TSTP Solution File: SWW096+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW096+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : n018.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 19:18:29 EDT 2022

% Result   : Theorem 30.71s 4.26s
% Output   : Refutation 30.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :  180
% Syntax   : Number of formulae    : 1396 (  88 unt;   0 def)
%            Number of atoms       : 4116 (1073 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 4915 (2195   ~;2511   |;  38   &)
%                                         ( 146 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :  146 ( 144 usr; 142 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  16 con; 0-3 aty)
%            Number of variables   :  443 ( 426   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f60912,plain,
    $false,
    inference(avatar_sat_refutation,[],[f354,f395,f407,f446,f499,f504,f515,f736,f747,f756,f826,f923,f971,f1028,f1037,f1052,f1473,f1474,f1484,f1611,f1656,f1665,f1687,f1915,f1990,f2163,f2771,f2822,f2858,f2911,f2917,f2963,f2968,f2985,f3034,f3251,f3299,f3398,f3535,f3584,f3657,f3913,f4136,f4141,f4153,f4272,f4453,f4454,f4457,f4458,f4793,f5410,f5449,f5607,f5788,f6409,f6439,f6525,f6549,f7126,f7127,f7143,f7244,f7245,f7249,f7336,f7341,f7353,f7358,f7481,f8559,f8665,f8739,f8919,f8972,f9009,f9011,f9026,f9064,f9065,f9095,f9164,f9248,f9371,f9513,f9537,f9660,f9663,f9796,f9838,f9931,f10324,f12527,f15672,f15676,f16980,f17214,f17791,f29686,f29807,f29865,f29892,f31220,f31229,f31395,f31437,f31541,f31661,f33241,f33278,f33351,f33355,f33414,f33632,f34083,f34101,f34128,f34940,f35064,f35954,f38469,f38525,f38562,f38610,f38644,f38728,f38819,f38852,f38893,f38903,f39058,f39247,f39275,f39302,f39315,f39558,f39873,f39913,f40397,f40447,f40704,f40722,f40746,f40760,f40885,f40939,f40964,f41038,f41119,f41121,f41294,f41692,f41883,f42070,f42268,f42358,f42473,f42589,f42705,f42843,f42913,f43121,f43662,f43713,f43729,f43734,f43885,f44114,f44132,f44164,f44166,f44200,f44392,f44433,f44444,f44484,f44844,f45030,f45320,f45565,f46960,f47178,f47831,f48806,f48897,f48928,f48931,f48935,f48937,f48938,f49253,f49259,f49401,f49409,f49416,f49418,f49427,f49462,f49466,f49517,f50705,f50715,f51257,f51284,f51295,f51306,f51318,f51335,f51441,f51461,f51725,f51900,f51981,f52022,f52076,f52401,f52412,f52459,f53890,f53957,f54060,f54069,f54071,f54081,f54146,f54297,f55744,f55997,f56030,f56072,f56115,f56250,f56253,f56311,f56544,f56580,f56705,f56751,f56753,f56777,f56793,f56806,f58693,f58807,f58823,f58855,f59092,f59116,f59207,f59258,f59521,f59575,f59978,f59981,f60082,f60102,f60214,f60496,f60655,f60769]) ).

fof(f60769,plain,
    ( spl17_102
    | spl17_33
    | ~ spl17_54 ),
    inference(avatar_split_clause,[],[f60115,f1808,f1383,f5230]) ).

fof(f5230,plain,
    ( spl17_102
  <=> err = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_102])]) ).

fof(f1383,plain,
    ( spl17_33
  <=> true = prop(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).

fof(f1808,plain,
    ( spl17_54
  <=> err = not1(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_54])]) ).

fof(f60115,plain,
    ( true = prop(sK6)
    | err = sF12
    | ~ spl17_54 ),
    inference(forward_demodulation,[],[f12757,f1810]) ).

fof(f1810,plain,
    ( err = not1(sK6)
    | ~ spl17_54 ),
    inference(avatar_component_clause,[],[f1808]) ).

fof(f12757,plain,
    ( sF12 = not1(sK6)
    | true = prop(sK6) ),
    inference(superposition,[],[f10698,f231]) ).

fof(f231,plain,
    sF12 = impl(sK6,sF11),
    introduced(function_definition,[]) ).

fof(f10698,plain,
    ! [X6,X7] :
      ( impl(X6,X7) = not1(X6)
      | true = prop(X6) ),
    inference(duplicate_literal_removal,[],[f10671]) ).

fof(f10671,plain,
    ! [X6,X7] :
      ( true = prop(X6)
      | true = prop(X6)
      | impl(X6,X7) = not1(X6) ),
    inference(superposition,[],[f302,f679]) ).

fof(f679,plain,
    ! [X6,X7] :
      ( impl(X6,X7) = lazy_impl(true,X6)
      | true = prop(X6) ),
    inference(resolution,[],[f212,f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = prop(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( true = prop(X0)
    <=> bool(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop_true) ).

fof(f212,plain,
    ! [X0,X1] :
      ( bool(X1)
      | lazy_impl(true,X1) = impl(X1,X0) ),
    inference(definition_unfolding,[],[f162,f121]) ).

fof(f121,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : phi(X3) = lazy_impl(true,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lazy_impl_axiom3) ).

fof(f162,plain,
    ! [X0,X1] :
      ( bool(X1)
      | impl(X1,X0) = phi(X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( impl(X1,X0) = phi(X1)
      | bool(X1) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X1,X0] :
      ( ~ bool(X1)
     => impl(X1,X0) = phi(X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X3,X2] :
      ( ~ bool(X2)
     => impl(X2,X3) = phi(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom1) ).

fof(f302,plain,
    ! [X3] :
      ( lazy_impl(true,X3) = not1(X3)
      | true = prop(X3) ),
    inference(resolution,[],[f200,f165]) ).

fof(f200,plain,
    ! [X0] :
      ( bool(X0)
      | lazy_impl(true,X0) = not1(X0) ),
    inference(definition_unfolding,[],[f140,f121]) ).

fof(f140,plain,
    ! [X0] :
      ( bool(X0)
      | phi(X0) = not1(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( phi(X0) = not1(X0)
      | bool(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ bool(X0)
     => phi(X0) = not1(X0) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X2] :
      ( ~ bool(X2)
     => phi(X2) = not1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1_axiom1) ).

fof(f60655,plain,
    ( spl17_37
    | ~ spl17_2
    | ~ spl17_568 ),
    inference(avatar_split_clause,[],[f60654,f52070,f249,f1417]) ).

fof(f1417,plain,
    ( spl17_37
  <=> true = false1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_37])]) ).

fof(f249,plain,
    ( spl17_2
  <=> true = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

fof(f52070,plain,
    ( spl17_568
  <=> false1 = prop(sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_568])]) ).

fof(f60654,plain,
    ( true = false1
    | ~ spl17_2
    | ~ spl17_568 ),
    inference(forward_demodulation,[],[f53479,f250]) ).

fof(f250,plain,
    ( true = sF10
    | ~ spl17_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f53479,plain,
    ( false1 = sF10
    | ~ spl17_568 ),
    inference(superposition,[],[f52072,f229]) ).

fof(f229,plain,
    prop(sF9) = sF10,
    introduced(function_definition,[]) ).

fof(f52072,plain,
    ( false1 = prop(sF9)
    | ~ spl17_568 ),
    inference(avatar_component_clause,[],[f52070]) ).

fof(f60496,plain,
    ( spl17_126
    | ~ spl17_112
    | ~ spl17_542 ),
    inference(avatar_split_clause,[],[f58351,f49012,f6436,f7497]) ).

fof(f7497,plain,
    ( spl17_126
  <=> err = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_126])]) ).

fof(f6436,plain,
    ( spl17_112
  <=> sF9 = lazy_impl(true,sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_112])]) ).

fof(f49012,plain,
    ( spl17_542
  <=> err = lazy_impl(true,sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_542])]) ).

fof(f58351,plain,
    ( err = sF9
    | ~ spl17_112
    | ~ spl17_542 ),
    inference(superposition,[],[f6438,f49014]) ).

fof(f49014,plain,
    ( err = lazy_impl(true,sF9)
    | ~ spl17_542 ),
    inference(avatar_component_clause,[],[f49012]) ).

fof(f6438,plain,
    ( sF9 = lazy_impl(true,sF9)
    | ~ spl17_112 ),
    inference(avatar_component_clause,[],[f6436]) ).

fof(f60214,plain,
    ( spl17_123
    | ~ spl17_272 ),
    inference(avatar_split_clause,[],[f52842,f31574,f7355]) ).

fof(f7355,plain,
    ( spl17_123
  <=> lazy_impl(true,sF11) = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_123])]) ).

fof(f31574,plain,
    ( spl17_272
  <=> d(sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_272])]) ).

fof(f52842,plain,
    ( lazy_impl(true,sF11) = sF11
    | ~ spl17_272 ),
    inference(resolution,[],[f31575,f189]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ d(X0)
      | lazy_impl(true,X0) = X0 ),
    inference(definition_unfolding,[],[f124,f121]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ d(X0)
      | phi(X0) = X0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( phi(X0) = X0
        & d(X0) )
      | ( err = phi(X0)
        & ~ d(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_phi) ).

fof(f31575,plain,
    ( d(sF11)
    | ~ spl17_272 ),
    inference(avatar_component_clause,[],[f31574]) ).

fof(f60102,plain,
    ( spl17_37
    | spl17_503
    | ~ spl17_50 ),
    inference(avatar_split_clause,[],[f59566,f1606,f43706,f1417]) ).

fof(f43706,plain,
    ( spl17_503
  <=> impl(false1,sK5) = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_503])]) ).

fof(f1606,plain,
    ( spl17_50
  <=> false1 = prop(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_50])]) ).

fof(f59566,plain,
    ( impl(false1,sK5) = sF11
    | true = false1
    | ~ spl17_50 ),
    inference(forward_demodulation,[],[f15564,f1608]) ).

fof(f1608,plain,
    ( false1 = prop(sK5)
    | ~ spl17_50 ),
    inference(avatar_component_clause,[],[f1606]) ).

fof(f15564,plain,
    ( true = prop(sK5)
    | impl(false1,sK5) = sF11 ),
    inference(superposition,[],[f230,f13238]) ).

fof(f13238,plain,
    ! [X8,X9] :
      ( impl(false1,X8) = impl(X8,X9)
      | true = prop(X8) ),
    inference(duplicate_literal_removal,[],[f13172]) ).

fof(f13172,plain,
    ! [X8,X9] :
      ( impl(false1,X8) = impl(X8,X9)
      | true = prop(X8)
      | true = prop(X8) ),
    inference(superposition,[],[f1273,f679]) ).

fof(f1273,plain,
    ! [X3] :
      ( lazy_impl(true,X3) = impl(false1,X3)
      | true = prop(X3) ),
    inference(resolution,[],[f1267,f165]) ).

fof(f1267,plain,
    ! [X30] :
      ( bool(X30)
      | impl(false1,X30) = lazy_impl(true,X30) ),
    inference(resolution,[],[f220,f226]) ).

fof(f226,plain,
    bool(false1),
    inference(equality_resolution,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( bool(X0)
      | false1 != X0 ),
    inference(definition_unfolding,[],[f172,f113]) ).

fof(f113,plain,
    false = false1,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    false = false1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_false1) ).

fof(f172,plain,
    ! [X0] :
      ( bool(X0)
      | false != X0 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ( false = X0
        | true = X0 )
    <=> bool(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_bool) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
      | bool(X1)
      | lazy_impl(true,X1) = impl(X0,X1) ),
    inference(definition_unfolding,[],[f175,f121]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( bool(X1)
      | phi(X1) = impl(X0,X1)
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X1,X0] :
      ( ~ bool(X0)
      | phi(X1) = impl(X0,X1)
      | bool(X1) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X1,X0] :
      ( phi(X1) = impl(X0,X1)
      | ~ bool(X0)
      | bool(X1) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X1,X0] :
      ( ( bool(X0)
        & ~ bool(X1) )
     => phi(X1) = impl(X0,X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X2,X3] :
      ( ( bool(X2)
        & ~ bool(X3) )
     => impl(X2,X3) = phi(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom2) ).

fof(f230,plain,
    impl(sK5,sF9) = sF11,
    introduced(function_definition,[]) ).

fof(f60082,plain,
    ( spl17_123
    | ~ spl17_125
    | spl17_273 ),
    inference(avatar_split_clause,[],[f60081,f31578,f7474,f7355]) ).

fof(f7474,plain,
    ( spl17_125
  <=> not1(sF11) = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_125])]) ).

fof(f31578,plain,
    ( spl17_273
  <=> bool(sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_273])]) ).

fof(f60081,plain,
    ( lazy_impl(true,sF11) = sF11
    | ~ spl17_125
    | spl17_273 ),
    inference(forward_demodulation,[],[f52845,f7476]) ).

fof(f7476,plain,
    ( not1(sF11) = sF11
    | ~ spl17_125 ),
    inference(avatar_component_clause,[],[f7474]) ).

fof(f52845,plain,
    ( not1(sF11) = lazy_impl(true,sF11)
    | spl17_273 ),
    inference(resolution,[],[f31579,f200]) ).

fof(f31579,plain,
    ( ~ bool(sF11)
    | spl17_273 ),
    inference(avatar_component_clause,[],[f31578]) ).

fof(f59981,plain,
    ( ~ spl17_11
    | spl17_67
    | ~ spl17_68
    | ~ spl17_64
    | ~ spl17_79
    | ~ spl17_212
    | ~ spl17_324
    | ~ spl17_336
    | ~ spl17_337
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f59979,f45315,f38835,f38829,f38545,f17789,f3905,f2747,f2793,f2789,f401]) ).

fof(f401,plain,
    ( spl17_11
  <=> d(true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).

fof(f2789,plain,
    ( spl17_67
  <=> bool(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_67])]) ).

fof(f2793,plain,
    ( spl17_68
  <=> d(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_68])]) ).

fof(f2747,plain,
    ( spl17_64
  <=> bool(true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_64])]) ).

fof(f3905,plain,
    ( spl17_79
  <=> sF12 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_79])]) ).

fof(f17789,plain,
    ( spl17_212
  <=> ! [X2] : true = prop(sK3(err,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_212])]) ).

fof(f38545,plain,
    ( spl17_324
  <=> ! [X1] : impl(sF11,X1) = lazy_impl(true,impl(sF11,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_324])]) ).

fof(f38829,plain,
    ( spl17_336
  <=> ! [X47] : impl(sK5,X47) = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_336])]) ).

fof(f38835,plain,
    ( spl17_337
  <=> sK5 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_337])]) ).

fof(f45315,plain,
    ( spl17_528
  <=> true = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_528])]) ).

fof(f59979,plain,
    ( ~ bool(true)
    | ~ d(sK5)
    | bool(sK5)
    | ~ d(true)
    | ~ spl17_79
    | ~ spl17_212
    | ~ spl17_324
    | ~ spl17_336
    | ~ spl17_337
    | ~ spl17_528 ),
    inference(resolution,[],[f59682,f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( forallprefers(X1,X0)
      | bool(X1)
      | ~ d(X1)
      | ~ d(X0)
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X1,X0] :
      ( forallprefers(X1,X0)
      | ( ( bool(X1)
          | ~ d(X0)
          | ~ bool(X0)
          | ~ d(X1) )
        & ( ~ d(X0)
          | d(X1) )
        & ( true != X0
          | false != X1 ) ) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X1,X0] :
      ( ( ( ~ d(X1)
          & d(X0) )
        | ( false = X1
          & true = X0 )
        | ( bool(X0)
          & d(X0)
          & ~ bool(X1)
          & d(X1) ) )
     => forallprefers(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f52]) ).

fof(f52,plain,
    ! [X1,X0] :
      ( ( ( ~ d(X1)
          & d(X0) )
        | ( false = X1
          & true = X0 )
        | ( bool(X0)
          & d(X0)
          & ~ bool(X1)
          & d(X1) ) )
    <=> forallprefers(X1,X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( forallprefers(X0,X1)
    <=> ( ( false = X0
          & true = X1 )
        | ( d(X1)
          & ~ d(X0) )
        | ( ~ bool(X0)
          & d(X1)
          & d(X0)
          & bool(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_forallprefers) ).

fof(f59682,plain,
    ( ~ forallprefers(sK5,true)
    | ~ spl17_79
    | ~ spl17_212
    | ~ spl17_324
    | ~ spl17_336
    | ~ spl17_337
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f59681,f38837]) ).

fof(f38837,plain,
    ( sK5 = sF11
    | ~ spl17_337 ),
    inference(avatar_component_clause,[],[f38835]) ).

fof(f59681,plain,
    ( ~ forallprefers(sF11,true)
    | ~ spl17_79
    | ~ spl17_212
    | ~ spl17_324
    | ~ spl17_336
    | ~ spl17_337
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f59680,f38830]) ).

fof(f38830,plain,
    ( ! [X47] : impl(sK5,X47) = sF11
    | ~ spl17_336 ),
    inference(avatar_component_clause,[],[f38829]) ).

fof(f59680,plain,
    ( ! [X8] : ~ forallprefers(impl(sK5,sK3(err,X8)),true)
    | ~ spl17_79
    | ~ spl17_212
    | ~ spl17_324
    | ~ spl17_336
    | ~ spl17_337
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f59654,f38837]) ).

fof(f59654,plain,
    ( ! [X8] : ~ forallprefers(impl(sF11,sK3(err,X8)),true)
    | ~ spl17_79
    | ~ spl17_212
    | ~ spl17_324
    | ~ spl17_336
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f59653,f38546]) ).

fof(f38546,plain,
    ( ! [X1] : impl(sF11,X1) = lazy_impl(true,impl(sF11,X1))
    | ~ spl17_324 ),
    inference(avatar_component_clause,[],[f38545]) ).

fof(f59653,plain,
    ( ! [X8] : ~ forallprefers(lazy_impl(true,impl(sF11,sK3(err,X8))),true)
    | ~ spl17_79
    | ~ spl17_212
    | ~ spl17_336
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f59652,f3907]) ).

fof(f3907,plain,
    ( sF12 = sF11
    | ~ spl17_79 ),
    inference(avatar_component_clause,[],[f3905]) ).

fof(f59652,plain,
    ( ! [X8] : ~ forallprefers(lazy_impl(true,impl(sF12,sK3(err,X8))),true)
    | ~ spl17_212
    | ~ spl17_336
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f59651,f231]) ).

fof(f59651,plain,
    ( ! [X8] : ~ forallprefers(lazy_impl(true,impl(impl(sK6,sF11),sK3(err,X8))),true)
    | ~ spl17_212
    | ~ spl17_336
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58464,f38830]) ).

fof(f58464,plain,
    ( ! [X8] : ~ forallprefers(lazy_impl(true,impl(impl(sK6,impl(sK5,sK3(err,X8))),sK3(err,X8))),true)
    | ~ spl17_212
    | ~ spl17_528 ),
    inference(superposition,[],[f54004,f17790]) ).

fof(f17790,plain,
    ( ! [X2] : true = prop(sK3(err,X2))
    | ~ spl17_212 ),
    inference(avatar_component_clause,[],[f17789]) ).

fof(f54004,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),true)
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f6564,f45317]) ).

fof(f45317,plain,
    ( true = sF14
    | ~ spl17_528 ),
    inference(avatar_component_clause,[],[f45315]) ).

fof(f6564,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),sF14),
    inference(forward_demodulation,[],[f6563,f233]) ).

fof(f233,plain,
    sF14 = lazy_impl(sF10,sF13),
    introduced(function_definition,[]) ).

fof(f6563,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),lazy_impl(sF10,sF13)),
    inference(forward_demodulation,[],[f6562,f229]) ).

fof(f6562,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),lazy_impl(prop(sF9),sF13)),
    inference(forward_demodulation,[],[f6561,f232]) ).

fof(f232,plain,
    sF13 = impl(sF12,sF9),
    introduced(function_definition,[]) ).

fof(f6561,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),lazy_impl(prop(sF9),impl(sF12,sF9))),
    inference(forward_demodulation,[],[f6560,f231]) ).

fof(f6560,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),lazy_impl(prop(sF9),impl(impl(sK6,sF11),sF9))),
    inference(forward_demodulation,[],[f2382,f230]) ).

fof(f2382,plain,
    ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),lazy_impl(prop(sF9),impl(impl(sK6,impl(sK5,sF9)),sF9))),
    inference(superposition,[],[f188,f228]) ).

fof(f228,plain,
    sF9 = sK2(sK6,sK5),
    introduced(function_definition,[]) ).

fof(f188,plain,
    ! [X3,X0,X1] : ~ forallprefers(lazy_impl(prop(X3),impl(impl(X0,impl(X1,X3)),X3)),lazy_impl(prop(sK2(X0,X1)),impl(impl(X0,impl(X1,sK2(X0,X1))),sK2(X0,X1)))),
    inference(definition_unfolding,[],[f119,f153,f153]) ).

fof(f153,plain,
    ! [X2,X0,X1] : lazy_impl(prop(X1),impl(impl(X0,impl(X2,X1)),X1)) = f1(X0,X2,X1),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] : lazy_impl(prop(X1),impl(impl(X0,impl(X2,X1)),X1)) = f1(X0,X2,X1),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X4,X6,X5] : f1(X4,X5,X6) = lazy_impl(prop(X6),impl(impl(X4,impl(X5,X6)),X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_f1) ).

fof(f119,plain,
    ! [X3,X0,X1] : ~ forallprefers(f1(X0,X1,X3),f1(X0,X1,sK2(X0,X1))),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X1,X0] :
    ? [X2] :
      ( and2(X0,X1) = phi(f1(X0,X1,X2))
      & ! [X3] : ~ forallprefers(f1(X0,X1,X3),f1(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ~ ? [X3] : forallprefers(f1(X0,X1,X3),f1(X0,X1,X2))
      & and2(X0,X1) = phi(f1(X0,X1,X2)) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X4,X5] :
    ? [X6] :
      ( ~ ? [X7] : forallprefers(f1(X4,X5,X7),f1(X4,X5,X6))
      & and2(X4,X5) = phi(f1(X4,X5,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_and2) ).

fof(f59978,plain,
    ( ~ spl17_11
    | spl17_51
    | ~ spl17_105
    | ~ spl17_64
    | spl17_209 ),
    inference(avatar_split_clause,[],[f59976,f17210,f2747,f5413,f1613,f401]) ).

fof(f1613,plain,
    ( spl17_51
  <=> bool(err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_51])]) ).

fof(f5413,plain,
    ( spl17_105
  <=> d(err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_105])]) ).

fof(f17210,plain,
    ( spl17_209
  <=> forallprefers(err,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_209])]) ).

fof(f59976,plain,
    ( ~ bool(true)
    | ~ d(err)
    | bool(err)
    | ~ d(true)
    | spl17_209 ),
    inference(resolution,[],[f17212,f127]) ).

fof(f17212,plain,
    ( ~ forallprefers(err,true)
    | spl17_209 ),
    inference(avatar_component_clause,[],[f17210]) ).

fof(f59575,plain,
    ( spl17_117
    | ~ spl17_48
    | ~ spl17_337
    | ~ spl17_381 ),
    inference(avatar_split_clause,[],[f59574,f40908,f38835,f1597,f7140]) ).

fof(f7140,plain,
    ( spl17_117
  <=> lazy_impl(true,sK5) = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_117])]) ).

fof(f1597,plain,
    ( spl17_48
  <=> lazy_impl(true,sK5) = not1(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_48])]) ).

fof(f40908,plain,
    ( spl17_381
  <=> not1(sK5) = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_381])]) ).

fof(f59574,plain,
    ( lazy_impl(true,sK5) = sK5
    | ~ spl17_48
    | ~ spl17_337
    | ~ spl17_381 ),
    inference(forward_demodulation,[],[f59573,f38837]) ).

fof(f59573,plain,
    ( lazy_impl(true,sK5) = sF11
    | ~ spl17_48
    | ~ spl17_381 ),
    inference(forward_demodulation,[],[f1599,f40910]) ).

fof(f40910,plain,
    ( not1(sK5) = sF11
    | ~ spl17_381 ),
    inference(avatar_component_clause,[],[f40908]) ).

fof(f1599,plain,
    ( lazy_impl(true,sK5) = not1(sK5)
    | ~ spl17_48 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f59521,plain,
    ( ~ spl17_81
    | ~ spl17_79
    | ~ spl17_337
    | spl17_549 ),
    inference(avatar_split_clause,[],[f59520,f49271,f38835,f3905,f4122]) ).

fof(f4122,plain,
    ( spl17_81
  <=> impl(false1,sK5) = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_81])]) ).

fof(f49271,plain,
    ( spl17_549
  <=> sF12 = impl(false1,sF12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_549])]) ).

fof(f59520,plain,
    ( impl(false1,sK5) != sK5
    | ~ spl17_79
    | ~ spl17_337
    | spl17_549 ),
    inference(forward_demodulation,[],[f59519,f38837]) ).

fof(f59519,plain,
    ( impl(false1,sF11) != sF11
    | ~ spl17_79
    | spl17_549 ),
    inference(forward_demodulation,[],[f49272,f3907]) ).

fof(f49272,plain,
    ( sF12 != impl(false1,sF12)
    | spl17_549 ),
    inference(avatar_component_clause,[],[f49271]) ).

fof(f59258,plain,
    ( ~ spl17_209
    | ~ spl17_35
    | spl17_51
    | ~ spl17_53
    | ~ spl17_212
    | ~ spl17_383
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f59257,f45315,f41007,f17789,f1673,f1613,f1409,f17210]) ).

fof(f1409,plain,
    ( spl17_35
  <=> true = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_35])]) ).

fof(f1673,plain,
    ( spl17_53
  <=> err = impl(true,err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_53])]) ).

fof(f41007,plain,
    ( spl17_383
  <=> ! [X36] : err = impl(sK5,X36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_383])]) ).

fof(f59257,plain,
    ( ~ forallprefers(err,true)
    | ~ spl17_35
    | spl17_51
    | ~ spl17_53
    | ~ spl17_212
    | ~ spl17_383
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f59256,f284]) ).

fof(f284,plain,
    err = lazy_impl(true,err),
    inference(resolution,[],[f189,f134]) ).

fof(f134,plain,
    d(err),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( d(err)
    & d(false)
    & d(true) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_true_err_in_d) ).

fof(f59256,plain,
    ( ~ forallprefers(lazy_impl(true,err),true)
    | ~ spl17_35
    | spl17_51
    | ~ spl17_53
    | ~ spl17_212
    | ~ spl17_383
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f59255,f5535]) ).

fof(f5535,plain,
    ( ! [X4] : err = impl(err,X4)
    | spl17_51 ),
    inference(forward_demodulation,[],[f5522,f284]) ).

fof(f5522,plain,
    ( ! [X4] : impl(err,X4) = lazy_impl(true,err)
    | spl17_51 ),
    inference(resolution,[],[f1614,f212]) ).

fof(f1614,plain,
    ( ~ bool(err)
    | spl17_51 ),
    inference(avatar_component_clause,[],[f1613]) ).

fof(f59255,plain,
    ( ! [X8] : ~ forallprefers(lazy_impl(true,impl(err,sK3(err,X8))),true)
    | ~ spl17_35
    | ~ spl17_53
    | ~ spl17_212
    | ~ spl17_383
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f59254,f1675]) ).

fof(f1675,plain,
    ( err = impl(true,err)
    | ~ spl17_53 ),
    inference(avatar_component_clause,[],[f1673]) ).

fof(f59254,plain,
    ( ! [X8] : ~ forallprefers(lazy_impl(true,impl(impl(true,err),sK3(err,X8))),true)
    | ~ spl17_35
    | ~ spl17_212
    | ~ spl17_383
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f59253,f1411]) ).

fof(f1411,plain,
    ( true = sK6
    | ~ spl17_35 ),
    inference(avatar_component_clause,[],[f1409]) ).

fof(f59253,plain,
    ( ! [X8] : ~ forallprefers(lazy_impl(true,impl(impl(sK6,err),sK3(err,X8))),true)
    | ~ spl17_212
    | ~ spl17_383
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58464,f41008]) ).

fof(f41008,plain,
    ( ! [X36] : err = impl(sK5,X36)
    | ~ spl17_383 ),
    inference(avatar_component_clause,[],[f41007]) ).

fof(f59207,plain,
    ( spl17_193
    | ~ spl17_72
    | spl17_143 ),
    inference(avatar_split_clause,[],[f54863,f7996,f2913,f9175]) ).

fof(f9175,plain,
    ( spl17_193
  <=> true = prop(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_193])]) ).

fof(f2913,plain,
    ( spl17_72
  <=> true = impl(false1,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_72])]) ).

fof(f7996,plain,
    ( spl17_143
  <=> true = impl(sK5,sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_143])]) ).

fof(f54863,plain,
    ( true != impl(false1,sK5)
    | true = prop(sK5)
    | spl17_143 ),
    inference(superposition,[],[f7997,f13238]) ).

fof(f7997,plain,
    ( true != impl(sK5,sF9)
    | spl17_143 ),
    inference(avatar_component_clause,[],[f7996]) ).

fof(f59116,plain,
    spl17_302,
    inference(avatar_contradiction_clause,[],[f59113]) ).

fof(f59113,plain,
    ( $false
    | spl17_302 ),
    inference(resolution,[],[f34478,f223]) ).

fof(f223,plain,
    forallprefers(false1,true),
    inference(equality_resolution,[],[f222]) ).

fof(f222,plain,
    ! [X0] :
      ( true != X0
      | forallprefers(false1,X0) ),
    inference(equality_resolution,[],[f193]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( false1 != X1
      | true != X0
      | forallprefers(X1,X0) ),
    inference(definition_unfolding,[],[f129,f113]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( false != X1
      | true != X0
      | forallprefers(X1,X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f34478,plain,
    ( ~ forallprefers(false1,true)
    | spl17_302 ),
    inference(avatar_component_clause,[],[f34476]) ).

fof(f34476,plain,
    ( spl17_302
  <=> forallprefers(false1,true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_302])]) ).

fof(f59092,plain,
    ( ~ spl17_329
    | ~ spl17_35
    | spl17_54 ),
    inference(avatar_split_clause,[],[f58998,f1808,f1409,f38653]) ).

fof(f38653,plain,
    ( spl17_329
  <=> err = not1(true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_329])]) ).

fof(f58998,plain,
    ( err != not1(true)
    | ~ spl17_35
    | spl17_54 ),
    inference(forward_demodulation,[],[f1809,f1411]) ).

fof(f1809,plain,
    ( err != not1(sK6)
    | spl17_54 ),
    inference(avatar_component_clause,[],[f1808]) ).

fof(f58855,plain,
    ( ~ spl17_302
    | ~ spl17_5
    | ~ spl17_9
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f58854,f45315,f2815,f1409,f388,f329,f34476]) ).

fof(f329,plain,
    ( spl17_5
  <=> true = prop(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).

fof(f388,plain,
    ( spl17_9
  <=> false1 = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).

fof(f2815,plain,
    ( spl17_69
  <=> false1 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_69])]) ).

fof(f58854,plain,
    ( ~ forallprefers(false1,true)
    | ~ spl17_5
    | ~ spl17_9
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58853,f285]) ).

fof(f285,plain,
    false1 = lazy_impl(true,false1),
    inference(resolution,[],[f189,f195]) ).

fof(f195,plain,
    d(false1),
    inference(definition_unfolding,[],[f133,f113]) ).

fof(f133,plain,
    d(false),
    inference(cnf_transformation,[],[f3]) ).

fof(f58853,plain,
    ( ~ forallprefers(lazy_impl(true,false1),true)
    | ~ spl17_5
    | ~ spl17_9
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58852,f280]) ).

fof(f280,plain,
    false1 = impl(true,false1),
    inference(resolution,[],[f163,f226]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ bool(X0)
      | impl(true,X0) = X0 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( bool(X0)
     => impl(true,X0) = X0 ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X3] :
      ( bool(X3)
     => impl(true,X3) = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom4) ).

fof(f58852,plain,
    ( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
    | ~ spl17_5
    | ~ spl17_9
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58851,f281]) ).

fof(f281,plain,
    true = impl(true,true),
    inference(resolution,[],[f163,f227]) ).

fof(f227,plain,
    bool(true),
    inference(equality_resolution,[],[f171]) ).

fof(f171,plain,
    ! [X0] :
      ( bool(X0)
      | true != X0 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f58851,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(true,true),false1)),true)
    | ~ spl17_5
    | ~ spl17_9
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58850,f1411]) ).

fof(f58850,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(sK6,true),false1)),true)
    | ~ spl17_5
    | ~ spl17_9
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58849,f292]) ).

fof(f292,plain,
    true = impl(false1,false1),
    inference(resolution,[],[f213,f226]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = impl(false1,X0) ),
    inference(definition_unfolding,[],[f164,f113]) ).

fof(f164,plain,
    ! [X0] :
      ( true = impl(false,X0)
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = impl(false,X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( bool(X0)
     => true = impl(false,X0) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X3] :
      ( bool(X3)
     => true = impl(false,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom3) ).

fof(f58849,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(sK6,impl(false1,false1)),false1)),true)
    | ~ spl17_5
    | ~ spl17_9
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58666,f2817]) ).

fof(f2817,plain,
    ( false1 = sK5
    | ~ spl17_69 ),
    inference(avatar_component_clause,[],[f2815]) ).

fof(f58666,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(sK6,impl(sK5,false1)),false1)),true)
    | ~ spl17_5
    | ~ spl17_9
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58465,f390]) ).

fof(f390,plain,
    ( false1 = sK4
    | ~ spl17_9 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f58465,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(sK6,impl(sK5,sK4)),sK4)),true)
    | ~ spl17_5
    | ~ spl17_528 ),
    inference(superposition,[],[f54004,f331]) ).

fof(f331,plain,
    ( true = prop(sK4)
    | ~ spl17_5 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f58823,plain,
    ( spl17_37
    | spl17_69
    | spl17_70
    | ~ spl17_193 ),
    inference(avatar_split_clause,[],[f57766,f9175,f2819,f2815,f1417]) ).

