1.3
% 28.10/4.64  % (775339)Termination reason: Instruction limit
% 28.10/4.64  % (775339)Termination phase: Saturation
% 28.10/4.64  % (775339)Time elapsed: 0.297 s
% 28.10/4.64  % (775339)Peak memory usage: 12 MB
% 28.10/4.64  % (775339)Instructions burned: 440 (million)
% 28.10/4.64  % (775316)Instruction limit reached! 
% 28.10/4.64  % (775316)------------------------------
% 28.10/4.64  % (775316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.10/4.64  % (775316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.10/4.64  % (775316)CaDiCaL version: 2.1.3
% 28.10/4.64  % (775316)Termination reason: Instruction limit
% 28.10/4.64  % (775316)Termination phase: Saturation
% 28.10/4.64  % (775316)Time elapsed: 0.446 s
% 28.10/4.64  % (775316)Peak memory usage: 12 MB
% 28.10/4.64  % (775316)Instructions burned: 592 (million)
% 28.10/4.64  % (775345)Instruction limit reached! 
% 28.10/4.64  % (775345)------------------------------
% 28.10/4.64  % (775345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.10/4.64  % (775345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.10/4.64  % (775345)CaDiCaL version: 2.1.3
% 28.10/4.64  % (775345)Termination reason: Instruction limit
% 28.10/4.64  % (775345)Termination phase: Saturation
% 28.10/4.64  % (775345)Time elapsed: 0.204 s
% 28.10/4.64  % (775345)Peak memory usage: 14 MB
% 28.10/4.64  % (775345)Instructions burned: 376 (million)
% 28.10/4.64  % (775347)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=3765784861:i=965:bd=all:ins=4:rtra=on_2960 on theBenchmark for (2960ds/965Mi)
% 28.10/4.64  % (775348)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3870620358:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2960 on theBenchmark for (2960ds/5013Mi)
% 32.15/5.09  % (775348)Refutation not found, incomplete strategy
% 32.15/5.09  % (775348)------------------------------
% 32.15/5.09  % (775348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.15/5.09  % (775348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.15/5.09  % (775348)CaDiCaL version: 2.1.3
% 32.15/5.09  % (775348)Termination reason: Refutation not found, incomplete strategy
% 32.15/5.09  % (775348)Time elapsed: 0.001 s
% 32.15/5.09  % (775348)Peak memory usage: 11 MB
% 32.15/5.09  % (775349)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3627580094:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2960 on theBenchmark for (2960ds/1583Mi)
% 32.15/5.09  % (775348)------------------------------
% 32.15/5.09  % (775348)------------------------------
% 32.15/5.09  % (775336)Instruction limit reached! 
% 32.15/5.09  % (775336)------------------------------
% 32.15/5.09  % (775336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.15/5.09  % (775336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.15/5.09  % (775336)CaDiCaL version: 2.1.3
% 32.15/5.09  % (775336)Termination reason: Instruction limit
% 32.15/5.09  % (775336)Termination phase: Saturation
% 32.15/5.09  % (775336)Time elapsed: 0.394 s
% 32.15/5.09  % (775336)Peak memory usage: 13 MB
% 32.15/5.09  % (775336)Instructions burned: 1727 (million)
% 32.15/5.09  % (775353)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 32.15/5.09  % (775353)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 32.15/5.09  % (775353)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 32.15/5.09  % (775353)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 32.15/5.09  % (775354)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2924463555:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/515Mi)
% 32.15/5.09  % (775354)Refutation not found, incomplete strategy
% 32.15/5.09  % (775354)------------------------------
% 32.15/5.09  % (775354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.15/5.09  % (775354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.15/5.09  % (775354)CaDiCaL version: 2.1.3
% 32.15/5.09  % (775354)Termination reason: Refutation not found, incomplete strategy
% 32.15/5.09  % (775354)Time elapsed: 0.0000 s
% 32.15/5.09  % (775354)Peak memory usage: 12 MB
% 32.15/5.09  % (775354)------------------------------
% 32.15/5.09  % (775354)------------------------------
% 32.15/5.09  % (775353)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=394310127:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2959 on theBenchmark for (2959ds/1774Mi)
% 32.15/5.09  % (775353)Refutation not found, incomplete strategy
% 32.15/5.09  % (775353)------------------------------
% 32.15/5.09  % (775353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.15/5.09  % (775353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.15/5.09  % (775353)CaDiCaL version: 2.1.3
% 32.15/5.09  % (775353)Termination reason: Refutation not found, incomplete strategy
% 32.15/5.09  % (775353)Time elapsed: 0.0000 s
% 32.15/5.09  % (775353)Peak memory usage: 12 MB
% 32.15/5.09  % (775353)------------------------------
% 32.15/5.09  % (775353)------------------------------
% 32.15/5.09  % (775356)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 32.15/5.09  % (775356)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=3716805560:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2959 on theBenchmark for (2959ds/1297Mi)
% 32.15/5.09  % (775358)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=3908918732:s2a=on:i=611:rtra=on:gsp=on_2959 on theBenchmark for (2959ds/611Mi)
% 32.94/5.44  % (775358)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 32.94/5.44  % (775320)Instruction limit reached! 
% 32.94/5.44  % (775320)------------------------------
% 32.94/5.44  % (775320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.94/5.44  % (775320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.94/5.44  % (775320)CaDiCaL version: 2.1.3
% 32.94/5.44  % (775320)Termination reason: Instruction limit
% 32.94/5.44  % (775320)Termination phase: Saturation
% 32.94/5.44  % (775320)Time elapsed: 0.532 s
% 32.94/5.44  % (775320)Peak memory usage: 14 MB
% 32.94/5.44  % (775320)Instructions burned: 999 (million)
% 32.94/5.44  % (775361)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 32.94/5.44  % (775361)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2366278355:i=72:bd=all:rtra=on_2959 on theBenchmark for (2959ds/72Mi)
% 32.94/5.44  % (775361)Refutation not found, incomplete strategy
% 32.94/5.44  % (775361)------------------------------
% 32.94/5.44  % (775361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.94/5.44  % (775361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.94/5.44  % (775361)CaDiCaL version: 2.1.3
% 32.94/5.44  % (775361)Termination reason: Refutation not found, incomplete strategy
% 32.94/5.44  % (775361)Time elapsed: 0.001 s
% 32.94/5.44  % (775361)Peak memory usage: 11 MB
% 32.94/5.44  % (775361)Instructions burned: 1 (million)
% 32.94/5.44  % (775361)------------------------------
% 32.94/5.44  % (775361)------------------------------
% 32.94/5.44  % (775363)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=3424775688:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2958 on theBenchmark for (2958ds/6580Mi)
% 32.94/5.44  % (775358)Instruction limit reached! 
