TSTP Solution File: ALG139+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG139+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.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 15:39:58 EDT 2022

% Result   : Unsatisfiable 2.48s 0.73s
% Output   : Refutation 2.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   98
% Syntax   : Number of formulae    :  485 (  37 unt;   0 def)
%            Number of atoms       : 1505 ( 773 equ)
%            Maximal formula atoms :  128 (   3 avg)
%            Number of connectives : 1738 ( 718   ~; 779   |; 164   &)
%                                         (  77 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   83 (  81 usr;  82 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2591,plain,
    $false,
    inference(avatar_sat_refutation,[],[f237,f254,f314,f323,f345,f373,f382,f387,f401,f474,f479,f485,f486,f527,f549,f577,f578,f589,f591,f592,f611,f612,f613,f622,f631,f637,f639,f640,f642,f647,f648,f649,f658,f659,f667,f672,f681,f682,f685,f688,f690,f692,f695,f702,f703,f704,f708,f711,f720,f726,f736,f750,f754,f767,f836,f858,f879,f1086,f1098,f1120,f1125,f1136,f1139,f1144,f1179,f1228,f1364,f1385,f1392,f1404,f1414,f1612,f1626,f1645,f1653,f1670,f1671,f1768,f1774,f1784,f1923,f1929,f1936,f1948,f2068,f2085,f2087,f2098,f2110,f2113,f2116,f2118,f2122,f2123,f2143,f2316,f2328,f2330,f2335,f2336,f2338,f2346,f2348,f2349,f2350,f2359,f2360,f2361,f2364,f2367,f2368,f2371,f2377,f2379,f2385,f2388,f2537,f2540,f2542,f2549,f2552,f2557,f2569,f2571,f2575,f2578,f2582,f2585,f2588]) ).

fof(f2588,plain,
    ( ~ spl4_16
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f2504,f347,f294]) ).

fof(f294,plain,
    ( spl4_16
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f347,plain,
    ( spl4_28
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

fof(f2504,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f185,f349]) ).

fof(f349,plain,
    ( e3 = op(e2,e2)
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f185,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( op(e2,e1) != op(e2,e2)
    & op(e0,e1) != op(e2,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e1) != op(e0,e2)
    & op(e3,e2) != op(e3,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e0) != op(e1,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e3,e0) != op(e3,e2)
    & op(e0,e0) != op(e1,e0)
    & op(e1,e3) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e0) != op(e2,e1)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e1,e2) != op(e3,e2)
    & op(e2,e1) != op(e3,e1)
    & op(e2,e0) != op(e2,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e2,e0) != op(e3,e0)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e2) != op(e1,e3)
    & op(e0,e1) != op(e1,e1)
    & op(e1,e1) != op(e1,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e0,e2) != op(e3,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e3) != op(e2,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e2,e0) != op(e2,e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f2585,plain,
    ( ~ spl4_85
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f2516,f347,f634]) ).

fof(f634,plain,
    ( spl4_85
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).

fof(f2516,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f195,f349]) ).

fof(f195,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2582,plain,
    ( ~ spl4_39
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f2581,f347,f398]) ).

fof(f398,plain,
    ( spl4_39
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

fof(f2581,plain,
    ( e3 != op(e3,e2)
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f186,f349]) ).

fof(f186,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2578,plain,
    ( ~ spl4_27
    | ~ spl4_28
    | spl4_74 ),
    inference(avatar_contradiction_clause,[],[f2577]) ).

fof(f2577,plain,
    ( $false
    | ~ spl4_27
    | ~ spl4_28
    | spl4_74 ),
    inference(subsumption_resolution,[],[f2576,f349]) ).

fof(f2576,plain,
    ( e3 != op(e2,e2)
    | ~ spl4_27
    | spl4_74 ),
    inference(forward_demodulation,[],[f574,f343]) ).

fof(f343,plain,
    ( op(e0,e0) = e2
    | ~ spl4_27 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f342,plain,
    ( spl4_27
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

fof(f574,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | spl4_74 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl4_74
  <=> e3 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).

fof(f2575,plain,
    ( ~ spl4_88
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f2574,f338,f661]) ).

fof(f661,plain,
    ( spl4_88
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).

fof(f338,plain,
    ( spl4_26
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).

fof(f2574,plain,
    ( e0 != op(e3,e1)
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f184,f340]) ).

fof(f340,plain,
    ( e0 = op(e1,e1)
    | ~ spl4_26 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f184,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2571,plain,
    ( ~ spl4_69
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f2570,f338,f545]) ).

fof(f545,plain,
    ( spl4_69
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).

fof(f2570,plain,
    ( e0 != op(e1,e2)
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f158,f340]) ).

fof(f158,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2569,plain,
    ( ~ spl4_51
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f2568,f338,f457]) ).

fof(f457,plain,
    ( spl4_51
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).

fof(f2568,plain,
    ( e0 != op(e2,e1)
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f154,f340]) ).

fof(f154,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2557,plain,
    ( ~ spl4_31
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f2556,f342,f361]) ).

fof(f361,plain,
    ( spl4_31
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).

fof(f2556,plain,
    ( e2 != op(e3,e0)
    | ~ spl4_27 ),
    inference(forward_demodulation,[],[f169,f343]) ).

fof(f169,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2552,plain,
    ( ~ spl4_90
    | ~ spl4_28
    | spl4_64 ),
    inference(avatar_split_clause,[],[f2528,f519,f347,f674]) ).

fof(f674,plain,
    ( spl4_90
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_90])]) ).

fof(f519,plain,
    ( spl4_64
  <=> e1 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).

fof(f2528,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_28
    | spl4_64 ),
    inference(forward_demodulation,[],[f521,f349]) ).

fof(f521,plain,
    ( e1 != op(op(e2,e2),e2)
    | spl4_64 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f2549,plain,
    ( ~ spl4_73
    | ~ spl4_55 ),
    inference(avatar_split_clause,[],[f2548,f476,f566]) ).

fof(f566,plain,
    ( spl4_73
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).

fof(f476,plain,
    ( spl4_55
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).

fof(f2548,plain,
    ( e3 != op(e3,e1)
    | ~ spl4_55 ),
    inference(forward_demodulation,[],[f179,f478]) ).

fof(f478,plain,
    ( e3 = op(e0,e1)
    | ~ spl4_55 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f179,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2542,plain,
    ( ~ spl4_78
    | ~ spl4_28
    | spl4_68 ),
    inference(avatar_split_clause,[],[f2541,f540,f347,f598]) ).

fof(f598,plain,
    ( spl4_78
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).

fof(f540,plain,
    ( spl4_68
  <=> e0 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).

fof(f2541,plain,
    ( e0 != op(e3,e2)
    | ~ spl4_28
    | spl4_68 ),
    inference(forward_demodulation,[],[f542,f349]) ).

fof(f542,plain,
    ( e0 != op(op(e2,e2),e2)
    | spl4_68 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f2540,plain,
    ( ~ spl4_3
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f2539,f342,f239]) ).

fof(f239,plain,
    ( spl4_3
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f2539,plain,
    ( e2 != op(e0,e3)
    | ~ spl4_27 ),
    inference(forward_demodulation,[],[f150,f343]) ).

fof(f150,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2537,plain,
    ( ~ spl4_28
    | ~ spl4_37
    | spl4_86 ),
    inference(avatar_contradiction_clause,[],[f2536]) ).

fof(f2536,plain,
    ( $false
    | ~ spl4_28
    | ~ spl4_37
    | spl4_86 ),
    inference(subsumption_resolution,[],[f2535,f390]) ).

fof(f390,plain,
    ( e1 = op(e3,e3)
    | ~ spl4_37 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f389,plain,
    ( spl4_37
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

fof(f2535,plain,
    ( e1 != op(e3,e3)
    | ~ spl4_28
    | spl4_86 ),
    inference(forward_demodulation,[],[f646,f349]) ).

fof(f646,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | spl4_86 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f644,plain,
    ( spl4_86
  <=> e1 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).

fof(f2388,plain,
    ( ~ spl4_33
    | ~ spl4_37
    | spl4_83 ),
    inference(avatar_split_clause,[],[f2387,f624,f389,f370]) ).

fof(f370,plain,
    ( spl4_33
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

fof(f624,plain,
    ( spl4_83
  <=> e2 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).

fof(f2387,plain,
    ( e2 != op(e1,e1)
    | ~ spl4_37
    | spl4_83 ),
    inference(forward_demodulation,[],[f626,f390]) ).

fof(f626,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | spl4_83 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f2385,plain,
    ( ~ spl4_29
    | ~ spl4_33
    | spl4_53 ),
    inference(avatar_contradiction_clause,[],[f2384]) ).

fof(f2384,plain,
    ( $false
    | ~ spl4_29
    | ~ spl4_33
    | spl4_53 ),
    inference(subsumption_resolution,[],[f2383,f353]) ).

fof(f353,plain,
    ( e0 = op(e2,e2)
    | ~ spl4_29 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f351,plain,
    ( spl4_29
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

fof(f2383,plain,
    ( e0 != op(e2,e2)
    | ~ spl4_33
    | spl4_53 ),
    inference(forward_demodulation,[],[f469,f372]) ).

fof(f372,plain,
    ( e2 = op(e1,e1)
    | ~ spl4_33 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f469,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | spl4_53 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f467,plain,
    ( spl4_53
  <=> e0 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).

fof(f2379,plain,
    ( ~ spl4_41
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f2378,f370,f407]) ).

fof(f407,plain,
    ( spl4_41
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).

fof(f2378,plain,
    ( e2 != op(e2,e1)
    | ~ spl4_33 ),
    inference(forward_demodulation,[],[f154,f372]) ).

fof(f2377,plain,
    ( ~ spl4_85
    | ~ spl4_33
    | spl4_54 ),
    inference(avatar_split_clause,[],[f2291,f471,f370,f634]) ).

fof(f471,plain,
    ( spl4_54
  <=> e3 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).

fof(f2291,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_33
    | spl4_54 ),
    inference(forward_demodulation,[],[f473,f372]) ).

