TSTP Solution File: GRP312-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP312-1 : TPTP v8.2.0. 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 : n003.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 : Mon May 20 21:08:02 EDT 2024

% Result   : Unsatisfiable 1.46s 0.93s
% Output   : Refutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  112
% Syntax   : Number of formulae    :  570 (  74 unt;   0 def)
%            Number of atoms       : 2128 ( 766 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives : 2987 (1429   ~;1533   |;   0   &)
%                                         (  25 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   27 (  25 usr;  26 prp; 0-2 aty)
%            Number of functors    :   38 (  38 usr;  30 con; 0-2 aty)
%            Number of variables   :  180 ( 180   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2509,plain,
    $false,
    inference(avatar_sat_refutation,[],[f193,f198,f203,f208,f213,f218,f223,f228,f233,f238,f239,f240,f241,f242,f244,f245,f246,f247,f252,f253,f254,f255,f256,f258,f259,f260,f261,f267,f268,f269,f270,f272,f273,f274,f275,f281,f282,f283,f284,f285,f286,f287,f288,f289,f295,f296,f298,f299,f300,f301,f302,f303,f309,f310,f312,f313,f314,f315,f316,f317,f332,f643,f700,f706,f712,f959,f1060,f1205,f1248,f1249,f1672,f1684,f1802,f1834,f1836,f1859,f1929,f1938,f2023,f2028,f2328,f2403,f2506]) ).

fof(f2506,plain,
    ( ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(avatar_contradiction_clause,[],[f2505]) ).

fof(f2505,plain,
    ( $false
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(trivial_inequality_removal,[],[f2504]) ).

fof(f2504,plain,
    ( identity != identity
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(duplicate_literal_removal,[],[f2495]) ).

fof(f2495,plain,
    ( identity != identity
    | identity != identity
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(superposition,[],[f2422,f855]) ).

fof(f855,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f491]) ).

fof(f491,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(backward_demodulation,[],[f462,f467]) ).

fof(f467,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f401,f401]) ).

fof(f401,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f387,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f387,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/benchmark/theBenchmark.p',associativity) ).

fof(f462,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f401,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f2422,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | inverse(X0) != X0 )
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f2421,f491]) ).

fof(f2421,plain,
    ( ! [X0] :
        ( inverse(X0) != X0
        | identity != inverse(multiply(X0,identity)) )
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f2420,f491]) ).

fof(f2420,plain,
    ( ! [X0] :
        ( inverse(X0) != multiply(X0,identity)
        | identity != inverse(multiply(X0,identity)) )
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(trivial_inequality_removal,[],[f2413]) ).

fof(f2413,plain,
    ( ! [X0] :
        ( identity != identity
        | inverse(X0) != multiply(X0,identity)
        | identity != inverse(multiply(X0,identity)) )
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(superposition,[],[f2407,f855]) ).

fof(f2407,plain,
    ( ! [X10,X8] :
        ( identity != inverse(X8)
        | inverse(X10) != multiply(X10,inverse(X8))
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f2406,f2021]) ).

fof(f2021,plain,
    ( identity = sk_c12
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f357,f1867]) ).

fof(f1867,plain,
    ( identity = sF22(identity)
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f1866,f1864]) ).

fof(f1864,plain,
    ( identity = sF1
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f183,f1861]) ).

fof(f1861,plain,
    ( identity = sk_c10
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f265,f1860]) ).

fof(f1860,plain,
    ( identity = sF13
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f1762,f892]) ).

fof(f892,plain,
    ( identity = sk_c2
    | ~ spl23_26 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f891,plain,
    ( spl23_26
  <=> identity = sk_c2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_26])]) ).

fof(f1762,plain,
    ( sk_c2 = sF13
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f174,f1692]) ).

fof(f1692,plain,
    ( ! [X7] : sF21(X7) = X7
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f1691,f491]) ).

fof(f1691,plain,
    ( ! [X7] : sF21(X7) = multiply(X7,identity)
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f168,f1208]) ).

fof(f1208,plain,
    ( identity = sk_c11
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f1207,f1206]) ).

fof(f1206,plain,
    ( sk_c11 = sF22(sk_c1)
    | ~ spl23_12 ),
    inference(forward_demodulation,[],[f175,f237]) ).

fof(f237,plain,
    ( sk_c11 = sF11
    | ~ spl23_12 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl23_12
  <=> sk_c11 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).

fof(f175,plain,
    sF11 = sF22(sk_c1),
    inference(forward_demodulation,[],[f98,f169]) ).

fof(f169,plain,
    ! [X6] : multiply(X6,sk_c12) = sF22(X6),
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

fof(f98,plain,
    multiply(sk_c1,sk_c12) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f1207,plain,
    ( identity = sF22(sk_c1)
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f1084,f169]) ).

fof(f1084,plain,
    ( identity = multiply(sk_c1,sk_c12)
    | ~ spl23_13 ),
    inference(backward_demodulation,[],[f728,f251]) ).

fof(f251,plain,
    ( sk_c12 = sF12
    | ~ spl23_13 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl23_13
  <=> sk_c12 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).

fof(f728,plain,
    identity = multiply(sk_c1,sF12),
    inference(backward_demodulation,[],[f376,f727]) ).

fof(f727,plain,
    identity = sF20(sk_c1),
    inference(forward_demodulation,[],[f725,f376]) ).

fof(f725,plain,
    identity = multiply(sk_c1,sF12),
    inference(superposition,[],[f2,f665]) ).

fof(f665,plain,
    sk_c1 = inverse(sF12),
    inference(forward_demodulation,[],[f478,f491]) ).

fof(f478,plain,
    sk_c1 = multiply(inverse(sF12),identity),
    inference(superposition,[],[f401,f348]) ).

fof(f348,plain,
    identity = multiply(sF12,sk_c1),
    inference(superposition,[],[f2,f109]) ).

fof(f109,plain,
    inverse(sk_c1) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f376,plain,
    sF20(sk_c1) = multiply(sk_c1,sF12),
    inference(superposition,[],[f167,f109]) ).

fof(f167,plain,
    ! [X8] : multiply(X8,inverse(X8)) = sF20(X8),
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f168,plain,
    ! [X7] : multiply(X7,sk_c11) = sF21(X7),
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f174,plain,
    sF13 = sF21(sk_c2),
    inference(forward_demodulation,[],[f120,f168]) ).

fof(f120,plain,
    multiply(sk_c2,sk_c11) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f265,plain,
    ( sk_c10 = sF13
    | ~ spl23_14 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f263,plain,
    ( spl23_14
  <=> sk_c10 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).

fof(f183,plain,
    ( sk_c10 = sF1
    | ~ spl23_1 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f181,plain,
    ( spl23_1
  <=> sk_c10 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).

fof(f1866,plain,
    ( sF1 = sF22(identity)
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f178,f1208]) ).

fof(f178,plain,
    sF1 = sF22(sk_c11),
    inference(forward_demodulation,[],[f78,f169]) ).

fof(f78,plain,
    multiply(sk_c11,sk_c12) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f357,plain,
    sk_c12 = sF22(identity),
    inference(superposition,[],[f169,f1]) ).

fof(f2406,plain,
    ( ! [X10,X8] :
        ( sk_c12 != inverse(X8)
        | inverse(X10) != multiply(X10,inverse(X8))
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f2405,f1694]) ).

fof(f1694,plain,
    ( ! [X8] : inverse(X8) = sF19(X8)
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(backward_demodulation,[],[f171,f1692]) ).

fof(f171,plain,
    ! [X8] : sF19(X8) = sF21(inverse(X8)),
    inference(forward_demodulation,[],[f166,f168]) ).

fof(f166,plain,
    ! [X8] : multiply(inverse(X8),sk_c11) = sF19(X8),
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f2405,plain,
    ( ! [X10,X8] :
        ( inverse(X10) != multiply(X10,inverse(X8))
        | sk_c12 != sF19(X8)
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_21
    | ~ spl23_26 ),
    inference(subsumption_resolution,[],[f2404,f2021]) ).

fof(f2404,plain,
    ( ! [X10,X8] :
        ( identity != sk_c12
        | inverse(X10) != multiply(X10,inverse(X8))
        | sk_c12 != sF19(X8)
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f331,f1495]) ).

fof(f1495,plain,
    ! [X0] : identity = sF20(X0),
    inference(forward_demodulation,[],[f1486,f2]) ).

fof(f1486,plain,
    ! [X0] : sF20(X0) = multiply(inverse(inverse(X0)),inverse(X0)),
    inference(superposition,[],[f401,f468]) ).

fof(f468,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),sF20(X0)),
    inference(superposition,[],[f401,f167]) ).

fof(f331,plain,
    ( ! [X10,X8] :
        ( inverse(X10) != multiply(X10,inverse(X8))
        | sk_c12 != sF20(X8)
        | sk_c12 != sF19(X8)
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_21 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f330,plain,
    ( spl23_21
  <=> ! [X8,X10] :
        ( inverse(X10) != multiply(X10,inverse(X8))
        | sk_c12 != sF20(X8)
        | sk_c12 != sF19(X8)
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).

fof(f2403,plain,
    ( ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_20
    | ~ spl23_26 ),
    inference(avatar_contradiction_clause,[],[f2402]) ).

fof(f2402,plain,
    ( $false
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_20
    | ~ spl23_26 ),
    inference(subsumption_resolution,[],[f2401,f855]) ).

fof(f2401,plain,
    ( identity != inverse(identity)
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_20
    | ~ spl23_26 ),
    inference(equality_resolution,[],[f2398]) ).

fof(f2398,plain,
    ( ! [X5] :
        ( identity != X5
        | identity != inverse(X5) )
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_20
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f2397,f2021]) ).

fof(f2397,plain,
    ( ! [X5] :
        ( sk_c12 != X5
        | identity != inverse(X5) )
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_20 ),
    inference(forward_demodulation,[],[f2396,f1692]) ).

fof(f2396,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c12 != sF21(X5) )
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_20 ),
    inference(forward_demodulation,[],[f328,f1208]) ).

fof(f328,plain,
    ( ! [X5] :
        ( sk_c11 != inverse(X5)
        | sk_c12 != sF21(X5) )
    | ~ spl23_20 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f327,plain,
    ( spl23_20
  <=> ! [X5] :
        ( sk_c11 != inverse(X5)
        | sk_c12 != sF21(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).

fof(f2328,plain,
    ( ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_19
    | ~ spl23_26 ),
    inference(avatar_contradiction_clause,[],[f2327]) ).

fof(f2327,plain,
    ( $false
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_19
    | ~ spl23_26 ),
    inference(subsumption_resolution,[],[f2326,f855]) ).

fof(f2326,plain,
    ( identity != inverse(identity)
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_19
    | ~ spl23_26 ),
    inference(equality_resolution,[],[f2325]) ).

fof(f2325,plain,
    ( ! [X4] :
        ( identity != X4
        | identity != inverse(X4) )
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_19
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f2324,f1861]) ).

fof(f2324,plain,
    ( ! [X4] :
        ( sk_c10 != X4
        | identity != inverse(X4) )
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_19 ),
    inference(forward_demodulation,[],[f2323,f1692]) ).

fof(f2323,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c10 != sF21(X4) )
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_19 ),
    inference(forward_demodulation,[],[f325,f1208]) ).

fof(f325,plain,
    ( ! [X4] :
        ( sk_c11 != inverse(X4)
        | sk_c10 != sF21(X4) )
    | ~ spl23_19 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f324,plain,
    ( spl23_19
  <=> ! [X4] :
        ( sk_c11 != inverse(X4)
        | sk_c10 != sF21(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).

fof(f2028,plain,
    ( ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | spl23_24
    | ~ spl23_26 ),
    inference(avatar_contradiction_clause,[],[f2027]) ).

fof(f2027,plain,
    ( $false
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | spl23_24
    | ~ spl23_26 ),
    inference(subsumption_resolution,[],[f2026,f2018]) ).

fof(f2018,plain,
    ( identity != sk_c12
    | ~ spl23_13
    | spl23_24 ),
    inference(backward_demodulation,[],[f847,f251]) ).

fof(f847,plain,
    ( identity != sF12
    | spl23_24 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f845,plain,
    ( spl23_24
  <=> identity = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_24])]) ).

fof(f2026,plain,
    ( identity = sk_c12
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f2025,f892]) ).

fof(f2025,plain,
    ( sk_c12 = sk_c2
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(forward_demodulation,[],[f1104,f2024]) ).

fof(f2024,plain,
    ( sk_c12 = sk_c3
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_16 ),
    inference(forward_demodulation,[],[f1764,f293]) ).

fof(f293,plain,
    ( sk_c12 = sF15
    | ~ spl23_16 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f291,plain,
    ( spl23_16
  <=> sk_c12 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).

fof(f1764,plain,
    ( sk_c3 = sF15
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f173,f1692]) ).

fof(f173,plain,
    sF15 = sF21(sk_c3),
    inference(forward_demodulation,[],[f142,f168]) ).

fof(f142,plain,
    multiply(sk_c3,sk_c11) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f1104,plain,
    ( sk_c2 = sk_c3
    | ~ spl23_15
    | ~ spl23_17 ),
    inference(forward_demodulation,[],[f1099,f1090]) ).

fof(f1090,plain,
    ( sk_c2 = inverse(sk_c11)
    | ~ spl23_15 ),
    inference(backward_demodulation,[],[f666,f279]) ).

fof(f279,plain,
    ( sk_c11 = sF14
    | ~ spl23_15 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl23_15
  <=> sk_c11 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).

fof(f666,plain,
    sk_c2 = inverse(sF14),
    inference(forward_demodulation,[],[f479,f491]) ).

fof(f479,plain,
    sk_c2 = multiply(inverse(sF14),identity),
    inference(superposition,[],[f401,f349]) ).

fof(f349,plain,
    identity = multiply(sF14,sk_c2),
    inference(superposition,[],[f2,f131]) ).

fof(f131,plain,
    inverse(sk_c2) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f1099,plain,
    ( sk_c3 = inverse(sk_c11)
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f667,f307]) ).

fof(f307,plain,
    ( sk_c11 = sF16
    | ~ spl23_17 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f305,plain,
    ( spl23_17
  <=> sk_c11 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).

