TSTP Solution File: GRP259-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP259-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 : Sun May  5 05:47:06 EDT 2024

% Result   : Unsatisfiable 0.63s 0.81s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   80
% Syntax   : Number of formulae    :  343 (  34 unt;   0 def)
%            Number of atoms       : 1192 ( 269 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives : 1565 ( 716   ~; 828   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   35 (  33 usr;  22 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  21 con; 0-2 aty)
%            Number of variables   :   70 (  70   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1186,plain,
    $false,
    inference(avatar_sat_refutation,[],[f110,f115,f120,f125,f130,f135,f136,f137,f138,f139,f145,f146,f147,f154,f155,f156,f162,f163,f164,f165,f166,f171,f172,f173,f174,f175,f180,f181,f182,f183,f184,f208,f215,f236,f322,f391,f427,f431,f483,f525,f609,f636,f674,f703,f876,f894,f938,f1090,f1162,f1185]) ).

fof(f1185,plain,
    ( ~ spl24_1
    | spl24_2
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(avatar_contradiction_clause,[],[f1184]) ).

fof(f1184,plain,
    ( $false
    | ~ spl24_1
    | spl24_2
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(subsumption_resolution,[],[f1183,f755]) ).

fof(f755,plain,
    ( sk_c7 = sk_c6
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f753,f559]) ).

fof(f559,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl24_10 ),
    inference(forward_demodulation,[],[f82,f161]) ).

fof(f161,plain,
    ( sk_c7 = sF21
    | ~ spl24_10 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl24_10
  <=> sk_c7 = sF21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_10])]) ).

fof(f82,plain,
    multiply(sk_c6,sk_c8) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f753,plain,
    ( sk_c6 = multiply(sk_c6,sk_c8)
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(superposition,[],[f591,f565]) ).

fof(f565,plain,
    ( sk_c8 = multiply(sk_c3,sk_c6)
    | ~ spl24_11 ),
    inference(backward_demodulation,[],[f88,f170]) ).

fof(f170,plain,
    ( sk_c8 = sF22
    | ~ spl24_11 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl24_11
  <=> sk_c8 = sF22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).

fof(f88,plain,
    multiply(sk_c3,sk_c6) = sF22,
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

fof(f591,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f590,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',left_identity) ).

fof(f590,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl24_12 ),
    inference(superposition,[],[f3,f563]) ).

fof(f563,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f241,f179]) ).

fof(f179,plain,
    ( sk_c6 = sF23
    | ~ spl24_12 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f177,plain,
    ( spl24_12
  <=> sk_c6 = sF23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).

fof(f241,plain,
    identity = multiply(sF23,sk_c3),
    inference(superposition,[],[f2,f94]) ).

fof(f94,plain,
    inverse(sk_c3) = sF23,
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',associativity) ).

fof(f1183,plain,
    ( sk_c7 != sk_c6
    | ~ spl24_1
    | spl24_2
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f108,f1174]) ).

fof(f1174,plain,
    ( sk_c7 = sF12
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f1173,f1123]) ).

fof(f1123,plain,
    ( sk_c8 = sk_c7
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f1122,f1038]) ).

fof(f1038,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f1027,f1023]) ).

fof(f1023,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f1018,f992]) ).

fof(f992,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl24_1
    | ~ spl24_7 ),
    inference(superposition,[],[f3,f973]) ).

fof(f973,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl24_1
    | ~ spl24_7 ),
    inference(superposition,[],[f595,f574]) ).

fof(f574,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl24_1 ),
    inference(backward_demodulation,[],[f54,f105]) ).

fof(f105,plain,
    ( sk_c7 = sF13
    | ~ spl24_1 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl24_1
  <=> sk_c7 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).

fof(f54,plain,
    multiply(sk_c1,sk_c8) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f595,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl24_7 ),
    inference(forward_demodulation,[],[f594,f1]) ).

fof(f594,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl24_7 ),
    inference(superposition,[],[f3,f571]) ).

fof(f571,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl24_7 ),
    inference(backward_demodulation,[],[f237,f134]) ).

fof(f134,plain,
    ( sk_c8 = sF18
    | ~ spl24_7 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl24_7
  <=> sk_c8 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).

fof(f237,plain,
    identity = multiply(sF18,sk_c1),
    inference(superposition,[],[f2,f64]) ).

fof(f64,plain,
    inverse(sk_c1) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f1018,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f595,f1016]) ).

fof(f1016,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f1010,f998]) ).

fof(f998,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl24_1
    | ~ spl24_7 ),
    inference(superposition,[],[f573,f595]) ).

fof(f573,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | ~ spl24_1 ),
    inference(backward_demodulation,[],[f245,f105]) ).

fof(f245,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sF13,X0),
    inference(superposition,[],[f3,f54]) ).

fof(f1010,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(superposition,[],[f772,f595]) ).

fof(f772,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f560,f755]) ).

fof(f560,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | ~ spl24_10 ),
    inference(forward_demodulation,[],[f247,f161]) ).

fof(f247,plain,
    ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sF21,X0),
    inference(superposition,[],[f3,f82]) ).

fof(f1027,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f992,f1023]) ).

fof(f1122,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f1012,f1038]) ).

fof(f1012,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c7,sk_c7)
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(superposition,[],[f772,f973]) ).

fof(f1173,plain,
    ( sk_c8 = sF12
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f53,f1038]) ).

fof(f53,plain,
    multiply(sk_c7,sk_c8) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f108,plain,
    ( sk_c6 != sF12
    | spl24_2 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl24_2
  <=> sk_c6 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).

fof(f1162,plain,
    ( ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_18 ),
    inference(avatar_contradiction_clause,[],[f1161]) ).