fof(f473,plain,
    ( e3 != op(op(e1,e1),e1)
    | spl4_54 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f2371,plain,
    ( ~ spl4_56
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f2370,f230,f481]) ).

fof(f481,plain,
    ( spl4_56
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).

fof(f230,plain,
    ( spl4_1
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f2370,plain,
    ( e3 != op(e2,e0)
    | ~ spl4_1 ),
    inference(forward_demodulation,[],[f168,f232]) ).

fof(f232,plain,
    ( op(e0,e0) = e3
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f168,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f2368,plain,
    ( ~ spl4_91
    | ~ spl4_1
    | spl4_65 ),
    inference(avatar_split_clause,[],[f2298,f524,f230,f678]) ).

fof(f678,plain,
    ( spl4_91
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).

fof(f524,plain,
    ( spl4_65
  <=> e1 = op(op(e0,e0),e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).

fof(f2298,plain,
    ( e1 != op(e3,e0)
    | ~ spl4_1
    | spl4_65 ),
    inference(forward_demodulation,[],[f526,f232]) ).

fof(f526,plain,
    ( e1 != op(op(e0,e0),e0)
    | spl4_65 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f2367,plain,
    ( ~ spl4_11
    | ~ spl4_37
    | spl4_76 ),
    inference(avatar_split_clause,[],[f2366,f586,f389,f273]) ).

fof(f273,plain,
    ( spl4_11
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f586,plain,
    ( spl4_76
  <=> e0 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).

fof(f2366,plain,
    ( e0 != op(e1,e3)
    | ~ spl4_37
    | spl4_76 ),
    inference(forward_demodulation,[],[f588,f390]) ).

fof(f588,plain,
    ( e0 != op(op(e3,e3),e3)
    | spl4_76 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f2364,plain,
    ( ~ spl4_38
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f2363,f230,f394]) ).

fof(f394,plain,
    ( spl4_38
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

fof(f2363,plain,
    ( e3 != op(e0,e2)
    | ~ spl4_1 ),
    inference(forward_demodulation,[],[f151,f232]) ).

fof(f151,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2361,plain,
    ( ~ spl4_38
    | ~ spl4_29
    | spl4_61 ),
    inference(avatar_split_clause,[],[f2295,f506,f351,f394]) ).

fof(f506,plain,
    ( spl4_61
  <=> e3 = op(op(e2,e2),e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).

fof(f2295,plain,
    ( e3 != op(e0,e2)
    | ~ spl4_29
    | spl4_61 ),
    inference(forward_demodulation,[],[f508,f353]) ).

fof(f508,plain,
    ( e3 != op(op(e2,e2),e2)
    | spl4_61 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f2360,plain,
    ( ~ spl4_91
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f2209,f389,f678]) ).

fof(f2209,plain,
    ( e1 != op(e3,e0)
    | ~ spl4_37 ),
    inference(forward_demodulation,[],[f157,f390]) ).

fof(f157,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2359,plain,
    ( ~ spl4_59
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f2193,f389,f497]) ).

fof(f497,plain,
    ( spl4_59
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).

fof(f2193,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_37 ),
    inference(forward_demodulation,[],[f149,f390]) ).

fof(f149,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2350,plain,
    ( ~ spl4_90
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f2271,f389,f674]) ).

fof(f2271,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_37 ),
    inference(forward_demodulation,[],[f188,f390]) ).

fof(f188,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2349,plain,
    ( ~ spl4_67
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f2279,f389,f535]) ).

fof(f535,plain,
    ( spl4_67
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).

fof(f2279,plain,
    ( e1 != op(e1,e3)
    | ~ spl4_37 ),
    inference(forward_demodulation,[],[f192,f390]) ).

fof(f192,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2348,plain,
    ( ~ spl4_35
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f2347,f370,f379]) ).

fof(f379,plain,
    ( spl4_35
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

fof(f2347,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_33 ),
    inference(forward_demodulation,[],[f184,f372]) ).

fof(f2346,plain,
    ( ~ spl4_55
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f2345,f230,f476]) ).

fof(f2345,plain,
    ( e3 != op(e0,e1)
    | ~ spl4_1 ),
    inference(forward_demodulation,[],[f180,f232]) ).

fof(f180,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2338,plain,
    ( ~ spl4_59
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f2337,f448,f497]) ).

fof(f448,plain,
    ( spl4_49
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).

fof(f2337,plain,
    ( e1 != op(e3,e1)
    | ~ spl4_49 ),
    inference(forward_demodulation,[],[f166,f450]) ).

fof(f450,plain,
    ( e1 = op(e2,e1)
    | ~ spl4_49 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f166,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2336,plain,
    ( ~ spl4_60
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f2283,f448,f501]) ).

fof(f501,plain,
    ( spl4_60
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).

fof(f2283,plain,
    ( e1 != op(e0,e1)
    | ~ spl4_49 ),
    inference(forward_demodulation,[],[f194,f450]) ).

fof(f194,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2335,plain,
    ( ~ spl4_71
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f2334,f370,f556]) ).

fof(f556,plain,
    ( spl4_71
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).

fof(f2334,plain,
    ( e2 != op(e1,e3)
    | ~ spl4_33 ),
    inference(forward_demodulation,[],[f152,f372]) ).

fof(f152,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2330,plain,
    ( ~ spl4_40
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f2213,f370,f403]) ).

fof(f403,plain,
    ( spl4_40
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

fof(f2213,plain,
    ( e2 != op(e0,e1)
    | ~ spl4_33 ),
    inference(forward_demodulation,[],[f159,f372]) ).

fof(f159,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f2328,plain,
    ( ~ spl4_66
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f2327,f439,f531]) ).

fof(f531,plain,
    ( spl4_66
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).

fof(f439,plain,
    ( spl4_47
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).

fof(f2327,plain,
    ( e1 != op(e1,e2)
    | ~ spl4_47 ),
    inference(forward_demodulation,[],[f178,f441]) ).

fof(f441,plain,
    ( e1 = op(e1,e0)
    | ~ spl4_47 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f178,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f2316,plain,
    ( ~ spl4_13
    | ~ spl4_29 ),
    inference(avatar_split_clause,[],[f2315,f351,f281]) ).

fof(f281,plain,
    ( spl4_13
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

fof(f2315,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_29 ),
    inference(forward_demodulation,[],[f172,f353]) ).

fof(f172,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2143,plain,
    ( ~ spl4_12
    | ~ spl4_37 ),
    inference(avatar_contradiction_clause,[],[f2142]) ).

fof(f2142,plain,
    ( $false
    | ~ spl4_12
    | ~ spl4_37 ),
    inference(subsumption_resolution,[],[f2141,f119]) ).

fof(f119,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( e0 != e2
    & e0 != e1
    & e0 != e3
    & e1 != e2
    & e2 != e3
    & e1 != e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f2141,plain,
    ( e0 = e1
    | ~ spl4_12
    | ~ spl4_37 ),
    inference(forward_demodulation,[],[f390,f279]) ).

fof(f279,plain,
    ( e0 = op(e3,e3)
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl4_12
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f2123,plain,
    ( ~ spl4_20
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f1879,f260,f311]) ).

fof(f311,plain,
    ( spl4_20
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

fof(f260,plain,
    ( spl4_8
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f1879,plain,
    ( e2 != op(e2,e3)
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f193,f262]) ).

fof(f262,plain,
    ( e2 = op(e3,e3)
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f193,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2122,plain,
    ( ~ spl4_19
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f2121,f264,f307]) ).

fof(f307,plain,
    ( spl4_19
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

fof(f264,plain,
    ( spl4_9
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f2121,plain,
    ( e1 != op(e2,e3)
    | ~ spl4_9 ),
    inference(forward_demodulation,[],[f172,f265]) ).

fof(f265,plain,
    ( e1 = op(e2,e2)
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f2118,plain,
    ( ~ spl4_19
    | ~ spl4_8
    | spl4_84 ),
    inference(avatar_split_clause,[],[f1892,f628,f260,f307]) ).

fof(f628,plain,
    ( spl4_84
  <=> e1 = op(op(e3,e3),e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).

fof(f1892,plain,
    ( e1 != op(e2,e3)
    | ~ spl4_8
    | spl4_84 ),
    inference(forward_demodulation,[],[f630,f262]) ).

fof(f630,plain,
    ( e1 != op(op(e3,e3),e3)
    | spl4_84 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f2116,plain,
    ( ~ spl4_13
    | ~ spl4_8
    | spl4_76 ),
    inference(avatar_split_clause,[],[f1890,f586,f260,f281]) ).

fof(f1890,plain,
    ( e0 != op(e2,e3)
    | ~ spl4_8
    | spl4_76 ),
    inference(forward_demodulation,[],[f588,f262]) ).

fof(f2113,plain,
    ( ~ spl4_90
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f2112,f264,f674]) ).

fof(f2112,plain,
    ( e1 != op(e3,e2)
    | ~ spl4_9 ),
    inference(forward_demodulation,[],[f186,f265]) ).

fof(f2110,plain,
    ( ~ spl4_4
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f1833,f303,f243]) ).

fof(f243,plain,
    ( spl4_4
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f303,plain,
    ( spl4_18
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f1833,plain,
    ( e3 != op(e0,e3)
    | ~ spl4_18 ),
    inference(forward_demodulation,[],[f153,f305]) ).

fof(f305,plain,
    ( e3 = op(e2,e3)
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f153,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2098,plain,
    ( ~ spl4_14
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f2097,f303,f286]) ).

fof(f286,plain,
    ( spl4_14
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f2097,plain,
    ( e3 != op(e1,e3)
    | ~ spl4_18 ),
    inference(forward_demodulation,[],[f175,f305]) ).

fof(f175,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2087,plain,
    ( ~ spl4_87
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f2001,f338,f653]) ).

fof(f653,plain,
    ( spl4_87
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).

fof(f2001,plain,
    ( e0 != op(e0,e1)
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f159,f340]) ).

fof(f2085,plain,
    ( ~ spl4_14
    | ~ spl4_16 ),
    inference(avatar_split_clause,[],[f2084,f294,f286]) ).