fof(f2819,plain,
    ( spl17_70
  <=> true = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_70])]) ).

fof(f57766,plain,
    ( true = sK5
    | false1 = sK5
    | true = false1
    | ~ spl17_193 ),
    inference(superposition,[],[f310,f9177]) ).

fof(f9177,plain,
    ( true = prop(sK5)
    | ~ spl17_193 ),
    inference(avatar_component_clause,[],[f9175]) ).

fof(f310,plain,
    ! [X1] :
      ( false1 = prop(X1)
      | true = X1
      | false1 = X1 ),
    inference(resolution,[],[f217,f215]) ).

fof(f215,plain,
    ! [X0] :
      ( bool(X0)
      | prop(X0) = false1 ),
    inference(definition_unfolding,[],[f170,f113]) ).

fof(f170,plain,
    ! [X0] :
      ( false = prop(X0)
      | bool(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ bool(X0)
    <=> false = prop(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop_false) ).

fof(f217,plain,
    ! [X0] :
      ( ~ bool(X0)
      | false1 = X0
      | true = X0 ),
    inference(definition_unfolding,[],[f173,f113]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = X0
      | false = X0 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f58807,plain,
    ( spl17_325
    | ~ spl17_67 ),
    inference(avatar_split_clause,[],[f57108,f2789,f38555]) ).

fof(f38555,plain,
    ( spl17_325
  <=> false1 = and1(false1,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_325])]) ).

fof(f57108,plain,
    ( false1 = and1(false1,sK5)
    | ~ spl17_67 ),
    inference(resolution,[],[f2791,f211]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ bool(X0)
      | false1 = and1(false1,X0) ),
    inference(definition_unfolding,[],[f161,f113,f113]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ bool(X0)
      | false = and1(false,X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( false = and1(false,X0)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( bool(X0)
     => false = and1(false,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3] :
      ( bool(X3)
     => false = and1(false,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_axiom3) ).

fof(f2791,plain,
    ( bool(sK5)
    | ~ spl17_67 ),
    inference(avatar_component_clause,[],[f2789]) ).

fof(f58693,plain,
    ( spl17_203
    | spl17_29
    | ~ spl17_45
    | spl17_51
    | spl17_77
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f58692,f45315,f2965,f1613,f1476,f968,f16970]) ).

fof(f16970,plain,
    ( spl17_203
  <=> ! [X1] : ~ forallprefers(lazy_impl(prop(X1),err),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_203])]) ).

fof(f968,plain,
    ( spl17_29
  <=> true = err ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_29])]) ).

fof(f1476,plain,
    ( spl17_45
  <=> err = lazy_impl(true,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_45])]) ).

fof(f2965,plain,
    ( spl17_77
  <=> bool(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_77])]) ).

fof(f58692,plain,
    ( ! [X2] :
        ( true = err
        | ~ forallprefers(lazy_impl(prop(X2),err),true) )
    | ~ spl17_45
    | spl17_51
    | spl17_77
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58691,f5535]) ).

fof(f58691,plain,
    ( ! [X2] :
        ( true = err
        | ~ forallprefers(lazy_impl(prop(X2),impl(err,X2)),true) )
    | ~ spl17_45
    | spl17_77
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58690,f57144]) ).

fof(f57144,plain,
    ( err = or1(true,sK6)
    | ~ spl17_45
    | spl17_77 ),
    inference(forward_demodulation,[],[f57129,f1478]) ).

fof(f1478,plain,
    ( err = lazy_impl(true,sK6)
    | ~ spl17_45 ),
    inference(avatar_component_clause,[],[f1476]) ).

fof(f57129,plain,
    ( or1(true,sK6) = lazy_impl(true,sK6)
    | spl17_77 ),
    inference(resolution,[],[f2966,f1229]) ).

fof(f1229,plain,
    ! [X23] :
      ( bool(X23)
      | or1(true,X23) = lazy_impl(true,X23) ),
    inference(resolution,[],[f219,f227]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ bool(X1)
      | or1(X1,X0) = lazy_impl(true,X0)
      | bool(X0) ),
    inference(definition_unfolding,[],[f174,f121]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ~ bool(X1)
      | phi(X0) = or1(X1,X0)
      | bool(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X1,X0] :
      ( bool(X0)
      | phi(X0) = or1(X1,X0)
      | ~ bool(X1) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X1,X0] :
      ( phi(X0) = or1(X1,X0)
      | bool(X0)
      | ~ bool(X1) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X1,X0] :
      ( ( ~ bool(X0)
        & bool(X1) )
     => phi(X0) = or1(X1,X0) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X2] :
      ( ( ~ bool(X3)
        & bool(X2) )
     => phi(X3) = or1(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or1_axiom2) ).

fof(f2966,plain,
    ( ~ bool(sK6)
    | spl17_77 ),
    inference(avatar_component_clause,[],[f2965]) ).

fof(f58690,plain,
    ( ! [X2] :
        ( true = or1(true,sK6)
        | ~ forallprefers(lazy_impl(prop(X2),impl(err,X2)),true) )
    | ~ spl17_45
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f58494,f1478]) ).

fof(f58494,plain,
    ( ! [X2] :
        ( true = or1(true,sK6)
        | ~ forallprefers(lazy_impl(prop(X2),impl(lazy_impl(true,sK6),X2)),true) )
    | ~ spl17_528 ),
    inference(superposition,[],[f54004,f677]) ).

fof(f677,plain,
    ! [X2,X3] :
      ( impl(X2,X3) = lazy_impl(true,X2)
      | true = or1(true,X2) ),
    inference(resolution,[],[f212,f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = or1(true,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( true = or1(true,X0)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( bool(X0)
     => true = or1(true,X0) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X3] :
      ( bool(X3)
     => true = or1(true,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or1_axiom3) ).

fof(f56806,plain,
    ( spl17_45
    | ~ spl17_34
    | ~ spl17_41 ),
    inference(avatar_split_clause,[],[f56805,f1452,f1387,f1476]) ).

fof(f1387,plain,
    ( spl17_34
  <=> lazy_impl(true,sK6) = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_34])]) ).

fof(f1452,plain,
    ( spl17_41
  <=> err = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_41])]) ).

fof(f56805,plain,
    ( err = lazy_impl(true,sK6)
    | ~ spl17_34
    | ~ spl17_41 ),
    inference(forward_demodulation,[],[f1389,f1454]) ).

fof(f1454,plain,
    ( err = sF16
    | ~ spl17_41 ),
    inference(avatar_component_clause,[],[f1452]) ).

fof(f1389,plain,
    ( lazy_impl(true,sK6) = sF16
    | ~ spl17_34 ),
    inference(avatar_component_clause,[],[f1387]) ).

fof(f56793,plain,
    ( spl17_120
    | ~ spl17_23
    | ~ spl17_125
    | ~ spl17_356 ),
    inference(avatar_split_clause,[],[f56792,f39251,f7474,f733,f7338]) ).

fof(f7338,plain,
    ( spl17_120
  <=> err = lazy_impl(true,sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_120])]) ).

fof(f733,plain,
    ( spl17_23
  <=> err = lazy_impl(true,sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).

fof(f39251,plain,
    ( spl17_356
  <=> sF13 = not1(sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_356])]) ).

fof(f56792,plain,
    ( err = lazy_impl(true,sF11)
    | ~ spl17_23
    | ~ spl17_125
    | ~ spl17_356 ),
    inference(forward_demodulation,[],[f735,f52396]) ).

fof(f52396,plain,
    ( sF13 = sF11
    | ~ spl17_125
    | ~ spl17_356 ),
    inference(forward_demodulation,[],[f39253,f7476]) ).

fof(f39253,plain,
    ( sF13 = not1(sF11)
    | ~ spl17_356 ),
    inference(avatar_component_clause,[],[f39251]) ).

fof(f735,plain,
    ( err = lazy_impl(true,sF13)
    | ~ spl17_23 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f56777,plain,
    ( spl17_54
    | ~ spl17_41
    | ~ spl17_43 ),
    inference(avatar_split_clause,[],[f56776,f1461,f1452,f1808]) ).

fof(f1461,plain,
    ( spl17_43
  <=> not1(sK6) = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_43])]) ).

fof(f56776,plain,
    ( err = not1(sK6)
    | ~ spl17_41
    | ~ spl17_43 ),
    inference(forward_demodulation,[],[f1463,f1454]) ).

fof(f1463,plain,
    ( not1(sK6) = sF16
    | ~ spl17_43 ),
    inference(avatar_component_clause,[],[f1461]) ).

fof(f56753,plain,
    ( spl17_193
    | spl17_381 ),
    inference(avatar_split_clause,[],[f12810,f40908,f9175]) ).

fof(f12810,plain,
    ( not1(sK5) = sF11
    | true = prop(sK5) ),
    inference(superposition,[],[f230,f10698]) ).

fof(f56751,plain,
    ( spl17_337
    | spl17_193
    | ~ spl17_81 ),
    inference(avatar_split_clause,[],[f56750,f4122,f9175,f38835]) ).

fof(f56750,plain,
    ( true = prop(sK5)
    | sK5 = sF11
    | ~ spl17_81 ),
    inference(forward_demodulation,[],[f15495,f4124]) ).

fof(f4124,plain,
    ( impl(false1,sK5) = sK5
    | ~ spl17_81 ),
    inference(avatar_component_clause,[],[f4122]) ).

fof(f15495,plain,
    ( true = prop(sK5)
    | impl(false1,sK5) = sF11 ),
    inference(superposition,[],[f13238,f230]) ).

fof(f56705,plain,
    ( spl17_65
    | ~ spl17_81
    | ~ spl17_323
    | ~ spl17_617 ),
    inference(avatar_split_clause,[],[f56704,f56578,f38539,f4122,f2751]) ).

fof(f2751,plain,
    ( spl17_65
  <=> ! [X0] :
        ( ~ d(lazy_impl(prop(X0),sK5))
        | bool(lazy_impl(prop(X0),sK5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_65])]) ).

fof(f38539,plain,
    ( spl17_323
  <=> ! [X13] : sK5 = impl(sK5,X13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_323])]) ).

fof(f56578,plain,
    ( spl17_617
  <=> ! [X0] :
        ( bool(lazy_impl(prop(X0),impl(impl(false1,sK5),X0)))
        | ~ d(lazy_impl(prop(X0),impl(impl(false1,sK5),X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_617])]) ).

fof(f56704,plain,
    ( ! [X0] :
        ( bool(lazy_impl(prop(X0),sK5))
        | ~ d(lazy_impl(prop(X0),sK5)) )
    | ~ spl17_81
    | ~ spl17_323
    | ~ spl17_617 ),
    inference(forward_demodulation,[],[f56703,f38540]) ).

fof(f38540,plain,
    ( ! [X13] : sK5 = impl(sK5,X13)
    | ~ spl17_323 ),
    inference(avatar_component_clause,[],[f38539]) ).

fof(f56703,plain,
    ( ! [X0] :
        ( ~ d(lazy_impl(prop(X0),impl(sK5,X0)))
        | bool(lazy_impl(prop(X0),sK5)) )
    | ~ spl17_81
    | ~ spl17_323
    | ~ spl17_617 ),
    inference(forward_demodulation,[],[f56702,f4124]) ).

fof(f56702,plain,
    ( ! [X0] :
        ( bool(lazy_impl(prop(X0),sK5))
        | ~ d(lazy_impl(prop(X0),impl(impl(false1,sK5),X0))) )
    | ~ spl17_81
    | ~ spl17_323
    | ~ spl17_617 ),
    inference(forward_demodulation,[],[f56701,f38540]) ).

fof(f56701,plain,
    ( ! [X0] :
        ( bool(lazy_impl(prop(X0),impl(sK5,X0)))
        | ~ d(lazy_impl(prop(X0),impl(impl(false1,sK5),X0))) )
    | ~ spl17_81
    | ~ spl17_617 ),
    inference(forward_demodulation,[],[f56579,f4124]) ).

fof(f56579,plain,
    ( ! [X0] :
        ( ~ d(lazy_impl(prop(X0),impl(impl(false1,sK5),X0)))
        | bool(lazy_impl(prop(X0),impl(impl(false1,sK5),X0))) )
    | ~ spl17_617 ),
    inference(avatar_component_clause,[],[f56578]) ).

fof(f56580,plain,
    ( ~ spl17_11
    | spl17_617
    | ~ spl17_64
    | ~ spl17_36
    | ~ spl17_323
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f56576,f45315,f38539,f1413,f2747,f56578,f401]) ).

fof(f1413,plain,
    ( spl17_36
  <=> false1 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_36])]) ).

fof(f56576,plain,
    ( ! [X0] :
        ( ~ bool(true)
        | bool(lazy_impl(prop(X0),impl(impl(false1,sK5),X0)))
        | ~ d(lazy_impl(prop(X0),impl(impl(false1,sK5),X0)))
        | ~ d(true) )
    | ~ spl17_36
    | ~ spl17_323
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f56575,f38540]) ).

fof(f56575,plain,
    ( ! [X0] :
        ( bool(lazy_impl(prop(X0),impl(impl(false1,impl(sK5,X0)),X0)))
        | ~ d(lazy_impl(prop(X0),impl(impl(false1,sK5),X0)))
        | ~ bool(true)
        | ~ d(true) )
    | ~ spl17_36
    | ~ spl17_323
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f55754,f38540]) ).

fof(f55754,plain,
    ( ! [X0] :
        ( ~ d(true)
        | ~ d(lazy_impl(prop(X0),impl(impl(false1,impl(sK5,X0)),X0)))
        | bool(lazy_impl(prop(X0),impl(impl(false1,impl(sK5,X0)),X0)))
        | ~ bool(true) )
    | ~ spl17_36
    | ~ spl17_528 ),
    inference(resolution,[],[f54005,f127]) ).

fof(f54005,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(sK5,X0)),X0)),true)
    | ~ spl17_36
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f54004,f1415]) ).

fof(f1415,plain,
    ( false1 = sK6
    | ~ spl17_36 ),
    inference(avatar_component_clause,[],[f1413]) ).

fof(f56544,plain,
    ( spl17_81
    | ~ spl17_48
    | ~ spl17_49
    | ~ spl17_71
    | spl17_78 ),
    inference(avatar_split_clause,[],[f56543,f3380,f2906,f1601,f1597,f4122]) ).

fof(f1601,plain,
    ( spl17_49
  <=> sK5 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_49])]) ).

fof(f2906,plain,
    ( spl17_71
  <=> not1(sK5) = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_71])]) ).

fof(f3380,plain,
    ( spl17_78
  <=> bool(sF16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_78])]) ).

fof(f56543,plain,
    ( impl(false1,sK5) = sK5
    | ~ spl17_48
    | ~ spl17_49
    | ~ spl17_71
    | spl17_78 ),
    inference(forward_demodulation,[],[f56542,f2908]) ).

fof(f2908,plain,
    ( not1(sK5) = sK5
    | ~ spl17_71 ),
    inference(avatar_component_clause,[],[f2906]) ).

fof(f56542,plain,
    ( not1(sK5) = impl(false1,sK5)
    | ~ spl17_48
    | ~ spl17_49
    | spl17_78 ),
    inference(forward_demodulation,[],[f56541,f1599]) ).

fof(f56541,plain,
    ( lazy_impl(true,sK5) = impl(false1,sK5)
    | ~ spl17_49
    | spl17_78 ),
    inference(forward_demodulation,[],[f54457,f1603]) ).

fof(f1603,plain,
    ( sK5 = sF16
    | ~ spl17_49 ),
    inference(avatar_component_clause,[],[f1601]) ).

fof(f54457,plain,
    ( impl(false1,sF16) = lazy_impl(true,sF16)
    | spl17_78 ),
    inference(resolution,[],[f3382,f1267]) ).

fof(f3382,plain,
    ( ~ bool(sF16)
    | spl17_78 ),
    inference(avatar_component_clause,[],[f3380]) ).

fof(f56311,plain,
    ( spl17_83
    | ~ spl17_79
    | ~ spl17_89
    | ~ spl17_256
    | ~ spl17_337 ),
    inference(avatar_split_clause,[],[f56310,f38835,f31480,f4819,f3905,f4133]) ).

fof(f4133,plain,
    ( spl17_83
  <=> err = lazy_impl(true,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_83])]) ).

fof(f4819,plain,
    ( spl17_89
  <=> err = lazy_impl(true,impl(sF12,true)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_89])]) ).

fof(f31480,plain,
    ( spl17_256
  <=> ! [X65] : impl(sF11,X65) = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_256])]) ).

fof(f56310,plain,
    ( err = lazy_impl(true,sK5)
    | ~ spl17_79
    | ~ spl17_89
    | ~ spl17_256
    | ~ spl17_337 ),
    inference(forward_demodulation,[],[f54395,f38837]) ).

fof(f54395,plain,
    ( err = lazy_impl(true,sF11)
    | ~ spl17_79
    | ~ spl17_89
    | ~ spl17_256 ),
    inference(forward_demodulation,[],[f54394,f31481]) ).

fof(f31481,plain,
    ( ! [X65] : impl(sF11,X65) = sF11
    | ~ spl17_256 ),
    inference(avatar_component_clause,[],[f31480]) ).

fof(f54394,plain,
    ( err = lazy_impl(true,impl(sF11,true))
    | ~ spl17_79
    | ~ spl17_89 ),
    inference(forward_demodulation,[],[f4821,f3907]) ).

fof(f4821,plain,
    ( err = lazy_impl(true,impl(sF12,true))
    | ~ spl17_89 ),
    inference(avatar_component_clause,[],[f4819]) ).

fof(f56253,plain,
    ( spl17_49
    | ~ spl17_36
    | spl17_67
    | ~ spl17_117 ),
    inference(avatar_split_clause,[],[f56252,f7140,f2789,f1413,f1601]) ).

fof(f56252,plain,
    ( sK5 = sF16
    | ~ spl17_36
    | spl17_67
    | ~ spl17_117 ),
    inference(forward_demodulation,[],[f54441,f7142]) ).

fof(f7142,plain,
    ( lazy_impl(true,sK5) = sK5
    | ~ spl17_117 ),
    inference(avatar_component_clause,[],[f7140]) ).

fof(f54441,plain,
    ( lazy_impl(true,sK5) = sF16
    | ~ spl17_36
    | spl17_67 ),
    inference(forward_demodulation,[],[f54408,f43611]) ).

fof(f43611,plain,
    ( sF16 = and1(false1,sK5)
    | ~ spl17_36 ),
    inference(superposition,[],[f235,f1415]) ).

fof(f235,plain,
    and1(sK6,sK5) = sF16,
    introduced(function_definition,[]) ).

fof(f54408,plain,
    ( lazy_impl(true,sK5) = and1(false1,sK5)
    | spl17_67 ),
    inference(resolution,[],[f2790,f1199]) ).

fof(f1199,plain,
    ! [X22] :
      ( bool(X22)
      | and1(false1,X22) = lazy_impl(true,X22) ),
    inference(resolution,[],[f204,f226]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
      | bool(X1)
      | lazy_impl(true,X1) = and1(X0,X1) ),
    inference(definition_unfolding,[],[f146,f121]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( and1(X0,X1) = phi(X1)
      | bool(X1)
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
      | bool(X1)
      | and1(X0,X1) = phi(X1) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X1,X0] :
      ( and1(X0,X1) = phi(X1)
      | ~ bool(X0)
      | bool(X1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X1,X0] :
      ( ( bool(X0)
        & ~ bool(X1) )
     => and1(X0,X1) = phi(X1) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X2,X3] :
      ( ( bool(X2)
        & ~ bool(X3) )
     => phi(X3) = and1(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_axiom2) ).

fof(f2790,plain,
    ( ~ bool(sK5)
    | spl17_67 ),
    inference(avatar_component_clause,[],[f2789]) ).

fof(f56250,plain,
    ( spl17_193
    | spl17_49
    | ~ spl17_36
    | ~ spl17_117 ),
    inference(avatar_split_clause,[],[f56249,f7140,f1413,f1601,f9175]) ).

fof(f56249,plain,
    ( sK5 = sF16
    | true = prop(sK5)
    | ~ spl17_36
    | ~ spl17_117 ),
    inference(forward_demodulation,[],[f49888,f7142]) ).

fof(f49888,plain,
    ( lazy_impl(true,sK5) = sF16
    | true = prop(sK5)
    | ~ spl17_36 ),
    inference(superposition,[],[f43611,f1205]) ).

fof(f1205,plain,
    ! [X3] :
      ( lazy_impl(true,X3) = and1(false1,X3)
      | true = prop(X3) ),
    inference(resolution,[],[f1199,f165]) ).

fof(f56115,plain,
    ( spl17_37
    | spl17_203
    | ~ spl17_36
    | ~ spl17_50
    | spl17_51
    | ~ spl17_83
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f56114,f45315,f4133,f1613,f1606,f1413,f16970,f1417]) ).

fof(f56114,plain,
    ( ! [X4] :
        ( ~ forallprefers(lazy_impl(prop(X4),err),true)
        | true = false1 )
    | ~ spl17_36
    | ~ spl17_50
    | spl17_51
    | ~ spl17_83
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f56113,f5535]) ).

fof(f56113,plain,
    ( ! [X4] :
        ( ~ forallprefers(lazy_impl(prop(X4),impl(err,X4)),true)
        | true = false1 )
    | ~ spl17_36
    | ~ spl17_50
    | spl17_51
    | ~ spl17_83
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f56112,f5531]) ).

fof(f5531,plain,
    ( err = impl(false1,err)
    | spl17_51 ),
    inference(forward_demodulation,[],[f5529,f284]) ).

fof(f5529,plain,
    ( lazy_impl(true,err) = impl(false1,err)
    | spl17_51 ),
    inference(resolution,[],[f1614,f1267]) ).

fof(f56112,plain,
    ( ! [X4] :
        ( true = false1
        | ~ forallprefers(lazy_impl(prop(X4),impl(impl(false1,err),X4)),true) )
    | ~ spl17_36
    | ~ spl17_50
    | ~ spl17_83
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f56111,f1608]) ).

fof(f56111,plain,
    ( ! [X4] :
        ( true = prop(sK5)
        | ~ forallprefers(lazy_impl(prop(X4),impl(impl(false1,err),X4)),true) )
    | ~ spl17_36
    | ~ spl17_83
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f55783,f4135]) ).

fof(f4135,plain,
    ( err = lazy_impl(true,sK5)
    | ~ spl17_83 ),
    inference(avatar_component_clause,[],[f4133]) ).

fof(f55783,plain,
    ( ! [X4] :
        ( ~ forallprefers(lazy_impl(prop(X4),impl(impl(false1,lazy_impl(true,sK5)),X4)),true)
        | true = prop(sK5) )
    | ~ spl17_36
    | ~ spl17_528 ),
    inference(superposition,[],[f54005,f679]) ).

fof(f56072,plain,
    ( spl17_203
    | spl17_37
    | ~ spl17_36
    | ~ spl17_50
    | spl17_51
    | ~ spl17_82
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f56071,f45315,f4128,f1613,f1606,f1413,f1417,f16970]) ).

fof(f4128,plain,
    ( spl17_82
  <=> err = impl(false1,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_82])]) ).

fof(f56071,plain,
    ( ! [X15] :
        ( true = false1
        | ~ forallprefers(lazy_impl(prop(X15),err),true) )
    | ~ spl17_36
    | ~ spl17_50
    | spl17_51
    | ~ spl17_82
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f56070,f5535]) ).

fof(f56070,plain,
    ( ! [X15] :
        ( ~ forallprefers(lazy_impl(prop(X15),impl(err,X15)),true)
        | true = false1 )
    | ~ spl17_36
    | ~ spl17_50
    | spl17_51
    | ~ spl17_82
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f56069,f1608]) ).

fof(f56069,plain,
    ( ! [X15] :
        ( true = prop(sK5)
        | ~ forallprefers(lazy_impl(prop(X15),impl(err,X15)),true) )
    | ~ spl17_36
    | spl17_51
    | ~ spl17_82
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f56068,f5531]) ).

fof(f56068,plain,
    ( ! [X15] :
        ( ~ forallprefers(lazy_impl(prop(X15),impl(impl(false1,err),X15)),true)
        | true = prop(sK5) )
    | ~ spl17_36
    | ~ spl17_82
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f55791,f4130]) ).

fof(f4130,plain,
    ( err = impl(false1,sK5)
    | ~ spl17_82 ),
    inference(avatar_component_clause,[],[f4128]) ).

fof(f55791,plain,
    ( ! [X15] :
        ( true = prop(sK5)
        | ~ forallprefers(lazy_impl(prop(X15),impl(impl(false1,impl(false1,sK5)),X15)),true) )
    | ~ spl17_36
    | ~ spl17_528 ),
    inference(superposition,[],[f54005,f13238]) ).

fof(f56030,plain,
    ( spl17_37
    | spl17_203
    | ~ spl17_36
    | ~ spl17_50
    | spl17_51
    | ~ spl17_338
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f56029,f45315,f38840,f1613,f1606,f1413,f16970,f1417]) ).

fof(f38840,plain,
    ( spl17_338
  <=> err = impl(true,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_338])]) ).

fof(f56029,plain,
    ( ! [X16] :
        ( ~ forallprefers(lazy_impl(prop(X16),err),true)
        | true = false1 )
    | ~ spl17_36
    | ~ spl17_50
    | spl17_51
    | ~ spl17_338
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f56028,f5535]) ).

fof(f56028,plain,
    ( ! [X16] :
        ( true = false1
        | ~ forallprefers(lazy_impl(prop(X16),impl(err,X16)),true) )
    | ~ spl17_36
    | ~ spl17_50
    | spl17_51
    | ~ spl17_338
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f56027,f5531]) ).

fof(f56027,plain,
    ( ! [X16] :
        ( ~ forallprefers(lazy_impl(prop(X16),impl(impl(false1,err),X16)),true)
        | true = false1 )
    | ~ spl17_36
    | ~ spl17_50
    | ~ spl17_338
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f56026,f38841]) ).

fof(f38841,plain,
    ( err = impl(true,sK5)
    | ~ spl17_338 ),
    inference(avatar_component_clause,[],[f38840]) ).

fof(f56026,plain,
    ( ! [X16] :
        ( ~ forallprefers(lazy_impl(prop(X16),impl(impl(false1,impl(true,sK5)),X16)),true)
        | true = false1 )
    | ~ spl17_36
    | ~ spl17_50
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f55792,f1608]) ).

fof(f55792,plain,
    ( ! [X16] :
        ( true = prop(sK5)
        | ~ forallprefers(lazy_impl(prop(X16),impl(impl(false1,impl(true,sK5)),X16)),true) )
    | ~ spl17_36
    | ~ spl17_528 ),
    inference(superposition,[],[f54005,f13547]) ).

fof(f13547,plain,
    ! [X8,X9] :
      ( impl(true,X8) = impl(X8,X9)
      | true = prop(X8) ),
    inference(duplicate_literal_removal,[],[f13502]) ).

fof(f13502,plain,
    ! [X8,X9] :
      ( impl(true,X8) = impl(X8,X9)
      | true = prop(X8)
      | true = prop(X8) ),
    inference(superposition,[],[f679,f4956]) ).

fof(f4956,plain,
    ! [X3] :
      ( impl(true,X3) = lazy_impl(true,X3)
      | true = prop(X3) ),
    inference(resolution,[],[f1265,f165]) ).

fof(f1265,plain,
    ! [X27] :
      ( bool(X27)
      | lazy_impl(true,X27) = impl(true,X27) ),
    inference(resolution,[],[f220,f227]) ).

fof(f55997,plain,
    ( ~ spl17_209
    | ~ spl17_3
    | ~ spl17_36
    | spl17_51
    | ~ spl17_383
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f55996,f45315,f41162,f41007,f1613,f1413,f258,f17210]) ).

fof(f258,plain,
    ( spl17_3
  <=> false1 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).

fof(f41162,plain,
    ( spl17_388
  <=> true = prop(sF10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_388])]) ).

fof(f55996,plain,
    ( ~ forallprefers(err,true)
    | ~ spl17_3
    | ~ spl17_36
    | spl17_51
    | ~ spl17_383
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f55995,f284]) ).

fof(f55995,plain,
    ( ~ forallprefers(lazy_impl(true,err),true)
    | ~ spl17_3
    | ~ spl17_36
    | spl17_51
    | ~ spl17_383
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f55994,f5535]) ).

fof(f55994,plain,
    ( ~ forallprefers(lazy_impl(true,impl(err,false1)),true)
    | ~ spl17_3
    | ~ spl17_36
    | spl17_51
    | ~ spl17_383
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f55993,f5531]) ).

fof(f55993,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,err),false1)),true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_383
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f55992,f41008]) ).

fof(f55992,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(sK5,false1)),false1)),true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f55775,f259]) ).

fof(f259,plain,
    ( false1 = sF10
    | ~ spl17_3 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f55775,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(sK5,sF10)),sF10)),true)
    | ~ spl17_36
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(superposition,[],[f54005,f41164]) ).

fof(f41164,plain,
    ( true = prop(sF10)
    | ~ spl17_388 ),
    inference(avatar_component_clause,[],[f41162]) ).

fof(f55744,plain,
    ( spl17_51
    | spl17_550 ),
    inference(avatar_contradiction_clause,[],[f55743]) ).

fof(f55743,plain,
    ( $false
    | spl17_51
    | spl17_550 ),
    inference(trivial_inequality_removal,[],[f55731]) ).

fof(f55731,plain,
    ( err != err
    | spl17_51
    | spl17_550 ),
    inference(superposition,[],[f49426,f5531]) ).

fof(f49426,plain,
    ( err != impl(false1,err)
    | spl17_550 ),
    inference(avatar_component_clause,[],[f49424]) ).

fof(f49424,plain,
    ( spl17_550
  <=> err = impl(false1,err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_550])]) ).

fof(f54297,plain,
    ( spl17_383
    | ~ spl17_336
    | ~ spl17_380 ),
    inference(avatar_split_clause,[],[f54296,f40666,f38829,f41007]) ).

fof(f40666,plain,
    ( spl17_380
  <=> err = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_380])]) ).

fof(f54296,plain,
    ( ! [X47] : err = impl(sK5,X47)
    | ~ spl17_336
    | ~ spl17_380 ),
    inference(forward_demodulation,[],[f38830,f40668]) ).

fof(f40668,plain,
    ( err = sF11
    | ~ spl17_380 ),
    inference(avatar_component_clause,[],[f40666]) ).

fof(f54146,plain,
    ( spl17_542
    | ~ spl17_120
    | ~ spl17_168 ),
    inference(avatar_split_clause,[],[f54145,f8182,f7338,f49012]) ).

fof(f8182,plain,
    ( spl17_168
  <=> sF9 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_168])]) ).

fof(f54145,plain,
    ( err = lazy_impl(true,sF9)
    | ~ spl17_120
    | ~ spl17_168 ),
    inference(forward_demodulation,[],[f7340,f8184]) ).

fof(f8184,plain,
    ( sF9 = sF11
    | ~ spl17_168 ),
    inference(avatar_component_clause,[],[f8182]) ).

fof(f7340,plain,
    ( err = lazy_impl(true,sF11)
    | ~ spl17_120 ),
    inference(avatar_component_clause,[],[f7338]) ).

fof(f54081,plain,
    ( spl17_156
    | spl17_50
    | ~ spl17_36 ),
    inference(avatar_split_clause,[],[f49904,f1413,f1606,f8089]) ).

fof(f8089,plain,
    ( spl17_156
  <=> false1 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_156])]) ).

fof(f49904,plain,
    ( false1 = prop(sK5)
    | false1 = sF16
    | ~ spl17_36 ),
    inference(superposition,[],[f291,f43611]) ).

fof(f291,plain,
    ! [X0] :
      ( false1 = and1(false1,X0)
      | prop(X0) = false1 ),
    inference(resolution,[],[f211,f215]) ).

fof(f54071,plain,
    ( spl17_193
    | spl17_41
    | ~ spl17_36
    | ~ spl17_83 ),
    inference(avatar_split_clause,[],[f54070,f4133,f1413,f1452,f9175]) ).

fof(f54070,plain,
    ( err = sF16
    | true = prop(sK5)
    | ~ spl17_36
    | ~ spl17_83 ),
    inference(forward_demodulation,[],[f49888,f4135]) ).

fof(f54069,plain,
    ( ~ spl17_156
    | ~ spl17_36
    | spl17_40 ),
    inference(avatar_split_clause,[],[f54068,f1448,f1413,f8089]) ).

fof(f1448,plain,
    ( spl17_40
  <=> sF16 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_40])]) ).

fof(f54068,plain,
    ( false1 != sF16
    | ~ spl17_36
    | spl17_40 ),
    inference(forward_demodulation,[],[f1449,f1415]) ).

fof(f1449,plain,
    ( sF16 != sK6
    | spl17_40 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f54060,plain,
    ( spl17_156
    | spl17_383
    | ~ spl17_36
    | ~ spl17_83 ),
    inference(avatar_split_clause,[],[f54059,f4133,f1413,f41007,f8089]) ).

fof(f54059,plain,
    ( ! [X0] :
        ( err = impl(sK5,X0)
        | false1 = sF16 )
    | ~ spl17_36
    | ~ spl17_83 ),
    inference(forward_demodulation,[],[f49899,f4135]) ).

fof(f49899,plain,
    ( ! [X0] :
        ( lazy_impl(true,sK5) = impl(sK5,X0)
        | false1 = sF16 )
    | ~ spl17_36 ),
    inference(superposition,[],[f680,f43611]) ).

fof(f680,plain,
    ! [X8,X9] :
      ( false1 = and1(false1,X8)
      | lazy_impl(true,X8) = impl(X8,X9) ),
    inference(resolution,[],[f212,f211]) ).

fof(f53957,plain,
    ( ~ spl17_302
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f53956,f45315,f41162,f2819,f1413,f258,f34476]) ).

fof(f53956,plain,
    ( ~ forallprefers(false1,true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53955,f285]) ).

fof(f53955,plain,
    ( ~ forallprefers(lazy_impl(true,false1),true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53954,f280]) ).

