TSTP Solution File: GRP357-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP357-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 May  1 02:28:40 EDT 2024

% Result   : Unsatisfiable 1.04s 0.84s
% Output   : Refutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  434 (  37 unt;   0 def)
%            Number of atoms       : 1608 ( 367 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 2207 (1033   ~;1153   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   32 (  30 usr;  22 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  20 con; 0-2 aty)
%            Number of variables   :  120 ( 120   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2030,plain,
    $false,
    inference(avatar_sat_refutation,[],[f98,f103,f108,f113,f118,f123,f128,f129,f130,f131,f132,f133,f138,f139,f140,f141,f142,f143,f148,f149,f150,f151,f152,f153,f158,f159,f160,f161,f162,f163,f185,f247,f255,f364,f392,f432,f443,f622,f635,f888,f903,f931,f1128,f1463,f1530,f1690,f1874,f1938,f1989,f1994,f2017]) ).

fof(f2017,plain,
    ( ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_29 ),
    inference(avatar_contradiction_clause,[],[f2016]) ).

fof(f2016,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_29 ),
    inference(subsumption_resolution,[],[f2015,f35]) ).

fof(f35,plain,
    ~ sP0(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f2015,plain,
    ( sP0(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_29 ),
    inference(forward_demodulation,[],[f1127,f1949]) ).

fof(f1949,plain,
    ( sk_c8 = sk_c2
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1745,f1762]) ).

fof(f1762,plain,
    ( sk_c6 = sk_c8
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f441,f1755]) ).

fof(f1755,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f1731,f1734]) ).

fof(f1734,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f908,f1722]) ).

fof(f1722,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f1,f1721]) ).

fof(f1721,plain,
    ( identity = sk_c8
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(forward_demodulation,[],[f1719,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',left_inverse) ).

fof(f1719,plain,
    ( sk_c8 = multiply(inverse(sk_c2),sk_c2)
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(superposition,[],[f209,f1283]) ).

fof(f1283,plain,
    ( sk_c2 = multiply(sk_c2,sk_c8)
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(forward_demodulation,[],[f1252,f907]) ).

fof(f907,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f74,f147]) ).

fof(f147,plain,
    ( sk_c2 = sF18
    | ~ spl20_10 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f145,plain,
    ( spl20_10
  <=> sk_c2 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).

fof(f74,plain,
    inverse(sk_c1) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f1252,plain,
    ( sk_c2 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl20_9 ),
    inference(superposition,[],[f209,f401]) ).

fof(f401,plain,
    ( sk_c8 = multiply(sk_c1,sk_c2)
    | ~ spl20_9 ),
    inference(backward_demodulation,[],[f67,f137]) ).

fof(f137,plain,
    ( sk_c8 = sF17
    | ~ spl20_9 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl20_9
  <=> sk_c8 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f67,plain,
    multiply(sk_c1,sk_c2) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f209,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f198,f1]) ).

fof(f198,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',associativity) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',left_identity) ).

fof(f908,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f393,f127]) ).

fof(f127,plain,
    ( sk_c6 = sF16
    | ~ spl20_8 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl20_8
  <=> sk_c6 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).

fof(f393,plain,
    ! [X0] : multiply(sF16,multiply(sk_c8,X0)) = X0,
    inference(forward_demodulation,[],[f349,f1]) ).

fof(f349,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF16,multiply(sk_c8,X0)),
    inference(superposition,[],[f3,f192]) ).

fof(f192,plain,
    identity = multiply(sF16,sk_c8),
    inference(superposition,[],[f2,f60]) ).

fof(f60,plain,
    inverse(sk_c8) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f1731,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f440,f1722]) ).

fof(f440,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
    | ~ spl20_1 ),
    inference(forward_demodulation,[],[f199,f93]) ).

fof(f93,plain,
    ( sk_c8 = sF10
    | ~ spl20_1 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl20_1
  <=> sk_c8 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).

fof(f199,plain,
    ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sF10,X0),
    inference(superposition,[],[f3,f48]) ).

fof(f48,plain,
    multiply(sk_c7,sk_c6) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f441,plain,
    ( multiply(sk_c7,sk_c6) = sk_c8
    | ~ spl20_1 ),
    inference(forward_demodulation,[],[f48,f93]) ).

fof(f1745,plain,
    ( sk_c6 = sk_c2
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1664,f1722]) ).

fof(f1664,plain,
    ( sk_c2 = multiply(sk_c8,sk_c6)
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f682,f1283]) ).

fof(f682,plain,
    ( multiply(sk_c2,sk_c8) = multiply(sk_c8,sk_c6)
    | ~ spl20_1
    | ~ spl20_11 ),
    inference(superposition,[],[f397,f441]) ).

fof(f397,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f206,f157]) ).

fof(f157,plain,
    ( sk_c8 = sF19
    | ~ spl20_11 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl20_11
  <=> sk_c8 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).

fof(f206,plain,
    ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sF19,X0),
    inference(superposition,[],[f3,f81]) ).

fof(f81,plain,
    multiply(sk_c2,sk_c7) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f1127,plain,
    ( sP0(sk_c2)
    | ~ spl20_29 ),
    inference(avatar_component_clause,[],[f1125]) ).

fof(f1125,plain,
    ( spl20_29
  <=> sP0(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).

fof(f1994,plain,
    ( ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_28 ),
    inference(avatar_contradiction_clause,[],[f1993]) ).

fof(f1993,plain,
    ( $false
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_28 ),
    inference(subsumption_resolution,[],[f36,f1925]) ).

fof(f1925,plain,
    ( sP1(sk_c7)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_28 ),
    inference(forward_demodulation,[],[f1924,f1923]) ).

fof(f1923,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1920,f1922]) ).

fof(f1922,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1886,f1722]) ).

fof(f1886,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c1,X0)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1166,f1722]) ).

fof(f1166,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(superposition,[],[f814,f397]) ).

fof(f814,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c2,X0))
    | ~ spl20_9 ),
    inference(superposition,[],[f3,f401]) ).

fof(f1920,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1167,f1722]) ).

fof(f1167,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c1,sk_c8)
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(superposition,[],[f814,f396]) ).

fof(f396,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f81,f157]) ).

fof(f1924,plain,
    ( sP1(multiply(sk_c7,sk_c8))
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_28 ),
    inference(forward_demodulation,[],[f1881,f1922]) ).

fof(f1881,plain,
    ( sP1(multiply(sk_c1,sk_c8))
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_28 ),
    inference(forward_demodulation,[],[f1123,f1722]) ).

fof(f1123,plain,
    ( sP1(multiply(sk_c8,multiply(sk_c1,sk_c8)))
    | ~ spl20_28 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1121,plain,
    ( spl20_28
  <=> sP1(multiply(sk_c8,multiply(sk_c1,sk_c8))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).

fof(f36,plain,
    ~ sP1(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f1989,plain,
    ( ~ spl20_1
    | spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f1988,plain,
    ( $false
    | ~ spl20_1
    | spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f1987,f1935]) ).

fof(f1935,plain,
    ( sk_c7 != sk_c8
    | ~ spl20_1
    | spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f1919,f1762]) ).

fof(f1919,plain,
    ( sk_c7 != sk_c6
    | spl20_2
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f96,f1898]) ).

fof(f1898,plain,
    ( sk_c7 = sF9
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(forward_demodulation,[],[f47,f1722]) ).

fof(f47,plain,
    multiply(sk_c8,sk_c7) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f96,plain,
    ( sk_c6 != sF9
    | spl20_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl20_2
  <=> sk_c6 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f1987,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1986,f1722]) ).

fof(f1986,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f396,f1949]) ).

fof(f1938,plain,
    ( ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_23 ),
    inference(avatar_contradiction_clause,[],[f1937]) ).

fof(f1937,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_23 ),
    inference(subsumption_resolution,[],[f1932,f37]) ).

fof(f37,plain,
    ~ sP2(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1932,plain,
    ( sP2(sk_c8)
    | ~ spl20_1
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_23 ),
    inference(backward_demodulation,[],[f930,f1762]) ).