fof(f1161,plain,
    ( $false
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_18 ),
    inference(subsumption_resolution,[],[f1160,f1117]) ).

fof(f1117,plain,
    ( sP2(sk_c7)
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_18 ),
    inference(forward_demodulation,[],[f1022,f1038]) ).

fof(f1022,plain,
    ( sP2(multiply(sk_c7,sk_c7))
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_18 ),
    inference(backward_demodulation,[],[f956,f1016]) ).

fof(f956,plain,
    ( sP2(multiply(sk_c1,sk_c7))
    | ~ spl24_7
    | ~ spl24_18 ),
    inference(subsumption_resolution,[],[f952,f43]) ).

fof(f43,plain,
    ~ sP3(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f952,plain,
    ( sP3(sk_c8)
    | sP2(multiply(sk_c1,sk_c7))
    | ~ spl24_7
    | ~ spl24_18 ),
    inference(superposition,[],[f204,f572]) ).

fof(f572,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl24_7 ),
    inference(backward_demodulation,[],[f64,f134]) ).

fof(f204,plain,
    ( ! [X6] :
        ( sP3(inverse(X6))
        | sP2(multiply(X6,sk_c7)) )
    | ~ spl24_18 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f203,plain,
    ( spl24_18
  <=> ! [X6] :
        ( sP2(multiply(X6,sk_c7))
        | sP3(inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).

fof(f1160,plain,
    ( ~ sP2(sk_c7)
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f42,f1123]) ).

fof(f42,plain,
    ~ sP2(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1090,plain,
    ( ~ spl24_1
    | ~ spl24_5
    | spl24_6
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(avatar_contradiction_clause,[],[f1089]) ).

fof(f1089,plain,
    ( $false
    | ~ spl24_1
    | ~ spl24_5
    | spl24_6
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(subsumption_resolution,[],[f1053,f128]) ).

fof(f128,plain,
    ( sk_c7 != sF17
    | spl24_6 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl24_6
  <=> sk_c7 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).

fof(f1053,plain,
    ( sk_c7 = sF17
    | ~ spl24_1
    | ~ spl24_5
    | ~ spl24_7
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f784,f1038]) ).

fof(f784,plain,
    ( sk_c7 = multiply(sk_c7,sF17)
    | ~ spl24_5
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f741,f755]) ).

fof(f741,plain,
    ( sk_c6 = multiply(sk_c7,sF17)
    | ~ spl24_5 ),
    inference(superposition,[],[f258,f62]) ).

fof(f62,plain,
    multiply(sk_c5,sk_c6) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f258,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl24_5 ),
    inference(forward_demodulation,[],[f257,f1]) ).

fof(f257,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl24_5 ),
    inference(superposition,[],[f3,f239]) ).

fof(f239,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl24_5 ),
    inference(superposition,[],[f2,f210]) ).

fof(f210,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl24_5 ),
    inference(backward_demodulation,[],[f60,f124]) ).

fof(f124,plain,
    ( sk_c7 = sF16
    | ~ spl24_5 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl24_5
  <=> sk_c7 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).

fof(f60,plain,
    inverse(sk_c5) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f938,plain,
    ( ~ spl24_8
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_14 ),
    inference(avatar_contradiction_clause,[],[f937]) ).

fof(f937,plain,
    ( $false
    | ~ spl24_8
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_14 ),
    inference(subsumption_resolution,[],[f936,f48]) ).

fof(f48,plain,
    ~ sP8(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f936,plain,
    ( sP8(sk_c7)
    | ~ spl24_8
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_14 ),
    inference(forward_demodulation,[],[f935,f568]) ).

fof(f568,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl24_9 ),
    inference(backward_demodulation,[],[f76,f152]) ).

fof(f152,plain,
    ( sk_c7 = sF20
    | ~ spl24_9 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl24_9
  <=> sk_c7 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_9])]) ).

fof(f76,plain,
    inverse(sk_c2) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f935,plain,
    ( sP8(inverse(sk_c2))
    | ~ spl24_8
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_14 ),
    inference(subsumption_resolution,[],[f919,f757]) ).

fof(f757,plain,
    ( ~ sP9(sk_c7)
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f49,f755]) ).

fof(f49,plain,
    ~ sP9(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).

fof(f919,plain,
    ( sP9(sk_c7)
    | sP8(inverse(sk_c2))
    | ~ spl24_8
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_14 ),
    inference(superposition,[],[f190,f778]) ).

fof(f778,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl24_8
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f570,f755]) ).

fof(f570,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl24_8 ),
    inference(backward_demodulation,[],[f70,f143]) ).

fof(f143,plain,
    ( sk_c6 = sF19
    | ~ spl24_8 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl24_8
  <=> sk_c6 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).

fof(f70,plain,
    multiply(sk_c2,sk_c7) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f190,plain,
    ( ! [X4] :
        ( sP9(multiply(X4,sk_c7))
        | sP8(inverse(X4)) )
    | ~ spl24_14 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl24_14
  <=> ! [X4] :
        ( sP8(inverse(X4))
        | sP9(multiply(X4,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_14])]) ).

fof(f894,plain,
    ( ~ spl24_8
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_19 ),
    inference(avatar_contradiction_clause,[],[f893]) ).

fof(f893,plain,
    ( $false
    | ~ spl24_8
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_19 ),
    inference(subsumption_resolution,[],[f892,f40]) ).

fof(f40,plain,
    ~ sP0(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f892,plain,
    ( sP0(sk_c7)
    | ~ spl24_8
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_19 ),
    inference(backward_demodulation,[],[f781,f778]) ).