fof(f667,plain,
    sk_c3 = inverse(sF16),
    inference(forward_demodulation,[],[f480,f491]) ).

fof(f480,plain,
    sk_c3 = multiply(inverse(sF16),identity),
    inference(superposition,[],[f401,f350]) ).

fof(f350,plain,
    identity = multiply(sF16,sk_c3),
    inference(superposition,[],[f2,f153]) ).

fof(f153,plain,
    inverse(sk_c3) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f2023,plain,
    ( ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | spl23_24
    | ~ spl23_26 ),
    inference(avatar_contradiction_clause,[],[f2022]) ).

fof(f2022,plain,
    ( $false
    | ~ spl23_1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | spl23_24
    | ~ spl23_26 ),
    inference(subsumption_resolution,[],[f2021,f2018]) ).

fof(f1938,plain,
    ( spl23_22
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_24 ),
    inference(avatar_split_clause,[],[f1937,f845,f249,f235,f759]) ).

fof(f759,plain,
    ( spl23_22
  <=> identity = sk_c1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).

fof(f1937,plain,
    ( identity = sk_c1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_24 ),
    inference(forward_demodulation,[],[f1936,f1208]) ).

fof(f1936,plain,
    ( sk_c11 = sk_c1
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_24 ),
    inference(forward_demodulation,[],[f1206,f1871]) ).

fof(f1871,plain,
    ( ! [X6] : sF22(X6) = X6
    | ~ spl23_13
    | ~ spl23_24 ),
    inference(forward_demodulation,[],[f1870,f491]) ).

fof(f1870,plain,
    ( ! [X6] : sF22(X6) = multiply(X6,identity)
    | ~ spl23_13
    | ~ spl23_24 ),
    inference(backward_demodulation,[],[f169,f1752]) ).

fof(f1752,plain,
    ( identity = sk_c12
    | ~ spl23_13
    | ~ spl23_24 ),
    inference(forward_demodulation,[],[f251,f846]) ).

fof(f846,plain,
    ( identity = sF12
    | ~ spl23_24 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f1929,plain,
    ( spl23_22
    | ~ spl23_13
    | ~ spl23_24 ),
    inference(avatar_split_clause,[],[f1928,f845,f249,f759]) ).

fof(f1928,plain,
    ( identity = sk_c1
    | ~ spl23_13
    | ~ spl23_24 ),
    inference(forward_demodulation,[],[f1927,f855]) ).

fof(f1927,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl23_13
    | ~ spl23_24 ),
    inference(forward_demodulation,[],[f1081,f1752]) ).

fof(f1081,plain,
    ( sk_c1 = inverse(sk_c12)
    | ~ spl23_13 ),
    inference(backward_demodulation,[],[f665,f251]) ).

fof(f1859,plain,
    ( ~ spl23_12
    | ~ spl23_13
    | ~ spl23_18
    | ~ spl23_22 ),
    inference(avatar_contradiction_clause,[],[f1858]) ).

fof(f1858,plain,
    ( $false
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_18
    | ~ spl23_22 ),
    inference(subsumption_resolution,[],[f1857,f855]) ).

fof(f1857,plain,
    ( identity != inverse(identity)
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_18
    | ~ spl23_22 ),
    inference(equality_resolution,[],[f1756]) ).

fof(f1756,plain,
    ( ! [X3] :
        ( identity != X3
        | identity != inverse(X3) )
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_18
    | ~ spl23_22 ),
    inference(backward_demodulation,[],[f1706,f1755]) ).

fof(f1755,plain,
    ( ! [X6] : sF22(X6) = X6
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_22 ),
    inference(forward_demodulation,[],[f1754,f491]) ).

fof(f1754,plain,
    ( ! [X6] : sF22(X6) = multiply(X6,identity)
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_22 ),
    inference(forward_demodulation,[],[f169,f1705]) ).

fof(f1705,plain,
    ( identity = sk_c12
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_22 ),
    inference(forward_demodulation,[],[f1704,f855]) ).

fof(f1704,plain,
    ( sk_c12 = inverse(identity)
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_22 ),
    inference(forward_demodulation,[],[f1703,f760]) ).

fof(f760,plain,
    ( identity = sk_c1
    | ~ spl23_22 ),
    inference(avatar_component_clause,[],[f759]) ).

fof(f1703,plain,
    ( sk_c12 = inverse(sk_c1)
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f1702,f1692]) ).

fof(f1702,plain,
    ( inverse(sk_c1) = sF21(sk_c12)
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f1176,f1694]) ).

fof(f1176,plain,
    ( sF21(sk_c12) = sF19(sk_c1)
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f366,f251]) ).

fof(f366,plain,
    sF19(sk_c1) = sF21(sF12),
    inference(superposition,[],[f171,f109]) ).

fof(f1706,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | identity != sF22(X3) )
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_18
    | ~ spl23_22 ),
    inference(backward_demodulation,[],[f1685,f1705]) ).

fof(f1685,plain,
    ( ! [X3] :
        ( identity != sF22(X3)
        | sk_c12 != inverse(X3) )
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_18 ),
    inference(backward_demodulation,[],[f322,f1208]) ).

fof(f322,plain,
    ( ! [X3] :
        ( sk_c12 != inverse(X3)
        | sk_c11 != sF22(X3) )
    | ~ spl23_18 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl23_18
  <=> ! [X3] :
        ( sk_c12 != inverse(X3)
        | sk_c11 != sF22(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).

fof(f1836,plain,
    ( spl23_26
    | ~ spl23_15
    | ~ spl23_17
    | ~ spl23_32 ),
    inference(avatar_split_clause,[],[f1778,f970,f305,f277,f891]) ).

fof(f970,plain,
    ( spl23_32
  <=> identity = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).

fof(f1778,plain,
    ( identity = sk_c2
    | ~ spl23_15
    | ~ spl23_17
    | ~ spl23_32 ),
    inference(forward_demodulation,[],[f1104,f971]) ).

fof(f971,plain,
    ( identity = sk_c3
    | ~ spl23_32 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f1834,plain,
    ( spl23_26
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15 ),
    inference(avatar_split_clause,[],[f1785,f277,f249,f235,f891]) ).

fof(f1785,plain,
    ( identity = sk_c2
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15 ),
    inference(forward_demodulation,[],[f1784,f491]) ).

fof(f1784,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15 ),
    inference(forward_demodulation,[],[f1093,f1208]) ).

fof(f1093,plain,
    ( identity = multiply(sk_c2,sk_c11)
    | ~ spl23_15 ),
    inference(backward_demodulation,[],[f738,f279]) ).

fof(f738,plain,
    identity = multiply(sk_c2,sF14),
    inference(backward_demodulation,[],[f377,f737]) ).

fof(f737,plain,
    identity = sF20(sk_c2),
    inference(forward_demodulation,[],[f735,f377]) ).

fof(f735,plain,
    identity = multiply(sk_c2,sF14),
    inference(superposition,[],[f2,f666]) ).

fof(f377,plain,
    sF20(sk_c2) = multiply(sk_c2,sF14),
    inference(superposition,[],[f167,f131]) ).

fof(f1802,plain,
    ( ~ spl23_4
    | spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(avatar_contradiction_clause,[],[f1801]) ).

fof(f1801,plain,
    ( $false
    | ~ spl23_4
    | spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(subsumption_resolution,[],[f1800,f1208]) ).

fof(f1800,plain,
    ( identity != sk_c11
    | ~ spl23_4
    | spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f201,f1799]) ).

fof(f1799,plain,
    ( identity = sF4
    | ~ spl23_4
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f1798,f855]) ).

fof(f1798,plain,
    ( sF4 = inverse(identity)
    | ~ spl23_4
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f84,f1775]) ).

fof(f1775,plain,
    ( identity = sk_c5
    | ~ spl23_4
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(backward_demodulation,[],[f1761,f1774]) ).

fof(f1774,plain,
    ( identity = sk_c10
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_14
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f265,f1763]) ).

fof(f1763,plain,
    ( identity = sF13
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_26 ),
    inference(forward_demodulation,[],[f1762,f892]) ).

fof(f1761,plain,
    ( sk_c10 = sk_c5
    | ~ spl23_4
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f340,f1692]) ).

fof(f340,plain,
    ( sk_c10 = sF21(sk_c5)
    | ~ spl23_4 ),
    inference(backward_demodulation,[],[f177,f197]) ).

fof(f197,plain,
    ( sk_c10 = sF3
    | ~ spl23_4 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f195,plain,
    ( spl23_4
  <=> sk_c10 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).

fof(f177,plain,
    sF3 = sF21(sk_c5),
    inference(forward_demodulation,[],[f82,f168]) ).

fof(f82,plain,
    multiply(sk_c5,sk_c11) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f84,plain,
    inverse(sk_c5) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f201,plain,
    ( sk_c11 != sF4
    | spl23_5 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f200,plain,
    ( spl23_5
  <=> sk_c11 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).

fof(f1684,plain,
    ( ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_18 ),
    inference(avatar_contradiction_clause,[],[f1683]) ).

fof(f1683,plain,
    ( $false
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_18 ),
    inference(subsumption_resolution,[],[f1682,f855]) ).

fof(f1682,plain,
    ( identity != inverse(identity)
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_18 ),
    inference(equality_resolution,[],[f1681]) ).

fof(f1681,plain,
    ( ! [X3] :
        ( identity != X3
        | identity != inverse(X3) )
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_18 ),
    inference(forward_demodulation,[],[f1680,f1295]) ).

fof(f1295,plain,
    ( identity = sk_c11
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(forward_demodulation,[],[f1288,f855]) ).

fof(f1288,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f1158,f1266]) ).

fof(f1266,plain,
    ( identity = sk_c5
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f1159,f1262]) ).

fof(f1262,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(forward_demodulation,[],[f1261,f1240]) ).

fof(f1240,plain,
    ( sk_c11 = sk_c1
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f1206,f1236]) ).

fof(f1236,plain,
    ( ! [X6] : sF22(X6) = X6
    | ~ spl23_5
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(forward_demodulation,[],[f1215,f491]) ).

fof(f1215,plain,
    ( ! [X6] : sF22(X6) = multiply(X6,identity)
    | ~ spl23_5
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f169,f1192]) ).

fof(f1192,plain,
    ( identity = sk_c12
    | ~ spl23_5
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(forward_demodulation,[],[f1191,f1179]) ).

fof(f1179,plain,
    ( sk_c12 = sF21(sk_c5)
    | ~ spl23_5
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(forward_demodulation,[],[f1178,f293]) ).

fof(f1178,plain,
    ( sF15 = sF21(sk_c5)
    | ~ spl23_5
    | ~ spl23_15
    | ~ spl23_17 ),
    inference(forward_demodulation,[],[f173,f1165]) ).

fof(f1165,plain,
    ( sk_c5 = sk_c3
    | ~ spl23_5
    | ~ spl23_15
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f1104,f1155]) ).

fof(f1155,plain,
    ( sk_c5 = sk_c2
    | ~ spl23_5
    | ~ spl23_15 ),
    inference(forward_demodulation,[],[f579,f1090]) ).

fof(f579,plain,
    ( sk_c5 = inverse(sk_c11)
    | ~ spl23_5 ),
    inference(forward_demodulation,[],[f472,f491]) ).

fof(f472,plain,
    ( sk_c5 = multiply(inverse(sk_c11),identity)
    | ~ spl23_5 ),
    inference(superposition,[],[f401,f344]) ).

fof(f344,plain,
    ( identity = multiply(sk_c11,sk_c5)
    | ~ spl23_5 ),
    inference(superposition,[],[f2,f339]) ).

fof(f339,plain,
    ( sk_c11 = inverse(sk_c5)
    | ~ spl23_5 ),
    inference(backward_demodulation,[],[f84,f202]) ).

fof(f202,plain,
    ( sk_c11 = sF4
    | ~ spl23_5 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f1191,plain,
    ( identity = sF21(sk_c5)
    | ~ spl23_5
    | ~ spl23_15 ),
    inference(backward_demodulation,[],[f1163,f168]) ).

fof(f1163,plain,
    ( identity = multiply(sk_c5,sk_c11)
    | ~ spl23_5
    | ~ spl23_15 ),
    inference(backward_demodulation,[],[f1093,f1155]) ).

fof(f1261,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl23_5
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(forward_demodulation,[],[f1229,f1]) ).

fof(f1229,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl23_5
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f1080,f1192]) ).

fof(f1080,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0
    | ~ spl23_13 ),
    inference(backward_demodulation,[],[f419,f251]) ).

fof(f419,plain,
    ! [X0] : multiply(sF12,multiply(sk_c1,X0)) = X0,
    inference(forward_demodulation,[],[f418,f1]) ).

fof(f418,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF12,multiply(sk_c1,X0)),
    inference(superposition,[],[f3,f348]) ).

fof(f1159,plain,
    ( identity = multiply(sk_c11,sk_c5)
    | ~ spl23_5
    | ~ spl23_15 ),
    inference(backward_demodulation,[],[f1088,f1155]) ).

fof(f1088,plain,
    ( identity = multiply(sk_c11,sk_c2)
    | ~ spl23_15 ),
    inference(backward_demodulation,[],[f349,f279]) ).

fof(f1158,plain,
    ( sk_c11 = inverse(sk_c5)
    | ~ spl23_5
    | ~ spl23_15 ),
    inference(backward_demodulation,[],[f1087,f1155]) ).

fof(f1087,plain,
    ( sk_c11 = inverse(sk_c2)
    | ~ spl23_15 ),
    inference(backward_demodulation,[],[f131,f279]) ).

fof(f1680,plain,
    ( ! [X3] :
        ( sk_c11 != X3
        | identity != inverse(X3) )
    | ~ spl23_5
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_18 ),
    inference(forward_demodulation,[],[f1679,f1236]) ).

fof(f1679,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c11 != sF22(X3) )
    | ~ spl23_5
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_18 ),
    inference(forward_demodulation,[],[f322,f1192]) ).

fof(f1672,plain,
    ( ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(avatar_contradiction_clause,[],[f1671]) ).

fof(f1671,plain,
    ( $false
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(trivial_inequality_removal,[],[f1670]) ).

fof(f1670,plain,
    ( identity != identity
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(duplicate_literal_removal,[],[f1664]) ).