% 32.94/5.44  % (775358)------------------------------
% 32.94/5.44  % (775358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.94/5.44  % (775358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.94/5.44  % (775358)CaDiCaL version: 2.1.3
% 32.94/5.44  % (775358)Termination reason: Instruction limit
% 32.94/5.44  % (775358)Termination phase: Saturation
% 32.94/5.44  % (775358)Time elapsed: 0.218 s
% 32.94/5.44  % (775358)Peak memory usage: 13 MB
% 32.94/5.44  % (775358)Instructions burned: 612 (million)
% 32.94/5.44  % (775365)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1284976038:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/6209Mi)
% 32.94/5.44  % (775365)Refutation not found, incomplete strategy
% 32.94/5.44  % (775365)------------------------------
% 32.94/5.44  % (775365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.94/5.44  % (775365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.94/5.44  % (775365)CaDiCaL version: 2.1.3
% 32.94/5.44  % (775365)Termination reason: Refutation not found, incomplete strategy
% 32.94/5.44  % (775365)Time elapsed: 0.001 s
% 32.94/5.44  % (775365)Peak memory usage: 11 MB
% 32.94/5.44  % (775365)------------------------------
% 32.94/5.44  % (775365)------------------------------
% 32.94/5.44  % (775356)Instruction limit reached! 
% 32.94/5.44  % (775356)------------------------------
% 32.94/5.44  % (775356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.94/5.44  % (775356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.94/5.44  % (775356)CaDiCaL version: 2.1.3
% 32.94/5.44  % (775356)Termination reason: Instruction limit
% 32.94/5.44  % (775356)Termination phase: Saturation
% 32.94/5.44  % (775356)Time elapsed: 0.267 s
% 32.94/5.44  % (775356)Peak memory usage: 12 MB
% 32.94/5.44  % (775356)Instructions burned: 1301 (million)
% 32.94/5.44  % (775367)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=3838806913:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2957 on theBenchmark for (2957ds/1003Mi)
% 32.94/5.44  % (775368)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 32.94/5.44  % (775368)ott+1002_16_sil=128000:si=on:random_seed=2233410780:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2956 on theBenchmark for (2956ds/409Mi)
% 32.94/5.44  % (775368)Instruction limit reached! 
% 32.94/5.44  % (775368)------------------------------
% 32.94/5.44  % (775368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.80  % (775368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.80  % (775368)CaDiCaL version: 2.1.3
% 35.96/5.80  % (775368)Termination reason: Instruction limit
% 35.96/5.80  % (775368)Termination phase: Saturation
% 35.96/5.80  % (775368)Time elapsed: 0.098 s
% 35.96/5.80  % (775368)Peak memory usage: 13 MB
% 35.96/5.80  % (775368)Instructions burned: 412 (million)
% 35.96/5.80  % (775347)Instruction limit reached! 
% 35.96/5.80  % (775347)------------------------------
% 35.96/5.80  % (775347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.80  % (775347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.80  % (775347)CaDiCaL version: 2.1.3
% 35.96/5.80  % (775347)Termination reason: Instruction limit
% 35.96/5.80  % (775347)Termination phase: Saturation
% 35.96/5.80  % (775347)Time elapsed: 0.431 s
% 35.96/5.80  % (775347)Peak memory usage: 16 MB
% 35.96/5.80  % (775347)Instructions burned: 968 (million)
% 35.96/5.80  % (775371)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=1647707434:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2955 on theBenchmark for (2955ds/403Mi)
% 35.96/5.80  % (775371)Refutation not found, incomplete strategy
% 35.96/5.80  % (775371)------------------------------
% 35.96/5.80  % (775371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.80  % (775371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.80  % (775371)CaDiCaL version: 2.1.3
% 35.96/5.80  % (775371)Termination reason: Refutation not found, incomplete strategy
% 35.96/5.80  % (775371)Time elapsed: 0.002 s
% 35.96/5.80  % (775371)Peak memory usage: 12 MB
% 35.96/5.80  % (775371)Instructions burned: 1 (million)
% 35.96/5.80  % (775371)------------------------------
% 35.96/5.80  % (775371)------------------------------
% 35.96/5.80  % (775372)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=955365780:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2955 on theBenchmark for (2955ds/6843Mi)
% 35.96/5.80  % (775372)Refutation not found, incomplete strategy
% 35.96/5.80  % (775372)------------------------------
% 35.96/5.80  % (775372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.80  % (775372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.80  % (775372)CaDiCaL version: 2.1.3
% 35.96/5.80  % (775372)Termination reason: Refutation not found, incomplete strategy
% 35.96/5.80  % (775372)Time elapsed: 0.002 s
% 35.96/5.80  % (775372)Peak memory usage: 11 MB
% 35.96/5.80  % (775372)Instructions burned: 1 (million)
% 35.96/5.80  % (775372)------------------------------
% 35.96/5.80  % (775372)------------------------------
% 35.96/5.80  % (775376)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=3010707645:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2955 on theBenchmark for (2955ds/888Mi)
% 35.96/5.80  % (775375)lrs+10_2:1_si=on:random_seed=1712451114:s2a=on:i=506:rtra=on:fe=abstraction_2955 on theBenchmark for (2955ds/506Mi)
% 35.96/5.80  % (775367)Instruction limit reached! 
% 35.96/5.80  % (775367)------------------------------
% 35.96/5.80  % (775367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.80  % (775367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.80  % (775367)CaDiCaL version: 2.1.3
% 35.96/5.80  % (775367)Termination reason: Instruction limit
% 35.96/5.80  % (775367)Termination phase: Saturation
% 35.96/5.80  % (775367)Time elapsed: 0.446 s
% 35.96/5.80  % (775367)Peak memory usage: 13 MB
% 35.96/5.80  % (775367)Instructions burned: 1003 (million)
% 35.96/5.80  % (775379)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 35.96/5.80  % (775379)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=1938784687:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2952 on theBenchmark for (2952ds/416Mi)
% 35.96/5.80  % (775375)Instruction limit reached! 
