TSTP Solution File: LCL384-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL384-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:48:07 EDT 2022

% Result   : Unsatisfiable 28.04s 3.95s
% Output   : Refutation 28.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :  103
% Syntax   : Number of formulae    :  679 (  68 unt;   0 def)
%            Number of atoms       : 1647 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives : 1820 ( 852   ~; 870   |;   0   &)
%                                         (  98 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :  100 (  99 usr;  99 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  951 ( 951   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12238,plain,
    $false,
    inference(avatar_smt_refutation,[],[f10,f22,f26,f64,f126,f132,f146,f170,f200,f222,f229,f502,f503,f521,f522,f602,f603,f604,f605,f606,f607,f1008,f1012,f1016,f1020,f1021,f1224,f1233,f1238,f1362,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1566,f1570,f1574,f1575,f1576,f1577,f1647,f1976,f1984,f1987,f2007,f2012,f2127,f2131,f2246,f2354,f2946,f2947,f3239,f3244,f3245,f3246,f3250,f3294,f3295,f3296,f3297,f3834,f3835,f3864,f3865,f3910,f3911,f3912,f3913,f4079,f4141,f4142,f4237,f4238,f4338,f4339,f4340,f4341,f4465,f4466,f4516,f4517,f4518,f4519,f4679,f4680,f4796,f4797,f4923,f5095,f5096,f5100,f5101,f5102,f5103,f5164,f5168,f5244,f5245,f5310,f5311,f5312,f5342,f5343,f5347,f5527,f5528,f5529,f5530,f5841,f5842,f5843,f5920,f5921,f5972,f5973,f5974,f5975,f6453,f6454,f6455,f6456,f6607,f6608,f6609,f6610,f6694,f6698,f6699,f6700,f6701,f6702,f7296,f7297,f7298,f7299,f7570,f7575,f7580,f7831,f7832,f7968,f7969,f7973,f7974,f7975,f7976,f8363,f8367,f8368,f8369,f8370,f8371,f8906,f8911,f9613,f9614,f9670,f9940,f9941,f9942,f10118,f10119,f10120,f10188,f10256,f10261,f10266,f10271,f10276,f10281,f10545,f10546,f10547,f10580,f10581,f11264,f11265,f11266,f11267,f11268,f11465,f11466,f11467,f12237]) ).

fof(f12237,plain,
    ( spl0_8
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f12200]) ).

fof(f12200,plain,
    ( $false
    | spl0_8
    | ~ spl0_38 ),
    inference(resolution,[],[f8968,f169]) ).

fof(f169,plain,
    ( ~ is_a_theorem(implies(implies(not(z),y),implies(implies(y,z),z)))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f167,plain,
    ( spl0_8
  <=> is_a_theorem(implies(implies(not(z),y),implies(implies(y,z),z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f8968,plain,
    ( ! [X28] : is_a_theorem(implies(implies(not(z),X28),implies(implies(X28,z),z)))
    | ~ spl0_38 ),
    inference(resolution,[],[f5836,f29]) ).

fof(f29,plain,
    ! [X2,X3,X4,X5] :
      ( ~ is_a_theorem(implies(implies(implies(X3,X5),implies(X2,X5)),X4))
      | is_a_theorem(implies(implies(X2,X3),X4)) ),
    inference(resolution,[],[f27,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f13,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f13,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f2,f1]) ).

fof(f5836,plain,
    ( ! [X118] : is_a_theorem(implies(implies(X118,implies(not(z),z)),implies(X118,z)))
    | ~ spl0_38 ),
    inference(resolution,[],[f5724,f79]) ).

fof(f79,plain,
    ! [X6,X7,X5] :
      ( ~ is_a_theorem(implies(not(implies(X5,X6)),implies(X7,X6)))
      | is_a_theorem(implies(implies(X5,X7),implies(X5,X6))) ),
    inference(resolution,[],[f47,f29]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X1,X0),X0))
      | ~ is_a_theorem(implies(not(X0),X1)) ),
    inference(resolution,[],[f30,f3]) ).

fof(f3,axiom,
    ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).

fof(f30,plain,
    ! [X8,X6,X9,X7] :
      ( ~ is_a_theorem(implies(implies(X9,X7),X8))
      | ~ is_a_theorem(implies(X9,X6))
      | is_a_theorem(implies(implies(X6,X7),X8)) ),
    inference(resolution,[],[f27,f13]) ).

fof(f5724,plain,
    ( ! [X36] : is_a_theorem(implies(X36,implies(implies(not(z),z),z)))
    | ~ spl0_38 ),
    inference(resolution,[],[f5249,f634]) ).

fof(f634,plain,
    ! [X51,X52] : is_a_theorem(implies(implies(X51,X52),implies(implies(not(X51),X51),X52))),
    inference(resolution,[],[f177,f35]) ).

fof(f35,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[],[f31,f3]) ).

fof(f31,plain,
    ! [X10,X11,X12] :
      ( ~ is_a_theorem(implies(implies(not(X10),X12),X11))
      | is_a_theorem(implies(X10,X11)) ),
    inference(resolution,[],[f27,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

fof(f177,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
      | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(resolution,[],[f49,f3]) ).

fof(f49,plain,
    ! [X8,X6,X9,X7] :
      ( ~ is_a_theorem(implies(X6,X7))
      | ~ is_a_theorem(implies(X9,X6))
      | is_a_theorem(implies(implies(X7,X8),implies(X9,X8))) ),
    inference(resolution,[],[f30,f13]) ).

fof(f5249,plain,
    ( ! [X8,X7] :
        ( ~ is_a_theorem(implies(implies(z,z),X8))
        | is_a_theorem(implies(X7,X8)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f2130,f27]) ).

fof(f2130,plain,
    ( ! [X7] : is_a_theorem(implies(X7,implies(z,z)))
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f2129]) ).

fof(f2129,plain,
    ( spl0_38
  <=> ! [X7] : is_a_theorem(implies(X7,implies(z,z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f11467,plain,
    ( spl0_98
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f11435,f2129,f11463]) ).

fof(f11463,plain,
    ( spl0_98
  <=> ! [X116,X117,X115] : is_a_theorem(implies(not(implies(X115,implies(z,implies(X116,z)))),X117)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f11435,plain,
    ( ! [X160,X161,X159] : is_a_theorem(implies(not(implies(X159,implies(z,implies(X160,z)))),X161))
    | ~ spl0_38 ),
    inference(resolution,[],[f11207,f538]) ).

fof(f538,plain,
    ! [X73,X76,X77,X74,X75] :
      ( ~ is_a_theorem(implies(implies(not(implies(not(X73),X76)),X77),X74))
      | is_a_theorem(implies(not(implies(X73,X74)),X75)) ),
    inference(resolution,[],[f152,f39]) ).

fof(f39,plain,
    ! [X10,X11,X9] : is_a_theorem(implies(X9,implies(not(implies(not(X9),X10)),X11))),
    inference(resolution,[],[f31,f4]) ).

fof(f152,plain,
    ! [X26,X27,X24,X25] :
      ( ~ is_a_theorem(implies(X24,X25))
      | is_a_theorem(implies(not(implies(X24,X26)),X27))
      | ~ is_a_theorem(implies(X25,X26)) ),
    inference(resolution,[],[f51,f1]) ).

fof(f51,plain,
    ! [X16,X14,X15,X13] :
      ( is_a_theorem(implies(implies(X14,X15),implies(not(implies(X13,X15)),X16)))
      | ~ is_a_theorem(implies(X13,X14)) ),
    inference(resolution,[],[f30,f4]) ).

fof(f11207,plain,
    ( ! [X21,X20] : is_a_theorem(implies(X20,implies(z,implies(X21,z))))
    | ~ spl0_38 ),
    inference(resolution,[],[f11167,f266]) ).

fof(f266,plain,
    ! [X41,X42,X43] :
      ( ~ is_a_theorem(implies(not(X42),not(implies(not(X41),X43))))
      | is_a_theorem(implies(X41,X42)) ),
    inference(resolution,[],[f56,f47]) ).

fof(f56,plain,
    ! [X16,X14,X17,X15] :
      ( ~ is_a_theorem(implies(implies(not(implies(not(X14),X16)),X17),X15))
      | is_a_theorem(implies(X14,X15)) ),
    inference(resolution,[],[f39,f27]) ).

fof(f11167,plain,
    ( ! [X8,X9] : is_a_theorem(implies(not(implies(z,implies(X8,z))),X9))
    | ~ spl0_38 ),
    inference(resolution,[],[f10767,f537]) ).

fof(f537,plain,
    ! [X72,X70,X71,X69] :
      ( ~ is_a_theorem(implies(implies(not(X69),X72),X70))
      | is_a_theorem(implies(not(implies(X69,X70)),X71)) ),
    inference(resolution,[],[f152,f4]) ).

fof(f10767,plain,
    ( ! [X21] : is_a_theorem(implies(implies(not(z),z),implies(X21,z)))
    | ~ spl0_38 ),
    inference(resolution,[],[f8962,f747]) ).

fof(f747,plain,
    ! [X88,X86,X89,X87] :
      ( ~ is_a_theorem(implies(X86,implies(implies(not(X87),X88),X89)))
      | is_a_theorem(implies(X86,implies(X87,X89))) ),
    inference(resolution,[],[f165,f4]) ).

fof(f165,plain,
    ! [X26,X27,X24,X25] :
      ( ~ is_a_theorem(implies(X27,X25))
      | ~ is_a_theorem(implies(X24,implies(X25,X26)))
      | is_a_theorem(implies(X24,implies(X27,X26))) ),
    inference(resolution,[],[f41,f1]) ).

fof(f41,plain,
    ! [X6,X7,X4,X5] :
      ( is_a_theorem(implies(implies(X4,X5),implies(X6,implies(X4,X7))))
      | ~ is_a_theorem(implies(X6,implies(X5,X7))) ),
    inference(resolution,[],[f29,f13]) ).

fof(f8962,plain,
    ( ! [X20] : is_a_theorem(implies(implies(not(z),z),implies(implies(X20,z),z)))
    | ~ spl0_38 ),
    inference(resolution,[],[f5836,f101]) ).

fof(f101,plain,
    ! [X28,X29,X27,X30] :
      ( ~ is_a_theorem(implies(implies(implies(X27,X28),implies(not(X29),X28)),X30))
      | is_a_theorem(implies(implies(not(X29),X29),X30)) ),
    inference(resolution,[],[f33,f36]) ).

fof(f36,plain,
    ! [X2,X3,X1] : is_a_theorem(implies(X1,implies(implies(X2,X3),implies(not(X1),X3)))),
    inference(resolution,[],[f31,f2]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(X1,X2))
      | is_a_theorem(implies(implies(not(X0),X0),X2)) ),
    inference(resolution,[],[f28,f27]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(not(X0),X0),X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f27,f3]) ).

fof(f11466,plain,
    ( spl0_98
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f11417,f2129,f11463]) ).

fof(f11417,plain,
    ( ! [X113,X111,X112] : is_a_theorem(implies(not(implies(X111,implies(z,implies(X112,z)))),X113))
    | ~ spl0_38 ),
    inference(resolution,[],[f11207,f537]) ).

fof(f11465,plain,
    ( spl0_98
    | spl0_15
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f11418,f2129,f597,f11463]) ).

fof(f597,plain,
    ( spl0_15
  <=> ! [X73] : ~ is_a_theorem(X73) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f11418,plain,
    ( ! [X116,X117,X114,X115] :
        ( ~ is_a_theorem(X114)
        | is_a_theorem(implies(not(implies(X115,implies(z,implies(X116,z)))),X117)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f11207,f541]) ).

fof(f541,plain,
    ! [X90,X91,X94,X92,X93] :
      ( ~ is_a_theorem(implies(implies(not(X93),X94),X91))
      | ~ is_a_theorem(X93)
      | is_a_theorem(implies(not(implies(X90,X91)),X92)) ),
    inference(resolution,[],[f152,f75]) ).

fof(f75,plain,
    ! [X8,X9,X7] :
      ( is_a_theorem(implies(X7,implies(not(X8),X9)))
      | ~ is_a_theorem(X8) ),
    inference(resolution,[],[f37,f12]) ).

fof(f12,plain,
    ! [X2,X1] :
      ( is_a_theorem(implies(not(X1),X2))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f1,f4]) ).

fof(f37,plain,
    ! [X6,X4,X5] :
      ( ~ is_a_theorem(implies(X5,not(X4)))
      | is_a_theorem(implies(X4,implies(X5,X6))) ),
    inference(resolution,[],[f31,f13]) ).

fof(f11268,plain,
    ( spl0_97
    | ~ spl0_38
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f11258,f7294,f2129,f11262]) ).

fof(f11262,plain,
    ( spl0_97
  <=> ! [X172] : ~ is_a_theorem(not(implies(z,implies(X172,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f7294,plain,
    ( spl0_73
  <=> ! [X117] :
        ( ~ is_a_theorem(X117)
        | ~ is_a_theorem(implies(X117,not(implies(z,z)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f11258,plain,
    ( ! [X196] : ~ is_a_theorem(not(implies(z,implies(X196,z))))
    | ~ spl0_38
    | ~ spl0_73 ),
    inference(resolution,[],[f11167,f7295]) ).

fof(f7295,plain,
    ( ! [X117] :
        ( ~ is_a_theorem(implies(X117,not(implies(z,z))))
        | ~ is_a_theorem(X117) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f7294]) ).

fof(f11267,plain,
    ( spl0_97
    | spl0_2
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f11215,f2129,f17,f11262]) ).

fof(f17,plain,
    ( spl0_2
  <=> ! [X2] : is_a_theorem(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f11215,plain,
    ( ! [X41,X42] :
        ( is_a_theorem(X42)
        | ~ is_a_theorem(not(implies(z,implies(X41,z)))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f11167,f1]) ).

fof(f11266,plain,
    ( spl0_12
    | spl0_97
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f11221,f2129,f11262,f497]) ).

fof(f497,plain,
    ( spl0_12
  <=> ! [X46,X47] : is_a_theorem(implies(X46,X47)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f11221,plain,
    ( ! [X58,X59,X60] :
        ( ~ is_a_theorem(not(implies(z,implies(X60,z))))
        | is_a_theorem(implies(X58,X59)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f11167,f116]) ).

fof(f116,plain,
    ! [X14,X12,X13] :
      ( ~ is_a_theorem(implies(X12,X14))
      | is_a_theorem(implies(X13,X14))
      | ~ is_a_theorem(X12) ),
    inference(resolution,[],[f90,f27]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f77,f12]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),not(X1)))
      | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[],[f47,f31]) ).

fof(f11265,plain,
    ( spl0_97
    | spl0_44
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f11230,f2129,f3248,f11262]) ).

fof(f3248,plain,
    ( spl0_44
  <=> ! [X60,X59] : is_a_theorem(implies(implies(X59,X60),X60)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f11230,plain,
    ( ! [X101,X102,X100] :
        ( is_a_theorem(implies(implies(X100,X101),X101))
        | ~ is_a_theorem(not(implies(z,implies(X102,z)))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f11167,f436]) ).

fof(f436,plain,
    ! [X44,X42,X43] :
      ( ~ is_a_theorem(implies(X44,X42))
      | is_a_theorem(implies(implies(X42,X43),X43))
      | ~ is_a_theorem(X44) ),
    inference(resolution,[],[f78,f90]) ).

fof(f78,plain,
    ! [X2,X3,X4] :
      ( ~ is_a_theorem(implies(not(X2),X3))
      | is_a_theorem(implies(implies(X4,X2),X2))
      | ~ is_a_theorem(implies(X3,X4)) ),
    inference(resolution,[],[f47,f30]) ).

fof(f11264,plain,
    ( spl0_97
    | spl0_15
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f11250,f2129,f1010,f597,f11262]) ).

fof(f1010,plain,
    ( spl0_18
  <=> ! [X44,X43] :
        ( ~ is_a_theorem(X44)
        | ~ is_a_theorem(X43)
        | ~ is_a_theorem(implies(X43,not(X44))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f11250,plain,
    ( ! [X172,X173] :
        ( ~ is_a_theorem(X173)
        | ~ is_a_theorem(not(implies(z,implies(X172,z)))) )
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(resolution,[],[f11167,f1011]) ).

fof(f1011,plain,
    ( ! [X44,X43] :
        ( ~ is_a_theorem(implies(X43,not(X44)))
        | ~ is_a_theorem(X43)
        | ~ is_a_theorem(X44) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f10581,plain,
    ( ~ spl0_96
    | spl0_64
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f10566,f10263,f5345,f10577]) ).

fof(f10577,plain,
    ( spl0_96
  <=> is_a_theorem(implies(not(z),not(implies(z,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f5345,plain,
    ( spl0_64
  <=> ! [X12] : is_a_theorem(implies(X12,z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f10263,plain,
    ( spl0_91
  <=> is_a_theorem(implies(implies(not(z),not(implies(z,z))),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f10566,plain,
    ( ! [X15] :
        ( is_a_theorem(implies(X15,z))
        | ~ is_a_theorem(implies(not(z),not(implies(z,z)))) )
    | ~ spl0_91 ),
    inference(resolution,[],[f10265,f116]) ).

fof(f10265,plain,
    ( is_a_theorem(implies(implies(not(z),not(implies(z,z))),z))
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f10263]) ).

fof(f10580,plain,
    ( ~ spl0_96
    | spl0_63
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f10575,f10263,f5340,f10577]) ).

fof(f5340,plain,
    ( spl0_63
  <=> ! [X34] : is_a_theorem(implies(implies(z,X34),X34)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f10575,plain,
    ( ! [X40] :
        ( is_a_theorem(implies(implies(z,X40),X40))
        | ~ is_a_theorem(implies(not(z),not(implies(z,z)))) )
    | ~ spl0_91 ),
    inference(resolution,[],[f10265,f436]) ).

fof(f10547,plain,
    ( spl0_95
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f10502,f2129,f10543]) ).

fof(f10543,plain,
    ( spl0_95
  <=> ! [X18,X16,X17] :
        ( ~ is_a_theorem(not(implies(not(not(X17)),X18)))
        | ~ is_a_theorem(implies(X17,X16))
        | is_a_theorem(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f10502,plain,
    ( ! [X14,X15,X13] :
        ( ~ is_a_theorem(implies(X14,X13))
        | is_a_theorem(X13)
        | ~ is_a_theorem(not(implies(not(not(X14)),X15))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f947,f5451]) ).

fof(f5451,plain,
    ( ! [X68,X67] :
        ( is_a_theorem(implies(implies(X67,not(implies(z,z))),X68))
        | ~ is_a_theorem(X67) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5306,f447]) ).