fof(f1664,plain,
    ( identity != identity
    | identity != identity
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(superposition,[],[f1427,f855]) ).

fof(f1427,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | inverse(X0) != X0 )
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f1426,f491]) ).

fof(f1426,plain,
    ( ! [X0] :
        ( identity != inverse(multiply(X0,identity))
        | inverse(X0) != X0 )
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f1425,f855]) ).

fof(f1425,plain,
    ( ! [X0] :
        ( inverse(X0) != X0
        | inverse(identity) != inverse(multiply(X0,inverse(identity))) )
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f1424,f491]) ).

fof(f1424,plain,
    ( ! [X0] :
        ( inverse(X0) != multiply(X0,identity)
        | inverse(identity) != inverse(multiply(X0,inverse(identity))) )
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f1423,f855]) ).

fof(f1423,plain,
    ( ! [X0] :
        ( inverse(X0) != multiply(X0,inverse(identity))
        | inverse(identity) != inverse(multiply(X0,inverse(identity))) )
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(subsumption_resolution,[],[f1422,f855]) ).

fof(f1422,plain,
    ( ! [X0] :
        ( identity != inverse(identity)
        | inverse(X0) != multiply(X0,inverse(identity))
        | inverse(identity) != inverse(multiply(X0,inverse(identity))) )
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(trivial_inequality_removal,[],[f1420]) ).

fof(f1420,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(identity)
        | inverse(X0) != multiply(X0,inverse(identity))
        | inverse(identity) != inverse(multiply(X0,inverse(identity))) )
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(superposition,[],[f1312,f1145]) ).

fof(f1145,plain,
    identity = sF20(identity),
    inference(backward_demodulation,[],[f929,f855]) ).

fof(f929,plain,
    inverse(identity) = sF20(identity),
    inference(forward_demodulation,[],[f921,f350]) ).

fof(f921,plain,
    sF20(multiply(sF16,sk_c3)) = inverse(multiply(sF16,sk_c3)),
    inference(superposition,[],[f395,f423]) ).

fof(f423,plain,
    ! [X0] : multiply(sF16,multiply(sk_c3,X0)) = X0,
    inference(forward_demodulation,[],[f422,f1]) ).

fof(f422,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF16,multiply(sk_c3,X0)),
    inference(superposition,[],[f3,f350]) ).

fof(f395,plain,
    ! [X0,X1] : sF20(multiply(X0,X1)) = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f167]) ).

fof(f1312,plain,
    ( ! [X10,X8] :
        ( identity != sF20(X8)
        | identity != inverse(X8)
        | inverse(X10) != multiply(X10,inverse(X8))
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(backward_demodulation,[],[f1250,f1309]) ).

fof(f1309,plain,
    ( ! [X8] : inverse(X8) = sF19(X8)
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f171,f1307]) ).

fof(f1307,plain,
    ( ! [X7] : sF21(X7) = X7
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(forward_demodulation,[],[f1296,f491]) ).

fof(f1296,plain,
    ( ! [X7] : sF21(X7) = multiply(X7,identity)
    | ~ spl23_5
    | ~ spl23_12
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f168,f1295]) ).

fof(f1250,plain,
    ( ! [X10,X8] :
        ( identity != sF20(X8)
        | identity != sF19(X8)
        | inverse(X10) != multiply(X10,inverse(X8))
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_5
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f1220,f1192]) ).

fof(f1220,plain,
    ( ! [X10,X8] :
        ( identity != sF19(X8)
        | inverse(X10) != multiply(X10,inverse(X8))
        | sk_c12 != sF20(X8)
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_5
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17
    | ~ spl23_21 ),
    inference(backward_demodulation,[],[f331,f1192]) ).

fof(f1249,plain,
    ( spl23_24
    | ~ spl23_5
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(avatar_split_clause,[],[f1218,f305,f291,f277,f249,f200,f845]) ).

fof(f1218,plain,
    ( identity = sF12
    | ~ spl23_5
    | ~ spl23_13
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f251,f1192]) ).

fof(f1248,plain,
    ( ~ spl23_5
    | ~ spl23_6
    | spl23_7
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(avatar_contradiction_clause,[],[f1247]) ).

fof(f1247,plain,
    ( $false
    | ~ spl23_5
    | ~ spl23_6
    | spl23_7
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(subsumption_resolution,[],[f1241,f211]) ).

fof(f211,plain,
    ( sk_c9 != sF6
    | spl23_7 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl23_7
  <=> sk_c9 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).

fof(f1241,plain,
    ( sk_c9 = sF6
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_15
    | ~ spl23_16
    | ~ spl23_17 ),
    inference(backward_demodulation,[],[f1138,f1236]) ).

fof(f1138,plain,
    ( sk_c9 = sF22(sF6)
    | ~ spl23_6 ),
    inference(forward_demodulation,[],[f655,f88]) ).

fof(f88,plain,
    inverse(sk_c6) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

fof(f655,plain,
    ( sk_c9 = sF22(inverse(sk_c6))
    | ~ spl23_6 ),
    inference(forward_demodulation,[],[f475,f169]) ).

fof(f475,plain,
    ( sk_c9 = multiply(inverse(sk_c6),sk_c12)
    | ~ spl23_6 ),
    inference(superposition,[],[f401,f338]) ).

fof(f338,plain,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | ~ spl23_6 ),
    inference(backward_demodulation,[],[f86,f207]) ).

fof(f207,plain,
    ( sk_c12 = sF5
    | ~ spl23_6 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl23_6
  <=> sk_c12 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).

fof(f86,plain,
    multiply(sk_c6,sk_c9) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f1205,plain,
    ( spl23_2
    | ~ spl23_3
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(avatar_split_clause,[],[f1204,f249,f235,f190,f185]) ).

fof(f185,plain,
    ( spl23_2
  <=> sk_c11 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).

fof(f190,plain,
    ( spl23_3
  <=> sk_c12 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).

fof(f1204,plain,
    ( sk_c11 = sF0
    | ~ spl23_3
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f179,f1140]) ).

fof(f1140,plain,
    ( sk_c11 = sF22(sk_c4)
    | ~ spl23_3
    | ~ spl23_12
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f1139,f237]) ).

fof(f1139,plain,
    ( sF11 = sF22(sk_c4)
    | ~ spl23_3
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f175,f1128]) ).

fof(f1128,plain,
    ( sk_c4 = sk_c1
    | ~ spl23_3
    | ~ spl23_13 ),
    inference(forward_demodulation,[],[f501,f1081]) ).

fof(f501,plain,
    ( sk_c4 = inverse(sk_c12)
    | ~ spl23_3 ),
    inference(forward_demodulation,[],[f471,f491]) ).

fof(f471,plain,
    ( sk_c4 = multiply(inverse(sk_c12),identity)
    | ~ spl23_3 ),
    inference(superposition,[],[f401,f343]) ).

fof(f343,plain,
    ( identity = multiply(sk_c12,sk_c4)
    | ~ spl23_3 ),
    inference(superposition,[],[f2,f341]) ).

fof(f341,plain,
    ( sk_c12 = inverse(sk_c4)
    | ~ spl23_3 ),
    inference(backward_demodulation,[],[f80,f192]) ).

fof(f192,plain,
    ( sk_c12 = sF2
    | ~ spl23_3 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f80,plain,
    inverse(sk_c4) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f179,plain,
    sF0 = sF22(sk_c4),
    inference(forward_demodulation,[],[f77,f169]) ).

fof(f77,plain,
    multiply(sk_c4,sk_c12) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f1060,plain,
    ( spl23_32
    | ~ spl23_1
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_16 ),
    inference(avatar_split_clause,[],[f1059,f291,f200,f195,f190,f185,f181,f970]) ).

fof(f1059,plain,
    ( identity = sk_c3
    | ~ spl23_1
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_16 ),
    inference(forward_demodulation,[],[f1058,f976]) ).

fof(f976,plain,
    ( identity = sk_c12
    | ~ spl23_1
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5 ),
    inference(forward_demodulation,[],[f560,f975]) ).

fof(f975,plain,
    ( identity = sF1
    | ~ spl23_1
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5 ),
    inference(forward_demodulation,[],[f183,f564]) ).

fof(f564,plain,
    ( identity = sk_c10
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5 ),
    inference(forward_demodulation,[],[f563,f520]) ).

fof(f520,plain,
    ( sk_c10 = sk_c5
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4 ),
    inference(backward_demodulation,[],[f340,f517]) ).

fof(f517,plain,
    ( ! [X7] : sF21(X7) = X7
    | ~ spl23_2
    | ~ spl23_3 ),
    inference(forward_demodulation,[],[f504,f491]) ).

fof(f504,plain,
    ( ! [X7] : sF21(X7) = multiply(X7,identity)
    | ~ spl23_2
    | ~ spl23_3 ),
    inference(backward_demodulation,[],[f168,f503]) ).

fof(f503,plain,
    ( identity = sk_c11
    | ~ spl23_2
    | ~ spl23_3 ),
    inference(forward_demodulation,[],[f502,f342]) ).

fof(f342,plain,
    ( sk_c11 = sF22(sk_c4)
    | ~ spl23_2 ),
    inference(backward_demodulation,[],[f179,f187]) ).

fof(f187,plain,
    ( sk_c11 = sF0
    | ~ spl23_2 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f502,plain,
    ( identity = sF22(sk_c4)
    | ~ spl23_3 ),
    inference(backward_demodulation,[],[f358,f501]) ).

fof(f358,plain,
    identity = sF22(inverse(sk_c12)),
    inference(superposition,[],[f169,f2]) ).

fof(f563,plain,
    ( identity = sk_c5
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_5 ),
    inference(forward_demodulation,[],[f510,f1]) ).

fof(f510,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_5 ),
    inference(backward_demodulation,[],[f344,f503]) ).

fof(f560,plain,
    ( sk_c12 = sF1
    | ~ spl23_2
    | ~ spl23_3 ),
    inference(forward_demodulation,[],[f505,f357]) ).

fof(f505,plain,
    ( sF1 = sF22(identity)
    | ~ spl23_2
    | ~ spl23_3 ),
    inference(backward_demodulation,[],[f178,f503]) ).

fof(f1058,plain,
    ( sk_c12 = sk_c3
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_16 ),
    inference(forward_demodulation,[],[f293,f524]) ).

fof(f524,plain,
    ( sk_c3 = sF15
    | ~ spl23_2
    | ~ spl23_3 ),
    inference(backward_demodulation,[],[f173,f517]) ).

fof(f959,plain,
    ( ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(avatar_contradiction_clause,[],[f958]) ).

fof(f958,plain,
    ( $false
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(trivial_inequality_removal,[],[f957]) ).

fof(f957,plain,
    ( identity != identity
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(duplicate_literal_removal,[],[f950]) ).

fof(f950,plain,
    ( identity != identity
    | identity != identity
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(superposition,[],[f722,f565]) ).

fof(f565,plain,
    ( identity = inverse(identity)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5 ),
    inference(backward_demodulation,[],[f562,f564]) ).

fof(f562,plain,
    ( identity = inverse(sk_c10)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5 ),
    inference(forward_demodulation,[],[f508,f520]) ).

fof(f508,plain,
    ( identity = inverse(sk_c5)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_5 ),
    inference(backward_demodulation,[],[f339,f503]) ).

fof(f722,plain,
    ( ! [X0] :
        ( identity != inverse(X0)
        | inverse(X0) != X0 )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f721,f491]) ).

fof(f721,plain,
    ( ! [X0] :
        ( identity != inverse(multiply(X0,identity))
        | inverse(X0) != X0 )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f720,f565]) ).

fof(f720,plain,
    ( ! [X0] :
        ( inverse(X0) != X0
        | inverse(identity) != inverse(multiply(X0,inverse(identity))) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f719,f491]) ).

fof(f719,plain,
    ( ! [X0] :
        ( inverse(X0) != multiply(X0,identity)
        | inverse(identity) != inverse(multiply(X0,inverse(identity))) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f718,f565]) ).

fof(f718,plain,
    ( ! [X0] :
        ( inverse(X0) != multiply(X0,inverse(identity))
        | inverse(identity) != inverse(multiply(X0,inverse(identity))) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(subsumption_resolution,[],[f717,f565]) ).

fof(f717,plain,
    ( ! [X0] :
        ( identity != inverse(identity)
        | inverse(X0) != multiply(X0,inverse(identity))
        | inverse(identity) != inverse(multiply(X0,inverse(identity))) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(trivial_inequality_removal,[],[f716]) ).

fof(f716,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(identity)
        | inverse(X0) != multiply(X0,inverse(identity))
        | inverse(identity) != inverse(multiply(X0,inverse(identity))) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(superposition,[],[f715,f571]) ).

fof(f571,plain,
    ( identity = sF20(identity)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5 ),
    inference(backward_demodulation,[],[f379,f565]) ).

fof(f379,plain,
    inverse(identity) = sF20(identity),
    inference(superposition,[],[f167,f1]) ).

fof(f715,plain,
    ( ! [X10,X8] :
        ( identity != sF20(X8)
        | identity != inverse(X8)
        | inverse(X10) != multiply(X10,inverse(X8))
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f714,f641]) ).

fof(f641,plain,
    ( identity = sk_c12
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(forward_demodulation,[],[f631,f357]) ).

fof(f631,plain,
    ( identity = sF22(identity)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(backward_demodulation,[],[f509,f626]) ).

fof(f626,plain,
    ( identity = sk_c4
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(backward_demodulation,[],[f343,f622]) ).

fof(f622,plain,
    ( ! [X0] : multiply(sk_c12,X0) = X0
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(forward_demodulation,[],[f621,f620]) ).

fof(f620,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c12,multiply(sk_c12,X0))) = X0
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(backward_demodulation,[],[f404,f619]) ).

fof(f619,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c12,multiply(sk_c12,X0))
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(forward_demodulation,[],[f605,f611]) ).

fof(f611,plain,
    ( sk_c4 = sk_c7
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(forward_demodulation,[],[f602,f501]) ).

fof(f602,plain,
    ( sk_c7 = inverse(sk_c12)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(backward_demodulation,[],[f335,f601]) ).

fof(f601,plain,
    ( sk_c12 = sk_c8
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(forward_demodulation,[],[f600,f531]) ).