fof(f930,plain,
    ( sP2(sk_c6)
    | ~ spl20_23 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f928,plain,
    ( spl20_23
  <=> sP2(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).

fof(f1874,plain,
    ( ~ spl20_1
    | ~ spl20_3
    | spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(avatar_contradiction_clause,[],[f1873]) ).

fof(f1873,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_3
    | spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f1872,f106]) ).

fof(f106,plain,
    ( sk_c8 != sF12
    | spl20_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl20_4
  <=> sk_c8 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f1872,plain,
    ( sk_c8 = sF12
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1871,f1832]) ).

fof(f1832,plain,
    ( sk_c6 = sk_c8
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1745,f1773]) ).

fof(f1773,plain,
    ( sk_c8 = sk_c2
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1769,f1283]) ).

fof(f1769,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f396,f1764]) ).

fof(f1764,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f1666,f1759]) ).

fof(f1759,plain,
    ( ! [X0] : multiply(sF12,X0) = X0
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f1750,f1755]) ).

fof(f1750,plain,
    ( ! [X0] : multiply(sF12,multiply(sk_c7,X0)) = X0
    | ~ spl20_3
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f1235,f1733]) ).

fof(f1733,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,X0)
    | ~ spl20_3
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f897,f1722]) ).

fof(f897,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl20_3 ),
    inference(superposition,[],[f3,f890]) ).

fof(f890,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl20_3 ),
    inference(forward_demodulation,[],[f50,f102]) ).

fof(f102,plain,
    ( sk_c7 = sF11
    | ~ spl20_3 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl20_3
  <=> sk_c7 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f50,plain,
    multiply(sk_c3,sk_c8) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f1235,plain,
    ! [X0] : multiply(sF12,multiply(sk_c3,X0)) = X0,
    inference(superposition,[],[f209,f52]) ).

fof(f52,plain,
    inverse(sk_c3) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f1666,plain,
    ( sk_c8 = multiply(sF12,sk_c7)
    | ~ spl20_3 ),
    inference(forward_demodulation,[],[f1249,f52]) ).

fof(f1249,plain,
    ( sk_c8 = multiply(inverse(sk_c3),sk_c7)
    | ~ spl20_3 ),
    inference(superposition,[],[f209,f890]) ).

fof(f1871,plain,
    ( sk_c6 = sF12
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(forward_demodulation,[],[f910,f1842]) ).

fof(f1842,plain,
    ( inverse(sk_c8) = sF12
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f52,f1840]) ).

fof(f1840,plain,
    ( sk_c8 = sk_c3
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(forward_demodulation,[],[f1726,f1759]) ).

fof(f1726,plain,
    ( sk_c8 = multiply(sF12,sk_c3)
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f943,f1721]) ).

fof(f943,plain,
    identity = multiply(sF12,sk_c3),
    inference(superposition,[],[f2,f52]) ).

fof(f910,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f60,f127]) ).

fof(f1690,plain,
    ( ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_11
    | ~ spl20_22 ),
    inference(avatar_contradiction_clause,[],[f1689]) ).

fof(f1689,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_11
    | ~ spl20_22 ),
    inference(subsumption_resolution,[],[f1688,f38]) ).

fof(f38,plain,
    ~ sP3(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f1688,plain,
    ( sP3(sk_c7)
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_11
    | ~ spl20_22 ),
    inference(backward_demodulation,[],[f926,f1686]) ).

fof(f1686,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1685,f1663]) ).

fof(f1663,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c6,sk_c6)
    | ~ spl20_1
    | ~ spl20_2
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1168,f1661]) ).

fof(f1661,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl20_2
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1166,f1660]) ).

fof(f1660,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl20_2 ),
    inference(forward_demodulation,[],[f665,f97]) ).

fof(f97,plain,
    ( sk_c6 = sF9
    | ~ spl20_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f665,plain,
    ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sF9,X0),
    inference(superposition,[],[f3,f47]) ).

fof(f1168,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c1,multiply(sk_c8,sk_c6))
    | ~ spl20_1
    | ~ spl20_9
    | ~ spl20_11 ),
    inference(superposition,[],[f814,f682]) ).

fof(f1685,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl20_2
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f1683,f910]) ).

fof(f1683,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c6)
    | ~ spl20_2 ),
    inference(superposition,[],[f209,f1658]) ).

fof(f1658,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl20_2 ),
    inference(forward_demodulation,[],[f47,f97]) ).

fof(f926,plain,
    ( sP3(multiply(sk_c8,sk_c8))
    | ~ spl20_22 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f924,plain,
    ( spl20_22
  <=> sP3(multiply(sk_c8,sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).

fof(f1530,plain,
    ( ~ spl20_1
    | ~ spl20_3
    | spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_3
    | spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(subsumption_resolution,[],[f1528,f1454]) ).

fof(f1454,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1256,f1452]) ).

fof(f1452,plain,
    ( ! [X0] : multiply(inverse(sk_c2),X0) = X0
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1437,f1440]) ).

fof(f1440,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1433,f1434]) ).

fof(f1434,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f908,f1432]) ).

fof(f1432,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1429,f1428]) ).

fof(f1428,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1067,f1427]) ).

fof(f1427,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | ~ spl20_9
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f1253,f907]) ).

fof(f1253,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c1),multiply(sk_c8,X0))
    | ~ spl20_9 ),
    inference(superposition,[],[f209,f814]) ).

fof(f1067,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f941,f965]) ).

fof(f965,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f949,f962]) ).

fof(f962,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,X0)
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f961,f1]) ).

fof(f961,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f3,f952]) ).

fof(f952,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f908,f944]) ).

fof(f944,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl20_7 ),
    inference(superposition,[],[f2,f755]) ).

fof(f755,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f58,f122]) ).

fof(f122,plain,
    ( sk_c8 = sF15
    | ~ spl20_7 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl20_7
  <=> sk_c8 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).

fof(f58,plain,
    inverse(sk_c4) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f949,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f948,f1]) ).

fof(f948,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl20_7 ),
    inference(superposition,[],[f3,f944]) ).

fof(f941,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl20_1
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f940,f3]) ).

fof(f940,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(multiply(sk_c8,sk_c6),X0)
    | ~ spl20_1
    | ~ spl20_11 ),
    inference(superposition,[],[f3,f682]) ).

fof(f1429,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1427,f1428]) ).

fof(f1433,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f440,f1432]) ).

fof(f1437,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c2),X0)
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1255,f1432]) ).

fof(f1255,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c2),multiply(sk_c8,X0))
    | ~ spl20_11 ),
    inference(superposition,[],[f209,f397]) ).

fof(f1256,plain,
    ( sk_c7 = multiply(inverse(sk_c2),sk_c8)
    | ~ spl20_11 ),
    inference(superposition,[],[f209,f396]) ).

fof(f1528,plain,
    ( sk_c7 != sk_c8
    | ~ spl20_1
    | ~ spl20_3
    | spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f111,f1521]) ).

fof(f1521,plain,
    ( sk_c8 = sF13
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1520,f1505]) ).

fof(f1505,plain,
    ( sk_c8 = sk_c3
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1500,f1504]) ).

fof(f1504,plain,
    ( ! [X0] : multiply(sF12,X0) = X0
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1080,f1503]) ).

fof(f1503,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1502,f1432]) ).

fof(f1502,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c8,X0)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1501,f1454]) ).

fof(f1501,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,X0)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f897,f1432]) ).

fof(f1080,plain,
    ( ! [X0] : multiply(sF12,multiply(sk_c3,X0)) = X0
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f1079,f967]) ).

fof(f967,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f1,f966]) ).

fof(f966,plain,
    ( identity = sk_c5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f963,f909]) ).

fof(f909,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f192,f127]) ).

fof(f963,plain,
    ( sk_c5 = multiply(sk_c6,sk_c8)
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f756,f962]) ).

fof(f756,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f56,f117]) ).