fof(f447,plain,
    ! [X40,X38,X39] :
      ( is_a_theorem(implies(X38,implies(implies(X39,not(X38)),X40)))
      | ~ is_a_theorem(X39) ),
    inference(resolution,[],[f82,f90]) ).

fof(f82,plain,
    ! [X14,X15,X13] :
      ( ~ is_a_theorem(implies(not(not(X13)),X14))
      | is_a_theorem(implies(X13,implies(implies(X14,not(X13)),X15))) ),
    inference(resolution,[],[f47,f37]) ).

fof(f5306,plain,
    ( ! [X114] :
        ( ~ is_a_theorem(implies(implies(z,z),X114))
        | is_a_theorem(X114) )
    | ~ spl0_38 ),
    inference(resolution,[],[f2130,f81]) ).

fof(f81,plain,
    ! [X11,X12] :
      ( ~ is_a_theorem(implies(not(X11),X12))
      | ~ is_a_theorem(implies(X12,X11))
      | is_a_theorem(X11) ),
    inference(resolution,[],[f47,f1]) ).

fof(f947,plain,
    ! [X14,X15,X12,X13] :
      ( ~ is_a_theorem(implies(implies(not(implies(not(not(X12)),X14)),X15),X12))
      | is_a_theorem(X13)
      | ~ is_a_theorem(implies(X12,X13)) ),
    inference(resolution,[],[f136,f1]) ).

fof(f136,plain,
    ! [X10,X11,X12,X13] :
      ( is_a_theorem(implies(implies(implies(not(implies(not(not(X10)),X12)),X13),X10),X11))
      | ~ is_a_theorem(implies(X10,X11)) ),
    inference(resolution,[],[f50,f39]) ).

fof(f50,plain,
    ! [X10,X11,X12] :
      ( ~ is_a_theorem(implies(not(X10),X11))
      | ~ is_a_theorem(implies(X10,X12))
      | is_a_theorem(implies(implies(X11,X10),X12)) ),
    inference(resolution,[],[f30,f28]) ).

fof(f10546,plain,
    ( spl0_95
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f10500,f1568,f10543]) ).

fof(f1568,plain,
    ( spl0_28
  <=> ! [X217,X218] :
        ( is_a_theorem(implies(implies(X217,X218),X218))
        | ~ is_a_theorem(X217) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f10500,plain,
    ( ! [X8,X9,X7] :
        ( ~ is_a_theorem(not(implies(not(not(X8)),X9)))
        | is_a_theorem(X7)
        | ~ is_a_theorem(implies(X8,X7)) )
    | ~ spl0_28 ),
    inference(resolution,[],[f947,f1569]) ).

fof(f1569,plain,
    ( ! [X218,X217] :
        ( is_a_theorem(implies(implies(X217,X218),X218))
        | ~ is_a_theorem(X217) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f1568]) ).

fof(f10545,plain,
    ( spl0_15
    | spl0_95 ),
    inference(avatar_split_clause,[],[f10503,f10543,f597]) ).

fof(f10503,plain,
    ! [X18,X19,X16,X17] :
      ( ~ is_a_theorem(not(implies(not(not(X17)),X18)))
      | ~ is_a_theorem(X19)
      | is_a_theorem(X16)
      | ~ is_a_theorem(implies(X17,X16)) ),
    inference(resolution,[],[f947,f829]) ).

fof(f829,plain,
    ! [X6,X4,X5] :
      ( is_a_theorem(implies(implies(X4,not(X5)),X6))
      | ~ is_a_theorem(X4)
      | ~ is_a_theorem(X5) ),
    inference(resolution,[],[f447,f1]) ).

fof(f10281,plain,
    ( spl0_94
    | ~ spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f10215,f2129,f2125,f10278]) ).

fof(f10278,plain,
    ( spl0_94
  <=> is_a_theorem(implies(implies(implies(z,z),implies(not(z),z)),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f2125,plain,
    ( spl0_37
  <=> ! [X15] : is_a_theorem(implies(implies(implies(z,z),X15),X15)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f10215,plain,
    ( is_a_theorem(implies(implies(implies(z,z),implies(not(z),z)),z))
    | ~ spl0_37
    | ~ spl0_38 ),
    inference(resolution,[],[f8841,f2126]) ).

fof(f2126,plain,
    ( ! [X15] : is_a_theorem(implies(implies(implies(z,z),X15),X15))
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f2125]) ).

fof(f8841,plain,
    ( ! [X29] :
        ( ~ is_a_theorem(implies(X29,implies(not(z),z)))
        | is_a_theorem(implies(X29,z)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5829,f13]) ).

fof(f5829,plain,
    ( ! [X107] :
        ( ~ is_a_theorem(implies(implies(implies(not(z),z),z),X107))
        | is_a_theorem(X107) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5724,f34]) ).

fof(f34,plain,
    ! [X3,X4] :
      ( ~ is_a_theorem(implies(not(X3),X3))
      | ~ is_a_theorem(implies(X3,X4))
      | is_a_theorem(X4) ),
    inference(resolution,[],[f28,f1]) ).

fof(f10276,plain,
    ( spl0_93
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f10198,f2129,f10273]) ).

fof(f10273,plain,
    ( spl0_93
  <=> is_a_theorem(implies(implies(not(z),not(not(implies(not(z),z)))),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f10198,plain,
    ( is_a_theorem(implies(implies(not(z),not(not(implies(not(z),z)))),z))
    | ~ spl0_38 ),
    inference(resolution,[],[f8841,f795]) ).

fof(f795,plain,
    ! [X10,X11] : is_a_theorem(implies(implies(X10,not(not(implies(X10,X11)))),implies(X10,X11))),
    inference(resolution,[],[f79,f4]) ).

fof(f10271,plain,
    ( spl0_92
    | ~ spl0_34
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f10214,f2129,f2004,f10268]) ).

fof(f10268,plain,
    ( spl0_92
  <=> is_a_theorem(implies(implies(implies(z,implies(z,z)),implies(not(z),z)),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f2004,plain,
    ( spl0_34
  <=> is_a_theorem(implies(z,implies(z,z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f10214,plain,
    ( is_a_theorem(implies(implies(implies(z,implies(z,z)),implies(not(z),z)),z))
    | ~ spl0_34
    | ~ spl0_38 ),
    inference(resolution,[],[f8841,f3134]) ).

fof(f3134,plain,
    ( ! [X82] : is_a_theorem(implies(implies(implies(z,implies(z,z)),X82),X82))
    | ~ spl0_34 ),
    inference(resolution,[],[f2990,f1509]) ).

fof(f1509,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),X0))
      | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(resolution,[],[f436,f3]) ).

fof(f2990,plain,
    ( ! [X131] : is_a_theorem(implies(X131,implies(z,implies(z,z))))
    | ~ spl0_34 ),
    inference(resolution,[],[f2323,f35]) ).

fof(f2323,plain,
    ( ! [X21,X20] :
        ( ~ is_a_theorem(implies(implies(z,z),X21))
        | is_a_theorem(implies(X20,implies(z,X21))) )
    | ~ spl0_34 ),
    inference(resolution,[],[f2248,f116]) ).

fof(f2248,plain,
    ( ! [X2] : is_a_theorem(implies(implies(implies(z,z),X2),implies(z,X2)))
    | ~ spl0_34 ),
    inference(resolution,[],[f2224,f177]) ).

fof(f2224,plain,
    ( ! [X48] : is_a_theorem(implies(z,implies(not(implies(z,z)),X48)))
    | ~ spl0_34 ),
    inference(resolution,[],[f2096,f4]) ).

fof(f2096,plain,
    ( ! [X1] :
        ( ~ is_a_theorem(implies(implies(z,z),X1))
        | is_a_theorem(implies(z,X1)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f2006,f27]) ).

fof(f2006,plain,
    ( is_a_theorem(implies(z,implies(z,z)))
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f2004]) ).

fof(f10266,plain,
    ( spl0_91
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f10200,f2129,f600,f10263]) ).

fof(f600,plain,
    ( spl0_16
  <=> ! [X70,X72,X71] : is_a_theorem(implies(X70,implies(X71,implies(not(X70),X72)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f10200,plain,
    ( is_a_theorem(implies(implies(not(z),not(implies(z,z))),z))
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f8841,f5708]) ).

fof(f5708,plain,
    ( ! [X186,X185] : is_a_theorem(implies(implies(X185,not(implies(z,z))),implies(X185,X186)))
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f5445,f79]) ).

fof(f5445,plain,
    ( ! [X52,X53] : is_a_theorem(implies(X52,implies(not(implies(z,z)),X53)))
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f5306,f601]) ).

fof(f601,plain,
    ( ! [X72,X70,X71] : is_a_theorem(implies(X70,implies(X71,implies(not(X70),X72))))
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f10261,plain,
    ( spl0_90
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f10216,f5839,f2129,f10258]) ).

fof(f10258,plain,
    ( spl0_90
  <=> is_a_theorem(implies(implies(implies(implies(not(z),z),z),implies(not(z),z)),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f5839,plain,
    ( spl0_66
  <=> ! [X47] : is_a_theorem(implies(implies(implies(implies(not(z),z),z),X47),X47)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f10216,plain,
    ( is_a_theorem(implies(implies(implies(implies(not(z),z),z),implies(not(z),z)),z))
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(resolution,[],[f8841,f5840]) ).

fof(f5840,plain,
    ( ! [X47] : is_a_theorem(implies(implies(implies(implies(not(z),z),z),X47),X47))
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f5839]) ).

fof(f10256,plain,
    ( spl0_89
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f10196,f2129,f10253]) ).

fof(f10253,plain,
    ( spl0_89
  <=> is_a_theorem(implies(implies(not(z),implies(not(z),z)),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f10196,plain,
    ( is_a_theorem(implies(implies(not(z),implies(not(z),z)),z))
    | ~ spl0_38 ),
    inference(resolution,[],[f8841,f5836]) ).

fof(f10188,plain,
    ( spl0_88
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f10128,f2129,f10185]) ).

fof(f10185,plain,
    ( spl0_88
  <=> is_a_theorem(implies(implies(not(implies(not(implies(not(z),z)),implies(not(z),z))),implies(not(implies(not(z),z)),implies(not(z),z))),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f10128,plain,
    ( is_a_theorem(implies(implies(not(implies(not(implies(not(z),z)),implies(not(z),z))),implies(not(implies(not(z),z)),implies(not(z),z))),z))
    | ~ spl0_38 ),
    inference(resolution,[],[f624,f5829]) ).

fof(f624,plain,
    ! [X21,X20] : is_a_theorem(implies(implies(X20,X21),implies(implies(not(implies(not(X20),X20)),implies(not(X20),X20)),X21))),
    inference(resolution,[],[f177,f3]) ).

fof(f10120,plain,
    ( spl0_87
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f10016,f1568,f10116]) ).

fof(f10116,plain,
    ( spl0_87
  <=> ! [X28,X27,X25,X26] :
        ( ~ is_a_theorem(not(implies(not(X25),X28)))
        | is_a_theorem(implies(not(implies(X25,X26)),X27)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f10016,plain,
    ( ! [X16,X14,X15,X13] :
        ( is_a_theorem(implies(not(implies(X13,X14)),X15))
        | ~ is_a_theorem(not(implies(not(X13),X16))) )
    | ~ spl0_28 ),
    inference(resolution,[],[f538,f1569]) ).

fof(f10119,plain,
    ( spl0_87
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f10018,f2129,f10116]) ).

fof(f10018,plain,
    ( ! [X21,X24,X22,X23] :
        ( ~ is_a_theorem(not(implies(not(X21),X24)))
        | is_a_theorem(implies(not(implies(X21,X22)),X23)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f538,f5451]) ).

fof(f10118,plain,
    ( spl0_87
    | spl0_15 ),
    inference(avatar_split_clause,[],[f10019,f597,f10116]) ).

fof(f10019,plain,
    ! [X28,X29,X26,X27,X25] :
      ( ~ is_a_theorem(X29)
      | ~ is_a_theorem(not(implies(not(X25),X28)))
      | is_a_theorem(implies(not(implies(X25,X26)),X27)) ),
    inference(resolution,[],[f538,f829]) ).

fof(f9942,plain,
    ( spl0_86
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f9841,f2129,f9938]) ).

fof(f9938,plain,
    ( spl0_86
  <=> ! [X20,X18,X19] :
        ( is_a_theorem(implies(implies(X18,X19),X19))
        | ~ is_a_theorem(not(implies(not(not(X19)),X20))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f9841,plain,
    ( ! [X16,X17,X15] :
        ( ~ is_a_theorem(not(implies(not(not(X16)),X17)))
        | is_a_theorem(implies(implies(X15,X16),X16)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f428,f5451]) ).

fof(f428,plain,
    ! [X10,X11,X12,X13] :
      ( ~ is_a_theorem(implies(implies(not(implies(not(not(X11)),X12)),X13),X10))
      | is_a_theorem(implies(implies(X10,X11),X11)) ),
    inference(resolution,[],[f78,f39]) ).

fof(f9941,plain,
    ( spl0_86
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f9839,f1568,f9938]) ).

fof(f9839,plain,
    ( ! [X10,X11,X9] :
        ( is_a_theorem(implies(implies(X9,X10),X10))
        | ~ is_a_theorem(not(implies(not(not(X10)),X11))) )
    | ~ spl0_28 ),
    inference(resolution,[],[f428,f1569]) ).

fof(f9940,plain,
    ( spl0_86
    | spl0_15 ),
    inference(avatar_split_clause,[],[f9842,f597,f9938]) ).

fof(f9842,plain,
    ! [X21,X18,X19,X20] :
      ( ~ is_a_theorem(X21)
      | is_a_theorem(implies(implies(X18,X19),X19))
      | ~ is_a_theorem(not(implies(not(not(X19)),X20))) ),
    inference(resolution,[],[f428,f829]) ).

fof(f9670,plain,
    ( ~ spl0_85
    | ~ spl0_66
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f9663,f7294,f5839,f9667]) ).

fof(f9667,plain,
    ( spl0_85
  <=> is_a_theorem(implies(implies(implies(not(z),z),z),not(implies(z,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f9663,plain,
    ( ~ is_a_theorem(implies(implies(implies(not(z),z),z),not(implies(z,z))))
    | ~ spl0_66
    | ~ spl0_73 ),
    inference(resolution,[],[f5840,f7295]) ).

fof(f9614,plain,
    ( spl0_84
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f9569,f2129,f9611]) ).

fof(f9611,plain,
    ( spl0_84
  <=> ! [X150,X153,X152,X151] : is_a_theorem(implies(not(implies(X150,implies(z,implies(implies(X151,X152),z)))),X153)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f9569,plain,
    ( ! [X145,X148,X146,X147] : is_a_theorem(implies(not(implies(X145,implies(z,implies(implies(X146,X147),z)))),X148))
    | ~ spl0_38 ),
    inference(resolution,[],[f9498,f537]) ).

fof(f9498,plain,
    ( ! [X54,X55,X53] : is_a_theorem(implies(X53,implies(z,implies(implies(X54,X55),z))))
    | ~ spl0_38 ),
    inference(resolution,[],[f9440,f70]) ).

fof(f70,plain,
    ! [X16,X14,X17,X15] :
      ( ~ is_a_theorem(implies(implies(implies(X16,X17),implies(not(X14),X17)),X15))
      | is_a_theorem(implies(X14,X15)) ),
    inference(resolution,[],[f36,f27]) ).

fof(f9440,plain,
    ( ! [X16,X17] : is_a_theorem(implies(implies(X16,X17),implies(z,implies(X16,z))))
    | ~ spl0_38 ),
    inference(resolution,[],[f9274,f29]) ).

fof(f9274,plain,
    ( ! [X10,X11] : is_a_theorem(implies(implies(implies(X10,z),X11),implies(z,X11)))
    | ~ spl0_38 ),
    inference(resolution,[],[f9177,f177]) ).

fof(f9177,plain,
    ( ! [X14,X15] : is_a_theorem(implies(z,implies(X14,implies(X15,z))))
    | ~ spl0_38 ),
    inference(resolution,[],[f9066,f6463]) ).

fof(f6463,plain,
    ( ! [X16,X15] : is_a_theorem(implies(implies(X15,z),implies(X16,implies(X15,z))))
    | ~ spl0_38 ),
    inference(resolution,[],[f5534,f29]) ).

fof(f5534,plain,
    ( ! [X10,X11] : is_a_theorem(implies(implies(implies(z,z),X10),implies(X11,X10)))
    | ~ spl0_38 ),
    inference(resolution,[],[f5487,f177]) ).

fof(f5487,plain,
    ( ! [X18,X19] : is_a_theorem(implies(X18,implies(X19,implies(z,z))))
    | ~ spl0_38 ),
    inference(resolution,[],[f5273,f266]) ).

fof(f5273,plain,
    ( ! [X54,X53] : is_a_theorem(implies(not(implies(X53,implies(z,z))),X54))
    | ~ spl0_38 ),
    inference(resolution,[],[f2130,f537]) ).

fof(f9066,plain,
    ( ! [X10,X11] :
        ( ~ is_a_theorem(implies(implies(X11,z),X10))
        | is_a_theorem(implies(z,X10)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f8999,f27]) ).

fof(f8999,plain,
    ( ! [X0] : is_a_theorem(implies(z,implies(X0,z)))
    | ~ spl0_38 ),
    inference(resolution,[],[f8963,f747]) ).

fof(f8963,plain,
    ( ! [X21] : is_a_theorem(implies(z,implies(implies(X21,z),z)))
    | ~ spl0_38 ),
    inference(resolution,[],[f5836,f70]) ).

fof(f9613,plain,
    ( spl0_15
    | spl0_84
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f9570,f2129,f9611,f597]) ).

fof(f9570,plain,
    ( ! [X152,X150,X153,X151,X149] :
        ( is_a_theorem(implies(not(implies(X150,implies(z,implies(implies(X151,X152),z)))),X153))
        | ~ is_a_theorem(X149) )
    | ~ spl0_38 ),
    inference(resolution,[],[f9498,f541]) ).

fof(f8911,plain,
    ( spl0_83
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f8839,f2129,f8908]) ).

fof(f8908,plain,
    ( spl0_83
  <=> is_a_theorem(implies(implies(not(implies(not(z),z)),implies(not(z),z)),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f8839,plain,
    ( is_a_theorem(implies(implies(not(implies(not(z),z)),implies(not(z),z)),z))
    | ~ spl0_38 ),
    inference(resolution,[],[f5829,f634]) ).

fof(f8906,plain,
    ( spl0_7
    | ~ spl0_82
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f8819,f2129,f8903,f143]) ).

fof(f143,plain,
    ( spl0_7
  <=> is_a_theorem(z) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f8903,plain,
    ( spl0_82
  <=> is_a_theorem(implies(not(z),implies(not(z),z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f8819,plain,
    ( ~ is_a_theorem(implies(not(z),implies(not(z),z)))
    | is_a_theorem(z)
    | ~ spl0_38 ),
    inference(resolution,[],[f5829,f47]) ).