fof(f53954,plain,
    ( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53953,f292]) ).

fof(f53953,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,false1),false1)),true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53952,f280]) ).

fof(f53952,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(true,false1)),false1)),true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53951,f259]) ).

fof(f53951,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(true,sF10)),sF10)),true)
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53715,f45317]) ).

fof(f53715,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(true,sF10)),sF10)),sF14)
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_388 ),
    inference(superposition,[],[f52114,f41164]) ).

fof(f52114,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(true,X0)),X0)),sF14)
    | ~ spl17_36
    | ~ spl17_70 ),
    inference(forward_demodulation,[],[f52113,f1415]) ).

fof(f52113,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(true,X0)),X0)),sF14)
    | ~ spl17_70 ),
    inference(forward_demodulation,[],[f6564,f2821]) ).

fof(f2821,plain,
    ( true = sK5
    | ~ spl17_70 ),
    inference(avatar_component_clause,[],[f2819]) ).

fof(f53890,plain,
    ( ~ spl17_302
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f53889,f45315,f2819,f1413,f34476]) ).

fof(f53889,plain,
    ( ~ forallprefers(false1,true)
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53888,f285]) ).

fof(f53888,plain,
    ( ~ forallprefers(lazy_impl(true,false1),true)
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53887,f280]) ).

fof(f53887,plain,
    ( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53886,f292]) ).

fof(f53886,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,false1),false1)),true)
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53885,f280]) ).

fof(f53885,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(true,false1)),false1)),true)
    | ~ spl17_36
    | ~ spl17_70
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f53706,f45317]) ).

fof(f53706,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(true,false1)),false1)),sF14)
    | ~ spl17_36
    | ~ spl17_70 ),
    inference(superposition,[],[f52114,f237]) ).

fof(f237,plain,
    true = prop(false1),
    inference(resolution,[],[f165,f226]) ).

fof(f52459,plain,
    ( spl17_256
    | spl17_130
    | ~ spl17_79
    | ~ spl17_125
    | ~ spl17_549 ),
    inference(avatar_split_clause,[],[f52458,f49271,f7474,f3905,f7903,f31480]) ).

fof(f7903,plain,
    ( spl17_130
  <=> true = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_130])]) ).

fof(f52458,plain,
    ( ! [X0] :
        ( true = sF11
        | impl(sF11,X0) = sF11 )
    | ~ spl17_79
    | ~ spl17_125
    | ~ spl17_549 ),
    inference(forward_demodulation,[],[f52457,f7476]) ).

fof(f52457,plain,
    ( ! [X0] :
        ( true = sF11
        | not1(sF11) = impl(sF11,X0) )
    | ~ spl17_79
    | ~ spl17_549 ),
    inference(forward_demodulation,[],[f52337,f3907]) ).

fof(f52337,plain,
    ( ! [X0] :
        ( true = sF11
        | impl(sF12,X0) = not1(sF12) )
    | ~ spl17_79
    | ~ spl17_549 ),
    inference(forward_demodulation,[],[f50068,f3907]) ).

fof(f50068,plain,
    ( ! [X0] :
        ( true = sF12
        | impl(sF12,X0) = not1(sF12) )
    | ~ spl17_549 ),
    inference(superposition,[],[f49273,f28529]) ).

fof(f28529,plain,
    ! [X8,X9] :
      ( not1(X8) = impl(X8,X9)
      | true = impl(false1,X8) ),
    inference(duplicate_literal_removal,[],[f28417]) ).

fof(f28417,plain,
    ! [X8,X9] :
      ( not1(X8) = impl(X8,X9)
      | true = impl(false1,X8)
      | true = impl(false1,X8) ),
    inference(superposition,[],[f304,f681]) ).

fof(f681,plain,
    ! [X10,X11] :
      ( impl(X10,X11) = lazy_impl(true,X10)
      | true = impl(false1,X10) ),
    inference(resolution,[],[f212,f213]) ).

fof(f304,plain,
    ! [X5] :
      ( not1(X5) = lazy_impl(true,X5)
      | true = impl(false1,X5) ),
    inference(resolution,[],[f200,f213]) ).

fof(f49273,plain,
    ( sF12 = impl(false1,sF12)
    | ~ spl17_549 ),
    inference(avatar_component_clause,[],[f49271]) ).

fof(f52412,plain,
    ( spl17_380
    | ~ spl17_120
    | ~ spl17_123 ),
    inference(avatar_split_clause,[],[f52411,f7355,f7338,f40666]) ).

fof(f52411,plain,
    ( err = sF11
    | ~ spl17_120
    | ~ spl17_123 ),
    inference(forward_demodulation,[],[f7357,f7340]) ).

fof(f7357,plain,
    ( lazy_impl(true,sF11) = sF11
    | ~ spl17_123 ),
    inference(avatar_component_clause,[],[f7355]) ).

fof(f52401,plain,
    ( spl17_130
    | ~ spl17_72
    | ~ spl17_503 ),
    inference(avatar_split_clause,[],[f52400,f43706,f2913,f7903]) ).

fof(f52400,plain,
    ( true = sF11
    | ~ spl17_72
    | ~ spl17_503 ),
    inference(forward_demodulation,[],[f43708,f2915]) ).

fof(f2915,plain,
    ( true = impl(false1,sK5)
    | ~ spl17_72 ),
    inference(avatar_component_clause,[],[f2913]) ).

fof(f43708,plain,
    ( impl(false1,sK5) = sF11
    | ~ spl17_503 ),
    inference(avatar_component_clause,[],[f43706]) ).

fof(f52076,plain,
    ( spl17_168
    | spl17_568
    | ~ spl17_70 ),
    inference(avatar_split_clause,[],[f51173,f2819,f52070,f8182]) ).

fof(f51173,plain,
    ( false1 = prop(sF9)
    | sF9 = sF11
    | ~ spl17_70 ),
    inference(superposition,[],[f48991,f282]) ).

fof(f282,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | prop(X0) = false1 ),
    inference(resolution,[],[f163,f215]) ).

fof(f48991,plain,
    ( impl(true,sF9) = sF11
    | ~ spl17_70 ),
    inference(superposition,[],[f230,f2821]) ).

fof(f52022,plain,
    ( ~ spl17_471
    | ~ spl17_21
    | ~ spl17_156 ),
    inference(avatar_split_clause,[],[f45566,f8089,f722,f42166]) ).

fof(f42166,plain,
    ( spl17_471
  <=> false1 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_471])]) ).

fof(f722,plain,
    ( spl17_21
  <=> sF15 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).

fof(f45566,plain,
    ( false1 != sF14
    | ~ spl17_21
    | ~ spl17_156 ),
    inference(superposition,[],[f45023,f724]) ).

fof(f724,plain,
    ( sF15 = sF14
    | ~ spl17_21 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f45023,plain,
    ( false1 != sF15
    | ~ spl17_156 ),
    inference(superposition,[],[f236,f8091]) ).

fof(f8091,plain,
    ( false1 = sF16
    | ~ spl17_156 ),
    inference(avatar_component_clause,[],[f8089]) ).

fof(f236,plain,
    sF15 != sF16,
    inference(definition_folding,[],[f199,f235,f234,f233,f232,f228,f231,f230,f228,f229,f228]) ).

fof(f234,plain,
    lazy_impl(true,sF14) = sF15,
    introduced(function_definition,[]) ).

fof(f199,plain,
    lazy_impl(true,lazy_impl(prop(sK2(sK6,sK5)),impl(impl(sK6,impl(sK5,sK2(sK6,sK5))),sK2(sK6,sK5)))) != and1(sK6,sK5),
    inference(definition_unfolding,[],[f139,f178]) ).

fof(f178,plain,
    ! [X0,X1] : and2(X0,X1) = lazy_impl(true,lazy_impl(prop(sK2(X0,X1)),impl(impl(X0,impl(X1,sK2(X0,X1))),sK2(X0,X1)))),
    inference(definition_unfolding,[],[f120,f121,f153]) ).

fof(f120,plain,
    ! [X0,X1] : and2(X0,X1) = phi(f1(X0,X1,sK2(X0,X1))),
    inference(cnf_transformation,[],[f106]) ).

fof(f139,plain,
    and1(sK6,sK5) != and2(sK6,sK5),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ? [X0,X1] : and1(X1,X0) != and2(X1,X0),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ~ ! [X1,X0] : and1(X1,X0) = and2(X1,X0),
    inference(rectify,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ ! [X5,X4] : and2(X4,X5) = and1(X4,X5),
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    ! [X5,X4] : and2(X4,X5) = and1(X4,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_and2) ).

fof(f51981,plain,
    ( ~ spl17_11
    | spl17_86
    | ~ spl17_198 ),
    inference(avatar_split_clause,[],[f51980,f9937,f4737,f401]) ).

fof(f4737,plain,
    ( spl17_86
  <=> d(sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_86])]) ).

fof(f9937,plain,
    ( spl17_198
  <=> true = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_198])]) ).

fof(f51980,plain,
    ( ~ d(true)
    | spl17_86
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f4739,f9939]) ).

fof(f9939,plain,
    ( true = sF13
    | ~ spl17_198 ),
    inference(avatar_component_clause,[],[f9937]) ).

fof(f4739,plain,
    ( ~ d(sF13)
    | spl17_86 ),
    inference(avatar_component_clause,[],[f4737]) ).

fof(f51900,plain,
    ( ~ spl17_209
    | spl17_92
    | ~ spl17_198 ),
    inference(avatar_split_clause,[],[f51899,f9937,f4832,f17210]) ).

fof(f4832,plain,
    ( spl17_92
  <=> forallprefers(err,sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_92])]) ).

fof(f51899,plain,
    ( ~ forallprefers(err,true)
    | spl17_92
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f4834,f9939]) ).

fof(f4834,plain,
    ( ~ forallprefers(err,sF13)
    | spl17_92 ),
    inference(avatar_component_clause,[],[f4832]) ).

fof(f51725,plain,
    ( spl17_276
    | spl17_106
    | ~ spl17_198 ),
    inference(avatar_split_clause,[],[f51724,f9937,f5417,f31682]) ).

fof(f31682,plain,
    ( spl17_276
  <=> true = not1(true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_276])]) ).

fof(f5417,plain,
    ( spl17_106
  <=> bool(sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_106])]) ).

fof(f51724,plain,
    ( true = not1(true)
    | spl17_106
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f51723,f9939]) ).

fof(f51723,plain,
    ( true = not1(sF13)
    | spl17_106
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f44915,f51665]) ).

fof(f51665,plain,
    ( ! [X2] : true = lazy_impl(true,X2)
    | spl17_106
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f51664,f283]) ).

fof(f283,plain,
    true = lazy_impl(true,true),
    inference(resolution,[],[f189,f132]) ).

fof(f132,plain,
    d(true),
    inference(cnf_transformation,[],[f3]) ).

fof(f51664,plain,
    ( ! [X2] : lazy_impl(true,true) = lazy_impl(true,X2)
    | spl17_106
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f44917,f9939]) ).

fof(f44917,plain,
    ( ! [X2] : lazy_impl(sF13,X2) = lazy_impl(true,sF13)
    | spl17_106 ),
    inference(resolution,[],[f5419,f205]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( bool(X0)
      | lazy_impl(true,X0) = lazy_impl(X0,X1) ),
    inference(definition_unfolding,[],[f147,f121]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( phi(X0) = lazy_impl(X0,X1)
      | bool(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( bool(X0)
      | phi(X0) = lazy_impl(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
     => phi(X0) = lazy_impl(X0,X1) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X3] :
      ( ~ bool(X2)
     => phi(X2) = lazy_impl(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lazy_impl_axiom1) ).

fof(f5419,plain,
    ( ~ bool(sF13)
    | spl17_106 ),
    inference(avatar_component_clause,[],[f5417]) ).

fof(f44915,plain,
    ( not1(sF13) = lazy_impl(true,sF13)
    | spl17_106 ),
    inference(resolution,[],[f5419,f200]) ).

fof(f51461,plain,
    ( spl17_329
    | ~ spl17_142
    | ~ spl17_481
    | ~ spl17_487 ),
    inference(avatar_split_clause,[],[f51460,f43298,f43231,f7988,f38653]) ).

fof(f7988,plain,
    ( spl17_142
  <=> true = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_142])]) ).

fof(f43231,plain,
    ( spl17_481
  <=> impl(true,sF12) = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_481])]) ).

fof(f43298,plain,
    ( spl17_487
  <=> err = not1(impl(true,sF12)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_487])]) ).

fof(f51460,plain,
    ( err = not1(true)
    | ~ spl17_142
    | ~ spl17_481
    | ~ spl17_487 ),
    inference(forward_demodulation,[],[f51459,f7990]) ).

fof(f7990,plain,
    ( true = sF12
    | ~ spl17_142 ),
    inference(avatar_component_clause,[],[f7988]) ).

fof(f51459,plain,
    ( err = not1(sF12)
    | ~ spl17_481
    | ~ spl17_487 ),
    inference(forward_demodulation,[],[f43299,f43233]) ).

fof(f43233,plain,
    ( impl(true,sF12) = sF12
    | ~ spl17_481 ),
    inference(avatar_component_clause,[],[f43231]) ).

fof(f43299,plain,
    ( err = not1(impl(true,sF12))
    | ~ spl17_487 ),
    inference(avatar_component_clause,[],[f43298]) ).

fof(f51441,plain,
    ( spl17_26
    | ~ spl17_184
    | ~ spl17_196 ),
    inference(avatar_split_clause,[],[f51440,f9874,f8586,f907]) ).

fof(f907,plain,
    ( spl17_26
  <=> true = prop(err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).

fof(f8586,plain,
    ( spl17_184
  <=> true = prop(sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_184])]) ).

fof(f9874,plain,
    ( spl17_196
  <=> err = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_196])]) ).

fof(f51440,plain,
    ( true = prop(err)
    | ~ spl17_184
    | ~ spl17_196 ),
    inference(forward_demodulation,[],[f8588,f9876]) ).

fof(f9876,plain,
    ( err = sF13
    | ~ spl17_196 ),
    inference(avatar_component_clause,[],[f9874]) ).

fof(f8588,plain,
    ( true = prop(sF13)
    | ~ spl17_184 ),
    inference(avatar_component_clause,[],[f8586]) ).

fof(f51335,plain,
    ( spl17_109
    | ~ spl17_2
    | ~ spl17_8
    | ~ spl17_31
    | ~ spl17_112 ),
    inference(avatar_split_clause,[],[f51334,f6436,f1017,f365,f249,f6230]) ).

fof(f6230,plain,
    ( spl17_109
  <=> sF9 = impl(true,sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_109])]) ).

fof(f365,plain,
    ( spl17_8
  <=> ! [X0] : d(lazy_impl(prop(X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).

fof(f1017,plain,
    ( spl17_31
  <=> ! [X0] :
        ( ~ d(lazy_impl(prop(X0),X0))
        | bool(lazy_impl(prop(X0),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).

fof(f51334,plain,
    ( sF9 = impl(true,sF9)
    | ~ spl17_2
    | ~ spl17_8
    | ~ spl17_31
    | ~ spl17_112 ),
    inference(forward_demodulation,[],[f51333,f6438]) ).

fof(f51333,plain,
    ( impl(true,lazy_impl(true,sF9)) = lazy_impl(true,sF9)
    | ~ spl17_2
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(forward_demodulation,[],[f46586,f250]) ).

fof(f46586,plain,
    ( impl(true,lazy_impl(sF10,sF9)) = lazy_impl(sF10,sF9)
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(resolution,[],[f8365,f163]) ).

fof(f8365,plain,
    ( bool(lazy_impl(sF10,sF9))
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(trivial_inequality_removal,[],[f8343]) ).

fof(f8343,plain,
    ( bool(lazy_impl(sF10,sF9))
    | true != true
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(superposition,[],[f166,f4057]) ).

fof(f4057,plain,
    ( true = prop(lazy_impl(sF10,sF9))
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(superposition,[],[f3804,f229]) ).

fof(f3804,plain,
    ( ! [X3] : true = prop(lazy_impl(prop(X3),X3))
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(resolution,[],[f3660,f165]) ).

fof(f3660,plain,
    ( ! [X0] : bool(lazy_impl(prop(X0),X0))
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(resolution,[],[f366,f1018]) ).

fof(f1018,plain,
    ( ! [X0] :
        ( ~ d(lazy_impl(prop(X0),X0))
        | bool(lazy_impl(prop(X0),X0)) )
    | ~ spl17_31 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f366,plain,
    ( ! [X0] : d(lazy_impl(prop(X0),X0))
    | ~ spl17_8 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f166,plain,
    ! [X0] :
      ( true != prop(X0)
      | bool(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f51318,plain,
    ( ~ spl17_272
    | ~ spl17_70
    | spl17_544 ),
    inference(avatar_split_clause,[],[f49266,f49155,f2819,f31574]) ).

fof(f49155,plain,
    ( spl17_544
  <=> d(impl(true,sF9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_544])]) ).

fof(f49266,plain,
    ( ~ d(sF11)
    | ~ spl17_70
    | spl17_544 ),
    inference(forward_demodulation,[],[f49156,f48991]) ).

fof(f49156,plain,
    ( ~ d(impl(true,sF9))
    | spl17_544 ),
    inference(avatar_component_clause,[],[f49155]) ).

fof(f51306,plain,
    ( spl17_52
    | ~ spl17_186
    | ~ spl17_196 ),
    inference(avatar_split_clause,[],[f51305,f9874,f8595,f1667]) ).

fof(f1667,plain,
    ( spl17_52
  <=> true = impl(false1,err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_52])]) ).

fof(f8595,plain,
    ( spl17_186
  <=> true = impl(false1,sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_186])]) ).

fof(f51305,plain,
    ( true = impl(false1,err)
    | ~ spl17_186
    | ~ spl17_196 ),
    inference(forward_demodulation,[],[f8597,f9876]) ).

fof(f8597,plain,
    ( true = impl(false1,sF13)
    | ~ spl17_186 ),
    inference(avatar_component_clause,[],[f8595]) ).

fof(f51295,plain,
    ( spl17_194
    | spl17_119
    | ~ spl17_36 ),
    inference(avatar_split_clause,[],[f49838,f1413,f7331,f9647]) ).

fof(f9647,plain,
    ( spl17_194
  <=> true = prop(sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_194])]) ).

fof(f7331,plain,
    ( spl17_119
  <=> sF12 = not1(sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_119])]) ).

fof(f49838,plain,
    ( sF12 = not1(sF11)
    | true = prop(sF11)
    | ~ spl17_36 ),
    inference(superposition,[],[f43610,f13239]) ).

fof(f13239,plain,
    ! [X3] :
      ( impl(false1,X3) = not1(X3)
      | true = prop(X3) ),
    inference(duplicate_literal_removal,[],[f13168]) ).

fof(f13168,plain,
    ! [X3] :
      ( impl(false1,X3) = not1(X3)
      | true = prop(X3)
      | true = prop(X3) ),
    inference(superposition,[],[f1273,f302]) ).

fof(f43610,plain,
    ( sF12 = impl(false1,sF11)
    | ~ spl17_36 ),
    inference(superposition,[],[f231,f1415]) ).

fof(f51284,plain,
    ( ~ spl17_103
    | ~ spl17_196
    | spl17_281 ),
    inference(avatar_split_clause,[],[f51283,f33273,f9874,f5234]) ).

fof(f5234,plain,
    ( spl17_103
  <=> false1 = prop(err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_103])]) ).

fof(f33273,plain,
    ( spl17_281
  <=> false1 = prop(sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_281])]) ).

fof(f51283,plain,
    ( false1 != prop(err)
    | ~ spl17_196
    | spl17_281 ),
    inference(forward_demodulation,[],[f33274,f9876]) ).

fof(f33274,plain,
    ( false1 != prop(sF13)
    | spl17_281 ),
    inference(avatar_component_clause,[],[f33273]) ).

fof(f51257,plain,
    ( spl17_80
    | spl17_142
    | ~ spl17_36 ),
    inference(avatar_split_clause,[],[f49839,f1413,f7988,f3909]) ).

fof(f3909,plain,
    ( spl17_80
  <=> false1 = prop(sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_80])]) ).

fof(f49839,plain,
    ( true = sF12
    | false1 = prop(sF11)
    | ~ spl17_36 ),
    inference(superposition,[],[f43610,f294]) ).

fof(f294,plain,
    ! [X0] :
      ( true = impl(false1,X0)
      | prop(X0) = false1 ),
    inference(resolution,[],[f213,f215]) ).

fof(f50715,plain,
    ( ~ spl17_30
    | spl17_51
    | ~ spl17_32
    | ~ spl17_105
    | spl17_459 ),
    inference(avatar_split_clause,[],[f50713,f41741,f5413,f1020,f1613,f1013]) ).

fof(f1013,plain,
    ( spl17_30
  <=> bool(false1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_30])]) ).

fof(f1020,plain,
    ( spl17_32
  <=> d(false1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_32])]) ).

fof(f41741,plain,
    ( spl17_459
  <=> forallprefers(err,false1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_459])]) ).

fof(f50713,plain,
    ( ~ d(err)
    | ~ d(false1)
    | bool(err)
    | ~ bool(false1)
    | spl17_459 ),
    inference(resolution,[],[f41743,f127]) ).

fof(f41743,plain,
    ( ~ forallprefers(err,false1)
    | spl17_459 ),
    inference(avatar_component_clause,[],[f41741]) ).

fof(f50705,plain,
    ( ~ spl17_459
    | ~ spl17_3
    | spl17_51
    | ~ spl17_402 ),
    inference(avatar_split_clause,[],[f50675,f41238,f1613,f258,f41741]) ).

fof(f41238,plain,
    ( spl17_402
  <=> ! [X18] : ~ forallprefers(impl(sF10,X18),false1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_402])]) ).

fof(f50675,plain,
    ( ~ forallprefers(err,false1)
    | ~ spl17_3
    | spl17_51
    | ~ spl17_402 ),
    inference(superposition,[],[f49768,f5531]) ).

fof(f49768,plain,
    ( ! [X0] : ~ forallprefers(impl(false1,X0),false1)
    | ~ spl17_3
    | ~ spl17_402 ),
    inference(superposition,[],[f41239,f259]) ).

fof(f41239,plain,
    ( ! [X18] : ~ forallprefers(impl(sF10,X18),false1)
    | ~ spl17_402 ),
    inference(avatar_component_clause,[],[f41238]) ).

fof(f49517,plain,
    ( spl17_51
    | ~ spl17_92
    | ~ spl17_196
    | ~ spl17_205 ),
    inference(avatar_contradiction_clause,[],[f49516]) ).

fof(f49516,plain,
    ( $false
    | spl17_51
    | ~ spl17_92
    | ~ spl17_196
    | ~ spl17_205 ),
    inference(resolution,[],[f49493,f17356]) ).

fof(f17356,plain,
    ( ~ forallprefers(err,err)
    | spl17_51
    | ~ spl17_205 ),
    inference(forward_demodulation,[],[f17355,f284]) ).

fof(f17355,plain,
    ( ~ forallprefers(lazy_impl(true,err),lazy_impl(true,err))
    | spl17_51
    | ~ spl17_205 ),
    inference(forward_demodulation,[],[f17279,f16979]) ).

fof(f16979,plain,
    ( ! [X2] : true = prop(sK2(err,X2))
    | ~ spl17_205 ),
    inference(avatar_component_clause,[],[f16978]) ).

fof(f16978,plain,
    ( spl17_205
  <=> ! [X2] : true = prop(sK2(err,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_205])]) ).

fof(f17279,plain,
    ( ! [X42] : ~ forallprefers(lazy_impl(true,err),lazy_impl(prop(sK2(err,X42)),err))
    | spl17_51
    | ~ spl17_205 ),
    inference(superposition,[],[f6971,f16979]) ).

fof(f6971,plain,
    ( ! [X10,X11] : ~ forallprefers(lazy_impl(prop(X11),err),lazy_impl(prop(sK2(err,X10)),err))
    | spl17_51 ),
    inference(forward_demodulation,[],[f6970,f5535]) ).

fof(f6970,plain,
    ( ! [X10,X11] : ~ forallprefers(lazy_impl(prop(X11),impl(err,X11)),lazy_impl(prop(sK2(err,X10)),err))
    | spl17_51 ),
    inference(forward_demodulation,[],[f6969,f5535]) ).

fof(f6969,plain,
    ( ! [X10,X11] : ~ forallprefers(lazy_impl(prop(X11),impl(impl(err,impl(X10,X11)),X11)),lazy_impl(prop(sK2(err,X10)),err))
    | spl17_51 ),
    inference(forward_demodulation,[],[f6960,f5535]) ).

fof(f6960,plain,
    ( ! [X10,X11] : ~ forallprefers(lazy_impl(prop(X11),impl(impl(err,impl(X10,X11)),X11)),lazy_impl(prop(sK2(err,X10)),impl(err,sK2(err,X10))))
    | spl17_51 ),
    inference(superposition,[],[f188,f5535]) ).

fof(f49493,plain,
    ( forallprefers(err,err)
    | ~ spl17_92
    | ~ spl17_196 ),
    inference(superposition,[],[f4833,f9876]) ).

fof(f4833,plain,
    ( forallprefers(err,sF13)
    | ~ spl17_92 ),
    inference(avatar_component_clause,[],[f4832]) ).

fof(f49466,plain,
    ( spl17_28
    | ~ spl17_102
    | ~ spl17_136 ),
    inference(avatar_split_clause,[],[f49465,f7943,f5230,f964]) ).

fof(f964,plain,
    ( spl17_28
  <=> err = false1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).

fof(f7943,plain,
    ( spl17_136
  <=> false1 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_136])]) ).

fof(f49465,plain,
    ( err = false1
    | ~ spl17_102
    | ~ spl17_136 ),
    inference(forward_demodulation,[],[f7945,f5232]) ).

fof(f5232,plain,
    ( err = sF12
    | ~ spl17_102 ),
    inference(avatar_component_clause,[],[f5230]) ).

fof(f7945,plain,
    ( false1 = sF12
    | ~ spl17_136 ),
    inference(avatar_component_clause,[],[f7943]) ).

fof(f49462,plain,
    ( spl17_26
    | ~ spl17_102
    | ~ spl17_480 ),
    inference(avatar_split_clause,[],[f49461,f43219,f5230,f907]) ).

fof(f43219,plain,
    ( spl17_480
  <=> true = prop(sF12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_480])]) ).

fof(f49461,plain,
    ( true = prop(err)
    | ~ spl17_102
    | ~ spl17_480 ),
    inference(forward_demodulation,[],[f43221,f5232]) ).

fof(f43221,plain,
    ( true = prop(sF12)
    | ~ spl17_480 ),
    inference(avatar_component_clause,[],[f43219]) ).

fof(f49427,plain,
    ( spl17_37
    | ~ spl17_550
    | ~ spl17_196
    | ~ spl17_241
    | ~ spl17_281 ),
    inference(avatar_split_clause,[],[f49422,f33273,f31227,f9874,f49424,f1417]) ).

fof(f31227,plain,
    ( spl17_241
  <=> ! [X165] : err != impl(sF13,X165) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_241])]) ).

fof(f49422,plain,
    ( err != impl(false1,err)
    | true = false1
    | ~ spl17_196
    | ~ spl17_241
    | ~ spl17_281 ),
    inference(forward_demodulation,[],[f49421,f9876]) ).

fof(f49421,plain,
    ( true = false1
    | err != impl(false1,sF13)
    | ~ spl17_241
    | ~ spl17_281 ),
    inference(forward_demodulation,[],[f48484,f33275]) ).

fof(f33275,plain,
    ( false1 = prop(sF13)
    | ~ spl17_281 ),
    inference(avatar_component_clause,[],[f33273]) ).

fof(f48484,plain,
    ( true = prop(sF13)
    | err != impl(false1,sF13)
    | ~ spl17_241 ),
    inference(superposition,[],[f31228,f13238]) ).

fof(f31228,plain,
    ( ! [X165] : err != impl(sF13,X165)
    | ~ spl17_241 ),
    inference(avatar_component_clause,[],[f31227]) ).

fof(f49418,plain,
    ( ~ spl17_53
    | ~ spl17_102
    | spl17_481 ),
    inference(avatar_split_clause,[],[f49417,f43231,f5230,f1673]) ).

fof(f49417,plain,
    ( err != impl(true,err)
    | ~ spl17_102
    | spl17_481 ),
    inference(forward_demodulation,[],[f43232,f5232]) ).

fof(f43232,plain,
    ( impl(true,sF12) != sF12
    | spl17_481 ),
    inference(avatar_component_clause,[],[f43231]) ).

fof(f49416,plain,
    ( ~ spl17_27
    | ~ spl17_53
    | ~ spl17_102
    | spl17_487 ),
    inference(avatar_split_clause,[],[f49415,f43298,f5230,f1673,f911]) ).

fof(f911,plain,
    ( spl17_27
  <=> err = not1(err) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).

fof(f49415,plain,
    ( err != not1(err)
    | ~ spl17_53
    | ~ spl17_102
    | spl17_487 ),
    inference(forward_demodulation,[],[f49414,f1675]) ).

fof(f49414,plain,
    ( err != not1(impl(true,err))
    | ~ spl17_102
    | spl17_487 ),
    inference(forward_demodulation,[],[f43300,f5232]) ).

fof(f43300,plain,
    ( err != not1(impl(true,sF12))
    | spl17_487 ),
    inference(avatar_component_clause,[],[f43298]) ).

fof(f49409,plain,
    ( spl17_26
    | spl17_196
    | ~ spl17_53
    | ~ spl17_102 ),
    inference(avatar_split_clause,[],[f49408,f5230,f1673,f9874,f907]) ).

fof(f49408,plain,
    ( err = sF13
    | true = prop(err)
    | ~ spl17_53
    | ~ spl17_102 ),
    inference(forward_demodulation,[],[f49407,f5232]) ).

fof(f49407,plain,
    ( err = sF13
    | true = prop(sF12)
    | ~ spl17_53
    | ~ spl17_102 ),
    inference(forward_demodulation,[],[f49406,f1675]) ).

fof(f49406,plain,
    ( sF13 = impl(true,err)
    | true = prop(sF12)
    | ~ spl17_102 ),
    inference(forward_demodulation,[],[f15893,f5232]) ).

fof(f15893,plain,
    ( impl(true,sF12) = sF13
    | true = prop(sF12) ),
    inference(superposition,[],[f13547,f232]) ).

fof(f49401,plain,
    ( spl17_196
    | spl17_37
    | ~ spl17_53
    | ~ spl17_102
    | ~ spl17_103 ),
    inference(avatar_split_clause,[],[f49400,f5234,f5230,f1673,f1417,f9874]) ).

fof(f49400,plain,
    ( true = false1
    | err = sF13
    | ~ spl17_53
    | ~ spl17_102
    | ~ spl17_103 ),
    inference(forward_demodulation,[],[f49399,f1675]) ).

fof(f49399,plain,
    ( sF13 = impl(true,err)
    | true = false1
    | ~ spl17_102
    | ~ spl17_103 ),
    inference(forward_demodulation,[],[f49398,f5236]) ).

fof(f5236,plain,
    ( false1 = prop(err)
    | ~ spl17_103 ),
    inference(avatar_component_clause,[],[f5234]) ).

fof(f49398,plain,
    ( true = prop(err)
    | sF13 = impl(true,err)
    | ~ spl17_102 ),
    inference(forward_demodulation,[],[f49397,f5232]) ).

fof(f49397,plain,
    ( impl(true,sF12) = sF13
    | true = prop(err)
    | ~ spl17_102 ),
    inference(forward_demodulation,[],[f15991,f5232]) ).

fof(f15991,plain,
    ( true = prop(sF12)
    | impl(true,sF12) = sF13 ),
    inference(superposition,[],[f232,f13547]) ).

fof(f49259,plain,
    ( spl17_480
    | spl17_136
    | ~ spl17_479
    | ~ spl17_481 ),
    inference(avatar_split_clause,[],[f49258,f43231,f43212,f7943,f43219]) ).

fof(f43212,plain,
    ( spl17_479
  <=> false1 = not1(sF12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_479])]) ).

fof(f49258,plain,
    ( false1 = sF12
    | true = prop(sF12)
    | ~ spl17_479
    | ~ spl17_481 ),
    inference(forward_demodulation,[],[f48223,f43214]) ).

fof(f43214,plain,
    ( false1 = not1(sF12)
    | ~ spl17_479 ),
    inference(avatar_component_clause,[],[f43212]) ).

fof(f48223,plain,
    ( true = prop(sF12)
    | sF12 = not1(sF12)
    | ~ spl17_481 ),
    inference(superposition,[],[f43233,f13546]) ).

fof(f13546,plain,
    ! [X3] :
      ( impl(true,X3) = not1(X3)
      | true = prop(X3) ),
    inference(duplicate_literal_removal,[],[f13474]) ).

fof(f13474,plain,
    ! [X3] :
      ( true = prop(X3)
      | impl(true,X3) = not1(X3)
      | true = prop(X3) ),
    inference(superposition,[],[f4956,f302]) ).

fof(f49253,plain,
    ( spl17_272
    | ~ spl17_70
    | ~ spl17_544 ),
    inference(avatar_split_clause,[],[f49252,f49155,f2819,f31574]) ).

fof(f49252,plain,
    ( d(sF11)
    | ~ spl17_70
    | ~ spl17_544 ),
    inference(forward_demodulation,[],[f49157,f48991]) ).

fof(f49157,plain,
    ( d(impl(true,sF9))
    | ~ spl17_544 ),
    inference(avatar_component_clause,[],[f49155]) ).

fof(f48938,plain,
    ( spl17_193
    | spl17_50 ),
    inference(avatar_split_clause,[],[f46581,f1606,f9175]) ).

fof(f46581,plain,
    ( true = prop(sK5)
    | spl17_50 ),
    inference(trivial_inequality_removal,[],[f46579]) ).

fof(f46579,plain,
    ( false1 != false1
    | true = prop(sK5)
    | spl17_50 ),
    inference(superposition,[],[f1607,f253]) ).