fof(f781,plain,
    ( sP0(multiply(sk_c2,sk_c7))
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_19 ),
    inference(backward_demodulation,[],[f725,f755]) ).

fof(f725,plain,
    ( sP0(multiply(sk_c2,sk_c6))
    | ~ spl24_9
    | ~ spl24_19 ),
    inference(subsumption_resolution,[],[f709,f41]) ).

fof(f41,plain,
    ~ sP1(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f709,plain,
    ( sP1(sk_c7)
    | sP0(multiply(sk_c2,sk_c6))
    | ~ spl24_9
    | ~ spl24_19 ),
    inference(superposition,[],[f207,f568]) ).

fof(f207,plain,
    ( ! [X7] :
        ( sP1(inverse(X7))
        | sP0(multiply(X7,sk_c6)) )
    | ~ spl24_19 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl24_19
  <=> ! [X7] :
        ( sP0(multiply(X7,sk_c6))
        | sP1(inverse(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).

fof(f876,plain,
    ( ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_19 ),
    inference(avatar_contradiction_clause,[],[f875]) ).

fof(f875,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_19 ),
    inference(subsumption_resolution,[],[f874,f40]) ).

fof(f874,plain,
    ( sP0(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_19 ),
    inference(forward_demodulation,[],[f873,f1]) ).

fof(f873,plain,
    ( sP0(multiply(identity,sk_c7))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_19 ),
    inference(forward_demodulation,[],[f781,f826]) ).

fof(f826,plain,
    ( identity = sk_c2
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_9
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f567,f818]) ).

fof(f818,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f801,f767]) ).

fof(f767,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f264,f755]) ).

fof(f264,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl24_2
    | ~ spl24_3 ),
    inference(superposition,[],[f246,f256]) ).

fof(f256,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl24_3 ),
    inference(forward_demodulation,[],[f255,f1]) ).

fof(f255,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl24_3 ),
    inference(superposition,[],[f3,f238]) ).

fof(f238,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl24_3 ),
    inference(superposition,[],[f2,f212]) ).

fof(f212,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl24_3 ),
    inference(backward_demodulation,[],[f56,f114]) ).

fof(f114,plain,
    ( sk_c8 = sF14
    | ~ spl24_3 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl24_3
  <=> sk_c8 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).

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

fof(f246,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | ~ spl24_2 ),
    inference(superposition,[],[f3,f214]) ).

fof(f214,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl24_2 ),
    inference(backward_demodulation,[],[f53,f109]) ).

fof(f109,plain,
    ( sk_c6 = sF12
    | ~ spl24_2 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f801,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f256,f786]) ).

fof(f786,plain,
    ( sk_c8 = sk_c7
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(forward_demodulation,[],[f768,f211]) ).

fof(f211,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl24_4 ),
    inference(backward_demodulation,[],[f58,f119]) ).

fof(f119,plain,
    ( sk_c8 = sF15
    | ~ spl24_4 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl24_4
  <=> sk_c8 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).

fof(f58,plain,
    multiply(sk_c4,sk_c7) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f768,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_10
    | ~ spl24_11
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f293,f755]) ).

fof(f293,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4 ),
    inference(forward_demodulation,[],[f287,f263]) ).

fof(f263,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl24_3
    | ~ spl24_4 ),
    inference(superposition,[],[f256,f211]) ).

fof(f287,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
    | ~ spl24_2
    | ~ spl24_4 ),
    inference(superposition,[],[f248,f214]) ).

fof(f248,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl24_4 ),
    inference(superposition,[],[f3,f211]) ).

fof(f567,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl24_9 ),
    inference(backward_demodulation,[],[f240,f152]) ).

fof(f240,plain,
    identity = multiply(sF20,sk_c2),
    inference(superposition,[],[f2,f76]) ).

fof(f703,plain,
    ( ~ spl24_1
    | ~ spl24_7
    | ~ spl24_13 ),
    inference(avatar_contradiction_clause,[],[f702]) ).

fof(f702,plain,
    ( $false
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_13 ),
    inference(subsumption_resolution,[],[f701,f50]) ).

fof(f50,plain,
    ~ sP10(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).

fof(f701,plain,
    ( sP10(sk_c8)
    | ~ spl24_1
    | ~ spl24_7
    | ~ spl24_13 ),
    inference(forward_demodulation,[],[f700,f572]) ).

fof(f700,plain,
    ( sP10(inverse(sk_c1))
    | ~ spl24_1
    | ~ spl24_13 ),
    inference(subsumption_resolution,[],[f678,f51]) ).

fof(f51,plain,
    ~ sP11(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).

fof(f678,plain,
    ( sP11(sk_c7)
    | sP10(inverse(sk_c1))
    | ~ spl24_1
    | ~ spl24_13 ),
    inference(superposition,[],[f187,f574]) ).

fof(f187,plain,
    ( ! [X3] :
        ( sP11(multiply(X3,sk_c8))
        | sP10(inverse(X3)) )
    | ~ spl24_13 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl24_13
  <=> ! [X3] :
        ( sP10(inverse(X3))
        | sP11(multiply(X3,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).

fof(f674,plain,
    ( ~ spl24_11
    | ~ spl24_12
    | ~ spl24_16 ),
    inference(avatar_contradiction_clause,[],[f673]) ).

fof(f673,plain,
    ( $false
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_16 ),
    inference(subsumption_resolution,[],[f672,f45]) ).

fof(f45,plain,
    ~ sP5(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f672,plain,
    ( sP5(sk_c6)
    | ~ spl24_11
    | ~ spl24_12
    | ~ spl24_16 ),
    inference(forward_demodulation,[],[f671,f564]) ).