fof(f8371,plain,
    ( spl0_81
    | spl0_44
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f8341,f2129,f3248,f8365]) ).

fof(f8365,plain,
    ( spl0_81
  <=> ! [X82,X83] : ~ is_a_theorem(not(implies(X82,implies(X83,implies(z,z))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f8341,plain,
    ( ! [X132,X133,X131,X134] :
        ( is_a_theorem(implies(implies(X131,X132),X132))
        | ~ is_a_theorem(not(implies(X133,implies(X134,implies(z,z))))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5561,f436]) ).

fof(f5561,plain,
    ( ! [X86,X87,X85] : is_a_theorem(implies(not(implies(X85,implies(X86,implies(z,z)))),X87))
    | ~ spl0_38 ),
    inference(resolution,[],[f5487,f537]) ).

fof(f8370,plain,
    ( spl0_81
    | ~ spl0_38
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f8357,f7294,f2129,f8365]) ).

fof(f8357,plain,
    ( ! [X200,X201] : ~ is_a_theorem(not(implies(X200,implies(X201,implies(z,z)))))
    | ~ spl0_38
    | ~ spl0_73 ),
    inference(resolution,[],[f5561,f7295]) ).

fof(f8369,plain,
    ( spl0_15
    | spl0_81
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f8354,f2129,f1010,f8365,f597]) ).

fof(f8354,plain,
    ( ! [X191,X192,X190] :
        ( ~ is_a_theorem(not(implies(X190,implies(X191,implies(z,z)))))
        | ~ is_a_theorem(X192) )
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(resolution,[],[f5561,f1011]) ).

fof(f8368,plain,
    ( spl0_2
    | spl0_81
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f8326,f2129,f8365,f17]) ).

fof(f8326,plain,
    ( ! [X58,X59,X60] :
        ( ~ is_a_theorem(not(implies(X58,implies(X59,implies(z,z)))))
        | is_a_theorem(X60) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5561,f1]) ).

fof(f8367,plain,
    ( spl0_81
    | spl0_12
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f8332,f2129,f497,f8365]) ).

fof(f8332,plain,
    ( ! [X82,X83,X80,X81] :
        ( is_a_theorem(implies(X80,X81))
        | ~ is_a_theorem(not(implies(X82,implies(X83,implies(z,z))))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5561,f116]) ).

fof(f8363,plain,
    ( spl0_80
    | spl0_15
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f8351,f2129,f597,f8361]) ).

fof(f8361,plain,
    ( spl0_80
  <=> ! [X178,X179,X177,X180] : is_a_theorem(implies(implies(X177,X178),implies(not(implies(X179,implies(X180,implies(z,z)))),X178))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f8351,plain,
    ( ! [X180,X181,X178,X179,X177] :
        ( ~ is_a_theorem(X181)
        | is_a_theorem(implies(implies(X177,X178),implies(not(implies(X179,implies(X180,implies(z,z)))),X178))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5561,f193]) ).

fof(f193,plain,
    ! [X80,X78,X79,X77] :
      ( ~ is_a_theorem(implies(X77,not(X78)))
      | is_a_theorem(implies(implies(X79,X80),implies(X77,X80)))
      | ~ is_a_theorem(X78) ),
    inference(resolution,[],[f49,f12]) ).

fof(f7976,plain,
    ( spl0_79
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7930,f2129,f600,f7971]) ).

fof(f7971,plain,
    ( spl0_79
  <=> ! [X89,X88,X90] : is_a_theorem(implies(implies(implies(X88,implies(not(implies(z,z)),X89)),X90),X90)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f7930,plain,
    ( ! [X158,X159,X157] : is_a_theorem(implies(implies(implies(X157,implies(not(implies(z,z)),X158)),X159),X159))
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f5738,f427]) ).

fof(f427,plain,
    ! [X8,X9,X7] :
      ( ~ is_a_theorem(implies(implies(not(not(X8)),X9),X7))
      | is_a_theorem(implies(implies(X7,X8),X8)) ),
    inference(resolution,[],[f78,f4]) ).

fof(f5738,plain,
    ( ! [X82,X80,X81] : is_a_theorem(implies(X80,implies(X81,implies(not(implies(z,z)),X82))))
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f5249,f601]) ).

fof(f7975,plain,
    ( spl0_79
    | spl0_15
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7926,f2129,f600,f597,f7971]) ).

fof(f7926,plain,
    ( ! [X142,X143,X140,X141] :
        ( ~ is_a_theorem(X143)
        | is_a_theorem(implies(implies(implies(X140,implies(not(implies(z,z)),X141)),X142),X142)) )
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f5738,f431]) ).

fof(f431,plain,
    ! [X26,X27,X24,X25] :
      ( ~ is_a_theorem(implies(implies(not(X26),X27),X24))
      | is_a_theorem(implies(implies(X24,X25),X25))
      | ~ is_a_theorem(X26) ),
    inference(resolution,[],[f78,f75]) ).

fof(f7974,plain,
    ( spl0_79
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7952,f2129,f600,f7971]) ).

fof(f7952,plain,
    ( ! [X248,X249,X247] : is_a_theorem(implies(implies(implies(X247,implies(not(implies(z,z)),X248)),X249),X249))
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f5738,f1509]) ).

fof(f7973,plain,
    ( spl0_79
    | spl0_15
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7906,f2129,f600,f597,f7971]) ).

fof(f7906,plain,
    ( ! [X90,X91,X88,X89] :
        ( ~ is_a_theorem(X91)
        | is_a_theorem(implies(implies(implies(X88,implies(not(implies(z,z)),X89)),X90),X90)) )
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f5738,f436]) ).

fof(f7969,plain,
    ( spl0_78
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7927,f2129,f600,f7966]) ).

fof(f7966,plain,
    ( spl0_78
  <=> ! [X150,X151,X149,X152] : is_a_theorem(implies(not(implies(X149,implies(X150,implies(not(implies(z,z)),X151)))),X152)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f7927,plain,
    ( ! [X145,X146,X147,X144] : is_a_theorem(implies(not(implies(X144,implies(X145,implies(not(implies(z,z)),X146)))),X147))
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f5738,f537]) ).

fof(f7968,plain,
    ( spl0_15
    | spl0_78
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7928,f2129,f600,f7966,f597]) ).

fof(f7928,plain,
    ( ! [X152,X150,X151,X148,X149] :
        ( is_a_theorem(implies(not(implies(X149,implies(X150,implies(not(implies(z,z)),X151)))),X152))
        | ~ is_a_theorem(X148) )
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(resolution,[],[f5738,f541]) ).

fof(f7832,plain,
    ( spl0_77
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7790,f2129,f7829]) ).

fof(f7829,plain,
    ( spl0_77
  <=> ! [X146,X149,X148,X147] : is_a_theorem(implies(not(implies(X146,implies(not(implies(X147,implies(z,z))),X148))),X149)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f7790,plain,
    ( ! [X142,X143,X141,X144] : is_a_theorem(implies(not(implies(X141,implies(not(implies(X142,implies(z,z))),X143))),X144))
    | ~ spl0_38 ),
    inference(resolution,[],[f5521,f537]) ).

fof(f5521,plain,
    ( ! [X138,X139,X137] : is_a_theorem(implies(X137,implies(not(implies(X138,implies(z,z))),X139)))
    | ~ spl0_38 ),
    inference(resolution,[],[f5273,f260]) ).

fof(f260,plain,
    ! [X18,X19,X16,X17] :
      ( ~ is_a_theorem(implies(X17,not(implies(not(X16),X19))))
      | is_a_theorem(implies(X16,implies(X17,X18))) ),
    inference(resolution,[],[f56,f13]) ).

fof(f7831,plain,
    ( spl0_77
    | spl0_15
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7791,f2129,f597,f7829]) ).

fof(f7791,plain,
    ( ! [X145,X148,X149,X146,X147] :
        ( ~ is_a_theorem(X145)
        | is_a_theorem(implies(not(implies(X146,implies(not(implies(X147,implies(z,z))),X148))),X149)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5521,f541]) ).

fof(f7580,plain,
    ( ~ spl0_76
    | ~ spl0_37
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f7536,f7294,f2125,f7577]) ).

fof(f7577,plain,
    ( spl0_76
  <=> is_a_theorem(implies(implies(z,z),not(implies(z,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f7536,plain,
    ( ~ is_a_theorem(implies(implies(z,z),not(implies(z,z))))
    | ~ spl0_37
    | ~ spl0_73 ),
    inference(resolution,[],[f7295,f2126]) ).

fof(f7575,plain,
    ( ~ spl0_75
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f7534,f7294,f7572]) ).

fof(f7572,plain,
    ( spl0_75
  <=> is_a_theorem(implies(not(not(implies(z,z))),not(implies(z,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f7534,plain,
    ( ~ is_a_theorem(implies(not(not(implies(z,z))),not(implies(z,z))))
    | ~ spl0_73 ),
    inference(resolution,[],[f7295,f3]) ).

fof(f7570,plain,
    ( ~ spl0_74
    | ~ spl0_34
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f7535,f7294,f2004,f7567]) ).

fof(f7567,plain,
    ( spl0_74
  <=> is_a_theorem(implies(implies(z,implies(z,z)),not(implies(z,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f7535,plain,
    ( ~ is_a_theorem(implies(implies(z,implies(z,z)),not(implies(z,z))))
    | ~ spl0_34
    | ~ spl0_73 ),
    inference(resolution,[],[f7295,f3134]) ).

fof(f7299,plain,
    ( spl0_73
    | spl0_2
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7261,f2129,f17,f7294]) ).

fof(f7261,plain,
    ( ! [X62,X61] :
        ( is_a_theorem(X62)
        | ~ is_a_theorem(X61)
        | ~ is_a_theorem(implies(X61,not(implies(z,z)))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5451,f1]) ).

fof(f7298,plain,
    ( spl0_73
    | spl0_12
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7267,f2129,f497,f7294]) ).

fof(f7267,plain,
    ( ! [X80,X81,X79] :
        ( is_a_theorem(implies(X80,X81))
        | ~ is_a_theorem(implies(X79,not(implies(z,z))))
        | ~ is_a_theorem(X79) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5451,f116]) ).

fof(f7297,plain,
    ( spl0_15
    | spl0_73
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7288,f2129,f1010,f7294,f597]) ).

fof(f7288,plain,
    ( ! [X163,X164] :
        ( ~ is_a_theorem(X163)
        | ~ is_a_theorem(X164)
        | ~ is_a_theorem(implies(X163,not(implies(z,z)))) )
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(resolution,[],[f5451,f1011]) ).

fof(f7296,plain,
    ( spl0_73
    | spl0_44
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f7275,f2129,f3248,f7294]) ).

fof(f7275,plain,
    ( ! [X118,X119,X117] :
        ( is_a_theorem(implies(implies(X118,X119),X119))
        | ~ is_a_theorem(X117)
        | ~ is_a_theorem(implies(X117,not(implies(z,z)))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5451,f436]) ).

fof(f6702,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f6689,f6692]) ).

fof(f6692,plain,
    ( spl0_71
  <=> ! [X155,X156,X154] :
        ( ~ is_a_theorem(implies(X154,X155))
        | is_a_theorem(implies(X154,implies(not(X155),X156))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f6689,plain,
    ! [X333,X332,X334] :
      ( ~ is_a_theorem(implies(X332,X333))
      | is_a_theorem(implies(X332,implies(not(X333),X334))) ),
    inference(resolution,[],[f664,f35]) ).

fof(f664,plain,
    ! [X24,X22,X25,X23] :
      ( ~ is_a_theorem(implies(implies(not(X23),X24),X25))
      | ~ is_a_theorem(implies(X22,X23))
      | is_a_theorem(implies(X22,X25)) ),
    inference(resolution,[],[f187,f1]) ).

fof(f187,plain,
    ! [X51,X54,X52,X53] :
      ( is_a_theorem(implies(implies(implies(not(X52),X53),X54),implies(X51,X54)))
      | ~ is_a_theorem(implies(X51,X52)) ),
    inference(resolution,[],[f49,f4]) ).

fof(f6701,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f6619,f6692]) ).

fof(f6619,plain,
    ! [X26,X27,X25] :
      ( ~ is_a_theorem(implies(X25,X26))
      | is_a_theorem(implies(X25,implies(not(X26),X27))) ),
    inference(resolution,[],[f664,f359]) ).

fof(f359,plain,
    ! [X62,X61] : is_a_theorem(implies(implies(not(X61),X61),implies(not(X61),X62))),
    inference(resolution,[],[f98,f35]) ).

fof(f98,plain,
    ! [X18,X16,X17] :
      ( ~ is_a_theorem(implies(implies(not(X16),X17),X18))
      | is_a_theorem(implies(implies(not(X16),X16),X18)) ),
    inference(resolution,[],[f33,f4]) ).

fof(f6700,plain,
    ( spl0_72
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f6615,f1568,f6696]) ).

fof(f6696,plain,
    ( spl0_72
  <=> ! [X18,X17,X19] :
        ( ~ is_a_theorem(implies(X17,X18))
        | ~ is_a_theorem(not(X18))
        | is_a_theorem(implies(X17,X19)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f6615,plain,
    ( ! [X11,X12,X13] :
        ( ~ is_a_theorem(not(X12))
        | is_a_theorem(implies(X11,X13))
        | ~ is_a_theorem(implies(X11,X12)) )
    | ~ spl0_28 ),
    inference(resolution,[],[f664,f1569]) ).

fof(f6699,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f6649,f6692]) ).

fof(f6649,plain,
    ! [X168,X169,X167] :
      ( is_a_theorem(implies(X167,implies(not(X168),X169)))
      | ~ is_a_theorem(implies(X167,X168)) ),
    inference(resolution,[],[f664,f795]) ).

fof(f6698,plain,
    ( spl0_15
    | spl0_72 ),
    inference(avatar_split_clause,[],[f6617,f6696,f597]) ).

fof(f6617,plain,
    ! [X18,X19,X17,X20] :
      ( ~ is_a_theorem(implies(X17,X18))
      | ~ is_a_theorem(X20)
      | is_a_theorem(implies(X17,X19))
      | ~ is_a_theorem(not(X18)) ),
    inference(resolution,[],[f664,f829]) ).

fof(f6694,plain,
    ( spl0_15
    | spl0_71 ),
    inference(avatar_split_clause,[],[f6646,f6692,f597]) ).

fof(f6646,plain,
    ! [X155,X156,X157,X154] :
      ( ~ is_a_theorem(implies(X154,X155))
      | is_a_theorem(implies(X154,implies(not(X155),X156)))
      | ~ is_a_theorem(X157) ),
    inference(resolution,[],[f664,f799]) ).

fof(f799,plain,
    ! [X24,X25,X23] :
      ( is_a_theorem(implies(implies(X23,not(X24)),implies(X23,X25)))
      | ~ is_a_theorem(X24) ),
    inference(resolution,[],[f79,f75]) ).

fof(f6610,plain,
    ( spl0_15
    | ~ spl0_70
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f6598,f2129,f1010,f6604,f597]) ).

fof(f6604,plain,
    ( spl0_70
  <=> is_a_theorem(not(implies(implies(not(z),z),z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f6598,plain,
    ( ! [X94] :
        ( ~ is_a_theorem(not(implies(implies(not(z),z),z)))
        | ~ is_a_theorem(X94) )
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(resolution,[],[f5827,f1011]) ).

fof(f5827,plain,
    ( ! [X105] : is_a_theorem(implies(not(implies(implies(not(z),z),z)),X105))
    | ~ spl0_38 ),
    inference(resolution,[],[f5724,f383]) ).

fof(f383,plain,
    ! [X26,X25] :
      ( ~ is_a_theorem(implies(not(X25),X25))
      | is_a_theorem(implies(not(X25),X26)) ),
    inference(resolution,[],[f359,f1]) ).

fof(f6609,plain,
    ( ~ spl0_70
    | spl0_2
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f6572,f2129,f17,f6604]) ).

fof(f6572,plain,
    ( ! [X21] :
        ( is_a_theorem(X21)
        | ~ is_a_theorem(not(implies(implies(not(z),z),z))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5827,f1]) ).

fof(f6608,plain,
    ( ~ spl0_70
    | spl0_12
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f6578,f2129,f497,f6604]) ).

fof(f6578,plain,
    ( ! [X34,X33] :
        ( is_a_theorem(implies(X33,X34))
        | ~ is_a_theorem(not(implies(implies(not(z),z),z))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5827,f116]) ).

fof(f6607,plain,
    ( spl0_44
    | ~ spl0_70
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f6586,f2129,f6604,f3248]) ).

fof(f6586,plain,
    ( ! [X63,X64] :
        ( ~ is_a_theorem(not(implies(implies(not(z),z),z)))
        | is_a_theorem(implies(implies(X63,X64),X64)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5827,f436]) ).

fof(f6456,plain,
    ( spl0_69
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f6416,f2129,f6451]) ).

fof(f6451,plain,
    ( spl0_69
  <=> ! [X64,X63] : is_a_theorem(implies(implies(implies(implies(z,X63),implies(z,X63)),X64),X64)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f6416,plain,
    ( ! [X101,X100] : is_a_theorem(implies(implies(implies(implies(z,X100),implies(z,X100)),X101),X101))
    | ~ spl0_38 ),
    inference(resolution,[],[f5716,f427]) ).

fof(f5716,plain,
    ( ! [X8,X9] : is_a_theorem(implies(X8,implies(implies(z,X9),implies(z,X9))))
    | ~ spl0_38 ),
    inference(resolution,[],[f5249,f2]) ).

fof(f6455,plain,
    ( spl0_69
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f6437,f2129,f6451]) ).

fof(f6437,plain,
    ( ! [X166,X165] : is_a_theorem(implies(implies(implies(implies(z,X165),implies(z,X165)),X166),X166))
    | ~ spl0_38 ),
    inference(resolution,[],[f5716,f1509]) ).

fof(f6454,plain,
    ( spl0_15
    | spl0_69
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f6410,f2129,f6451,f597]) ).

fof(f6410,plain,
    ( ! [X86,X87,X85] :
        ( is_a_theorem(implies(implies(implies(implies(z,X85),implies(z,X85)),X86),X86))
        | ~ is_a_theorem(X87) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5716,f431]) ).

fof(f6453,plain,
    ( spl0_15
    | spl0_69
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f6395,f2129,f6451,f597]) ).

fof(f6395,plain,
    ( ! [X65,X63,X64] :
        ( is_a_theorem(implies(implies(implies(implies(z,X63),implies(z,X63)),X64),X64))
        | ~ is_a_theorem(X65) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5716,f436]) ).