fof(f253,plain,
    ! [X0] :
      ( prop(X0) = false1
      | true = prop(X0) ),
    inference(resolution,[],[f215,f165]) ).

fof(f1607,plain,
    ( false1 != prop(sK5)
    | spl17_50 ),
    inference(avatar_component_clause,[],[f1606]) ).

fof(f48937,plain,
    ( spl17_70
    | ~ spl17_142
    | ~ spl17_192 ),
    inference(avatar_split_clause,[],[f48936,f8948,f7988,f2819]) ).

fof(f8948,plain,
    ( spl17_192
  <=> sF12 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_192])]) ).

fof(f48936,plain,
    ( true = sK5
    | ~ spl17_142
    | ~ spl17_192 ),
    inference(forward_demodulation,[],[f8950,f7990]) ).

fof(f8950,plain,
    ( sF12 = sK5
    | ~ spl17_192 ),
    inference(avatar_component_clause,[],[f8948]) ).

fof(f48935,plain,
    ( spl17_70
    | spl17_69
    | spl17_50 ),
    inference(avatar_split_clause,[],[f46580,f1606,f2815,f2819]) ).

fof(f46580,plain,
    ( false1 = sK5
    | true = sK5
    | spl17_50 ),
    inference(trivial_inequality_removal,[],[f46578]) ).

fof(f46578,plain,
    ( true = sK5
    | false1 = sK5
    | false1 != false1
    | spl17_50 ),
    inference(superposition,[],[f1607,f310]) ).

fof(f48931,plain,
    ( ~ spl17_69
    | spl17_49
    | ~ spl17_156 ),
    inference(avatar_split_clause,[],[f48930,f8089,f1601,f2815]) ).

fof(f48930,plain,
    ( false1 != sK5
    | spl17_49
    | ~ spl17_156 ),
    inference(forward_demodulation,[],[f1602,f8091]) ).

fof(f1602,plain,
    ( sK5 != sF16
    | spl17_49 ),
    inference(avatar_component_clause,[],[f1601]) ).

fof(f48928,plain,
    ( spl17_193
    | ~ spl17_67 ),
    inference(avatar_split_clause,[],[f44898,f2789,f9175]) ).

fof(f44898,plain,
    ( true = prop(sK5)
    | ~ spl17_67 ),
    inference(resolution,[],[f2791,f165]) ).

fof(f48897,plain,
    ( ~ spl17_302
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f48896,f45315,f2815,f1413,f34476]) ).

fof(f48896,plain,
    ( ~ forallprefers(false1,true)
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f48895,f285]) ).

fof(f48895,plain,
    ( ~ forallprefers(lazy_impl(true,false1),true)
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f48894,f237]) ).

fof(f48894,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),false1),true)
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f48893,f280]) ).

fof(f48893,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),impl(true,false1)),true)
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f48692,f293]) ).

fof(f293,plain,
    true = impl(false1,true),
    inference(resolution,[],[f213,f227]) ).

fof(f48692,plain,
    ( ~ forallprefers(lazy_impl(prop(false1),impl(impl(false1,true),false1)),true)
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(superposition,[],[f46854,f292]) ).

fof(f46854,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(false1,impl(false1,X0)),X0)),true)
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f46853,f1415]) ).

fof(f46853,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(false1,X0)),X0)),true)
    | ~ spl17_69
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f46852,f2817]) ).

fof(f46852,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),true)
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f6564,f45317]) ).

fof(f48806,plain,
    ( ~ spl17_302
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(avatar_split_clause,[],[f48805,f45315,f41162,f2815,f1413,f258,f34476]) ).

fof(f48805,plain,
    ( ~ forallprefers(false1,true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f48804,f285]) ).

fof(f48804,plain,
    ( ~ forallprefers(lazy_impl(true,false1),true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f48803,f280]) ).

fof(f48803,plain,
    ( ~ forallprefers(lazy_impl(true,impl(true,false1)),true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f48802,f293]) ).

fof(f48802,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,true),false1)),true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f48801,f292]) ).

fof(f48801,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(false1,false1)),false1)),true)
    | ~ spl17_3
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(forward_demodulation,[],[f48677,f259]) ).

fof(f48677,plain,
    ( ~ forallprefers(lazy_impl(true,impl(impl(false1,impl(false1,sF10)),sF10)),true)
    | ~ spl17_36
    | ~ spl17_69
    | ~ spl17_388
    | ~ spl17_528 ),
    inference(superposition,[],[f46854,f41164]) ).

fof(f47831,plain,
    ( spl17_196
    | ~ spl17_19
    | ~ spl17_23 ),
    inference(avatar_split_clause,[],[f47755,f733,f712,f9874]) ).

fof(f712,plain,
    ( spl17_19
  <=> sF13 = lazy_impl(true,sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).

fof(f47755,plain,
    ( err = sF13
    | ~ spl17_19
    | ~ spl17_23 ),
    inference(superposition,[],[f735,f714]) ).

fof(f714,plain,
    ( sF13 = lazy_impl(true,sF13)
    | ~ spl17_19 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f47178,plain,
    ( ~ spl17_142
    | spl17_479 ),
    inference(avatar_contradiction_clause,[],[f47177]) ).

fof(f47177,plain,
    ( $false
    | ~ spl17_142
    | spl17_479 ),
    inference(trivial_inequality_removal,[],[f47176]) ).

fof(f47176,plain,
    ( false1 != false1
    | ~ spl17_142
    | spl17_479 ),
    inference(superposition,[],[f46186,f194]) ).

fof(f194,plain,
    false1 = not1(true),
    inference(definition_unfolding,[],[f131,f113]) ).

fof(f131,plain,
    false = not1(true),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    false = not1(true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1_axiom3) ).

fof(f46186,plain,
    ( false1 != not1(true)
    | ~ spl17_142
    | spl17_479 ),
    inference(superposition,[],[f43213,f7990]) ).

fof(f43213,plain,
    ( false1 != not1(sF12)
    | spl17_479 ),
    inference(avatar_component_clause,[],[f43212]) ).

fof(f46960,plain,
    ( spl17_37
    | ~ spl17_276 ),
    inference(avatar_split_clause,[],[f46958,f31682,f1417]) ).

fof(f46958,plain,
    ( true = false1
    | ~ spl17_276 ),
    inference(superposition,[],[f194,f31683]) ).

fof(f31683,plain,
    ( true = not1(true)
    | ~ spl17_276 ),
    inference(avatar_component_clause,[],[f31682]) ).

fof(f45565,plain,
    ( spl17_528
    | ~ spl17_3 ),
    inference(avatar_split_clause,[],[f45564,f258,f45315]) ).

fof(f45564,plain,
    ( true = sF14
    | ~ spl17_3 ),
    inference(forward_demodulation,[],[f45534,f221]) ).

fof(f221,plain,
    ! [X0] : true = lazy_impl(false1,X0),
    inference(definition_unfolding,[],[f177,f113]) ).

fof(f177,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3] : true = lazy_impl(false,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lazy_impl_axiom2) ).

fof(f45534,plain,
    ( sF14 = lazy_impl(false1,sF13)
    | ~ spl17_3 ),
    inference(superposition,[],[f233,f259]) ).

fof(f45320,plain,
    ( spl17_528
    | spl17_56
    | spl17_471 ),
    inference(avatar_split_clause,[],[f10892,f42166,f1983,f45315]) ).

fof(f1983,plain,
    ( spl17_56
  <=> sF15 = not1(sF14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_56])]) ).

fof(f10892,plain,
    ( false1 = sF14
    | sF15 = not1(sF14)
    | true = sF14 ),
    inference(superposition,[],[f309,f234]) ).

fof(f309,plain,
    ! [X0] :
      ( lazy_impl(true,X0) = not1(X0)
      | false1 = X0
      | true = X0 ),
    inference(resolution,[],[f217,f200]) ).

fof(f45030,plain,
    ( spl17_142
    | ~ spl17_36
    | ~ spl17_130 ),
    inference(avatar_split_clause,[],[f45029,f7903,f1413,f7988]) ).

fof(f45029,plain,
    ( true = sF12
    | ~ spl17_36
    | ~ spl17_130 ),
    inference(forward_demodulation,[],[f45028,f293]) ).

fof(f45028,plain,
    ( impl(false1,true) = sF12
    | ~ spl17_36
    | ~ spl17_130 ),
    inference(forward_demodulation,[],[f45026,f1415]) ).

fof(f45026,plain,
    ( sF12 = impl(sK6,true)
    | ~ spl17_130 ),
    inference(superposition,[],[f231,f7905]) ).

fof(f7905,plain,
    ( true = sF11
    | ~ spl17_130 ),
    inference(avatar_component_clause,[],[f7903]) ).

fof(f44844,plain,
    ( spl17_276
    | ~ spl17_125
    | ~ spl17_130 ),
    inference(avatar_split_clause,[],[f44843,f7903,f7474,f31682]) ).

fof(f44843,plain,
    ( true = not1(true)
    | ~ spl17_125
    | ~ spl17_130 ),
    inference(forward_demodulation,[],[f7476,f7905]) ).

fof(f44484,plain,
    ( ~ spl17_11
    | ~ spl17_130
    | spl17_272 ),
    inference(avatar_split_clause,[],[f44483,f31574,f7903,f401]) ).

fof(f44483,plain,
    ( ~ d(true)
    | ~ spl17_130
    | spl17_272 ),
    inference(forward_demodulation,[],[f31576,f7905]) ).

fof(f31576,plain,
    ( ~ d(sF11)
    | spl17_272 ),
    inference(avatar_component_clause,[],[f31574]) ).

fof(f44444,plain,
    ( spl17_29
    | ~ spl17_120
    | ~ spl17_130 ),
    inference(avatar_split_clause,[],[f44443,f7903,f7338,f968]) ).

fof(f44443,plain,
    ( true = err
    | ~ spl17_120
    | ~ spl17_130 ),
    inference(forward_demodulation,[],[f44442,f283]) ).

fof(f44442,plain,
    ( err = lazy_impl(true,true)
    | ~ spl17_120
    | ~ spl17_130 ),
    inference(forward_demodulation,[],[f7340,f7905]) ).

fof(f44433,plain,
    ( spl17_26
    | ~ spl17_13
    | ~ spl17_126 ),
    inference(avatar_split_clause,[],[f44432,f7497,f501,f907]) ).

fof(f501,plain,
    ( spl17_13
  <=> true = prop(sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).

fof(f44432,plain,
    ( true = prop(err)
    | ~ spl17_13
    | ~ spl17_126 ),
    inference(forward_demodulation,[],[f503,f7499]) ).

fof(f7499,plain,
    ( err = sF9
    | ~ spl17_126 ),
    inference(avatar_component_clause,[],[f7497]) ).

fof(f503,plain,
    ( true = prop(sF9)
    | ~ spl17_13 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f44392,plain,
    ( spl17_185
    | ~ spl17_20
    | ~ spl17_56
    | ~ spl17_501 ),
    inference(avatar_split_clause,[],[f44391,f43665,f1983,f717,f8590]) ).

fof(f8590,plain,
    ( spl17_185
  <=> sF13 = not1(sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_185])]) ).

fof(f717,plain,
    ( spl17_20
  <=> sF13 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).

fof(f43665,plain,
    ( spl17_501
  <=> sF13 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_501])]) ).

fof(f44391,plain,
    ( sF13 = not1(sF13)
    | ~ spl17_20
    | ~ spl17_56
    | ~ spl17_501 ),
    inference(forward_demodulation,[],[f44390,f43667]) ).

fof(f43667,plain,
    ( sF13 = sF15
    | ~ spl17_501 ),
    inference(avatar_component_clause,[],[f43665]) ).

fof(f44390,plain,
    ( not1(sF13) = sF15
    | ~ spl17_20
    | ~ spl17_56 ),
    inference(forward_demodulation,[],[f1985,f719]) ).

fof(f719,plain,
    ( sF13 = sF14
    | ~ spl17_20 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f1985,plain,
    ( sF15 = not1(sF14)
    | ~ spl17_56 ),
    inference(avatar_component_clause,[],[f1983]) ).

fof(f44200,plain,
    ( spl17_79
    | ~ spl17_36
    | ~ spl17_123
    | spl17_273 ),
    inference(avatar_split_clause,[],[f44002,f31578,f7355,f1413,f3905]) ).

fof(f44002,plain,
    ( sF12 = sF11
    | ~ spl17_36
    | ~ spl17_123
    | spl17_273 ),
    inference(forward_demodulation,[],[f44001,f7357]) ).

fof(f44001,plain,
    ( sF12 = lazy_impl(true,sF11)
    | ~ spl17_36
    | spl17_273 ),
    inference(forward_demodulation,[],[f43972,f43610]) ).

fof(f43972,plain,
    ( lazy_impl(true,sF11) = impl(false1,sF11)
    | spl17_273 ),
    inference(resolution,[],[f31579,f1267]) ).

fof(f44166,plain,
    ( spl17_102
    | ~ spl17_36
    | ~ spl17_123
    | spl17_273
    | ~ spl17_380 ),
    inference(avatar_split_clause,[],[f44165,f40666,f31578,f7355,f1413,f5230]) ).

fof(f44165,plain,
    ( err = sF12
    | ~ spl17_36
    | ~ spl17_123
    | spl17_273
    | ~ spl17_380 ),
    inference(forward_demodulation,[],[f44002,f40668]) ).

fof(f44164,plain,
    ( spl17_83
    | spl17_67
    | ~ spl17_336
    | ~ spl17_380 ),
    inference(avatar_split_clause,[],[f44163,f40666,f38829,f2789,f4133]) ).

fof(f44163,plain,
    ( err = lazy_impl(true,sK5)
    | spl17_67
    | ~ spl17_336
    | ~ spl17_380 ),
    inference(forward_demodulation,[],[f43863,f40668]) ).

fof(f43863,plain,
    ( lazy_impl(true,sK5) = sF11
    | spl17_67
    | ~ spl17_336 ),
    inference(forward_demodulation,[],[f43832,f38830]) ).

fof(f43832,plain,
    ( ! [X4] : lazy_impl(true,sK5) = impl(sK5,X4)
    | spl17_67 ),
    inference(resolution,[],[f2790,f212]) ).

fof(f44132,plain,
    ( spl17_83
    | spl17_67
    | ~ spl17_380
    | ~ spl17_381 ),
    inference(avatar_split_clause,[],[f44131,f40908,f40666,f2789,f4133]) ).

fof(f44131,plain,
    ( err = lazy_impl(true,sK5)
    | spl17_67
    | ~ spl17_380
    | ~ spl17_381 ),
    inference(forward_demodulation,[],[f43852,f40668]) ).

fof(f43852,plain,
    ( lazy_impl(true,sK5) = sF11
    | spl17_67
    | ~ spl17_381 ),
    inference(forward_demodulation,[],[f43828,f40910]) ).

fof(f43828,plain,
    ( lazy_impl(true,sK5) = not1(sK5)
    | spl17_67 ),
    inference(resolution,[],[f2790,f200]) ).

fof(f44114,plain,
    ( spl17_192
    | ~ spl17_36
    | ~ spl17_81
    | ~ spl17_337 ),
    inference(avatar_split_clause,[],[f44049,f38835,f4122,f1413,f8948]) ).

fof(f44049,plain,
    ( sF12 = sK5
    | ~ spl17_36
    | ~ spl17_81
    | ~ spl17_337 ),
    inference(forward_demodulation,[],[f44048,f4124]) ).

fof(f44048,plain,
    ( sF12 = impl(false1,sK5)
    | ~ spl17_36
    | ~ spl17_337 ),
    inference(forward_demodulation,[],[f44044,f1415]) ).

fof(f44044,plain,
    ( sF12 = impl(sK6,sK5)
    | ~ spl17_337 ),
    inference(superposition,[],[f231,f38837]) ).

fof(f43885,plain,
    ( spl17_193
    | ~ spl17_49
    | ~ spl17_78 ),
    inference(avatar_split_clause,[],[f43884,f3380,f1601,f9175]) ).

fof(f43884,plain,
    ( true = prop(sK5)
    | ~ spl17_49
    | ~ spl17_78 ),
    inference(forward_demodulation,[],[f43875,f1603]) ).

fof(f43875,plain,
    ( true = prop(sF16)
    | ~ spl17_78 ),
    inference(resolution,[],[f3381,f165]) ).

fof(f3381,plain,
    ( bool(sF16)
    | ~ spl17_78 ),
    inference(avatar_component_clause,[],[f3380]) ).

fof(f43734,plain,
    ( spl17_501
    | ~ spl17_19
    | ~ spl17_20 ),
    inference(avatar_split_clause,[],[f9909,f717,f712,f43665]) ).

fof(f9909,plain,
    ( sF13 = sF15
    | ~ spl17_19
    | ~ spl17_20 ),
    inference(forward_demodulation,[],[f3440,f714]) ).

fof(f3440,plain,
    ( sF15 = lazy_impl(true,sF13)
    | ~ spl17_20 ),
    inference(superposition,[],[f234,f719]) ).

fof(f43729,plain,
    ( ~ spl17_184
    | ~ spl17_20
    | spl17_57 ),
    inference(avatar_split_clause,[],[f43728,f1987,f717,f8586]) ).

fof(f1987,plain,
    ( spl17_57
  <=> true = prop(sF14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_57])]) ).

fof(f43728,plain,
    ( true != prop(sF13)
    | ~ spl17_20
    | spl17_57 ),
    inference(forward_demodulation,[],[f1988,f719]) ).

fof(f1988,plain,
    ( true != prop(sF14)
    | spl17_57 ),
    inference(avatar_component_clause,[],[f1987]) ).

fof(f43713,plain,
    ( spl17_156
    | ~ spl17_36
    | ~ spl17_325 ),
    inference(avatar_split_clause,[],[f43620,f38555,f1413,f8089]) ).

fof(f43620,plain,
    ( false1 = sF16
    | ~ spl17_36
    | ~ spl17_325 ),
    inference(forward_demodulation,[],[f43611,f38557]) ).

fof(f38557,plain,
    ( false1 = and1(false1,sK5)
    | ~ spl17_325 ),
    inference(avatar_component_clause,[],[f38555]) ).

fof(f43662,plain,
    ( ~ spl17_19
    | ~ spl17_20
    | ~ spl17_36
    | ~ spl17_40
    | ~ spl17_197 ),
    inference(avatar_contradiction_clause,[],[f43661]) ).

fof(f43661,plain,
    ( $false
    | ~ spl17_19
    | ~ spl17_20
    | ~ spl17_36
    | ~ spl17_40
    | ~ spl17_197 ),
    inference(trivial_inequality_removal,[],[f43658]) ).

fof(f43658,plain,
    ( false1 != false1
    | ~ spl17_19
    | ~ spl17_20
    | ~ spl17_36
    | ~ spl17_40
    | ~ spl17_197 ),
    inference(superposition,[],[f43628,f41474]) ).

fof(f41474,plain,
    ( false1 = sF15
    | ~ spl17_19
    | ~ spl17_20
    | ~ spl17_197 ),
    inference(forward_demodulation,[],[f9909,f9935]) ).

fof(f9935,plain,
    ( false1 = sF13
    | ~ spl17_197 ),
    inference(avatar_component_clause,[],[f9933]) ).

fof(f9933,plain,
    ( spl17_197
  <=> false1 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_197])]) ).

fof(f43628,plain,
    ( false1 != sF15
    | ~ spl17_36
    | ~ spl17_40 ),
    inference(forward_demodulation,[],[f43627,f1415]) ).

fof(f43627,plain,
    ( sF15 != sK6
    | ~ spl17_40 ),
    inference(superposition,[],[f236,f1450]) ).

fof(f1450,plain,
    ( sF16 = sK6
    | ~ spl17_40 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f43121,plain,
    ( spl17_120
    | spl17_272 ),
    inference(avatar_split_clause,[],[f43120,f31574,f7338]) ).

fof(f43120,plain,
    ( err = lazy_impl(true,sF11)
    | spl17_272 ),
    inference(resolution,[],[f31576,f191]) ).

fof(f191,plain,
    ! [X0] :
      ( d(X0)
      | err = lazy_impl(true,X0) ),
    inference(definition_unfolding,[],[f122,f121]) ).

fof(f122,plain,
    ! [X0] :
      ( err = phi(X0)
      | d(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42913,plain,
    ( spl17_35
    | spl17_34
    | spl17_36 ),
    inference(avatar_split_clause,[],[f32515,f1413,f1387,f1409]) ).

fof(f32515,plain,
    ( false1 = sK6
    | lazy_impl(true,sK6) = sF16
    | true = sK6 ),
    inference(superposition,[],[f340,f235]) ).

fof(f340,plain,
    ! [X14,X15] :
      ( and1(X14,X15) = lazy_impl(true,X14)
      | false1 = X14
      | true = X14 ),
    inference(resolution,[],[f185,f217]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( bool(X1)
      | and1(X1,X0) = lazy_impl(true,X1) ),
    inference(definition_unfolding,[],[f112,f121]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( bool(X1)
      | and1(X1,X0) = phi(X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( and1(X1,X0) = phi(X1)
      | bool(X1) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ bool(X1)
     => and1(X1,X0) = phi(X1) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3,X2] :
      ( ~ bool(X2)
     => phi(X2) = and1(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_axiom1) ).

fof(f42843,plain,
    ( spl17_36
    | spl17_35
    | spl17_41
    | ~ spl17_45 ),
    inference(avatar_split_clause,[],[f42842,f1476,f1452,f1409,f1413]) ).

fof(f42842,plain,
    ( err = sF16
    | true = sK6
    | false1 = sK6
    | ~ spl17_45 ),
    inference(forward_demodulation,[],[f32515,f1478]) ).

fof(f42705,plain,
    ( spl17_198
    | ~ spl17_79
    | ~ spl17_130
    | ~ spl17_176 ),
    inference(avatar_split_clause,[],[f42704,f8232,f7903,f3905,f9937]) ).

fof(f8232,plain,
    ( spl17_176
  <=> true = impl(true,sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_176])]) ).

fof(f42704,plain,
    ( true = sF13
    | ~ spl17_79
    | ~ spl17_130
    | ~ spl17_176 ),
    inference(forward_demodulation,[],[f42703,f8234]) ).

fof(f8234,plain,
    ( true = impl(true,sF9)
    | ~ spl17_176 ),
    inference(avatar_component_clause,[],[f8232]) ).

fof(f42703,plain,
    ( sF13 = impl(true,sF9)
    | ~ spl17_79
    | ~ spl17_130 ),
    inference(forward_demodulation,[],[f9354,f7905]) ).

fof(f9354,plain,
    ( sF13 = impl(sF11,sF9)
    | ~ spl17_79 ),
    inference(superposition,[],[f232,f3907]) ).

fof(f42589,plain,
    ( spl17_198
    | ~ spl17_130
    | ~ spl17_357 ),
    inference(avatar_split_clause,[],[f42588,f39256,f7903,f9937]) ).

fof(f39256,plain,
    ( spl17_357
  <=> sF13 = impl(false1,sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_357])]) ).

fof(f42588,plain,
    ( true = sF13
    | ~ spl17_130
    | ~ spl17_357 ),
    inference(forward_demodulation,[],[f42587,f293]) ).

fof(f42587,plain,
    ( sF13 = impl(false1,true)
    | ~ spl17_130
    | ~ spl17_357 ),
    inference(forward_demodulation,[],[f39258,f7905]) ).

fof(f39258,plain,
    ( sF13 = impl(false1,sF11)
    | ~ spl17_357 ),
    inference(avatar_component_clause,[],[f39256]) ).

fof(f42473,plain,
    ( spl17_196
    | spl17_51
    | ~ spl17_79
    | ~ spl17_380 ),
    inference(avatar_split_clause,[],[f42472,f40666,f3905,f1613,f9874]) ).

fof(f42472,plain,
    ( err = sF13
    | spl17_51
    | ~ spl17_79
    | ~ spl17_380 ),
    inference(forward_demodulation,[],[f42471,f5535]) ).

fof(f42471,plain,
    ( sF13 = impl(err,sF9)
    | ~ spl17_79
    | ~ spl17_380 ),
    inference(forward_demodulation,[],[f9354,f40668]) ).

fof(f42358,plain,
    ( spl17_51
    | ~ spl17_273
    | ~ spl17_380 ),
    inference(avatar_split_clause,[],[f42357,f40666,f31578,f1613]) ).

fof(f42357,plain,
    ( bool(err)
    | ~ spl17_273
    | ~ spl17_380 ),
    inference(forward_demodulation,[],[f31580,f40668]) ).

fof(f31580,plain,
    ( bool(sF11)
    | ~ spl17_273 ),
    inference(avatar_component_clause,[],[f31578]) ).

fof(f42268,plain,
    ( ~ spl17_103
    | spl17_80
    | ~ spl17_380 ),
    inference(avatar_split_clause,[],[f42267,f40666,f3909,f5234]) ).

fof(f42267,plain,
    ( false1 != prop(err)
    | spl17_80
    | ~ spl17_380 ),
    inference(forward_demodulation,[],[f3910,f40668]) ).

fof(f3910,plain,
    ( false1 != prop(sF11)
    | spl17_80 ),
    inference(avatar_component_clause,[],[f3909]) ).

fof(f42070,plain,
    ( spl17_145
    | ~ spl17_23
    | ~ spl17_197 ),
    inference(avatar_split_clause,[],[f42069,f9933,f733,f8009]) ).

fof(f8009,plain,
    ( spl17_145
  <=> err = lazy_impl(true,false1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_145])]) ).

fof(f42069,plain,
    ( err = lazy_impl(true,false1)
    | ~ spl17_23
    | ~ spl17_197 ),
    inference(forward_demodulation,[],[f735,f9935]) ).

fof(f41883,plain,
    ( spl17_3
    | spl17_16
    | spl17_17 ),
    inference(avatar_split_clause,[],[f976,f551,f547,f258]) ).

fof(f547,plain,
    ( spl17_16
  <=> true = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).

fof(f551,plain,
    ( spl17_17
  <=> false1 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).

fof(f976,plain,
    ( false1 = sF9
    | true = sF9
    | false1 = sF10 ),
    inference(superposition,[],[f310,f229]) ).

fof(f41692,plain,
    ( spl17_402
    | spl17_388
    | ~ spl17_9 ),
    inference(avatar_split_clause,[],[f14681,f388,f41162,f41238]) ).

fof(f14681,plain,
    ( ! [X204] :
        ( true = prop(sF10)
        | ~ forallprefers(impl(sF10,X204),false1) )
    | ~ spl17_9 ),
    inference(superposition,[],[f643,f10701]) ).

fof(f10701,plain,
    ! [X10,X11,X12] :
      ( impl(X10,X12) = lazy_impl(X10,X11)
      | true = prop(X10) ),
    inference(duplicate_literal_removal,[],[f10625]) ).

fof(f10625,plain,
    ! [X10,X11,X12] :
      ( true = prop(X10)
      | impl(X10,X12) = lazy_impl(X10,X11)
      | true = prop(X10) ),
    inference(superposition,[],[f679,f663]) ).

fof(f663,plain,
    ! [X6,X7] :
      ( lazy_impl(true,X6) = lazy_impl(X6,X7)
      | true = prop(X6) ),
    inference(resolution,[],[f205,f165]) ).

fof(f643,plain,
    ( ~ forallprefers(lazy_impl(sF10,sF9),false1)
    | ~ spl17_9 ),
    inference(superposition,[],[f569,f229]) ).

fof(f569,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),false1)
    | ~ spl17_9 ),
    inference(forward_demodulation,[],[f568,f285]) ).

fof(f568,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(true,false1))
    | ~ spl17_9 ),
    inference(forward_demodulation,[],[f563,f237]) ).

fof(f563,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(prop(false1),false1))
    | ~ spl17_9 ),
    inference(superposition,[],[f198,f390]) ).

fof(f198,plain,
    ! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK4),sK4)),
    inference(definition_unfolding,[],[f137,f159,f159]) ).

fof(f159,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_f7) ).

fof(f137,plain,
    ! [X1] : ~ forallprefers(f7(X1),f7(sK4)),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ? [X0] :
      ( false2 = phi(f7(X0))
      & ! [X1] : ~ forallprefers(f7(X1),f7(X0)) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ? [X0] :
      ( false2 = phi(f7(X0))
      & ~ ? [X1] : forallprefers(f7(X1),f7(X0)) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ? [X4] :
      ( ~ ? [X9] : forallprefers(f7(X9),f7(X4))
      & false2 = phi(f7(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_false2) ).

fof(f41294,plain,
    ( ~ spl17_32
    | spl17_86
    | ~ spl17_197 ),
    inference(avatar_split_clause,[],[f41293,f9933,f4737,f1020]) ).

fof(f41293,plain,
    ( ~ d(false1)
    | spl17_86
    | ~ spl17_197 ),
    inference(forward_demodulation,[],[f4739,f9935]) ).

fof(f41121,plain,
    ( spl17_193
    | ~ spl17_125
    | ~ spl17_184
    | ~ spl17_337
    | ~ spl17_356 ),
    inference(avatar_split_clause,[],[f41120,f39251,f38835,f8586,f7474,f9175]) ).

fof(f41120,plain,
    ( true = prop(sK5)
    | ~ spl17_125
    | ~ spl17_184
    | ~ spl17_337
    | ~ spl17_356 ),
    inference(forward_demodulation,[],[f8588,f40976]) ).

fof(f40976,plain,
    ( sF13 = sK5
    | ~ spl17_125
    | ~ spl17_337
    | ~ spl17_356 ),
    inference(forward_demodulation,[],[f40975,f38837]) ).

fof(f40975,plain,
    ( sF13 = sF11
    | ~ spl17_125
    | ~ spl17_356 ),
    inference(forward_demodulation,[],[f39253,f7476]) ).

fof(f41119,plain,
    ( spl17_72
    | ~ spl17_125
    | ~ spl17_186
    | ~ spl17_337
    | ~ spl17_356 ),
    inference(avatar_split_clause,[],[f41118,f39251,f38835,f8595,f7474,f2913]) ).

fof(f41118,plain,
    ( true = impl(false1,sK5)
    | ~ spl17_125
    | ~ spl17_186
    | ~ spl17_337
    | ~ spl17_356 ),
    inference(forward_demodulation,[],[f8597,f40976]) ).

fof(f41038,plain,
    ( spl17_83
    | ~ spl17_23
    | ~ spl17_125
    | ~ spl17_337
    | ~ spl17_356 ),
    inference(avatar_split_clause,[],[f41037,f39251,f38835,f7474,f733,f4133]) ).

fof(f41037,plain,
    ( err = lazy_impl(true,sK5)
    | ~ spl17_23
    | ~ spl17_125
    | ~ spl17_337
    | ~ spl17_356 ),
    inference(forward_demodulation,[],[f735,f40976]) ).

fof(f40964,plain,
    ( spl17_23
    | ~ spl17_20
    | ~ spl17_24 ),
    inference(avatar_split_clause,[],[f40963,f753,f717,f733]) ).

fof(f753,plain,
    ( spl17_24
  <=> err = lazy_impl(true,sF14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).

fof(f40963,plain,
    ( err = lazy_impl(true,sF13)
    | ~ spl17_20
    | ~ spl17_24 ),
    inference(forward_demodulation,[],[f755,f719]) ).

fof(f755,plain,
    ( err = lazy_impl(true,sF14)
    | ~ spl17_24 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f40939,plain,
    ( spl17_73
    | spl17_37
    | ~ spl17_50
    | ~ spl17_337 ),
    inference(avatar_split_clause,[],[f40938,f38835,f1606,f1417,f2919]) ).

fof(f2919,plain,
    ( spl17_73
  <=> sK5 = impl(true,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_73])]) ).

fof(f40938,plain,
    ( true = false1
    | sK5 = impl(true,sK5)
    | ~ spl17_50
    | ~ spl17_337 ),
    inference(forward_demodulation,[],[f39986,f38837]) ).

fof(f39986,plain,
    ( true = false1
    | impl(true,sK5) = sF11
    | ~ spl17_50 ),
    inference(forward_demodulation,[],[f15974,f1608]) ).

fof(f15974,plain,
    ( true = prop(sK5)
    | impl(true,sK5) = sF11 ),
    inference(superposition,[],[f230,f13547]) ).

fof(f40885,plain,
    ( ~ spl17_105
    | spl17_272
    | ~ spl17_380 ),
    inference(avatar_split_clause,[],[f40878,f40666,f31574,f5413]) ).

fof(f40878,plain,
    ( ~ d(err)
    | spl17_272
    | ~ spl17_380 ),
    inference(superposition,[],[f31576,f40668]) ).

fof(f40760,plain,
    ( spl17_37
    | spl17_380
    | ~ spl17_50
    | ~ spl17_338 ),
    inference(avatar_split_clause,[],[f40759,f38840,f1606,f40666,f1417]) ).

fof(f40759,plain,
    ( err = sF11
    | true = false1
    | ~ spl17_50
    | ~ spl17_338 ),
    inference(forward_demodulation,[],[f39986,f38841]) ).

fof(f40746,plain,
    ( spl17_380
    | spl17_193
    | ~ spl17_82 ),
    inference(avatar_split_clause,[],[f40745,f4128,f9175,f40666]) ).

fof(f40745,plain,
    ( true = prop(sK5)
    | err = sF11
    | ~ spl17_82 ),
    inference(forward_demodulation,[],[f15495,f4130]) ).

fof(f40722,plain,
    ( spl17_380
    | spl17_72
    | ~ spl17_84 ),
    inference(avatar_split_clause,[],[f40721,f4436,f2913,f40666]) ).

fof(f4436,plain,
    ( spl17_84
  <=> err = not1(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_84])]) ).

fof(f40721,plain,
    ( true = impl(false1,sK5)
    | err = sF11
    | ~ spl17_84 ),
    inference(forward_demodulation,[],[f28816,f4438]) ).

fof(f4438,plain,
    ( err = not1(sK5)
    | ~ spl17_84 ),
    inference(avatar_component_clause,[],[f4436]) ).