fof(f117,plain,
    ( sk_c5 = sF14
    | ~ spl20_6 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl20_6
  <=> sk_c5 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f56,plain,
    multiply(sk_c4,sk_c8) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f1079,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sF12,multiply(sk_c3,X0))
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f3,f971]) ).

fof(f971,plain,
    ( sk_c5 = multiply(sF12,sk_c3)
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f943,f966]) ).

fof(f1500,plain,
    ( sk_c8 = multiply(sF12,sk_c3)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f971,f1482]) ).

fof(f1482,plain,
    ( sk_c8 = sk_c5
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1481,f1432]) ).

fof(f1481,plain,
    ( sk_c5 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f970,f1441]) ).

fof(f1441,plain,
    ( sk_c6 = sk_c8
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f441,f1440]) ).

fof(f970,plain,
    ( sk_c5 = multiply(sk_c6,sk_c8)
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f909,f966]) ).

fof(f1520,plain,
    ( sk_c3 = sF13
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1519,f1483]) ).

fof(f1483,plain,
    ( ! [X0] : multiply(X0,sk_c8) = X0
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f1260,f1482]) ).

fof(f1260,plain,
    ( ! [X0] : multiply(X0,sk_c5) = X0
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f1238,f1239]) ).

fof(f1239,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f209,f209]) ).

fof(f1238,plain,
    ( ! [X0] : multiply(inverse(inverse(X0)),sk_c5) = X0
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f209,f968]) ).

fof(f968,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f2,f966]) ).

fof(f1519,plain,
    ( multiply(sk_c3,sk_c8) = sF13
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f1198,f1482]) ).

fof(f1198,plain,
    ( sF13 = multiply(sk_c3,sk_c5)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f1194,f1152]) ).

fof(f1152,plain,
    ( sF13 = multiply(sk_c7,sk_c4)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f1148,f54]) ).

fof(f54,plain,
    multiply(sk_c8,sk_c5) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f1148,plain,
    ( multiply(sk_c8,sk_c5) = multiply(sk_c7,sk_c4)
    | ~ spl20_1
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f440,f973]) ).

fof(f973,plain,
    ( sk_c4 = multiply(sk_c6,sk_c5)
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f952,f966]) ).

fof(f1194,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c3,sk_c5)
    | ~ spl20_3
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(superposition,[],[f897,f972]) ).

fof(f972,plain,
    ( sk_c5 = multiply(sk_c8,sk_c4)
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f944,f966]) ).

fof(f111,plain,
    ( sk_c7 != sF13
    | spl20_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl20_5
  <=> sk_c7 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

fof(f1463,plain,
    ( ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(avatar_contradiction_clause,[],[f1462]) ).

fof(f1462,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f1457,f1119]) ).

fof(f1119,plain,
    ( sP1(sk_c8)
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f1118,f965]) ).

fof(f1118,plain,
    ( sP1(multiply(sk_c8,multiply(sk_c6,sk_c8)))
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f1117,f962]) ).

fof(f1117,plain,
    ( sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f1095,f35]) ).

fof(f1095,plain,
    ( sP0(sk_c8)
    | sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(superposition,[],[f184,f755]) ).

fof(f184,plain,
    ( ! [X7] :
        ( sP0(inverse(X7))
        | sP1(multiply(sk_c8,multiply(X7,sk_c8))) )
    | ~ spl20_17 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl20_17
  <=> ! [X7] :
        ( sP0(inverse(X7))
        | sP1(multiply(sk_c8,multiply(X7,sk_c8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).

fof(f1457,plain,
    ( ~ sP1(sk_c8)
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f36,f1454]) ).

fof(f1128,plain,
    ( spl20_28
    | spl20_29
    | ~ spl20_10
    | ~ spl20_17 ),
    inference(avatar_split_clause,[],[f1096,f183,f145,f1125,f1121]) ).

fof(f1096,plain,
    ( sP0(sk_c2)
    | sP1(multiply(sk_c8,multiply(sk_c1,sk_c8)))
    | ~ spl20_10
    | ~ spl20_17 ),
    inference(superposition,[],[f184,f907]) ).

fof(f931,plain,
    ( spl20_22
    | spl20_23
    | ~ spl20_8
    | ~ spl20_16 ),
    inference(avatar_split_clause,[],[f922,f180,f125,f928,f924]) ).

fof(f180,plain,
    ( spl20_16
  <=> ! [X5] :
        ( sP2(inverse(X5))
        | sP3(multiply(X5,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).

fof(f922,plain,
    ( sP2(sk_c6)
    | sP3(multiply(sk_c8,sk_c8))
    | ~ spl20_8
    | ~ spl20_16 ),
    inference(superposition,[],[f181,f910]) ).

fof(f181,plain,
    ( ! [X5] :
        ( sP2(inverse(X5))
        | sP3(multiply(X5,sk_c8)) )
    | ~ spl20_16 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f903,plain,
    ( ~ spl20_3
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(avatar_contradiction_clause,[],[f902]) ).

fof(f902,plain,
    ( $false
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f901,f38]) ).

fof(f901,plain,
    ( sP3(sk_c7)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(forward_demodulation,[],[f900,f890]) ).

fof(f900,plain,
    ( sP3(multiply(sk_c3,sk_c8))
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f898,f37]) ).

fof(f898,plain,
    ( sP2(sk_c8)
    | sP3(multiply(sk_c3,sk_c8))
    | ~ spl20_4
    | ~ spl20_16 ),
    inference(superposition,[],[f181,f189]) ).

fof(f189,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f52,f107]) ).

fof(f107,plain,
    ( sk_c8 = sF12
    | ~ spl20_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f888,plain,
    ( ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(avatar_contradiction_clause,[],[f887]) ).

fof(f887,plain,
    ( $false
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f886,f36]) ).

fof(f886,plain,
    ( sP1(sk_c7)
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(backward_demodulation,[],[f885,f758]) ).

fof(f758,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl20_5 ),
    inference(backward_demodulation,[],[f54,f112]) ).

fof(f112,plain,
    ( sk_c7 = sF13
    | ~ spl20_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f885,plain,
    ( sP1(multiply(sk_c8,sk_c5))
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(backward_demodulation,[],[f841,f756]) ).

fof(f841,plain,
    ( sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f839,f35]) ).

fof(f839,plain,
    ( sP0(sk_c8)
    | sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
    | ~ spl20_7
    | ~ spl20_17 ),
    inference(superposition,[],[f184,f755]) ).

fof(f635,plain,
    ( ~ spl20_2
    | ~ spl20_15 ),
    inference(avatar_contradiction_clause,[],[f634]) ).

fof(f634,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_15 ),
    inference(subsumption_resolution,[],[f633,f39]) ).

fof(f39,plain,
    ~ sP4(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f633,plain,
    ( sP4(sk_c6)
    | ~ spl20_2
    | ~ spl20_15 ),
    inference(forward_demodulation,[],[f178,f97]) ).

fof(f178,plain,
    ( sP4(sF9)
    | ~ spl20_15 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f176,plain,
    ( spl20_15
  <=> sP4(sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).

fof(f622,plain,
    ( ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(avatar_contradiction_clause,[],[f621]) ).

fof(f621,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f620,f576]) ).

fof(f576,plain,
    ( ~ sP1(sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f36,f562]) ).

fof(f562,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f494,f556]) ).

fof(f556,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f555,f472]) ).

fof(f472,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f470,f436]) ).

fof(f436,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f393,f127]) ).

fof(f470,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f203,f462]) ).

fof(f462,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,X0)
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(superposition,[],[f436,f210]) ).

fof(f210,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl20_4 ),
    inference(forward_demodulation,[],[f202,f1]) ).

fof(f202,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl20_4 ),
    inference(superposition,[],[f3,f193]) ).

fof(f193,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl20_4 ),
    inference(superposition,[],[f2,f189]) ).

fof(f203,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl20_3 ),
    inference(superposition,[],[f3,f190]) ).

fof(f190,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl20_3 ),
    inference(backward_demodulation,[],[f50,f102]) ).

fof(f555,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f473,f551]) ).

fof(f551,plain,
    ( sk_c7 = sk_c2
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(forward_demodulation,[],[f549,f494]) ).