fof(f5975,plain,
    ( spl0_12
    | spl0_68
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5944,f2129,f5970,f497]) ).

fof(f5970,plain,
    ( spl0_68
  <=> ! [X92] : ~ is_a_theorem(not(implies(not(implies(z,z)),X92))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f5944,plain,
    ( ! [X54,X52,X53] :
        ( ~ is_a_theorem(not(implies(not(implies(z,z)),X54)))
        | is_a_theorem(implies(X52,X53)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5459,f116]) ).

fof(f5459,plain,
    ( ! [X86,X87] : is_a_theorem(implies(not(implies(not(implies(z,z)),X86)),X87))
    | ~ spl0_38 ),
    inference(resolution,[],[f5306,f39]) ).

fof(f5974,plain,
    ( spl0_15
    | spl0_68
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5964,f2129,f1010,f5970,f597]) ).

fof(f5964,plain,
    ( ! [X133,X134] :
        ( ~ is_a_theorem(not(implies(not(implies(z,z)),X133)))
        | ~ is_a_theorem(X134) )
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(resolution,[],[f5459,f1011]) ).

fof(f5973,plain,
    ( spl0_68
    | spl0_2
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5938,f2129,f17,f5970]) ).

fof(f5938,plain,
    ( ! [X36,X35] :
        ( is_a_theorem(X36)
        | ~ is_a_theorem(not(implies(not(implies(z,z)),X35))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5459,f1]) ).

fof(f5972,plain,
    ( spl0_68
    | spl0_44
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5952,f2129,f3248,f5970]) ).

fof(f5952,plain,
    ( ! [X90,X91,X92] :
        ( is_a_theorem(implies(implies(X90,X91),X91))
        | ~ is_a_theorem(not(implies(not(implies(z,z)),X92))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5459,f436]) ).

fof(f5921,plain,
    ( spl0_67
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f5844,f1568,f5918]) ).

fof(f5918,plain,
    ( spl0_67
  <=> ! [X9,X8] :
        ( is_a_theorem(implies(X8,X9))
        | ~ is_a_theorem(implies(not(not(X8)),not(X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f5844,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(not(not(X0)),not(X0)))
        | is_a_theorem(implies(X0,X1)) )
    | ~ spl0_28 ),
    inference(resolution,[],[f210,f1569]) ).

fof(f210,plain,
    ! [X8,X9,X7] :
      ( ~ is_a_theorem(implies(implies(implies(not(not(X7)),not(X7)),X9),X8))
      | is_a_theorem(implies(X7,X8)) ),
    inference(resolution,[],[f72,f27]) ).

fof(f72,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(not(X0)),not(X0)),X1))),
    inference(resolution,[],[f37,f3]) ).

fof(f5920,plain,
    ( spl0_15
    | spl0_67 ),
    inference(avatar_split_clause,[],[f5848,f5918,f597]) ).

fof(f5848,plain,
    ! [X10,X8,X9] :
      ( is_a_theorem(implies(X8,X9))
      | ~ is_a_theorem(X10)
      | ~ is_a_theorem(implies(not(not(X8)),not(X8))) ),
    inference(resolution,[],[f210,f829]) ).

fof(f5843,plain,
    ( spl0_66
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5806,f2129,f5839]) ).

fof(f5806,plain,
    ( ! [X61] : is_a_theorem(implies(implies(implies(implies(not(z),z),z),X61),X61))
    | ~ spl0_38 ),
    inference(resolution,[],[f5724,f427]) ).

fof(f5842,plain,
    ( spl0_66
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5826,f2129,f5839]) ).

fof(f5826,plain,
    ( ! [X104] : is_a_theorem(implies(implies(implies(implies(not(z),z),z),X104),X104))
    | ~ spl0_38 ),
    inference(resolution,[],[f5724,f1509]) ).

fof(f5841,plain,
    ( spl0_15
    | spl0_66
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5788,f2129,f5839,f597]) ).

fof(f5788,plain,
    ( ! [X48,X47] :
        ( is_a_theorem(implies(implies(implies(implies(not(z),z),z),X47),X47))
        | ~ is_a_theorem(X48) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5724,f436]) ).

fof(f5530,plain,
    ( spl0_15
    | spl0_65
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5519,f2129,f1010,f5525,f597]) ).

fof(f5525,plain,
    ( spl0_65
  <=> ! [X54] : ~ is_a_theorem(not(implies(X54,implies(z,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f5519,plain,
    ( ! [X133,X134] :
        ( ~ is_a_theorem(not(implies(X133,implies(z,z))))
        | ~ is_a_theorem(X134) )
    | ~ spl0_18
    | ~ spl0_38 ),
    inference(resolution,[],[f5273,f1011]) ).

fof(f5529,plain,
    ( spl0_44
    | spl0_65
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5507,f2129,f5525,f3248]) ).

fof(f5507,plain,
    ( ! [X90,X91,X92] :
        ( ~ is_a_theorem(not(implies(X92,implies(z,z))))
        | is_a_theorem(implies(implies(X90,X91),X91)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5273,f436]) ).

fof(f5528,plain,
    ( spl0_65
    | spl0_2
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5493,f2129,f17,f5525]) ).

fof(f5493,plain,
    ( ! [X36,X35] :
        ( is_a_theorem(X36)
        | ~ is_a_theorem(not(implies(X35,implies(z,z)))) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5273,f1]) ).

fof(f5527,plain,
    ( spl0_12
    | spl0_65
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5499,f2129,f5525,f497]) ).

fof(f5499,plain,
    ( ! [X54,X52,X53] :
        ( ~ is_a_theorem(not(implies(X54,implies(z,z))))
        | is_a_theorem(implies(X52,X53)) )
    | ~ spl0_38 ),
    inference(resolution,[],[f5273,f116]) ).

fof(f5347,plain,
    ( ~ spl0_62
    | spl0_64
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f5326,f5161,f5345,f5336]) ).

fof(f5336,plain,
    ( spl0_62
  <=> is_a_theorem(not(implies(z,z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f5161,plain,
    ( spl0_60
  <=> is_a_theorem(implies(not(implies(z,z)),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f5326,plain,
    ( ! [X12] :
        ( is_a_theorem(implies(X12,z))
        | ~ is_a_theorem(not(implies(z,z))) )
    | ~ spl0_60 ),
    inference(resolution,[],[f5162,f116]) ).

fof(f5162,plain,
    ( is_a_theorem(implies(not(implies(z,z)),z))
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f5161]) ).

fof(f5343,plain,
    ( ~ spl0_62
    | spl0_7
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f5320,f5161,f143,f5336]) ).

fof(f5320,plain,
    ( is_a_theorem(z)
    | ~ is_a_theorem(not(implies(z,z)))
    | ~ spl0_60 ),
    inference(resolution,[],[f5162,f1]) ).

fof(f5342,plain,
    ( ~ spl0_62
    | spl0_63
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f5334,f5161,f5340,f5336]) ).

fof(f5334,plain,
    ( ! [X34] :
        ( is_a_theorem(implies(implies(z,X34),X34))
        | ~ is_a_theorem(not(implies(z,z))) )
    | ~ spl0_60 ),
    inference(resolution,[],[f5162,f436]) ).

fof(f5312,plain,
    ( spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5278,f2129,f2125]) ).

fof(f5278,plain,
    ( ! [X60] : is_a_theorem(implies(implies(implies(z,z),X60),X60))
    | ~ spl0_38 ),
    inference(resolution,[],[f2130,f427]) ).

fof(f5311,plain,
    ( spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5298,f2129,f2125]) ).

fof(f5298,plain,
    ( ! [X103] : is_a_theorem(implies(implies(implies(z,z),X103),X103))
    | ~ spl0_38 ),
    inference(resolution,[],[f2130,f1509]) ).

fof(f5310,plain,
    ( spl0_15
    | spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f5262,f2129,f2125,f597]) ).

fof(f5262,plain,
    ( ! [X48,X47] :
        ( is_a_theorem(implies(implies(implies(z,z),X47),X47))
        | ~ is_a_theorem(X48) )
    | ~ spl0_38 ),
    inference(resolution,[],[f2130,f436]) ).

fof(f5245,plain,
    ( spl0_61
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f5173,f1568,f5242]) ).

fof(f5242,plain,
    ( spl0_61
  <=> ! [X18,X17,X19] :
        ( is_a_theorem(implies(not(implies(X17,X18)),X19))
        | ~ is_a_theorem(not(X17)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f5173,plain,
    ( ! [X11,X12,X13] :
        ( ~ is_a_theorem(not(X11))
        | is_a_theorem(implies(not(implies(X11,X12)),X13)) )
    | ~ spl0_28 ),
    inference(resolution,[],[f537,f1569]) ).

fof(f5244,plain,
    ( spl0_15
    | spl0_61 ),
    inference(avatar_split_clause,[],[f5175,f5242,f597]) ).

fof(f5175,plain,
    ! [X18,X19,X17,X20] :
      ( is_a_theorem(implies(not(implies(X17,X18)),X19))
      | ~ is_a_theorem(not(X17))
      | ~ is_a_theorem(X20) ),
    inference(resolution,[],[f537,f829]) ).

fof(f5168,plain,
    ( ~ spl0_33
    | spl0_60 ),
    inference(avatar_split_clause,[],[f5166,f5161,f1981]) ).

fof(f1981,plain,
    ( spl0_33
  <=> is_a_theorem(implies(z,z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f5166,plain,
    ( ~ is_a_theorem(implies(z,z))
    | spl0_60 ),
    inference(resolution,[],[f5163,f12]) ).

fof(f5163,plain,
    ( ~ is_a_theorem(implies(not(implies(z,z)),z))
    | spl0_60 ),
    inference(avatar_component_clause,[],[f5161]) ).

fof(f5164,plain,
    ( ~ spl0_60
    | spl0_38
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f5105,f2004,f2129,f5161]) ).

fof(f5105,plain,
    ( ! [X1] :
        ( is_a_theorem(implies(X1,implies(z,z)))
        | ~ is_a_theorem(implies(not(implies(z,z)),z)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3098,f47]) ).

fof(f3098,plain,
    ( ! [X3,X4] :
        ( ~ is_a_theorem(implies(implies(z,implies(z,z)),X4))
        | is_a_theorem(implies(X3,X4)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f2990,f27]) ).

fof(f5103,plain,
    ( spl0_2
    | spl0_58 ),
    inference(avatar_split_clause,[],[f5061,f5093,f17]) ).

fof(f5093,plain,
    ( spl0_58
  <=> ! [X176,X177] :
        ( ~ is_a_theorem(implies(X176,X177))
        | ~ is_a_theorem(not(implies(implies(not(X176),X176),X177))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f5061,plain,
    ! [X51,X52,X53] :
      ( ~ is_a_theorem(implies(X51,X52))
      | is_a_theorem(X53)
      | ~ is_a_theorem(not(implies(implies(not(X51),X51),X52))) ),
    inference(resolution,[],[f523,f1]) ).

fof(f523,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(not(implies(implies(not(X0),X0),X1)),X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f152,f3]) ).

fof(f5102,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f5079,f5098]) ).

fof(f5098,plain,
    ( spl0_59
  <=> ! [X163,X165,X166,X164] :
        ( ~ is_a_theorem(implies(X163,X164))
        | is_a_theorem(implies(implies(X165,X166),implies(not(implies(implies(not(X163),X163),X164)),X166))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f5079,plain,
    ! [X142,X143,X141,X144] :
      ( is_a_theorem(implies(implies(X143,X144),implies(not(implies(implies(not(X141),X141),X142)),X144)))
      | ~ is_a_theorem(implies(X141,X142)) ),
    inference(resolution,[],[f523,f177]) ).

fof(f5101,plain,
    ( spl0_58
    | spl0_12 ),
    inference(avatar_split_clause,[],[f5067,f497,f5093]) ).

fof(f5067,plain,
    ! [X78,X76,X77,X75] :
      ( is_a_theorem(implies(X77,X78))
      | ~ is_a_theorem(implies(X75,X76))
      | ~ is_a_theorem(not(implies(implies(not(X75),X75),X76))) ),
    inference(resolution,[],[f523,f116]) ).

fof(f5100,plain,
    ( spl0_59
    | spl0_15 ),
    inference(avatar_split_clause,[],[f5084,f597,f5098]) ).

fof(f5084,plain,
    ! [X163,X166,X167,X164,X165] :
      ( ~ is_a_theorem(X167)
      | ~ is_a_theorem(implies(X163,X164))
      | is_a_theorem(implies(implies(X165,X166),implies(not(implies(implies(not(X163),X163),X164)),X166))) ),
    inference(resolution,[],[f523,f193]) ).

fof(f5096,plain,
    ( spl0_44
    | spl0_58 ),
    inference(avatar_split_clause,[],[f5075,f5093,f3248]) ).

fof(f5075,plain,
    ! [X121,X124,X122,X123] :
      ( ~ is_a_theorem(not(implies(implies(not(X121),X121),X122)))
      | is_a_theorem(implies(implies(X123,X124),X124))
      | ~ is_a_theorem(implies(X121,X122)) ),
    inference(resolution,[],[f523,f436]) ).

fof(f5095,plain,
    ( spl0_58
    | spl0_15
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f5087,f1010,f597,f5093]) ).

fof(f5087,plain,
    ( ! [X178,X176,X177] :
        ( ~ is_a_theorem(X178)
        | ~ is_a_theorem(implies(X176,X177))
        | ~ is_a_theorem(not(implies(implies(not(X176),X176),X177))) )
    | ~ spl0_18 ),
    inference(resolution,[],[f523,f1011]) ).

fof(f4923,plain,
    ( spl0_57
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f4876,f2351,f4920]) ).

fof(f4920,plain,
    ( spl0_57
  <=> is_a_theorem(implies(z,implies(implies(not(z),z),implies(z,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2351,plain,
    ( spl0_40
  <=> is_a_theorem(implies(z,implies(z,implies(z,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f4876,plain,
    ( is_a_theorem(implies(z,implies(implies(not(z),z),implies(z,z))))
    | ~ spl0_40 ),
    inference(resolution,[],[f2409,f634]) ).

fof(f2409,plain,
    ( ! [X1] :
        ( ~ is_a_theorem(implies(implies(z,implies(z,z)),X1))
        | is_a_theorem(implies(z,X1)) )
    | ~ spl0_40 ),
    inference(resolution,[],[f2353,f27]) ).

fof(f2353,plain,
    ( is_a_theorem(implies(z,implies(z,implies(z,z))))
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f2351]) ).

fof(f4797,plain,
    ( spl0_56
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4781,f2004,f4794]) ).

fof(f4794,plain,
    ( spl0_56
  <=> ! [X64,X63] : is_a_theorem(implies(implies(implies(z,implies(implies(z,X63),implies(z,X63))),X64),X64)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f4781,plain,
    ( ! [X148,X147] : is_a_theorem(implies(implies(implies(z,implies(implies(z,X147),implies(z,X147))),X148),X148))
    | ~ spl0_34 ),
    inference(resolution,[],[f2952,f1509]) ).

fof(f2952,plain,
    ( ! [X6,X5] : is_a_theorem(implies(X5,implies(z,implies(implies(z,X6),implies(z,X6)))))
    | ~ spl0_34 ),
    inference(resolution,[],[f2323,f2]) ).

fof(f4796,plain,
    ( spl0_56
    | spl0_15
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4749,f2004,f597,f4794]) ).

fof(f4749,plain,
    ( ! [X65,X63,X64] :
        ( ~ is_a_theorem(X65)
        | is_a_theorem(implies(implies(implies(z,implies(implies(z,X63),implies(z,X63))),X64),X64)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f2952,f436]) ).

fof(f4680,plain,
    ( spl0_55
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f4649,f1568,f4677]) ).

fof(f4677,plain,
    ( spl0_55
  <=> ! [X9,X8] :
        ( ~ is_a_theorem(not(not(X8)))
        | is_a_theorem(X9)
        | ~ is_a_theorem(implies(X8,X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f4649,plain,
    ( ! [X4,X5] :
        ( is_a_theorem(X5)
        | ~ is_a_theorem(implies(X4,X5))
        | ~ is_a_theorem(not(not(X4))) )
    | ~ spl0_28 ),
    inference(resolution,[],[f390,f1569]) ).

fof(f390,plain,
    ! [X26,X24,X25] :
      ( ~ is_a_theorem(implies(implies(not(not(X24)),X26),X24))
      | ~ is_a_theorem(implies(X24,X25))
      | is_a_theorem(X25) ),
    inference(resolution,[],[f135,f1]) ).

fof(f135,plain,
    ! [X8,X9,X7] :
      ( is_a_theorem(implies(implies(implies(not(not(X7)),X9),X7),X8))
      | ~ is_a_theorem(implies(X7,X8)) ),
    inference(resolution,[],[f50,f4]) ).

fof(f4679,plain,
    ( spl0_15
    | spl0_55 ),
    inference(avatar_split_clause,[],[f4651,f4677,f597]) ).

fof(f4651,plain,
    ! [X10,X8,X9] :
      ( ~ is_a_theorem(not(not(X8)))
      | ~ is_a_theorem(implies(X8,X9))
      | is_a_theorem(X9)
      | ~ is_a_theorem(X10) ),
    inference(resolution,[],[f390,f829]) ).

fof(f4519,plain,
    ( spl0_2
    | spl0_54
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4485,f2004,f4514,f17]) ).

fof(f4514,plain,
    ( spl0_54
  <=> ! [X91] :
        ( ~ is_a_theorem(X91)
        | ~ is_a_theorem(not(implies(z,implies(z,X91)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f4485,plain,
    ( ! [X36,X35] :
        ( ~ is_a_theorem(X35)
        | is_a_theorem(X36)
        | ~ is_a_theorem(not(implies(z,implies(z,X35)))) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3820,f1]) ).

fof(f3820,plain,
    ( ! [X143,X144] :
        ( is_a_theorem(implies(not(implies(z,implies(z,X143))),X144))
        | ~ is_a_theorem(X143) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3163,f383]) ).

fof(f3163,plain,
    ( ! [X62,X63] :
        ( is_a_theorem(implies(X63,implies(z,implies(z,X62))))
        | ~ is_a_theorem(X62) )
    | ~ spl0_34 ),
    inference(resolution,[],[f2991,f2323]) ).

fof(f2991,plain,
    ( ! [X132,X133] :
        ( is_a_theorem(implies(X132,implies(z,X133)))
        | ~ is_a_theorem(X133) )
    | ~ spl0_34 ),
    inference(resolution,[],[f2323,f90]) ).

fof(f4518,plain,
    ( spl0_54
    | spl0_12
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4491,f2004,f497,f4514]) ).