fof(f531,plain,
    ( sk_c12 = sk_c9
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8 ),
    inference(forward_demodulation,[],[f529,f337]) ).

fof(f337,plain,
    ( sk_c9 = inverse(sk_c6)
    | ~ spl23_7 ),
    inference(backward_demodulation,[],[f88,f212]) ).

fof(f212,plain,
    ( sk_c9 = sF6
    | ~ spl23_7 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f529,plain,
    ( sk_c12 = inverse(sk_c6)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8 ),
    inference(backward_demodulation,[],[f369,f519]) ).

fof(f519,plain,
    ( ! [X8] : inverse(X8) = sF19(X8)
    | ~ spl23_2
    | ~ spl23_3 ),
    inference(backward_demodulation,[],[f171,f517]) ).

fof(f369,plain,
    ( sk_c12 = sF19(sk_c6)
    | ~ spl23_7
    | ~ spl23_8 ),
    inference(forward_demodulation,[],[f363,f336]) ).

fof(f336,plain,
    ( sk_c12 = sF21(sk_c9)
    | ~ spl23_8 ),
    inference(backward_demodulation,[],[f176,f217]) ).

fof(f217,plain,
    ( sk_c12 = sF7
    | ~ spl23_8 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl23_8
  <=> sk_c12 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).

fof(f176,plain,
    sF7 = sF21(sk_c9),
    inference(forward_demodulation,[],[f90,f168]) ).

fof(f90,plain,
    multiply(sk_c9,sk_c11) = sF7,
    introduced(function_definition,[new_symbols(definition,[sF7])]) ).

fof(f363,plain,
    ( sF21(sk_c9) = sF19(sk_c6)
    | ~ spl23_7 ),
    inference(superposition,[],[f171,f337]) ).

fof(f600,plain,
    ( sk_c9 = sk_c8
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(forward_demodulation,[],[f599,f491]) ).

fof(f599,plain,
    ( sk_c9 = multiply(sk_c8,identity)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(forward_demodulation,[],[f598,f539]) ).

fof(f539,plain,
    ( identity = multiply(sk_c12,sk_c7)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_10 ),
    inference(backward_demodulation,[],[f347,f531]) ).

fof(f347,plain,
    ( identity = multiply(sk_c9,sk_c7)
    | ~ spl23_10 ),
    inference(superposition,[],[f2,f334]) ).

fof(f334,plain,
    ( sk_c9 = inverse(sk_c7)
    | ~ spl23_10 ),
    inference(backward_demodulation,[],[f94,f227]) ).

fof(f227,plain,
    ( sk_c9 = sF9
    | ~ spl23_10 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl23_10
  <=> sk_c9 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).

fof(f94,plain,
    inverse(sk_c7) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f598,plain,
    ( sk_c9 = multiply(sk_c8,multiply(sk_c12,sk_c7))
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_11 ),
    inference(forward_demodulation,[],[f597,f540]) ).

fof(f540,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c12,X0))
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_11 ),
    inference(backward_demodulation,[],[f393,f531]) ).

fof(f393,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = multiply(sk_c7,X0)
    | ~ spl23_11 ),
    inference(superposition,[],[f3,f333]) ).

fof(f333,plain,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | ~ spl23_11 ),
    inference(backward_demodulation,[],[f96,f232]) ).

fof(f232,plain,
    ( sk_c7 = sF10
    | ~ spl23_11 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl23_11
  <=> sk_c7 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).

fof(f96,plain,
    multiply(sk_c8,sk_c9) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f597,plain,
    ( sk_c9 = multiply(sk_c7,sk_c7)
    | ~ spl23_9
    | ~ spl23_11 ),
    inference(forward_demodulation,[],[f474,f335]) ).

fof(f474,plain,
    ( sk_c9 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl23_11 ),
    inference(superposition,[],[f401,f333]) ).

fof(f335,plain,
    ( inverse(sk_c8) = sk_c7
    | ~ spl23_9 ),
    inference(backward_demodulation,[],[f92,f222]) ).

fof(f222,plain,
    ( sk_c7 = sF8
    | ~ spl23_9 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl23_9
  <=> sk_c7 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).

fof(f92,plain,
    inverse(sk_c8) = sF8,
    introduced(function_definition,[new_symbols(definition,[sF8])]) ).

fof(f605,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c12,multiply(sk_c12,X0))
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(backward_demodulation,[],[f540,f601]) ).

fof(f404,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c4,X0)) = X0
    | ~ spl23_3 ),
    inference(forward_demodulation,[],[f392,f1]) ).

fof(f392,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c4,X0))
    | ~ spl23_3 ),
    inference(superposition,[],[f3,f343]) ).

fof(f621,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c12,multiply(sk_c12,X0)))
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(backward_demodulation,[],[f588,f619]) ).

fof(f588,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c4,multiply(sk_c12,X0))
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8 ),
    inference(backward_demodulation,[],[f541,f584]) ).

fof(f584,plain,
    ( sk_c4 = sk_c6
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8 ),
    inference(forward_demodulation,[],[f583,f501]) ).

fof(f583,plain,
    ( sk_c6 = inverse(sk_c12)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_7
    | ~ spl23_8 ),
    inference(forward_demodulation,[],[f582,f531]) ).

fof(f582,plain,
    ( sk_c6 = inverse(sk_c9)
    | ~ spl23_7 ),
    inference(forward_demodulation,[],[f473,f491]) ).

fof(f473,plain,
    ( sk_c6 = multiply(inverse(sk_c9),identity)
    | ~ spl23_7 ),
    inference(superposition,[],[f401,f345]) ).

fof(f345,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | ~ spl23_7 ),
    inference(superposition,[],[f2,f337]) ).

fof(f541,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c6,multiply(sk_c12,X0))
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8 ),
    inference(backward_demodulation,[],[f394,f531]) ).

fof(f394,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c9,X0)) = multiply(sk_c12,X0)
    | ~ spl23_6 ),
    inference(superposition,[],[f3,f338]) ).

fof(f509,plain,
    ( identity = sF22(sk_c4)
    | ~ spl23_2
    | ~ spl23_3 ),
    inference(backward_demodulation,[],[f342,f503]) ).

fof(f714,plain,
    ( ! [X10,X8] :
        ( sk_c12 != inverse(X8)
        | identity != sF20(X8)
        | inverse(X10) != multiply(X10,inverse(X8))
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f713,f519]) ).

fof(f713,plain,
    ( ! [X10,X8] :
        ( identity != sF20(X8)
        | inverse(X10) != multiply(X10,inverse(X8))
        | sk_c12 != sF19(X8)
        | inverse(X8) != inverse(multiply(X10,inverse(X8))) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_21 ),
    inference(forward_demodulation,[],[f331,f641]) ).

fof(f712,plain,
    ( ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_20 ),
    inference(avatar_contradiction_clause,[],[f711]) ).

fof(f711,plain,
    ( $false
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_20 ),
    inference(subsumption_resolution,[],[f710,f565]) ).

fof(f710,plain,
    ( identity != inverse(identity)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_20 ),
    inference(equality_resolution,[],[f709]) ).

fof(f709,plain,
    ( ! [X5] :
        ( identity != X5
        | identity != inverse(X5) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_20 ),
    inference(forward_demodulation,[],[f708,f641]) ).

fof(f708,plain,
    ( ! [X5] :
        ( sk_c12 != X5
        | identity != inverse(X5) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_20 ),
    inference(forward_demodulation,[],[f707,f517]) ).

fof(f707,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c12 != sF21(X5) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_20 ),
    inference(forward_demodulation,[],[f328,f503]) ).

fof(f706,plain,
    ( ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_19 ),
    inference(avatar_contradiction_clause,[],[f705]) ).

fof(f705,plain,
    ( $false
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_19 ),
    inference(subsumption_resolution,[],[f704,f565]) ).

fof(f704,plain,
    ( identity != inverse(identity)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_19 ),
    inference(equality_resolution,[],[f703]) ).

fof(f703,plain,
    ( ! [X4] :
        ( identity != X4
        | identity != inverse(X4) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_19 ),
    inference(forward_demodulation,[],[f702,f564]) ).

fof(f702,plain,
    ( ! [X4] :
        ( sk_c10 != X4
        | identity != inverse(X4) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_19 ),
    inference(forward_demodulation,[],[f701,f517]) ).

fof(f701,plain,
    ( ! [X4] :
        ( identity != inverse(X4)
        | sk_c10 != sF21(X4) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_19 ),
    inference(forward_demodulation,[],[f325,f503]) ).

fof(f700,plain,
    ( ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_18 ),
    inference(avatar_contradiction_clause,[],[f699]) ).

fof(f699,plain,
    ( $false
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_18 ),
    inference(subsumption_resolution,[],[f698,f565]) ).

fof(f698,plain,
    ( identity != inverse(identity)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_18 ),
    inference(equality_resolution,[],[f691]) ).

fof(f691,plain,
    ( ! [X3] :
        ( identity != X3
        | identity != inverse(X3) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_18 ),
    inference(forward_demodulation,[],[f690,f503]) ).

fof(f690,plain,
    ( ! [X3] :
        ( sk_c11 != X3
        | identity != inverse(X3) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_18 ),
    inference(forward_demodulation,[],[f689,f686]) ).

fof(f686,plain,
    ( ! [X6] : sF22(X6) = X6
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(forward_demodulation,[],[f672,f491]) ).

fof(f672,plain,
    ( ! [X6] : sF22(X6) = multiply(X6,identity)
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(backward_demodulation,[],[f169,f641]) ).

fof(f689,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c11 != sF22(X3) )
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11
    | ~ spl23_18 ),
    inference(forward_demodulation,[],[f322,f641]) ).

fof(f643,plain,
    ( spl23_1
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(avatar_contradiction_clause,[],[f642]) ).

fof(f642,plain,
    ( $false
    | spl23_1
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5
    | ~ spl23_6
    | ~ spl23_7
    | ~ spl23_8
    | ~ spl23_9
    | ~ spl23_10
    | ~ spl23_11 ),
    inference(subsumption_resolution,[],[f641,f566]) ).

fof(f566,plain,
    ( identity != sk_c12
    | spl23_1
    | ~ spl23_2
    | ~ spl23_3
    | ~ spl23_4
    | ~ spl23_5 ),
    inference(backward_demodulation,[],[f561,f564]) ).

fof(f561,plain,
    ( sk_c12 != sk_c10
    | spl23_1
    | ~ spl23_2
    | ~ spl23_3 ),
    inference(backward_demodulation,[],[f182,f560]) ).

fof(f182,plain,
    ( sk_c10 != sF1
    | spl23_1 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f332,plain,
    ( ~ spl23_1
    | spl23_18
    | spl23_19
    | spl23_20
    | spl23_18
    | spl23_19
    | spl23_21 ),
    inference(avatar_split_clause,[],[f319,f330,f324,f321,f327,f324,f321,f181]) ).

fof(f319,plain,
    ! [X3,X10,X8,X6,X7,X4,X5] :
      ( inverse(X10) != multiply(X10,inverse(X8))
      | inverse(X8) != inverse(multiply(X10,inverse(X8)))
      | sk_c12 != sF19(X8)
      | sk_c12 != sF20(X8)
      | sk_c11 != inverse(X7)
      | sk_c10 != sF21(X7)
      | sk_c12 != inverse(X6)
      | sk_c11 != sF22(X6)
      | sk_c11 != inverse(X5)
      | sk_c12 != sF21(X5)
      | sk_c11 != inverse(X4)
      | sk_c10 != sF21(X4)
      | sk_c12 != inverse(X3)
      | sk_c11 != sF22(X3)
      | sk_c10 != sF1 ),
    inference(forward_demodulation,[],[f318,f164]) ).

fof(f164,plain,
    ! [X10,X8] : multiply(X10,inverse(X8)) = sF17(X10,X8),
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f318,plain,
    ! [X3,X10,X8,X6,X7,X4,X5] :
      ( inverse(X8) != inverse(multiply(X10,inverse(X8)))
      | inverse(X10) != sF17(X10,X8)
      | sk_c12 != sF19(X8)
      | sk_c12 != sF20(X8)
      | sk_c11 != inverse(X7)
      | sk_c10 != sF21(X7)
      | sk_c12 != inverse(X6)
      | sk_c11 != sF22(X6)
      | sk_c11 != inverse(X5)
      | sk_c12 != sF21(X5)
      | sk_c11 != inverse(X4)
      | sk_c10 != sF21(X4)
      | sk_c12 != inverse(X3)
      | sk_c11 != sF22(X3)
      | sk_c10 != sF1 ),
    inference(forward_demodulation,[],[f170,f172]) ).

fof(f172,plain,
    ! [X10,X8] : inverse(multiply(X10,inverse(X8))) = sF18(X10,X8),
    inference(backward_demodulation,[],[f165,f164]) ).

fof(f165,plain,
    ! [X10,X8] : inverse(sF17(X10,X8)) = sF18(X10,X8),
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f170,plain,
    ! [X3,X10,X8,X6,X7,X4,X5] :
      ( inverse(X8) != sF18(X10,X8)
      | inverse(X10) != sF17(X10,X8)
      | sk_c12 != sF19(X8)
      | sk_c12 != sF20(X8)
      | sk_c11 != inverse(X7)
      | sk_c10 != sF21(X7)
      | sk_c12 != inverse(X6)
      | sk_c11 != sF22(X6)
      | sk_c11 != inverse(X5)
      | sk_c12 != sF21(X5)
      | sk_c11 != inverse(X4)
      | sk_c10 != sF21(X4)
      | sk_c12 != inverse(X3)
      | sk_c11 != sF22(X3)
      | sk_c10 != sF1 ),
    inference(definition_folding,[],[f76,f78,f169,f168,f168,f169,f168,f167,f166,f164,f165,f164]) ).