fof(f564,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl24_12 ),
    inference(backward_demodulation,[],[f94,f179]) ).

fof(f671,plain,
    ( sP5(inverse(sk_c3))
    | ~ spl24_11
    | ~ spl24_16 ),
    inference(subsumption_resolution,[],[f642,f46]) ).

fof(f46,plain,
    ~ sP6(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f642,plain,
    ( sP6(sk_c8)
    | sP5(inverse(sk_c3))
    | ~ spl24_11
    | ~ spl24_16 ),
    inference(superposition,[],[f197,f565]) ).

fof(f197,plain,
    ( ! [X5] :
        ( sP6(multiply(X5,sk_c6))
        | sP5(inverse(X5)) )
    | ~ spl24_16 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl24_16
  <=> ! [X5] :
        ( sP5(inverse(X5))
        | sP6(multiply(X5,sk_c6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).

fof(f636,plain,
    ( ~ spl24_10
    | ~ spl24_15 ),
    inference(avatar_contradiction_clause,[],[f635]) ).

fof(f635,plain,
    ( $false
    | ~ spl24_10
    | ~ spl24_15 ),
    inference(subsumption_resolution,[],[f634,f47]) ).

fof(f47,plain,
    ~ sP7(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f634,plain,
    ( sP7(sk_c7)
    | ~ spl24_10
    | ~ spl24_15 ),
    inference(forward_demodulation,[],[f194,f161]) ).

fof(f194,plain,
    ( sP7(sF21)
    | ~ spl24_15 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f192,plain,
    ( spl24_15
  <=> sP7(sF21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_15])]) ).

fof(f609,plain,
    ( ~ spl24_3
    | ~ spl24_4
    | ~ spl24_18 ),
    inference(avatar_contradiction_clause,[],[f608]) ).

fof(f608,plain,
    ( $false
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_18 ),
    inference(subsumption_resolution,[],[f607,f42]) ).

fof(f607,plain,
    ( sP2(sk_c8)
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_18 ),
    inference(forward_demodulation,[],[f606,f211]) ).

fof(f606,plain,
    ( sP2(multiply(sk_c4,sk_c7))
    | ~ spl24_3
    | ~ spl24_18 ),
    inference(subsumption_resolution,[],[f601,f43]) ).

fof(f601,plain,
    ( sP3(sk_c8)
    | sP2(multiply(sk_c4,sk_c7))
    | ~ spl24_3
    | ~ spl24_18 ),
    inference(superposition,[],[f204,f212]) ).

fof(f525,plain,
    ( ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_19 ),
    inference(avatar_contradiction_clause,[],[f524]) ).

fof(f524,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_19 ),
    inference(subsumption_resolution,[],[f523,f40]) ).

fof(f523,plain,
    ( sP0(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_19 ),
    inference(forward_demodulation,[],[f522,f1]) ).

fof(f522,plain,
    ( sP0(multiply(identity,sk_c7))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_19 ),
    inference(subsumption_resolution,[],[f518,f41]) ).

fof(f518,plain,
    ( sP1(sk_c7)
    | sP0(multiply(identity,sk_c7))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_19 ),
    inference(superposition,[],[f517,f364]) ).

fof(f364,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f359,f362]) ).

fof(f362,plain,
    ( identity = sk_c4
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(forward_demodulation,[],[f344,f335]) ).

fof(f335,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(forward_demodulation,[],[f328,f311]) ).

fof(f311,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f264,f299]) ).

fof(f299,plain,
    ( sk_c7 = sk_c6
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(forward_demodulation,[],[f297,f294]) ).

fof(f294,plain,
    ( sk_c7 = multiply(sk_c8,sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(forward_demodulation,[],[f288,f293]) ).

fof(f288,plain,
    ( multiply(sk_c4,sk_c6) = multiply(sk_c8,sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(superposition,[],[f248,f275]) ).

fof(f275,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f269,f273]) ).

fof(f273,plain,
    ( sk_c6 = sF21
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(forward_demodulation,[],[f271,f269]) ).

fof(f271,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(superposition,[],[f258,f209]) ).

fof(f209,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f62,f129]) ).

fof(f129,plain,
    ( sk_c7 = sF17
    | ~ spl24_6 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f269,plain,
    ( sF21 = multiply(sk_c7,sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4 ),
    inference(forward_demodulation,[],[f267,f82]) ).

fof(f267,plain,
    ( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4 ),
    inference(superposition,[],[f246,f263]) ).

fof(f297,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4 ),
    inference(superposition,[],[f256,f293]) ).

fof(f328,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f256,f323]) ).

fof(f323,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(forward_demodulation,[],[f318,f248]) ).

fof(f318,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f292,f299]) ).

fof(f292,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4 ),
    inference(forward_demodulation,[],[f285,f268]) ).

fof(f268,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl24_3
    | ~ spl24_4 ),
    inference(superposition,[],[f3,f263]) ).

fof(f285,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl24_2
    | ~ spl24_4 ),
    inference(superposition,[],[f248,f246]) ).

fof(f344,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f310,f335]) ).

fof(f310,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c7,sk_c4)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f259,f299]) ).

fof(f259,plain,
    ( multiply(sk_c6,sk_c4) = multiply(sk_c7,identity)
    | ~ spl24_2
    | ~ spl24_3 ),
    inference(superposition,[],[f246,f238]) ).

fof(f359,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f212,f351]) ).

fof(f351,plain,
    ( sk_c8 = sk_c7
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f211,f350]) ).

fof(f350,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(forward_demodulation,[],[f339,f335]) ).

fof(f339,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f311,f335]) ).