fof(f549,plain,
    ( sk_c2 = multiply(sk_c8,sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(superposition,[],[f478,f401]) ).

fof(f478,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f452,f473]) ).

fof(f452,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
    | ~ spl20_10 ),
    inference(forward_demodulation,[],[f451,f1]) ).

fof(f451,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
    | ~ spl20_10 ),
    inference(superposition,[],[f3,f398]) ).

fof(f398,plain,
    ( identity = multiply(sk_c2,sk_c1)
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f195,f147]) ).

fof(f195,plain,
    identity = multiply(sF18,sk_c1),
    inference(superposition,[],[f2,f74]) ).

fof(f473,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f397,f472]) ).

fof(f494,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f482,f488]) ).

fof(f488,plain,
    ( identity = sk_c7
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f487,f482]) ).

fof(f487,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f471,f475]) ).

fof(f475,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,X0)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f440,f472]) ).

fof(f471,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f190,f462]) ).

fof(f482,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f437,f475]) ).

fof(f437,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f192,f127]) ).

fof(f620,plain,
    ( sP1(sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f619,f556]) ).

fof(f619,plain,
    ( sP1(multiply(sk_c8,sk_c8))
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(subsumption_resolution,[],[f618,f35]) ).

fof(f618,plain,
    ( sP0(sk_c8)
    | sP1(multiply(sk_c8,sk_c8))
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(superposition,[],[f616,f586]) ).

fof(f586,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f572,f562]) ).

fof(f572,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f553,f563]) ).

fof(f563,plain,
    ( sk_c7 = sk_c1
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f493,f556]) ).

fof(f493,plain,
    ( sk_c7 = multiply(sk_c8,sk_c1)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f480,f488]) ).

fof(f480,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f398,f473]) ).

fof(f553,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f399,f551]) ).

fof(f399,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f74,f147]) ).

fof(f616,plain,
    ( ! [X7] :
        ( sP0(inverse(X7))
        | sP1(multiply(X7,sk_c8)) )
    | ~ spl20_1
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_8
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_17 ),
    inference(forward_demodulation,[],[f184,f556]) ).

fof(f443,plain,
    ( ~ spl20_8
    | ~ spl20_13 ),
    inference(avatar_contradiction_clause,[],[f442]) ).

fof(f442,plain,
    ( $false
    | ~ spl20_8
    | ~ spl20_13 ),
    inference(subsumption_resolution,[],[f42,f439]) ).

fof(f439,plain,
    ( sP7(sk_c6)
    | ~ spl20_8
    | ~ spl20_13 ),
    inference(backward_demodulation,[],[f171,f127]) ).

fof(f171,plain,
    ( sP7(sF16)
    | ~ spl20_13 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl20_13
  <=> sP7(sF16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).

fof(f42,plain,
    ~ sP7(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f432,plain,
    ( ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(avatar_contradiction_clause,[],[f431]) ).

fof(f431,plain,
    ( $false
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f430,f41]) ).

fof(f41,plain,
    ~ sP6(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f430,plain,
    ( sP6(sk_c8)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f429,f401]) ).

fof(f429,plain,
    ( sP6(multiply(sk_c1,sk_c2))
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f428,f40]) ).

fof(f40,plain,
    ~ sP5(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f428,plain,
    ( sP5(sk_c8)
    | sP6(multiply(sk_c1,sk_c2))
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f418,f396]) ).

fof(f418,plain,
    ( sP5(multiply(sk_c2,sk_c7))
    | sP6(multiply(sk_c1,sk_c2))
    | ~ spl20_10
    | ~ spl20_14 ),
    inference(superposition,[],[f174,f399]) ).

fof(f174,plain,
    ( ! [X3] :
        ( sP5(multiply(inverse(X3),sk_c7))
        | sP6(multiply(X3,inverse(X3))) )
    | ~ spl20_14 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl20_14
  <=> ! [X3] :
        ( sP5(multiply(inverse(X3),sk_c7))
        | sP6(multiply(X3,inverse(X3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).

fof(f392,plain,
    ( ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(avatar_contradiction_clause,[],[f391]) ).

fof(f391,plain,
    ( $false
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f390,f41]) ).

fof(f390,plain,
    ( sP6(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f389,f362]) ).

fof(f362,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f60,f359]) ).

fof(f359,plain,
    ( sk_c8 = sF16
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f357,f60]) ).

fof(f357,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f328,f352]) ).

fof(f352,plain,
    ( identity = sk_c8
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f192,f351]) ).

fof(f351,plain,
    ( ! [X0] : multiply(sF16,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f350,f1]) ).

fof(f350,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sF16,X0)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f349,f310]) ).

fof(f310,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f306,f239]) ).

fof(f239,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c8,X0)
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f200,f231]) ).

fof(f231,plain,
    ( sk_c7 = sk_c8
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f229,f188]) ).

fof(f188,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl20_5 ),
    inference(backward_demodulation,[],[f54,f112]) ).

fof(f229,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(superposition,[],[f212,f187]) ).

fof(f187,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f56,f117]) ).

fof(f212,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f211,f1]) ).

fof(f211,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl20_7 ),
    inference(superposition,[],[f3,f194]) ).

fof(f194,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl20_7 ),
    inference(superposition,[],[f2,f186]) ).

fof(f186,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f58,f122]) ).

fof(f200,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
    | ~ spl20_5 ),
    inference(superposition,[],[f3,f188]) ).

fof(f306,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f212,f303]) ).

fof(f303,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,X0)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f261,f294]) ).

fof(f294,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(superposition,[],[f240,f210]) ).

fof(f240,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl20_3
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f203,f231]) ).

fof(f261,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | ~ spl20_4
    | ~ spl20_6 ),
    inference(superposition,[],[f204,f210]) ).

fof(f204,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl20_6 ),
    inference(superposition,[],[f3,f187]) ).

fof(f328,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f189,f314]) ).

fof(f314,plain,
    ( identity = sk_c3
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f193,f310]) ).

fof(f389,plain,
    ( sP6(inverse(sk_c8))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f388,f310]) ).

fof(f388,plain,
    ( sP6(multiply(sk_c8,inverse(sk_c8)))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f373,f40]) ).

fof(f373,plain,
    ( sP5(sk_c8)
    | sP6(multiply(sk_c8,inverse(sk_c8)))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(superposition,[],[f365,f354]) ).

fof(f354,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c8
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f2,f352]) ).

fof(f365,plain,
    ( ! [X3] :
        ( sP5(multiply(inverse(X3),sk_c8))
        | sP6(multiply(X3,inverse(X3))) )
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f174,f231]) ).

fof(f364,plain,
    ( ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_13 ),
    inference(avatar_contradiction_clause,[],[f363]) ).

fof(f363,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_13 ),
    inference(subsumption_resolution,[],[f361,f217]) ).

fof(f217,plain,
    ( ~ sP7(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f42,f215]) ).

fof(f215,plain,
    ( sk_c6 = sk_c8
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(forward_demodulation,[],[f213,f191]) ).

fof(f191,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl20_2 ),
    inference(backward_demodulation,[],[f47,f97]) ).

fof(f213,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(superposition,[],[f210,f190]) ).

fof(f361,plain,
    ( sP7(sk_c8)
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7
    | ~ spl20_13 ),
    inference(backward_demodulation,[],[f171,f359]) ).

fof(f255,plain,
    ( ~ spl20_12
    | ~ spl20_1 ),
    inference(avatar_split_clause,[],[f252,f91,f165]) ).

fof(f165,plain,
    ( spl20_12
  <=> sP8(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).

fof(f252,plain,
    ( ~ sP8(sk_c8)
    | ~ spl20_1 ),
    inference(backward_demodulation,[],[f88,f93]) ).

fof(f88,plain,
    ~ sP8(sF10),
    inference(definition_folding,[],[f43,f48]) ).

fof(f43,plain,
    ~ sP8(multiply(sk_c7,sk_c6)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f247,plain,
    ( spl20_1
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(avatar_split_clause,[],[f246,f120,f115,f110,f105,f100,f95,f91]) ).