fof(f76,plain,
    ! [X3,X10,X8,X6,X7,X4,X5] :
      ( inverse(X8) != inverse(multiply(X10,inverse(X8)))
      | inverse(X10) != multiply(X10,inverse(X8))
      | sk_c12 != multiply(inverse(X8),sk_c11)
      | sk_c12 != multiply(X8,inverse(X8))
      | sk_c11 != inverse(X7)
      | sk_c10 != multiply(X7,sk_c11)
      | sk_c12 != inverse(X6)
      | sk_c11 != multiply(X6,sk_c12)
      | sk_c11 != inverse(X5)
      | sk_c12 != multiply(X5,sk_c11)
      | sk_c11 != inverse(X4)
      | sk_c10 != multiply(X4,sk_c11)
      | sk_c12 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c12)
      | multiply(sk_c11,sk_c12) != sk_c10 ),
    inference(equality_resolution,[],[f75]) ).

fof(f75,plain,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( inverse(multiply(X10,X9)) != X9
      | inverse(X10) != multiply(X10,X9)
      | sk_c12 != multiply(X9,sk_c11)
      | inverse(X8) != X9
      | sk_c12 != multiply(X8,X9)
      | sk_c11 != inverse(X7)
      | sk_c10 != multiply(X7,sk_c11)
      | sk_c12 != inverse(X6)
      | sk_c11 != multiply(X6,sk_c12)
      | sk_c11 != inverse(X5)
      | sk_c12 != multiply(X5,sk_c11)
      | sk_c11 != inverse(X4)
      | sk_c10 != multiply(X4,sk_c11)
      | sk_c12 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c12)
      | multiply(sk_c11,sk_c12) != sk_c10 ),
    inference(equality_resolution,[],[f74]) ).

fof(f74,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( multiply(X10,X9) != X11
      | inverse(X11) != X9
      | inverse(X10) != X11
      | sk_c12 != multiply(X9,sk_c11)
      | inverse(X8) != X9
      | sk_c12 != multiply(X8,X9)
      | sk_c11 != inverse(X7)
      | sk_c10 != multiply(X7,sk_c11)
      | sk_c12 != inverse(X6)
      | sk_c11 != multiply(X6,sk_c12)
      | sk_c11 != inverse(X5)
      | sk_c12 != multiply(X5,sk_c11)
      | sk_c11 != inverse(X4)
      | sk_c10 != multiply(X4,sk_c11)
      | sk_c12 != inverse(X3)
      | sk_c11 != multiply(X3,sk_c12)
      | multiply(sk_c11,sk_c12) != sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_71) ).

fof(f317,plain,
    ( spl23_17
    | spl23_11 ),
    inference(avatar_split_clause,[],[f163,f230,f305]) ).

fof(f163,plain,
    ( sk_c7 = sF10
    | sk_c11 = sF16 ),
    inference(definition_folding,[],[f73,f153,f96]) ).

fof(f73,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_70) ).

fof(f316,plain,
    ( spl23_17
    | spl23_10 ),
    inference(avatar_split_clause,[],[f162,f225,f305]) ).

fof(f162,plain,
    ( sk_c9 = sF9
    | sk_c11 = sF16 ),
    inference(definition_folding,[],[f72,f153,f94]) ).

fof(f72,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_69) ).

fof(f315,plain,
    ( spl23_17
    | spl23_9 ),
    inference(avatar_split_clause,[],[f161,f220,f305]) ).

fof(f161,plain,
    ( sk_c7 = sF8
    | sk_c11 = sF16 ),
    inference(definition_folding,[],[f71,f153,f92]) ).

fof(f71,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_68) ).

fof(f314,plain,
    ( spl23_17
    | spl23_8 ),
    inference(avatar_split_clause,[],[f160,f215,f305]) ).

fof(f160,plain,
    ( sk_c12 = sF7
    | sk_c11 = sF16 ),
    inference(definition_folding,[],[f70,f153,f90]) ).

fof(f70,axiom,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_67) ).

fof(f313,plain,
    ( spl23_17
    | spl23_7 ),
    inference(avatar_split_clause,[],[f159,f210,f305]) ).

fof(f159,plain,
    ( sk_c9 = sF6
    | sk_c11 = sF16 ),
    inference(definition_folding,[],[f69,f153,f88]) ).

fof(f69,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_66) ).

fof(f312,plain,
    ( spl23_17
    | spl23_6 ),
    inference(avatar_split_clause,[],[f158,f205,f305]) ).

fof(f158,plain,
    ( sk_c12 = sF5
    | sk_c11 = sF16 ),
    inference(definition_folding,[],[f68,f153,f86]) ).

fof(f68,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_65) ).

fof(f310,plain,
    ( spl23_17
    | spl23_4 ),
    inference(avatar_split_clause,[],[f156,f195,f305]) ).

fof(f156,plain,
    ( sk_c10 = sF3
    | sk_c11 = sF16 ),
    inference(definition_folding,[],[f66,f153,f82]) ).

fof(f66,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c11)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_63) ).

fof(f309,plain,
    ( spl23_17
    | spl23_3 ),
    inference(avatar_split_clause,[],[f155,f190,f305]) ).

fof(f155,plain,
    ( sk_c12 = sF2
    | sk_c11 = sF16 ),
    inference(definition_folding,[],[f65,f153,f80]) ).

fof(f65,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c11 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_62) ).

fof(f303,plain,
    ( spl23_16
    | spl23_11 ),
    inference(avatar_split_clause,[],[f152,f230,f291]) ).

fof(f152,plain,
    ( sk_c7 = sF10
    | sk_c12 = sF15 ),
    inference(definition_folding,[],[f63,f142,f96]) ).

fof(f63,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c12 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).

fof(f302,plain,
    ( spl23_16
    | spl23_10 ),
    inference(avatar_split_clause,[],[f151,f225,f291]) ).

fof(f151,plain,
    ( sk_c9 = sF9
    | sk_c12 = sF15 ),
    inference(definition_folding,[],[f62,f142,f94]) ).

fof(f62,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c12 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).

fof(f301,plain,
    ( spl23_16
    | spl23_9 ),
    inference(avatar_split_clause,[],[f150,f220,f291]) ).

fof(f150,plain,
    ( sk_c7 = sF8
    | sk_c12 = sF15 ),
    inference(definition_folding,[],[f61,f142,f92]) ).

fof(f61,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c12 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).

fof(f300,plain,
    ( spl23_16
    | spl23_8 ),
    inference(avatar_split_clause,[],[f149,f215,f291]) ).

fof(f149,plain,
    ( sk_c12 = sF7
    | sk_c12 = sF15 ),
    inference(definition_folding,[],[f60,f142,f90]) ).

fof(f60,axiom,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | sk_c12 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).

fof(f299,plain,
    ( spl23_16
    | spl23_7 ),
    inference(avatar_split_clause,[],[f148,f210,f291]) ).

fof(f148,plain,
    ( sk_c9 = sF6
    | sk_c12 = sF15 ),
    inference(definition_folding,[],[f59,f142,f88]) ).

fof(f59,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c12 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).

fof(f298,plain,
    ( spl23_16
    | spl23_6 ),
    inference(avatar_split_clause,[],[f147,f205,f291]) ).

fof(f147,plain,
    ( sk_c12 = sF5
    | sk_c12 = sF15 ),
    inference(definition_folding,[],[f58,f142,f86]) ).

fof(f58,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | sk_c12 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).

fof(f296,plain,
    ( spl23_16
    | spl23_4 ),
    inference(avatar_split_clause,[],[f145,f195,f291]) ).

fof(f145,plain,
    ( sk_c10 = sF3
    | sk_c12 = sF15 ),
    inference(definition_folding,[],[f56,f142,f82]) ).

fof(f56,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c11)
    | sk_c12 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).

fof(f295,plain,
    ( spl23_16
    | spl23_3 ),
    inference(avatar_split_clause,[],[f144,f190,f291]) ).

fof(f144,plain,
    ( sk_c12 = sF2
    | sk_c12 = sF15 ),
    inference(definition_folding,[],[f55,f142,f80]) ).

fof(f55,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c12 = multiply(sk_c3,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).

fof(f289,plain,
    ( spl23_15
    | spl23_11 ),
    inference(avatar_split_clause,[],[f141,f230,f277]) ).

fof(f141,plain,
    ( sk_c7 = sF10
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f53,f131,f96]) ).

fof(f53,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).

fof(f288,plain,
    ( spl23_15
    | spl23_10 ),
    inference(avatar_split_clause,[],[f140,f225,f277]) ).

fof(f140,plain,
    ( sk_c9 = sF9
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f52,f131,f94]) ).

fof(f52,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).

fof(f287,plain,
    ( spl23_15
    | spl23_9 ),
    inference(avatar_split_clause,[],[f139,f220,f277]) ).

fof(f139,plain,
    ( sk_c7 = sF8
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f51,f131,f92]) ).

fof(f51,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).

fof(f286,plain,
    ( spl23_15
    | spl23_8 ),
    inference(avatar_split_clause,[],[f138,f215,f277]) ).

fof(f138,plain,
    ( sk_c12 = sF7
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f50,f131,f90]) ).

fof(f50,axiom,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).

fof(f285,plain,
    ( spl23_15
    | spl23_7 ),
    inference(avatar_split_clause,[],[f137,f210,f277]) ).

fof(f137,plain,
    ( sk_c9 = sF6
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f49,f131,f88]) ).

fof(f49,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).

fof(f284,plain,
    ( spl23_15
    | spl23_6 ),
    inference(avatar_split_clause,[],[f136,f205,f277]) ).

fof(f136,plain,
    ( sk_c12 = sF5
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f48,f131,f86]) ).

fof(f48,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).

fof(f283,plain,
    ( spl23_15
    | spl23_5 ),
    inference(avatar_split_clause,[],[f135,f200,f277]) ).

fof(f135,plain,
    ( sk_c11 = sF4
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f47,f131,f84]) ).

fof(f47,axiom,
    ( sk_c11 = inverse(sk_c5)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).

fof(f282,plain,
    ( spl23_15
    | spl23_4 ),
    inference(avatar_split_clause,[],[f134,f195,f277]) ).

fof(f134,plain,
    ( sk_c10 = sF3
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f46,f131,f82]) ).

fof(f46,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c11)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).

fof(f281,plain,
    ( spl23_15
    | spl23_3 ),
    inference(avatar_split_clause,[],[f133,f190,f277]) ).

fof(f133,plain,
    ( sk_c12 = sF2
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f45,f131,f80]) ).

fof(f45,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f275,plain,
    ( spl23_14
    | spl23_11 ),
    inference(avatar_split_clause,[],[f130,f230,f263]) ).

fof(f130,plain,
    ( sk_c7 = sF10
    | sk_c10 = sF13 ),
    inference(definition_folding,[],[f43,f120,f96]) ).

fof(f43,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c10 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

fof(f274,plain,
    ( spl23_14
    | spl23_10 ),
    inference(avatar_split_clause,[],[f129,f225,f263]) ).

fof(f129,plain,
    ( sk_c9 = sF9
    | sk_c10 = sF13 ),
    inference(definition_folding,[],[f42,f120,f94]) ).

fof(f42,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c10 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).

fof(f273,plain,
    ( spl23_14
    | spl23_9 ),
    inference(avatar_split_clause,[],[f128,f220,f263]) ).

fof(f128,plain,
    ( sk_c7 = sF8
    | sk_c10 = sF13 ),
    inference(definition_folding,[],[f41,f120,f92]) ).

fof(f41,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c10 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).

fof(f272,plain,
    ( spl23_14
    | spl23_8 ),
    inference(avatar_split_clause,[],[f127,f215,f263]) ).

fof(f127,plain,
    ( sk_c12 = sF7
    | sk_c10 = sF13 ),
    inference(definition_folding,[],[f40,f120,f90]) ).

fof(f40,axiom,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | sk_c10 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f270,plain,
    ( spl23_14
    | spl23_6 ),
    inference(avatar_split_clause,[],[f125,f205,f263]) ).

fof(f125,plain,
    ( sk_c12 = sF5
    | sk_c10 = sF13 ),
    inference(definition_folding,[],[f38,f120,f86]) ).

fof(f38,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | sk_c10 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f269,plain,
    ( spl23_14
    | spl23_5 ),
    inference(avatar_split_clause,[],[f124,f200,f263]) ).

fof(f124,plain,
    ( sk_c11 = sF4
    | sk_c10 = sF13 ),
    inference(definition_folding,[],[f37,f120,f84]) ).

fof(f37,axiom,
    ( sk_c11 = inverse(sk_c5)
    | sk_c10 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f268,plain,
    ( spl23_14
    | spl23_4 ),
    inference(avatar_split_clause,[],[f123,f195,f263]) ).

fof(f123,plain,
    ( sk_c10 = sF3
    | sk_c10 = sF13 ),
    inference(definition_folding,[],[f36,f120,f82]) ).

fof(f36,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c11)
    | sk_c10 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f267,plain,
    ( spl23_14
    | spl23_3 ),
    inference(avatar_split_clause,[],[f122,f190,f263]) ).

fof(f122,plain,
    ( sk_c12 = sF2
    | sk_c10 = sF13 ),
    inference(definition_folding,[],[f35,f120,f80]) ).

fof(f35,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f261,plain,
    ( spl23_13
    | spl23_11 ),
    inference(avatar_split_clause,[],[f119,f230,f249]) ).

fof(f119,plain,
    ( sk_c7 = sF10
    | sk_c12 = sF12 ),
    inference(definition_folding,[],[f33,f109,f96]) ).

fof(f33,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f260,plain,
    ( spl23_13
    | spl23_10 ),
    inference(avatar_split_clause,[],[f118,f225,f249]) ).

fof(f118,plain,
    ( sk_c9 = sF9
    | sk_c12 = sF12 ),
    inference(definition_folding,[],[f32,f109,f94]) ).

fof(f32,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f259,plain,
    ( spl23_13
    | spl23_9 ),
    inference(avatar_split_clause,[],[f117,f220,f249]) ).

fof(f117,plain,
    ( sk_c7 = sF8
    | sk_c12 = sF12 ),
    inference(definition_folding,[],[f31,f109,f92]) ).

fof(f31,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f258,plain,
    ( spl23_13
    | spl23_8 ),
    inference(avatar_split_clause,[],[f116,f215,f249]) ).

fof(f116,plain,
    ( sk_c12 = sF7
    | sk_c12 = sF12 ),
    inference(definition_folding,[],[f30,f109,f90]) ).

fof(f30,axiom,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f256,plain,
    ( spl23_13
    | spl23_6 ),
    inference(avatar_split_clause,[],[f114,f205,f249]) ).