fof(f517,plain,
    ( ! [X7] :
        ( sP1(inverse(X7))
        | sP0(multiply(X7,sk_c7)) )
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_19 ),
    inference(forward_demodulation,[],[f207,f299]) ).

fof(f483,plain,
    ( ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_16 ),
    inference(avatar_contradiction_clause,[],[f482]) ).

fof(f482,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_16 ),
    inference(subsumption_resolution,[],[f481,f354]) ).

fof(f354,plain,
    ( ~ sP6(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f46,f351]) ).

fof(f481,plain,
    ( sP6(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_16 ),
    inference(forward_demodulation,[],[f480,f1]) ).

fof(f480,plain,
    ( sP6(multiply(identity,sk_c7))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_16 ),
    inference(subsumption_resolution,[],[f476,f300]) ).

fof(f300,plain,
    ( ~ sP5(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f45,f299]) ).

fof(f476,plain,
    ( sP5(sk_c7)
    | sP6(multiply(identity,sk_c7))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_16 ),
    inference(superposition,[],[f475,f364]) ).

fof(f475,plain,
    ( ! [X5] :
        ( sP5(inverse(X5))
        | sP6(multiply(X5,sk_c7)) )
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_16 ),
    inference(forward_demodulation,[],[f197,f299]) ).

fof(f431,plain,
    ( ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_22 ),
    inference(avatar_contradiction_clause,[],[f430]) ).

fof(f430,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_22 ),
    inference(subsumption_resolution,[],[f429,f301]) ).

fof(f301,plain,
    ( ~ sP9(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f49,f299]) ).

fof(f429,plain,
    ( sP9(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_22 ),
    inference(forward_demodulation,[],[f231,f351]) ).

fof(f231,plain,
    ( sP9(sk_c8)
    | ~ spl24_22 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl24_22
  <=> sP9(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_22])]) ).

fof(f427,plain,
    ( ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_23 ),
    inference(avatar_contradiction_clause,[],[f426]) ).

fof(f426,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_23 ),
    inference(subsumption_resolution,[],[f425,f48]) ).

fof(f425,plain,
    ( sP8(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_23 ),
    inference(forward_demodulation,[],[f235,f351]) ).

fof(f235,plain,
    ( sP8(sk_c8)
    | ~ spl24_23 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl24_23
  <=> sP8(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_23])]) ).

fof(f391,plain,
    ( ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_13 ),
    inference(avatar_contradiction_clause,[],[f390]) ).

fof(f390,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_13 ),
    inference(subsumption_resolution,[],[f389,f51]) ).

fof(f389,plain,
    ( sP11(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_13 ),
    inference(forward_demodulation,[],[f388,f1]) ).

fof(f388,plain,
    ( sP11(multiply(identity,sk_c7))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_13 ),
    inference(subsumption_resolution,[],[f384,f355]) ).

fof(f355,plain,
    ( ~ sP10(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6 ),
    inference(backward_demodulation,[],[f50,f351]) ).

fof(f384,plain,
    ( sP10(sk_c7)
    | sP11(multiply(identity,sk_c7))
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_13 ),
    inference(superposition,[],[f378,f364]) ).

fof(f378,plain,
    ( ! [X3] :
        ( sP10(inverse(X3))
        | sP11(multiply(X3,sk_c7)) )
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_13 ),
    inference(forward_demodulation,[],[f187,f351]) ).

fof(f322,plain,
    ( ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_15 ),
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_15 ),
    inference(subsumption_resolution,[],[f316,f47]) ).

fof(f316,plain,
    ( sP7(sk_c7)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_15 ),
    inference(backward_demodulation,[],[f277,f299]) ).

fof(f277,plain,
    ( sP7(sk_c6)
    | ~ spl24_2
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_5
    | ~ spl24_6
    | ~ spl24_15 ),
    inference(backward_demodulation,[],[f194,f273]) ).

fof(f236,plain,
    ( spl24_22
    | spl24_23
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_14 ),
    inference(avatar_split_clause,[],[f227,f189,f117,f112,f233,f229]) ).

fof(f227,plain,
    ( sP8(sk_c8)
    | sP9(sk_c8)
    | ~ spl24_3
    | ~ spl24_4
    | ~ spl24_14 ),
    inference(forward_demodulation,[],[f226,f212]) ).

fof(f226,plain,
    ( sP9(sk_c8)
    | sP8(inverse(sk_c4))
    | ~ spl24_4
    | ~ spl24_14 ),
    inference(superposition,[],[f190,f211]) ).

fof(f215,plain,
    ( ~ spl24_17
    | ~ spl24_2 ),
    inference(avatar_split_clause,[],[f213,f107,f199]) ).

fof(f199,plain,
    ( spl24_17
  <=> sP4(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).

fof(f213,plain,
    ( ~ sP4(sk_c6)
    | ~ spl24_2 ),
    inference(backward_demodulation,[],[f100,f109]) ).

fof(f100,plain,
    ~ sP4(sF12),
    inference(definition_folding,[],[f44,f53]) ).

fof(f44,plain,
    ~ sP4(multiply(sk_c7,sk_c8)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f208,plain,
    ( spl24_13
    | spl24_14
    | spl24_15
    | spl24_16
    | spl24_17
    | spl24_18
    | spl24_19 ),
    inference(avatar_split_clause,[],[f101,f206,f203,f199,f196,f192,f189,f186]) ).