fof(f2084,plain,
    ( e3 != op(e1,e3)
    | ~ spl4_16 ),
    inference(forward_demodulation,[],[f160,f296]) ).

fof(f296,plain,
    ( e3 = op(e1,e2)
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f160,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f2068,plain,
    ( ~ spl4_1
    | ~ spl4_8
    | spl4_23 ),
    inference(avatar_contradiction_clause,[],[f2067]) ).

fof(f2067,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_8
    | spl4_23 ),
    inference(subsumption_resolution,[],[f2066,f262]) ).

fof(f2066,plain,
    ( e2 != op(e3,e3)
    | ~ spl4_1
    | spl4_23 ),
    inference(forward_demodulation,[],[f327,f232]) ).

fof(f327,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | spl4_23 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl4_23
  <=> e2 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).

fof(f1948,plain,
    ( ~ spl4_9
    | ~ spl4_8
    | spl4_75 ),
    inference(avatar_split_clause,[],[f1907,f582,f260,f264]) ).

fof(f582,plain,
    ( spl4_75
  <=> e1 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).

fof(f1907,plain,
    ( e1 != op(e2,e2)
    | ~ spl4_8
    | spl4_75 ),
    inference(forward_demodulation,[],[f584,f262]) ).

fof(f584,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | spl4_75 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f1936,plain,
    ( ~ spl4_29
    | ~ spl4_8
    | spl4_44 ),
    inference(avatar_split_clause,[],[f1935,f422,f260,f351]) ).

fof(f422,plain,
    ( spl4_44
  <=> e0 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).

fof(f1935,plain,
    ( e0 != op(e2,e2)
    | ~ spl4_8
    | spl4_44 ),
    inference(forward_demodulation,[],[f424,f262]) ).

fof(f424,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | spl4_44 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f1929,plain,
    ( ~ spl4_85
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f1855,f303,f634]) ).

fof(f1855,plain,
    ( e3 != op(e2,e1)
    | ~ spl4_18 ),
    inference(forward_demodulation,[],[f171,f305]) ).

fof(f171,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1923,plain,
    ( ~ spl4_25
    | ~ spl4_29
    | spl4_86 ),
    inference(avatar_contradiction_clause,[],[f1922]) ).

fof(f1922,plain,
    ( $false
    | ~ spl4_25
    | ~ spl4_29
    | spl4_86 ),
    inference(subsumption_resolution,[],[f1921,f334]) ).

fof(f334,plain,
    ( op(e0,e0) = e1
    | ~ spl4_25 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f333,plain,
    ( spl4_25
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

fof(f1921,plain,
    ( op(e0,e0) != e1
    | ~ spl4_29
    | spl4_86 ),
    inference(forward_demodulation,[],[f646,f353]) ).

fof(f1784,plain,
    ( ~ spl4_35
    | ~ spl4_15
    | spl4_80 ),
    inference(avatar_split_clause,[],[f1783,f608,f290,f379]) ).

fof(f290,plain,
    ( spl4_15
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f608,plain,
    ( spl4_80
  <=> e2 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).

fof(f1783,plain,
    ( e2 != op(e3,e1)
    | ~ spl4_15
    | spl4_80 ),
    inference(forward_demodulation,[],[f610,f292]) ).

fof(f292,plain,
    ( e3 = op(e1,e1)
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f610,plain,
    ( e2 != op(op(e1,e1),e1)
    | spl4_80 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f1774,plain,
    ( ~ spl4_34
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f1773,f552,f375]) ).

fof(f375,plain,
    ( spl4_34
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

fof(f552,plain,
    ( spl4_70
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_70])]) ).

fof(f1773,plain,
    ( e2 != op(e3,e2)
    | ~ spl4_70 ),
    inference(forward_demodulation,[],[f167,f554]) ).

fof(f554,plain,
    ( e2 = op(e1,e2)
    | ~ spl4_70 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f167,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f1768,plain,
    ( ~ spl4_12
    | ~ spl4_15
    | spl4_53 ),
    inference(avatar_contradiction_clause,[],[f1767]) ).

fof(f1767,plain,
    ( $false
    | ~ spl4_12
    | ~ spl4_15
    | spl4_53 ),
    inference(subsumption_resolution,[],[f1766,f279]) ).

fof(f1766,plain,
    ( e0 != op(e3,e3)
    | ~ spl4_15
    | spl4_53 ),
    inference(forward_demodulation,[],[f469,f292]) ).

fof(f1671,plain,
    ( ~ spl4_50
    | ~ spl4_27
    | spl4_65 ),
    inference(avatar_split_clause,[],[f1600,f524,f342,f452]) ).

fof(f452,plain,
    ( spl4_50
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).

fof(f1600,plain,
    ( e1 != op(e2,e0)
    | ~ spl4_27
    | spl4_65 ),
    inference(forward_demodulation,[],[f526,f343]) ).

fof(f1670,plain,
    ( ~ spl4_55
    | ~ spl4_15 ),
    inference(avatar_split_clause,[],[f1526,f290,f476]) ).

fof(f1526,plain,
    ( e3 != op(e0,e1)
    | ~ spl4_15 ),
    inference(forward_demodulation,[],[f159,f292]) ).

fof(f1653,plain,
    ( ~ spl4_16
    | ~ spl4_15 ),
    inference(avatar_split_clause,[],[f1652,f290,f294]) ).

fof(f1652,plain,
    ( e3 != op(e1,e2)
    | ~ spl4_15 ),
    inference(forward_demodulation,[],[f158,f292]) ).

fof(f1645,plain,
    ( ~ spl4_4
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f1644,f394,f243]) ).

fof(f1644,plain,
    ( e3 != op(e0,e3)
    | ~ spl4_38 ),
    inference(forward_demodulation,[],[f162,f396]) ).

fof(f396,plain,
    ( e3 = op(e0,e2)
    | ~ spl4_38 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f162,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1626,plain,
    ( ~ spl4_5
    | ~ spl4_12
    | spl4_84 ),
    inference(avatar_split_clause,[],[f1625,f628,f277,f247]) ).

fof(f247,plain,
    ( spl4_5
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f1625,plain,
    ( e1 != op(e0,e3)
    | ~ spl4_12
    | spl4_84 ),
    inference(forward_demodulation,[],[f630,f279]) ).

fof(f1612,plain,
    ( ~ spl4_12
    | ~ spl4_27
    | spl4_83 ),
    inference(avatar_contradiction_clause,[],[f1611]) ).

fof(f1611,plain,
    ( $false
    | ~ spl4_12
    | ~ spl4_27
    | spl4_83 ),
    inference(subsumption_resolution,[],[f1610,f343]) ).

fof(f1610,plain,
    ( op(e0,e0) != e2
    | ~ spl4_12
    | spl4_83 ),
    inference(forward_demodulation,[],[f626,f279]) ).

fof(f1414,plain,
    ( ~ spl4_12
    | ~ spl4_28
    | spl4_62 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | ~ spl4_12
    | ~ spl4_28
    | spl4_62 ),
    inference(subsumption_resolution,[],[f1412,f279]) ).

fof(f1412,plain,
    ( e0 != op(e3,e3)
    | ~ spl4_28
    | spl4_62 ),
    inference(forward_demodulation,[],[f512,f349]) ).

fof(f512,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | spl4_62 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f510,plain,
    ( spl4_62
  <=> e0 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).

fof(f1404,plain,
    ( ~ spl4_51
    | ~ spl4_33
    | spl4_82 ),
    inference(avatar_split_clause,[],[f1403,f619,f370,f457]) ).

fof(f619,plain,
    ( spl4_82
  <=> e0 = op(op(e1,e1),e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).

fof(f1403,plain,
    ( e0 != op(e2,e1)
    | ~ spl4_33
    | spl4_82 ),
    inference(forward_demodulation,[],[f621,f372]) ).

fof(f621,plain,
    ( e0 != op(op(e1,e1),e1)
    | spl4_82 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f1392,plain,
    ( ~ spl4_6
    | ~ spl4_12 ),
    inference(avatar_split_clause,[],[f1326,f277,f251]) ).

fof(f251,plain,
    ( spl4_6
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f1326,plain,
    ( e0 != op(e0,e3)
    | ~ spl4_12 ),
    inference(forward_demodulation,[],[f187,f279]) ).

fof(f187,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f1385,plain,
    ( ~ spl4_91
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f1384,f333,f678]) ).

fof(f1384,plain,
    ( e1 != op(e3,e0)
    | ~ spl4_25 ),
    inference(forward_demodulation,[],[f169,f334]) ).

fof(f1364,plain,
    ( ~ spl4_28
    | ~ spl4_33
    | spl4_81 ),
    inference(avatar_contradiction_clause,[],[f1363]) ).

fof(f1363,plain,
    ( $false
    | ~ spl4_28
    | ~ spl4_33
    | spl4_81 ),
    inference(subsumption_resolution,[],[f1362,f349]) ).

fof(f1362,plain,
    ( e3 != op(e2,e2)
    | ~ spl4_33
    | spl4_81 ),
    inference(forward_demodulation,[],[f617,f372]) ).

fof(f617,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | spl4_81 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f615,plain,
    ( spl4_81
  <=> e3 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).

fof(f1228,plain,
    ( ~ spl4_59
    | ~ spl4_73 ),
    inference(avatar_contradiction_clause,[],[f1227]) ).

fof(f1227,plain,
    ( $false
    | ~ spl4_59
    | ~ spl4_73 ),
    inference(subsumption_resolution,[],[f1226,f115]) ).

fof(f115,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1226,plain,
    ( e1 = e3
    | ~ spl4_59
    | ~ spl4_73 ),
    inference(forward_demodulation,[],[f568,f499]) ).

fof(f499,plain,
    ( e1 = op(e3,e1)
    | ~ spl4_59 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f568,plain,
    ( e3 = op(e3,e1)
    | ~ spl4_73 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f1179,plain,
    ( ~ spl4_33
    | ~ spl4_46 ),
    inference(avatar_contradiction_clause,[],[f1178]) ).