fof(f114,plain,
    ( sk_c12 = sF5
    | sk_c12 = sF12 ),
    inference(definition_folding,[],[f28,f109,f86]) ).

fof(f28,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f255,plain,
    ( spl23_13
    | spl23_5 ),
    inference(avatar_split_clause,[],[f113,f200,f249]) ).

fof(f113,plain,
    ( sk_c11 = sF4
    | sk_c12 = sF12 ),
    inference(definition_folding,[],[f27,f109,f84]) ).

fof(f27,axiom,
    ( sk_c11 = inverse(sk_c5)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f254,plain,
    ( spl23_13
    | spl23_4 ),
    inference(avatar_split_clause,[],[f112,f195,f249]) ).

fof(f112,plain,
    ( sk_c10 = sF3
    | sk_c12 = sF12 ),
    inference(definition_folding,[],[f26,f109,f82]) ).

fof(f26,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c11)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f253,plain,
    ( spl23_13
    | spl23_3 ),
    inference(avatar_split_clause,[],[f111,f190,f249]) ).

fof(f111,plain,
    ( sk_c12 = sF2
    | sk_c12 = sF12 ),
    inference(definition_folding,[],[f25,f109,f80]) ).

fof(f25,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f252,plain,
    ( spl23_13
    | spl23_2 ),
    inference(avatar_split_clause,[],[f110,f185,f249]) ).

fof(f110,plain,
    ( sk_c11 = sF0
    | sk_c12 = sF12 ),
    inference(definition_folding,[],[f24,f109,f77]) ).

fof(f24,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | sk_c12 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f247,plain,
    ( spl23_12
    | spl23_11 ),
    inference(avatar_split_clause,[],[f108,f230,f235]) ).

fof(f108,plain,
    ( sk_c7 = sF10
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f23,f98,f96]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | sk_c11 = multiply(sk_c1,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f246,plain,
    ( spl23_12
    | spl23_10 ),
    inference(avatar_split_clause,[],[f107,f225,f235]) ).

fof(f107,plain,
    ( sk_c9 = sF9
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f22,f98,f94]) ).

fof(f22,axiom,
    ( sk_c9 = inverse(sk_c7)
    | sk_c11 = multiply(sk_c1,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f245,plain,
    ( spl23_12
    | spl23_9 ),
    inference(avatar_split_clause,[],[f106,f220,f235]) ).

fof(f106,plain,
    ( sk_c7 = sF8
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f21,f98,f92]) ).

fof(f21,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c11 = multiply(sk_c1,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f244,plain,
    ( spl23_12
    | spl23_8 ),
    inference(avatar_split_clause,[],[f105,f215,f235]) ).

fof(f105,plain,
    ( sk_c12 = sF7
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f20,f98,f90]) ).

fof(f20,axiom,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | sk_c11 = multiply(sk_c1,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f242,plain,
    ( spl23_12
    | spl23_6 ),
    inference(avatar_split_clause,[],[f103,f205,f235]) ).

fof(f103,plain,
    ( sk_c12 = sF5
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f18,f98,f86]) ).

fof(f18,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | sk_c11 = multiply(sk_c1,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f241,plain,
    ( spl23_12
    | spl23_5 ),
    inference(avatar_split_clause,[],[f102,f200,f235]) ).

fof(f102,plain,
    ( sk_c11 = sF4
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f17,f98,f84]) ).

fof(f17,axiom,
    ( sk_c11 = inverse(sk_c5)
    | sk_c11 = multiply(sk_c1,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f240,plain,
    ( spl23_12
    | spl23_4 ),
    inference(avatar_split_clause,[],[f101,f195,f235]) ).

fof(f101,plain,
    ( sk_c10 = sF3
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f16,f98,f82]) ).

fof(f16,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c11)
    | sk_c11 = multiply(sk_c1,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f239,plain,
    ( spl23_12
    | spl23_3 ),
    inference(avatar_split_clause,[],[f100,f190,f235]) ).

fof(f100,plain,
    ( sk_c12 = sF2
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f15,f98,f80]) ).

fof(f15,axiom,
    ( sk_c12 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c1,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f238,plain,
    ( spl23_12
    | spl23_2 ),
    inference(avatar_split_clause,[],[f99,f185,f235]) ).

fof(f99,plain,
    ( sk_c11 = sF0
    | sk_c11 = sF11 ),
    inference(definition_folding,[],[f14,f98,f77]) ).

fof(f14,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c12)
    | sk_c11 = multiply(sk_c1,sk_c12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f233,plain,
    ( spl23_1
    | spl23_11 ),
    inference(avatar_split_clause,[],[f97,f230,f181]) ).

fof(f97,plain,
    ( sk_c7 = sF10
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f13,f78,f96]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c9)
    | multiply(sk_c11,sk_c12) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f228,plain,
    ( spl23_1
    | spl23_10 ),
    inference(avatar_split_clause,[],[f95,f225,f181]) ).

fof(f95,plain,
    ( sk_c9 = sF9
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f12,f78,f94]) ).

fof(f12,axiom,
    ( sk_c9 = inverse(sk_c7)
    | multiply(sk_c11,sk_c12) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f223,plain,
    ( spl23_1
    | spl23_9 ),
    inference(avatar_split_clause,[],[f93,f220,f181]) ).

fof(f93,plain,
    ( sk_c7 = sF8
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f11,f78,f92]) ).

fof(f11,axiom,
    ( inverse(sk_c8) = sk_c7
    | multiply(sk_c11,sk_c12) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f218,plain,
    ( spl23_1
    | spl23_8 ),
    inference(avatar_split_clause,[],[f91,f215,f181]) ).

fof(f91,plain,
    ( sk_c12 = sF7
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f10,f78,f90]) ).

fof(f10,axiom,
    ( sk_c12 = multiply(sk_c9,sk_c11)
    | multiply(sk_c11,sk_c12) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f213,plain,
    ( spl23_1
    | spl23_7 ),
    inference(avatar_split_clause,[],[f89,f210,f181]) ).

fof(f89,plain,
    ( sk_c9 = sF6
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f9,f78,f88]) ).

fof(f9,axiom,
    ( sk_c9 = inverse(sk_c6)
    | multiply(sk_c11,sk_c12) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f208,plain,
    ( spl23_1
    | spl23_6 ),
    inference(avatar_split_clause,[],[f87,f205,f181]) ).

fof(f87,plain,
    ( sk_c12 = sF5
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f8,f78,f86]) ).

fof(f8,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c9)
    | multiply(sk_c11,sk_c12) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f203,plain,
    ( spl23_1
    | spl23_5 ),
    inference(avatar_split_clause,[],[f85,f200,f181]) ).

fof(f85,plain,
    ( sk_c11 = sF4
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f7,f78,f84]) ).

fof(f7,axiom,
    ( sk_c11 = inverse(sk_c5)
    | multiply(sk_c11,sk_c12) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f198,plain,
    ( spl23_1
    | spl23_4 ),
    inference(avatar_split_clause,[],[f83,f195,f181]) ).

fof(f83,plain,
    ( sk_c10 = sF3
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f6,f78,f82]) ).

fof(f6,axiom,
    ( sk_c10 = multiply(sk_c5,sk_c11)
    | multiply(sk_c11,sk_c12) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f193,plain,
    ( spl23_1
    | spl23_3 ),
    inference(avatar_split_clause,[],[f81,f190,f181]) ).

fof(f81,plain,
    ( sk_c12 = sF2
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f5,f78,f80]) ).