fof(f101,plain,
    ! [X3,X6,X7,X4,X5] :
      ( sP0(multiply(X7,sk_c6))
      | sP1(inverse(X7))
      | sP2(multiply(X6,sk_c7))
      | sP3(inverse(X6))
      | sP4(sk_c6)
      | sP5(inverse(X5))
      | sP6(multiply(X5,sk_c6))
      | sP7(sF21)
      | sP8(inverse(X4))
      | sP9(multiply(X4,sk_c7))
      | sP10(inverse(X3))
      | sP11(multiply(X3,sk_c8)) ),
    inference(definition_folding,[],[f52,f82]) ).

fof(f52,plain,
    ! [X3,X6,X7,X4,X5] :
      ( sP0(multiply(X7,sk_c6))
      | sP1(inverse(X7))
      | sP2(multiply(X6,sk_c7))
      | sP3(inverse(X6))
      | sP4(sk_c6)
      | sP5(inverse(X5))
      | sP6(multiply(X5,sk_c6))
      | sP7(multiply(sk_c6,sk_c8))
      | sP8(inverse(X4))
      | sP9(multiply(X4,sk_c7))
      | sP10(inverse(X3))
      | sP11(multiply(X3,sk_c8)) ),
    inference(inequality_splitting,[],[f39,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40]) ).

fof(f39,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != inverse(X7)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != inverse(X6)
      | multiply(sk_c7,sk_c8) != sk_c6
      | sk_c6 != inverse(X5)
      | sk_c8 != multiply(X5,sk_c6)
      | sk_c7 != multiply(sk_c6,sk_c8)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_36) ).

fof(f184,plain,
    ( spl24_12
    | spl24_6 ),
    inference(avatar_split_clause,[],[f99,f127,f177]) ).

fof(f99,plain,
    ( sk_c7 = sF17
    | sk_c6 = sF23 ),
    inference(definition_folding,[],[f38,f94,f62]) ).

fof(f38,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_35) ).

fof(f183,plain,
    ( spl24_12
    | spl24_5 ),
    inference(avatar_split_clause,[],[f98,f122,f177]) ).

fof(f98,plain,
    ( sk_c7 = sF16
    | sk_c6 = sF23 ),
    inference(definition_folding,[],[f37,f94,f60]) ).

fof(f37,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_34) ).

fof(f182,plain,
    ( spl24_12
    | spl24_4 ),
    inference(avatar_split_clause,[],[f97,f117,f177]) ).

fof(f97,plain,
    ( sk_c8 = sF15
    | sk_c6 = sF23 ),
    inference(definition_folding,[],[f36,f94,f58]) ).

fof(f36,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_33) ).

fof(f181,plain,
    ( spl24_12
    | spl24_3 ),
    inference(avatar_split_clause,[],[f96,f112,f177]) ).

fof(f96,plain,
    ( sk_c8 = sF14
    | sk_c6 = sF23 ),
    inference(definition_folding,[],[f35,f94,f56]) ).

fof(f35,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_32) ).

fof(f180,plain,
    ( spl24_12
    | spl24_2 ),
    inference(avatar_split_clause,[],[f95,f107,f177]) ).

fof(f95,plain,
    ( sk_c6 = sF12
    | sk_c6 = sF23 ),
    inference(definition_folding,[],[f34,f94,f53]) ).

fof(f34,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_31) ).

fof(f175,plain,
    ( spl24_11
    | spl24_6 ),
    inference(avatar_split_clause,[],[f93,f127,f168]) ).

fof(f93,plain,
    ( sk_c7 = sF17
    | sk_c8 = sF22 ),
    inference(definition_folding,[],[f33,f88,f62]) ).

fof(f33,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_30) ).

fof(f174,plain,
    ( spl24_11
    | spl24_5 ),
    inference(avatar_split_clause,[],[f92,f122,f168]) ).

fof(f92,plain,
    ( sk_c7 = sF16
    | sk_c8 = sF22 ),
    inference(definition_folding,[],[f32,f88,f60]) ).

fof(f32,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_29) ).

fof(f173,plain,
    ( spl24_11
    | spl24_4 ),
    inference(avatar_split_clause,[],[f91,f117,f168]) ).

fof(f91,plain,
    ( sk_c8 = sF15
    | sk_c8 = sF22 ),
    inference(definition_folding,[],[f31,f88,f58]) ).

fof(f31,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_28) ).

fof(f172,plain,
    ( spl24_11
    | spl24_3 ),
    inference(avatar_split_clause,[],[f90,f112,f168]) ).

fof(f90,plain,
    ( sk_c8 = sF14
    | sk_c8 = sF22 ),
    inference(definition_folding,[],[f30,f88,f56]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_27) ).

fof(f171,plain,
    ( spl24_11
    | spl24_2 ),
    inference(avatar_split_clause,[],[f89,f107,f168]) ).

fof(f89,plain,
    ( sk_c6 = sF12
    | sk_c8 = sF22 ),
    inference(definition_folding,[],[f29,f88,f53]) ).

fof(f29,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_26) ).

fof(f166,plain,
    ( spl24_10
    | spl24_6 ),
    inference(avatar_split_clause,[],[f87,f127,f159]) ).

fof(f87,plain,
    ( sk_c7 = sF17
    | sk_c7 = sF21 ),
    inference(definition_folding,[],[f28,f82,f62]) ).

fof(f28,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_25) ).

fof(f165,plain,
    ( spl24_10
    | spl24_5 ),
    inference(avatar_split_clause,[],[f86,f122,f159]) ).

fof(f86,plain,
    ( sk_c7 = sF16
    | sk_c7 = sF21 ),
    inference(definition_folding,[],[f27,f82,f60]) ).

fof(f27,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_24) ).

fof(f164,plain,
    ( spl24_10
    | spl24_4 ),
    inference(avatar_split_clause,[],[f85,f117,f159]) ).