fof(f4491,plain,
    ( ! [X54,X55,X53] :
        ( is_a_theorem(implies(X54,X55))
        | ~ is_a_theorem(not(implies(z,implies(z,X53))))
        | ~ is_a_theorem(X53) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3820,f116]) ).

fof(f4517,plain,
    ( spl0_15
    | spl0_54
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4510,f2004,f1010,f4514,f597]) ).

fof(f4510,plain,
    ( ! [X132,X131] :
        ( ~ is_a_theorem(not(implies(z,implies(z,X131))))
        | ~ is_a_theorem(X132)
        | ~ is_a_theorem(X131) )
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(resolution,[],[f3820,f1011]) ).

fof(f4516,plain,
    ( spl0_44
    | spl0_54
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4499,f2004,f4514,f3248]) ).

fof(f4499,plain,
    ( ! [X91,X92,X93] :
        ( ~ is_a_theorem(X91)
        | is_a_theorem(implies(implies(X92,X93),X93))
        | ~ is_a_theorem(not(implies(z,implies(z,X91)))) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3820,f436]) ).

fof(f4466,plain,
    ( spl0_53
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4450,f2004,f4463]) ).

fof(f4463,plain,
    ( spl0_53
  <=> ! [X87,X86,X88] :
        ( is_a_theorem(implies(implies(implies(not(implies(z,X86)),X87),X88),X88))
        | ~ is_a_theorem(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f4450,plain,
    ( ! [X198,X199,X197] :
        ( is_a_theorem(implies(implies(implies(not(implies(z,X197)),X198),X199),X199))
        | ~ is_a_theorem(X197) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3280,f1509]) ).

fof(f3280,plain,
    ( ! [X90,X91,X92] :
        ( is_a_theorem(implies(X91,implies(not(implies(z,X90)),X92)))
        | ~ is_a_theorem(X90) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3185,f37]) ).

fof(f3185,plain,
    ( ! [X122,X123] :
        ( is_a_theorem(implies(not(implies(z,X122)),X123))
        | ~ is_a_theorem(X122) )
    | ~ spl0_34 ),
    inference(resolution,[],[f2991,f383]) ).

fof(f4465,plain,
    ( spl0_53
    | spl0_15
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4420,f2004,f597,f4463]) ).

fof(f4420,plain,
    ( ! [X88,X86,X89,X87] :
        ( ~ is_a_theorem(X89)
        | is_a_theorem(implies(implies(implies(not(implies(z,X86)),X87),X88),X88))
        | ~ is_a_theorem(X86) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3280,f436]) ).

fof(f4341,plain,
    ( ~ spl0_52
    | spl0_15
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4331,f2004,f1010,f597,f4335]) ).

fof(f4335,plain,
    ( spl0_52
  <=> is_a_theorem(not(implies(z,implies(z,implies(z,z))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f4331,plain,
    ( ! [X90] :
        ( ~ is_a_theorem(X90)
        | ~ is_a_theorem(not(implies(z,implies(z,implies(z,z))))) )
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(resolution,[],[f3470,f1011]) ).

fof(f3470,plain,
    ( ! [X89] : is_a_theorem(implies(not(implies(z,implies(z,implies(z,z)))),X89))
    | ~ spl0_34 ),
    inference(resolution,[],[f2951,f383]) ).

fof(f2951,plain,
    ( ! [X4] : is_a_theorem(implies(X4,implies(z,implies(z,implies(z,z)))))
    | ~ spl0_34 ),
    inference(resolution,[],[f2323,f2313]) ).

fof(f2313,plain,
    ( ! [X2] : is_a_theorem(implies(implies(X2,z),implies(z,implies(X2,z))))
    | ~ spl0_34 ),
    inference(resolution,[],[f2248,f29]) ).

fof(f4340,plain,
    ( ~ spl0_52
    | spl0_44
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4320,f2004,f3248,f4335]) ).

fof(f4320,plain,
    ( ! [X62,X61] :
        ( is_a_theorem(implies(implies(X61,X62),X62))
        | ~ is_a_theorem(not(implies(z,implies(z,implies(z,z))))) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3470,f436]) ).

fof(f4339,plain,
    ( spl0_12
    | ~ spl0_52
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4312,f2004,f4335,f497]) ).

fof(f4312,plain,
    ( ! [X31,X32] :
        ( ~ is_a_theorem(not(implies(z,implies(z,implies(z,z)))))
        | is_a_theorem(implies(X31,X32)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3470,f116]) ).

fof(f4338,plain,
    ( ~ spl0_52
    | spl0_2
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4306,f2004,f17,f4335]) ).

fof(f4306,plain,
    ( ! [X19] :
        ( is_a_theorem(X19)
        | ~ is_a_theorem(not(implies(z,implies(z,implies(z,z))))) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3470,f1]) ).

fof(f4238,plain,
    ( spl0_51
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4222,f2004,f4235]) ).

fof(f4235,plain,
    ( spl0_51
  <=> ! [X64,X63] : is_a_theorem(implies(implies(implies(z,implies(not(implies(z,z)),X63)),X64),X64)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f4222,plain,
    ( ! [X145,X144] : is_a_theorem(implies(implies(implies(z,implies(not(implies(z,z)),X144)),X145),X145))
    | ~ spl0_34 ),
    inference(resolution,[],[f2974,f1509]) ).

fof(f2974,plain,
    ( ! [X78,X77] : is_a_theorem(implies(X77,implies(z,implies(not(implies(z,z)),X78))))
    | ~ spl0_34 ),
    inference(resolution,[],[f2323,f4]) ).

fof(f4237,plain,
    ( spl0_51
    | spl0_15
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4192,f2004,f597,f4235]) ).

fof(f4192,plain,
    ( ! [X65,X63,X64] :
        ( ~ is_a_theorem(X65)
        | is_a_theorem(implies(implies(implies(z,implies(not(implies(z,z)),X63)),X64),X64)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f2974,f436]) ).

fof(f4142,plain,
    ( spl0_50
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4126,f2004,f4139]) ).

fof(f4139,plain,
    ( spl0_50
  <=> ! [X47] : is_a_theorem(implies(implies(implies(z,implies(implies(not(z),z),z)),X47),X47)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f4126,plain,
    ( ! [X98] : is_a_theorem(implies(implies(implies(z,implies(implies(not(z),z),z)),X98),X98))
    | ~ spl0_34 ),
    inference(resolution,[],[f2960,f1509]) ).

fof(f2960,plain,
    ( ! [X33] : is_a_theorem(implies(X33,implies(z,implies(implies(not(z),z),z))))
    | ~ spl0_34 ),
    inference(resolution,[],[f2323,f634]) ).

fof(f4141,plain,
    ( spl0_50
    | spl0_15
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4096,f2004,f597,f4139]) ).

fof(f4096,plain,
    ( ! [X48,X47] :
        ( ~ is_a_theorem(X48)
        | is_a_theorem(implies(implies(implies(z,implies(implies(not(z),z),z)),X47),X47)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f2960,f436]) ).

fof(f4079,plain,
    ( spl0_49
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f4056,f2004,f4076]) ).

fof(f4076,plain,
    ( spl0_49
  <=> is_a_theorem(implies(implies(implies(z,implies(z,z)),z),implies(z,z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f4056,plain,
    ( is_a_theorem(implies(implies(implies(z,implies(z,z)),z),implies(z,z)))
    | ~ spl0_34 ),
    inference(resolution,[],[f3592,f3134]) ).

fof(f3592,plain,
    ( ! [X22] :
        ( ~ is_a_theorem(implies(X22,z))
        | is_a_theorem(implies(X22,implies(z,z))) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3137,f13]) ).

fof(f3137,plain,
    ( ! [X85] :
        ( ~ is_a_theorem(implies(implies(z,implies(z,z)),X85))
        | is_a_theorem(X85) )
    | ~ spl0_34 ),
    inference(resolution,[],[f2990,f34]) ).

fof(f3913,plain,
    ( spl0_12
    | spl0_48 ),
    inference(avatar_split_clause,[],[f3886,f3908,f497]) ).

fof(f3908,plain,
    ( spl0_48
  <=> ! [X181,X180,X179] :
        ( ~ is_a_theorem(not(implies(not(implies(not(X179),X180)),X181)))
        | ~ is_a_theorem(X179) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f3886,plain,
    ! [X90,X91,X88,X89,X87] :
      ( ~ is_a_theorem(X87)
      | ~ is_a_theorem(not(implies(not(implies(not(X87),X90)),X91)))
      | is_a_theorem(implies(X88,X89)) ),
    inference(resolution,[],[f242,f116]) ).

fof(f242,plain,
    ! [X18,X19,X16,X17] :
      ( is_a_theorem(implies(not(implies(not(implies(not(X16),X17)),X18)),X19))
      | ~ is_a_theorem(X16) ),
    inference(resolution,[],[f53,f1]) ).

fof(f53,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(not(implies(not(implies(not(X0),X1)),X2)),X3))),
    inference(resolution,[],[f39,f31]) ).

fof(f3912,plain,
    ( spl0_44
    | spl0_48 ),
    inference(avatar_split_clause,[],[f3894,f3908,f3248]) ).

fof(f3894,plain,
    ! [X142,X145,X143,X141,X144] :
      ( ~ is_a_theorem(not(implies(not(implies(not(X141),X144)),X145)))
      | ~ is_a_theorem(X141)
      | is_a_theorem(implies(implies(X142,X143),X143)) ),
    inference(resolution,[],[f242,f436]) ).

fof(f3911,plain,
    ( spl0_48
    | spl0_2 ),
    inference(avatar_split_clause,[],[f3880,f17,f3908]) ).

fof(f3880,plain,
    ! [X59,X62,X60,X61] :
      ( is_a_theorem(X62)
      | ~ is_a_theorem(X59)
      | ~ is_a_theorem(not(implies(not(implies(not(X59),X60)),X61))) ),
    inference(resolution,[],[f242,f1]) ).

fof(f3910,plain,
    ( spl0_48
    | spl0_15
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f3901,f1010,f597,f3908]) ).

fof(f3901,plain,
    ( ! [X180,X181,X179,X182] :
        ( ~ is_a_theorem(X182)
        | ~ is_a_theorem(not(implies(not(implies(not(X179),X180)),X181)))
        | ~ is_a_theorem(X179) )
    | ~ spl0_18 ),
    inference(resolution,[],[f242,f1011]) ).

fof(f3865,plain,
    ( spl0_47
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f3838,f1568,f3862]) ).

fof(f3862,plain,
    ( spl0_47
  <=> ! [X7,X8] :
        ( is_a_theorem(X7)
        | ~ is_a_theorem(not(implies(not(not(X7)),X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f3838,plain,
    ( ! [X3,X4] :
        ( ~ is_a_theorem(not(implies(not(not(X3)),X4)))
        | is_a_theorem(X3) )
    | ~ spl0_28 ),
    inference(resolution,[],[f233,f1569]) ).

fof(f233,plain,
    ! [X8,X9,X7] :
      ( ~ is_a_theorem(implies(implies(not(implies(not(not(X7)),X8)),X9),X7))
      | is_a_theorem(X7) ),
    inference(resolution,[],[f81,f39]) ).

fof(f3864,plain,
    ( spl0_15
    | spl0_47 ),
    inference(avatar_split_clause,[],[f3840,f3862,f597]) ).

fof(f3840,plain,
    ! [X8,X9,X7] :
      ( is_a_theorem(X7)
      | ~ is_a_theorem(not(implies(not(not(X7)),X8)))
      | ~ is_a_theorem(X9) ),
    inference(resolution,[],[f233,f829]) ).

fof(f3835,plain,
    ( spl0_46
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3819,f2004,f3832]) ).

fof(f3832,plain,
    ( spl0_46
  <=> ! [X64,X63] :
        ( is_a_theorem(implies(implies(implies(z,implies(z,X63)),X64),X64))
        | ~ is_a_theorem(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f3819,plain,
    ( ! [X142,X141] :
        ( ~ is_a_theorem(X141)
        | is_a_theorem(implies(implies(implies(z,implies(z,X141)),X142),X142)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3163,f1509]) ).

fof(f3834,plain,
    ( spl0_46
    | spl0_15
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3791,f2004,f597,f3832]) ).

fof(f3791,plain,
    ( ! [X65,X63,X64] :
        ( ~ is_a_theorem(X65)
        | is_a_theorem(implies(implies(implies(z,implies(z,X63)),X64),X64))
        | ~ is_a_theorem(X63) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3163,f436]) ).

fof(f3297,plain,
    ( spl0_45
    | spl0_15
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3286,f2004,f1010,f597,f3292]) ).

fof(f3292,plain,
    ( spl0_45
  <=> ! [X49] :
        ( ~ is_a_theorem(X49)
        | ~ is_a_theorem(not(implies(z,X49))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f3286,plain,
    ( ! [X111,X112] :
        ( ~ is_a_theorem(X112)
        | ~ is_a_theorem(X111)
        | ~ is_a_theorem(not(implies(z,X111))) )
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(resolution,[],[f3185,f1011]) ).

fof(f3296,plain,
    ( spl0_44
    | spl0_45
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3279,f2004,f3292,f3248]) ).

fof(f3279,plain,
    ( ! [X88,X89,X87] :
        ( ~ is_a_theorem(not(implies(z,X87)))
        | is_a_theorem(implies(implies(X88,X89),X89))
        | ~ is_a_theorem(X87) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3185,f436]) ).

fof(f3295,plain,
    ( spl0_2
    | spl0_45
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3265,f2004,f3292,f17]) ).

fof(f3265,plain,
    ( ! [X31,X32] :
        ( ~ is_a_theorem(X31)
        | ~ is_a_theorem(not(implies(z,X31)))
        | is_a_theorem(X32) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3185,f1]) ).

fof(f3294,plain,
    ( spl0_12
    | spl0_45
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3271,f2004,f3292,f497]) ).

fof(f3271,plain,
    ( ! [X50,X51,X49] :
        ( ~ is_a_theorem(X49)
        | is_a_theorem(implies(X50,X51))
        | ~ is_a_theorem(not(implies(z,X49))) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3185,f116]) ).

fof(f3250,plain,
    ( spl0_44
    | ~ spl0_43
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3224,f2004,f3241,f3248]) ).

fof(f3241,plain,
    ( spl0_43
  <=> is_a_theorem(not(implies(z,implies(z,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f3224,plain,
    ( ! [X59,X60] :
        ( ~ is_a_theorem(not(implies(z,implies(z,z))))
        | is_a_theorem(implies(implies(X59,X60),X60)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3135,f436]) ).

fof(f3135,plain,
    ( ! [X83] : is_a_theorem(implies(not(implies(z,implies(z,z))),X83))
    | ~ spl0_34 ),
    inference(resolution,[],[f2990,f383]) ).

fof(f3246,plain,
    ( spl0_12
    | ~ spl0_43
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3216,f2004,f3241,f497]) ).

fof(f3216,plain,
    ( ! [X29,X30] :
        ( ~ is_a_theorem(not(implies(z,implies(z,z))))
        | is_a_theorem(implies(X29,X30)) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3135,f116]) ).

fof(f3245,plain,
    ( ~ spl0_43
    | spl0_2
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3210,f2004,f17,f3241]) ).

fof(f3210,plain,
    ( ! [X17] :
        ( is_a_theorem(X17)
        | ~ is_a_theorem(not(implies(z,implies(z,z)))) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3135,f1]) ).

fof(f3244,plain,
    ( spl0_15
    | ~ spl0_43
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3231,f2004,f1010,f3241,f597]) ).

fof(f3231,plain,
    ( ! [X76] :
        ( ~ is_a_theorem(not(implies(z,implies(z,z))))
        | ~ is_a_theorem(X76) )
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(resolution,[],[f3135,f1011]) ).

fof(f3239,plain,
    ( spl0_15
    | spl0_42
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f3229,f2004,f3237,f597]) ).

fof(f3237,plain,
    ( spl0_42
  <=> ! [X72,X71] : is_a_theorem(implies(implies(X71,X72),implies(not(implies(z,implies(z,z))),X72))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f3229,plain,
    ( ! [X72,X73,X71] :
        ( is_a_theorem(implies(implies(X71,X72),implies(not(implies(z,implies(z,z))),X72)))
        | ~ is_a_theorem(X73) )
    | ~ spl0_34 ),
    inference(resolution,[],[f3135,f193]) ).

fof(f2947,plain,
    ( spl0_41
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2894,f1568,f2944]) ).

fof(f2944,plain,
    ( spl0_41
  <=> ! [X18,X19,X20,X21] :
        ( ~ is_a_theorem(not(implies(X21,X19)))
        | is_a_theorem(implies(implies(not(implies(X18,X19)),implies(X18,X19)),X20))
        | ~ is_a_theorem(implies(X21,X18)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2894,plain,
    ( ! [X10,X11,X12,X13] :
        ( ~ is_a_theorem(not(implies(X13,X11)))
        | is_a_theorem(implies(implies(not(implies(X10,X11)),implies(X10,X11)),X12))
        | ~ is_a_theorem(implies(X13,X10)) )
    | ~ spl0_28 ),
    inference(resolution,[],[f150,f1569]) ).

fof(f150,plain,
    ! [X18,X16,X14,X17,X15] :
      ( ~ is_a_theorem(implies(implies(not(implies(X14,X16)),X17),X18))
      | is_a_theorem(implies(implies(not(implies(X15,X16)),implies(X15,X16)),X18))
      | ~ is_a_theorem(implies(X14,X15)) ),
    inference(resolution,[],[f51,f33]) ).

fof(f2946,plain,
    ( spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f2896,f2944,f597]) ).

fof(f2896,plain,
    ! [X21,X18,X19,X22,X20] :
      ( ~ is_a_theorem(not(implies(X21,X19)))
      | ~ is_a_theorem(implies(X21,X18))
      | ~ is_a_theorem(X22)
      | is_a_theorem(implies(implies(not(implies(X18,X19)),implies(X18,X19)),X20)) ),
    inference(resolution,[],[f150,f829]) ).

fof(f2354,plain,
    ( spl0_40
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2329,f2004,f2351]) ).

fof(f2329,plain,
    ( is_a_theorem(implies(z,implies(z,implies(z,z))))
    | ~ spl0_34 ),
    inference(resolution,[],[f2313,f2096]) ).

fof(f2246,plain,
    ( spl0_39
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2210,f2004,f2243]) ).

fof(f2243,plain,
    ( spl0_39
  <=> is_a_theorem(implies(z,implies(implies(not(z),z),z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2210,plain,
    ( is_a_theorem(implies(z,implies(implies(not(z),z),z)))
    | ~ spl0_34 ),
    inference(resolution,[],[f2096,f634]) ).

fof(f2131,plain,
    ( spl0_38
    | ~ spl0_36
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f2115,f2009,f2121,f2129]) ).