fof(f1178,plain,
    ( $false
    | ~ spl4_33
    | ~ spl4_46 ),
    inference(subsumption_resolution,[],[f1177,f117]) ).

fof(f117,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f1177,plain,
    ( e1 = e2
    | ~ spl4_33
    | ~ spl4_46 ),
    inference(forward_demodulation,[],[f435,f372]) ).

fof(f435,plain,
    ( e1 = op(e1,e1)
    | ~ spl4_46 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f433,plain,
    ( spl4_46
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).

fof(f1144,plain,
    ( ~ spl4_28
    | ~ spl4_29 ),
    inference(avatar_contradiction_clause,[],[f1143]) ).

fof(f1143,plain,
    ( $false
    | ~ spl4_28
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f1142,f118]) ).

fof(f118,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1142,plain,
    ( e0 = e3
    | ~ spl4_28
    | ~ spl4_29 ),
    inference(forward_demodulation,[],[f353,f349]) ).

fof(f1139,plain,
    ( ~ spl4_25
    | ~ spl4_27 ),
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1138,plain,
    ( $false
    | ~ spl4_25
    | ~ spl4_27 ),
    inference(subsumption_resolution,[],[f1137,f117]) ).

fof(f1137,plain,
    ( e1 = e2
    | ~ spl4_25
    | ~ spl4_27 ),
    inference(forward_demodulation,[],[f334,f343]) ).

fof(f1136,plain,
    ( ~ spl4_12
    | ~ spl4_36 ),
    inference(avatar_contradiction_clause,[],[f1135]) ).

fof(f1135,plain,
    ( $false
    | ~ spl4_12
    | ~ spl4_36 ),
    inference(subsumption_resolution,[],[f1134,f118]) ).

fof(f1134,plain,
    ( e0 = e3
    | ~ spl4_12
    | ~ spl4_36 ),
    inference(forward_demodulation,[],[f279,f386]) ).

fof(f386,plain,
    ( e3 = op(e3,e3)
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl4_36
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

fof(f1125,plain,
    ( ~ spl4_9
    | ~ spl4_28 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1124,plain,
    ( $false
    | ~ spl4_9
    | ~ spl4_28 ),
    inference(subsumption_resolution,[],[f1123,f115]) ).

fof(f1123,plain,
    ( e1 = e3
    | ~ spl4_9
    | ~ spl4_28 ),
    inference(forward_demodulation,[],[f265,f349]) ).

fof(f1120,plain,
    ( ~ spl4_36
    | ~ spl4_37 ),
    inference(avatar_contradiction_clause,[],[f1119]) ).

fof(f1119,plain,
    ( $false
    | ~ spl4_36
    | ~ spl4_37 ),
    inference(subsumption_resolution,[],[f1118,f115]) ).

fof(f1118,plain,
    ( e1 = e3
    | ~ spl4_36
    | ~ spl4_37 ),
    inference(forward_demodulation,[],[f390,f386]) ).

fof(f1098,plain,
    ( ~ spl4_1
    | ~ spl4_27 ),
    inference(avatar_contradiction_clause,[],[f1097]) ).

fof(f1097,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_27 ),
    inference(subsumption_resolution,[],[f1096,f116]) ).

fof(f116,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f1096,plain,
    ( e2 = e3
    | ~ spl4_1
    | ~ spl4_27 ),
    inference(forward_demodulation,[],[f343,f232]) ).

fof(f1086,plain,
    ( ~ spl4_8
    | ~ spl4_37 ),
    inference(avatar_contradiction_clause,[],[f1085]) ).

fof(f1085,plain,
    ( $false
    | ~ spl4_8
    | ~ spl4_37 ),
    inference(subsumption_resolution,[],[f1084,f117]) ).

fof(f1084,plain,
    ( e1 = e2
    | ~ spl4_8
    | ~ spl4_37 ),
    inference(forward_demodulation,[],[f390,f262]) ).

fof(f879,plain,
    ( ~ spl4_31
    | ~ spl4_89 ),
    inference(avatar_contradiction_clause,[],[f878]) ).

fof(f878,plain,
    ( $false
    | ~ spl4_31
    | ~ spl4_89 ),
    inference(subsumption_resolution,[],[f877,f120]) ).

fof(f120,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f877,plain,
    ( e0 = e2
    | ~ spl4_31
    | ~ spl4_89 ),
    inference(forward_demodulation,[],[f671,f363]) ).

fof(f363,plain,
    ( e2 = op(e3,e0)
    | ~ spl4_31 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f671,plain,
    ( e0 = op(e3,e0)
    | ~ spl4_89 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f669,plain,
    ( spl4_89
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).

fof(f858,plain,
    ( ~ spl4_1
    | ~ spl4_25 ),
    inference(avatar_contradiction_clause,[],[f857]) ).

fof(f857,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_25 ),
    inference(subsumption_resolution,[],[f856,f115]) ).

fof(f856,plain,
    ( e1 = e3
    | ~ spl4_1
    | ~ spl4_25 ),
    inference(forward_demodulation,[],[f232,f334]) ).

fof(f836,plain,
    ( ~ spl4_39
    | ~ spl4_78 ),
    inference(avatar_contradiction_clause,[],[f835]) ).

fof(f835,plain,
    ( $false
    | ~ spl4_39
    | ~ spl4_78 ),
    inference(subsumption_resolution,[],[f834,f118]) ).

fof(f834,plain,
    ( e0 = e3
    | ~ spl4_39
    | ~ spl4_78 ),
    inference(forward_demodulation,[],[f600,f400]) ).

fof(f400,plain,
    ( e3 = op(e3,e2)
    | ~ spl4_39 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f600,plain,
    ( e0 = op(e3,e2)
    | ~ spl4_78 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f767,plain,
    ( ~ spl4_15
    | ~ spl4_46 ),
    inference(avatar_contradiction_clause,[],[f766]) ).

fof(f766,plain,
    ( $false
    | ~ spl4_15
    | ~ spl4_46 ),
    inference(subsumption_resolution,[],[f765,f115]) ).

fof(f765,plain,
    ( e1 = e3
    | ~ spl4_15
    | ~ spl4_46 ),
    inference(forward_demodulation,[],[f435,f292]) ).

fof(f754,plain,
    ( ~ spl4_34
    | ~ spl4_39 ),
    inference(avatar_contradiction_clause,[],[f753]) ).

fof(f753,plain,
    ( $false
    | ~ spl4_34
    | ~ spl4_39 ),
    inference(subsumption_resolution,[],[f752,f116]) ).

fof(f752,plain,
    ( e2 = e3
    | ~ spl4_34
    | ~ spl4_39 ),
    inference(forward_demodulation,[],[f400,f377]) ).

fof(f377,plain,
    ( e2 = op(e3,e2)
    | ~ spl4_34 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f750,plain,
    ( ~ spl4_8
    | ~ spl4_36 ),
    inference(avatar_contradiction_clause,[],[f749]) ).

fof(f749,plain,
    ( $false
    | ~ spl4_8
    | ~ spl4_36 ),
    inference(subsumption_resolution,[],[f748,f116]) ).

fof(f748,plain,
    ( e2 = e3
    | ~ spl4_8
    | ~ spl4_36 ),
    inference(forward_demodulation,[],[f386,f262]) ).

fof(f736,plain,
    ( ~ spl4_15
    | ~ spl4_33 ),
    inference(avatar_contradiction_clause,[],[f735]) ).

fof(f735,plain,
    ( $false
    | ~ spl4_15
    | ~ spl4_33 ),
    inference(subsumption_resolution,[],[f734,f116]) ).

fof(f734,plain,
    ( e2 = e3
    | ~ spl4_15
    | ~ spl4_33 ),
    inference(forward_demodulation,[],[f372,f292]) ).

fof(f726,plain,
    ( ~ spl4_9
    | ~ spl4_29 ),
    inference(avatar_contradiction_clause,[],[f725]) ).

fof(f725,plain,
    ( $false
    | ~ spl4_9
    | ~ spl4_29 ),
    inference(subsumption_resolution,[],[f724,f119]) ).

fof(f724,plain,
    ( e0 = e1
    | ~ spl4_9
    | ~ spl4_29 ),
    inference(forward_demodulation,[],[f353,f265]) ).

fof(f720,plain,
    ( ~ spl4_15
    | ~ spl4_26 ),
    inference(avatar_contradiction_clause,[],[f719]) ).

fof(f719,plain,
    ( $false
    | ~ spl4_15
    | ~ spl4_26 ),
    inference(subsumption_resolution,[],[f718,f118]) ).

fof(f718,plain,
    ( e0 = e3
    | ~ spl4_15
    | ~ spl4_26 ),
    inference(forward_demodulation,[],[f340,f292]) ).

fof(f711,plain,
    ( ~ spl4_8
    | ~ spl4_12 ),
    inference(avatar_contradiction_clause,[],[f710]) ).

fof(f710,plain,
    ( $false
    | ~ spl4_8
    | ~ spl4_12 ),
    inference(subsumption_resolution,[],[f709,f120]) ).

fof(f709,plain,
    ( e0 = e2
    | ~ spl4_8
    | ~ spl4_12 ),
    inference(forward_demodulation,[],[f279,f262]) ).

fof(f708,plain,
    ( ~ spl4_86
    | ~ spl4_29
    | ~ spl4_61 ),
    inference(avatar_split_clause,[],[f65,f506,f351,f644]) ).

fof(f65,plain,
    ( e3 != op(op(e2,e2),e2)
    | e0 != op(e2,e2)
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(op(e2,e2),e2) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ~ ( e0 = op(e2,e2)
      & e3 = op(op(e2,e2),e2)
      & e1 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f704,plain,
    ( spl4_16
    | spl4_69
    | spl4_66
    | spl4_70 ),
    inference(avatar_split_clause,[],[f147,f552,f531,f545,f294]) ).