fof(f5,axiom,
    ( sk_c12 = inverse(sk_c4)
    | multiply(sk_c11,sk_c12) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GRP312-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.15  % 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 : n003.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   : Sun May 19 04:18:08 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/benchmark/theBenchmark.p
% 0.55/0.74  % (31223)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 theBenchmark for (2996ds/83Mi)
% 0.55/0.74  % (31217)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.74  % (31219)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74  % (31218)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 theBenchmark for (2996ds/51Mi)
% 0.55/0.74  % (31220)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.74  % (31221)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.74  % (31222)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.74  % (31217)Refutation not found, incomplete strategy% (31217)------------------------------
% 0.55/0.74  % (31217)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (31220)Refutation not found, incomplete strategy% (31220)------------------------------
% 0.55/0.74  % (31220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (31217)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (31217)Memory used [KB]: 1120
% 0.55/0.74  % (31217)Time elapsed: 0.004 s
% 0.55/0.74  % (31217)Instructions burned: 6 (million)
% 0.55/0.74  % (31220)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (31220)Memory used [KB]: 1032
% 0.55/0.74  % (31220)Time elapsed: 0.004 s
% 0.55/0.74  % (31220)Instructions burned: 6 (million)
% 0.55/0.74  % (31217)------------------------------
% 0.55/0.74  % (31217)------------------------------
% 0.55/0.74  % (31221)Refutation not found, incomplete strategy% (31221)------------------------------
% 0.55/0.74  % (31221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (31221)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (31221)Memory used [KB]: 1120
% 0.55/0.74  % (31221)Time elapsed: 0.005 s
% 0.55/0.74  % (31221)Instructions burned: 7 (million)
% 0.55/0.74  % (31220)------------------------------
% 0.55/0.74  % (31220)------------------------------
% 0.55/0.74  % (31221)------------------------------
% 0.55/0.74  % (31221)------------------------------
% 0.55/0.74  % (31219)Refutation not found, incomplete strategy% (31219)------------------------------
% 0.55/0.74  % (31219)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (31222)Refutation not found, incomplete strategy% (31222)------------------------------
% 0.55/0.74  % (31222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (31222)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (31222)Memory used [KB]: 1107
% 0.55/0.74  % (31222)Time elapsed: 0.005 s
% 0.55/0.74  % (31222)Instructions burned: 8 (million)
% 0.55/0.74  % (31219)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (31219)Memory used [KB]: 1108
% 0.55/0.74  % (31219)Time elapsed: 0.006 s
% 0.55/0.74  % (31219)Instructions burned: 8 (million)
% 0.55/0.74  % (31222)------------------------------
% 0.55/0.74  % (31222)------------------------------
% 0.55/0.74  % (31219)------------------------------
% 0.55/0.74  % (31219)------------------------------
% 0.55/0.75  % (31227)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.75  % (31224)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.75  % (31225)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.75  % (31228)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 theBenchmark for (2996ds/52Mi)
% 0.55/0.75  % (31229)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 theBenchmark for (2996ds/518Mi)
% 0.55/0.75  % (31224)Refutation not found, incomplete strategy% (31224)------------------------------
% 0.55/0.75  % (31224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (31224)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (31224)Memory used [KB]: 1103
% 0.55/0.75  % (31224)Time elapsed: 0.005 s
% 0.55/0.75  % (31224)Instructions burned: 6 (million)
% 0.55/0.75  % (31224)------------------------------
% 0.55/0.75  % (31224)------------------------------
% 0.55/0.75  % (31226)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 theBenchmark for (2996ds/50Mi)
% 0.55/0.75  % (31225)Refutation not found, incomplete strategy% (31225)------------------------------
% 0.55/0.75  % (31225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (31225)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (31225)Memory used [KB]: 1111
% 0.55/0.75  % (31225)Time elapsed: 0.007 s
% 0.55/0.75  % (31225)Instructions burned: 8 (million)
% 0.55/0.75  % (31225)------------------------------
% 0.55/0.75  % (31225)------------------------------
% 0.55/0.75  % (31229)Refutation not found, incomplete strategy% (31229)------------------------------
% 0.55/0.75  % (31229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (31229)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (31228)Refutation not found, incomplete strategy% (31228)------------------------------
% 0.55/0.75  % (31228)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (31228)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (31228)Memory used [KB]: 1108
% 0.55/0.75  % (31228)Time elapsed: 0.006 s
% 0.55/0.75  % (31228)Instructions burned: 8 (million)
% 0.55/0.75  % (31229)Memory used [KB]: 1106
% 0.55/0.75  % (31229)Time elapsed: 0.006 s
% 0.55/0.75  % (31229)Instructions burned: 8 (million)
% 0.55/0.75  % (31228)------------------------------
% 0.55/0.75  % (31228)------------------------------
% 0.55/0.75  % (31229)------------------------------
% 0.55/0.75  % (31229)------------------------------
% 0.55/0.75  % (31227)Refutation not found, incomplete strategy% (31227)------------------------------
% 0.55/0.75  % (31227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (31227)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (31227)Memory used [KB]: 1140
% 0.55/0.75  % (31227)Time elapsed: 0.009 s
% 0.55/0.75  % (31227)Instructions burned: 13 (million)
% 0.55/0.76  % (31230)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 theBenchmark for (2996ds/42Mi)
% 0.55/0.76  % (31227)------------------------------
% 0.55/0.76  % (31227)------------------------------
% 0.55/0.76  % (31226)Refutation not found, incomplete strategy% (31226)------------------------------
% 0.55/0.76  % (31226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (31226)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (31226)Memory used [KB]: 1095
% 0.55/0.76  % (31226)Time elapsed: 0.007 s
% 0.55/0.76  % (31226)Instructions burned: 12 (million)
% 0.55/0.76  % (31231)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 theBenchmark for (2996ds/243Mi)
% 0.55/0.76  % (31226)------------------------------
% 0.55/0.76  % (31226)------------------------------
% 0.55/0.76  % (31232)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.55/0.76  % (31230)Refutation not found, incomplete strategy% (31230)------------------------------
% 0.55/0.76  % (31230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (31230)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (31230)Memory used [KB]: 1122
% 0.55/0.76  % (31230)Time elapsed: 0.004 s
% 0.55/0.76  % (31230)Instructions burned: 6 (million)
% 0.55/0.76  % (31230)------------------------------
% 0.55/0.76  % (31230)------------------------------
% 0.55/0.76  % (31233)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 theBenchmark for (2996ds/143Mi)
% 0.68/0.76  % (31234)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 theBenchmark for (2996ds/93Mi)
% 0.68/0.76  % (31232)Refutation not found, incomplete strategy% (31232)------------------------------
% 0.68/0.76  % (31232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76  % (31232)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.76  
% 0.68/0.76  % (31232)Memory used [KB]: 1041
% 0.68/0.76  % (31232)Time elapsed: 0.005 s
% 0.68/0.76  % (31232)Instructions burned: 6 (million)
% 0.68/0.76  % (31232)------------------------------
% 0.68/0.76  % (31232)------------------------------
% 0.68/0.76  % (31235)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 theBenchmark for (2996ds/62Mi)
% 0.68/0.76  % (31233)Refutation not found, incomplete strategy% (31233)------------------------------
% 0.68/0.76  % (31233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76  % (31233)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.76  
% 0.68/0.76  % (31233)Memory used [KB]: 1123
% 0.68/0.76  % (31233)Time elapsed: 0.004 s
% 0.68/0.76  % (31233)Instructions burned: 6 (million)
% 0.68/0.76  % (31233)------------------------------
% 0.68/0.76  % (31233)------------------------------
% 0.68/0.76  % (31236)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 theBenchmark for (2996ds/32Mi)
% 0.68/0.76  % (31235)Refutation not found, incomplete strategy% (31235)------------------------------
% 0.68/0.76  % (31235)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76  % (31235)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.76  
% 0.68/0.76  % (31235)Memory used [KB]: 1104
% 0.68/0.76  % (31235)Time elapsed: 0.004 s
% 0.68/0.76  % (31235)Instructions burned: 4 (million)
% 0.68/0.76  % (31223)Instruction limit reached!
% 0.68/0.76  % (31223)------------------------------
% 0.68/0.76  % (31223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76  % (31223)Termination reason: Unknown
% 0.68/0.76  % (31223)Termination phase: Saturation
% 0.68/0.76  
% 0.68/0.76  % (31223)Memory used [KB]: 1999
% 0.68/0.76  % (31223)Time elapsed: 0.026 s
% 0.68/0.76  % (31223)Instructions burned: 86 (million)
% 0.68/0.76  % (31223)------------------------------
% 0.68/0.76  % (31223)------------------------------
% 0.68/0.76  % (31235)------------------------------
% 0.68/0.76  % (31235)------------------------------
% 0.68/0.76  % (31237)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 theBenchmark for (2996ds/1919Mi)
% 0.68/0.77  % (31238)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 theBenchmark for (2996ds/55Mi)
% 0.68/0.77  % (31239)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 theBenchmark for (2996ds/53Mi)
% 0.68/0.77  % (31236)Refutation not found, incomplete strategy% (31236)------------------------------
% 0.68/0.77  % (31236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (31236)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (31236)Memory used [KB]: 1117
% 0.68/0.77  % (31236)Time elapsed: 0.006 s
% 0.68/0.77  % (31236)Instructions burned: 8 (million)
% 0.68/0.77  % (31218)Instruction limit reached!
% 0.68/0.77  % (31218)------------------------------
% 0.68/0.77  % (31218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (31236)------------------------------
% 0.68/0.77  % (31236)------------------------------
% 0.68/0.77  % (31218)Termination reason: Unknown
% 0.68/0.77  % (31218)Termination phase: Saturation
% 0.68/0.77  
% 0.68/0.77  % (31218)Memory used [KB]: 1738
% 0.68/0.77  % (31218)Time elapsed: 0.029 s
% 0.68/0.77  % (31218)Instructions burned: 51 (million)
% 0.68/0.77  % (31218)------------------------------
% 0.68/0.77  % (31218)------------------------------
% 0.68/0.77  % (31240)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 theBenchmark for (2996ds/46Mi)
% 0.68/0.77  % (31238)Refutation not found, incomplete strategy% (31238)------------------------------
% 0.68/0.77  % (31238)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (31238)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (31238)Memory used [KB]: 1124
% 0.68/0.77  % (31238)Time elapsed: 0.005 s
% 0.68/0.77  % (31238)Instructions burned: 7 (million)
% 0.68/0.77  % (31237)Refutation not found, incomplete strategy% (31237)------------------------------
% 0.68/0.77  % (31237)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (31237)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  % (31238)------------------------------
% 0.68/0.77  % (31238)------------------------------
% 0.68/0.77  
% 0.68/0.77  % (31237)Memory used [KB]: 1109
% 0.68/0.77  % (31237)Time elapsed: 0.007 s
% 0.68/0.77  % (31237)Instructions burned: 9 (million)
% 0.68/0.77  % (31237)------------------------------
% 0.68/0.77  % (31237)------------------------------
% 0.68/0.77  % (31231)Refutation not found, incomplete strategy% (31231)------------------------------
% 0.68/0.77  % (31231)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (31231)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (31231)Memory used [KB]: 1227
% 0.68/0.77  % (31231)Time elapsed: 0.014 s
% 0.68/0.77  % (31231)Instructions burned: 24 (million)
% 0.68/0.77  % (31240)Refutation not found, incomplete strategy% (31240)------------------------------
% 0.68/0.77  % (31240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (31240)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  % (31231)------------------------------
% 0.68/0.77  % (31231)------------------------------
% 0.68/0.77  
% 0.68/0.77  % (31240)Memory used [KB]: 1116
% 0.68/0.77  % (31240)Time elapsed: 0.005 s
% 0.68/0.77  % (31240)Instructions burned: 6 (million)
% 0.68/0.77  % (31240)------------------------------
% 0.68/0.77  % (31240)------------------------------
% 0.68/0.77  % (31241)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 theBenchmark for (2996ds/102Mi)
% 0.68/0.77  % (31242)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 theBenchmark for (2996ds/35Mi)
% 0.68/0.77  % (31243)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2996ds/87Mi)
% 0.68/0.77  % (31244)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 theBenchmark for (2996ds/109Mi)
% 0.68/0.78  % (31246)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 theBenchmark for (2996ds/69Mi)
% 0.68/0.78  % (31241)Refutation not found, incomplete strategy% (31241)------------------------------
% 0.68/0.78  % (31241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (31241)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78  
% 0.68/0.78  % (31241)Memory used [KB]: 1133
% 0.68/0.78  % (31241)Time elapsed: 0.008 s
% 0.68/0.78  % (31241)Instructions burned: 10 (million)
% 0.68/0.78  % (31241)------------------------------
% 0.68/0.78  % (31241)------------------------------
% 0.68/0.78  % (31246)Refutation not found, incomplete strategy% (31246)------------------------------
% 0.68/0.78  % (31246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (31246)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78  
% 0.68/0.78  % (31246)Memory used [KB]: 1129
% 0.68/0.78  % (31246)Time elapsed: 0.005 s
% 0.68/0.78  % (31246)Instructions burned: 7 (million)
% 0.68/0.78  % (31246)------------------------------
% 0.68/0.78  % (31246)------------------------------
% 0.68/0.78  % (31247)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 theBenchmark for (2996ds/40Mi)
% 0.68/0.78  % (31239)Instruction limit reached!
% 0.68/0.78  % (31239)------------------------------
% 0.68/0.78  % (31239)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (31239)Termination reason: Unknown
% 0.68/0.78  % (31239)Termination phase: Saturation
% 0.68/0.78  
% 0.68/0.78  % (31239)Memory used [KB]: 1214
% 0.68/0.78  % (31239)Time elapsed: 0.016 s
% 0.68/0.78  % (31239)Instructions burned: 55 (million)
% 0.68/0.78  % (31239)------------------------------
% 0.68/0.78  % (31239)------------------------------
% 0.68/0.78  % (31248)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 theBenchmark for (2996ds/360Mi)
% 0.68/0.78  % (31245)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 theBenchmark for (2996ds/161Mi)
% 0.68/0.78  % (31249)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 theBenchmark for (2996ds/161Mi)
% 0.68/0.79  % (31245)Refutation not found, incomplete strategy% (31245)------------------------------
% 0.68/0.79  % (31245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (31245)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79  
% 0.68/0.79  % (31245)Memory used [KB]: 1030
% 0.68/0.79  % (31245)Time elapsed: 0.030 s
% 0.68/0.79  % (31245)Instructions burned: 6 (million)
% 0.68/0.79  % (31245)------------------------------
% 0.68/0.79  % (31245)------------------------------
% 0.68/0.79  % (31242)Instruction limit reached!
% 0.68/0.79  % (31242)------------------------------
% 0.68/0.79  % (31242)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (31242)Termination reason: Unknown
% 0.68/0.79  % (31242)Termination phase: Saturation
% 0.68/0.79  
% 0.68/0.79  % (31242)Memory used [KB]: 1185
% 0.68/0.79  % (31242)Time elapsed: 0.018 s
% 0.68/0.79  % (31242)Instructions burned: 36 (million)
% 0.68/0.79  % (31242)------------------------------
% 0.68/0.79  % (31242)------------------------------
% 0.68/0.79  % (31247)Refutation not found, incomplete strategy% (31247)------------------------------
% 0.68/0.79  % (31247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (31247)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79  
% 0.68/0.79  % (31247)Memory used [KB]: 1209
% 0.68/0.79  % (31247)Time elapsed: 0.012 s
% 0.68/0.79  % (31247)Instructions burned: 16 (million)
% 0.68/0.79  % (31250)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2995ds/80Mi)
% 0.68/0.79  % (31247)------------------------------
% 0.68/0.79  % (31247)------------------------------
% 0.68/0.79  % (31251)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 theBenchmark for (2995ds/37Mi)
% 0.68/0.80  % (31252)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 theBenchmark for (2995ds/55Mi)
% 0.68/0.81  % (31234)Instruction limit reached!
% 0.68/0.81  % (31234)------------------------------