fof(f2121,plain,
    ( spl0_36
  <=> is_a_theorem(implies(not(z),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f2009,plain,
    ( spl0_35
  <=> is_a_theorem(implies(implies(not(z),z),implies(z,z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f2115,plain,
    ( ! [X7] :
        ( ~ is_a_theorem(implies(not(z),z))
        | is_a_theorem(implies(X7,implies(z,z))) )
    | ~ spl0_35 ),
    inference(resolution,[],[f2011,f116]) ).

fof(f2011,plain,
    ( is_a_theorem(implies(implies(not(z),z),implies(z,z)))
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f2009]) ).

fof(f2127,plain,
    ( ~ spl0_36
    | spl0_37
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f2119,f2009,f2125,f2121]) ).

fof(f2119,plain,
    ( ! [X15] :
        ( is_a_theorem(implies(implies(implies(z,z),X15),X15))
        | ~ is_a_theorem(implies(not(z),z)) )
    | ~ spl0_35 ),
    inference(resolution,[],[f2011,f436]) ).

fof(f2012,plain,
    ( spl0_35
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1988,f1973,f2009]) ).

fof(f1973,plain,
    ( spl0_32
  <=> is_a_theorem(implies(implies(not(z),y),implies(z,z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1988,plain,
    ( is_a_theorem(implies(implies(not(z),z),implies(z,z)))
    | ~ spl0_32 ),
    inference(resolution,[],[f1974,f98]) ).

fof(f1974,plain,
    ( is_a_theorem(implies(implies(not(z),y),implies(z,z)))
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f1973]) ).

fof(f2007,plain,
    ( spl0_34
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1990,f1973,f2004]) ).

fof(f1990,plain,
    ( is_a_theorem(implies(z,implies(z,z)))
    | ~ spl0_32 ),
    inference(resolution,[],[f1974,f31]) ).

fof(f1987,plain,
    spl0_33,
    inference(avatar_contradiction_clause,[],[f1985]) ).

fof(f1985,plain,
    ( $false
    | spl0_33 ),
    inference(resolution,[],[f1983,f35]) ).

fof(f1983,plain,
    ( ~ is_a_theorem(implies(z,z))
    | spl0_33 ),
    inference(avatar_component_clause,[],[f1981]) ).

fof(f1984,plain,
    ( ~ spl0_33
    | spl0_32 ),
    inference(avatar_split_clause,[],[f1979,f1973,f1981]) ).

fof(f1979,plain,
    ( ~ is_a_theorem(implies(z,z))
    | spl0_32 ),
    inference(resolution,[],[f1975,f90]) ).

fof(f1975,plain,
    ( ~ is_a_theorem(implies(implies(not(z),y),implies(z,z)))
    | spl0_32 ),
    inference(avatar_component_clause,[],[f1973]) ).

fof(f1976,plain,
    ( ~ spl0_31
    | ~ spl0_32
    | spl0_21 ),
    inference(avatar_split_clause,[],[f1940,f1217,f1973,f1969]) ).

fof(f1969,plain,
    ( spl0_31
  <=> is_a_theorem(implies(x,y)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1217,plain,
    ( spl0_21
  <=> is_a_theorem(implies(implies(y,z),implies(implies(not(z),y),implies(x,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1940,plain,
    ( ~ is_a_theorem(implies(implies(not(z),y),implies(z,z)))
    | ~ is_a_theorem(implies(x,y))
    | spl0_21 ),
    inference(resolution,[],[f161,f1219]) ).

fof(f1219,plain,
    ( ~ is_a_theorem(implies(implies(y,z),implies(implies(not(z),y),implies(x,z))))
    | spl0_21 ),
    inference(avatar_component_clause,[],[f1217]) ).

fof(f161,plain,
    ! [X8,X6,X7,X4,X5] :
      ( is_a_theorem(implies(implies(X8,X5),implies(X4,implies(X7,X6))))
      | ~ is_a_theorem(implies(X4,implies(X5,X6)))
      | ~ is_a_theorem(implies(X7,X8)) ),
    inference(resolution,[],[f41,f30]) ).

fof(f1647,plain,
    ( spl0_15
    | spl0_30 ),
    inference(avatar_split_clause,[],[f1604,f1645,f597]) ).

fof(f1645,plain,
    ( spl0_30
  <=> ! [X17,X14,X16,X15] :
        ( is_a_theorem(implies(implies(X15,X16),X17))
        | ~ is_a_theorem(not(implies(X14,X16)))
        | ~ is_a_theorem(implies(X14,X15)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1604,plain,
    ! [X18,X16,X14,X17,X15] :
      ( is_a_theorem(implies(implies(X15,X16),X17))
      | ~ is_a_theorem(X18)
      | ~ is_a_theorem(implies(X14,X15))
      | ~ is_a_theorem(not(implies(X14,X16))) ),
    inference(resolution,[],[f151,f829]) ).

fof(f151,plain,
    ! [X21,X19,X22,X23,X20] :
      ( ~ is_a_theorem(implies(implies(not(implies(X19,X21)),X23),X22))
      | ~ is_a_theorem(implies(X19,X20))
      | is_a_theorem(implies(implies(X20,X21),X22)) ),
    inference(resolution,[],[f51,f27]) ).

fof(f1577,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f1543,f1572]) ).

fof(f1572,plain,
    ( spl0_29
  <=> ! [X173,X172,X174] :
        ( is_a_theorem(implies(implies(implies(not(X172),X173),X174),X174))
        | ~ is_a_theorem(X172) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1543,plain,
    ! [X152,X150,X151] :
      ( is_a_theorem(implies(implies(implies(not(X150),X151),X152),X152))
      | ~ is_a_theorem(X150) ),
    inference(resolution,[],[f436,f4]) ).

fof(f1576,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f1544,f1564]) ).

fof(f1564,plain,
    ( spl0_27
  <=> ! [X164,X163,X162,X165] :
        ( ~ is_a_theorem(X162)
        | is_a_theorem(implies(implies(implies(not(implies(not(X162),X163)),X164),X165),X165)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1544,plain,
    ! [X155,X153,X156,X154] :
      ( is_a_theorem(implies(implies(implies(not(implies(not(X153),X154)),X155),X156),X156))
      | ~ is_a_theorem(X153) ),
    inference(resolution,[],[f436,f39]) ).

fof(f1575,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f1558,f1568]) ).

fof(f1558,plain,
    ! [X215,X216] :
      ( ~ is_a_theorem(X215)
      | is_a_theorem(implies(implies(X215,X216),X216)) ),
    inference(resolution,[],[f436,f35]) ).

fof(f1574,plain,
    ( spl0_15
    | spl0_29 ),
    inference(avatar_split_clause,[],[f1548,f1572,f597]) ).

fof(f1548,plain,
    ! [X174,X175,X172,X173] :
      ( is_a_theorem(implies(implies(implies(not(X172),X173),X174),X174))
      | ~ is_a_theorem(X175)
      | ~ is_a_theorem(X172) ),
    inference(resolution,[],[f436,f75]) ).

fof(f1570,plain,
    ( spl0_28
    | spl0_15 ),
    inference(avatar_split_clause,[],[f1559,f597,f1568]) ).

fof(f1559,plain,
    ! [X218,X219,X217] :
      ( ~ is_a_theorem(X219)
      | is_a_theorem(implies(implies(X217,X218),X218))
      | ~ is_a_theorem(X217) ),
    inference(resolution,[],[f436,f90]) ).

fof(f1566,plain,
    ( spl0_15
    | spl0_27 ),
    inference(avatar_split_clause,[],[f1546,f1564,f597]) ).

fof(f1546,plain,
    ! [X162,X163,X166,X164,X165] :
      ( ~ is_a_theorem(X162)
      | ~ is_a_theorem(X166)
      | is_a_theorem(implies(implies(implies(not(implies(not(X162),X163)),X164),X165),X165)) ),
    inference(resolution,[],[f436,f76]) ).

fof(f76,plain,
    ! [X10,X11,X12,X13] :
      ( is_a_theorem(implies(X10,implies(not(implies(not(X11),X12)),X13)))
      | ~ is_a_theorem(X11) ),
    inference(resolution,[],[f37,f57]) ).

fof(f57,plain,
    ! [X18,X19,X20] :
      ( is_a_theorem(implies(not(implies(not(X18),X19)),X20))
      | ~ is_a_theorem(X18) ),
    inference(resolution,[],[f39,f1]) ).

fof(f1440,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1378]) ).

fof(f1378,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f634]) ).

fof(f598,plain,
    ( ! [X73] : ~ is_a_theorem(X73)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f1439,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1406,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f573]) ).

fof(f573,plain,
    ! [X26,X24,X25,X23] : is_a_theorem(implies(X23,implies(implies(X24,X25),implies(not(X23),X26)))),
    inference(resolution,[],[f160,f42]) ).

fof(f42,plain,
    ! [X10,X11,X8,X9] : is_a_theorem(implies(implies(X8,X9),implies(not(implies(implies(X9,X10),implies(X8,X10))),X11))),
    inference(resolution,[],[f29,f4]) ).

fof(f160,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X3,implies(X0,implies(not(X3),X2)))) ),
    inference(resolution,[],[f41,f31]) ).

fof(f1438,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1407]) ).

fof(f1407,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f72]) ).

fof(f1437,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1391]) ).

fof(f1391,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f795]) ).

fof(f1436,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1397]) ).

fof(f1397,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f4]) ).

fof(f1435,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1410]) ).

fof(f1410,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f587]) ).

fof(f587,plain,
    ! [X76,X74,X75] : is_a_theorem(implies(X74,implies(X75,implies(not(X74),implies(not(X75),X76))))),
    inference(resolution,[],[f160,f36]) ).

fof(f1434,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1403]) ).

fof(f1403,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f36]) ).

fof(f1433,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1392]) ).

fof(f1392,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f359]) ).

fof(f1432,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1398]) ).

fof(f1398,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f39]) ).

fof(f1431,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1387]) ).

fof(f1387,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f107]) ).

fof(f107,plain,
    ! [X10,X11,X9,X12,X13] : is_a_theorem(implies(implies(X9,X10),implies(not(implies(implies(implies(X9,X11),X12),implies(implies(X10,X11),X12))),X13))),
    inference(resolution,[],[f42,f29]) ).

fof(f1430,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1390]) ).

fof(f1390,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f764]) ).

fof(f764,plain,
    ! [X6,X4,X5] : is_a_theorem(implies(implies(X4,not(X5)),implies(X5,implies(X4,X6)))),
    inference(resolution,[],[f630,f29]) ).

fof(f630,plain,
    ! [X38,X39,X37] : is_a_theorem(implies(implies(implies(not(X37),X38),X39),implies(X37,X39))),
    inference(resolution,[],[f177,f39]) ).

fof(f1429,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1385]) ).

fof(f1385,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f55]) ).

fof(f55,plain,
    ! [X10,X11,X9,X12,X13] : is_a_theorem(implies(implies(X9,X10),implies(not(implies(not(implies(implies(X10,X11),implies(X9,X11))),X12)),X13))),
    inference(resolution,[],[f39,f29]) ).

fof(f1428,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1382]) ).

fof(f1382,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f42]) ).

fof(f1427,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1375]) ).

fof(f1375,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f40]) ).

fof(f40,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
    inference(resolution,[],[f29,f2]) ).

fof(f1426,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1395]) ).

fof(f1395,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f630]) ).

fof(f1425,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1377]) ).

fof(f1377,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f69]) ).

fof(f69,plain,
    ! [X10,X11,X9,X12,X13] : is_a_theorem(implies(implies(X9,X10),implies(implies(X11,X12),implies(not(implies(implies(X10,X13),implies(X9,X13))),X12)))),
    inference(resolution,[],[f36,f29]) ).

fof(f1424,plain,
    ( ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1409]) ).

fof(f1409,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(resolution,[],[f598,f601]) ).

fof(f1423,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1373]) ).

fof(f1373,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f2]) ).

fof(f1422,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1363]) ).

fof(f1363,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f3]) ).

fof(f1421,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1412]) ).

fof(f1412,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f35]) ).

fof(f1420,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1404]) ).

fof(f1404,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f67]) ).

fof(f67,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(implies(not(X0),X3)),X2)))),
    inference(resolution,[],[f36,f31]) ).

fof(f1419,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1405]) ).

fof(f1405,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f153]) ).

fof(f153,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(not(X0),X1),X2),implies(implies(X3,X1),X2)))),
    inference(resolution,[],[f40,f31]) ).

fof(f1418,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1399]) ).

fof(f1399,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f53]) ).

fof(f1417,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f1401]) ).

fof(f1401,plain,
    ( $false
    | ~ spl0_15 ),
    inference(resolution,[],[f598,f105]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(not(implies(implies(X1,X2),implies(not(X0),X2))),X3))),
    inference(resolution,[],[f42,f31]) ).

fof(f1362,plain,
    ( spl0_26
    | spl0_15 ),
    inference(avatar_split_clause,[],[f1320,f597,f1360]) ).

fof(f1360,plain,
    ( spl0_26
  <=> ! [X11,X13,X14,X12] :
        ( ~ is_a_theorem(not(implies(implies(X12,X14),implies(X11,X14))))
        | is_a_theorem(implies(implies(X11,X12),X13)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1320,plain,
    ! [X11,X14,X15,X12,X13] :
      ( ~ is_a_theorem(X15)
      | ~ is_a_theorem(not(implies(implies(X12,X14),implies(X11,X14))))
      | is_a_theorem(implies(implies(X11,X12),X13)) ),
    inference(resolution,[],[f109,f829]) ).

fof(f109,plain,
    ! [X21,X19,X22,X23,X20] :
      ( ~ is_a_theorem(implies(implies(not(implies(implies(X20,X22),implies(X19,X22))),X23),X21))
      | is_a_theorem(implies(implies(X19,X20),X21)) ),
    inference(resolution,[],[f42,f27]) ).

fof(f1238,plain,
    ( ~ spl0_25
    | ~ spl0_23
    | spl0_8 ),
    inference(avatar_split_clause,[],[f1197,f167,f1226,f1235]) ).

fof(f1235,plain,
    ( spl0_25
  <=> is_a_theorem(implies(y,implies(implies(y,z),z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1226,plain,
    ( spl0_23
  <=> is_a_theorem(not(z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1197,plain,
    ( ~ is_a_theorem(not(z))
    | ~ is_a_theorem(implies(y,implies(implies(y,z),z)))
    | spl0_8 ),
    inference(resolution,[],[f140,f169]) ).

fof(f140,plain,
    ! [X26,X24,X25] :
      ( is_a_theorem(implies(implies(X26,X24),X25))
      | ~ is_a_theorem(implies(X24,X25))
      | ~ is_a_theorem(X26) ),
    inference(resolution,[],[f50,f90]) ).

fof(f1233,plain,
    ( ~ spl0_23
    | ~ spl0_24
    | spl0_5 ),
    inference(avatar_split_clause,[],[f1196,f123,f1230,f1226]) ).

fof(f1230,plain,
    ( spl0_24
  <=> is_a_theorem(implies(y,implies(x,z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f123,plain,
    ( spl0_5
  <=> is_a_theorem(implies(implies(not(z),y),implies(x,z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1196,plain,
    ( ~ is_a_theorem(implies(y,implies(x,z)))
    | ~ is_a_theorem(not(z))
    | spl0_5 ),
    inference(resolution,[],[f140,f125]) ).

fof(f125,plain,
    ( ~ is_a_theorem(implies(implies(not(z),y),implies(x,z)))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f1224,plain,
    ( ~ spl0_21
    | ~ spl0_22
    | spl0_1 ),
    inference(avatar_split_clause,[],[f1195,f7,f1221,f1217]) ).

fof(f1221,plain,
    ( spl0_22
  <=> is_a_theorem(x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f7,plain,
    ( spl0_1
  <=> is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1195,plain,
    ( ~ is_a_theorem(x)
    | ~ is_a_theorem(implies(implies(y,z),implies(implies(not(z),y),implies(x,z))))
    | spl0_1 ),
    inference(resolution,[],[f140,f9]) ).

fof(f9,plain,
    ( ~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z))))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f7]) ).

fof(f1021,plain,
    ( spl0_2
    | spl0_18 ),
    inference(avatar_split_clause,[],[f989,f1010,f17]) ).

fof(f989,plain,
    ! [X24,X25,X23] :
      ( ~ is_a_theorem(X24)
      | ~ is_a_theorem(X23)
      | ~ is_a_theorem(implies(X23,not(X24)))
      | is_a_theorem(X25) ),
    inference(resolution,[],[f829,f1]) ).

fof(f1020,plain,
    ( spl0_15
    | spl0_20 ),
    inference(avatar_split_clause,[],[f983,f1018,f597]) ).

fof(f1018,plain,
    ( spl0_20
  <=> ! [X2,X4] :
        ( ~ is_a_theorem(not(X2))
        | is_a_theorem(implies(implies(not(X2),X2),X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f983,plain,
    ! [X2,X3,X4] :
      ( ~ is_a_theorem(not(X2))
      | is_a_theorem(implies(implies(not(X2),X2),X4))
      | ~ is_a_theorem(X3) ),
    inference(resolution,[],[f829,f98]) ).

fof(f1016,plain,
    ( spl0_15
    | spl0_19 ),
    inference(avatar_split_clause,[],[f987,f1014,f597]) ).

fof(f1014,plain,
    ( spl0_19
  <=> ! [X18,X16,X15] :
        ( is_a_theorem(implies(implies(not(X15),X15),X18))
        | ~ is_a_theorem(not(implies(not(X15),X16))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f987,plain,
    ! [X18,X16,X17,X15] :
      ( is_a_theorem(implies(implies(not(X15),X15),X18))
      | ~ is_a_theorem(X17)
      | ~ is_a_theorem(not(implies(not(X15),X16))) ),
    inference(resolution,[],[f829,f99]) ).

fof(f99,plain,
    ! [X21,X19,X22,X20] :
      ( ~ is_a_theorem(implies(implies(not(implies(not(X19),X20)),X21),X22))
      | is_a_theorem(implies(implies(not(X19),X19),X22)) ),
    inference(resolution,[],[f33,f39]) ).

fof(f1012,plain,
    ( spl0_12
    | spl0_18 ),
    inference(avatar_split_clause,[],[f994,f1010,f497]) ).

fof(f994,plain,
    ! [X46,X44,X45,X43] :
      ( ~ is_a_theorem(X44)
      | is_a_theorem(implies(X45,X46))
      | ~ is_a_theorem(X43)
      | ~ is_a_theorem(implies(X43,not(X44))) ),
    inference(resolution,[],[f829,f116]) ).

fof(f1008,plain,
    ( spl0_17
    | spl0_15 ),
    inference(avatar_split_clause,[],[f988,f597,f1006]) ).