fof(f147,plain,
    ( e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2)
    | e3 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e1 = op(e1,e2)
      | e2 = op(e1,e2)
      | e0 = op(e1,e2)
      | e3 = op(e1,e2) )
    & ( e0 = op(e1,e0)
      | e2 = op(e1,e0)
      | e1 = op(e1,e0)
      | e3 = op(e1,e0) )
    & ( e1 = op(e2,e3)
      | e2 = op(e2,e3)
      | e0 = op(e2,e3)
      | e3 = op(e2,e3) )
    & ( e3 = op(e2,e2)
      | e0 = op(e2,e2)
      | e1 = op(e2,e2)
      | e2 = op(e2,e2) )
    & ( e2 = op(e3,e0)
      | e0 = op(e3,e0)
      | e1 = op(e3,e0)
      | e3 = op(e3,e0) )
    & ( e0 = op(e0,e1)
      | e2 = op(e0,e1)
      | e1 = op(e0,e1)
      | e3 = op(e0,e1) )
    & ( e2 = op(e3,e2)
      | e1 = op(e3,e2)
      | e3 = op(e3,e2)
      | e0 = op(e3,e2) )
    & ( e0 = op(e0,e2)
      | e1 = op(e0,e2)
      | e2 = op(e0,e2)
      | e3 = op(e0,e2) )
    & ( e1 = op(e0,e3)
      | e2 = op(e0,e3)
      | e3 = op(e0,e3)
      | e0 = op(e0,e3) )
    & ( e1 = op(e3,e1)
      | e2 = op(e3,e1)
      | e3 = op(e3,e1)
      | e0 = op(e3,e1) )
    & ( e1 = op(e3,e3)
      | e0 = op(e3,e3)
      | e2 = op(e3,e3)
      | e3 = op(e3,e3) )
    & ( op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3
      | e0 = op(e0,e0) )
    & ( e2 = op(e1,e1)
      | e0 = op(e1,e1)
      | e1 = op(e1,e1)
      | e3 = op(e1,e1) )
    & ( e2 = op(e2,e1)
      | e3 = op(e2,e1)
      | e1 = op(e2,e1)
      | e0 = op(e2,e1) )
    & ( e1 = op(e1,e3)
      | e0 = op(e1,e3)
      | e2 = op(e1,e3)
      | e3 = op(e1,e3) )
    & ( e3 = op(e2,e0)
      | e1 = op(e2,e0)
      | e0 = op(e2,e0)
      | e2 = op(e2,e0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f703,plain,
    ( spl4_87
    | spl4_40
    | spl4_55
    | spl4_60 ),
    inference(avatar_split_clause,[],[f142,f501,f476,f403,f653]) ).

fof(f142,plain,
    ( e1 = op(e0,e1)
    | e3 = op(e0,e1)
    | e2 = op(e0,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f702,plain,
    ( spl4_46
    | spl4_45
    | spl4_37
    | spl4_9 ),
    inference(avatar_split_clause,[],[f74,f264,f389,f429,f433]) ).

fof(f429,plain,
    ( spl4_45
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).

fof(f74,plain,
    ( e1 = op(e2,e2)
    | e1 = op(e3,e3)
    | sP0
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ( ( ( e3 = op(e1,e1)
        & e1 != op(e3,e3) )
      | ( e3 != op(e3,e3)
        & e3 = op(e3,e3) )
      | ( e2 != op(e3,e3)
        & e3 = op(e2,e2) )
      | sP3 )
    & ( ( e2 = op(e1,e1)
        & e1 != op(e2,e2) )
      | ( e2 != op(e2,e2)
        & e2 = op(e2,e2) )
      | ( e3 != op(e2,e2)
        & e2 = op(e3,e3) )
      | sP2 )
    & ( ( e0 = op(e2,e2)
        & op(e0,e0) != e2 )
      | ( e0 = op(e3,e3)
        & op(e0,e0) != e3 )
      | ( op(e0,e0) != e1
        & e0 = op(e1,e1) )
      | sP1 )
    & ( ( e2 != op(e1,e1)
        & e1 = op(e2,e2) )
      | ( e3 != op(e1,e1)
        & e1 = op(e3,e3) )
      | ( e1 != op(e1,e1)
        & e1 = op(e1,e1) )
      | sP0 ) ),
    inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).

fof(f54,plain,
    ( ( op(e0,e0) = e1
      & e0 != op(e1,e1) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f55,plain,
    ( ( e0 != op(e0,e0)
      & e0 = op(e0,e0) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f56,plain,
    ( ( e0 != op(e2,e2)
      & op(e0,e0) = e2 )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f57,plain,
    ( ( op(e0,e0) = e3
      & e0 != op(e3,e3) )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f5,axiom,
    ( ( ( e3 = op(e1,e1)
        & e1 != op(e3,e3) )
      | ( e3 != op(e3,e3)
        & e3 = op(e3,e3) )
      | ( e2 != op(e3,e3)
        & e3 = op(e2,e2) )
      | ( op(e0,e0) = e3
        & e0 != op(e3,e3) ) )
    & ( ( e2 = op(e1,e1)
        & e1 != op(e2,e2) )
      | ( e2 != op(e2,e2)
        & e2 = op(e2,e2) )
      | ( e3 != op(e2,e2)
        & e2 = op(e3,e3) )
      | ( e0 != op(e2,e2)
        & op(e0,e0) = e2 ) )
    & ( ( e0 = op(e2,e2)
        & op(e0,e0) != e2 )
      | ( e0 = op(e3,e3)
        & op(e0,e0) != e3 )
      | ( op(e0,e0) != e1
        & e0 = op(e1,e1) )
      | ( e0 != op(e0,e0)
        & e0 = op(e0,e0) ) )
    & ( ( e2 != op(e1,e1)
        & e1 = op(e2,e2) )
      | ( e3 != op(e1,e1)
        & e1 = op(e3,e3) )
      | ( e1 != op(e1,e1)
        & e1 = op(e1,e1) )
      | ( op(e0,e0) = e1
        & e0 != op(e1,e1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f695,plain,
    ( spl4_88
    | spl4_73
    | spl4_59
    | spl4_35 ),
    inference(avatar_split_clause,[],[f138,f379,f497,f566,f661]) ).

fof(f138,plain,
    ( e2 = op(e3,e1)
    | e1 = op(e3,e1)
    | e3 = op(e3,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f692,plain,
    ( spl4_34
    | spl4_39
    | spl4_90
    | spl4_78 ),
    inference(avatar_split_clause,[],[f141,f598,f674,f398,f375]) ).

fof(f141,plain,
    ( e0 = op(e3,e2)
    | e1 = op(e3,e2)
    | e3 = op(e3,e2)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f690,plain,
    ( spl4_8
    | spl4_33
    | spl4_7
    | spl4_10 ),
    inference(avatar_split_clause,[],[f94,f268,f256,f370,f260]) ).

fof(f256,plain,
    ( spl4_7
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f268,plain,
    ( spl4_10
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f94,plain,
    ( sP2
    | e2 = op(e2,e2)
    | e2 = op(e1,e1)
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f688,plain,
    ( ~ spl4_83
    | ~ spl4_37
    | ~ spl4_76 ),
    inference(avatar_split_clause,[],[f125,f586,f389,f624]) ).

fof(f125,plain,
    ( e0 != op(op(e3,e3),e3)
    | e1 != op(e3,e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( e1 != op(e3,e3)
    | e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(op(e3,e3),e3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e2 = op(op(e3,e3),op(e3,e3))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f685,plain,
    ( spl4_50
    | spl4_91
    | spl4_47
    | spl4_25 ),
    inference(avatar_split_clause,[],[f209,f333,f439,f678,f452]) ).