fof(f246,plain,
    ( sk_c8 = sF10
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(forward_demodulation,[],[f243,f242]) ).

fof(f242,plain,
    ( sF10 = multiply(sk_c8,sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f218,f231]) ).

fof(f218,plain,
    ( sF10 = multiply(sk_c7,sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f48,f215]) ).

fof(f243,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f220,f231]) ).

fof(f220,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f191,f215]) ).

fof(f185,plain,
    ( spl20_12
    | spl20_13
    | spl20_14
    | spl20_15
    | spl20_16
    | spl20_17 ),
    inference(avatar_split_clause,[],[f89,f183,f180,f176,f173,f169,f165]) ).

fof(f89,plain,
    ! [X3,X7,X5] :
      ( sP0(inverse(X7))
      | sP1(multiply(sk_c8,multiply(X7,sk_c8)))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(sF9)
      | sP5(multiply(inverse(X3),sk_c7))
      | sP6(multiply(X3,inverse(X3)))
      | sP7(sF16)
      | sP8(sk_c8) ),
    inference(definition_folding,[],[f46,f60,f47]) ).

fof(f46,plain,
    ! [X3,X7,X5] :
      ( sP0(inverse(X7))
      | sP1(multiply(sk_c8,multiply(X7,sk_c8)))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(multiply(sk_c8,sk_c7))
      | sP5(multiply(inverse(X3),sk_c7))
      | sP6(multiply(X3,inverse(X3)))
      | sP7(inverse(sk_c8))
      | sP8(sk_c8) ),
    inference(equality_resolution,[],[f45]) ).

fof(f45,plain,
    ! [X3,X7,X4,X5] :
      ( sP0(inverse(X7))
      | sP1(multiply(sk_c8,multiply(X7,sk_c8)))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(multiply(sk_c8,sk_c7))
      | sP5(multiply(X4,sk_c7))
      | inverse(X3) != X4
      | sP6(multiply(X3,X4))
      | sP7(inverse(sk_c8))
      | sP8(sk_c8) ),
    inference(equality_resolution,[],[f44]) ).

fof(f44,plain,
    ! [X3,X6,X7,X4,X5] :
      ( sP0(inverse(X7))
      | multiply(X7,sk_c8) != X6
      | sP1(multiply(sk_c8,X6))
      | sP2(inverse(X5))
      | sP3(multiply(X5,sk_c8))
      | sP4(multiply(sk_c8,sk_c7))
      | sP5(multiply(X4,sk_c7))
      | inverse(X3) != X4
      | sP6(multiply(X3,X4))
      | sP7(inverse(sk_c8))
      | sP8(sk_c8) ),
    inference(inequality_splitting,[],[f34,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X7)
      | multiply(X7,sk_c8) != X6
      | sk_c7 != multiply(sk_c8,X6)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c8 != multiply(X4,sk_c7)
      | inverse(X3) != X4
      | sk_c8 != multiply(X3,X4)
      | sk_c6 != inverse(sk_c8)
      | multiply(sk_c7,sk_c6) != sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_31) ).

fof(f163,plain,
    ( spl20_11
    | spl20_7 ),
    inference(avatar_split_clause,[],[f87,f120,f155]) ).

fof(f87,plain,
    ( sk_c8 = sF15
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f33,f81,f58]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_30) ).

fof(f162,plain,
    ( spl20_11
    | spl20_6 ),
    inference(avatar_split_clause,[],[f86,f115,f155]) ).

fof(f86,plain,
    ( sk_c5 = sF14
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f32,f81,f56]) ).

fof(f32,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_29) ).

fof(f161,plain,
    ( spl20_11
    | spl20_5 ),
    inference(avatar_split_clause,[],[f85,f110,f155]) ).

fof(f85,plain,
    ( sk_c7 = sF13
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f31,f81,f54]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_28) ).

fof(f160,plain,
    ( spl20_11
    | spl20_4 ),
    inference(avatar_split_clause,[],[f84,f105,f155]) ).

fof(f84,plain,
    ( sk_c8 = sF12
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f30,f81,f52]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_27) ).

fof(f159,plain,
    ( spl20_11
    | spl20_3 ),
    inference(avatar_split_clause,[],[f83,f100,f155]) ).

fof(f83,plain,
    ( sk_c7 = sF11
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f29,f81,f50]) ).

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_26) ).

fof(f158,plain,
    ( spl20_11
    | spl20_2 ),
    inference(avatar_split_clause,[],[f82,f95,f155]) ).

fof(f82,plain,
    ( sk_c6 = sF9
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f28,f81,f47]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_25) ).

fof(f153,plain,
    ( spl20_10
    | spl20_7 ),
    inference(avatar_split_clause,[],[f80,f120,f145]) ).

fof(f80,plain,
    ( sk_c8 = sF15
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f27,f74,f58]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_24) ).

fof(f152,plain,
    ( spl20_10
    | spl20_6 ),
    inference(avatar_split_clause,[],[f79,f115,f145]) ).

fof(f79,plain,
    ( sk_c5 = sF14
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f26,f74,f56]) ).

fof(f26,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_23) ).

fof(f151,plain,
    ( spl20_10
    | spl20_5 ),
    inference(avatar_split_clause,[],[f78,f110,f145]) ).

fof(f78,plain,
    ( sk_c7 = sF13
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f25,f74,f54]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_22) ).

fof(f150,plain,
    ( spl20_10
    | spl20_4 ),
    inference(avatar_split_clause,[],[f77,f105,f145]) ).

fof(f77,plain,
    ( sk_c8 = sF12
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f24,f74,f52]) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_21) ).

fof(f149,plain,
    ( spl20_10
    | spl20_3 ),
    inference(avatar_split_clause,[],[f76,f100,f145]) ).

fof(f76,plain,
    ( sk_c7 = sF11
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f23,f74,f50]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_20) ).

fof(f148,plain,
    ( spl20_10
    | spl20_2 ),
    inference(avatar_split_clause,[],[f75,f95,f145]) ).

fof(f75,plain,
    ( sk_c6 = sF9
    | sk_c2 = sF18 ),
    inference(definition_folding,[],[f22,f74,f47]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_19) ).

fof(f143,plain,
    ( spl20_9
    | spl20_7 ),
    inference(avatar_split_clause,[],[f73,f120,f135]) ).

fof(f73,plain,
    ( sk_c8 = sF15
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f21,f67,f58]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_18) ).

fof(f142,plain,
    ( spl20_9
    | spl20_6 ),
    inference(avatar_split_clause,[],[f72,f115,f135]) ).

fof(f72,plain,
    ( sk_c5 = sF14
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f20,f67,f56]) ).

fof(f20,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_17) ).

fof(f141,plain,
    ( spl20_9
    | spl20_5 ),
    inference(avatar_split_clause,[],[f71,f110,f135]) ).

fof(f71,plain,
    ( sk_c7 = sF13
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f19,f67,f54]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_16) ).

fof(f140,plain,
    ( spl20_9
    | spl20_4 ),
    inference(avatar_split_clause,[],[f70,f105,f135]) ).

fof(f70,plain,
    ( sk_c8 = sF12
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f18,f67,f52]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_15) ).

fof(f139,plain,
    ( spl20_9
    | spl20_3 ),
    inference(avatar_split_clause,[],[f69,f100,f135]) ).

fof(f69,plain,
    ( sk_c7 = sF11
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f17,f67,f50]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_14) ).

fof(f138,plain,
    ( spl20_9
    | spl20_2 ),
    inference(avatar_split_clause,[],[f68,f95,f135]) ).

fof(f68,plain,
    ( sk_c6 = sF9
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f16,f67,f47]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_13) ).

fof(f133,plain,
    ( spl20_8
    | spl20_7 ),
    inference(avatar_split_clause,[],[f66,f120,f125]) ).

fof(f66,plain,
    ( sk_c8 = sF15
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f15,f60,f58]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_12) ).