fof(f85,plain,
    ( sk_c8 = sF15
    | sk_c7 = sF21 ),
    inference(definition_folding,[],[f26,f82,f58]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_23) ).

fof(f163,plain,
    ( spl24_10
    | spl24_3 ),
    inference(avatar_split_clause,[],[f84,f112,f159]) ).

fof(f84,plain,
    ( sk_c8 = sF14
    | sk_c7 = sF21 ),
    inference(definition_folding,[],[f25,f82,f56]) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_22) ).

fof(f162,plain,
    ( spl24_10
    | spl24_2 ),
    inference(avatar_split_clause,[],[f83,f107,f159]) ).

fof(f83,plain,
    ( sk_c6 = sF12
    | sk_c7 = sF21 ),
    inference(definition_folding,[],[f24,f82,f53]) ).

fof(f24,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_21) ).

fof(f156,plain,
    ( spl24_9
    | spl24_5 ),
    inference(avatar_split_clause,[],[f80,f122,f150]) ).

fof(f80,plain,
    ( sk_c7 = sF16
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f22,f76,f60]) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_19) ).

fof(f155,plain,
    ( spl24_9
    | spl24_4 ),
    inference(avatar_split_clause,[],[f79,f117,f150]) ).

fof(f79,plain,
    ( sk_c8 = sF15
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f21,f76,f58]) ).

fof(f21,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_18) ).

fof(f154,plain,
    ( spl24_9
    | spl24_3 ),
    inference(avatar_split_clause,[],[f78,f112,f150]) ).

fof(f78,plain,
    ( sk_c8 = sF14
    | sk_c7 = sF20 ),
    inference(definition_folding,[],[f20,f76,f56]) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_17) ).

fof(f147,plain,
    ( spl24_8
    | spl24_5 ),
    inference(avatar_split_clause,[],[f74,f122,f141]) ).

fof(f74,plain,
    ( sk_c7 = sF16
    | sk_c6 = sF19 ),
    inference(definition_folding,[],[f17,f70,f60]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_14) ).

fof(f146,plain,
    ( spl24_8
    | spl24_4 ),
    inference(avatar_split_clause,[],[f73,f117,f141]) ).

fof(f73,plain,
    ( sk_c8 = sF15
    | sk_c6 = sF19 ),
    inference(definition_folding,[],[f16,f70,f58]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_13) ).

fof(f145,plain,
    ( spl24_8
    | spl24_3 ),
    inference(avatar_split_clause,[],[f72,f112,f141]) ).

fof(f72,plain,
    ( sk_c8 = sF14
    | sk_c6 = sF19 ),
    inference(definition_folding,[],[f15,f70,f56]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_12) ).

fof(f139,plain,
    ( spl24_7
    | spl24_6 ),
    inference(avatar_split_clause,[],[f69,f127,f132]) ).

fof(f69,plain,
    ( sk_c7 = sF17
    | sk_c8 = sF18 ),
    inference(definition_folding,[],[f13,f64,f62]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_10) ).

fof(f138,plain,
    ( spl24_7
    | spl24_5 ),
    inference(avatar_split_clause,[],[f68,f122,f132]) ).

fof(f68,plain,
    ( sk_c7 = sF16
    | sk_c8 = sF18 ),
    inference(definition_folding,[],[f12,f64,f60]) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_9) ).

fof(f137,plain,
    ( spl24_7
    | spl24_4 ),
    inference(avatar_split_clause,[],[f67,f117,f132]) ).

fof(f67,plain,
    ( sk_c8 = sF15
    | sk_c8 = sF18 ),
    inference(definition_folding,[],[f11,f64,f58]) ).

fof(f11,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_8) ).

fof(f136,plain,
    ( spl24_7
    | spl24_3 ),
    inference(avatar_split_clause,[],[f66,f112,f132]) ).

fof(f66,plain,
    ( sk_c8 = sF14
    | sk_c8 = sF18 ),
    inference(definition_folding,[],[f10,f64,f56]) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_7) ).

fof(f135,plain,
    ( spl24_7
    | spl24_2 ),
    inference(avatar_split_clause,[],[f65,f107,f132]) ).

fof(f65,plain,
    ( sk_c6 = sF12
    | sk_c8 = sF18 ),
    inference(definition_folding,[],[f9,f64,f53]) ).

fof(f9,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_6) ).

fof(f130,plain,
    ( spl24_1
    | spl24_6 ),
    inference(avatar_split_clause,[],[f63,f127,f103]) ).

fof(f63,plain,
    ( sk_c7 = sF17
    | sk_c7 = sF13 ),
    inference(definition_folding,[],[f8,f54,f62]) ).

fof(f8,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_5) ).

fof(f125,plain,
    ( spl24_1
    | spl24_5 ),
    inference(avatar_split_clause,[],[f61,f122,f103]) ).

fof(f61,plain,
    ( sk_c7 = sF16
    | sk_c7 = sF13 ),
    inference(definition_folding,[],[f7,f54,f60]) ).

fof(f7,axiom,
    ( sk_c7 = inverse(sk_c5)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_4) ).

fof(f120,plain,
    ( spl24_1
    | spl24_4 ),
    inference(avatar_split_clause,[],[f59,f117,f103]) ).

fof(f59,plain,
    ( sk_c8 = sF15
    | sk_c7 = sF13 ),
    inference(definition_folding,[],[f6,f54,f58]) ).

fof(f6,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_3) ).

fof(f115,plain,
    ( spl24_1
    | spl24_3 ),
    inference(avatar_split_clause,[],[f57,f112,f103]) ).