fof(f209,plain,
    ( op(e0,e0) = e1
    | e1 = op(e1,e0)
    | e1 = op(e3,e0)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( ( e3 = op(e1,e3)
      | e3 = op(e1,e1)
      | e3 = op(e1,e2)
      | e3 = op(e1,e0) )
    & ( e0 = op(e2,e0)
      | e0 = op(e2,e1)
      | e0 = op(e2,e2)
      | e0 = op(e2,e3) )
    & ( e2 = op(e3,e0)
      | e2 = op(e3,e3)
      | e2 = op(e3,e1)
      | e2 = op(e3,e2) )
    & ( e2 = op(e2,e3)
      | e2 = op(e3,e3)
      | e2 = op(e0,e3)
      | e2 = op(e1,e3) )
    & ( e2 = op(e1,e0)
      | e2 = op(e1,e3)
      | e2 = op(e1,e1)
      | e2 = op(e1,e2) )
    & ( e0 = op(e0,e1)
      | e0 = op(e2,e1)
      | e0 = op(e3,e1)
      | e0 = op(e1,e1) )
    & ( e3 = op(e2,e2)
      | e3 = op(e0,e2)
      | e3 = op(e1,e2)
      | e3 = op(e3,e2) )
    & ( e3 = op(e0,e3)
      | e3 = op(e0,e1)
      | e3 = op(e0,e2)
      | op(e0,e0) = e3 )
    & ( e2 = op(e0,e1)
      | e2 = op(e1,e1)
      | e2 = op(e2,e1)
      | e2 = op(e3,e1) )
    & ( e1 = op(e2,e2)
      | e1 = op(e1,e2)
      | e1 = op(e0,e2)
      | e1 = op(e3,e2) )
    & ( e0 = op(e3,e3)
      | e0 = op(e3,e0)
      | e0 = op(e3,e1)
      | e0 = op(e3,e2) )
    & ( e2 = op(e0,e1)
      | e2 = op(e0,e3)
      | op(e0,e0) = e2
      | e2 = op(e0,e2) )
    & ( op(e0,e0) = e3
      | e3 = op(e1,e0)
      | e3 = op(e2,e0)
      | e3 = op(e3,e0) )
    & ( e3 = op(e3,e0)
      | e3 = op(e3,e3)
      | e3 = op(e3,e1)
      | e3 = op(e3,e2) )
    & ( e2 = op(e2,e1)
      | e2 = op(e2,e2)
      | e2 = op(e2,e3)
      | e2 = op(e2,e0) )
    & ( e2 = op(e0,e2)
      | e2 = op(e3,e2)
      | e2 = op(e1,e2)
      | e2 = op(e2,e2) )
    & ( e1 = op(e2,e3)
      | e1 = op(e1,e3)
      | e1 = op(e3,e3)
      | e1 = op(e0,e3) )
    & ( e1 = op(e2,e1)
      | e1 = op(e3,e1)
      | e1 = op(e1,e1)
      | e1 = op(e0,e1) )
    & ( e3 = op(e1,e3)
      | e3 = op(e2,e3)
      | e3 = op(e3,e3)
      | e3 = op(e0,e3) )
    & ( e1 = op(e3,e0)
      | e1 = op(e2,e0)
      | op(e0,e0) = e1
      | e1 = op(e1,e0) )
    & ( e0 = op(e1,e3)
      | e0 = op(e1,e1)
      | e0 = op(e1,e0)
      | e0 = op(e1,e2) )
    & ( e0 = op(e0,e3)
      | e0 = op(e0,e0)
      | e0 = op(e0,e2)
      | e0 = op(e0,e1) )
    & ( op(e0,e0) = e2
      | e2 = op(e3,e0)
      | e2 = op(e2,e0)
      | e2 = op(e1,e0) )
    & ( e1 = op(e1,e3)
      | e1 = op(e1,e1)
      | e1 = op(e1,e0)
      | e1 = op(e1,e2) )
    & ( e1 = op(e3,e2)
      | e1 = op(e3,e1)
      | e1 = op(e3,e0)
      | e1 = op(e3,e3) )
    & ( e0 = op(e0,e2)
      | e0 = op(e1,e2)
      | e0 = op(e2,e2)
      | e0 = op(e3,e2) )
    & ( e3 = op(e2,e1)
      | e3 = op(e2,e0)
      | e3 = op(e2,e2)
      | e3 = op(e2,e3) )
    & ( op(e0,e0) = e1
      | e1 = op(e0,e1)
      | e1 = op(e0,e2)
      | e1 = op(e0,e3) )
    & ( e1 = op(e2,e1)
      | e1 = op(e2,e3)
      | e1 = op(e2,e2)
      | e1 = op(e2,e0) )
    & ( e3 = op(e3,e1)
      | e3 = op(e0,e1)
      | e3 = op(e1,e1)
      | e3 = op(e2,e1) )
    & ( e0 = op(e3,e0)
      | e0 = op(e2,e0)
      | e0 = op(e0,e0)
      | e0 = op(e1,e0) )
    & ( e0 = op(e2,e3)
      | e0 = op(e0,e3)
      | e0 = op(e1,e3)
      | e0 = op(e3,e3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f682,plain,
    ( spl4_2
    | spl4_36
    | spl4_28
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f98,f389,f347,f384,f234]) ).

fof(f234,plain,
    ( spl4_2
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f98,plain,
    ( e1 != op(e3,e3)
    | e3 = op(e2,e2)
    | e3 = op(e3,e3)
    | sP3 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f681,plain,
    ( spl4_37
    | spl4_90
    | spl4_91
    | spl4_59 ),
    inference(avatar_split_clause,[],[f204,f497,f678,f674,f389]) ).

fof(f204,plain,
    ( e1 = op(e3,e1)
    | e1 = op(e3,e0)
    | e1 = op(e3,e2)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f672,plain,
    ( spl4_12
    | spl4_88
    | spl4_89
    | spl4_78 ),
    inference(avatar_split_clause,[],[f218,f598,f669,f661,f277]) ).

fof(f218,plain,
    ( e0 = op(e3,e2)
    | e0 = op(e3,e0)
    | e0 = op(e3,e1)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f667,plain,
    ( spl4_18
    | spl4_56
    | spl4_28
    | spl4_85 ),
    inference(avatar_split_clause,[],[f202,f634,f347,f481,f303]) ).

fof(f202,plain,
    ( e3 = op(e2,e1)
    | e3 = op(e2,e2)
    | e3 = op(e2,e0)
    | e3 = op(e2,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f659,plain,
    ( spl4_22
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f70,f316,f320]) ).

fof(f320,plain,
    ( spl4_22
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

fof(f316,plain,
    ( spl4_21
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

fof(f70,plain,
    ( ~ sP1
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ( e0 != op(e0,e0)
      & e0 = op(e0,e0) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f55]) ).

fof(f658,plain,
    ( ~ spl4_65
    | ~ spl4_74
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f110,f342,f572,f524]) ).

fof(f110,plain,
    ( op(e0,e0) != e2
    | e3 != op(op(e0,e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e2
    | e1 != op(op(e0,e0),e0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ~ ( op(e0,e0) = e2
      & e3 = op(op(e0,e0),op(e0,e0))
      & e1 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f649,plain,
    ( spl4_15
    | spl4_2
    | spl4_28
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f104,f384,f347,f234,f290]) ).

fof(f104,plain,
    ( e3 != op(e3,e3)
    | e3 = op(e2,e2)
    | sP3
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f648,plain,
    ( spl4_11
    | spl4_14
    | spl4_71
    | spl4_67 ),
    inference(avatar_split_clause,[],[f133,f535,f556,f286,f273]) ).

fof(f133,plain,
    ( e1 = op(e1,e3)
    | e2 = op(e1,e3)
    | e3 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f647,plain,
    ( ~ spl4_68
    | ~ spl4_28
    | ~ spl4_86 ),
    inference(avatar_split_clause,[],[f113,f644,f347,f540]) ).

fof(f113,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(op(e2,e2),e2) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( e0 != op(op(e2,e2),e2)
    | e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ~ ( e0 = op(op(e2,e2),e2)
      & e3 = op(e2,e2)
      & e1 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f642,plain,
    ( spl4_12
    | spl4_29
    | spl4_21
    | spl4_26 ),
    inference(avatar_split_clause,[],[f88,f338,f316,f351,f277]) ).

fof(f88,plain,
    ( e0 = op(e1,e1)
    | sP1
    | e0 = op(e2,e2)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f640,plain,
    ( ~ spl4_84
    | ~ spl4_8
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f129,f422,f260,f628]) ).

fof(f129,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,e3)
    | e1 != op(op(e3,e3),e3) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ~ ( e0 = op(op(e3,e3),op(e3,e3))
      & e2 = op(e3,e3)
      & e1 = op(op(e3,e3),e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f639,plain,
    ( spl4_85
    | spl4_55
    | spl4_15
    | spl4_73 ),
    inference(avatar_split_clause,[],[f199,f566,f290,f476,f634]) ).

fof(f199,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f637,plain,
    ( spl4_85
    | spl4_49
    | spl4_41
    | spl4_51 ),
    inference(avatar_split_clause,[],[f134,f457,f407,f448,f634]) ).

fof(f134,plain,
    ( e0 = op(e2,e1)
    | e2 = op(e2,e1)
    | e1 = op(e2,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f631,plain,
    ( ~ spl4_83
    | ~ spl4_12
    | ~ spl4_84 ),
    inference(avatar_split_clause,[],[f196,f628,f277,f624]) ).

fof(f196,plain,
    ( e1 != op(op(e3,e3),e3)
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( e1 = op(op(e3,e3),e3)
      & e0 = op(e3,e3)
      & e2 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f622,plain,
    ( ~ spl4_81
    | ~ spl4_82
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f122,f370,f619,f615]) ).

fof(f122,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( e0 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ~ ( e0 = op(op(e1,e1),e1)
      & e3 = op(op(e1,e1),op(e1,e1))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f613,plain,
    ( ~ spl4_45
    | spl4_25 ),
    inference(avatar_split_clause,[],[f73,f333,f429]) ).

fof(f73,plain,
    ( op(e0,e0) = e1
    | ~ sP0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( ( op(e0,e0) = e1
      & e0 != op(e1,e1) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f54]) ).

fof(f612,plain,
    ( ~ spl4_8
    | spl4_36
    | spl4_2
    | spl4_15 ),
    inference(avatar_split_clause,[],[f103,f290,f234,f384,f260]) ).

fof(f103,plain,
    ( e3 = op(e1,e1)
    | sP3
    | e3 = op(e3,e3)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f611,plain,
    ( ~ spl4_80
    | ~ spl4_15
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f114,f467,f290,f608]) ).

fof(f114,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(op(e1,e1),e1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | e2 != op(op(e1,e1),e1)
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ~ ( e0 = op(op(e1,e1),op(e1,e1))
      & e3 = op(e1,e1)
      & e2 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f592,plain,
    ( spl4_36
    | spl4_37
    | spl4_12
    | spl4_8 ),
    inference(avatar_split_clause,[],[f137,f260,f277,f389,f384]) ).

fof(f137,plain,
    ( e2 = op(e3,e3)
    | e0 = op(e3,e3)
    | e1 = op(e3,e3)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f591,plain,
    ( ~ spl4_33
    | spl4_45
    | spl4_46
    | spl4_37 ),
    inference(avatar_split_clause,[],[f78,f389,f433,f429,f370]) ).

fof(f78,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e1,e1)
    | sP0
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f589,plain,
    ( ~ spl4_8
    | ~ spl4_75
    | ~ spl4_76 ),
    inference(avatar_split_clause,[],[f121,f586,f582,f260]) ).

fof(f121,plain,
    ( e0 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ( e0 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,e3) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ~ ( e0 = op(op(e3,e3),e3)
      & e1 = op(op(e3,e3),op(e3,e3))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f578,plain,
    ( ~ spl4_28
    | ~ spl4_64
    | ~ spl4_62 ),
    inference(avatar_split_clause,[],[f109,f510,f519,f347]) ).

fof(f109,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(e2,e2),e2)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ~ ( e3 = op(e2,e2)
      & e0 = op(op(e2,e2),op(e2,e2))
      & e1 = op(op(e2,e2),e2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f577,plain,
    ( spl4_12
    | ~ spl4_25
    | spl4_29
    | spl4_21 ),
    inference(avatar_split_clause,[],[f89,f316,f351,f333,f277]) ).

fof(f89,plain,
    ( sP1
    | e0 = op(e2,e2)
    | op(e0,e0) != e1
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f549,plain,
    ( spl4_27
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f68,f268,f342]) ).