% 35.96/5.80  % (775375)------------------------------
% 35.96/5.80  % (775375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.80  % (775375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.80  % (775375)CaDiCaL version: 2.1.3
% 35.96/5.89  % (775375)Termination reason: Instruction limit
% 35.96/5.89  % (775375)Termination phase: Saturation
% 35.96/5.89  % (775375)Time elapsed: 0.381 s
% 35.96/5.89  % (775375)Peak memory usage: 12 MB
% 35.96/5.89  % (775375)Instructions burned: 506 (million)
% 35.96/5.89  % (775376)Instruction limit reached! 
% 35.96/5.89  % (775376)------------------------------
% 35.96/5.89  % (775376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.89  % (775376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.89  % (775376)CaDiCaL version: 2.1.3
% 35.96/5.89  % (775376)Termination reason: Instruction limit
% 35.96/5.89  % (775376)Termination phase: Saturation
% 35.96/5.89  % (775376)Time elapsed: 0.390 s
% 35.96/5.89  % (775376)Peak memory usage: 12 MB
% 35.96/5.89  % (775376)Instructions burned: 890 (million)
% 35.96/5.89  % (775383)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 35.96/5.89  % (775383)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=277706716:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2951 on theBenchmark for (2951ds/206Mi)
% 35.96/5.89  % (775382)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=1672911394: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_2951 on theBenchmark for (2951ds/13534Mi)
% 35.96/5.89  % (775382)Refutation not found, incomplete strategy
% 35.96/5.89  % (775382)------------------------------
% 35.96/5.89  % (775382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.89  % (775382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.89  % (775382)CaDiCaL version: 2.1.3
% 35.96/5.89  % (775382)Termination reason: Refutation not found, incomplete strategy
% 35.96/5.89  % (775382)Time elapsed: 0.004 s
% 35.96/5.89  % (775382)Peak memory usage: 11 MB
% 35.96/5.89  % (775382)------------------------------
% 35.96/5.89  % (775382)------------------------------
% 35.96/5.89  % (775386)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=2558803170:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2950 on theBenchmark for (2950ds/2295Mi)
% 35.96/5.89  % (775379)Instruction limit reached! 
% 35.96/5.89  % (775379)------------------------------
% 35.96/5.89  % (775379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.89  % (775379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.89  % (775379)CaDiCaL version: 2.1.3
% 35.96/5.89  % (775379)Termination reason: Instruction limit
% 35.96/5.89  % (775379)Termination phase: Saturation
% 35.96/5.89  % (775379)Time elapsed: 0.225 s
% 35.96/5.89  % (775379)Peak memory usage: 14 MB
% 35.96/5.89  % (775379)Instructions burned: 416 (million)
% 35.96/5.89  % (775383)Instruction limit reached! 
% 35.96/5.89  % (775383)------------------------------
% 35.96/5.89  % (775383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.89  % (775383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.89  % (775383)CaDiCaL version: 2.1.3
% 35.96/5.89  % (775383)Termination reason: Instruction limit
% 35.96/5.89  % (775383)Termination phase: Saturation
% 35.96/5.89  % (775383)Time elapsed: 0.129 s
% 35.96/5.89  % (775383)Peak memory usage: 12 MB
% 35.96/5.89  % (775383)Instructions burned: 206 (million)
% 35.96/5.89  % (775388)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=684911499:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2949 on theBenchmark for (2949ds/637Mi)
% 35.96/5.89  % (775389)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=370026968:hsq=on:i=667:rtra=on:ixr=off_2949 on theBenchmark for (2949ds/667Mi)
% 35.96/5.89  % (775349)Instruction limit reached! 
% 35.96/5.89  % (775349)------------------------------
% 35.96/5.89  % (775349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.96/5.89  % (775349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/5.89  % (775349)CaDiCaL version: 2.1.3
% 35.96/5.89  % (775349)Termination reason: Instruction limit
% 35.96/5.89  % (775349)Termination phase: Saturation
% 35.96/5.89  % (775349)Time elapsed: 1.158 s
% 35.96/5.89  % (775349)Peak memory usage: 13 MB
% 35.96/5.89  % (775349)Instructions burned: 1583 (million)
% 35.96/5.89  % (775392)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=3584498984:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2948 on theBenchmark for (2948ds/1801Mi)
% 41.37/6.84  % (775388)Instruction limit reached! 
% 41.37/6.84  % (775388)------------------------------
% 41.37/6.84  % (775388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.37/6.84  % (775388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.37/6.84  % (775388)CaDiCaL version: 2.1.3
% 41.37/6.84  % (775388)Termination reason: Instruction limit
% 41.37/6.84  % (775388)Termination phase: Saturation
% 41.37/6.84  % (775388)Time elapsed: 0.251 s
% 41.37/6.84  % (775388)Peak memory usage: 13 MB
% 41.37/6.84  % (775388)Instructions burned: 637 (million)
% 41.37/6.84  % (775394)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=3921607455:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2947 on theBenchmark for (2947ds/555Mi)
% 41.37/6.84  % (775389)Instruction limit reached! 
% 41.37/6.84  % (775389)------------------------------
% 41.37/6.84  % (775389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.37/6.84  % (775389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.37/6.84  % (775389)CaDiCaL version: 2.1.3
% 41.37/6.84  % (775389)Termination reason: Instruction limit
% 41.37/6.84  % (775389)Termination phase: Saturation
% 41.37/6.84  % (775389)Time elapsed: 0.306 s
% 41.37/6.84  % (775389)Peak memory usage: 12 MB
% 41.37/6.84  % (775389)Instructions burned: 668 (million)
% 41.37/6.84  % (775396)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=1378444749:i=88:s2at=3:nm=2:rtra=on:rawr=on_2946 on theBenchmark for (2946ds/88Mi)
% 41.37/6.84  % (775396)Instruction limit reached! 
% 41.37/6.84  % (775396)------------------------------
% 41.37/6.84  % (775396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.37/6.84  % (775396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.37/6.84  % (775396)CaDiCaL version: 2.1.3
% 41.37/6.84  % (775396)Termination reason: Instruction limit
% 41.37/6.84  % (775396)Termination phase: Saturation
% 41.37/6.84  % (775396)Time elapsed: 0.034 s
% 41.37/6.84  % (775396)Peak memory usage: 13 MB
% 41.37/6.84  % (775396)Instructions burned: 89 (million)
% 41.37/6.84  % (775398)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2026392461:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2945 on theBenchmark for (2945ds/280Mi)
% 41.37/6.84  % (775267)Instruction limit reached! 