fof(f28816,plain,
    ( not1(sK5) = sF11
    | true = impl(false1,sK5) ),
    inference(superposition,[],[f230,f28529]) ).

fof(f40704,plain,
    ( spl17_380
    | spl17_193
    | ~ spl17_84 ),
    inference(avatar_split_clause,[],[f40703,f4436,f9175,f40666]) ).

fof(f40703,plain,
    ( true = prop(sK5)
    | err = sF11
    | ~ spl17_84 ),
    inference(forward_demodulation,[],[f12756,f4438]) ).

fof(f12756,plain,
    ( true = prop(sK5)
    | not1(sK5) = sF11 ),
    inference(superposition,[],[f10698,f230]) ).

fof(f40447,plain,
    ( spl17_28
    | ~ spl17_196
    | ~ spl17_197 ),
    inference(avatar_split_clause,[],[f40446,f9933,f9874,f964]) ).

fof(f40446,plain,
    ( err = false1
    | ~ spl17_196
    | ~ spl17_197 ),
    inference(forward_demodulation,[],[f9935,f9876]) ).

fof(f40397,plain,
    ( spl17_36
    | ~ spl17_40
    | ~ spl17_156 ),
    inference(avatar_split_clause,[],[f40396,f8089,f1448,f1413]) ).

fof(f40396,plain,
    ( false1 = sK6
    | ~ spl17_40
    | ~ spl17_156 ),
    inference(forward_demodulation,[],[f1450,f8091]) ).

fof(f39913,plain,
    ( ~ spl17_20
    | ~ spl17_21
    | ~ spl17_49
    | ~ spl17_73
    | ~ spl17_337
    | ~ spl17_353 ),
    inference(avatar_contradiction_clause,[],[f39912]) ).

fof(f39912,plain,
    ( $false
    | ~ spl17_20
    | ~ spl17_21
    | ~ spl17_49
    | ~ spl17_73
    | ~ spl17_337
    | ~ spl17_353 ),
    inference(trivial_inequality_removal,[],[f39911]) ).

fof(f39911,plain,
    ( sK5 != sK5
    | ~ spl17_20
    | ~ spl17_21
    | ~ spl17_49
    | ~ spl17_73
    | ~ spl17_337
    | ~ spl17_353 ),
    inference(superposition,[],[f39909,f39370]) ).

fof(f39370,plain,
    ( sF13 = sK5
    | ~ spl17_73
    | ~ spl17_337
    | ~ spl17_353 ),
    inference(forward_demodulation,[],[f39369,f2921]) ).

fof(f2921,plain,
    ( sK5 = impl(true,sK5)
    | ~ spl17_73 ),
    inference(avatar_component_clause,[],[f2919]) ).

fof(f39369,plain,
    ( sF13 = impl(true,sK5)
    | ~ spl17_337
    | ~ spl17_353 ),
    inference(forward_demodulation,[],[f39229,f38837]) ).

fof(f39229,plain,
    ( impl(true,sF11) = sF13
    | ~ spl17_353 ),
    inference(avatar_component_clause,[],[f39227]) ).

fof(f39227,plain,
    ( spl17_353
  <=> impl(true,sF11) = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_353])]) ).

fof(f39909,plain,
    ( sF13 != sK5
    | ~ spl17_20
    | ~ spl17_21
    | ~ spl17_49 ),
    inference(superposition,[],[f39906,f9917]) ).

fof(f9917,plain,
    ( sF13 = sF15
    | ~ spl17_20
    | ~ spl17_21 ),
    inference(forward_demodulation,[],[f724,f719]) ).

fof(f39906,plain,
    ( sK5 != sF15
    | ~ spl17_49 ),
    inference(superposition,[],[f236,f1603]) ).

fof(f39873,plain,
    ( ~ spl17_71
    | spl17_125
    | ~ spl17_337 ),
    inference(avatar_split_clause,[],[f39866,f38835,f7474,f2906]) ).

fof(f39866,plain,
    ( not1(sK5) != sK5
    | spl17_125
    | ~ spl17_337 ),
    inference(superposition,[],[f7475,f38837]) ).

fof(f7475,plain,
    ( not1(sF11) != sF11
    | spl17_125 ),
    inference(avatar_component_clause,[],[f7474]) ).

fof(f39558,plain,
    ( spl17_193
    | ~ spl17_273
    | ~ spl17_337 ),
    inference(avatar_split_clause,[],[f39557,f38835,f31578,f9175]) ).

fof(f39557,plain,
    ( true = prop(sK5)
    | ~ spl17_273
    | ~ spl17_337 ),
    inference(forward_demodulation,[],[f39542,f38837]) ).

fof(f39542,plain,
    ( true = prop(sF11)
    | ~ spl17_273 ),
    inference(resolution,[],[f31580,f165]) ).

fof(f39315,plain,
    ( spl17_356
    | spl17_122
    | ~ spl17_79 ),
    inference(avatar_split_clause,[],[f33819,f3905,f7348,f39251]) ).

fof(f7348,plain,
    ( spl17_122
  <=> true = impl(false1,sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_122])]) ).

fof(f33819,plain,
    ( true = impl(false1,sF11)
    | sF13 = not1(sF11)
    | ~ spl17_79 ),
    inference(forward_demodulation,[],[f28897,f3907]) ).

fof(f28897,plain,
    ( true = impl(false1,sF12)
    | sF13 = not1(sF11)
    | ~ spl17_79 ),
    inference(forward_demodulation,[],[f28835,f3907]) ).

fof(f28835,plain,
    ( sF13 = not1(sF12)
    | true = impl(false1,sF12) ),
    inference(superposition,[],[f232,f28529]) ).

fof(f39302,plain,
    ( spl17_356
    | spl17_37
    | ~ spl17_79
    | ~ spl17_80 ),
    inference(avatar_split_clause,[],[f39301,f3909,f3905,f1417,f39251]) ).

fof(f39301,plain,
    ( true = false1
    | sF13 = not1(sF11)
    | ~ spl17_79
    | ~ spl17_80 ),
    inference(forward_demodulation,[],[f12836,f3911]) ).

fof(f3911,plain,
    ( false1 = prop(sF11)
    | ~ spl17_80 ),
    inference(avatar_component_clause,[],[f3909]) ).

fof(f12836,plain,
    ( sF13 = not1(sF11)
    | true = prop(sF11)
    | ~ spl17_79 ),
    inference(forward_demodulation,[],[f12835,f3907]) ).

fof(f12835,plain,
    ( true = prop(sF12)
    | sF13 = not1(sF11)
    | ~ spl17_79 ),
    inference(forward_demodulation,[],[f12827,f3907]) ).

fof(f12827,plain,
    ( true = prop(sF12)
    | sF13 = not1(sF12) ),
    inference(superposition,[],[f232,f10698]) ).

fof(f39275,plain,
    ( spl17_37
    | spl17_357
    | ~ spl17_79
    | ~ spl17_80 ),
    inference(avatar_split_clause,[],[f39274,f3909,f3905,f39256,f1417]) ).

fof(f39274,plain,
    ( sF13 = impl(false1,sF11)
    | true = false1
    | ~ spl17_79
    | ~ spl17_80 ),
    inference(forward_demodulation,[],[f38510,f3911]) ).

fof(f38510,plain,
    ( true = prop(sF11)
    | sF13 = impl(false1,sF11)
    | ~ spl17_79 ),
    inference(forward_demodulation,[],[f15604,f3907]) ).

fof(f15604,plain,
    ( sF13 = impl(false1,sF12)
    | true = prop(sF11)
    | ~ spl17_79 ),
    inference(forward_demodulation,[],[f15498,f3907]) ).

fof(f15498,plain,
    ( true = prop(sF12)
    | sF13 = impl(false1,sF12) ),
    inference(superposition,[],[f13238,f232]) ).

fof(f39247,plain,
    ( spl17_353
    | spl17_37
    | ~ spl17_79
    | ~ spl17_80 ),
    inference(avatar_split_clause,[],[f39000,f3909,f3905,f1417,f39227]) ).

fof(f39000,plain,
    ( true = false1
    | impl(true,sF11) = sF13
    | ~ spl17_79
    | ~ spl17_80 ),
    inference(forward_demodulation,[],[f38999,f3907]) ).

fof(f38999,plain,
    ( true = false1
    | impl(true,sF12) = sF13
    | ~ spl17_79
    | ~ spl17_80 ),
    inference(forward_demodulation,[],[f16018,f3911]) ).

fof(f16018,plain,
    ( impl(true,sF12) = sF13
    | true = prop(sF11)
    | ~ spl17_79 ),
    inference(forward_demodulation,[],[f15893,f3907]) ).

fof(f39058,plain,
    ( ~ spl17_53
    | ~ spl17_85
    | spl17_338 ),
    inference(avatar_split_clause,[],[f39057,f38840,f4442,f1673]) ).

fof(f4442,plain,
    ( spl17_85
  <=> err = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_85])]) ).

fof(f39057,plain,
    ( err != impl(true,err)
    | ~ spl17_85
    | spl17_338 ),
    inference(forward_demodulation,[],[f38842,f4444]) ).

fof(f4444,plain,
    ( err = sK5
    | ~ spl17_85 ),
    inference(avatar_component_clause,[],[f4442]) ).

fof(f38842,plain,
    ( err != impl(true,sK5)
    | spl17_338 ),
    inference(avatar_component_clause,[],[f38840]) ).

fof(f38903,plain,
    ( spl17_337
    | spl17_193
    | ~ spl17_71 ),
    inference(avatar_split_clause,[],[f38902,f2906,f9175,f38835]) ).

fof(f38902,plain,
    ( true = prop(sK5)
    | sK5 = sF11
    | ~ spl17_71 ),
    inference(forward_demodulation,[],[f12756,f2908]) ).

fof(f38893,plain,
    ( spl17_336
    | spl17_193 ),
    inference(avatar_split_clause,[],[f14265,f9175,f38829]) ).

fof(f14265,plain,
    ! [X47] :
      ( true = prop(sK5)
      | impl(sK5,X47) = sF11 ),
    inference(superposition,[],[f10700,f230]) ).

fof(f10700,plain,
    ! [X14,X15,X13] :
      ( impl(X13,X14) = impl(X13,X15)
      | true = prop(X13) ),
    inference(duplicate_literal_removal,[],[f10626]) ).

fof(f10626,plain,
    ! [X14,X15,X13] :
      ( impl(X13,X14) = impl(X13,X15)
      | true = prop(X13)
      | true = prop(X13) ),
    inference(superposition,[],[f679,f679]) ).

fof(f38852,plain,
    ( spl17_323
    | spl17_72
    | ~ spl17_117 ),
    inference(avatar_split_clause,[],[f35661,f7140,f2913,f38539]) ).

fof(f35661,plain,
    ( ! [X12] :
        ( true = impl(false1,sK5)
        | sK5 = impl(sK5,X12) )
    | ~ spl17_117 ),
    inference(superposition,[],[f681,f7142]) ).

fof(f38819,plain,
    ( spl17_323
    | spl17_193
    | ~ spl17_117 ),
    inference(avatar_split_clause,[],[f35659,f7140,f9175,f38539]) ).

fof(f35659,plain,
    ( ! [X10] :
        ( true = prop(sK5)
        | sK5 = impl(sK5,X10) )
    | ~ spl17_117 ),
    inference(superposition,[],[f679,f7142]) ).

fof(f38728,plain,
    ( spl17_67
    | ~ spl17_193 ),
    inference(avatar_split_clause,[],[f35275,f9175,f2789]) ).

fof(f35275,plain,
    ( bool(sK5)
    | ~ spl17_193 ),
    inference(trivial_inequality_removal,[],[f35213]) ).

fof(f35213,plain,
    ( true != true
    | bool(sK5)
    | ~ spl17_193 ),
    inference(superposition,[],[f166,f9177]) ).

fof(f38644,plain,
    ( spl17_324
    | spl17_194
    | ~ spl17_79
    | spl17_89 ),
    inference(avatar_split_clause,[],[f36288,f4819,f3905,f9647,f38545]) ).

fof(f36288,plain,
    ( ! [X0] :
        ( true = prop(sF11)
        | lazy_impl(true,impl(sF11,X0)) = impl(sF11,X0) )
    | ~ spl17_79
    | spl17_89 ),
    inference(superposition,[],[f32332,f10700]) ).

fof(f32332,plain,
    ( impl(sF11,true) = lazy_impl(true,impl(sF11,true))
    | ~ spl17_79
    | spl17_89 ),
    inference(forward_demodulation,[],[f11094,f3907]) ).

fof(f11094,plain,
    ( impl(sF12,true) = lazy_impl(true,impl(sF12,true))
    | spl17_89 ),
    inference(trivial_inequality_removal,[],[f11086]) ).

fof(f11086,plain,
    ( impl(sF12,true) = lazy_impl(true,impl(sF12,true))
    | err != err
    | spl17_89 ),
    inference(superposition,[],[f4820,f190]) ).

fof(f190,plain,
    ! [X0] :
      ( err = lazy_impl(true,X0)
      | lazy_impl(true,X0) = X0 ),
    inference(definition_unfolding,[],[f123,f121,f121]) ).

fof(f123,plain,
    ! [X0] :
      ( err = phi(X0)
      | phi(X0) = X0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f4820,plain,
    ( err != lazy_impl(true,impl(sF12,true))
    | spl17_89 ),
    inference(avatar_component_clause,[],[f4819]) ).

fof(f38610,plain,
    ( spl17_142
    | ~ spl17_36
    | ~ spl17_122 ),
    inference(avatar_split_clause,[],[f34135,f7348,f1413,f7988]) ).

fof(f34135,plain,
    ( true = sF12
    | ~ spl17_36
    | ~ spl17_122 ),
    inference(forward_demodulation,[],[f34131,f7350]) ).

fof(f7350,plain,
    ( true = impl(false1,sF11)
    | ~ spl17_122 ),
    inference(avatar_component_clause,[],[f7348]) ).

fof(f34131,plain,
    ( sF12 = impl(false1,sF11)
    | ~ spl17_36 ),
    inference(superposition,[],[f231,f1415]) ).

fof(f38562,plain,
    ( spl17_69
    | ~ spl17_49
    | ~ spl17_156 ),
    inference(avatar_split_clause,[],[f38561,f8089,f1601,f2815]) ).

fof(f38561,plain,
    ( false1 = sK5
    | ~ spl17_49
    | ~ spl17_156 ),
    inference(forward_demodulation,[],[f1603,f8091]) ).

fof(f38525,plain,
    ( spl17_70
    | ~ spl17_72
    | ~ spl17_81 ),
    inference(avatar_split_clause,[],[f38524,f4122,f2913,f2819]) ).

fof(f38524,plain,
    ( true = sK5
    | ~ spl17_72
    | ~ spl17_81 ),
    inference(forward_demodulation,[],[f4124,f2915]) ).

fof(f38469,plain,
    ( spl17_37
    | ~ spl17_50
    | ~ spl17_193 ),
    inference(avatar_split_clause,[],[f38468,f9175,f1606,f1417]) ).

fof(f38468,plain,
    ( true = false1
    | ~ spl17_50
    | ~ spl17_193 ),
    inference(forward_demodulation,[],[f1608,f9177]) ).

fof(f35954,plain,
    ( ~ spl17_53
    | ~ spl17_198
    | ~ spl17_241 ),
    inference(avatar_contradiction_clause,[],[f35953]) ).

fof(f35953,plain,
    ( $false
    | ~ spl17_53
    | ~ spl17_198
    | ~ spl17_241 ),
    inference(trivial_inequality_removal,[],[f35929]) ).

fof(f35929,plain,
    ( err != err
    | ~ spl17_53
    | ~ spl17_198
    | ~ spl17_241 ),
    inference(superposition,[],[f34184,f1675]) ).

fof(f34184,plain,
    ( ! [X0] : err != impl(true,X0)
    | ~ spl17_198
    | ~ spl17_241 ),
    inference(superposition,[],[f31228,f9939]) ).

fof(f35064,plain,
    ( spl17_156
    | ~ spl17_36
    | ~ spl17_69 ),
    inference(avatar_split_clause,[],[f35063,f2815,f1413,f8089]) ).

fof(f35063,plain,
    ( false1 = sF16
    | ~ spl17_36
    | ~ spl17_69 ),
    inference(forward_demodulation,[],[f35062,f289]) ).

fof(f289,plain,
    false1 = and1(false1,false1),
    inference(resolution,[],[f211,f226]) ).

fof(f35062,plain,
    ( and1(false1,false1) = sF16
    | ~ spl17_36
    | ~ spl17_69 ),
    inference(forward_demodulation,[],[f34132,f2817]) ).

fof(f34132,plain,
    ( sF16 = and1(false1,sK5)
    | ~ spl17_36 ),
    inference(superposition,[],[f235,f1415]) ).

fof(f34940,plain,
    ( spl17_67
    | ~ spl17_68
    | ~ spl17_65
    | ~ spl17_117
    | ~ spl17_205 ),
    inference(avatar_split_clause,[],[f34939,f16978,f7140,f2751,f2793,f2789]) ).

fof(f34939,plain,
    ( ~ d(sK5)
    | bool(sK5)
    | ~ spl17_65
    | ~ spl17_117
    | ~ spl17_205 ),
    inference(forward_demodulation,[],[f34938,f7142]) ).

fof(f34938,plain,
    ( ~ d(sK5)
    | bool(lazy_impl(true,sK5))
    | ~ spl17_65
    | ~ spl17_117
    | ~ spl17_205 ),
    inference(forward_demodulation,[],[f17261,f7142]) ).

fof(f17261,plain,
    ( ~ d(lazy_impl(true,sK5))
    | bool(lazy_impl(true,sK5))
    | ~ spl17_65
    | ~ spl17_205 ),
    inference(superposition,[],[f2752,f16979]) ).

fof(f2752,plain,
    ( ! [X0] :
        ( ~ d(lazy_impl(prop(X0),sK5))
        | bool(lazy_impl(prop(X0),sK5)) )
    | ~ spl17_65 ),
    inference(avatar_component_clause,[],[f2751]) ).

fof(f34128,plain,
    ( ~ spl17_145
    | ~ spl17_36
    | spl17_45 ),
    inference(avatar_split_clause,[],[f34122,f1476,f1413,f8009]) ).

fof(f34122,plain,
    ( err != lazy_impl(true,false1)
    | ~ spl17_36
    | spl17_45 ),
    inference(forward_demodulation,[],[f1477,f1415]) ).

fof(f1477,plain,
    ( err != lazy_impl(true,sK6)
    | spl17_45 ),
    inference(avatar_component_clause,[],[f1476]) ).

fof(f34101,plain,
    ( spl17_51
    | ~ spl17_38
    | ~ spl17_45 ),
    inference(avatar_split_clause,[],[f34100,f1476,f1426,f1613]) ).

fof(f1426,plain,
    ( spl17_38
  <=> bool(lazy_impl(true,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_38])]) ).

fof(f34100,plain,
    ( bool(err)
    | ~ spl17_38
    | ~ spl17_45 ),
    inference(forward_demodulation,[],[f1428,f1478]) ).

fof(f1428,plain,
    ( bool(lazy_impl(true,sK6))
    | ~ spl17_38 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f34083,plain,
    ( spl17_28
    | ~ spl17_41
    | ~ spl17_156 ),
    inference(avatar_split_clause,[],[f34082,f8089,f1452,f964]) ).

fof(f34082,plain,
    ( err = false1
    | ~ spl17_41
    | ~ spl17_156 ),
    inference(forward_demodulation,[],[f8091,f1454]) ).

fof(f33632,plain,
    ( spl17_133
    | spl17_125
    | spl17_130
    | ~ spl17_123 ),
    inference(avatar_split_clause,[],[f10915,f7355,f7903,f7474,f7926]) ).

fof(f7926,plain,
    ( spl17_133
  <=> false1 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_133])]) ).

fof(f10915,plain,
    ( true = sF11
    | not1(sF11) = sF11
    | false1 = sF11
    | ~ spl17_123 ),
    inference(superposition,[],[f7357,f309]) ).

fof(f33414,plain,
    ( spl17_156
    | ~ spl17_36
    | ~ spl17_70 ),
    inference(avatar_split_clause,[],[f33413,f2819,f1413,f8089]) ).

fof(f33413,plain,
    ( false1 = sF16
    | ~ spl17_36
    | ~ spl17_70 ),
    inference(forward_demodulation,[],[f33412,f290]) ).

fof(f290,plain,
    false1 = and1(false1,true),
    inference(resolution,[],[f211,f227]) ).

fof(f33412,plain,
    ( and1(false1,true) = sF16
    | ~ spl17_36
    | ~ spl17_70 ),
    inference(forward_demodulation,[],[f32432,f1415]) ).

fof(f32432,plain,
    ( and1(sK6,true) = sF16
    | ~ spl17_70 ),
    inference(superposition,[],[f235,f2821]) ).

fof(f33355,plain,
    ( spl17_142
    | ~ spl17_36
    | ~ spl17_133 ),
    inference(avatar_split_clause,[],[f33354,f7926,f1413,f7988]) ).

fof(f33354,plain,
    ( true = sF12
    | ~ spl17_36
    | ~ spl17_133 ),
    inference(forward_demodulation,[],[f33353,f292]) ).

fof(f33353,plain,
    ( sF12 = impl(false1,false1)
    | ~ spl17_36
    | ~ spl17_133 ),
    inference(forward_demodulation,[],[f32456,f1415]) ).

fof(f32456,plain,
    ( sF12 = impl(sK6,false1)
    | ~ spl17_133 ),
    inference(superposition,[],[f231,f7928]) ).

fof(f7928,plain,
    ( false1 = sF11
    | ~ spl17_133 ),
    inference(avatar_component_clause,[],[f7926]) ).

fof(f33351,plain,
    ( spl17_36
    | spl17_35
    | spl17_37
    | ~ spl17_33 ),
    inference(avatar_split_clause,[],[f3626,f1383,f1417,f1409,f1413]) ).

fof(f3626,plain,
    ( true = false1
    | true = sK6
    | false1 = sK6
    | ~ spl17_33 ),
    inference(superposition,[],[f310,f1385]) ).

fof(f1385,plain,
    ( true = prop(sK6)
    | ~ spl17_33 ),
    inference(avatar_component_clause,[],[f1383]) ).

fof(f33278,plain,
    ( ~ spl17_198
    | ~ spl17_20
    | ~ spl17_21
    | ~ spl17_49
    | ~ spl17_70 ),
    inference(avatar_split_clause,[],[f32425,f2819,f1601,f722,f717,f9937]) ).

fof(f32425,plain,
    ( true != sF13
    | ~ spl17_20
    | ~ spl17_21
    | ~ spl17_49
    | ~ spl17_70 ),
    inference(forward_demodulation,[],[f32424,f2821]) ).

fof(f32424,plain,
    ( sF13 != sK5
    | ~ spl17_20
    | ~ spl17_21
    | ~ spl17_49 ),
    inference(superposition,[],[f7258,f9917]) ).

fof(f7258,plain,
    ( sK5 != sF15
    | ~ spl17_49 ),
    inference(superposition,[],[f236,f1603]) ).

fof(f33241,plain,
    ( spl17_198
    | ~ spl17_17
    | ~ spl17_79
    | ~ spl17_133 ),
    inference(avatar_split_clause,[],[f33240,f7926,f3905,f551,f9937]) ).

fof(f33240,plain,
    ( true = sF13
    | ~ spl17_17
    | ~ spl17_79
    | ~ spl17_133 ),
    inference(forward_demodulation,[],[f33215,f292]) ).

fof(f33215,plain,
    ( sF13 = impl(false1,false1)
    | ~ spl17_17
    | ~ spl17_79
    | ~ spl17_133 ),
    inference(superposition,[],[f31557,f7928]) ).

fof(f31557,plain,
    ( impl(sF11,false1) = sF13
    | ~ spl17_17
    | ~ spl17_79 ),
    inference(forward_demodulation,[],[f9354,f553]) ).

fof(f553,plain,
    ( false1 = sF9
    | ~ spl17_17 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f31661,plain,
    ( spl17_130
    | ~ spl17_143 ),
    inference(avatar_split_clause,[],[f10392,f7996,f7903]) ).

fof(f10392,plain,
    ( true = sF11
    | ~ spl17_143 ),
    inference(superposition,[],[f7998,f230]) ).

fof(f7998,plain,
    ( true = impl(sK5,sF9)
    | ~ spl17_143 ),
    inference(avatar_component_clause,[],[f7996]) ).

fof(f31541,plain,
    ( spl17_130
    | spl17_37
    | spl17_133
    | ~ spl17_194 ),
    inference(avatar_split_clause,[],[f10275,f9647,f7926,f1417,f7903]) ).

fof(f10275,plain,
    ( false1 = sF11
    | true = false1
    | true = sF11
    | ~ spl17_194 ),
    inference(superposition,[],[f310,f9649]) ).

fof(f9649,plain,
    ( true = prop(sF11)
    | ~ spl17_194 ),
    inference(avatar_component_clause,[],[f9647]) ).

fof(f31437,plain,
    ( spl17_197
    | ~ spl17_17
    | ~ spl17_109
    | ~ spl17_142 ),
    inference(avatar_split_clause,[],[f31436,f7988,f6230,f551,f9933]) ).

fof(f31436,plain,
    ( false1 = sF13
    | ~ spl17_17
    | ~ spl17_109
    | ~ spl17_142 ),
    inference(forward_demodulation,[],[f10079,f553]) ).

fof(f10079,plain,
    ( sF13 = sF9
    | ~ spl17_109
    | ~ spl17_142 ),
    inference(forward_demodulation,[],[f10070,f6232]) ).

fof(f6232,plain,
    ( sF9 = impl(true,sF9)
    | ~ spl17_109 ),
    inference(avatar_component_clause,[],[f6230]) ).

fof(f10070,plain,
    ( sF13 = impl(true,sF9)
    | ~ spl17_142 ),
    inference(superposition,[],[f232,f7990]) ).

fof(f31395,plain,
    ( spl17_241
    | spl17_184
    | spl17_23 ),
    inference(avatar_split_clause,[],[f10689,f733,f8586,f31227]) ).

fof(f10689,plain,
    ( ! [X32] :
        ( true = prop(sF13)
        | err != impl(sF13,X32) )
    | spl17_23 ),
    inference(superposition,[],[f734,f679]) ).

fof(f734,plain,
    ( err != lazy_impl(true,sF13)
    | spl17_23 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f31229,plain,
    ( spl17_241
    | spl17_186
    | spl17_23 ),
    inference(avatar_split_clause,[],[f28501,f733,f8595,f31227]) ).

fof(f28501,plain,
    ( ! [X165] :
        ( true = impl(false1,sF13)
        | err != impl(sF13,X165) )
    | spl17_23 ),
    inference(superposition,[],[f734,f681]) ).

fof(f31220,plain,
    ( ~ spl17_69
    | ~ spl17_19
    | ~ spl17_20
    | ~ spl17_49
    | ~ spl17_197 ),
    inference(avatar_split_clause,[],[f31219,f9933,f1601,f717,f712,f2815]) ).

fof(f31219,plain,
    ( false1 != sK5
    | ~ spl17_19
    | ~ spl17_20
    | ~ spl17_49
    | ~ spl17_197 ),
    inference(superposition,[],[f7258,f30200]) ).

fof(f30200,plain,
    ( false1 = sF15
    | ~ spl17_19
    | ~ spl17_20
    | ~ spl17_197 ),
    inference(forward_demodulation,[],[f9909,f9935]) ).

fof(f29892,plain,
    ( ~ spl17_196
    | ~ spl17_19
    | spl17_23 ),
    inference(avatar_split_clause,[],[f10380,f733,f712,f9874]) ).

fof(f10380,plain,
    ( err != sF13
    | ~ spl17_19
    | spl17_23 ),
    inference(superposition,[],[f734,f714]) ).

fof(f29865,plain,
    ( spl17_198
    | ~ spl17_16
    | ~ spl17_109
    | ~ spl17_142 ),
    inference(avatar_split_clause,[],[f10080,f7988,f6230,f547,f9937]) ).

fof(f10080,plain,
    ( true = sF13
    | ~ spl17_16
    | ~ spl17_109
    | ~ spl17_142 ),
    inference(forward_demodulation,[],[f10079,f549]) ).

fof(f549,plain,
    ( true = sF9
    | ~ spl17_16 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f29807,plain,
    ( spl17_198
    | ~ spl17_16
    | ~ spl17_79
    | ~ spl17_130 ),
    inference(avatar_split_clause,[],[f10541,f7903,f3905,f547,f9937]) ).

fof(f10541,plain,
    ( true = sF13
    | ~ spl17_16
    | ~ spl17_79
    | ~ spl17_130 ),
    inference(forward_demodulation,[],[f10534,f281]) ).

fof(f10534,plain,
    ( sF13 = impl(true,true)
    | ~ spl17_16
    | ~ spl17_79
    | ~ spl17_130 ),
    inference(superposition,[],[f9878,f7905]) ).

fof(f9878,plain,
    ( sF13 = impl(sF11,true)
    | ~ spl17_16
    | ~ spl17_79 ),
    inference(forward_demodulation,[],[f9354,f549]) ).

fof(f29686,plain,
    ( spl17_6
    | ~ spl17_8
    | ~ spl17_20
    | ~ spl17_31
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_198 ),
    inference(avatar_split_clause,[],[f29685,f9937,f2815,f1409,f1017,f717,f365,f352]) ).

fof(f352,plain,
    ( spl17_6
  <=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).

fof(f29685,plain,
    ( ! [X2] : ~ forallprefers(lazy_impl(prop(X2),X2),true)
    | ~ spl17_8
    | ~ spl17_20
    | ~ spl17_31
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f29684,f3661]) ).

fof(f3661,plain,
    ( ! [X1] : lazy_impl(prop(X1),X1) = lazy_impl(true,lazy_impl(prop(X1),X1))
    | ~ spl17_8 ),
    inference(resolution,[],[f366,f189]) ).

fof(f29684,plain,
    ( ! [X2] : ~ forallprefers(lazy_impl(true,lazy_impl(prop(X2),X2)),true)
    | ~ spl17_8
    | ~ spl17_20
    | ~ spl17_31
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f29683,f3803]) ).

fof(f3803,plain,
    ( ! [X2] : impl(true,lazy_impl(prop(X2),X2)) = lazy_impl(prop(X2),X2)
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(resolution,[],[f3660,f163]) ).

fof(f29683,plain,
    ( ! [X2] : ~ forallprefers(lazy_impl(true,impl(true,lazy_impl(prop(X2),X2))),true)
    | ~ spl17_8
    | ~ spl17_20
    | ~ spl17_31
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f29682,f281]) ).

fof(f29682,plain,
    ( ! [X2] : ~ forallprefers(lazy_impl(true,impl(impl(true,true),lazy_impl(prop(X2),X2))),true)
    | ~ spl17_8
    | ~ spl17_20
    | ~ spl17_31
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f29681,f3807]) ).

fof(f3807,plain,
    ( ! [X7] : true = impl(false1,lazy_impl(prop(X7),X7))
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(resolution,[],[f3660,f213]) ).

fof(f29681,plain,
    ( ! [X2] : ~ forallprefers(lazy_impl(true,impl(impl(true,impl(false1,lazy_impl(prop(X2),X2))),lazy_impl(prop(X2),X2))),true)
    | ~ spl17_8
    | ~ spl17_20
    | ~ spl17_31
    | ~ spl17_35
    | ~ spl17_69
    | ~ spl17_198 ),
    inference(forward_demodulation,[],[f29418,f9939]) ).

fof(f29418,plain,
    ( ! [X2] : ~ forallprefers(lazy_impl(true,impl(impl(true,impl(false1,lazy_impl(prop(X2),X2))),lazy_impl(prop(X2),X2))),sF13)
    | ~ spl17_8
    | ~ spl17_20
    | ~ spl17_31
    | ~ spl17_35
    | ~ spl17_69 ),
    inference(superposition,[],[f9902,f3804]) ).

fof(f9902,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(true,impl(false1,X0)),X0)),sF13)
    | ~ spl17_20
    | ~ spl17_35
    | ~ spl17_69 ),
    inference(forward_demodulation,[],[f9901,f1411]) ).

fof(f9901,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(false1,X0)),X0)),sF13)
    | ~ spl17_20
    | ~ spl17_69 ),
    inference(forward_demodulation,[],[f6565,f2817]) ).

fof(f6565,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),sF13)
    | ~ spl17_20 ),
    inference(forward_demodulation,[],[f6564,f719]) ).

fof(f17791,plain,
    ( spl17_203
    | spl17_212
    | spl17_51 ),
    inference(avatar_split_clause,[],[f17787,f1613,f17789,f16970]) ).

fof(f17787,plain,
    ( ! [X2,X3] :
        ( true = prop(sK3(err,X2))
        | ~ forallprefers(lazy_impl(prop(X3),err),true) )
    | spl17_51 ),
    inference(forward_demodulation,[],[f17767,f221]) ).

fof(f17767,plain,
    ( ! [X2,X3] :
        ( true = prop(sK3(err,X2))
        | ~ forallprefers(lazy_impl(prop(X3),err),lazy_impl(false1,err)) )
    | spl17_51 ),
    inference(superposition,[],[f6974,f253]) ).

fof(f6974,plain,
    ( ! [X16,X17] : ~ forallprefers(lazy_impl(prop(X17),err),lazy_impl(prop(sK3(err,X16)),err))
    | spl17_51 ),
    inference(forward_demodulation,[],[f6973,f5535]) ).

fof(f6973,plain,
    ( ! [X16,X17] : ~ forallprefers(lazy_impl(prop(X17),impl(err,impl(impl(X16,X17),X17))),lazy_impl(prop(sK3(err,X16)),err))
    | spl17_51 ),
    inference(forward_demodulation,[],[f6972,f5535]) ).

fof(f6972,plain,
    ( ! [X16,X17] : ~ forallprefers(lazy_impl(prop(X17),impl(impl(err,X17),impl(impl(X16,X17),X17))),lazy_impl(prop(sK3(err,X16)),err))
    | spl17_51 ),
    inference(forward_demodulation,[],[f6963,f5535]) ).