fof(f68,plain,
    ( ~ sP2
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( e0 != op(e2,e2)
      & op(e0,e0) = e2 )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f56]) ).

fof(f527,plain,
    ( ~ spl4_65
    | ~ spl4_23
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f111,f230,f325,f524]) ).

fof(f111,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),op(e0,e0))
    | e1 != op(op(e0,e0),e0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( e1 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3 ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ~ ( e2 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e3
      & e1 = op(op(e0,e0),e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f486,plain,
    ( ~ spl4_12
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f66,f234,f277]) ).

fof(f66,plain,
    ( ~ sP3
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ( ( op(e0,e0) = e3
      & e0 != op(e3,e3) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f57]) ).

fof(f485,plain,
    ( spl4_9
    | ~ spl4_46
    | spl4_37
    | spl4_45 ),
    inference(avatar_split_clause,[],[f75,f429,f389,f433,f264]) ).

fof(f75,plain,
    ( sP0
    | e1 = op(e3,e3)
    | e1 != op(e1,e1)
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f479,plain,
    ( spl4_4
    | spl4_55
    | spl4_1
    | spl4_38 ),
    inference(avatar_split_clause,[],[f221,f394,f230,f476,f243]) ).

fof(f221,plain,
    ( e3 = op(e0,e2)
    | op(e0,e0) = e3
    | e3 = op(e0,e1)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f474,plain,
    ( ~ spl4_53
    | ~ spl4_33
    | ~ spl4_54 ),
    inference(avatar_split_clause,[],[f127,f471,f370,f467]) ).

fof(f127,plain,
    ( e3 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( e3 != op(op(e1,e1),e1)
    | e2 != op(e1,e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ~ ( e2 = op(e1,e1)
      & e0 = op(op(e1,e1),op(e1,e1))
      & e3 = op(op(e1,e1),e1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f401,plain,
    ( spl4_28
    | spl4_16
    | spl4_38
    | spl4_39 ),
    inference(avatar_split_clause,[],[f222,f398,f394,f294,f347]) ).

fof(f222,plain,
    ( e3 = op(e3,e2)
    | e3 = op(e0,e2)
    | e3 = op(e1,e2)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f387,plain,
    ( spl4_15
    | spl4_2
    | spl4_36
    | spl4_28 ),
    inference(avatar_split_clause,[],[f102,f347,f384,f234,f290]) ).

fof(f102,plain,
    ( e3 = op(e2,e2)
    | e3 = op(e3,e3)
    | sP3
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f382,plain,
    ( spl4_34
    | spl4_35
    | spl4_31
    | spl4_8 ),
    inference(avatar_split_clause,[],[f226,f260,f361,f379,f375]) ).

fof(f226,plain,
    ( e2 = op(e3,e3)
    | e2 = op(e3,e0)
    | e2 = op(e3,e1)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f373,plain,
    ( spl4_33
    | ~ spl4_7
    | spl4_8
    | spl4_10 ),
    inference(avatar_split_clause,[],[f96,f268,f260,f256,f370]) ).

fof(f96,plain,
    ( sP2
    | e2 = op(e3,e3)
    | e2 != op(e2,e2)
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f345,plain,
    ( spl4_26
    | spl4_12
    | spl4_21
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f84,f342,f316,f277,f338]) ).

fof(f84,plain,
    ( op(e0,e0) != e2
    | sP1
    | e0 = op(e3,e3)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f323,plain,
    ( ~ spl4_21
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f71,f320,f316]) ).

fof(f71,plain,
    ( e0 != op(e0,e0)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f314,plain,
    ( spl4_13
    | spl4_18
    | spl4_19
    | spl4_20 ),
    inference(avatar_split_clause,[],[f145,f311,f307,f303,f281]) ).

fof(f145,plain,
    ( e2 = op(e2,e3)
    | e1 = op(e2,e3)
    | e3 = op(e2,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f254,plain,
    ( spl4_3
    | spl4_4
    | spl4_5
    | spl4_6 ),
    inference(avatar_split_clause,[],[f139,f251,f247,f243,f239]) ).

fof(f139,plain,
    ( e0 = op(e0,e3)
    | e1 = op(e0,e3)
    | e3 = op(e0,e3)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f237,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f67,f234,f230]) ).