% 41.37/6.84  % (775267)------------------------------
% 41.37/6.84  % (775267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.37/6.84  % (775267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.37/6.84  % (775267)CaDiCaL version: 2.1.3
% 41.37/6.84  % (775267)Termination reason: Instruction limit
% 41.37/6.84  % (775267)Termination phase: Saturation
% 41.37/6.84  % (775267)Time elapsed: 2.540 s
% 41.37/6.84  % (775267)Peak memory usage: 16 MB
% 41.37/6.84  % (775267)Instructions burned: 4388 (million)
% 41.37/6.84  % (775234)Instruction limit reached! 
% 41.37/6.84  % (775234)------------------------------
% 41.37/6.84  % (775234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.37/6.84  % (775234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.37/6.84  % (775234)CaDiCaL version: 2.1.3
% 41.37/6.84  % (775234)Termination reason: Instruction limit
% 41.37/6.84  % (775234)Termination phase: Saturation
% 41.37/6.84  % (775234)Time elapsed: 3.093 s
% 41.37/6.84  % (775234)Peak memory usage: 24 MB
% 41.37/6.84  % (775234)Instructions burned: 6361 (million)
% 41.37/6.84  % (775398)Instruction limit reached! 
% 41.37/6.84  % (775398)------------------------------
% 41.37/6.84  % (775398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.37/6.84  % (775398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.37/6.84  % (775398)CaDiCaL version: 2.1.3
% 41.37/6.84  % (775398)Termination reason: Instruction limit
% 41.37/6.84  % (775398)Termination phase: Saturation
% 41.37/6.84  % (775398)Time elapsed: 0.122 s
% 41.37/6.84  % (775398)Peak memory usage: 12 MB
% 41.37/6.84  % (775398)Instructions burned: 281 (million)
% 41.37/6.84  % (775400)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=3027124024:s2a=on:i=3166:bd=preordered:rtra=on_2944 on theBenchmark for (2944ds/3166Mi)
% 41.37/6.84  % (775402)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4147668815:i=2352:rtra=on:ixr=off_2944 on theBenchmark for (2944ds/2352Mi)
% 46.85/7.26  % (775401)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 46.85/7.26  % (775394)Instruction limit reached! 
% 46.85/7.26  % (775394)------------------------------
% 46.85/7.26  % (775394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.85/7.26  % (775394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/7.26  % (775394)CaDiCaL version: 2.1.3
% 46.85/7.26  % (775394)Termination reason: Instruction limit
% 46.85/7.26  % (775394)Termination phase: Saturation
% 46.85/7.26  % (775394)Time elapsed: 0.287 s
% 46.85/7.26  % (775394)Peak memory usage: 12 MB
% 46.85/7.26  % (775394)Instructions burned: 556 (million)
% 46.85/7.26  % (775401)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=1442233236:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2944 on theBenchmark for (2944ds/4201Mi)
% 46.85/7.26  % (775401)Refutation not found, incomplete strategy
% 46.85/7.27  % (775401)------------------------------
% 46.85/7.27  % (775401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.85/7.27  % (775401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/7.27  % (775401)CaDiCaL version: 2.1.3
% 46.85/7.27  % (775401)Termination reason: Refutation not found, incomplete strategy
% 46.85/7.27  % (775401)Time elapsed: 0.006 s
% 46.85/7.27  % (775401)Peak memory usage: 11 MB
% 46.85/7.27  % (775401)Instructions burned: 3 (million)
% 46.85/7.27  % (775401)------------------------------
% 46.85/7.27  % (775401)------------------------------
% 46.85/7.27  % (775405)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 46.85/7.27  % (775405)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=2710434619:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2944 on theBenchmark for (2944ds/452Mi)
% 46.85/7.27  % (775405)Refutation not found, incomplete strategy
% 46.85/7.27  % (775405)------------------------------
% 46.85/7.27  % (775405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.85/7.27  % (775405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/7.27  % (775405)CaDiCaL version: 2.1.3
% 46.85/7.27  % (775405)Termination reason: Refutation not found, incomplete strategy
% 46.85/7.27  % (775405)Time elapsed: 0.002 s
% 46.85/7.27  % (775405)Peak memory usage: 12 MB
% 46.85/7.27  % (775405)Instructions burned: 1 (million)
% 46.85/7.27  % (775405)------------------------------
% 46.85/7.27  % (775405)------------------------------
% 46.85/7.27  % (775407)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 46.85/7.27  % (775407)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 46.85/7.27  % (775407)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=3396927105:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2944 on theBenchmark for (2944ds/483Mi)
% 46.85/7.27  % (775407)Refutation not found, incomplete strategy
% 46.85/7.27  % (775407)------------------------------
% 46.85/7.27  % (775407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.85/7.27  % (775407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.85/7.27  % (775407)CaDiCaL version: 2.1.3
% 46.85/7.27  % (775407)Termination reason: Refutation not found, incomplete strategy
% 46.85/7.27  % (775407)Time elapsed: 0.001 s
% 46.85/7.27  % (775407)Peak memory usage: 11 MB
% 46.85/7.27  % (775407)------------------------------
% 46.85/7.27  % (775407)------------------------------
% 46.85/7.27  % (775411)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=3957831312: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_2943 on theBenchmark for (2943ds/17240Mi)
% 46.85/7.27  % (775409)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3759911661:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2943 on theBenchmark for (2943ds/168Mi)
% 47.43/7.38  % (775409)Instruction limit reached! 
% 47.43/7.38  % (775409)------------------------------
% 47.43/7.38  % (775409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.43/7.38  % (775409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.43/7.38  % (775409)CaDiCaL version: 2.1.3
% 47.43/7.38  % (775409)Termination reason: Instruction limit
% 47.43/7.38  % (775409)Termination phase: Saturation
% 47.43/7.38  % (775409)Time elapsed: 0.146 s
% 47.43/7.38  % (775409)Peak memory usage: 12 MB
% 47.43/7.38  % (775409)Instructions burned: 168 (million)
% 47.43/7.38  % (775386)Instruction limit reached! 
% 47.43/7.38  % (775386)------------------------------
% 47.43/7.38  % (775386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.43/7.38  % (775386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.43/7.38  % (775386)CaDiCaL version: 2.1.3
% 47.43/7.38  % (775386)Termination reason: Instruction limit
% 47.43/7.38  % (775386)Termination phase: Saturation
% 47.43/7.38  % (775386)Time elapsed: 0.859 s
% 47.43/7.38  % (775386)Peak memory usage: 13 MB
% 47.43/7.38  % (775386)Instructions burned: 2298 (million)
% 47.43/7.38  % (775414)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=2908988965:i=2022:fsr=off:rtra=on:ixr=off_2941 on theBenchmark for (2941ds/2022Mi)
% 47.43/7.38  % (775415)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=623875759:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2941 on theBenchmark for (2941ds/2274Mi)
% 47.43/7.38  % (775392)Instruction limit reached! 