fof(f6963,plain,
    ( ! [X16,X17] : ~ forallprefers(lazy_impl(prop(X17),impl(impl(err,X17),impl(impl(X16,X17),X17))),lazy_impl(prop(sK3(err,X16)),impl(err,impl(impl(X16,sK3(err,X16)),sK3(err,X16)))))
    | spl17_51 ),
    inference(superposition,[],[f192,f5535]) ).

fof(f192,plain,
    ! [X3,X0,X1] : ~ forallprefers(lazy_impl(prop(X3),impl(impl(X0,X3),impl(impl(X1,X3),X3))),lazy_impl(prop(sK3(X0,X1)),impl(impl(X0,sK3(X0,X1)),impl(impl(X1,sK3(X0,X1)),sK3(X0,X1))))),
    inference(definition_unfolding,[],[f125,f167,f167]) ).

fof(f167,plain,
    ! [X2,X0,X1] : lazy_impl(prop(X2),impl(impl(X1,X2),impl(impl(X0,X2),X2))) = f3(X1,X0,X2),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X2,X1] : lazy_impl(prop(X2),impl(impl(X1,X2),impl(impl(X0,X2),X2))) = f3(X1,X0,X2),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X5,X4,X6] : f3(X4,X5,X6) = lazy_impl(prop(X6),impl(impl(X4,X6),impl(impl(X5,X6),X6))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_f3) ).

fof(f125,plain,
    ! [X3,X0,X1] : ~ forallprefers(f3(X0,X1,X3),f3(X0,X1,sK3(X0,X1))),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X1,X0] :
    ? [X2] :
      ( or2(X0,X1) = phi(f3(X0,X1,X2))
      & ! [X3] : ~ forallprefers(f3(X0,X1,X3),f3(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
    ? [X2] :
      ( or2(X0,X1) = phi(f3(X0,X1,X2))
      & ~ ? [X3] : forallprefers(f3(X0,X1,X3),f3(X0,X1,X2)) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X4,X5] :
    ? [X6] :
      ( or2(X4,X5) = phi(f3(X4,X5,X6))
      & ~ ? [X7] : forallprefers(f3(X4,X5,X7),f3(X4,X5,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_or2) ).

fof(f17214,plain,
    ( ~ spl17_64
    | ~ spl17_11
    | spl17_116
    | ~ spl17_203 ),
    inference(avatar_split_clause,[],[f17179,f16970,f7063,f401,f2747]) ).

fof(f7063,plain,
    ( spl17_116
  <=> ! [X0] :
        ( bool(lazy_impl(prop(X0),err))
        | ~ d(lazy_impl(prop(X0),err)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_116])]) ).

fof(f17179,plain,
    ( ! [X0] :
        ( bool(lazy_impl(prop(X0),err))
        | ~ d(true)
        | ~ bool(true)
        | ~ d(lazy_impl(prop(X0),err)) )
    | ~ spl17_203 ),
    inference(resolution,[],[f16971,f127]) ).

fof(f16971,plain,
    ( ! [X1] : ~ forallprefers(lazy_impl(prop(X1),err),true)
    | ~ spl17_203 ),
    inference(avatar_component_clause,[],[f16970]) ).

fof(f16980,plain,
    ( spl17_205
    | spl17_203
    | spl17_51 ),
    inference(avatar_split_clause,[],[f16976,f1613,f16970,f16978]) ).

fof(f16976,plain,
    ( ! [X2,X3] :
        ( ~ forallprefers(lazy_impl(prop(X3),err),true)
        | true = prop(sK2(err,X2)) )
    | spl17_51 ),
    inference(forward_demodulation,[],[f16948,f221]) ).

fof(f16948,plain,
    ( ! [X2,X3] :
        ( ~ forallprefers(lazy_impl(prop(X3),err),lazy_impl(false1,err))
        | true = prop(sK2(err,X2)) )
    | spl17_51 ),
    inference(superposition,[],[f6971,f253]) ).

fof(f15676,plain,
    ( spl17_103
    | spl17_51 ),
    inference(avatar_split_clause,[],[f5523,f1613,f5234]) ).

fof(f5523,plain,
    ( false1 = prop(err)
    | spl17_51 ),
    inference(resolution,[],[f1614,f215]) ).

fof(f15672,plain,
    ( spl17_29
    | spl17_51
    | ~ spl17_52 ),
    inference(avatar_split_clause,[],[f15638,f1667,f1613,f968]) ).

fof(f15638,plain,
    ( true = err
    | spl17_51
    | ~ spl17_52 ),
    inference(superposition,[],[f1669,f5531]) ).

fof(f1669,plain,
    ( true = impl(false1,err)
    | ~ spl17_52 ),
    inference(avatar_component_clause,[],[f1667]) ).

fof(f12527,plain,
    ( ~ spl17_105
    | spl17_51
    | ~ spl17_116 ),
    inference(avatar_split_clause,[],[f12526,f7063,f1613,f5413]) ).

fof(f12526,plain,
    ( bool(err)
    | ~ d(err)
    | ~ spl17_116 ),
    inference(forward_demodulation,[],[f12525,f284]) ).

fof(f12525,plain,
    ( ~ d(lazy_impl(true,err))
    | bool(err)
    | ~ spl17_116 ),
    inference(forward_demodulation,[],[f12472,f284]) ).

fof(f12472,plain,
    ( bool(lazy_impl(true,err))
    | ~ d(lazy_impl(true,err))
    | ~ spl17_116 ),
    inference(superposition,[],[f7064,f238]) ).

fof(f238,plain,
    true = prop(true),
    inference(resolution,[],[f165,f227]) ).

fof(f7064,plain,
    ( ! [X0] :
        ( ~ d(lazy_impl(prop(X0),err))
        | bool(lazy_impl(prop(X0),err)) )
    | ~ spl17_116 ),
    inference(avatar_component_clause,[],[f7063]) ).

fof(f10324,plain,
    ( spl17_37
    | ~ spl17_185
    | ~ spl17_198 ),
    inference(avatar_split_clause,[],[f10320,f9937,f8590,f1417]) ).

fof(f10320,plain,
    ( true = false1
    | ~ spl17_185
    | ~ spl17_198 ),
    inference(superposition,[],[f10236,f194]) ).

fof(f10236,plain,
    ( true = not1(true)
    | ~ spl17_185
    | ~ spl17_198 ),
    inference(superposition,[],[f8592,f9939]) ).

fof(f8592,plain,
    ( sF13 = not1(sF13)
    | ~ spl17_185 ),
    inference(avatar_component_clause,[],[f8590]) ).

fof(f9931,plain,
    ( spl17_186
    | ~ spl17_106 ),
    inference(avatar_split_clause,[],[f9926,f5417,f8595]) ).

fof(f9926,plain,
    ( true = impl(false1,sF13)
    | ~ spl17_106 ),
    inference(resolution,[],[f5418,f213]) ).

fof(f5418,plain,
    ( bool(sF13)
    | ~ spl17_106 ),
    inference(avatar_component_clause,[],[f5417]) ).

fof(f9838,plain,
    ( spl17_130
    | ~ spl17_69
    | ~ spl17_127 ),
    inference(avatar_split_clause,[],[f9837,f7501,f2815,f7903]) ).

fof(f7501,plain,
    ( spl17_127
  <=> true = impl(false1,sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_127])]) ).

fof(f9837,plain,
    ( true = sF11
    | ~ spl17_69
    | ~ spl17_127 ),
    inference(forward_demodulation,[],[f9780,f7503]) ).

fof(f7503,plain,
    ( true = impl(false1,sF9)
    | ~ spl17_127 ),
    inference(avatar_component_clause,[],[f7501]) ).

fof(f9780,plain,
    ( impl(false1,sF9) = sF11
    | ~ spl17_69 ),
    inference(superposition,[],[f230,f2817]) ).

fof(f9796,plain,
    ( spl17_156
    | ~ spl17_35
    | ~ spl17_69 ),
    inference(avatar_split_clause,[],[f9795,f2815,f1409,f8089]) ).

fof(f9795,plain,
    ( false1 = sF16
    | ~ spl17_35
    | ~ spl17_69 ),
    inference(forward_demodulation,[],[f9785,f274]) ).

fof(f274,plain,
    false1 = and1(true,false1),
    inference(resolution,[],[f116,f226]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ bool(X0)
      | and1(true,X0) = X0 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ bool(X0)
      | and1(true,X0) = X0 ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( bool(X0)
     => and1(true,X0) = X0 ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X3] :
      ( bool(X3)
     => and1(true,X3) = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and1_axiom4) ).

fof(f9785,plain,
    ( sF16 = and1(true,false1)
    | ~ spl17_35
    | ~ spl17_69 ),
    inference(superposition,[],[f3607,f2817]) ).

fof(f3607,plain,
    ( and1(true,sK5) = sF16
    | ~ spl17_35 ),
    inference(superposition,[],[f235,f1411]) ).

fof(f9663,plain,
    ( spl17_125
    | ~ spl17_79
    | ~ spl17_119 ),
    inference(avatar_split_clause,[],[f9662,f7331,f3905,f7474]) ).

fof(f9662,plain,
    ( not1(sF11) = sF11
    | ~ spl17_79
    | ~ spl17_119 ),
    inference(forward_demodulation,[],[f7333,f3907]) ).

fof(f7333,plain,
    ( sF12 = not1(sF11)
    | ~ spl17_119 ),
    inference(avatar_component_clause,[],[f7331]) ).

fof(f9660,plain,
    ( spl17_133
    | ~ spl17_17
    | ~ spl17_70
    | ~ spl17_109 ),
    inference(avatar_split_clause,[],[f9659,f6230,f2819,f551,f7926]) ).

fof(f9659,plain,
    ( false1 = sF11
    | ~ spl17_17
    | ~ spl17_70
    | ~ spl17_109 ),
    inference(forward_demodulation,[],[f9658,f553]) ).

fof(f9658,plain,
    ( sF9 = sF11
    | ~ spl17_70
    | ~ spl17_109 ),
    inference(forward_demodulation,[],[f9332,f6232]) ).

fof(f9332,plain,
    ( impl(true,sF9) = sF11
    | ~ spl17_70 ),
    inference(superposition,[],[f230,f2821]) ).

fof(f9537,plain,
    ( spl17_176
    | ~ spl17_70
    | ~ spl17_130 ),
    inference(avatar_split_clause,[],[f9536,f7903,f2819,f8232]) ).

fof(f9536,plain,
    ( true = impl(true,sF9)
    | ~ spl17_70
    | ~ spl17_130 ),
    inference(forward_demodulation,[],[f9332,f7905]) ).

fof(f9513,plain,
    ( spl17_37
    | ~ spl17_125
    | ~ spl17_133 ),
    inference(avatar_split_clause,[],[f9512,f7926,f7474,f1417]) ).

fof(f9512,plain,
    ( true = false1
    | ~ spl17_125
    | ~ spl17_133 ),
    inference(forward_demodulation,[],[f9510,f196]) ).

fof(f196,plain,
    true = not1(false1),
    inference(definition_unfolding,[],[f135,f113]) ).

fof(f135,plain,
    true = not1(false),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    true = not1(false),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1_axiom2) ).

fof(f9510,plain,
    ( false1 = not1(false1)
    | ~ spl17_125
    | ~ spl17_133 ),
    inference(superposition,[],[f7476,f7928]) ).

fof(f9371,plain,
    ( ~ spl17_130
    | ~ spl17_79
    | spl17_142 ),
    inference(avatar_split_clause,[],[f9370,f7988,f3905,f7903]) ).

fof(f9370,plain,
    ( true != sF11
    | ~ spl17_79
    | spl17_142 ),
    inference(superposition,[],[f7989,f3907]) ).

fof(f7989,plain,
    ( true != sF12
    | spl17_142 ),
    inference(avatar_component_clause,[],[f7988]) ).

fof(f9248,plain,
    ( spl17_130
    | ~ spl17_16
    | ~ spl17_70 ),
    inference(avatar_split_clause,[],[f9247,f2819,f547,f7903]) ).

fof(f9247,plain,
    ( true = sF11
    | ~ spl17_16
    | ~ spl17_70 ),
    inference(forward_demodulation,[],[f9246,f281]) ).

fof(f9246,plain,
    ( impl(true,true) = sF11
    | ~ spl17_16
    | ~ spl17_70 ),
    inference(forward_demodulation,[],[f8819,f2821]) ).

fof(f8819,plain,
    ( impl(sK5,true) = sF11
    | ~ spl17_16 ),
    inference(superposition,[],[f230,f549]) ).

fof(f9164,plain,
    ( ~ spl17_85
    | spl17_41
    | ~ spl17_49 ),
    inference(avatar_split_clause,[],[f7256,f1601,f1452,f4442]) ).

fof(f7256,plain,
    ( err != sK5
    | spl17_41
    | ~ spl17_49 ),
    inference(superposition,[],[f1453,f1603]) ).

fof(f1453,plain,
    ( err != sF16
    | spl17_41 ),
    inference(avatar_component_clause,[],[f1452]) ).

fof(f9095,plain,
    ( spl17_71
    | ~ spl17_35
    | ~ spl17_48
    | ~ spl17_49
    | spl17_67 ),
    inference(avatar_split_clause,[],[f9094,f2789,f1601,f1597,f1409,f2906]) ).

fof(f9094,plain,
    ( not1(sK5) = sK5
    | ~ spl17_35
    | ~ spl17_48
    | ~ spl17_49
    | spl17_67 ),
    inference(forward_demodulation,[],[f7228,f1603]) ).

fof(f7228,plain,
    ( not1(sK5) = sF16
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67 ),
    inference(superposition,[],[f1599,f7145]) ).

fof(f7145,plain,
    ( lazy_impl(true,sK5) = sF16
    | ~ spl17_35
    | spl17_67 ),
    inference(forward_demodulation,[],[f5621,f3607]) ).

fof(f5621,plain,
    ( lazy_impl(true,sK5) = and1(true,sK5)
    | spl17_67 ),
    inference(resolution,[],[f2790,f1197]) ).

fof(f1197,plain,
    ! [X19] :
      ( bool(X19)
      | lazy_impl(true,X19) = and1(true,X19) ),
    inference(resolution,[],[f204,f227]) ).

fof(f9065,plain,
    ( spl17_19
    | spl17_23 ),
    inference(avatar_split_clause,[],[f4802,f733,f712]) ).

fof(f4802,plain,
    ( sF13 = lazy_impl(true,sF13)
    | spl17_23 ),
    inference(trivial_inequality_removal,[],[f4801]) ).

fof(f4801,plain,
    ( sF13 = lazy_impl(true,sF13)
    | err != err
    | spl17_23 ),
    inference(superposition,[],[f734,f190]) ).

fof(f9064,plain,
    ( spl17_19
    | ~ spl17_86 ),
    inference(avatar_split_clause,[],[f4794,f4737,f712]) ).

fof(f4794,plain,
    ( sF13 = lazy_impl(true,sF13)
    | ~ spl17_86 ),
    inference(resolution,[],[f4738,f189]) ).

fof(f4738,plain,
    ( d(sF13)
    | ~ spl17_86 ),
    inference(avatar_component_clause,[],[f4737]) ).

fof(f9026,plain,
    ( ~ spl17_50
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | spl17_80 ),
    inference(avatar_split_clause,[],[f9025,f3909,f2906,f2789,f1597,f1606]) ).

fof(f9025,plain,
    ( false1 != prop(sK5)
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | spl17_80 ),
    inference(forward_demodulation,[],[f3910,f8456]) ).

fof(f8456,plain,
    ( sK5 = sF11
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71 ),
    inference(forward_demodulation,[],[f8439,f2908]) ).

fof(f8439,plain,
    ( not1(sK5) = sF11
    | ~ spl17_48
    | spl17_67 ),
    inference(superposition,[],[f230,f5646]) ).

fof(f5646,plain,
    ( ! [X4] : not1(sK5) = impl(sK5,X4)
    | ~ spl17_48
    | spl17_67 ),
    inference(forward_demodulation,[],[f5619,f1599]) ).

fof(f5619,plain,
    ( ! [X4] : lazy_impl(true,sK5) = impl(sK5,X4)
    | spl17_67 ),
    inference(resolution,[],[f2790,f212]) ).

fof(f9011,plain,
    ( spl17_84
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_102
    | ~ spl17_119 ),
    inference(avatar_split_clause,[],[f9010,f7331,f5230,f2906,f2789,f1597,f4436]) ).

fof(f9010,plain,
    ( err = not1(sK5)
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_102
    | ~ spl17_119 ),
    inference(forward_demodulation,[],[f8507,f5232]) ).

fof(f8507,plain,
    ( not1(sK5) = sF12
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_119 ),
    inference(superposition,[],[f7333,f8456]) ).

fof(f9009,plain,
    ( spl17_83
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_80
    | ~ spl17_102 ),
    inference(avatar_split_clause,[],[f9008,f5230,f3909,f2906,f2789,f1597,f1409,f4133]) ).

fof(f9008,plain,
    ( err = lazy_impl(true,sK5)
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_80
    | ~ spl17_102 ),
    inference(forward_demodulation,[],[f8506,f5232]) ).

fof(f8506,plain,
    ( lazy_impl(true,sK5) = sF12
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_80 ),
    inference(superposition,[],[f6323,f8456]) ).

fof(f6323,plain,
    ( sF12 = lazy_impl(true,sF11)
    | ~ spl17_35
    | ~ spl17_80 ),
    inference(forward_demodulation,[],[f6321,f3606]) ).

fof(f3606,plain,
    ( impl(true,sF11) = sF12
    | ~ spl17_35 ),
    inference(superposition,[],[f231,f1411]) ).

fof(f6321,plain,
    ( impl(true,sF11) = lazy_impl(true,sF11)
    | ~ spl17_80 ),
    inference(resolution,[],[f5930,f1265]) ).

fof(f5930,plain,
    ( ~ bool(sF11)
    | ~ spl17_80 ),
    inference(trivial_inequality_removal,[],[f5917]) ).

fof(f5917,plain,
    ( ~ bool(sF11)
    | false1 != false1
    | ~ spl17_80 ),
    inference(superposition,[],[f216,f3911]) ).

fof(f216,plain,
    ! [X0] :
      ( prop(X0) != false1
      | ~ bool(X0) ),
    inference(definition_unfolding,[],[f169,f113]) ).

fof(f169,plain,
    ! [X0] :
      ( false != prop(X0)
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8972,plain,
    ( spl17_83
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_120 ),
    inference(avatar_split_clause,[],[f8971,f7338,f2906,f2789,f1597,f4133]) ).

fof(f8971,plain,
    ( err = lazy_impl(true,sK5)
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_120 ),
    inference(forward_demodulation,[],[f7340,f8456]) ).

fof(f8919,plain,
    ( ~ spl17_19
    | ~ spl17_20
    | ~ spl17_35
    | ~ spl17_48
    | ~ spl17_49
    | spl17_67
    | ~ spl17_71
    | ~ spl17_73 ),
    inference(avatar_contradiction_clause,[],[f8918]) ).

fof(f8918,plain,
    ( $false
    | ~ spl17_19
    | ~ spl17_20
    | ~ spl17_35
    | ~ spl17_48
    | ~ spl17_49
    | spl17_67
    | ~ spl17_71
    | ~ spl17_73 ),
    inference(trivial_inequality_removal,[],[f8916]) ).

fof(f8916,plain,
    ( sK5 != sK5
    | ~ spl17_19
    | ~ spl17_20
    | ~ spl17_35
    | ~ spl17_48
    | ~ spl17_49
    | spl17_67
    | ~ spl17_71
    | ~ spl17_73 ),
    inference(superposition,[],[f7259,f8539]) ).

fof(f8539,plain,
    ( sF13 = sK5
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_73 ),
    inference(forward_demodulation,[],[f8538,f8456]) ).

fof(f8538,plain,
    ( sF13 = sF11
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_73 ),
    inference(forward_demodulation,[],[f8530,f230]) ).

fof(f8530,plain,
    ( sF13 = impl(sK5,sF9)
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_73 ),
    inference(superposition,[],[f232,f8519]) ).

fof(f8519,plain,
    ( sF12 = sK5
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71
    | ~ spl17_73 ),
    inference(forward_demodulation,[],[f8502,f2921]) ).

fof(f8502,plain,
    ( sF12 = impl(true,sK5)
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67
    | ~ spl17_71 ),
    inference(superposition,[],[f3606,f8456]) ).

fof(f7259,plain,
    ( sF13 != sK5
    | ~ spl17_19
    | ~ spl17_20
    | ~ spl17_49 ),
    inference(superposition,[],[f7258,f6603]) ).

fof(f6603,plain,
    ( sF13 = sF15
    | ~ spl17_19
    | ~ spl17_20 ),
    inference(forward_demodulation,[],[f3440,f714]) ).

fof(f8739,plain,
    ( spl17_127
    | ~ spl17_2
    | ~ spl17_8
    | ~ spl17_31
    | ~ spl17_112 ),
    inference(avatar_split_clause,[],[f8738,f6436,f1017,f365,f249,f7501]) ).

fof(f8738,plain,
    ( true = impl(false1,sF9)
    | ~ spl17_2
    | ~ spl17_8
    | ~ spl17_31
    | ~ spl17_112 ),
    inference(forward_demodulation,[],[f8737,f6438]) ).

fof(f8737,plain,
    ( true = impl(false1,lazy_impl(true,sF9))
    | ~ spl17_2
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(forward_demodulation,[],[f4369,f250]) ).

fof(f4369,plain,
    ( true = impl(false1,lazy_impl(sF10,sF9))
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(superposition,[],[f3807,f229]) ).

fof(f8665,plain,
    ( ~ spl17_71
    | ~ spl17_20
    | ~ spl17_21
    | ~ spl17_35
    | ~ spl17_48
    | spl17_56
    | spl17_67
    | ~ spl17_71
    | ~ spl17_73 ),
    inference(avatar_split_clause,[],[f8664,f2919,f2906,f2789,f1983,f1597,f1409,f722,f717,f2906]) ).

fof(f8664,plain,
    ( not1(sK5) != sK5
    | ~ spl17_20
    | ~ spl17_21
    | ~ spl17_35
    | ~ spl17_48
    | spl17_56
    | spl17_67
    | ~ spl17_71
    | ~ spl17_73 ),
    inference(forward_demodulation,[],[f6760,f8539]) ).

fof(f6760,plain,
    ( sF13 != not1(sF13)
    | ~ spl17_20
    | ~ spl17_21
    | spl17_56 ),
    inference(forward_demodulation,[],[f6759,f719]) ).

fof(f6759,plain,
    ( not1(sF13) != sF14
    | ~ spl17_20
    | ~ spl17_21
    | spl17_56 ),
    inference(forward_demodulation,[],[f6758,f724]) ).

fof(f6758,plain,
    ( not1(sF13) != sF15
    | ~ spl17_20
    | spl17_56 ),
    inference(forward_demodulation,[],[f1984,f719]) ).

fof(f1984,plain,
    ( sF15 != not1(sF14)
    | spl17_56 ),
    inference(avatar_component_clause,[],[f1983]) ).

fof(f8559,plain,
    ( ~ spl17_70
    | ~ spl17_3
    | ~ spl17_21
    | ~ spl17_49 ),
    inference(avatar_split_clause,[],[f7261,f1601,f722,f258,f2819]) ).

fof(f7261,plain,
    ( true != sK5
    | ~ spl17_3
    | ~ spl17_21
    | ~ spl17_49 ),
    inference(forward_demodulation,[],[f7260,f6649]) ).

fof(f6649,plain,
    ( true = sF14
    | ~ spl17_3 ),
    inference(forward_demodulation,[],[f6648,f221]) ).

fof(f6648,plain,
    ( sF14 = lazy_impl(false1,sF13)
    | ~ spl17_3 ),
    inference(superposition,[],[f233,f259]) ).

fof(f7260,plain,
    ( sK5 != sF14
    | ~ spl17_21
    | ~ spl17_49 ),
    inference(superposition,[],[f7258,f724]) ).

fof(f7481,plain,
    ( spl17_37
    | spl17_125
    | ~ spl17_80
    | ~ spl17_123 ),
    inference(avatar_split_clause,[],[f7480,f7355,f3909,f7474,f1417]) ).

fof(f7480,plain,
    ( not1(sF11) = sF11
    | true = false1
    | ~ spl17_80
    | ~ spl17_123 ),
    inference(forward_demodulation,[],[f7468,f3911]) ).

fof(f7468,plain,
    ( true = prop(sF11)
    | not1(sF11) = sF11
    | ~ spl17_123 ),
    inference(superposition,[],[f302,f7357]) ).

fof(f7358,plain,
    ( spl17_123
    | spl17_102
    | ~ spl17_35
    | ~ spl17_80 ),
    inference(avatar_split_clause,[],[f7323,f3909,f1409,f5230,f7355]) ).

fof(f7323,plain,
    ( err = sF12
    | lazy_impl(true,sF11) = sF11
    | ~ spl17_35
    | ~ spl17_80 ),
    inference(superposition,[],[f6323,f190]) ).

fof(f7353,plain,
    ( spl17_79
    | spl17_102
    | ~ spl17_35
    | ~ spl17_80 ),
    inference(avatar_split_clause,[],[f7328,f3909,f1409,f5230,f3905]) ).

fof(f7328,plain,
    ( err = sF12
    | sF12 = sF11
    | ~ spl17_35
    | ~ spl17_80 ),
    inference(superposition,[],[f190,f6323]) ).

fof(f7341,plain,
    ( spl17_79
    | spl17_120
    | ~ spl17_35
    | ~ spl17_80 ),
    inference(avatar_split_clause,[],[f7322,f3909,f1409,f7338,f3905]) ).

fof(f7322,plain,
    ( err = lazy_impl(true,sF11)
    | sF12 = sF11
    | ~ spl17_35
    | ~ spl17_80 ),
    inference(superposition,[],[f6323,f190]) ).

fof(f7336,plain,
    ( spl17_37
    | spl17_119
    | ~ spl17_35
    | ~ spl17_80 ),
    inference(avatar_split_clause,[],[f7335,f3909,f1409,f7331,f1417]) ).

fof(f7335,plain,
    ( sF12 = not1(sF11)
    | true = false1
    | ~ spl17_35
    | ~ spl17_80 ),
    inference(forward_demodulation,[],[f7326,f3911]) ).

fof(f7326,plain,
    ( sF12 = not1(sF11)
    | true = prop(sF11)
    | ~ spl17_35
    | ~ spl17_80 ),
    inference(superposition,[],[f302,f6323]) ).

fof(f7249,plain,
    ( spl17_72
    | spl17_49
    | ~ spl17_35
    | spl17_67
    | ~ spl17_71 ),
    inference(avatar_split_clause,[],[f7248,f2906,f2789,f1409,f1601,f2913]) ).

fof(f7248,plain,
    ( sK5 = sF16
    | true = impl(false1,sK5)
    | ~ spl17_35
    | spl17_67
    | ~ spl17_71 ),
    inference(forward_demodulation,[],[f7223,f2908]) ).

fof(f7223,plain,
    ( true = impl(false1,sK5)
    | not1(sK5) = sF16
    | ~ spl17_35
    | spl17_67 ),
    inference(superposition,[],[f7145,f304]) ).

fof(f7245,plain,
    ( spl17_41
    | spl17_49
    | ~ spl17_35
    | spl17_67 ),
    inference(avatar_split_clause,[],[f7232,f2789,f1409,f1601,f1452]) ).

fof(f7232,plain,
    ( sK5 = sF16
    | err = sF16
    | ~ spl17_35
    | spl17_67 ),
    inference(superposition,[],[f190,f7145]) ).

fof(f7244,plain,
    ( spl17_83
    | spl17_49
    | ~ spl17_35
    | spl17_67 ),
    inference(avatar_split_clause,[],[f7226,f2789,f1409,f1601,f4133]) ).

fof(f7226,plain,
    ( sK5 = sF16
    | err = lazy_impl(true,sK5)
    | ~ spl17_35
    | spl17_67 ),
    inference(superposition,[],[f7145,f190]) ).

fof(f7143,plain,
    ( spl17_85
    | spl17_117
    | ~ spl17_48
    | ~ spl17_71 ),
    inference(avatar_split_clause,[],[f7138,f2906,f1597,f7140,f4442]) ).

fof(f7138,plain,
    ( lazy_impl(true,sK5) = sK5
    | err = sK5
    | ~ spl17_48
    | ~ spl17_71 ),
    inference(forward_demodulation,[],[f4043,f2908]) ).

fof(f4043,plain,
    ( err = not1(sK5)
    | lazy_impl(true,sK5) = sK5
    | ~ spl17_48 ),
    inference(superposition,[],[f1599,f190]) ).

fof(f7127,plain,
    ( spl17_83
    | spl17_68 ),
    inference(avatar_split_clause,[],[f5652,f2793,f4133]) ).

fof(f5652,plain,
    ( err = lazy_impl(true,sK5)
    | spl17_68 ),
    inference(resolution,[],[f2795,f191]) ).

fof(f2795,plain,
    ( ~ d(sK5)
    | spl17_68 ),
    inference(avatar_component_clause,[],[f2793]) ).

fof(f7126,plain,
    ( spl17_85
    | ~ spl17_81
    | ~ spl17_82 ),
    inference(avatar_split_clause,[],[f7125,f4128,f4122,f4442]) ).

fof(f7125,plain,
    ( err = sK5
    | ~ spl17_81
    | ~ spl17_82 ),
    inference(forward_demodulation,[],[f4124,f4130]) ).

fof(f6549,plain,
    ( spl17_53
    | spl17_51 ),
    inference(avatar_split_clause,[],[f6548,f1613,f1673]) ).

fof(f6548,plain,
    ( err = impl(true,err)
    | spl17_51 ),
    inference(forward_demodulation,[],[f5528,f284]) ).

fof(f5528,plain,
    ( lazy_impl(true,err) = impl(true,err)
    | spl17_51 ),
    inference(resolution,[],[f1614,f1265]) ).

fof(f6525,plain,
    ( spl17_102
    | ~ spl17_17
    | ~ spl17_35
    | ~ spl17_48
    | ~ spl17_53
    | spl17_67
    | ~ spl17_84 ),
    inference(avatar_split_clause,[],[f6524,f4436,f2789,f1673,f1597,f1409,f551,f5230]) ).

fof(f6524,plain,
    ( err = sF12
    | ~ spl17_17
    | ~ spl17_35
    | ~ spl17_48
    | ~ spl17_53
    | spl17_67
    | ~ spl17_84 ),
    inference(forward_demodulation,[],[f6523,f1675]) ).

fof(f6523,plain,
    ( impl(true,err) = sF12
    | ~ spl17_17
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67
    | ~ spl17_84 ),
    inference(forward_demodulation,[],[f6520,f1411]) ).

fof(f6520,plain,
    ( sF12 = impl(sK6,err)
    | ~ spl17_17
    | ~ spl17_48
    | spl17_67
    | ~ spl17_84 ),
    inference(superposition,[],[f231,f6513]) ).

fof(f6513,plain,
    ( err = sF11
    | ~ spl17_17
    | ~ spl17_48
    | spl17_67
    | ~ spl17_84 ),
    inference(forward_demodulation,[],[f6502,f5647]) ).

fof(f5647,plain,
    ( ! [X4] : err = impl(sK5,X4)
    | ~ spl17_48
    | spl17_67
    | ~ spl17_84 ),
    inference(forward_demodulation,[],[f5646,f4438]) ).

fof(f6502,plain,
    ( impl(sK5,false1) = sF11
    | ~ spl17_17 ),
    inference(superposition,[],[f230,f553]) ).

fof(f6439,plain,
    ( spl17_51
    | spl17_112
    | ~ spl17_2
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(avatar_split_clause,[],[f5847,f1017,f365,f249,f6436,f1613]) ).

fof(f5847,plain,
    ( sF9 = lazy_impl(true,sF9)
    | bool(err)
    | ~ spl17_2
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(superposition,[],[f5072,f190]) ).

fof(f5072,plain,
    ( bool(lazy_impl(true,sF9))
    | ~ spl17_2
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(forward_demodulation,[],[f3821,f250]) ).

fof(f3821,plain,
    ( bool(lazy_impl(sF10,sF9))
    | ~ spl17_8
    | ~ spl17_31 ),
    inference(superposition,[],[f3660,f229]) ).

fof(f6409,plain,
    ( spl17_102
    | ~ spl17_16
    | ~ spl17_35
    | ~ spl17_48
    | ~ spl17_53
    | spl17_67
    | ~ spl17_84 ),
    inference(avatar_split_clause,[],[f6408,f4436,f2789,f1673,f1597,f1409,f547,f5230]) ).

fof(f6408,plain,
    ( err = sF12
    | ~ spl17_16
    | ~ spl17_35
    | ~ spl17_48
    | ~ spl17_53
    | spl17_67
    | ~ spl17_84 ),
    inference(forward_demodulation,[],[f6356,f1675]) ).

fof(f6356,plain,
    ( impl(true,err) = sF12
    | ~ spl17_16
    | ~ spl17_35
    | ~ spl17_48
    | spl17_67
    | ~ spl17_84 ),
    inference(forward_demodulation,[],[f6353,f1411]) ).

fof(f6353,plain,
    ( sF12 = impl(sK6,err)
    | ~ spl17_16
    | ~ spl17_48
    | spl17_67
    | ~ spl17_84 ),
    inference(superposition,[],[f231,f6345]) ).

fof(f6345,plain,
    ( err = sF11
    | ~ spl17_16
    | ~ spl17_48
    | spl17_67
    | ~ spl17_84 ),
    inference(forward_demodulation,[],[f6332,f5647]) ).

fof(f6332,plain,
    ( impl(sK5,true) = sF11
    | ~ spl17_16 ),
    inference(superposition,[],[f230,f549]) ).

fof(f5788,plain,
    spl17_105,
    inference(avatar_contradiction_clause,[],[f5786]) ).