fof(f67,plain,
    ( ~ sP3
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ALG139+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n028.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   : Mon Aug 29 15:05:02 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.52  % (25346)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52  % (25335)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52  % (25338)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (25331)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53  % (25331)Refutation not found, incomplete strategy% (25331)------------------------------
% 0.20/0.53  % (25331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (25338)Instruction limit reached!
% 0.20/0.54  % (25338)------------------------------
% 0.20/0.54  % (25338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (25338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (25338)Termination reason: Unknown
% 0.20/0.54  % (25338)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (25338)Memory used [KB]: 6140
% 0.20/0.54  % (25338)Time elapsed: 0.011 s
% 0.20/0.54  % (25338)Instructions burned: 7 (million)
% 0.20/0.54  % (25338)------------------------------
% 0.20/0.54  % (25338)------------------------------
% 0.20/0.54  % (25346)Refutation not found, incomplete strategy% (25346)------------------------------
% 0.20/0.54  % (25346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (25331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (25331)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (25335)Refutation not found, incomplete strategy% (25335)------------------------------
% 0.20/0.54  % (25335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (25335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (25335)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (25335)Memory used [KB]: 1663
% 0.20/0.54  % (25335)Time elapsed: 0.014 s
% 0.20/0.54  % (25335)Instructions burned: 11 (million)
% 0.20/0.54  % (25335)------------------------------
% 0.20/0.54  % (25335)------------------------------
% 0.20/0.54  % (25331)Memory used [KB]: 5884
% 0.20/0.54  % (25331)Time elapsed: 0.004 s
% 0.20/0.54  % (25331)Instructions burned: 2 (million)
% 0.20/0.54  % (25331)------------------------------
% 0.20/0.54  % (25331)------------------------------
% 0.20/0.54  % (25346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (25346)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (25346)Memory used [KB]: 1663
% 0.20/0.54  % (25346)Time elapsed: 0.018 s
% 0.20/0.54  % (25346)Instructions burned: 10 (million)
% 0.20/0.54  % (25346)------------------------------
% 0.20/0.54  % (25346)------------------------------
% 0.20/0.54  % (25323)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.57  % (25339)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (25327)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.57  % (25327)Refutation not found, incomplete strategy% (25327)------------------------------
% 0.20/0.57  % (25327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (25327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (25327)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (25327)Memory used [KB]: 5884
% 0.20/0.57  % (25327)Time elapsed: 0.003 s
% 0.20/0.57  % (25327)Instructions burned: 2 (million)
% 0.20/0.57  % (25327)------------------------------
% 0.20/0.57  % (25327)------------------------------
% 0.20/0.57  % (25329)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.57  % (25329)Refutation not found, incomplete strategy% (25329)------------------------------
% 0.20/0.57  % (25329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (25329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (25329)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (25329)Memory used [KB]: 5884
% 0.20/0.57  % (25329)Time elapsed: 0.002 s
% 0.20/0.57  % (25329)Instructions burned: 2 (million)
% 0.20/0.57  % (25329)------------------------------
% 0.20/0.57  % (25329)------------------------------
% 0.20/0.58  % (25328)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.58  % (25326)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (25324)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.58  % (25326)Refutation not found, incomplete strategy% (25326)------------------------------
% 0.20/0.58  % (25326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (25326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (25326)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (25326)Memory used [KB]: 5884
% 0.20/0.58  % (25326)Time elapsed: 0.003 s
% 0.20/0.58  % (25326)Instructions burned: 2 (million)
% 0.20/0.58  % (25326)------------------------------
% 0.20/0.58  % (25326)------------------------------
% 0.20/0.58  % (25324)Refutation not found, incomplete strategy% (25324)------------------------------
% 0.20/0.58  % (25324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (25324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (25324)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (25324)Memory used [KB]: 5884
% 0.20/0.58  % (25324)Time elapsed: 0.003 s
% 0.20/0.58  % (25324)------------------------------
% 0.20/0.58  % (25324)------------------------------
% 0.20/0.59  % (25332)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.59  % (25332)Refutation not found, incomplete strategy% (25332)------------------------------
% 0.20/0.59  % (25332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (25332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (25332)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59  
% 0.20/0.59  % (25332)Memory used [KB]: 5884
% 0.20/0.59  % (25332)Time elapsed: 0.002 s
% 0.20/0.59  % (25332)Instructions burned: 2 (million)
% 0.20/0.59  % (25332)------------------------------
% 0.20/0.59  % (25332)------------------------------
% 0.20/0.59  % (25345)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.59  % (25333)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.59  % (25339)Refutation not found, incomplete strategy% (25339)------------------------------
% 0.20/0.59  % (25339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (25342)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.60  % (25343)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.60  % (25325)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.60  % (25350)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.60  % (25343)Refutation not found, incomplete strategy% (25343)------------------------------
% 0.20/0.60  % (25343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (25351)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.60  % (25352)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.60  % (25343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (25343)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60  
% 0.20/0.60  % (25343)Memory used [KB]: 5884
% 0.20/0.60  % (25343)Time elapsed: 0.005 s
% 0.20/0.60  % (25343)Instructions burned: 3 (million)
% 0.20/0.60  % (25343)------------------------------
% 0.20/0.60  % (25343)------------------------------
% 2.01/0.60  % (25352)Refutation not found, incomplete strategy% (25352)------------------------------
% 2.01/0.60  % (25352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.60  % (25352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.60  % (25352)Termination reason: Refutation not found, incomplete strategy
% 2.01/0.60  
% 2.01/0.60  % (25352)Memory used [KB]: 5884
% 2.01/0.60  % (25352)Time elapsed: 0.002 s
% 2.01/0.60  % (25352)Instructions burned: 1 (million)
% 2.01/0.60  % (25352)------------------------------
% 2.01/0.60  % (25352)------------------------------
% 2.01/0.61  % (25328)Refutation not found, incomplete strategy% (25328)------------------------------
% 2.01/0.61  % (25328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61  % (25328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61  % (25328)Termination reason: Refutation not found, incomplete strategy
% 2.01/0.61  
% 2.01/0.61  % (25328)Memory used [KB]: 1663
% 2.01/0.61  % (25328)Time elapsed: 0.009 s
% 2.01/0.61  % (25328)Instructions burned: 9 (million)
% 2.01/0.61  % (25328)------------------------------
% 2.01/0.61  % (25328)------------------------------
% 2.01/0.61  % (25344)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.01/0.61  % (25330)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 2.01/0.61  % (25347)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.01/0.61  % (25339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61  % (25339)Termination reason: Refutation not found, incomplete strategy
% 2.01/0.61  
% 2.01/0.61  % (25339)Memory used [KB]: 6268
% 2.01/0.61  % (25339)Time elapsed: 0.015 s
% 2.01/0.61  % (25339)Instructions burned: 15 (million)
% 2.01/0.61  % (25339)------------------------------
% 2.01/0.61  % (25339)------------------------------
% 2.01/0.61  % (25342)Refutation not found, incomplete strategy% (25342)------------------------------
% 2.01/0.61  % (25342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61  % (25342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61  % (25342)Termination reason: Refutation not found, incomplete strategy
% 2.01/0.61  
% 2.01/0.61  % (25342)Memory used [KB]: 5884
% 2.01/0.61  % (25342)Time elapsed: 0.003 s
% 2.01/0.61  % (25342)Instructions burned: 1 (million)
% 2.01/0.61  % (25342)------------------------------
% 2.01/0.61  % (25342)------------------------------
% 2.01/0.61  % (25351)Instruction limit reached!
% 2.01/0.61  % (25351)------------------------------
% 2.01/0.61  % (25351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61  % (25351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61  % (25351)Termination reason: Unknown
% 2.01/0.61  % (25351)Termination phase: Property scanning
% 2.01/0.61  
% 2.01/0.61  % (25351)Memory used [KB]: 1535
% 2.01/0.61  % (25351)Time elapsed: 0.011 s
% 2.01/0.61  % (25351)Instructions burned: 8 (million)
% 2.01/0.61  % (25351)------------------------------
% 2.01/0.61  % (25351)------------------------------
% 2.01/0.62  % (25336)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.01/0.62  % (25334)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.01/0.62  % (25337)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.01/0.62  % (25336)Refutation not found, incomplete strategy% (25336)------------------------------
% 2.01/0.62  % (25336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62  % (25336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62  % (25336)Termination reason: Refutation not found, incomplete strategy
% 2.01/0.62  
% 2.01/0.62  % (25336)Memory used [KB]: 5884
% 2.01/0.62  % (25336)Time elapsed: 0.003 s
% 2.01/0.62  % (25336)Instructions burned: 2 (million)
% 2.01/0.62  % (25336)------------------------------
% 2.01/0.62  % (25336)------------------------------
% 2.01/0.62  % (25337)Instruction limit reached!
% 2.01/0.62  % (25337)------------------------------
% 2.01/0.62  % (25337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62  % (25337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62  % (25337)Termination reason: Unknown
% 2.01/0.62  % (25337)Termination phase: Property scanning
% 2.01/0.62  
% 2.01/0.62  % (25337)Memory used [KB]: 1407
% 2.01/0.62  % (25337)Time elapsed: 0.003 s
% 2.01/0.62  % (25337)Instructions burned: 3 (million)
% 2.01/0.62  % (25337)------------------------------
% 2.01/0.62  % (25337)------------------------------
% 2.01/0.62  % (25348)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 2.01/0.62  % (25330)Refutation not found, incomplete strategy% (25330)------------------------------
% 2.01/0.62  % (25330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.62  % (25330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.62  % (25330)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.62  
% 2.17/0.62  % (25330)Memory used [KB]: 6268
% 2.17/0.62  % (25330)Time elapsed: 0.018 s
% 2.17/0.62  % (25330)Instructions burned: 12 (million)
% 2.17/0.62  % (25330)------------------------------
% 2.17/0.62  % (25330)------------------------------
% 2.17/0.62  % (25340)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.17/0.62  % (25325)Instruction limit reached!
% 2.17/0.62  % (25325)------------------------------
% 2.17/0.62  % (25325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.62  % (25325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.62  % (25325)Termination reason: Unknown
% 2.17/0.62  % (25325)Termination phase: Property scanning
% 2.17/0.62  
% 2.17/0.62  % (25325)Memory used [KB]: 1407
% 2.17/0.62  % (25325)Time elapsed: 0.005 s
% 2.17/0.62  % (25325)Instructions burned: 4 (million)
% 2.17/0.62  % (25325)------------------------------
% 2.17/0.62  % (25325)------------------------------
% 2.17/0.63  % (25340)Instruction limit reached!
% 2.17/0.63  % (25340)------------------------------
% 2.17/0.63  % (25340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (25340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (25340)Termination reason: Unknown
% 2.17/0.63  % (25340)Termination phase: Property scanning
% 2.17/0.63  
% 2.17/0.63  % (25340)Memory used [KB]: 1535
% 2.17/0.63  % (25340)Time elapsed: 0.004 s
% 2.17/0.63  % (25340)Instructions burned: 3 (million)
% 2.17/0.63  % (25340)------------------------------
% 2.17/0.63  % (25340)------------------------------
% 2.17/0.63  % (25333)Refutation not found, incomplete strategy% (25333)------------------------------
% 2.17/0.63  % (25333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (25333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (25333)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.63  
% 2.17/0.63  % (25333)Memory used [KB]: 6140
% 2.17/0.63  % (25333)Time elapsed: 0.010 s
% 2.17/0.63  % (25333)Instructions burned: 11 (million)
% 2.17/0.63  % (25333)------------------------------
% 2.17/0.63  % (25333)------------------------------
% 2.17/0.63  % (25334)Instruction limit reached!
% 2.17/0.63  % (25334)------------------------------
% 2.17/0.63  % (25334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (25349)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.17/0.63  % (25341)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.17/0.63  % (25341)Refutation not found, incomplete strategy% (25341)------------------------------
% 2.17/0.63  % (25341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (25341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (25341)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.63  
% 2.17/0.63  % (25341)Memory used [KB]: 5884
% 2.17/0.63  % (25341)Time elapsed: 0.005 s
% 2.17/0.63  % (25341)Instructions burned: 1 (million)
% 2.17/0.63  % (25341)------------------------------
% 2.17/0.63  % (25341)------------------------------
% 2.17/0.63  % (25344)Refutation not found, incomplete strategy% (25344)------------------------------
% 2.17/0.63  % (25344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63  % (25344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63  % (25344)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.63  
% 2.17/0.63  % (25344)Memory used [KB]: 6140
% 2.17/0.63  % (25344)Time elapsed: 0.010 s
% 2.17/0.63  % (25344)Instructions burned: 11 (million)
% 2.17/0.63  % (25344)------------------------------
% 2.17/0.63  % (25344)------------------------------
% 2.17/0.64  % (25334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.64  % (25334)Termination reason: Unknown
% 2.17/0.64  % (25334)Termination phase: Saturation
% 2.17/0.64  
% 2.17/0.64  % (25334)Memory used [KB]: 6140
% 2.17/0.64  % (25334)Time elapsed: 0.008 s
% 2.17/0.64  % (25334)Instructions burned: 7 (million)
% 2.17/0.64  % (25334)------------------------------
% 2.17/0.64  % (25334)------------------------------
% 2.17/0.65  % (25350)Instruction limit reached!
% 2.17/0.65  % (25350)------------------------------
% 2.17/0.65  % (25350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65  % (25350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65  % (25350)Termination reason: Unknown
% 2.17/0.65  % (25350)Termination phase: Saturation
% 2.17/0.65  
% 2.17/0.65  % (25350)Memory used [KB]: 6396
% 2.17/0.65  % (25350)Time elapsed: 0.218 s
% 2.17/0.65  % (25350)Instructions burned: 25 (million)
% 2.17/0.65  % (25350)------------------------------
% 2.17/0.65  % (25350)------------------------------
% 2.17/0.65  % (25347)Refutation not found, incomplete strategy% (25347)------------------------------
% 2.17/0.65  % (25347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65  % (25347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65  % (25347)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.65  
% 2.17/0.65  % (25347)Memory used [KB]: 6396
% 2.17/0.65  % (25347)Time elapsed: 0.239 s
% 2.17/0.65  % (25347)Instructions burned: 15 (million)
% 2.17/0.65  % (25347)------------------------------
% 2.17/0.65  % (25347)------------------------------
% 2.17/0.65  % (25349)Refutation not found, incomplete strategy% (25349)------------------------------
% 2.17/0.65  % (25349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.66  % (25349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66  % (25349)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.66  
% 2.17/0.66  % (25349)Memory used [KB]: 6268
% 2.17/0.66  % (25349)Time elapsed: 0.026 s
% 2.17/0.66  % (25349)Instructions burned: 16 (million)
% 2.17/0.66  % (25349)------------------------------
% 2.17/0.66  % (25349)------------------------------
% 2.39/0.70  % (25323)First to succeed.
% 2.48/0.73  % (25348)Also succeeded, but the first one will report.
% 2.48/0.73  % (25323)Refutation found. Thanks to Tanya!
% 2.48/0.73  % SZS status Unsatisfiable for theBenchmark
% 2.48/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.74  % (25323)------------------------------
% 2.48/0.74  % (25323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.74  % (25323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.74  % (25323)Termination reason: Refutation
% 2.48/0.74  
% 2.48/0.74  % (25323)Memory used [KB]: 7036
% 2.48/0.74  % (25323)Time elapsed: 0.294 s
% 2.48/0.74  % (25323)Instructions burned: 75 (million)
% 2.48/0.74  % (25323)------------------------------
% 2.48/0.74  % (25323)------------------------------
% 2.48/0.74  % (25322)Success in time 0.375 s
%------------------------------------------------------------------------------