% 47.43/7.38  % (775392)------------------------------
% 47.43/7.38  % (775392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.43/7.38  % (775392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.43/7.38  % (775392)CaDiCaL version: 2.1.3
% 47.43/7.38  % (775392)Termination reason: Instruction limit
% 47.43/7.38  % (775392)Termination phase: Saturation
% 47.43/7.38  % (775392)Time elapsed: 0.926 s
% 47.43/7.38  % (775392)Peak memory usage: 18 MB
% 47.43/7.38  % (775392)Instructions burned: 1803 (million)
% 47.43/7.38  % (775418)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2172870621:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2938 on theBenchmark for (2938ds/555Mi)
% 47.43/7.38  % (775418)Instruction limit reached! 
% 47.43/7.38  % (775418)------------------------------
% 47.43/7.38  % (775418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.43/7.38  % (775418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.43/7.38  % (775418)CaDiCaL version: 2.1.3
% 47.43/7.38  % (775418)Termination reason: Instruction limit
% 47.43/7.38  % (775418)Termination phase: Saturation
% 47.43/7.38  % (775418)Time elapsed: 0.193 s
% 47.43/7.38  % (775418)Peak memory usage: 13 MB
% 47.43/7.38  % (775418)Instructions burned: 557 (million)
% 47.43/7.38  % (775420)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=2452222760:avsq=on:i=2220:rtra=on_2936 on theBenchmark for (2936ds/2220Mi)
% 47.43/7.38  % (775402)Instruction limit reached! 
% 47.43/7.38  % (775402)------------------------------
% 47.43/7.38  % (775402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.43/7.38  % (775402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.43/7.38  % (775402)CaDiCaL version: 2.1.3
% 47.43/7.38  % (775402)Termination reason: Instruction limit
% 47.43/7.38  % (775402)Termination phase: Saturation
% 47.43/7.38  % (775402)Time elapsed: 0.999 s
% 47.43/7.38  % (775402)Peak memory usage: 13 MB
% 47.43/7.38  % (775402)Instructions burned: 2353 (million)
% 47.43/7.38  % (775422)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3877758512:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2934 on theBenchmark for (2934ds/715Mi)
% 47.43/7.38  % (775422)Refutation not found, incomplete strategy
% 47.43/7.38  % (775422)------------------------------
% 47.43/7.38  % (775422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.43/7.38  % (775422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.43/7.38  % (775422)CaDiCaL version: 2.1.3
% 47.43/7.38  % (775422)Termination reason: Refutation not found, incomplete strategy
% 47.43/7.38  % (775422)Time elapsed: 0.002 s
% 47.43/7.38  % (775422)Peak memory usage: 11 MB
% 47.43/7.38  % (775422)Instructions burned: 1 (million)
% 47.43/7.38  % (775422)------------------------------
% 49.43/7.78  % (775422)------------------------------
% 49.43/7.78  % (775424)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 49.43/7.78  % (775424)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=55106691:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2933 on theBenchmark for (2933ds/1979Mi)
% 49.43/7.78  % (775424)Refutation not found, incomplete strategy
% 49.43/7.78  % (775424)------------------------------
% 49.43/7.78  % (775424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.43/7.78  % (775424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.43/7.78  % (775424)CaDiCaL version: 2.1.3
% 49.43/7.78  % (775424)Termination reason: Refutation not found, incomplete strategy
% 49.43/7.78  % (775424)Time elapsed: 0.001 s
% 49.43/7.78  % (775424)Peak memory usage: 11 MB
% 49.43/7.78  % (775424)Instructions burned: 1 (million)
% 49.43/7.78  % (775424)------------------------------
% 49.43/7.78  % (775424)------------------------------
% 49.43/7.78  % (775426)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2633752525:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2933 on theBenchmark for (2933ds/28911Mi)
% 49.43/7.78  % (775426)Refutation not found, incomplete strategy
% 49.43/7.78  % (775426)------------------------------
% 49.43/7.78  % (775426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.43/7.78  % (775426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.43/7.78  % (775426)CaDiCaL version: 2.1.3
% 49.43/7.78  % (775426)Termination reason: Refutation not found, incomplete strategy
% 49.43/7.78  % (775426)Time elapsed: 0.001 s
% 49.43/7.78  % (775426)Peak memory usage: 11 MB
% 49.43/7.78  % (775426)------------------------------
% 49.43/7.78  % (775426)------------------------------
% 49.43/7.78  % (775428)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=2457700900:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2933 on theBenchmark for (2933ds/414Mi)
% 49.43/7.78  % (775428)Refutation not found, incomplete strategy
% 49.43/7.78  % (775428)------------------------------
% 49.43/7.78  % (775428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.43/7.78  % (775428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.43/7.78  % (775428)CaDiCaL version: 2.1.3
% 49.43/7.78  % (775428)Termination reason: Refutation not found, incomplete strategy
% 49.43/7.78  % (775428)Time elapsed: 0.002 s
% 49.43/7.78  % (775428)Peak memory usage: 11 MB
% 49.43/7.78  % (775428)Instructions burned: 3 (million)
% 49.43/7.78  % (775428)------------------------------
% 49.43/7.78  % (775428)------------------------------
% 49.43/7.78  % (775430)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=822671221:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2933 on theBenchmark for (2933ds/429Mi)
% 49.43/7.78  % (775430)Instruction limit reached! 
% 49.43/7.78  % (775430)------------------------------
% 49.43/7.78  % (775430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.43/7.78  % (775430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.43/7.78  % (775430)CaDiCaL version: 2.1.3
% 49.43/7.78  % (775430)Termination reason: Instruction limit
% 49.43/7.78  % (775430)Termination phase: Saturation
% 49.43/7.78  % (775430)Time elapsed: 0.200 s
% 49.43/7.78  % (775430)Peak memory usage: 12 MB
% 49.43/7.78  % (775430)Instructions burned: 429 (million)
% 49.43/7.78  % (775433)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 49.43/7.78  % (775433)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2523256532:lrd=on:i=841:nm=0:rtra=on_2930 on theBenchmark for (2930ds/841Mi)
% 49.43/7.78  % (775400)Instruction limit reached! 