fof(f5786,plain,
    ( $false
    | spl17_105 ),
    inference(resolution,[],[f5415,f134]) ).

fof(f5415,plain,
    ( ~ d(err)
    | spl17_105 ),
    inference(avatar_component_clause,[],[f5413]) ).

fof(f5607,plain,
    ( spl17_71
    | spl17_84
    | ~ spl17_48 ),
    inference(avatar_split_clause,[],[f4045,f1597,f4436,f2906]) ).

fof(f4045,plain,
    ( err = not1(sK5)
    | not1(sK5) = sK5
    | ~ spl17_48 ),
    inference(superposition,[],[f190,f1599]) ).

fof(f5449,plain,
    ( spl17_37
    | ~ spl17_50
    | ~ spl17_70 ),
    inference(avatar_split_clause,[],[f5448,f2819,f1606,f1417]) ).

fof(f5448,plain,
    ( true = false1
    | ~ spl17_50
    | ~ spl17_70 ),
    inference(forward_demodulation,[],[f5447,f238]) ).

fof(f5447,plain,
    ( false1 = prop(true)
    | ~ spl17_50
    | ~ spl17_70 ),
    inference(forward_demodulation,[],[f1608,f2821]) ).

fof(f5410,plain,
    ( spl17_26
    | ~ spl17_51 ),
    inference(avatar_split_clause,[],[f5401,f1613,f907]) ).

fof(f5401,plain,
    ( true = prop(err)
    | ~ spl17_51 ),
    inference(resolution,[],[f1615,f165]) ).

fof(f1615,plain,
    ( bool(err)
    | ~ spl17_51 ),
    inference(avatar_component_clause,[],[f1613]) ).

fof(f4793,plain,
    ( spl17_18
    | ~ spl17_2
    | ~ spl17_23 ),
    inference(avatar_split_clause,[],[f4777,f733,f249,f708]) ).

fof(f708,plain,
    ( spl17_18
  <=> err = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).

fof(f4777,plain,
    ( err = sF14
    | ~ spl17_2
    | ~ spl17_23 ),
    inference(superposition,[],[f735,f3219]) ).

fof(f3219,plain,
    ( lazy_impl(true,sF13) = sF14
    | ~ spl17_2 ),
    inference(superposition,[],[f233,f250]) ).

fof(f4458,plain,
    ( spl17_84
    | ~ spl17_48
    | ~ spl17_83 ),
    inference(avatar_split_clause,[],[f4428,f4133,f1597,f4436]) ).

fof(f4428,plain,
    ( err = not1(sK5)
    | ~ spl17_48
    | ~ spl17_83 ),
    inference(superposition,[],[f1599,f4135]) ).

fof(f4457,plain,
    ( spl17_72
    | spl17_85
    | ~ spl17_71
    | ~ spl17_83 ),
    inference(avatar_split_clause,[],[f4456,f4133,f2906,f4442,f2913]) ).

fof(f4456,plain,
    ( err = sK5
    | true = impl(false1,sK5)
    | ~ spl17_71
    | ~ spl17_83 ),
    inference(forward_demodulation,[],[f4430,f2908]) ).

fof(f4430,plain,
    ( true = impl(false1,sK5)
    | err = not1(sK5)
    | ~ spl17_83 ),
    inference(superposition,[],[f304,f4135]) ).

fof(f4454,plain,
    ( spl17_82
    | spl17_67
    | ~ spl17_83 ),
    inference(avatar_split_clause,[],[f4427,f4133,f2789,f4128]) ).

fof(f4427,plain,
    ( err = impl(false1,sK5)
    | spl17_67
    | ~ spl17_83 ),
    inference(superposition,[],[f2857,f4135]) ).

fof(f2857,plain,
    ( lazy_impl(true,sK5) = impl(false1,sK5)
    | spl17_67 ),
    inference(resolution,[],[f2790,f1267]) ).

fof(f4453,plain,
    ( spl17_37
    | spl17_84
    | ~ spl17_50
    | ~ spl17_83 ),
    inference(avatar_split_clause,[],[f4452,f4133,f1606,f4436,f1417]) ).

fof(f4452,plain,
    ( err = not1(sK5)
    | true = false1
    | ~ spl17_50
    | ~ spl17_83 ),
    inference(forward_demodulation,[],[f4425,f1608]) ).

fof(f4425,plain,
    ( true = prop(sK5)
    | err = not1(sK5)
    | ~ spl17_83 ),
    inference(superposition,[],[f4135,f302]) ).

fof(f4272,plain,
    ( spl17_73
    | ~ spl17_35
    | spl17_67
    | ~ spl17_79
    | ~ spl17_81 ),
    inference(avatar_split_clause,[],[f4271,f4122,f3905,f2789,f1409,f2919]) ).

fof(f4271,plain,
    ( sK5 = impl(true,sK5)
    | ~ spl17_35
    | spl17_67
    | ~ spl17_79
    | ~ spl17_81 ),
    inference(forward_demodulation,[],[f4270,f4208]) ).

fof(f4208,plain,
    ( sK5 = sF11
    | spl17_67
    | ~ spl17_81 ),
    inference(forward_demodulation,[],[f4196,f4124]) ).

fof(f4196,plain,
    ( impl(false1,sK5) = sF11
    | spl17_67 ),
    inference(superposition,[],[f230,f2863]) ).

fof(f2863,plain,
    ( ! [X4] : impl(sK5,X4) = impl(false1,sK5)
    | spl17_67 ),
    inference(forward_demodulation,[],[f2852,f2857]) ).

fof(f2852,plain,
    ( ! [X4] : lazy_impl(true,sK5) = impl(sK5,X4)
    | spl17_67 ),
    inference(resolution,[],[f2790,f212]) ).

fof(f4270,plain,
    ( impl(true,sK5) = sF11
    | ~ spl17_35
    | spl17_67
    | ~ spl17_79
    | ~ spl17_81 ),
    inference(forward_demodulation,[],[f4262,f3907]) ).

fof(f4262,plain,
    ( sF12 = impl(true,sK5)
    | ~ spl17_35
    | spl17_67
    | ~ spl17_81 ),
    inference(superposition,[],[f3606,f4208]) ).

fof(f4153,plain,
    ( spl17_81
    | spl17_82
    | spl17_67 ),
    inference(avatar_split_clause,[],[f4118,f2789,f4128,f4122]) ).

fof(f4118,plain,
    ( err = impl(false1,sK5)
    | impl(false1,sK5) = sK5
    | spl17_67 ),
    inference(superposition,[],[f190,f2857]) ).

fof(f4141,plain,
    ( spl17_81
    | spl17_37
    | ~ spl17_50
    | spl17_67
    | ~ spl17_71 ),
    inference(avatar_split_clause,[],[f4140,f2906,f2789,f1606,f1417,f4122]) ).

fof(f4140,plain,
    ( true = false1
    | impl(false1,sK5) = sK5
    | ~ spl17_50
    | spl17_67
    | ~ spl17_71 ),
    inference(forward_demodulation,[],[f4139,f1608]) ).

fof(f4139,plain,
    ( impl(false1,sK5) = sK5
    | true = prop(sK5)
    | spl17_67
    | ~ spl17_71 ),
    inference(forward_demodulation,[],[f4109,f2908]) ).

fof(f4109,plain,
    ( not1(sK5) = impl(false1,sK5)
    | true = prop(sK5)
    | spl17_67 ),
    inference(superposition,[],[f2857,f302]) ).

fof(f4136,plain,
    ( spl17_81
    | spl17_83
    | spl17_67 ),
    inference(avatar_split_clause,[],[f4110,f2789,f4133,f4122]) ).

fof(f4110,plain,
    ( err = lazy_impl(true,sK5)
    | impl(false1,sK5) = sK5
    | spl17_67 ),
    inference(superposition,[],[f2857,f190]) ).

fof(f3913,plain,
    ( spl17_80
    | spl17_79
    | ~ spl17_35 ),
    inference(avatar_split_clause,[],[f3899,f1409,f3905,f3909]) ).

fof(f3899,plain,
    ( sF12 = sF11
    | false1 = prop(sF11)
    | ~ spl17_35 ),
    inference(superposition,[],[f282,f3606]) ).

fof(f3657,plain,
    ( spl17_28
    | ~ spl17_35
    | ~ spl17_54 ),
    inference(avatar_split_clause,[],[f3653,f1808,f1409,f964]) ).

fof(f3653,plain,
    ( err = false1
    | ~ spl17_35
    | ~ spl17_54 ),
    inference(superposition,[],[f194,f3610]) ).

fof(f3610,plain,
    ( err = not1(true)
    | ~ spl17_35
    | ~ spl17_54 ),
    inference(superposition,[],[f1810,f1411]) ).

fof(f3584,plain,
    ~ spl17_29,
    inference(avatar_contradiction_clause,[],[f3583]) ).

fof(f3583,plain,
    ( $false
    | ~ spl17_29 ),
    inference(trivial_inequality_removal,[],[f3565]) ).

fof(f3565,plain,
    ( true != true
    | ~ spl17_29 ),
    inference(superposition,[],[f142,f970]) ).

fof(f970,plain,
    ( true = err
    | ~ spl17_29 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f142,plain,
    true != err,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( false != true
    & true != err
    & false != err ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct_false_true_err) ).

fof(f3535,plain,
    ~ spl17_28,
    inference(avatar_contradiction_clause,[],[f3534]) ).

fof(f3534,plain,
    ( $false
    | ~ spl17_28 ),
    inference(trivial_inequality_removal,[],[f3503]) ).

fof(f3503,plain,
    ( err != err
    | ~ spl17_28 ),
    inference(superposition,[],[f202,f966]) ).

fof(f966,plain,
    ( err = false1
    | ~ spl17_28 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f202,plain,
    err != false1,
    inference(definition_unfolding,[],[f141,f113]) ).

fof(f141,plain,
    false != err,
    inference(cnf_transformation,[],[f2]) ).

fof(f3398,plain,
    ( spl17_77
    | ~ spl17_38
    | ~ spl17_46 ),
    inference(avatar_split_clause,[],[f3397,f1481,f1426,f2965]) ).

fof(f1481,plain,
    ( spl17_46
  <=> lazy_impl(true,sK6) = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).

fof(f3397,plain,
    ( bool(sK6)
    | ~ spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f1428,f1483]) ).

fof(f1483,plain,
    ( lazy_impl(true,sK6) = sK6
    | ~ spl17_46 ),
    inference(avatar_component_clause,[],[f1481]) ).

fof(f3299,plain,
    ( spl17_8
    | ~ spl17_32
    | ~ spl17_9 ),
    inference(avatar_split_clause,[],[f637,f388,f1020,f365]) ).

fof(f637,plain,
    ( ! [X0] :
        ( ~ d(false1)
        | d(lazy_impl(prop(X0),X0)) )
    | ~ spl17_9 ),
    inference(resolution,[],[f569,f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( forallprefers(X1,X0)
      | ~ d(X0)
      | d(X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f3251,plain,
    ( ~ spl17_20
    | spl17_38
    | ~ spl17_40
    | ~ spl17_46
    | ~ spl17_56 ),
    inference(avatar_contradiction_clause,[],[f3250]) ).

fof(f3250,plain,
    ( $false
    | ~ spl17_20
    | spl17_38
    | ~ spl17_40
    | ~ spl17_46
    | ~ spl17_56 ),
    inference(trivial_inequality_removal,[],[f3247]) ).

fof(f3247,plain,
    ( sK6 != sK6
    | ~ spl17_20
    | spl17_38
    | ~ spl17_40
    | ~ spl17_46
    | ~ spl17_56 ),
    inference(superposition,[],[f1690,f3040]) ).

fof(f3040,plain,
    ( sF15 = sK6
    | ~ spl17_20
    | spl17_38
    | ~ spl17_46
    | ~ spl17_56 ),
    inference(forward_demodulation,[],[f3039,f1731]) ).

fof(f1731,plain,
    ( not1(sK6) = sK6
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f1730,f1483]) ).

fof(f1730,plain,
    ( not1(sK6) = lazy_impl(true,sK6)
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f1696,f1483]) ).

fof(f1696,plain,
    ( not1(lazy_impl(true,sK6)) = lazy_impl(true,lazy_impl(true,sK6))
    | spl17_38 ),
    inference(resolution,[],[f1427,f200]) ).

fof(f1427,plain,
    ( ~ bool(lazy_impl(true,sK6))
    | spl17_38 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f3039,plain,
    ( sF15 = not1(sK6)
    | ~ spl17_20
    | spl17_38
    | ~ spl17_46
    | ~ spl17_56 ),
    inference(forward_demodulation,[],[f1985,f2989]) ).

fof(f2989,plain,
    ( sF14 = sK6
    | ~ spl17_20
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f719,f1971]) ).

fof(f1971,plain,
    ( sF13 = sK6
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f1970,f1716]) ).

fof(f1716,plain,
    ( ! [X4] : impl(sK6,X4) = sK6
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f1715,f1483]) ).

fof(f1715,plain,
    ( ! [X4] : impl(sK6,X4) = lazy_impl(true,sK6)
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f1700,f1483]) ).

fof(f1700,plain,
    ( ! [X4] : impl(lazy_impl(true,sK6),X4) = lazy_impl(true,lazy_impl(true,sK6))
    | spl17_38 ),
    inference(resolution,[],[f1427,f212]) ).

fof(f1970,plain,
    ( sF13 = impl(sK6,sF9)
    | spl17_38
    | ~ spl17_46 ),
    inference(superposition,[],[f232,f1967]) ).

fof(f1967,plain,
    ( sF12 = sK6
    | spl17_38
    | ~ spl17_46 ),
    inference(superposition,[],[f1716,f231]) ).

fof(f1690,plain,
    ( sF15 != sK6
    | ~ spl17_40 ),
    inference(superposition,[],[f236,f1450]) ).

fof(f3034,plain,
    ( spl17_33
    | ~ spl17_20
    | spl17_38
    | ~ spl17_46
    | ~ spl17_57 ),
    inference(avatar_split_clause,[],[f3033,f1987,f1481,f1426,f717,f1383]) ).

fof(f3033,plain,
    ( true = prop(sK6)
    | ~ spl17_20
    | spl17_38
    | ~ spl17_46
    | ~ spl17_57 ),
    inference(forward_demodulation,[],[f1989,f2989]) ).

fof(f1989,plain,
    ( true = prop(sF14)
    | ~ spl17_57 ),
    inference(avatar_component_clause,[],[f1987]) ).

fof(f2985,plain,
    ( spl17_35
    | spl17_36
    | ~ spl17_77 ),
    inference(avatar_split_clause,[],[f2979,f2965,f1413,f1409]) ).

fof(f2979,plain,
    ( false1 = sK6
    | true = sK6
    | ~ spl17_77 ),
    inference(resolution,[],[f2967,f217]) ).

fof(f2967,plain,
    ( bool(sK6)
    | ~ spl17_77 ),
    inference(avatar_component_clause,[],[f2965]) ).

fof(f2968,plain,
    ( ~ spl17_11
    | ~ spl17_76
    | ~ spl17_64
    | spl17_77
    | ~ spl17_3
    | ~ spl17_5
    | spl17_38
    | ~ spl17_46 ),
    inference(avatar_split_clause,[],[f2957,f1481,f1426,f329,f258,f2965,f2747,f2960,f401]) ).

fof(f2960,plain,
    ( spl17_76
  <=> d(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_76])]) ).

fof(f2957,plain,
    ( bool(sK6)
    | ~ bool(true)
    | ~ d(sK6)
    | ~ d(true)
    | ~ spl17_3
    | ~ spl17_5
    | spl17_38
    | ~ spl17_46 ),
    inference(resolution,[],[f2937,f127]) ).

fof(f2937,plain,
    ( ~ forallprefers(sK6,true)
    | ~ spl17_3
    | ~ spl17_5
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f2932,f1483]) ).

fof(f2932,plain,
    ( ~ forallprefers(lazy_impl(true,sK6),true)
    | ~ spl17_3
    | ~ spl17_5
    | spl17_38
    | ~ spl17_46 ),
    inference(superposition,[],[f2840,f331]) ).

fof(f2840,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),sK6),true)
    | ~ spl17_3
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f2839,f1716]) ).

fof(f2839,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(sK6,X0)),true)
    | ~ spl17_3
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f2838,f1716]) ).

fof(f2838,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),true)
    | ~ spl17_3
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f2837,f221]) ).

fof(f2837,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),lazy_impl(false1,sK6))
    | ~ spl17_3
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f2836,f259]) ).

fof(f2836,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),lazy_impl(sF10,sK6))
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f2422,f229]) ).

fof(f2422,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),lazy_impl(prop(sF9),sK6))
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f2421,f1716]) ).

fof(f2421,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),impl(impl(sK6,impl(sK5,X0)),X0)),lazy_impl(prop(sF9),impl(sK6,sF9)))
    | spl17_38
    | ~ spl17_46 ),
    inference(forward_demodulation,[],[f2382,f1716]) ).

fof(f2963,plain,
    ( spl17_76
    | ~ spl17_11
    | ~ spl17_3
    | ~ spl17_5
    | spl17_38
    | ~ spl17_46 ),
    inference(avatar_split_clause,[],[f2958,f1481,f1426,f329,f258,f401,f2960]) ).

fof(f2958,plain,
    ( ~ d(true)
    | d(sK6)
    | ~ spl17_3
    | ~ spl17_5
    | spl17_38
    | ~ spl17_46 ),
    inference(resolution,[],[f2937,f128]) ).

fof(f2917,plain,
    ( spl17_71
    | spl17_72
    | ~ spl17_68 ),
    inference(avatar_split_clause,[],[f2896,f2793,f2913,f2906]) ).

fof(f2896,plain,
    ( true = impl(false1,sK5)
    | not1(sK5) = sK5
    | ~ spl17_68 ),
    inference(superposition,[],[f2867,f304]) ).

fof(f2867,plain,
    ( lazy_impl(true,sK5) = sK5
    | ~ spl17_68 ),
    inference(resolution,[],[f2794,f189]) ).

fof(f2794,plain,
    ( d(sK5)
    | ~ spl17_68 ),
    inference(avatar_component_clause,[],[f2793]) ).

fof(f2911,plain,
    ( spl17_71
    | spl17_37
    | ~ spl17_50
    | ~ spl17_68 ),
    inference(avatar_split_clause,[],[f2910,f2793,f1606,f1417,f2906]) ).

fof(f2910,plain,
    ( true = false1
    | not1(sK5) = sK5
    | ~ spl17_50
    | ~ spl17_68 ),
    inference(forward_demodulation,[],[f2902,f1608]) ).

fof(f2902,plain,
    ( true = prop(sK5)
    | not1(sK5) = sK5
    | ~ spl17_68 ),
    inference(superposition,[],[f302,f2867]) ).

fof(f2858,plain,
    ( spl17_48
    | spl17_67 ),
    inference(avatar_split_clause,[],[f2848,f2789,f1597]) ).

fof(f2848,plain,
    ( lazy_impl(true,sK5) = not1(sK5)
    | spl17_67 ),
    inference(resolution,[],[f2790,f200]) ).

fof(f2822,plain,
    ( spl17_69
    | spl17_70
    | ~ spl17_67 ),
    inference(avatar_split_clause,[],[f2807,f2789,f2819,f2815]) ).

fof(f2807,plain,
    ( true = sK5
    | false1 = sK5
    | ~ spl17_67 ),
    inference(resolution,[],[f2791,f217]) ).

fof(f2771,plain,
    spl17_64,
    inference(avatar_contradiction_clause,[],[f2759]) ).

fof(f2759,plain,
    ( $false
    | spl17_64 ),
    inference(resolution,[],[f2749,f227]) ).

fof(f2749,plain,
    ( ~ bool(true)
    | spl17_64 ),
    inference(avatar_component_clause,[],[f2747]) ).

fof(f2163,plain,
    ( spl17_45
    | ~ spl17_23
    | spl17_38
    | ~ spl17_46 ),
    inference(avatar_split_clause,[],[f2149,f1481,f1426,f733,f1476]) ).

fof(f2149,plain,
    ( err = lazy_impl(true,sK6)
    | ~ spl17_23
    | spl17_38
    | ~ spl17_46 ),
    inference(superposition,[],[f735,f1971]) ).

fof(f1990,plain,
    ( spl17_56
    | spl17_57 ),
    inference(avatar_split_clause,[],[f892,f1987,f1983]) ).

fof(f892,plain,
    ( true = prop(sF14)
    | sF15 = not1(sF14) ),
    inference(superposition,[],[f302,f234]) ).

fof(f1915,plain,
    ~ spl17_37,
    inference(avatar_contradiction_clause,[],[f1914]) ).

fof(f1914,plain,
    ( $false
    | ~ spl17_37 ),
    inference(trivial_inequality_removal,[],[f1884]) ).

fof(f1884,plain,
    ( true != true
    | ~ spl17_37 ),
    inference(superposition,[],[f201,f1419]) ).

fof(f1419,plain,
    ( true = false1
    | ~ spl17_37 ),
    inference(avatar_component_clause,[],[f1417]) ).

fof(f201,plain,
    true != false1,
    inference(definition_unfolding,[],[f143,f113]) ).

fof(f143,plain,
    false != true,
    inference(cnf_transformation,[],[f2]) ).

fof(f1687,plain,
    ( spl17_22
    | ~ spl17_18 ),
    inference(avatar_split_clause,[],[f1686,f708,f726]) ).

fof(f726,plain,
    ( spl17_22
  <=> err = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).

fof(f1686,plain,
    ( err = sF15
    | ~ spl17_18 ),
    inference(forward_demodulation,[],[f820,f284]) ).

fof(f820,plain,
    ( lazy_impl(true,err) = sF15
    | ~ spl17_18 ),
    inference(superposition,[],[f234,f710]) ).

fof(f710,plain,
    ( err = sF14
    | ~ spl17_18 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f1665,plain,
    ( ~ spl17_22
    | ~ spl17_41 ),
    inference(avatar_split_clause,[],[f1664,f1452,f726]) ).

fof(f1664,plain,
    ( err != sF15
    | ~ spl17_41 ),
    inference(superposition,[],[f236,f1454]) ).

fof(f1656,plain,
    ( ~ spl17_30
    | ~ spl17_36
    | spl17_38 ),
    inference(avatar_split_clause,[],[f1655,f1426,f1413,f1013]) ).

fof(f1655,plain,
    ( ~ bool(false1)
    | ~ spl17_36
    | spl17_38 ),
    inference(forward_demodulation,[],[f1654,f285]) ).

fof(f1654,plain,
    ( ~ bool(lazy_impl(true,false1))
    | ~ spl17_36
    | spl17_38 ),
    inference(forward_demodulation,[],[f1427,f1415]) ).

fof(f1611,plain,
    ( spl17_49
    | spl17_50
    | ~ spl17_35 ),
    inference(avatar_split_clause,[],[f1594,f1409,f1606,f1601]) ).

fof(f1594,plain,
    ( false1 = prop(sK5)
    | sK5 = sF16
    | ~ spl17_35 ),
    inference(superposition,[],[f276,f1485]) ).

fof(f1485,plain,
    ( and1(true,sK5) = sF16
    | ~ spl17_35 ),
    inference(superposition,[],[f235,f1411]) ).

fof(f276,plain,
    ! [X0] :
      ( and1(true,X0) = X0
      | prop(X0) = false1 ),
    inference(resolution,[],[f116,f215]) ).

fof(f1484,plain,
    ( spl17_41
    | spl17_46
    | ~ spl17_34 ),
    inference(avatar_split_clause,[],[f1441,f1387,f1481,f1452]) ).

fof(f1441,plain,
    ( lazy_impl(true,sK6) = sK6
    | err = sF16
    | ~ spl17_34 ),
    inference(superposition,[],[f1389,f190]) ).

fof(f1474,plain,
    ( spl17_40
    | spl17_41
    | ~ spl17_34 ),
    inference(avatar_split_clause,[],[f1445,f1387,f1452,f1448]) ).

fof(f1445,plain,
    ( err = sF16
    | sF16 = sK6
    | ~ spl17_34 ),
    inference(superposition,[],[f190,f1389]) ).

fof(f1473,plain,
    ( spl17_43
    | spl17_33
    | ~ spl17_34 ),
    inference(avatar_split_clause,[],[f1444,f1387,f1383,f1461]) ).

fof(f1444,plain,
    ( true = prop(sK6)
    | not1(sK6) = sF16
    | ~ spl17_34 ),
    inference(superposition,[],[f302,f1389]) ).

fof(f1052,plain,
    spl17_32,
    inference(avatar_contradiction_clause,[],[f1050]) ).

fof(f1050,plain,
    ( $false
    | spl17_32 ),
    inference(resolution,[],[f1022,f195]) ).

fof(f1022,plain,
    ( ~ d(false1)
    | spl17_32 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1037,plain,
    spl17_30,
    inference(avatar_contradiction_clause,[],[f1029]) ).

fof(f1029,plain,
    ( $false
    | spl17_30 ),
    inference(resolution,[],[f1015,f226]) ).

fof(f1015,plain,
    ( ~ bool(false1)
    | spl17_30 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f1028,plain,
    ( ~ spl17_30
    | spl17_31
    | ~ spl17_32
    | ~ spl17_9 ),
    inference(avatar_split_clause,[],[f1002,f388,f1020,f1017,f1013]) ).

fof(f1002,plain,
    ( ! [X1] :
        ( ~ d(false1)
        | bool(lazy_impl(prop(X1),X1))
        | ~ d(lazy_impl(prop(X1),X1))
        | ~ bool(false1) )
    | ~ spl17_9 ),
    inference(resolution,[],[f127,f569]) ).

fof(f971,plain,
    ( spl17_28
    | spl17_29
    | ~ spl17_26 ),
    inference(avatar_split_clause,[],[f962,f907,f968,f964]) ).

fof(f962,plain,
    ( true = err
    | err = false1
    | ~ spl17_26 ),
    inference(resolution,[],[f948,f217]) ).

fof(f948,plain,
    ( bool(err)
    | ~ spl17_26 ),
    inference(trivial_inequality_removal,[],[f947]) ).

fof(f947,plain,
    ( bool(err)
    | true != true
    | ~ spl17_26 ),
    inference(superposition,[],[f166,f909]) ).

fof(f909,plain,
    ( true = prop(err)
    | ~ spl17_26 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f923,plain,
    ( spl17_26
    | spl17_27 ),
    inference(avatar_split_clause,[],[f896,f911,f907]) ).

fof(f896,plain,
    ( err = not1(err)
    | true = prop(err) ),
    inference(superposition,[],[f284,f302]) ).

fof(f826,plain,
    ( ~ spl17_3
    | ~ spl17_22 ),
    inference(avatar_contradiction_clause,[],[f825]) ).

fof(f825,plain,
    ( $false
    | ~ spl17_3
    | ~ spl17_22 ),
    inference(trivial_inequality_removal,[],[f823]) ).

fof(f823,plain,
    ( true != true
    | ~ spl17_3
    | ~ spl17_22 ),
    inference(superposition,[],[f142,f817]) ).

fof(f817,plain,
    ( true = err
    | ~ spl17_3
    | ~ spl17_22 ),
    inference(forward_demodulation,[],[f816,f283]) ).

fof(f816,plain,
    ( err = lazy_impl(true,true)
    | ~ spl17_3
    | ~ spl17_22 ),
    inference(forward_demodulation,[],[f815,f728]) ).

fof(f728,plain,
    ( err = sF15
    | ~ spl17_22 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f815,plain,
    ( lazy_impl(true,true) = sF15
    | ~ spl17_3 ),
    inference(superposition,[],[f234,f813]) ).

fof(f813,plain,
    ( true = sF14
    | ~ spl17_3 ),
    inference(forward_demodulation,[],[f812,f221]) ).

fof(f812,plain,
    ( sF14 = lazy_impl(false1,sF13)
    | ~ spl17_3 ),
    inference(superposition,[],[f233,f259]) ).

fof(f756,plain,
    ( spl17_24
    | spl17_21 ),
    inference(avatar_split_clause,[],[f704,f722,f753]) ).

fof(f704,plain,
    ( sF15 = sF14
    | err = lazy_impl(true,sF14) ),
    inference(superposition,[],[f234,f190]) ).

fof(f747,plain,
    ( spl17_22
    | spl17_21 ),
    inference(avatar_split_clause,[],[f694,f722,f726]) ).

fof(f694,plain,
    ( sF15 = sF14
    | err = sF15 ),
    inference(superposition,[],[f190,f234]) ).

fof(f736,plain,
    ( spl17_20
    | spl17_23
    | ~ spl17_2 ),
    inference(avatar_split_clause,[],[f703,f249,f733,f717]) ).

fof(f703,plain,
    ( err = lazy_impl(true,sF13)
    | sF13 = sF14
    | ~ spl17_2 ),
    inference(superposition,[],[f555,f190]) ).

fof(f555,plain,
    ( lazy_impl(true,sF13) = sF14
    | ~ spl17_2 ),
    inference(superposition,[],[f233,f250]) ).

fof(f515,plain,
    ( spl17_3
    | spl17_2 ),
    inference(avatar_split_clause,[],[f313,f249,f258]) ).

fof(f313,plain,
    ( true = sF10
    | false1 = sF10 ),
    inference(superposition,[],[f253,f229]) ).

fof(f504,plain,
    ( spl17_3
    | spl17_13 ),
    inference(avatar_split_clause,[],[f319,f501,f258]) ).

fof(f319,plain,
    ( true = prop(sF9)
    | false1 = sF10 ),
    inference(superposition,[],[f229,f253]) ).

fof(f499,plain,
    ( spl17_6
    | ~ spl17_10 ),
    inference(avatar_split_clause,[],[f498,f392,f352]) ).

fof(f392,plain,
    ( spl17_10
  <=> true = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).

fof(f498,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true)
    | ~ spl17_10 ),
    inference(forward_demodulation,[],[f487,f283]) ).

fof(f487,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(true,true))
    | ~ spl17_10 ),
    inference(forward_demodulation,[],[f485,f238]) ).

fof(f485,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(prop(true),true))
    | ~ spl17_10 ),
    inference(superposition,[],[f198,f394]) ).

fof(f394,plain,
    ( true = sK4
    | ~ spl17_10 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f446,plain,
    ~ spl17_6,
    inference(avatar_contradiction_clause,[],[f444]) ).

fof(f444,plain,
    ( $false
    | ~ spl17_6 ),
    inference(resolution,[],[f440,f223]) ).

fof(f440,plain,
    ( ~ forallprefers(false1,true)
    | ~ spl17_6 ),
    inference(forward_demodulation,[],[f434,f285]) ).

fof(f434,plain,
    ( ~ forallprefers(lazy_impl(true,false1),true)
    | ~ spl17_6 ),
    inference(superposition,[],[f353,f237]) ).

fof(f353,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true)
    | ~ spl17_6 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f407,plain,
    spl17_11,
    inference(avatar_contradiction_clause,[],[f405]) ).

fof(f405,plain,
    ( $false
    | spl17_11 ),
    inference(resolution,[],[f403,f132]) ).

fof(f403,plain,
    ( ~ d(true)
    | spl17_11 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f395,plain,
    ( spl17_9
    | spl17_10
    | ~ spl17_5 ),
    inference(avatar_split_clause,[],[f386,f329,f392,f388]) ).

fof(f386,plain,
    ( true = sK4
    | false1 = sK4
    | ~ spl17_5 ),
    inference(resolution,[],[f377,f217]) ).

fof(f377,plain,
    ( bool(sK4)
    | ~ spl17_5 ),
    inference(trivial_inequality_removal,[],[f376]) ).

fof(f376,plain,
    ( true != true
    | bool(sK4)
    | ~ spl17_5 ),
    inference(superposition,[],[f166,f331]) ).

fof(f354,plain,
    ( spl17_6
    | spl17_5 ),
    inference(avatar_split_clause,[],[f350,f329,f352]) ).

fof(f350,plain,
    ! [X0] :
      ( true = prop(sK4)
      | ~ forallprefers(lazy_impl(prop(X0),X0),true) ),
    inference(forward_demodulation,[],[f349,f221]) ).