fof(f132,plain,
    ( spl20_8
    | spl20_6 ),
    inference(avatar_split_clause,[],[f65,f115,f125]) ).

fof(f65,plain,
    ( sk_c5 = sF14
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f14,f60,f56]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_11) ).

fof(f131,plain,
    ( spl20_8
    | spl20_5 ),
    inference(avatar_split_clause,[],[f64,f110,f125]) ).

fof(f64,plain,
    ( sk_c7 = sF13
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f13,f60,f54]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_10) ).

fof(f130,plain,
    ( spl20_8
    | spl20_4 ),
    inference(avatar_split_clause,[],[f63,f105,f125]) ).

fof(f63,plain,
    ( sk_c8 = sF12
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f12,f60,f52]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_9) ).

fof(f129,plain,
    ( spl20_8
    | spl20_3 ),
    inference(avatar_split_clause,[],[f62,f100,f125]) ).

fof(f62,plain,
    ( sk_c7 = sF11
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f11,f60,f50]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_8) ).

fof(f128,plain,
    ( spl20_8
    | spl20_2 ),
    inference(avatar_split_clause,[],[f61,f95,f125]) ).

fof(f61,plain,
    ( sk_c6 = sF9
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f10,f60,f47]) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_7) ).

fof(f123,plain,
    ( spl20_1
    | spl20_7 ),
    inference(avatar_split_clause,[],[f59,f120,f91]) ).

fof(f59,plain,
    ( sk_c8 = sF15
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f9,f48,f58]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_6) ).

fof(f118,plain,
    ( spl20_1
    | spl20_6 ),
    inference(avatar_split_clause,[],[f57,f115,f91]) ).

fof(f57,plain,
    ( sk_c5 = sF14
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f8,f48,f56]) ).

fof(f8,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_5) ).

fof(f113,plain,
    ( spl20_1
    | spl20_5 ),
    inference(avatar_split_clause,[],[f55,f110,f91]) ).

fof(f55,plain,
    ( sk_c7 = sF13
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f7,f48,f54]) ).

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_4) ).

fof(f108,plain,
    ( spl20_1
    | spl20_4 ),
    inference(avatar_split_clause,[],[f53,f105,f91]) ).

fof(f53,plain,
    ( sk_c8 = sF12
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f6,f48,f52]) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_3) ).

fof(f103,plain,
    ( spl20_1
    | spl20_3 ),
    inference(avatar_split_clause,[],[f51,f100,f91]) ).

fof(f51,plain,
    ( sk_c7 = sF11
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f5,f48,f50]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_2) ).

fof(f98,plain,
    ( spl20_1
    | spl20_2 ),
    inference(avatar_split_clause,[],[f49,f95,f91]) ).