fof(f1006,plain,
    ( spl0_17
  <=> ! [X22,X20,X19] :
        ( is_a_theorem(implies(X19,X22))
        | ~ is_a_theorem(not(implies(not(X19),X20))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f988,plain,
    ! [X21,X19,X22,X20] :
      ( ~ is_a_theorem(X21)
      | is_a_theorem(implies(X19,X22))
      | ~ is_a_theorem(not(implies(not(X19),X20))) ),
    inference(resolution,[],[f829,f56]) ).

fof(f607,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f584,f600]) ).

fof(f584,plain,
    ! [X65,X66,X64] : is_a_theorem(implies(X64,implies(X65,implies(not(X64),X66)))),
    inference(resolution,[],[f160,f53]) ).

fof(f606,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f582,f600]) ).

fof(f582,plain,
    ! [X58,X59,X60] : is_a_theorem(implies(X58,implies(X59,implies(not(X58),X60)))),
    inference(resolution,[],[f160,f4]) ).

fof(f605,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f583,f600]) ).

fof(f583,plain,
    ! [X62,X63,X61] : is_a_theorem(implies(X61,implies(X62,implies(not(X61),X63)))),
    inference(resolution,[],[f160,f39]) ).

fof(f604,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f590,f600]) ).

fof(f590,plain,
    ! [X88,X86,X87] : is_a_theorem(implies(X86,implies(X87,implies(not(X86),X88)))),
    inference(resolution,[],[f160,f72]) ).

fof(f603,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f585,f600]) ).

fof(f585,plain,
    ! [X68,X69,X67] : is_a_theorem(implies(X67,implies(X68,implies(not(X67),X69)))),
    inference(resolution,[],[f160,f105]) ).

fof(f602,plain,
    ( spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f586,f600,f597]) ).

fof(f586,plain,
    ! [X72,X70,X73,X71] :
      ( is_a_theorem(implies(X70,implies(X71,implies(not(X70),X72))))
      | ~ is_a_theorem(X73) ),
    inference(resolution,[],[f160,f75]) ).

fof(f522,plain,
    ( spl0_2
    | spl0_14 ),
    inference(avatar_split_clause,[],[f514,f519,f17]) ).

fof(f519,plain,
    ( spl0_14
  <=> ! [X13] :
        ( ~ is_a_theorem(X13)
        | ~ is_a_theorem(implies(not(not(X13)),not(X13))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f514,plain,
    ! [X26,X27] :
      ( ~ is_a_theorem(X26)
      | is_a_theorem(X27)
      | ~ is_a_theorem(implies(not(not(X26)),not(X26))) ),
    inference(resolution,[],[f211,f1]) ).

fof(f211,plain,
    ! [X10,X11] :
      ( is_a_theorem(implies(implies(not(not(X10)),not(X10)),X11))
      | ~ is_a_theorem(X10) ),
    inference(resolution,[],[f72,f1]) ).

fof(f521,plain,
    ( spl0_12
    | spl0_14 ),
    inference(avatar_split_clause,[],[f510,f519,f497]) ).

fof(f510,plain,
    ! [X14,X15,X13] :
      ( ~ is_a_theorem(X13)
      | is_a_theorem(implies(X14,X15))
      | ~ is_a_theorem(implies(not(not(X13)),not(X13))) ),
    inference(resolution,[],[f211,f116]) ).

fof(f503,plain,
    ( spl0_13
    | spl0_2 ),
    inference(avatar_split_clause,[],[f492,f17,f500]) ).

fof(f500,plain,
    ( spl0_13
  <=> ! [X45,X48,X44] :
        ( ~ is_a_theorem(not(implies(implies(X45,X48),implies(X44,X48))))
        | ~ is_a_theorem(implies(X44,X45)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f492,plain,
    ! [X65,X68,X66,X67] :
      ( is_a_theorem(X68)
      | ~ is_a_theorem(not(implies(implies(X66,X67),implies(X65,X67))))
      | ~ is_a_theorem(implies(X65,X66)) ),
    inference(resolution,[],[f110,f1]) ).

fof(f110,plain,
    ! [X26,X27,X24,X25] :
      ( is_a_theorem(implies(not(implies(implies(X25,X26),implies(X24,X26))),X27))
      | ~ is_a_theorem(implies(X24,X25)) ),
    inference(resolution,[],[f42,f1]) ).

fof(f502,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f488,f500,f497]) ).

fof(f488,plain,
    ! [X48,X46,X47,X44,X45] :
      ( ~ is_a_theorem(not(implies(implies(X45,X48),implies(X44,X48))))
      | is_a_theorem(implies(X46,X47))
      | ~ is_a_theorem(implies(X44,X45)) ),
    inference(resolution,[],[f110,f116]) ).

fof(f229,plain,
    ( ~ spl0_11
    | spl0_10 ),
    inference(avatar_split_clause,[],[f224,f219,f226]) ).

fof(f226,plain,
    ( spl0_11
  <=> is_a_theorem(y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f219,plain,
    ( spl0_10
  <=> is_a_theorem(implies(not(z),y)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f224,plain,
    ( ~ is_a_theorem(y)
    | spl0_10 ),
    inference(resolution,[],[f221,f90]) ).

fof(f221,plain,
    ( ~ is_a_theorem(implies(not(z),y))
    | spl0_10 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f222,plain,
    ( ~ spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f216,f197,f219]) ).

fof(f197,plain,
    ( spl0_9
  <=> is_a_theorem(implies(implies(y,z),z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f216,plain,
    ( ~ is_a_theorem(implies(not(z),y))
    | spl0_9 ),
    inference(resolution,[],[f199,f47]) ).

fof(f199,plain,
    ( ~ is_a_theorem(implies(implies(y,z),z))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f200,plain,
    ( ~ spl0_9
    | spl0_8 ),
    inference(avatar_split_clause,[],[f195,f167,f197]) ).

fof(f195,plain,
    ( ~ is_a_theorem(implies(implies(y,z),z))
    | spl0_8 ),
    inference(resolution,[],[f169,f90]) ).

fof(f170,plain,
    ( ~ spl0_8
    | spl0_1 ),
    inference(avatar_split_clause,[],[f159,f7,f167]) ).

fof(f159,plain,
    ( ~ is_a_theorem(implies(implies(not(z),y),implies(implies(y,z),z)))
    | spl0_1 ),
    inference(resolution,[],[f41,f9]) ).

fof(f146,plain,
    ( ~ spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f141,f129,f143]) ).

fof(f129,plain,
    ( spl0_6
  <=> is_a_theorem(implies(x,z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f141,plain,
    ( ~ is_a_theorem(z)
    | spl0_6 ),
    inference(resolution,[],[f131,f90]) ).

fof(f131,plain,
    ( ~ is_a_theorem(implies(x,z))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f132,plain,
    ( ~ spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f127,f123,f129]) ).

fof(f127,plain,
    ( ~ is_a_theorem(implies(x,z))
    | spl0_5 ),
    inference(resolution,[],[f125,f90]) ).

fof(f126,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f111,f7,f123]) ).

fof(f111,plain,
    ( ~ is_a_theorem(implies(implies(not(z),y),implies(x,z)))
    | spl0_1 ),
    inference(resolution,[],[f90,f9]) ).

fof(f64,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f60,f62,f17]) ).

fof(f62,plain,
    ( spl0_4
  <=> ! [X6,X7] :
        ( ~ is_a_theorem(not(implies(not(X6),X7)))
        | ~ is_a_theorem(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f60,plain,
    ! [X8,X6,X7] :
      ( ~ is_a_theorem(not(implies(not(X6),X7)))
      | is_a_theorem(X8)
      | ~ is_a_theorem(X6) ),
    inference(resolution,[],[f57,f1]) ).

fof(f26,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f23]) ).

fof(f23,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f18,f9]) ).

fof(f18,plain,
    ( ! [X2] : is_a_theorem(X2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f22,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f15,f20,f17]) ).

fof(f20,plain,
    ( spl0_3
  <=> ! [X1] :
        ( ~ is_a_theorem(X1)
        | ~ is_a_theorem(not(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f15,plain,
    ! [X2,X1] :
      ( ~ is_a_theorem(X1)
      | is_a_theorem(X2)
      | ~ is_a_theorem(not(X1)) ),
    inference(resolution,[],[f12,f1]) ).