% 49.43/7.78  % (775400)------------------------------
% 49.43/7.78  % (775400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.43/7.78  % (775400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.43/7.78  % (775400)CaDiCaL version: 2.1.3
% 49.43/7.78  % (775400)Termination reason: Instruction limit
% 49.43/7.78  % (775400)Termination phase: Saturation
% 52.91/8.08  % (775400)Time elapsed: 1.467 s
% 52.91/8.08  % (775400)Peak memory usage: 14 MB
% 52.91/8.08  % (775400)Instructions burned: 3167 (million)
% 52.91/8.08  % (775435)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=754120144:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2929 on theBenchmark for (2929ds/445Mi)
% 52.91/8.08  % (775414)Instruction limit reached! 
% 52.91/8.08  % (775414)------------------------------
% 52.91/8.08  % (775414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/8.08  % (775414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/8.08  % (775414)CaDiCaL version: 2.1.3
% 52.91/8.08  % (775414)Termination reason: Instruction limit
% 52.91/8.08  % (775414)Termination phase: Saturation
% 52.91/8.08  % (775414)Time elapsed: 1.222 s
% 52.91/8.08  % (775414)Peak memory usage: 14 MB
% 52.91/8.08  % (775414)Instructions burned: 2023 (million)
% 52.91/8.08  % (775437)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=4211290570:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2929 on theBenchmark for (2929ds/1324Mi)
% 52.91/8.08  % (775437)Refutation not found, incomplete strategy
% 52.91/8.08  % (775437)------------------------------
% 52.91/8.08  % (775437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/8.08  % (775437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/8.08  % (775437)CaDiCaL version: 2.1.3
% 52.91/8.08  % (775437)Termination reason: Refutation not found, incomplete strategy
% 52.91/8.08  % (775437)Time elapsed: 0.001 s
% 52.91/8.08  % (775437)Peak memory usage: 11 MB
% 52.91/8.08  % (775437)Instructions burned: 1 (million)
% 52.91/8.08  % (775437)------------------------------
% 52.91/8.08  % (775437)------------------------------
% 52.91/8.08  % (775420)Instruction limit reached! 
% 52.91/8.08  % (775420)------------------------------
% 52.91/8.08  % (775420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/8.08  % (775420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/8.08  % (775420)CaDiCaL version: 2.1.3
% 52.91/8.08  % (775420)Termination reason: Instruction limit
% 52.91/8.08  % (775420)Termination phase: Saturation
% 52.91/8.08  % (775420)Time elapsed: 0.731 s
% 52.91/8.08  % (775420)Peak memory usage: 13 MB
% 52.91/8.08  % (775420)Instructions burned: 2220 (million)
% 52.91/8.08  % (775439)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=659524613:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2929 on theBenchmark for (2929ds/5401Mi)
% 52.91/8.08  % (775439)Refutation not found, incomplete strategy
% 52.91/8.08  % (775439)------------------------------
% 52.91/8.08  % (775439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/8.08  % (775439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/8.08  % (775439)CaDiCaL version: 2.1.3
% 52.91/8.08  % (775439)Termination reason: Refutation not found, incomplete strategy
% 52.91/8.08  % (775439)Time elapsed: 0.001 s
% 52.91/8.08  % (775439)Peak memory usage: 11 MB
% 52.91/8.08  % (775439)------------------------------
% 52.91/8.08  % (775439)------------------------------
% 52.91/8.08  % (775440)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3065122704:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2928 on theBenchmark for (2928ds/4070Mi)
% 52.91/8.08  % (775442)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3488656164:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2928 on theBenchmark for (2928ds/984Mi)
% 52.91/8.09  % (775442)Refutation not found, incomplete strategy
% 52.91/8.09  % (775442)------------------------------
% 52.91/8.09  % (775442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/8.09  % (775442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/8.09  % (775442)CaDiCaL version: 2.1.3
% 52.91/8.09  % (775442)Termination reason: Refutation not found, incomplete strategy
% 52.91/8.09  % (775442)Time elapsed: 0.001 s
% 52.91/8.09  % (775442)Peak memory usage: 11 MB
% 52.91/8.09  % (775442)Instructions burned: 1 (million)
% 52.91/8.09  % (775442)------------------------------
% 52.91/8.09  % (775442)------------------------------
% 52.91/8.09  % (775445)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2163122486:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2928 on theBenchmark for (2928ds/112Mi)
% 52.91/8.09  % (775445)Refutation not found, incomplete strategy
% 52.91/8.09  % (775445)------------------------------
% 52.91/8.09  % (775445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.54/9.36  % (775445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.54/9.36  % (775445)CaDiCaL version: 2.1.3
% 61.54/9.36  % (775445)Termination reason: Refutation not found, incomplete strategy
% 61.54/9.36  % (775445)Time elapsed: 0.001 s
% 61.54/9.36  % (775445)Peak memory usage: 11 MB
% 61.54/9.36  % (775445)Instructions burned: 1 (million)
% 61.54/9.36  % (775445)------------------------------
% 61.54/9.36  % (775445)------------------------------
% 61.54/9.36  % (775447)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2606721428:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2928 on theBenchmark for (2928ds/1144Mi)
% 61.54/9.36  % (775447)Refutation not found, incomplete strategy
% 61.54/9.36  % (775447)------------------------------
% 61.54/9.36  % (775447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.54/9.36  % (775447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.54/9.36  % (775447)CaDiCaL version: 2.1.3
% 61.54/9.36  % (775447)Termination reason: Refutation not found, incomplete strategy
% 61.54/9.36  % (775447)Time elapsed: 0.001 s
% 61.54/9.36  % (775447)Peak memory usage: 11 MB
% 61.54/9.36  % (775447)------------------------------
% 61.54/9.36  % (775447)------------------------------
% 61.54/9.36  % (775449)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=3788998227:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2928 on theBenchmark for (2928ds/1352Mi)
% 61.54/9.36  % (775435)Instruction limit reached! 
% 61.54/9.36  % (775435)------------------------------
% 61.54/9.36  % (775435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.54/9.36  % (775435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.54/9.36  % (775435)CaDiCaL version: 2.1.3
% 61.54/9.36  % (775435)Termination reason: Instruction limit
% 61.54/9.36  % (775435)Termination phase: Saturation
% 61.54/9.36  % (775435)Time elapsed: 0.224 s
% 61.54/9.36  % (775435)Peak memory usage: 14 MB
% 61.54/9.36  % (775435)Instructions burned: 445 (million)
% 61.54/9.36  % (775451)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=705609195:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2927 on theBenchmark for (2927ds/693Mi)
% 61.54/9.36  % (775433)Instruction limit reached! 