% 0.68/0.81  % (31234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (31234)Termination reason: Unknown
% 0.68/0.81  % (31234)Termination phase: Saturation
% 0.68/0.81  
% 0.68/0.81  % (31234)Memory used [KB]: 2375
% 0.68/0.81  % (31234)Time elapsed: 0.049 s
% 0.68/0.81  % (31234)Instructions burned: 93 (million)
% 0.68/0.81  % (31234)------------------------------
% 0.68/0.81  % (31234)------------------------------
% 0.68/0.81  % (31253)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 theBenchmark for (2995ds/47Mi)
% 0.68/0.81  % (31251)Instruction limit reached!
% 0.68/0.81  % (31251)------------------------------
% 0.68/0.81  % (31251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (31251)Termination reason: Unknown
% 0.68/0.81  % (31251)Termination phase: Saturation
% 0.68/0.81  
% 0.68/0.81  % (31251)Memory used [KB]: 1653
% 0.68/0.81  % (31251)Time elapsed: 0.044 s
% 0.68/0.81  % (31251)Instructions burned: 37 (million)
% 0.68/0.81  % (31251)------------------------------
% 0.68/0.81  % (31251)------------------------------
% 0.68/0.81  % (31243)Instruction limit reached!
% 0.68/0.81  % (31243)------------------------------
% 0.68/0.81  % (31243)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (31243)Termination reason: Unknown
% 0.68/0.81  % (31243)Termination phase: Saturation
% 0.68/0.81  
% 0.68/0.81  % (31243)Memory used [KB]: 1457
% 0.68/0.81  % (31243)Time elapsed: 0.044 s
% 0.68/0.81  % (31243)Instructions burned: 87 (million)
% 0.68/0.81  % (31243)------------------------------
% 0.68/0.81  % (31243)------------------------------
% 0.68/0.82  % (31254)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2995ds/32Mi)
% 0.68/0.82  % (31255)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 theBenchmark for (2995ds/132Mi)
% 0.68/0.82  % (31254)Refutation not found, incomplete strategy% (31254)------------------------------
% 0.68/0.82  % (31254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82  % (31254)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.82  
% 0.68/0.82  % (31254)Memory used [KB]: 1103
% 0.68/0.82  % (31254)Time elapsed: 0.005 s
% 0.68/0.82  % (31254)Instructions burned: 6 (million)
% 0.68/0.82  % (31254)------------------------------
% 0.68/0.82  % (31254)------------------------------
% 0.68/0.82  % (31255)Refutation not found, incomplete strategy% (31255)------------------------------
% 0.68/0.82  % (31255)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82  % (31255)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.82  
% 0.68/0.82  % (31255)Memory used [KB]: 983
% 0.68/0.82  % (31255)Time elapsed: 0.005 s
% 0.68/0.82  % (31255)Instructions burned: 8 (million)
% 0.68/0.82  % (31255)------------------------------
% 0.68/0.82  % (31255)------------------------------
% 0.68/0.82  % (31256)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 theBenchmark for (2995ds/54Mi)
% 0.68/0.83  % (31252)Instruction limit reached!
% 0.68/0.83  % (31252)------------------------------
% 0.68/0.83  % (31252)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (31252)Termination reason: Unknown
% 0.68/0.83  % (31252)Termination phase: Saturation
% 0.68/0.83  
% 0.68/0.83  % (31252)Memory used [KB]: 1663
% 0.68/0.83  % (31252)Time elapsed: 0.031 s
% 0.68/0.83  % (31252)Instructions burned: 55 (million)
% 0.68/0.83  % (31252)------------------------------
% 0.68/0.83  % (31252)------------------------------
% 0.68/0.83  % (31250)Instruction limit reached!
% 0.68/0.83  % (31250)------------------------------
% 0.68/0.83  % (31250)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (31250)Termination reason: Unknown
% 0.68/0.83  % (31250)Termination phase: Saturation
% 0.68/0.83  
% 0.68/0.83  % (31250)Memory used [KB]: 1274
% 0.68/0.83  % (31250)Time elapsed: 0.058 s
% 0.68/0.83  % (31250)Instructions burned: 81 (million)
% 0.68/0.83  % (31250)------------------------------
% 0.68/0.83  % (31250)------------------------------
% 0.68/0.83  % (31257)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 theBenchmark for (2995ds/82Mi)
% 0.68/0.83  % (31249)Instruction limit reached!
% 0.68/0.83  % (31249)------------------------------
% 0.68/0.83  % (31249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (31249)Termination reason: Unknown
% 0.68/0.83  % (31249)Termination phase: Saturation
% 0.68/0.83  
% 0.68/0.83  % (31249)Memory used [KB]: 2653
% 0.68/0.83  % (31249)Time elapsed: 0.068 s
% 0.68/0.83  % (31249)Instructions burned: 163 (million)
% 0.68/0.83  % (31249)------------------------------
% 0.68/0.83  % (31249)------------------------------
% 0.68/0.83  % (31256)Refutation not found, incomplete strategy% (31256)------------------------------
% 0.68/0.83  % (31256)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (31256)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.83  
% 0.68/0.83  % (31256)Memory used [KB]: 1079
% 0.68/0.83  % (31256)Time elapsed: 0.005 s
% 0.68/0.83  % (31256)Instructions burned: 7 (million)
% 0.68/0.83  % (31256)------------------------------
% 0.68/0.83  % (31256)------------------------------
% 0.68/0.83  % (31258)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 theBenchmark for (2995ds/119Mi)
% 0.68/0.83  % (31260)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 theBenchmark for (2995ds/117Mi)
% 0.68/0.83  % (31259)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 theBenchmark for (2995ds/177Mi)
% 0.68/0.83  % (31261)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on theBenchmark for (2995ds/49Mi)
% 0.68/0.84  % (31244)Instruction limit reached!
% 0.68/0.84  % (31244)------------------------------
% 0.68/0.84  % (31244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (31244)Termination reason: Unknown
% 0.68/0.84  % (31244)Termination phase: Saturation
% 0.68/0.84  
% 0.68/0.84  % (31244)Memory used [KB]: 2205
% 0.68/0.84  % (31244)Time elapsed: 0.065 s
% 0.68/0.84  % (31244)Instructions burned: 110 (million)
% 0.68/0.84  % (31244)------------------------------
% 0.68/0.84  % (31244)------------------------------
% 0.68/0.84  % (31253)Instruction limit reached!
% 0.68/0.84  % (31253)------------------------------
% 0.68/0.84  % (31253)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (31253)Termination reason: Unknown
% 0.68/0.84  % (31253)Termination phase: Saturation
% 0.68/0.84  
% 0.68/0.84  % (31253)Memory used [KB]: 1591
% 0.68/0.84  % (31253)Time elapsed: 0.027 s
% 0.68/0.84  % (31253)Instructions burned: 47 (million)
% 0.68/0.84  % (31253)------------------------------
% 0.68/0.84  % (31253)------------------------------
% 0.68/0.84  % (31263)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on theBenchmark for (2995ds/149Mi)
% 0.68/0.84  % (31262)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on theBenchmark for (2995ds/51Mi)
% 0.68/0.84  % (31263)Refutation not found, incomplete strategy% (31263)------------------------------
% 0.68/0.84  % (31263)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (31263)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.84  
% 0.68/0.84  % (31263)Memory used [KB]: 997
% 0.68/0.84  % (31263)Time elapsed: 0.005 s
% 0.68/0.84  % (31263)Instructions burned: 7 (million)
% 0.68/0.84  % (31263)------------------------------
% 0.68/0.84  % (31263)------------------------------
% 0.68/0.85  % (31264)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on theBenchmark for (2995ds/56Mi)
% 0.68/0.85  % (31264)Refutation not found, incomplete strategy% (31264)------------------------------
% 0.68/0.85  % (31264)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85  % (31264)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.85  
% 0.68/0.85  % (31264)Memory used [KB]: 1032
% 0.68/0.85  % (31264)Time elapsed: 0.004 s
% 0.68/0.85  % (31264)Instructions burned: 6 (million)
% 0.68/0.85  % (31264)------------------------------
% 0.68/0.85  % (31264)------------------------------
% 0.68/0.85  % (31257)Refutation not found, incomplete strategy% (31257)------------------------------
% 0.68/0.85  % (31257)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85  % (31257)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.85  
% 0.68/0.85  % (31257)Memory used [KB]: 1254
% 0.68/0.85  % (31261)Instruction limit reached!
% 0.68/0.85  % (31261)------------------------------
% 0.68/0.85  % (31261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.85  % (31261)Termination reason: Unknown
% 0.68/0.85  % (31261)Termination phase: Saturation
% 0.68/0.85  
% 0.68/0.85  % (31261)Memory used [KB]: 1616
% 0.68/0.85  % (31261)Time elapsed: 0.025 s
% 0.68/0.85  % (31261)Instructions burned: 50 (million)
% 0.68/0.85  % (31261)------------------------------
% 0.68/0.85  % (31261)------------------------------
% 0.68/0.85  % (31257)Time elapsed: 0.030 s
% 0.68/0.85  % (31257)Instructions burned: 53 (million)
% 0.68/0.85  % (31257)------------------------------
% 0.68/0.85  % (31257)------------------------------
% 1.31/0.86  % (31265)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on theBenchmark for (2995ds/289Mi)
% 1.31/0.86  % (31266)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=206:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2995ds/206Mi)
% 1.31/0.86  % (31267)ott+1004_1:2_bsr=unit_only:slsqr=1,8:to=lpo:sil=2000:plsqc=2:plsq=on:sp=reverse_frequency:acc=on:nwc=6.4:slsq=on:st=2.0:i=50:s2at=3.0:bd=off:ins=4:ss=axioms:sgt=10:plsql=on:rawr=on:aer=off:slsqc=2:afp=4000:afq=2.0:bce=on:gs=on:lma=on:br=off:gsaa=full_model:add=off_0 on theBenchmark for (2995ds/50Mi)
% 1.31/0.86  % (31260)Instruction limit reached!
% 1.31/0.86  % (31260)------------------------------
% 1.31/0.86  % (31260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.86  % (31260)Termination reason: Unknown
% 1.31/0.86  % (31260)Termination phase: Saturation
% 1.31/0.86  
% 1.31/0.86  % (31260)Memory used [KB]: 1930
% 1.31/0.86  % (31260)Time elapsed: 0.030 s
% 1.31/0.86  % (31260)Instructions burned: 121 (million)
% 1.31/0.86  % (31260)------------------------------
% 1.31/0.86  % (31260)------------------------------
% 1.31/0.86  % (31262)Instruction limit reached!
% 1.31/0.86  % (31262)------------------------------
% 1.31/0.86  % (31262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.86  % (31262)Termination reason: Unknown
% 1.31/0.86  % (31262)Termination phase: Saturation
% 1.31/0.86  
% 1.31/0.86  % (31262)Memory used [KB]: 1791
% 1.31/0.86  % (31262)Time elapsed: 0.025 s
% 1.31/0.86  % (31262)Instructions burned: 51 (million)
% 1.31/0.86  % (31262)------------------------------
% 1.31/0.86  % (31262)------------------------------
% 1.31/0.87  % (31278)dis+1010_1:3_sil=2000:tgt=ground:sp=const_max:nwc=5.0:s2a=on:i=67:nm=16:av=off:bd=off_0 on theBenchmark for (2995ds/67Mi)
% 1.31/0.87  % (31272)lrs+1011_1:1_to=lpo:drc=off:sil=2000:tgt=full:i=1483:fd=preordered_0 on theBenchmark for (2995ds/1483Mi)
% 1.31/0.87  % (31258)Instruction limit reached!
% 1.31/0.87  % (31258)------------------------------
% 1.31/0.87  % (31258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.87  % (31258)Termination reason: Unknown
% 1.31/0.87  % (31258)Termination phase: Saturation
% 1.31/0.87  
% 1.31/0.87  % (31258)Memory used [KB]: 1232
% 1.31/0.87  % (31258)Time elapsed: 0.046 s
% 1.31/0.87  % (31258)Instructions burned: 120 (million)
% 1.31/0.87  % (31258)------------------------------
% 1.31/0.87  % (31258)------------------------------
% 1.31/0.88  % (31282)lrs+1011_1:1_sil=64000:tgt=full:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=on:lsd=20:st=5.0:i=67:sd=2:nm=4:av=off:fsr=off:ss=axioms:er=tagged:gs=on:sgt=8:nwc=3.0:bd=off_0 on theBenchmark for (2995ds/67Mi)
% 1.31/0.88  % (31282)Refutation not found, incomplete strategy% (31282)------------------------------
% 1.31/0.88  % (31282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.88  % (31282)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.88  
% 1.31/0.88  % (31282)Memory used [KB]: 1088
% 1.31/0.88  % (31282)Time elapsed: 0.008 s
% 1.31/0.88  % (31282)Instructions burned: 12 (million)
% 1.31/0.88  % (31282)------------------------------
% 1.31/0.88  % (31282)------------------------------
% 1.31/0.89  % (31267)Instruction limit reached!
% 1.31/0.89  % (31267)------------------------------
% 1.31/0.89  % (31267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.31/0.89  % (31267)Termination reason: Unknown
% 1.31/0.89  % (31267)Termination phase: Saturation
% 1.31/0.89  
% 1.31/0.89  % (31267)Memory used [KB]: 1844
% 1.31/0.89  % (31267)Time elapsed: 0.029 s
% 1.31/0.89  % (31267)Instructions burned: 50 (million)
% 1.31/0.89  % (31267)------------------------------
% 1.31/0.89  % (31267)------------------------------
% 1.31/0.89  % (31286)dis+1002_1:1024_sil=2000:sac=on:slsq=on:i=52:nm=16:sfv=off:slsqc=1:urr=ec_only:bd=off_0 on theBenchmark for (2994ds/52Mi)
% 1.31/0.89  % (31287)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:i=366:sd=2:ss=axioms_0 on theBenchmark for (2994ds/366Mi)
% 1.46/0.90  % (31278)Instruction limit reached!
% 1.46/0.90  % (31278)------------------------------
% 1.46/0.90  % (31278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.46/0.90  % (31278)Termination reason: Unknown
% 1.46/0.90  % (31278)Termination phase: Saturation
% 1.46/0.90  
% 1.46/0.90  % (31278)Memory used [KB]: 1329
% 1.46/0.90  % (31278)Time elapsed: 0.030 s
% 1.46/0.90  % (31278)Instructions burned: 68 (million)
% 1.46/0.90  % (31278)------------------------------
% 1.46/0.90  % (31278)------------------------------
% 1.46/0.90  % (31291)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=863:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2994ds/863Mi)
% 1.46/0.90  % (31291)Refutation not found, incomplete strategy% (31291)------------------------------
% 1.46/0.90  % (31291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.46/0.90  % (31291)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.90  
% 1.46/0.90  % (31291)Memory used [KB]: 1120
% 1.46/0.90  % (31291)Time elapsed: 0.006 s
% 1.46/0.90  % (31291)Instructions burned: 9 (million)
% 1.46/0.90  % (31291)------------------------------
% 1.46/0.90  % (31291)------------------------------
% 1.46/0.91  % (31292)lrs+1011_1:1_sil=16000:fde=unused:plsqc=1:plsq=on:plsqr=32,1:sos=on:nwc=10.0:i=163:kws=frequency:nm=2:lsd=1:bd=off_0 on theBenchmark for (2994ds/163Mi)
% 1.46/0.91  % (31286)Instruction limit reached!
% 1.46/0.91  % (31286)------------------------------
% 1.46/0.91  % (31286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.46/0.91  % (31286)Termination reason: Unknown
% 1.46/0.91  % (31286)Termination phase: Saturation
% 1.46/0.91  
% 1.46/0.91  % (31286)Memory used [KB]: 1644
% 1.46/0.91  % (31286)Time elapsed: 0.030 s
% 1.46/0.91  % (31286)Instructions burned: 53 (million)
% 1.46/0.91  % (31286)------------------------------
% 1.46/0.91  % (31286)------------------------------
% 1.46/0.92  % (31297)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=77:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2994ds/77Mi)
% 1.46/0.92  % (31297)Refutation not found, incomplete strategy% (31297)------------------------------
% 1.46/0.92  % (31297)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.46/0.92  % (31297)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.92  
% 1.46/0.92  % (31297)Memory used [KB]: 982
% 1.46/0.92  % (31297)Time elapsed: 0.004 s
% 1.46/0.92  % (31297)Instructions burned: 5 (million)
% 1.46/0.92  % (31297)------------------------------
% 1.46/0.92  % (31297)------------------------------
% 1.46/0.92  % (31272)First to succeed.
% 1.46/0.92  % (31259)Instruction limit reached!
% 1.46/0.92  % (31259)------------------------------
% 1.46/0.92  % (31259)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.46/0.92  % (31259)Termination reason: Unknown
% 1.46/0.92  % (31259)Termination phase: Saturation
% 1.46/0.92  
% 1.46/0.92  % (31259)Memory used [KB]: 2959
% 1.46/0.92  % (31259)Time elapsed: 0.095 s
% 1.46/0.92  % (31259)Instructions burned: 178 (million)
% 1.46/0.92  % (31259)------------------------------
% 1.46/0.92  % (31259)------------------------------
% 1.46/0.92  % (31298)lrs-1010_1:8_sil=2000:sos=on:i=1548:sd=1:ins=3:ss=included_0 on theBenchmark for (2994ds/1548Mi)
% 1.46/0.93  % (31299)lrs+1010_974213:1048576_nwc=9.0:s2a=on:i=76:bd=off:lwlo=on:fd=off:sil=256000:s2agt=10:sims=off:nm=9:sp=const_min:rp=on:er=known:cond=fast:bce=on:abs=on:irw=on:amm=sco:afp=2000:updr=off:add=off:to=lpo:awrs=decay:awrsf=260:rawr=on:afq=2.0:uhcvi=on_0 on theBenchmark for (2994ds/76Mi)
% 1.46/0.93  % (31298)Refutation not found, incomplete strategy% (31298)------------------------------
% 1.46/0.93  % (31298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.46/0.93  % (31298)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.93  
% 1.46/0.93  % (31298)Memory used [KB]: 1111
% 1.46/0.93  % (31298)Time elapsed: 0.006 s
% 1.46/0.93  % (31298)Instructions burned: 8 (million)
% 1.46/0.93  % (31272)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31213"
% 1.46/0.93  % (31298)------------------------------
% 1.46/0.93  % (31298)------------------------------
% 1.46/0.93  % (31272)Refutation found. Thanks to Tanya!
% 1.46/0.93  % SZS status Unsatisfiable for theBenchmark
% 1.46/0.93  % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.94  % (31272)------------------------------
% 1.71/0.94  % (31272)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.71/0.94  % (31272)Termination reason: Refutation
% 1.71/0.94  
% 1.71/0.94  % (31272)Memory used [KB]: 1693
% 1.71/0.94  % (31272)Time elapsed: 0.063 s
% 1.71/0.94  % (31272)Instructions burned: 108 (million)
% 1.71/0.94  % (31213)Success in time 0.554 s
% 1.71/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------