fof(f49,plain,
    ( sk_c6 = sF9
    | sk_c8 = sF10 ),
    inference(definition_folding,[],[f4,f48,f47]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP357-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:43:34 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.m6iZ7HqAsy/Vampire---4.8_9866
% 0.53/0.74  % (10130)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.53/0.74  % (10124)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.53/0.74  % (10126)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.74  % (10125)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.53/0.74  % (10128)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.53/0.74  % (10129)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.53/0.74  % (10130)Refutation not found, incomplete strategy% (10130)------------------------------
% 0.53/0.74  % (10130)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (10130)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (10130)Memory used [KB]: 1074
% 0.53/0.74  % (10130)Time elapsed: 0.004 s
% 0.53/0.74  % (10130)Instructions burned: 7 (million)
% 0.53/0.74  % (10130)------------------------------
% 0.53/0.74  % (10130)------------------------------
% 0.53/0.74  % (10131)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.53/0.74  % (10124)Refutation not found, incomplete strategy% (10124)------------------------------
% 0.53/0.74  % (10124)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (10124)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (10124)Memory used [KB]: 998
% 0.53/0.74  % (10124)Time elapsed: 0.003 s
% 0.53/0.74  % (10124)Instructions burned: 4 (million)
% 0.53/0.74  % (10124)------------------------------
% 0.53/0.74  % (10124)------------------------------
% 0.53/0.74  % (10128)Refutation not found, incomplete strategy% (10128)------------------------------
% 0.53/0.74  % (10128)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (10128)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (10128)Memory used [KB]: 997
% 0.53/0.74  % (10128)Time elapsed: 0.004 s
% 0.53/0.74  % (10128)Instructions burned: 4 (million)
% 0.53/0.74  % (10128)------------------------------
% 0.53/0.74  % (10128)------------------------------
% 0.53/0.74  % (10131)Refutation not found, incomplete strategy% (10131)------------------------------
% 0.53/0.74  % (10131)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (10127)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.53/0.74  % (10131)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (10126)Refutation not found, incomplete strategy% (10126)------------------------------
% 0.53/0.74  % (10126)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (10131)Memory used [KB]: 983
% 0.53/0.74  % (10126)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (10126)Memory used [KB]: 1060
% 0.53/0.74  % (10126)Time elapsed: 0.005 s
% 0.53/0.74  % (10126)Instructions burned: 6 (million)
% 0.53/0.74  % (10126)------------------------------
% 0.53/0.74  % (10126)------------------------------
% 0.53/0.74  % (10131)Time elapsed: 0.004 s
% 0.53/0.74  % (10131)Instructions burned: 4 (million)
% 0.53/0.74  % (10131)------------------------------
% 0.53/0.74  % (10131)------------------------------
% 0.53/0.74  % (10127)Refutation not found, incomplete strategy% (10127)------------------------------
% 0.53/0.74  % (10127)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74  % (10127)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (10127)Memory used [KB]: 980
% 0.53/0.74  % (10127)Time elapsed: 0.002 s
% 0.53/0.74  % (10127)Instructions burned: 4 (million)
% 0.53/0.74  % (10127)------------------------------
% 0.53/0.74  % (10127)------------------------------
% 0.53/0.75  % (10132)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.53/0.75  % (10134)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.53/0.75  % (10137)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.53/0.75  % (10136)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.53/0.75  % (10133)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.53/0.75  % (10135)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.53/0.75  % (10137)Refutation not found, incomplete strategy% (10137)------------------------------
% 0.53/0.75  % (10137)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75  % (10137)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75  
% 0.53/0.75  % (10137)Memory used [KB]: 1004
% 0.53/0.75  % (10137)Time elapsed: 0.002 s
% 0.53/0.75  % (10137)Instructions burned: 4 (million)
% 0.53/0.75  % (10137)------------------------------
% 0.53/0.75  % (10137)------------------------------
% 0.53/0.75  % (10133)Refutation not found, incomplete strategy% (10133)------------------------------
% 0.53/0.75  % (10133)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75  % (10133)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75  
% 0.53/0.75  % (10133)Memory used [KB]: 991
% 0.53/0.75  % (10133)Time elapsed: 0.004 s
% 0.53/0.75  % (10133)Instructions burned: 5 (million)
% 0.53/0.75  % (10133)------------------------------
% 0.53/0.75  % (10133)------------------------------
% 0.53/0.75  % (10132)Refutation not found, incomplete strategy% (10132)------------------------------
% 0.53/0.75  % (10132)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75  % (10132)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75  
% 0.53/0.75  % (10132)Memory used [KB]: 1070
% 0.53/0.75  % (10132)Time elapsed: 0.006 s
% 0.53/0.75  % (10132)Instructions burned: 7 (million)
% 0.53/0.75  % (10132)------------------------------
% 0.53/0.75  % (10132)------------------------------
% 0.53/0.75  % (10135)Refutation not found, incomplete strategy% (10135)------------------------------
% 0.53/0.75  % (10135)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75  % (10135)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75  
% 0.53/0.75  % (10135)Memory used [KB]: 1060
% 0.53/0.75  % (10135)Time elapsed: 0.005 s
% 0.53/0.75  % (10135)Instructions burned: 6 (million)
% 0.53/0.75  % (10135)------------------------------
% 0.53/0.75  % (10135)------------------------------
% 0.53/0.75  % (10139)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.53/0.75  % (10139)Refutation not found, incomplete strategy% (10139)------------------------------
% 0.53/0.75  % (10139)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.75  % (10139)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75  
% 0.53/0.75  % (10139)Memory used [KB]: 984
% 0.53/0.75  % (10139)Time elapsed: 0.002 s
% 0.53/0.75  % (10139)Instructions burned: 4 (million)
% 0.53/0.75  % (10139)------------------------------
% 0.53/0.75  % (10139)------------------------------
% 0.53/0.75  % (10138)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.53/0.76  % (10140)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.53/0.76  % (10141)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.53/0.76  % (10134)Refutation not found, incomplete strategy% (10134)------------------------------
% 0.53/0.76  % (10134)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.76  % (10134)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.76  
% 0.53/0.76  % (10134)Memory used [KB]: 1119
% 0.53/0.76  % (10134)Time elapsed: 0.011 s
% 0.53/0.76  % (10134)Instructions burned: 18 (million)
% 0.53/0.76  % (10134)------------------------------
% 0.53/0.76  % (10134)------------------------------
% 0.53/0.76  % (10142)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.53/0.76  % (10140)Refutation not found, incomplete strategy% (10140)------------------------------
% 0.53/0.76  % (10140)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.76  % (10140)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.76  
% 0.53/0.76  % (10140)Memory used [KB]: 999
% 0.53/0.76  % (10140)Time elapsed: 0.004 s
% 0.53/0.76  % (10140)Instructions burned: 4 (million)
% 0.53/0.76  % (10140)------------------------------
% 0.53/0.76  % (10140)------------------------------
% 0.65/0.76  % (10142)Refutation not found, incomplete strategy% (10142)------------------------------
% 0.65/0.76  % (10142)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.76  % (10142)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.76  
% 0.65/0.76  % (10142)Memory used [KB]: 984
% 0.65/0.76  % (10142)Time elapsed: 0.002 s
% 0.65/0.76  % (10142)Instructions burned: 3 (million)
% 0.65/0.76  % (10142)------------------------------
% 0.65/0.76  % (10142)------------------------------
% 0.65/0.76  % (10145)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.65/0.76  % (10143)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.65/0.76  % (10129)Instruction limit reached!
% 0.65/0.76  % (10129)------------------------------
% 0.65/0.76  % (10129)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.76  % (10129)Termination reason: Unknown
% 0.65/0.76  % (10129)Termination phase: Saturation
% 0.65/0.76  
% 0.65/0.76  % (10129)Memory used [KB]: 1626
% 0.65/0.76  % (10129)Time elapsed: 0.023 s
% 0.65/0.76  % (10129)Instructions burned: 45 (million)
% 0.65/0.76  % (10129)------------------------------
% 0.65/0.76  % (10129)------------------------------
% 0.65/0.76  % (10145)Refutation not found, incomplete strategy% (10145)------------------------------
% 0.65/0.76  % (10145)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.76  % (10145)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.76  
% 0.65/0.76  % (10145)Memory used [KB]: 1000
% 0.65/0.76  % (10145)Time elapsed: 0.002 s
% 0.65/0.76  % (10145)Instructions burned: 4 (million)
% 0.65/0.76  % (10145)------------------------------
% 0.65/0.76  % (10145)------------------------------
% 0.65/0.76  % (10138)Refutation not found, incomplete strategy% (10138)------------------------------
% 0.65/0.76  % (10138)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.76  % (10138)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.76  
% 0.65/0.76  % (10138)Memory used [KB]: 1093
% 0.65/0.76  % (10138)Time elapsed: 0.009 s
% 0.65/0.76  % (10138)Instructions burned: 14 (million)
% 0.65/0.76  % (10138)------------------------------
% 0.65/0.76  % (10138)------------------------------
% 0.70/0.76  % (10144)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.70/0.76  % (10147)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.70/0.77  % (10146)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.70/0.77  % (10147)Refutation not found, incomplete strategy% (10147)------------------------------
% 0.70/0.77  % (10147)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.77  % (10147)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.77  
% 0.70/0.77  % (10147)Memory used [KB]: 986
% 0.70/0.77  % (10147)Time elapsed: 0.002 s
% 0.70/0.77  % (10147)Instructions burned: 3 (million)
% 0.70/0.77  % (10147)------------------------------
% 0.70/0.77  % (10147)------------------------------
% 0.70/0.77  % (10125)Instruction limit reached!
% 0.70/0.77  % (10125)------------------------------
% 0.70/0.77  % (10125)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.77  % (10125)Termination reason: Unknown
% 0.70/0.77  % (10125)Termination phase: Saturation
% 0.70/0.77  
% 0.70/0.77  % (10125)Memory used [KB]: 1660
% 0.70/0.77  % (10125)Time elapsed: 0.029 s
% 0.70/0.77  % (10125)Instructions burned: 52 (million)