% 61.54/9.36  % (775433)------------------------------
% 61.54/9.36  % (775433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.54/9.36  % (775433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.54/9.36  % (775433)CaDiCaL version: 2.1.3
% 61.54/9.36  % (775433)Termination reason: Instruction limit
% 61.54/9.36  % (775433)Termination phase: Saturation
% 61.54/9.36  % (775433)Time elapsed: 0.379 s
% 61.54/9.36  % (775433)Peak memory usage: 13 MB
% 61.54/9.36  % (775433)Instructions burned: 843 (million)
% 61.54/9.36  % (775453)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=2048282723:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2926 on theBenchmark for (2926ds/908Mi)
% 61.54/9.36  % (775415)Instruction limit reached! 
% 61.54/9.36  % (775415)------------------------------
% 61.54/9.36  % (775415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.54/9.36  % (775415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.54/9.36  % (775415)CaDiCaL version: 2.1.3
% 61.54/9.36  % (775415)Termination reason: Instruction limit
% 61.54/9.36  % (775415)Termination phase: Saturation
% 61.54/9.36  % (775415)Time elapsed: 1.595 s
% 61.54/9.36  % (775415)Peak memory usage: 17 MB
% 61.54/9.36  % (775415)Instructions burned: 2275 (million)
% 61.54/9.36  % (775455)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=3262337523:i=6901:add=on:slsql=off:rtra=on:ntd=on_2925 on theBenchmark for (2925ds/6901Mi)
% 61.54/9.36  % (775363)Instruction limit reached! 
% 61.54/9.36  % (775363)------------------------------
% 61.54/9.36  % (775363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.54/9.36  % (775363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.54/9.36  % (775363)CaDiCaL version: 2.1.3
% 61.54/9.36  % (775363)Termination reason: Instruction limit
% 61.54/9.36  % (775363)Termination phase: Saturation
% 61.54/9.36  % (775363)Time elapsed: 3.373 s
% 61.54/9.36  % (775363)Peak memory usage: 28 MB
% 61.54/9.36  % (775363)Instructions burned: 6581 (million)
% 64.04/10.02  % (775451)Instruction limit reached! 
% 64.04/10.02  % (775451)------------------------------
% 64.04/10.02  % (775451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775451)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775451)Termination reason: Instruction limit
% 64.04/10.02  % (775451)Termination phase: Saturation
% 64.04/10.02  % (775451)Time elapsed: 0.252 s
% 64.04/10.02  % (775451)Peak memory usage: 12 MB
% 64.04/10.02  % (775451)Instructions burned: 696 (million)
% 64.04/10.02  % (775457)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1048936731:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2924 on theBenchmark for (2924ds/3621Mi)
% 64.04/10.02  % (775458)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=2399851443:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2924 on theBenchmark for (2924ds/1160Mi)
% 64.04/10.02  % (775458)Refutation not found, incomplete strategy
% 64.04/10.02  % (775458)------------------------------
% 64.04/10.02  % (775458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775458)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775458)Termination reason: Refutation not found, incomplete strategy
% 64.04/10.02  % (775458)Time elapsed: 0.002 s
% 64.04/10.02  % (775458)Peak memory usage: 11 MB
% 64.04/10.02  % (775458)Instructions burned: 3 (million)
% 64.04/10.02  % (775458)------------------------------
% 64.04/10.02  % (775458)------------------------------
% 64.04/10.02  % (775461)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=388492793:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2924 on theBenchmark for (2924ds/570Mi)
% 64.04/10.02  % (775453)Instruction limit reached! 
% 64.04/10.02  % (775453)------------------------------
% 64.04/10.02  % (775453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775453)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775453)Termination reason: Instruction limit
% 64.04/10.02  % (775453)Termination phase: Saturation
% 64.04/10.02  % (775453)Time elapsed: 0.448 s
% 64.04/10.02  % (775453)Peak memory usage: 15 MB
% 64.04/10.02  % (775453)Instructions burned: 909 (million)
% 64.04/10.02  % (775463)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=2066904890:i=324:bd=all:ins=4:rtra=on_2922 on theBenchmark for (2922ds/324Mi)
% 64.04/10.02  % (775461)Instruction limit reached! 
% 64.04/10.02  % (775461)------------------------------
% 64.04/10.02  % (775461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775461)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775461)Termination reason: Instruction limit
% 64.04/10.02  % (775461)Termination phase: Saturation
% 64.04/10.02  % (775461)Time elapsed: 0.227 s
% 64.04/10.02  % (775461)Peak memory usage: 13 MB
% 64.04/10.02  % (775461)Instructions burned: 570 (million)
% 64.04/10.02  % (775449)Instruction limit reached! 
% 64.04/10.02  % (775449)------------------------------
% 64.04/10.02  % (775449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775449)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775449)Termination reason: Instruction limit
% 64.04/10.02  % (775449)Termination phase: Saturation
% 64.04/10.02  % (775449)Time elapsed: 0.635 s
% 64.04/10.02  % (775449)Peak memory usage: 13 MB
% 64.04/10.02  % (775449)Instructions burned: 1352 (million)
% 64.04/10.02  % (775465)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=4189714619:s2a=on:i=5712:rtra=on_2921 on theBenchmark for (2921ds/5712Mi)
% 64.04/10.02  % (775466)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 64.04/10.02  % (775466)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 64.04/10.02  % (775466)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=3259144561:i=901:rtra=on:fsd=on_2921 on theBenchmark for (2921ds/901Mi)
% 64.04/10.02  % (775463)Instruction limit reached! 
% 64.04/10.02  % (775463)------------------------------
% 64.04/10.02  % (775463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775463)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775463)Termination reason: Instruction limit
% 64.04/10.02  % (775463)Termination phase: Saturation
% 64.04/10.02  % (775463)Time elapsed: 0.145 s
% 64.04/10.02  % (775463)Peak memory usage: 13 MB
% 64.04/10.02  % (775463)Instructions burned: 325 (million)
% 64.04/10.02  % (775469)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2310013604:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2920 on theBenchmark for (2920ds/2961Mi)
% 64.04/10.02  % (775469)Refutation not found, incomplete strategy
% 64.04/10.02  % (775469)------------------------------
% 64.04/10.02  % (775469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775469)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775469)Termination reason: Refutation not found, incomplete strategy
% 64.04/10.02  % (775469)Time elapsed: 0.001 s
% 64.04/10.02  % (775469)Peak memory usage: 11 MB
% 64.04/10.02  % (775469)------------------------------
% 64.04/10.02  % (775469)------------------------------
% 64.04/10.02  % (775471)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=458625956:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2920 on theBenchmark for (2920ds/3526Mi)
% 64.04/10.02  % (775466)Instruction limit reached! 