fof(f349,plain,
    ! [X0] :
      ( ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(false1,sK4))
      | true = prop(sK4) ),
    inference(superposition,[],[f198,f253]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW096+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % 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 : n018.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 20:23:10 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.46  % (10742)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.46  % (10742)Instruction limit reached!
% 0.20/0.46  % (10742)------------------------------
% 0.20/0.46  % (10742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46  % (10759)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.46  % (10742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46  % (10742)Termination reason: Unknown
% 0.20/0.46  % (10742)Termination phase: Saturation
% 0.20/0.46  
% 0.20/0.46  % (10742)Memory used [KB]: 5500
% 0.20/0.46  % (10742)Time elapsed: 0.054 s
% 0.20/0.46  % (10742)Instructions burned: 7 (million)
% 0.20/0.46  % (10742)------------------------------
% 0.20/0.46  % (10742)------------------------------
% 0.20/0.51  % (10744)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 (2999ds/51Mi)
% 1.26/0.52  % (10740)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 (2999ds/48Mi)
% 1.26/0.53  % (10735)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 (2999ds/191324Mi)
% 1.26/0.53  % (10751)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 (2999ds/99Mi)
% 1.26/0.53  % (10737)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 (2999ds/37Mi)
% 1.26/0.53  % (10738)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.26/0.53  % (10739)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.26/0.53  % (10756)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.53  % (10746)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.53  % (10747)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.53  % (10745)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.54  % (10761)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 (2999ds/68Mi)
% 1.42/0.54  % (10748)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54  % (10757)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 (2999ds/498Mi)
% 1.42/0.54  % (10752)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.54  % (10736)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.54  % (10764)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 (2999ds/355Mi)
% 1.42/0.54  % (10758)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 (2999ds/467Mi)
% 1.42/0.54  % (10763)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.55  % (10741)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.55  % (10749)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 (2999ds/68Mi)
% 1.42/0.55  % (10743)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.55  % (10743)Instruction limit reached!
% 1.42/0.55  % (10743)------------------------------
% 1.42/0.55  % (10743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (10743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (10743)Termination reason: Unknown
% 1.42/0.55  % (10743)Termination phase: Preprocessing 3
% 1.42/0.55  
% 1.42/0.55  % (10743)Memory used [KB]: 895
% 1.42/0.55  % (10743)Time elapsed: 0.002 s
% 1.42/0.55  % (10743)Instructions burned: 2 (million)
% 1.42/0.55  % (10743)------------------------------
% 1.42/0.55  % (10743)------------------------------
% 1.42/0.55  % (10755)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 (2999ds/176Mi)
% 1.42/0.55  % (10750)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 (2999ds/75Mi)
% 1.42/0.55  % (10762)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 (2999ds/177Mi)
% 1.42/0.55  TRYING [3]
% 1.42/0.55  % (10760)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.42/0.56  % (10754)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 (2999ds/100Mi)
% 1.42/0.56  % (10753)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.57  TRYING [3]
% 1.42/0.57  % (10736)Refutation not found, incomplete strategy% (10736)------------------------------
% 1.42/0.57  % (10736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (10736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (10736)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.57  
% 1.42/0.57  % (10736)Memory used [KB]: 5756
% 1.42/0.57  % (10736)Time elapsed: 0.167 s
% 1.42/0.57  % (10736)Instructions burned: 14 (million)
% 1.42/0.57  % (10736)------------------------------
% 1.42/0.57  % (10736)------------------------------
% 1.42/0.57  TRYING [3]
% 1.42/0.59  % (10765)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 (2998ds/388Mi)
% 1.42/0.60  % (10737)Instruction limit reached!
% 1.42/0.60  % (10737)------------------------------
% 1.42/0.60  % (10737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.60  % (10737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.60  % (10737)Termination reason: Unknown
% 1.42/0.60  % (10737)Termination phase: Saturation
% 1.42/0.60  
% 1.42/0.60  % (10737)Memory used [KB]: 1535
% 1.42/0.60  % (10737)Time elapsed: 0.184 s
% 1.42/0.60  % (10737)Instructions burned: 38 (million)
% 1.42/0.60  % (10737)------------------------------
% 1.42/0.60  % (10737)------------------------------
% 1.42/0.61  TRYING [4]
% 1.42/0.61  % (10744)Instruction limit reached!
% 1.42/0.61  % (10744)------------------------------
% 1.42/0.61  % (10744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.61  % (10744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.61  % (10744)Termination reason: Unknown
% 1.42/0.61  % (10744)Termination phase: Saturation
% 1.42/0.61  
% 1.42/0.61  % (10744)Memory used [KB]: 1791
% 1.42/0.61  % (10744)Time elapsed: 0.196 s
% 1.42/0.61  % (10744)Instructions burned: 51 (million)
% 1.42/0.61  % (10744)------------------------------
% 1.42/0.61  % (10744)------------------------------
% 1.42/0.62  % (10745)Instruction limit reached!
% 1.42/0.62  % (10745)------------------------------
% 1.42/0.62  % (10745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.62  % (10745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.62  % (10745)Termination reason: Unknown
% 1.42/0.62  % (10745)Termination phase: Saturation
% 1.42/0.62  
% 1.42/0.62  % (10745)Memory used [KB]: 6140
% 1.42/0.62  % (10745)Time elapsed: 0.192 s
% 1.42/0.62  % (10745)Instructions burned: 52 (million)
% 1.42/0.62  % (10745)------------------------------
% 1.42/0.62  % (10745)------------------------------
% 1.42/0.62  % (10752)Instruction limit reached!
% 1.42/0.62  % (10752)------------------------------
% 1.42/0.62  % (10752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.62  % (10752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.62  % (10752)Termination reason: Unknown
% 1.42/0.62  % (10752)Termination phase: Finite model building constraint generation
% 1.42/0.62  
% 1.42/0.62  % (10752)Memory used [KB]: 8571
% 1.42/0.62  % (10752)Time elapsed: 0.176 s
% 1.42/0.62  % (10752)Instructions burned: 61 (million)
% 1.42/0.62  % (10752)------------------------------
% 1.42/0.62  % (10752)------------------------------
% 2.15/0.63  % (10741)Instruction limit reached!
% 2.15/0.63  % (10741)------------------------------
% 2.15/0.63  % (10741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63  % (10741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (10741)Termination reason: Unknown
% 2.15/0.63  % (10741)Termination phase: Finite model building SAT solving
% 2.15/0.63  
% 2.15/0.63  % (10741)Memory used [KB]: 8315
% 2.15/0.63  % (10741)Time elapsed: 0.163 s
% 2.15/0.63  % (10741)Instructions burned: 51 (million)
% 2.15/0.63  % (10741)------------------------------
% 2.15/0.63  % (10741)------------------------------
% 2.15/0.63  % (10740)Instruction limit reached!
% 2.15/0.63  % (10740)------------------------------
% 2.15/0.63  % (10740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63  % (10740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (10740)Termination reason: Unknown
% 2.15/0.63  % (10740)Termination phase: Saturation
% 2.15/0.63  
% 2.15/0.63  % (10740)Memory used [KB]: 6140
% 2.15/0.63  % (10740)Time elapsed: 0.226 s
% 2.15/0.63  % (10740)Instructions burned: 48 (million)
% 2.15/0.63  % (10740)------------------------------
% 2.15/0.63  % (10740)------------------------------
% 2.15/0.63  % (10739)Instruction limit reached!
% 2.15/0.63  % (10739)------------------------------
% 2.15/0.63  % (10739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63  % (10739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (10739)Termination reason: Unknown
% 2.15/0.63  % (10739)Termination phase: Saturation
% 2.15/0.63  
% 2.15/0.63  % (10739)Memory used [KB]: 6012
% 2.15/0.63  % (10739)Time elapsed: 0.212 s
% 2.15/0.63  % (10739)Instructions burned: 51 (million)
% 2.15/0.63  % (10739)------------------------------
% 2.15/0.63  % (10739)------------------------------
% 2.15/0.64  % (10738)Instruction limit reached!
% 2.15/0.64  % (10738)------------------------------
% 2.15/0.64  % (10738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64  % (10738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64  % (10738)Termination reason: Unknown
% 2.15/0.64  % (10738)Termination phase: Saturation
% 2.15/0.64  
% 2.15/0.64  % (10738)Memory used [KB]: 6140
% 2.15/0.64  % (10738)Time elapsed: 0.237 s
% 2.15/0.64  % (10738)Instructions burned: 52 (million)
% 2.15/0.64  % (10738)------------------------------
% 2.15/0.64  % (10738)------------------------------
% 2.15/0.66  % (10749)Instruction limit reached!
% 2.15/0.66  % (10749)------------------------------
% 2.15/0.66  % (10749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.66  % (10749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66  % (10749)Termination reason: Unknown
% 2.15/0.66  % (10749)Termination phase: Saturation
% 2.15/0.66  
% 2.15/0.66  % (10749)Memory used [KB]: 6780
% 2.15/0.66  % (10749)Time elapsed: 0.038 s
% 2.15/0.66  % (10749)Instructions burned: 68 (million)
% 2.15/0.66  % (10749)------------------------------
% 2.15/0.66  % (10749)------------------------------
% 2.15/0.67  % (10761)Instruction limit reached!
% 2.15/0.67  % (10761)------------------------------
% 2.15/0.67  % (10761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67  % (10761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67  % (10761)Termination reason: Unknown
% 2.15/0.67  % (10761)Termination phase: Saturation
% 2.15/0.67  
% 2.15/0.67  % (10761)Memory used [KB]: 6780
% 2.15/0.67  % (10761)Time elapsed: 0.038 s
% 2.15/0.67  % (10761)Instructions burned: 69 (million)
% 2.15/0.67  % (10761)------------------------------
% 2.15/0.67  % (10761)------------------------------
% 2.15/0.68  % (10766)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 (2998ds/211Mi)
% 2.15/0.68  % (10750)Instruction limit reached!
% 2.15/0.68  % (10750)------------------------------
% 2.15/0.68  % (10750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.68  % (10750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.68  % (10750)Termination reason: Unknown
% 2.15/0.68  % (10750)Termination phase: Saturation
% 2.15/0.68  
% 2.15/0.68  % (10750)Memory used [KB]: 1918
% 2.15/0.68  % (10750)Time elapsed: 0.282 s
% 2.15/0.68  % (10750)Instructions burned: 77 (million)
% 2.15/0.68  % (10750)------------------------------
% 2.15/0.68  % (10750)------------------------------
% 2.57/0.70  % (10746)Instruction limit reached!
% 2.57/0.70  % (10746)------------------------------
% 2.57/0.70  % (10746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.70  % (10746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.70  % (10746)Termination reason: Unknown
% 2.57/0.70  % (10746)Termination phase: Saturation
% 2.57/0.70  
% 2.57/0.70  % (10746)Memory used [KB]: 7036
% 2.57/0.70  % (10746)Time elapsed: 0.276 s
% 2.57/0.70  % (10746)Instructions burned: 100 (million)
% 2.57/0.70  % (10746)------------------------------
% 2.57/0.70  % (10746)------------------------------
% 2.57/0.70  % (10747)Instruction limit reached!
% 2.57/0.70  % (10747)------------------------------
% 2.57/0.70  % (10747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.70  % (10747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.70  % (10747)Termination reason: Unknown
% 2.57/0.70  % (10747)Termination phase: Saturation
% 2.57/0.70  
% 2.57/0.70  % (10747)Memory used [KB]: 6780
% 2.57/0.70  % (10747)Time elapsed: 0.298 s
% 2.57/0.70  % (10747)Instructions burned: 102 (million)
% 2.57/0.70  % (10747)------------------------------
% 2.57/0.70  % (10747)------------------------------
% 2.57/0.70  % (10748)Instruction limit reached!
% 2.57/0.70  % (10748)------------------------------
% 2.57/0.70  % (10748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.70  % (10748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.70  % (10748)Termination reason: Unknown
% 2.57/0.70  % (10748)Termination phase: Saturation
% 2.57/0.70  
% 2.57/0.70  % (10748)Memory used [KB]: 6908
% 2.57/0.70  % (10748)Time elapsed: 0.280 s
% 2.57/0.70  % (10748)Instructions burned: 100 (million)
% 2.57/0.70  % (10748)------------------------------
% 2.57/0.70  % (10748)------------------------------
% 2.57/0.72  % (10751)Instruction limit reached!
% 2.57/0.72  % (10751)------------------------------
% 2.57/0.72  % (10751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.72  % (10751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.72  % (10751)Termination reason: Unknown
% 2.57/0.72  % (10751)Termination phase: Saturation
% 2.57/0.72  
% 2.57/0.72  % (10751)Memory used [KB]: 6652
% 2.57/0.72  % (10751)Time elapsed: 0.293 s
% 2.57/0.72  % (10751)Instructions burned: 101 (million)
% 2.57/0.72  % (10751)------------------------------
% 2.57/0.72  % (10751)------------------------------
% 2.57/0.72  % (10754)Instruction limit reached!
% 2.57/0.72  % (10754)------------------------------
% 2.57/0.72  % (10754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.72  % (10754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.72  % (10754)Termination reason: Unknown
% 2.57/0.72  % (10754)Termination phase: Saturation
% 2.57/0.72  
% 2.57/0.72  % (10754)Memory used [KB]: 2046
% 2.57/0.72  % (10754)Time elapsed: 0.303 s
% 2.57/0.72  % (10754)Instructions burned: 102 (million)
% 2.57/0.72  % (10754)------------------------------
% 2.57/0.72  % (10754)------------------------------
% 2.57/0.73  % (10753)Instruction limit reached!
% 2.57/0.73  % (10753)------------------------------
% 2.57/0.73  % (10753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.73  % (10753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.73  % (10753)Termination reason: Unknown
% 2.57/0.73  % (10753)Termination phase: Saturation
% 2.57/0.73  
% 2.57/0.73  % (10753)Memory used [KB]: 7164
% 2.57/0.73  % (10753)Time elapsed: 0.330 s
% 2.57/0.73  % (10753)Instructions burned: 101 (million)
% 2.57/0.73  % (10753)------------------------------
% 2.57/0.73  % (10753)------------------------------
% 2.57/0.73  % (10767)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)
% 2.57/0.73  % (10768)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.57/0.75  % (10769)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.57/0.75  % (10770)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 (2997ds/747Mi)
% 2.57/0.76  % (10771)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 (2997ds/655Mi)
% 2.89/0.76  % (10772)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 (2997ds/68Mi)
% 2.90/0.77  % (10773)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 (2997ds/940Mi)
% 2.90/0.77  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.90/0.77  % (10774)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 (2997ds/981Mi)
% 2.90/0.78  % (10756)Instruction limit reached!
% 2.90/0.78  % (10756)------------------------------
% 2.90/0.78  % (10756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.78  % (10756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.78  % (10756)Termination reason: Unknown
% 2.90/0.78  % (10756)Termination phase: Saturation
% 2.90/0.78  
% 2.90/0.78  % (10756)Memory used [KB]: 7291
% 2.90/0.78  % (10756)Time elapsed: 0.345 s
% 2.90/0.78  % (10756)Instructions burned: 138 (million)
% 2.90/0.78  % (10756)------------------------------
% 2.90/0.78  % (10756)------------------------------
% 2.90/0.78  % (10775)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)
% 2.90/0.80  % (10776)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 (2997ds/2016Mi)
% 2.99/0.80  % (10777)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.99/0.82  % (10778)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 (2996ds/4958Mi)
% 2.99/0.83  % (10755)Instruction limit reached!
% 2.99/0.83  % (10755)------------------------------
% 2.99/0.83  % (10755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.83  % (10755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.83  % (10755)Termination reason: Unknown
% 2.99/0.83  % (10755)Termination phase: Saturation
% 2.99/0.83  
% 2.99/0.83  % (10755)Memory used [KB]: 6396
% 2.99/0.83  % (10755)Time elapsed: 0.389 s
% 2.99/0.83  % (10755)Instructions burned: 177 (million)
% 2.99/0.83  % (10755)------------------------------
% 2.99/0.83  % (10755)------------------------------
% 3.12/0.84  % (10781)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 (2996ds/4931Mi)
% 3.12/0.84  % (10779)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.12/0.84  % (10780)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.12/0.85  % (10782)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)
% 3.12/0.86  % (10783)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 (2996ds/1824Mi)
% 3.12/0.87  % (10784)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 (2996ds/2134Mi)
% 3.12/0.88  TRYING [5]
% 3.12/0.88  % (10762)Instruction limit reached!
% 3.12/0.88  % (10762)------------------------------
% 3.12/0.88  % (10762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.88  % (10762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.88  % (10762)Termination reason: Unknown
% 3.12/0.89  % (10762)Termination phase: Saturation
% 3.12/0.89  
% 3.12/0.89  % (10762)Memory used [KB]: 2686
% 3.12/0.89  % (10762)Time elapsed: 0.477 s
% 3.12/0.89  % (10762)Instructions burned: 177 (million)
% 3.12/0.89  % (10762)------------------------------
% 3.12/0.89  % (10762)------------------------------
% 3.12/0.90  % (10772)Instruction limit reached!
% 3.12/0.90  % (10772)------------------------------
% 3.12/0.90  % (10772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.90  % (10772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.90  % (10772)Termination reason: Unknown
% 3.12/0.90  % (10772)Termination phase: Saturation
% 3.12/0.90  
% 3.12/0.90  % (10772)Memory used [KB]: 6908
% 3.12/0.90  % (10772)Time elapsed: 0.038 s
% 3.12/0.90  % (10772)Instructions burned: 69 (million)
% 3.12/0.90  % (10772)------------------------------
% 3.12/0.90  % (10772)------------------------------
% 3.12/0.90  % (10767)Instruction limit reached!
% 3.12/0.90  % (10767)------------------------------
% 3.12/0.90  % (10767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.90  % (10767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.90  % (10767)Termination reason: Unknown
% 3.12/0.90  % (10767)Termination phase: Saturation
% 3.12/0.90  
% 3.12/0.90  % (10767)Memory used [KB]: 6268
% 3.12/0.90  % (10767)Time elapsed: 0.277 s
% 3.12/0.90  % (10767)Instructions burned: 90 (million)
% 3.12/0.90  % (10767)------------------------------
% 3.12/0.90  % (10767)------------------------------
% 3.51/0.93  % (10785)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.51/0.94  % (10775)Instruction limit reached!
% 3.51/0.94  % (10775)------------------------------
% 3.51/0.94  % (10775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.94  % (10775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.94  % (10775)Termination reason: Unknown
% 3.51/0.94  % (10775)Termination phase: Saturation
% 3.51/0.94  
% 3.51/0.94  % (10775)Memory used [KB]: 6268
% 3.51/0.94  % (10775)Time elapsed: 0.278 s
% 3.51/0.94  % (10775)Instructions burned: 91 (million)
% 3.51/0.94  % (10775)------------------------------
% 3.51/0.94  % (10775)------------------------------
% 3.51/0.96  % (10786)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.51/0.97  % (10782)Instruction limit reached!
% 3.51/0.97  % (10782)------------------------------
% 3.51/0.97  % (10782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.97  % (10782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.97  % (10782)Termination reason: Unknown
% 3.51/0.97  % (10782)Termination phase: Saturation
% 3.51/0.97  
% 3.51/0.97  % (10782)Memory used [KB]: 6780
% 3.51/0.97  % (10782)Time elapsed: 0.037 s
% 3.51/0.97  % (10782)Instructions burned: 69 (million)
% 3.51/0.97  % (10782)------------------------------
% 3.51/0.97  % (10782)------------------------------
% 3.81/1.02  % (10787)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 (2994ds/90Mi)
% 3.81/1.03  % (10788)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 (2994ds/2016Mi)
% 3.81/1.04  % (10789)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.81/1.06  % (10766)Instruction limit reached!
% 3.81/1.06  % (10766)------------------------------
% 3.81/1.06  % (10766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/1.06  % (10766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/1.06  % (10766)Termination reason: Unknown
% 3.81/1.06  % (10766)Termination phase: Saturation
% 3.81/1.06  
% 3.81/1.06  % (10766)Memory used [KB]: 3198
% 3.81/1.06  % (10766)Time elapsed: 0.456 s
% 3.81/1.06  % (10766)Instructions burned: 212 (million)
% 3.81/1.06  % (10766)------------------------------
% 3.81/1.06  % (10766)------------------------------
% 5.69/1.08  % (10790)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 (2994ds/9965Mi)
% 5.69/1.09  % (10765)Instruction limit reached!
% 5.69/1.09  % (10765)------------------------------
% 5.69/1.09  % (10765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.69/1.09  % (10765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.69/1.09  % (10765)Termination reason: Unknown
% 5.69/1.09  % (10765)Termination phase: Saturation
% 5.69/1.09  
% 5.69/1.09  % (10765)Memory used [KB]: 9338
% 5.69/1.09  % (10765)Time elapsed: 0.505 s
% 5.69/1.09  % (10765)Instructions burned: 388 (million)
% 5.69/1.09  % (10765)------------------------------
% 5.69/1.09  % (10765)------------------------------
% 5.69/1.10  % (10759)Instruction limit reached!
% 5.69/1.10  % (10759)------------------------------
% 5.69/1.10  % (10759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.69/1.10  % (10759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.69/1.10  % (10759)Termination reason: Unknown
% 5.69/1.10  % (10759)Termination phase: Saturation
% 5.69/1.10  
% 5.69/1.10  % (10759)Memory used [KB]: 8955
% 5.69/1.10  % (10759)Time elapsed: 0.684 s
% 5.69/1.10  % (10759)Instructions burned: 482 (million)
% 5.69/1.10  % (10759)------------------------------
% 5.69/1.10  % (10759)------------------------------
% 5.69/1.11  % (10791)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.99/1.12  % (10758)Instruction limit reached!
% 5.99/1.12  % (10758)------------------------------
% 5.99/1.12  % (10758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.99/1.12  % (10758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.99/1.12  % (10758)Termination reason: Unknown
% 5.99/1.12  % (10758)Termination phase: Saturation
% 5.99/1.12  
% 5.99/1.12  % (10758)Memory used [KB]: 7547
% 5.99/1.12  % (10758)Time elapsed: 0.719 s
% 5.99/1.12  % (10758)Instructions burned: 467 (million)
% 5.99/1.12  % (10758)------------------------------
% 5.99/1.12  % (10758)------------------------------
% 6.25/1.15  % (10764)Instruction limit reached!
% 6.25/1.15  % (10764)------------------------------
% 6.25/1.15  % (10764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.25/1.15  % (10764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.25/1.15  % (10764)Termination reason: Unknown
% 6.25/1.15  % (10764)Termination phase: Saturation
% 6.25/1.15  
% 6.25/1.15  % (10764)Memory used [KB]: 8059
% 6.25/1.15  % (10764)Time elapsed: 0.751 s
% 6.25/1.15  % (10764)Instructions burned: 355 (million)
% 6.25/1.15  % (10764)------------------------------
% 6.25/1.15  % (10764)------------------------------
% 6.25/1.19  % (10787)Instruction limit reached!
% 6.25/1.19  % (10787)------------------------------
% 6.25/1.19  % (10787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.25/1.19  % (10787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.25/1.19  % (10787)Termination reason: Unknown
% 6.25/1.19  % (10787)Termination phase: Saturation
% 6.25/1.19  
% 6.25/1.19  % (10787)Memory used [KB]: 6140
% 6.25/1.19  % (10787)Time elapsed: 0.281 s
% 6.25/1.19  % (10787)Instructions burned: 91 (million)
% 6.25/1.19  % (10787)------------------------------
% 6.25/1.19  % (10787)------------------------------
% 6.25/1.20  % (10792)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 (2992ds/9902Mi)
% 6.25/1.20  % (10793)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 (2992ds/1824Mi)
% 6.25/1.20  % (10794)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 6.79/1.26  % (10795)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9707Mi)
% 7.08/1.29  % (10796)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 (2991ds/90Mi)
% 7.08/1.29  % (10763)Instruction limit reached!
% 7.08/1.29  % (10763)------------------------------
% 7.08/1.29  % (10763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.08/1.29  % (10763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.08/1.29  % (10763)Termination reason: Unknown
% 7.08/1.29  % (10763)Termination phase: Saturation
% 7.08/1.29  
% 7.08/1.29  % (10763)Memory used [KB]: 8315
% 7.08/1.29  % (10763)Time elapsed: 0.890 s
% 7.08/1.29  % (10763)Instructions burned: 439 (million)
% 7.08/1.29  % (10763)------------------------------
% 7.08/1.29  % (10763)------------------------------
% 7.53/1.36  % (10757)Instruction limit reached!
% 7.53/1.36  % (10757)------------------------------
% 7.53/1.36  % (10757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.53/1.36  % (10757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.53/1.36  % (10757)Termination reason: Unknown
% 7.53/1.36  % (10757)Termination phase: Saturation
% 7.53/1.36  
% 7.53/1.36  % (10757)Memory used [KB]: 3454
% 7.53/1.36  % (10757)Time elapsed: 0.954 s
% 7.53/1.36  % (10757)Instructions burned: 499 (million)
% 7.53/1.36  % (10757)------------------------------
% 7.53/1.36  % (10757)------------------------------
% 7.53/1.36  % (10797)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 (2991ds/44001Mi)
% 7.67/1.38  % (10760)Instruction limit reached!
% 7.67/1.38  % (10760)------------------------------
% 7.67/1.38  % (10760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.38  % (10760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.38  % (10760)Termination reason: Unknown
% 7.67/1.38  % (10760)Termination phase: Saturation
% 7.67/1.38  
% 7.67/1.38  % (10760)Memory used [KB]: 10106
% 7.67/1.38  % (10760)Time elapsed: 0.959 s
% 7.67/1.38  % (10760)Instructions burned: 501 (million)
% 7.67/1.38  % (10760)------------------------------
% 7.67/1.38  % (10760)------------------------------
% 7.96/1.43  % (10798)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 (2990ds/4958Mi)
% 8.11/1.45  % (10796)Instruction limit reached!
% 8.11/1.45  % (10796)------------------------------
% 8.11/1.45  % (10796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.11/1.45  % (10796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.11/1.45  % (10796)Termination reason: Unknown
% 8.11/1.45  % (10796)Termination phase: Saturation
% 8.11/1.45  
% 8.11/1.45  % (10796)Memory used [KB]: 6268
% 8.11/1.45  % (10796)Time elapsed: 0.266 s
% 8.11/1.45  % (10796)Instructions burned: 91 (million)
% 8.11/1.45  % (10796)------------------------------
% 8.11/1.45  % (10796)------------------------------
% 8.11/1.49  % (10800)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 (2989ds/32293Mi)
% 8.11/1.50  % (10799)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 (2989ds/35256Mi)
% 8.95/1.59  % (10801)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 (2988ds/37001Mi)
% 10.40/1.68  TRYING [6]
% 10.99/1.80  % (10771)Instruction limit reached!
% 10.99/1.80  % (10771)------------------------------
% 10.99/1.80  % (10771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.99/1.80  % (10771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.99/1.80  % (10771)Termination reason: Unknown
% 10.99/1.80  % (10771)Termination phase: Saturation
% 10.99/1.80  
% 10.99/1.80  % (10771)Memory used [KB]: 4221
% 10.99/1.80  % (10771)Time elapsed: 1.150 s
% 10.99/1.80  % (10771)Instructions burned: 656 (million)
% 10.99/1.80  % (10771)------------------------------
% 10.99/1.80  % (10771)------------------------------
% 11.88/1.92  % (10802)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/10187Mi)
% 12.90/2.03  % (10770)Instruction limit reached!
% 12.90/2.03  % (10770)------------------------------
% 12.90/2.03  % (10770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.90/2.03  % (10770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.90/2.03  % (10770)Termination reason: Unknown
% 12.90/2.03  % (10770)Termination phase: Saturation
% 12.90/2.03  
% 12.90/2.03  % (10770)Memory used [KB]: 14072
% 12.90/2.03  % (10770)Time elapsed: 1.341 s
% 12.90/2.03  % (10770)Instructions burned: 747 (million)
% 12.90/2.03  % (10770)------------------------------
% 12.90/2.03  % (10770)------------------------------
% 14.38/2.19  % (10803)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/29337Mi)
% 15.11/2.26  % (10768)Instruction limit reached!
% 15.11/2.26  % (10768)------------------------------
% 15.11/2.26  % (10768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.11/2.26  % (10768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.11/2.26  % (10768)Termination reason: Unknown
% 15.11/2.26  % (10768)Termination phase: Saturation
% 15.11/2.27  
% 15.11/2.27  % (10768)Memory used [KB]: 12920
% 15.11/2.27  % (10768)Time elapsed: 1.614 s
% 15.11/2.27  % (10768)Instructions burned: 921 (million)
% 15.11/2.27  % (10768)------------------------------
% 15.11/2.27  % (10768)------------------------------
% 15.11/2.30  % (10769)Instruction limit reached!
% 15.11/2.30  % (10769)------------------------------
% 15.11/2.30  % (10769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.40/2.31  % (10769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.40/2.31  % (10769)Termination reason: Unknown
% 15.40/2.31  % (10769)Termination phase: Saturation
% 15.40/2.31  
% 15.40/2.31  % (10769)Memory used [KB]: 13432
% 15.40/2.31  % (10769)Time elapsed: 1.650 s
% 15.40/2.31  % (10769)Instructions burned: 935 (million)
% 15.40/2.31  % (10769)------------------------------
% 15.40/2.31  % (10769)------------------------------
% 15.40/2.31  % (10773)Instruction limit reached!
% 15.40/2.31  % (10773)------------------------------
% 15.40/2.31  % (10773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.40/2.32  % (10773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.40/2.32  % (10773)Termination reason: Unknown
% 15.40/2.32  % (10773)Termination phase: Saturation
% 15.40/2.32  
% 15.40/2.32  % (10773)Memory used [KB]: 14456
% 15.40/2.32  % (10773)Time elapsed: 1.638 s
% 15.40/2.32  % (10773)Instructions burned: 941 (million)
% 15.40/2.32  % (10773)------------------------------
% 15.40/2.32  % (10773)------------------------------
% 15.71/2.42  % (10804)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 (2980ds/10147Mi)
% 16.43/2.46  % (10805)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/38056Mi)
% 16.43/2.46  % (10806)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/33239Mi)
% 16.43/2.47  TRYING [3]
% 16.43/2.48  % (10774)Instruction limit reached!
% 16.43/2.48  % (10774)------------------------------
% 16.43/2.48  % (10774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.43/2.48  TRYING [3]
% 16.43/2.49  % (10774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.43/2.49  % (10774)Termination reason: Unknown
% 16.43/2.49  % (10774)Termination phase: Saturation
% 16.43/2.49  
% 16.43/2.49  % (10774)Memory used [KB]: 17142
% 16.43/2.49  % (10774)Time elapsed: 1.819 s
% 16.43/2.49  % (10774)Instructions burned: 983 (million)
% 16.43/2.49  % (10774)------------------------------
% 16.43/2.49  % (10774)------------------------------
% 16.82/2.55  TRYING [4]
% 16.82/2.55  TRYING [4]
% 17.86/2.66  % (10807)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/20987Mi)
% 17.86/2.67  TRYING [3]
% 18.54/2.74  TRYING [4]
% 18.54/2.80  TRYING [5]
% 19.39/2.82  TRYING [5]
% 21.13/3.09  TRYING [5]
% 23.62/3.35  % (10783)Instruction limit reached!
% 23.62/3.35  % (10783)------------------------------
% 23.62/3.35  % (10783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.62/3.35  % (10783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.62/3.35  % (10783)Termination reason: Unknown
% 23.62/3.35  % (10783)Termination phase: Saturation
% 23.62/3.35  
% 23.62/3.35  % (10783)Memory used [KB]: 7036
% 23.62/3.35  % (10783)Time elapsed: 2.564 s
% 23.62/3.35  % (10783)Instructions burned: 1825 (million)
% 23.62/3.35  % (10783)------------------------------
% 23.62/3.35  % (10783)------------------------------
% 24.79/3.51  % (10808)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/49917Mi)
% 24.79/3.51  TRYING [3]
% 24.79/3.57  TRYING [4]
% 25.49/3.57  TRYING [7]
% 25.49/3.58  TRYING [6]
% 25.63/3.61  % (10784)Instruction limit reached!
% 25.63/3.61  % (10784)------------------------------
% 25.63/3.61  % (10784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.86/3.63  % (10784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.86/3.63  % (10784)Termination reason: Unknown
% 25.86/3.63  % (10784)Termination phase: Saturation
% 25.86/3.63  
% 25.86/3.63  % (10784)Memory used [KB]: 23666
% 25.86/3.63  % (10784)Time elapsed: 2.846 s
% 25.86/3.63  % (10784)Instructions burned: 2136 (million)
% 25.86/3.63  % (10784)------------------------------
% 25.86/3.63  % (10784)------------------------------
% 25.86/3.63  TRYING [6]
% 27.03/3.79  % (10809)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/19144Mi)
% 27.03/3.84  TRYING [5]
% 28.39/4.00  % (10776)Instruction limit reached!
% 28.39/4.00  % (10776)------------------------------
% 28.39/4.00  % (10776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.05/4.02  % (10776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.05/4.02  % (10776)Termination reason: Unknown
% 29.05/4.02  % (10776)Termination phase: Saturation
% 29.05/4.02  
% 29.05/4.02  % (10776)Memory used [KB]: 7675
% 29.05/4.02  % (10776)Time elapsed: 3.298 s
% 29.05/4.02  % (10776)Instructions burned: 2017 (million)
% 29.05/4.02  % (10776)------------------------------
% 29.05/4.02  % (10776)------------------------------
% 29.05/4.07  % (10793)Instruction limit reached!
% 29.05/4.07  % (10793)------------------------------
% 29.05/4.07  % (10793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.05/4.08  % (10793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.05/4.08  % (10793)Termination reason: Unknown
% 29.05/4.08  % (10793)Termination phase: Saturation
% 29.05/4.08  
% 29.05/4.08  % (10793)Memory used [KB]: 7419
% 29.05/4.08  % (10793)Time elapsed: 2.852 s
% 29.05/4.08  % (10793)Instructions burned: 1824 (million)
% 29.05/4.08  % (10793)------------------------------
% 29.05/4.08  % (10793)------------------------------
% 30.21/4.16  % (10788)Instruction limit reached!
% 30.21/4.16  % (10788)------------------------------
% 30.21/4.16  % (10788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.21/4.16  % (10788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.21/4.16  % (10788)Termination reason: Unknown
% 30.21/4.16  % (10788)Termination phase: Saturation
% 30.21/4.16  
% 30.21/4.16  % (10788)Memory used [KB]: 7419
% 30.21/4.16  % (10788)Time elapsed: 3.229 s
% 30.21/4.16  % (10788)Instructions burned: 2016 (million)
% 30.21/4.16  % (10788)------------------------------
% 30.21/4.16  % (10788)------------------------------
% 30.32/4.18  % (10810)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/27492Mi)
% 30.32/4.20  % (10779)First to succeed.
% 30.71/4.23  % (10811)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/6101Mi)
% 30.71/4.24  TRYING [6]
% 30.71/4.26  % (10802)Also succeeded, but the first one will report.
% 30.71/4.26  % (10779)Refutation found. Thanks to Tanya!
% 30.71/4.26  % SZS status Theorem for theBenchmark
% 30.71/4.26  % SZS output start Proof for theBenchmark
% See solution above
% 30.71/4.27  % (10779)------------------------------
% 30.71/4.27  % (10779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.71/4.27  % (10779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.71/4.27  % (10779)Termination reason: Refutation
% 30.71/4.27  
% 30.71/4.27  % (10779)Memory used [KB]: 26353
% 30.71/4.27  % (10779)Time elapsed: 3.437 s
% 30.71/4.27  % (10779)Instructions burned: 1956 (million)
% 30.71/4.27  % (10779)------------------------------
% 30.71/4.27  % (10779)------------------------------
% 30.71/4.27  % (10734)Success in time 3.896 s
%------------------------------------------------------------------------------