fof(f10,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f5,f7]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_45) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL384-1 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 01:55:40 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.55  % (8869)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.20/0.56  % (8873)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.56  % (8893)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.56  TRYING [1]
% 0.20/0.56  % (8885)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.56  TRYING [2]
% 0.20/0.56  TRYING [3]
% 0.20/0.57  % (8889)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.20/0.57  TRYING [4]
% 0.20/0.58  % (8872)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.58  % (8892)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.58  % (8874)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.58  % (8884)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.58  % (8875)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.58  TRYING [1]
% 0.20/0.58  TRYING [2]
% 0.20/0.59  TRYING [3]
% 0.20/0.59  % (8881)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.59  % (8891)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.20/0.59  % (8877)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.60  % (8876)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.60  % (8898)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.60  % (8870)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.60  % (8870)Refutation not found, incomplete strategy% (8870)------------------------------
% 0.20/0.60  % (8870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (8870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (8870)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60  
% 0.20/0.60  % (8870)Memory used [KB]: 5373
% 0.20/0.60  % (8870)Time elapsed: 0.185 s
% 0.20/0.60  % (8870)Instructions burned: 1 (million)
% 0.20/0.60  % (8870)------------------------------
% 0.20/0.60  % (8870)------------------------------
% 1.79/0.61  % (8871)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 1.79/0.61  % (8883)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 1.79/0.61  % (8882)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.79/0.61  % (8896)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 1.79/0.61  % (8877)Instruction limit reached!
% 1.79/0.61  % (8877)------------------------------
% 1.79/0.61  % (8877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61  % (8877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61  % (8877)Termination reason: Unknown
% 1.79/0.61  % (8877)Termination phase: Saturation
% 1.79/0.61  
% 1.79/0.61  % (8877)Memory used [KB]: 5373
% 1.79/0.61  % (8877)Time elapsed: 0.198 s
% 1.79/0.61  % (8877)Instructions burned: 2 (million)
% 1.79/0.61  % (8877)------------------------------
% 1.79/0.61  % (8877)------------------------------
% 1.79/0.61  % (8897)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.79/0.61  % (8890)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.79/0.61  % (8888)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.79/0.61  % (8887)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.79/0.62  % (8879)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.79/0.62  % (8880)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 2.14/0.63  % (8876)Instruction limit reached!
% 2.14/0.63  % (8876)------------------------------
% 2.14/0.63  % (8876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.63  % (8876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63  % (8876)Termination reason: Unknown
% 2.14/0.63  % (8876)Termination phase: Saturation
% 2.14/0.63  
% 2.14/0.63  % (8876)Memory used [KB]: 5500
% 2.14/0.63  % (8876)Time elapsed: 0.154 s
% 2.14/0.63  % (8876)Instructions burned: 7 (million)
% 2.14/0.63  % (8876)------------------------------
% 2.14/0.63  % (8876)------------------------------
% 2.14/0.63  % (8895)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 2.14/0.63  TRYING [4]
% 2.14/0.63  % (8894)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 2.14/0.63  % (8886)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 2.14/0.63  % (8878)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 2.14/0.63  TRYING [1]
% 2.14/0.63  TRYING [2]
% 2.14/0.64  TRYING [3]
% 2.39/0.66  % (8873)Instruction limit reached!
% 2.39/0.66  % (8873)------------------------------
% 2.39/0.66  % (8873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.66  TRYING [4]
% 2.39/0.68  % (8873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68  % (8873)Termination reason: Unknown
% 2.39/0.68  % (8873)Termination phase: Saturation
% 2.39/0.68  
% 2.39/0.68  % (8873)Memory used [KB]: 6652
% 2.39/0.68  % (8873)Time elapsed: 0.239 s
% 2.39/0.68  % (8873)Instructions burned: 52 (million)
% 2.39/0.68  % (8873)------------------------------
% 2.39/0.68  % (8873)------------------------------
% 2.39/0.68  % (8875)Instruction limit reached!
% 2.39/0.68  % (8875)------------------------------
% 2.39/0.68  % (8875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68  % (8875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68  % (8875)Termination reason: Unknown
% 2.39/0.68  % (8875)Termination phase: Finite model building SAT solving
% 2.39/0.68  
% 2.39/0.68  % (8875)Memory used [KB]: 6268
% 2.39/0.68  % (8875)Time elapsed: 0.235 s
% 2.39/0.68  % (8875)Instructions burned: 51 (million)
% 2.39/0.68  % (8875)------------------------------
% 2.39/0.68  % (8875)------------------------------
% 2.39/0.69  % (8871)Instruction limit reached!
% 2.39/0.69  % (8871)------------------------------
% 2.39/0.69  % (8871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.69  % (8871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.69  % (8871)Termination reason: Unknown
% 2.39/0.69  % (8871)Termination phase: Saturation
% 2.39/0.69  
% 2.39/0.69  % (8871)Memory used [KB]: 1663
% 2.39/0.69  % (8871)Time elapsed: 0.258 s
% 2.39/0.69  % (8871)Instructions burned: 38 (million)
% 2.39/0.69  % (8871)------------------------------
% 2.39/0.69  % (8871)------------------------------
% 2.39/0.71  % (8886)Instruction limit reached!
% 2.39/0.71  % (8886)------------------------------
% 2.39/0.71  % (8886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.71  % (8886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71  % (8886)Termination reason: Unknown
% 2.39/0.71  % (8886)Termination phase: Finite model building SAT solving
% 2.39/0.71  
% 2.39/0.71  % (8886)Memory used [KB]: 6652
% 2.39/0.71  % (8886)Time elapsed: 0.258 s
% 2.39/0.71  % (8886)Instructions burned: 60 (million)
% 2.39/0.71  % (8886)------------------------------
% 2.39/0.71  % (8886)------------------------------
% 2.39/0.72  % (8878)Instruction limit reached!
% 2.39/0.72  % (8878)------------------------------
% 2.39/0.72  % (8878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.73  % (8872)Instruction limit reached!
% 2.96/0.73  % (8872)------------------------------
% 2.96/0.73  % (8872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.73  % (8872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.73  % (8872)Termination reason: Unknown
% 2.96/0.73  % (8872)Termination phase: Saturation
% 2.96/0.73  
% 2.96/0.73  % (8872)Memory used [KB]: 6524
% 2.96/0.73  % (8872)Time elapsed: 0.322 s
% 2.96/0.73  % (8872)Instructions burned: 51 (million)
% 2.96/0.73  % (8872)------------------------------
% 2.96/0.73  % (8872)------------------------------
% 2.96/0.73  % (8874)Instruction limit reached!
% 2.96/0.73  % (8874)------------------------------
% 2.96/0.73  % (8874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.73  % (8874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.73  % (8874)Termination reason: Unknown
% 2.96/0.73  % (8874)Termination phase: Saturation
% 2.96/0.73  
% 2.96/0.73  % (8874)Memory used [KB]: 5884
% 2.96/0.73  % (8874)Time elapsed: 0.306 s
% 2.96/0.73  % (8874)Instructions burned: 48 (million)
% 2.96/0.73  % (8874)------------------------------
% 2.96/0.73  % (8874)------------------------------
% 2.96/0.74  % (8878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.74  % (8878)Termination reason: Unknown
% 2.96/0.74  % (8878)Termination phase: Saturation
% 2.96/0.74  
% 2.96/0.74  % (8878)Memory used [KB]: 1535
% 2.96/0.74  % (8878)Time elapsed: 0.291 s
% 2.96/0.74  % (8878)Instructions burned: 51 (million)
% 2.96/0.74  % (8878)------------------------------
% 2.96/0.74  % (8878)------------------------------
% 2.96/0.76  % (8879)Instruction limit reached!
% 2.96/0.76  % (8879)------------------------------
% 2.96/0.76  % (8879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.76  % (8879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.76  % (8879)Termination reason: Unknown
% 2.96/0.76  % (8879)Termination phase: Saturation
% 2.96/0.76  
% 2.96/0.76  % (8879)Memory used [KB]: 6012
% 2.96/0.76  % (8879)Time elapsed: 0.326 s
% 2.96/0.76  % (8879)Instructions burned: 50 (million)
% 2.96/0.76  % (8879)------------------------------
% 2.96/0.76  % (8879)------------------------------
% 2.96/0.76  % (8881)Instruction limit reached!
% 2.96/0.76  % (8881)------------------------------
% 2.96/0.76  % (8881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.76  % (8881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.76  % (8881)Termination reason: Unknown
% 2.96/0.76  % (8881)Termination phase: Saturation
% 2.96/0.76  
% 2.96/0.76  % (8881)Memory used [KB]: 6908
% 2.96/0.76  % (8881)Time elapsed: 0.339 s
% 2.96/0.76  % (8881)Instructions burned: 101 (million)
% 2.96/0.76  % (8881)------------------------------
% 2.96/0.76  % (8881)------------------------------
% 3.22/0.78  % (8895)Instruction limit reached!
% 3.22/0.78  % (8895)------------------------------
% 3.22/0.78  % (8895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.78  % (8895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.78  % (8895)Termination reason: Unknown
% 3.22/0.78  % (8895)Termination phase: Saturation
% 3.22/0.78  
% 3.22/0.78  % (8895)Memory used [KB]: 6652
% 3.22/0.78  % (8895)Time elapsed: 0.057 s
% 3.22/0.78  % (8895)Instructions burned: 68 (million)
% 3.22/0.78  % (8895)------------------------------
% 3.22/0.78  % (8895)------------------------------
% 3.22/0.79  % (8885)Instruction limit reached!
% 3.22/0.79  % (8885)------------------------------
% 3.22/0.79  % (8885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.79  % (8885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.79  % (8885)Termination reason: Unknown
% 3.22/0.79  % (8885)Termination phase: Saturation
% 3.22/0.79  
% 3.22/0.79  % (8885)Memory used [KB]: 6268
% 3.22/0.79  % (8885)Time elapsed: 0.357 s
% 3.22/0.79  % (8885)Instructions burned: 100 (million)
% 3.22/0.79  % (8885)------------------------------
% 3.22/0.79  % (8885)------------------------------
% 3.22/0.80  % (8884)Instruction limit reached!
% 3.22/0.80  % (8884)------------------------------
% 3.22/0.80  % (8884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.80  % (8884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.80  % (8884)Termination reason: Unknown
% 3.22/0.80  % (8884)Termination phase: Saturation
% 3.22/0.80  
% 3.22/0.80  % (8884)Memory used [KB]: 2686
% 3.22/0.80  % (8884)Time elapsed: 0.310 s
% 3.22/0.80  % (8884)Instructions burned: 75 (million)
% 3.22/0.80  % (8884)------------------------------
% 3.22/0.80  % (8884)------------------------------
% 3.22/0.80  % (8889)Instruction limit reached!
% 3.22/0.80  % (8889)------------------------------
% 3.22/0.80  % (8889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.80  % (8889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.80  % (8889)Termination reason: Unknown
% 3.22/0.80  % (8889)Termination phase: Saturation
% 3.22/0.80  
% 3.22/0.80  % (8889)Memory used [KB]: 6908
% 3.22/0.80  % (8889)Time elapsed: 0.377 s
% 3.22/0.80  % (8889)Instructions burned: 176 (million)
% 3.22/0.80  % (8889)------------------------------
% 3.22/0.80  % (8889)------------------------------
% 3.22/0.82  % (8883)Instruction limit reached!
% 3.22/0.82  % (8883)------------------------------
% 3.22/0.82  % (8883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.82  % (8883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.82  % (8883)Termination reason: Unknown
% 3.22/0.82  % (8883)Termination phase: Saturation
% 3.22/0.82  
% 3.22/0.82  % (8883)Memory used [KB]: 6652
% 3.22/0.82  % (8883)Time elapsed: 0.060 s
% 3.22/0.82  % (8883)Instructions burned: 69 (million)
% 3.22/0.82  % (8883)------------------------------
% 3.22/0.82  % (8883)------------------------------
% 3.22/0.83  % (8888)Instruction limit reached!
% 3.22/0.83  % (8888)------------------------------
% 3.22/0.83  % (8888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.83  % (8888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.83  % (8888)Termination reason: Unknown
% 3.22/0.83  % (8888)Termination phase: Saturation
% 3.22/0.83  
% 3.22/0.83  % (8888)Memory used [KB]: 1279
% 3.22/0.83  % (8888)Time elapsed: 0.400 s
% 3.22/0.83  % (8888)Instructions burned: 101 (million)
% 3.22/0.83  % (8888)------------------------------
% 3.22/0.83  % (8888)------------------------------
% 3.64/0.87  % (8933)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.64/0.87  % (8880)Instruction limit reached!
% 3.64/0.87  % (8880)------------------------------
% 3.64/0.87  % (8880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.64/0.87  % (8880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.64/0.87  % (8880)Termination reason: Unknown
% 3.64/0.87  % (8880)Termination phase: Saturation
% 3.64/0.87  
% 3.64/0.87  % (8880)Memory used [KB]: 7419
% 3.64/0.87  % (8880)Time elapsed: 0.456 s
% 3.64/0.87  % (8880)Instructions burned: 101 (million)
% 3.64/0.87  % (8880)------------------------------
% 3.64/0.87  % (8880)------------------------------
% 3.64/0.87  % (8953)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.64/0.87  % (8887)Instruction limit reached!
% 3.64/0.87  % (8887)------------------------------
% 3.64/0.87  % (8887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.64/0.87  % (8887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.64/0.87  % (8887)Termination reason: Unknown
% 3.64/0.87  % (8887)Termination phase: Saturation
% 3.64/0.87  
% 3.64/0.87  % (8887)Memory used [KB]: 7164
% 3.64/0.87  % (8887)Time elapsed: 0.461 s
% 3.64/0.87  % (8887)Instructions burned: 100 (million)
% 3.64/0.87  % (8887)------------------------------
% 3.64/0.87  % (8887)------------------------------
% 3.64/0.89  % (8931)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.64/0.92  % (8941)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.82/0.92  % (8938)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.82/0.92  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.82/0.92  % (8943)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.90/0.97  % (8936)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.90/0.98  % (8949)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.90/0.98  % (8932)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.90/0.98  % (8937)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.90/1.01  % (8960)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.90/1.02  % (8946)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.90/1.03  % (8896)Instruction limit reached!
% 3.90/1.03  % (8896)------------------------------
% 3.90/1.03  % (8896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/1.03  % (8896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/1.03  % (8896)Termination reason: Unknown
% 3.90/1.03  % (8896)Termination phase: Saturation
% 3.90/1.03  
% 3.90/1.03  % (8896)Memory used [KB]: 4733
% 3.90/1.03  % (8896)Time elapsed: 0.617 s
% 3.90/1.03  % (8896)Instructions burned: 177 (million)
% 3.90/1.03  % (8896)------------------------------
% 3.90/1.03  % (8896)------------------------------
% 4.08/1.04  % (8950)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 4.08/1.04  % (8962)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 4.08/1.05  % (8948)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.08/1.05  % (8941)Instruction limit reached!
% 4.08/1.05  % (8941)------------------------------
% 4.08/1.05  % (8941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.08/1.05  % (8941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.08/1.05  % (8941)Termination reason: Unknown
% 4.08/1.05  % (8941)Termination phase: Saturation
% 4.08/1.05  
% 4.08/1.05  % (8941)Memory used [KB]: 6524
% 4.08/1.05  % (8941)Time elapsed: 0.050 s
% 4.08/1.05  % (8941)Instructions burned: 69 (million)
% 4.08/1.05  % (8941)------------------------------
% 4.08/1.05  % (8941)------------------------------
% 4.08/1.06  % (8882)Instruction limit reached!
% 4.08/1.06  % (8882)------------------------------
% 4.08/1.06  % (8882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.08/1.06  % (8882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.08/1.06  % (8882)Termination reason: Unknown
% 4.08/1.06  % (8882)Termination phase: Saturation
% 4.08/1.06  
% 4.08/1.06  % (8882)Memory used [KB]: 6908
% 4.08/1.06  % (8882)Time elapsed: 0.652 s
% 4.08/1.06  % (8882)Instructions burned: 99 (million)
% 4.08/1.06  % (8882)------------------------------
% 4.08/1.06  % (8882)------------------------------
% 4.29/1.09  % (8933)Instruction limit reached!
% 4.29/1.09  % (8933)------------------------------
% 4.29/1.09  % (8933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.29/1.09  % (8933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.29/1.09  % (8933)Termination reason: Unknown
% 4.29/1.09  % (8933)Termination phase: Saturation
% 4.29/1.09  
% 4.29/1.09  % (8933)Memory used [KB]: 6012
% 4.29/1.09  % (8933)Time elapsed: 0.410 s
% 4.29/1.09  % (8933)Instructions burned: 90 (million)
% 4.29/1.09  % (8933)------------------------------
% 4.29/1.09  % (8933)------------------------------
% 4.29/1.10  % (8960)Instruction limit reached!
% 4.29/1.10  % (8960)------------------------------
% 4.29/1.10  % (8960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.29/1.10  % (8960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.29/1.10  % (8960)Termination reason: Unknown
% 4.29/1.10  % (8960)Termination phase: Saturation
% 4.29/1.10  
% 4.29/1.10  % (8960)Memory used [KB]: 6524
% 4.29/1.10  % (8960)Time elapsed: 0.048 s
% 4.29/1.10  % (8960)Instructions burned: 68 (million)
% 4.29/1.10  % (8960)------------------------------
% 4.29/1.10  % (8960)------------------------------
% 4.29/1.11  % (8940)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 4.29/1.12  TRYING [5]
% 4.29/1.13  % (8942)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 4.29/1.14  % (8956)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 4.29/1.14  % (8963)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 4.29/1.15  % (8890)Instruction limit reached!
% 4.29/1.15  % (8890)------------------------------
% 4.29/1.15  % (8890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.29/1.15  % (8890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.29/1.15  % (8890)Termination reason: Unknown
% 4.29/1.15  % (8890)Termination phase: Saturation
% 4.29/1.15  
% 4.29/1.15  % (8890)Memory used [KB]: 7164
% 4.29/1.15  % (8890)Time elapsed: 0.701 s
% 4.29/1.15  % (8890)Instructions burned: 138 (million)
% 4.29/1.15  % (8890)------------------------------
% 4.29/1.15  % (8890)------------------------------
% 6.37/1.17  % (8945)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 6.61/1.24  % (8973)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/90Mi)
% 7.13/1.30  % (8975)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 7.53/1.31  % (8971)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 7.53/1.32  % (8972)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4585Mi)
% 7.87/1.35  % (8974)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2016Mi)
% 7.87/1.40  % (8973)Instruction limit reached!
% 7.87/1.40  % (8973)------------------------------
% 7.87/1.40  % (8973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.87/1.40  % (8973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.87/1.40  % (8973)Termination reason: Unknown
% 7.87/1.40  % (8973)Termination phase: Saturation
% 7.87/1.40  
% 7.87/1.40  % (8973)Memory used [KB]: 6908
% 7.87/1.40  % (8973)Time elapsed: 0.289 s
% 7.87/1.40  % (8973)Instructions burned: 90 (million)
% 7.87/1.40  % (8973)------------------------------
% 7.87/1.40  % (8973)------------------------------
% 8.90/1.51  % (8945)Instruction limit reached!
% 8.90/1.51  % (8945)------------------------------
% 8.90/1.51  % (8945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.90/1.51  % (8945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.90/1.51  % (8945)Termination reason: Unknown
% 8.90/1.51  % (8945)Termination phase: Saturation
% 8.90/1.51  
% 8.90/1.51  % (8945)Memory used [KB]: 6012
% 8.90/1.51  % (8945)Time elapsed: 0.689 s
% 8.90/1.51  % (8945)Instructions burned: 91 (million)
% 8.90/1.51  % (8945)------------------------------
% 8.90/1.51  % (8945)------------------------------
% 9.39/1.56  % (8981)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9965Mi)
% 9.46/1.57  % (8893)Instruction limit reached!
% 9.46/1.57  % (8893)------------------------------
% 9.46/1.57  % (8893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.46/1.57  % (8893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.46/1.57  % (8893)Termination reason: Unknown
% 9.46/1.57  % (8893)Termination phase: Saturation
% 9.46/1.57  
% 9.46/1.57  % (8893)Memory used [KB]: 11385
% 9.46/1.57  % (8893)Time elapsed: 1.160 s
% 9.46/1.57  % (8893)Instructions burned: 482 (million)
% 9.46/1.57  % (8893)------------------------------
% 9.46/1.57  % (8893)------------------------------
% 9.46/1.59  % (8986)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9877Mi)
% 11.17/1.77  % (8990)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1824Mi)
% 11.17/1.78  % (8892)Instruction limit reached!
% 11.17/1.78  % (8892)------------------------------
% 11.17/1.78  % (8892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.17/1.78  % (8892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.17/1.78  % (8892)Termination reason: Unknown
% 11.17/1.78  % (8892)Termination phase: Saturation
% 11.17/1.78  
% 11.17/1.78  % (8892)Memory used [KB]: 10618
% 11.17/1.78  % (8892)Time elapsed: 1.316 s
% 11.17/1.78  % (8892)Instructions burned: 467 (million)
% 11.17/1.78  % (8892)------------------------------
% 11.17/1.78  % (8892)------------------------------
% 11.17/1.79  % (8932)Instruction limit reached!
% 11.17/1.79  % (8932)------------------------------
% 11.17/1.79  % (8932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.17/1.79  % (8932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.17/1.79  % (8932)Termination reason: Unknown
% 11.17/1.79  % (8932)Termination phase: Saturation
% 11.17/1.79  
% 11.17/1.79  % (8932)Memory used [KB]: 2686
% 11.17/1.79  % (8932)Time elapsed: 1.108 s
% 11.17/1.79  % (8932)Instructions burned: 211 (million)
% 11.17/1.79  % (8932)------------------------------
% 11.17/1.79  % (8932)------------------------------
% 11.59/1.82  % (8897)Instruction limit reached!
% 11.59/1.82  % (8897)------------------------------
% 11.59/1.82  % (8897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.59/1.82  % (8897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.59/1.82  % (8897)Termination reason: Unknown
% 11.59/1.82  % (8897)Termination phase: Saturation
% 11.59/1.82  
% 11.59/1.82  % (8897)Memory used [KB]: 14583
% 11.59/1.82  % (8897)Time elapsed: 1.374 s
% 11.59/1.82  % (8897)Instructions burned: 440 (million)
% 11.59/1.82  % (8897)------------------------------
% 11.59/1.82  % (8897)------------------------------
% 11.83/1.89  % (8894)Instruction limit reached!
% 11.83/1.89  % (8894)------------------------------
% 11.83/1.89  % (8894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.83/1.89  % (8894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.83/1.89  % (8894)Termination reason: Unknown
% 11.83/1.89  % (8894)Termination phase: Saturation
% 11.83/1.89  
% 11.83/1.89  % (8894)Memory used [KB]: 10874
% 11.83/1.89  % (8894)Time elapsed: 1.468 s
% 11.83/1.89  % (8894)Instructions burned: 500 (million)
% 11.83/1.89  % (8894)------------------------------
% 11.83/1.89  % (8894)------------------------------
% 11.83/1.91  % (8988)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9902Mi)
% 12.85/2.04  % (8992)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/9989Mi)
% 12.85/2.04  % (8931)Instruction limit reached!
% 12.85/2.04  % (8931)------------------------------
% 12.85/2.04  % (8931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.85/2.04  % (8931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.85/2.04  % (8931)Termination reason: Unknown
% 12.85/2.04  % (8931)Termination phase: Saturation
% 12.85/2.04  
% 12.85/2.04  % (8931)Memory used [KB]: 8315
% 12.85/2.04  % (8931)Time elapsed: 1.378 s
% 12.85/2.04  % (8931)Instructions burned: 388 (million)
% 12.85/2.04  % (8931)------------------------------
% 12.85/2.04  % (8931)------------------------------
% 13.39/2.08  % (8898)Instruction limit reached!
% 13.39/2.08  % (8898)------------------------------
% 13.39/2.08  % (8898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.39/2.08  % (8898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.39/2.08  % (8898)Termination reason: Unknown
% 13.39/2.08  % (8898)Termination phase: Saturation
% 13.39/2.08  
% 13.39/2.08  % (8898)Memory used [KB]: 11001
% 13.39/2.08  % (8898)Time elapsed: 1.672 s
% 13.39/2.08  % (8898)Instructions burned: 356 (million)
% 13.39/2.08  % (8898)------------------------------
% 13.39/2.08  % (8898)------------------------------
% 13.39/2.10  % (8995)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/90Mi)
% 13.39/2.11  % (8891)Instruction limit reached!
% 13.39/2.11  % (8891)------------------------------
% 13.39/2.11  % (8891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.39/2.11  % (8891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.39/2.11  % (8891)Termination reason: Unknown
% 13.39/2.11  % (8891)Termination phase: Saturation
% 13.39/2.11  
% 13.39/2.11  % (8891)Memory used [KB]: 6396
% 13.39/2.11  % (8891)Time elapsed: 1.684 s
% 13.39/2.11  % (8891)Instructions burned: 499 (million)
% 13.39/2.11  % (8891)------------------------------
% 13.39/2.11  % (8891)------------------------------
% 13.97/2.16  % (8993)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/9707Mi)
% 13.97/2.17  % (8996)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/44001Mi)
% 15.35/2.33  % (8995)Instruction limit reached!
% 15.35/2.33  % (8995)------------------------------
% 15.35/2.33  % (8995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.35/2.33  % (8995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.35/2.33  % (8995)Termination reason: Unknown
% 15.35/2.33  % (8995)Termination phase: Saturation
% 15.35/2.33  
% 15.35/2.33  % (8995)Memory used [KB]: 6908
% 15.35/2.33  % (8995)Time elapsed: 0.403 s
% 15.35/2.33  % (8995)Instructions burned: 91 (million)
% 15.35/2.33  % (8995)------------------------------
% 15.35/2.33  % (8995)------------------------------
% 16.12/2.40  % (9000)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/4958Mi)
% 16.37/2.45  % (9002)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/32293Mi)
% 16.37/2.49  % (9001)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/35256Mi)
% 17.63/2.59  % (9004)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/37001Mi)
% 18.67/2.80  % (8938)Instruction limit reached!
% 18.67/2.80  % (8938)------------------------------
% 18.67/2.80  % (8938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.67/2.80  % (8938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.67/2.80  % (8938)Termination reason: Unknown
% 18.67/2.80  % (8938)Termination phase: Saturation
% 18.67/2.80  
% 18.67/2.80  % (8938)Memory used [KB]: 10490
% 18.67/2.80  % (8938)Time elapsed: 2.052 s
% 18.67/2.80  % (8938)Instructions burned: 748 (million)
% 18.67/2.80  % (8938)------------------------------
% 18.67/2.80  % (8938)------------------------------
% 21.05/3.07  % (9008)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/10187Mi)
% 25.16/3.53  % (8940)Instruction limit reached!
% 25.16/3.53  % (8940)------------------------------
% 25.16/3.53  % (8940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.16/3.53  % (8940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.16/3.53  % (8940)Termination reason: Unknown
% 25.16/3.53  % (8940)Termination phase: Saturation
% 25.16/3.53  
% 25.16/3.53  % (8940)Memory used [KB]: 7419
% 25.16/3.53  % (8940)Time elapsed: 2.763 s
% 25.16/3.53  % (8940)Instructions burned: 656 (million)
% 25.16/3.53  % (8940)------------------------------
% 25.16/3.53  % (8940)------------------------------
% 25.25/3.55  % (8943)Instruction limit reached!
% 25.25/3.55  % (8943)------------------------------
% 25.25/3.55  % (8943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.25/3.55  % (8943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.25/3.55  % (8943)Termination reason: Unknown
% 25.25/3.55  % (8943)Termination phase: Saturation
% 25.25/3.55  
% 25.25/3.55  % (8943)Memory used [KB]: 19061
% 25.25/3.55  % (8943)Time elapsed: 2.751 s
% 25.25/3.55  % (8943)Instructions burned: 982 (million)
% 25.25/3.55  % (8943)------------------------------
% 25.25/3.55  % (8943)------------------------------
% 27.15/3.82  % (9013)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/10147Mi)
% 28.04/3.92  % (8962)First to succeed.
% 28.04/3.95  % (8962)Refutation found. Thanks to Tanya!
% 28.04/3.95  % SZS status Unsatisfiable for theBenchmark
% 28.04/3.95  % SZS output start Proof for theBenchmark
% See solution above
% 28.04/3.96  % (8962)------------------------------
% 28.04/3.96  % (8962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.04/3.96  % (8962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.04/3.96  % (8962)Termination reason: Refutation
% 28.04/3.96  
% 28.04/3.96  % (8962)Memory used [KB]: 12153
% 28.04/3.96  % (8962)Time elapsed: 2.952 s
% 28.04/3.96  % (8962)Instructions burned: 1499 (million)
% 28.04/3.96  % (8962)------------------------------
% 28.04/3.96  % (8962)------------------------------
% 28.04/3.96  % (8868)Success in time 3.6 s
%------------------------------------------------------------------------------