% 0.70/0.77  % (10125)------------------------------
% 0.70/0.77  % (10125)------------------------------
% 0.70/0.77  % (10144)Refutation not found, incomplete strategy% (10144)------------------------------
% 0.70/0.77  % (10144)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.77  % (10144)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.77  
% 0.70/0.77  % (10144)Memory used [KB]: 1060
% 0.70/0.77  % (10144)Time elapsed: 0.005 s
% 0.70/0.77  % (10144)Instructions burned: 7 (million)
% 0.70/0.77  % (10144)------------------------------
% 0.70/0.77  % (10144)------------------------------
% 0.70/0.77  % (10149)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.70/0.77  % (10148)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.70/0.77  % (10150)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.70/0.77  % (10151)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2996ds/109Mi)
% 0.70/0.78  % (10143)Instruction limit reached!
% 0.70/0.78  % (10143)------------------------------
% 0.70/0.78  % (10143)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.78  % (10143)Termination reason: Unknown
% 0.70/0.78  % (10143)Termination phase: Saturation
% 0.70/0.78  
% 0.70/0.78  % (10143)Memory used [KB]: 1443
% 0.70/0.78  % (10143)Time elapsed: 0.018 s
% 0.70/0.78  % (10143)Instructions burned: 33 (million)
% 0.70/0.78  % (10143)------------------------------
% 0.70/0.78  % (10143)------------------------------
% 0.70/0.78  % (10149)Instruction limit reached!
% 0.70/0.78  % (10149)------------------------------
% 0.70/0.78  % (10149)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.78  % (10149)Termination reason: Unknown
% 0.70/0.78  % (10149)Termination phase: Saturation
% 0.70/0.78  
% 0.70/0.78  % (10149)Memory used [KB]: 1172
% 0.70/0.78  % (10149)Time elapsed: 0.012 s
% 0.70/0.78  % (10149)Instructions burned: 38 (million)
% 0.70/0.78  % (10149)------------------------------
% 0.70/0.78  % (10149)------------------------------
% 0.70/0.78  % (10152)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2996ds/161Mi)
% 0.70/0.78  % (10153)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2996ds/69Mi)
% 0.70/0.78  % (10153)Refutation not found, incomplete strategy% (10153)------------------------------
% 0.70/0.78  % (10153)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.78  % (10153)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.78  
% 0.70/0.78  % (10153)Memory used [KB]: 1000
% 0.70/0.78  % (10153)Time elapsed: 0.002 s
% 0.70/0.78  % (10153)Instructions burned: 4 (million)
% 0.70/0.78  % (10153)------------------------------
% 0.70/0.78  % (10153)------------------------------
% 0.70/0.78  % (10152)Refutation not found, incomplete strategy% (10152)------------------------------
% 0.70/0.78  % (10152)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.78  % (10152)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.78  
% 0.70/0.78  % (10152)Memory used [KB]: 978
% 0.70/0.78  % (10152)Time elapsed: 0.004 s
% 0.70/0.78  % (10152)Instructions burned: 4 (million)
% 0.70/0.78  % (10152)------------------------------
% 0.70/0.78  % (10152)------------------------------
% 0.70/0.79  % (10154)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.70/0.79  % (10155)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.70/0.79  % (10146)Instruction limit reached!
% 0.70/0.79  % (10146)------------------------------
% 0.70/0.79  % (10146)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.79  % (10146)Termination reason: Unknown
% 0.70/0.79  % (10146)Termination phase: Saturation
% 0.70/0.79  
% 0.70/0.79  % (10146)Memory used [KB]: 1177
% 0.70/0.79  % (10146)Time elapsed: 0.027 s
% 0.70/0.79  % (10146)Instructions burned: 53 (million)
% 0.70/0.79  % (10146)------------------------------
% 0.70/0.79  % (10146)------------------------------
% 0.70/0.79  % (10156)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.70/0.79  % (10154)Refutation not found, incomplete strategy% (10154)------------------------------
% 0.70/0.79  % (10154)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.79  % (10154)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.79  
% 0.70/0.79  % (10154)Memory used [KB]: 1259
% 0.70/0.79  % (10154)Time elapsed: 0.031 s
% 0.70/0.79  % (10154)Instructions burned: 20 (million)
% 0.70/0.79  % (10154)------------------------------
% 0.70/0.79  % (10154)------------------------------
% 0.70/0.80  % (10157)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.83/0.80  % (10141)Instruction limit reached!
% 0.83/0.80  % (10141)------------------------------
% 0.83/0.80  % (10141)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/0.80  % (10141)Termination reason: Unknown
% 0.83/0.80  % (10141)Termination phase: Saturation
% 0.83/0.80  
% 0.83/0.80  % (10141)Memory used [KB]: 2036
% 0.83/0.80  % (10141)Time elapsed: 0.048 s
% 0.83/0.80  % (10141)Instructions burned: 93 (million)
% 0.83/0.80  % (10141)------------------------------
% 0.83/0.80  % (10141)------------------------------
% 0.83/0.81  % (10158)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.83/0.81  % (10150)Instruction limit reached!
% 0.83/0.81  % (10150)------------------------------
% 0.83/0.81  % (10150)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/0.81  % (10150)Termination reason: Unknown
% 0.83/0.81  % (10150)Termination phase: Saturation
% 0.83/0.81  
% 0.83/0.81  % (10150)Memory used [KB]: 1436
% 0.83/0.81  % (10150)Time elapsed: 0.041 s
% 0.83/0.81  % (10150)Instructions burned: 88 (million)
% 0.83/0.81  % (10150)------------------------------
% 0.83/0.81  % (10150)------------------------------
% 0.83/0.81  % (10159)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.83/0.82  % (10159)Refutation not found, incomplete strategy% (10159)------------------------------
% 0.83/0.82  % (10159)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/0.82  % (10159)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.82  
% 0.83/0.82  % (10159)Memory used [KB]: 1078
% 0.83/0.82  % (10159)Time elapsed: 0.006 s
% 0.83/0.82  % (10159)Instructions burned: 7 (million)
% 0.83/0.82  % (10159)------------------------------
% 0.83/0.82  % (10159)------------------------------
% 0.83/0.82  % (10157)Instruction limit reached!
% 0.83/0.82  % (10157)------------------------------
% 0.83/0.82  % (10157)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/0.82  % (10157)Termination reason: Unknown
% 0.83/0.82  % (10157)Termination phase: Saturation
% 0.83/0.82  
% 0.83/0.82  % (10157)Memory used [KB]: 1334
% 0.83/0.82  % (10157)Time elapsed: 0.023 s
% 0.83/0.82  % (10157)Instructions burned: 83 (million)
% 0.83/0.82  % (10157)------------------------------
% 0.83/0.82  % (10157)------------------------------
% 0.83/0.82  % (10161)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.83/0.82  % (10161)Refutation not found, incomplete strategy% (10161)------------------------------
% 0.83/0.82  % (10161)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/0.82  % (10160)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.83/0.82  % (10161)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.82  
% 0.83/0.82  % (10161)Memory used [KB]: 982
% 0.83/0.82  % (10161)Time elapsed: 0.002 s
% 0.83/0.82  % (10161)Instructions burned: 4 (million)
% 0.83/0.82  % (10161)------------------------------
% 0.83/0.82  % (10161)------------------------------
% 0.83/0.83  % (10162)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2995ds/132Mi)
% 0.83/0.83  % (10148)Instruction limit reached!
% 0.83/0.83  % (10148)------------------------------
% 0.83/0.83  % (10148)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/0.83  % (10148)Termination reason: Unknown
% 0.83/0.83  % (10148)Termination phase: Saturation
% 0.83/0.83  
% 0.83/0.83  % (10148)Memory used [KB]: 2986
% 0.83/0.83  % (10148)Time elapsed: 0.079 s
% 0.83/0.83  % (10148)Instructions burned: 102 (million)
% 0.83/0.83  % (10148)------------------------------
% 0.83/0.83  % (10148)------------------------------
% 0.83/0.83  % (10162)Refutation not found, incomplete strategy% (10162)------------------------------
% 0.83/0.83  % (10162)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/0.83  % (10162)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.83  
% 0.83/0.83  % (10162)Memory used [KB]: 965
% 0.83/0.83  % (10162)Time elapsed: 0.002 s
% 0.83/0.83  % (10162)Instructions burned: 4 (million)
% 0.83/0.83  % (10162)------------------------------
% 0.83/0.83  % (10162)------------------------------
% 0.83/0.83  % (10158)Instruction limit reached!
% 0.83/0.83  % (10158)------------------------------
% 0.83/0.83  % (10158)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/0.83  % (10158)Termination reason: Unknown
% 0.83/0.83  % (10158)Termination phase: Saturation
% 0.83/0.83  
% 0.83/0.83  % (10158)Memory used [KB]: 1543
% 0.83/0.83  % (10158)Time elapsed: 0.022 s
% 0.83/0.83  % (10158)Instructions burned: 37 (million)
% 0.83/0.83  % (10158)------------------------------
% 0.83/0.83  % (10158)------------------------------
% 0.83/0.83  % (10164)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2995ds/82Mi)
% 0.83/0.83  % (10163)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2995ds/54Mi)
% 0.83/0.83  % (10165)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2995ds/119Mi)
% 0.83/0.83  % (10163)Refutation not found, incomplete strategy% (10163)------------------------------
% 0.83/0.83  % (10163)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/0.83  % (10163)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.83  
% 0.83/0.83  % (10163)Memory used [KB]: 987
% 0.83/0.83  % (10163)Time elapsed: 0.004 s
% 0.83/0.83  % (10163)Instructions burned: 4 (million)
% 0.83/0.83  % (10163)------------------------------
% 0.83/0.83  % (10163)------------------------------
% 1.04/0.83  % (10151)Instruction limit reached!
% 1.04/0.83  % (10151)------------------------------
% 1.04/0.83  % (10151)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.04/0.83  % (10151)Termination reason: Unknown
% 1.04/0.83  % (10151)Termination phase: Saturation
% 1.04/0.83  
% 1.04/0.83  % (10151)Memory used [KB]: 2576
% 1.04/0.83  % (10151)Time elapsed: 0.063 s
% 1.04/0.83  % (10151)Instructions burned: 110 (million)
% 1.04/0.83  % (10151)------------------------------
% 1.04/0.83  % (10151)------------------------------
% 1.04/0.84  % (10155)First to succeed.
% 1.04/0.84  % (10166)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2995ds/177Mi)
% 1.04/0.84  % (10167)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2995ds/117Mi)
% 1.04/0.84  % (10155)Refutation found. Thanks to Tanya!
% 1.04/0.84  % SZS status Unsatisfiable for Vampire---4
% 1.04/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 1.04/0.84  % (10155)------------------------------
% 1.04/0.84  % (10155)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.04/0.84  % (10155)Termination reason: Refutation
% 1.04/0.84  
% 1.04/0.84  % (10155)Memory used [KB]: 1533
% 1.04/0.84  % (10155)Time elapsed: 0.076 s
% 1.04/0.84  % (10155)Instructions burned: 92 (million)
% 1.04/0.84  % (10155)------------------------------
% 1.04/0.84  % (10155)------------------------------
% 1.04/0.84  % (10120)Success in time 0.474 s
% 1.04/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------