% 64.04/10.02  % (775466)------------------------------
% 64.04/10.02  % (775466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775466)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775466)Termination reason: Instruction limit
% 64.04/10.02  % (775466)Termination phase: Saturation
% 64.04/10.02  % (775466)Time elapsed: 0.572 s
% 64.04/10.02  % (775466)Peak memory usage: 12 MB
% 64.04/10.02  % (775466)Instructions burned: 902 (million)
% 64.04/10.02  % (775473)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=3442715317:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2915 on theBenchmark for (2915ds/3368Mi)
% 64.04/10.02  % (775473)Refutation not found, incomplete strategy
% 64.04/10.02  % (775473)------------------------------
% 64.04/10.02  % (775473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775473)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775473)Termination reason: Refutation not found, incomplete strategy
% 64.04/10.02  % (775473)Time elapsed: 0.001 s
% 64.04/10.02  % (775473)Peak memory usage: 12 MB
% 64.04/10.02  % (775473)------------------------------
% 64.04/10.02  % (775473)------------------------------
% 64.04/10.02  % (775475)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=660490929:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2915 on theBenchmark for (2915ds/20626Mi)
% 64.04/10.02  % (775440)Instruction limit reached! 
% 64.04/10.02  % (775440)------------------------------
% 64.04/10.02  % (775440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775440)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775440)Termination reason: Instruction limit
% 64.04/10.02  % (775440)Termination phase: Saturation
% 64.04/10.02  % (775440)Time elapsed: 1.753 s
% 64.04/10.02  % (775440)Peak memory usage: 16 MB
% 64.04/10.02  % (775440)Instructions burned: 4072 (million)
% 64.04/10.02  % (775478)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=4125371541:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2911 on theBenchmark for (2911ds/27154Mi)
% 64.04/10.02  % (775411)Instruction limit reached! 
% 64.04/10.02  % (775411)------------------------------
% 64.04/10.02  % (775411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775411)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775411)Termination reason: Instruction limit
% 64.04/10.02  % (775411)Termination phase: Saturation
% 64.04/10.02  % (775411)Time elapsed: 3.481 s
% 64.04/10.02  % (775411)Peak memory usage: 15 MB
% 64.04/10.02  % (775411)Instructions burned: 17247 (million)
% 64.04/10.02  % (775471)Instruction limit reached! 
% 64.04/10.02  % (775471)------------------------------
% 64.04/10.02  % (775471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775471)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775471)Termination reason: Instruction limit
% 64.04/10.02  % (775471)Termination phase: Saturation
% 64.04/10.02  % (775471)Time elapsed: 1.164 s
% 64.04/10.02  % (775471)Peak memory usage: 14 MB
% 64.04/10.02  % (775471)Instructions burned: 3528 (million)
% 64.04/10.02  % (775480)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3743197361:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2908 on theBenchmark for (2908ds/515Mi)
% 64.04/10.02  % (775480)Refutation not found, incomplete strategy
% 64.04/10.02  % (775480)------------------------------
% 64.04/10.02  % (775480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775480)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775480)Termination reason: Refutation not found, incomplete strategy
% 64.04/10.02  % (775480)Time elapsed: 0.0000 s
% 64.04/10.02  % (775480)Peak memory usage: 12 MB
% 64.04/10.02  % (775480)------------------------------
% 64.04/10.02  % (775480)------------------------------
% 64.04/10.02  % (775483)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
% 64.04/10.02  % (775483)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=676569996:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2908 on theBenchmark for (2908ds/1297Mi)
% 64.04/10.02  % (775481)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1550717228:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2908 on theBenchmark for (2908ds/2653Mi)
% 64.04/10.02  % (775457)Instruction limit reached! 
% 64.04/10.02  % (775457)------------------------------
% 64.04/10.02  % (775457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775457)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775457)Termination reason: Instruction limit
% 64.04/10.02  % (775457)Termination phase: Saturation
% 64.04/10.02  % (775457)Time elapsed: 1.729 s
% 64.04/10.02  % (775457)Peak memory usage: 16 MB
% 64.04/10.02  % (775457)Instructions burned: 3621 (million)
% 64.04/10.02  % (775486)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=4059029340:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2906 on theBenchmark for (2906ds/1950Mi)
% 64.04/10.02  % (775483)Instruction limit reached! 
% 64.04/10.02  % (775483)------------------------------
% 64.04/10.02  % (775483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/10.02  % (775483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/10.02  % (775483)CaDiCaL version: 2.1.3
% 64.04/10.02  % (775483)Termination reason: Instruction limit
% 64.04/10.02  % (775483)Termination phase: Saturation
% 64.04/10.02  % (775483)Time elapsed: 0.267 s
% 64.04/10.02  % (775483)Peak memory usage: 12 MB
% 64.04/10.02  % (775483)Instructions burned: 1302 (million)
% 64.04/10.02  % (775488)dis+1010_1_anc=none:to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=arity:lma=off:urr=on:bce=on:nwc=20:br=off:avsqc=1:random_seed=3666008072:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2905 on theBenchmark for (2905ds/2818Mi)
% 64.04/10.02  % (775475) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-774913-775475"...
% 64.04/10.02  % (775475)...printing done.
% 64.04/10.02  % (775475)Refutation found. Thanks to Tanya!
% 64.04/10.02  % SZS status Unsatisfiable for theBenchmark
% 64.04/10.02  % SZS output start Proof for theBenchmark
% See solution above
% 66.40/10.04  % (775475)------------------------------
% 66.40/10.04  % (775475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.40/10.04  % (775475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.40/10.04  % (775475)CaDiCaL version: 2.1.3
% 66.40/10.04  % (775475)Termination reason: Refutation
% 66.40/10.04  % (775475)Time elapsed: 1.306 s
% 66.40/10.04  % (775475)Peak memory usage: 17 MB
% 66.40/10.04  % (775475)Instructions burned: 2345 (million)
% 66.40/10.04  % (774913)Success in time 9.805 s
% 66.40/10.04  % Vampire exiting
%------------------------------------------------------------------------------