fof(f57,plain,
    ( sk_c8 = sF14
    | sk_c7 = sF13 ),
    inference(definition_folding,[],[f5,f54,f56]) ).

fof(f5,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_2) ).

fof(f110,plain,
    ( spl24_1
    | spl24_2 ),
    inference(avatar_split_clause,[],[f55,f107,f103]) ).

fof(f55,plain,
    ( sk_c6 = sF12
    | sk_c7 = sF13 ),
    inference(definition_folding,[],[f4,f54,f53]) ).

fof(f4,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP259-1 : TPTP v8.1.2. Released v2.5.0.
% 0.16/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n027.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 20:50:38 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.5yHtWoJrgo/Vampire---4.8_23029
% 0.57/0.75  % (23486)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (23488)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (23491)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75  % (23490)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (23489)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75  % (23487)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75  % (23492)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75  % (23486)Refutation not found, incomplete strategy% (23486)------------------------------
% 0.57/0.75  % (23486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (23486)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (23486)Memory used [KB]: 1001
% 0.57/0.75  % (23486)Time elapsed: 0.003 s
% 0.57/0.75  % (23486)Instructions burned: 4 (million)
% 0.57/0.75  % (23490)Refutation not found, incomplete strategy% (23490)------------------------------
% 0.57/0.75  % (23490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (23489)Refutation not found, incomplete strategy% (23489)------------------------------
% 0.57/0.75  % (23489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (23489)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (23489)Memory used [KB]: 992
% 0.57/0.75  % (23489)Time elapsed: 0.003 s
% 0.57/0.75  % (23489)Instructions burned: 4 (million)
% 0.57/0.75  % (23490)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  % (23486)------------------------------
% 0.57/0.75  % (23486)------------------------------
% 0.57/0.75  
% 0.57/0.75  % (23490)Memory used [KB]: 1001
% 0.57/0.75  % (23490)Time elapsed: 0.004 s
% 0.57/0.75  % (23490)Instructions burned: 4 (million)
% 0.57/0.75  % (23491)Refutation not found, incomplete strategy% (23491)------------------------------
% 0.57/0.75  % (23491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (23489)------------------------------
% 0.57/0.75  % (23489)------------------------------
% 0.57/0.75  % (23491)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  % (23490)------------------------------
% 0.57/0.75  % (23490)------------------------------
% 0.57/0.75  
% 0.57/0.75  % (23491)Memory used [KB]: 989
% 0.57/0.75  % (23491)Time elapsed: 0.004 s
% 0.57/0.75  % (23491)Instructions burned: 5 (million)
% 0.57/0.75  % (23488)Refutation not found, incomplete strategy% (23488)------------------------------
% 0.57/0.75  % (23488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (23488)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (23488)Memory used [KB]: 1055
% 0.57/0.75  % (23488)Time elapsed: 0.004 s
% 0.57/0.75  % (23488)Instructions burned: 5 (million)
% 0.57/0.75  % (23491)------------------------------
% 0.57/0.75  % (23491)------------------------------
% 0.57/0.75  % (23488)------------------------------
% 0.57/0.75  % (23488)------------------------------
% 0.57/0.75  % (23493)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75  % (23493)Refutation not found, incomplete strategy% (23493)------------------------------
% 0.57/0.75  % (23493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (23493)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (23493)Memory used [KB]: 986
% 0.57/0.75  % (23493)Time elapsed: 0.002 s
% 0.57/0.75  % (23493)Instructions burned: 4 (million)
% 0.57/0.75  % (23493)------------------------------
% 0.57/0.75  % (23493)------------------------------
% 0.57/0.75  % (23498)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75  % (23500)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.75  % (23499)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.75  % (23501)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.75  % (23502)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.75  % (23504)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.57/0.76  % (23504)Refutation not found, incomplete strategy% (23504)------------------------------
% 0.57/0.76  % (23504)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (23504)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (23504)Memory used [KB]: 1008
% 0.57/0.76  % (23504)Time elapsed: 0.002 s
% 0.57/0.76  % (23504)Instructions burned: 4 (million)
% 0.57/0.76  % (23504)------------------------------
% 0.57/0.76  % (23504)------------------------------
% 0.57/0.76  % (23499)Refutation not found, incomplete strategy% (23499)------------------------------
% 0.57/0.76  % (23499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (23499)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (23499)Memory used [KB]: 992
% 0.57/0.76  % (23499)Time elapsed: 0.004 s
% 0.57/0.76  % (23499)Instructions burned: 6 (million)
% 0.57/0.76  % (23502)Refutation not found, incomplete strategy% (23502)------------------------------
% 0.57/0.76  % (23502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (23502)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  % (23501)Refutation not found, incomplete strategy% (23501)------------------------------
% 0.57/0.76  % (23501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (23501)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (23501)Memory used [KB]: 1055
% 0.57/0.76  % (23501)Time elapsed: 0.004 s
% 0.57/0.76  % (23501)Instructions burned: 5 (million)
% 0.57/0.76  
% 0.57/0.76  % (23502)Memory used [KB]: 1052
% 0.57/0.76  % (23502)Time elapsed: 0.004 s
% 0.57/0.76  % (23502)Instructions burned: 5 (million)
% 0.63/0.76  % (23499)------------------------------
% 0.63/0.76  % (23499)------------------------------
% 0.63/0.76  % (23501)------------------------------
% 0.63/0.76  % (23501)------------------------------
% 0.63/0.76  % (23502)------------------------------
% 0.63/0.76  % (23502)------------------------------
% 0.63/0.76  % (23507)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.63/0.76  % (23500)Refutation not found, incomplete strategy% (23500)------------------------------
% 0.63/0.76  % (23500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (23509)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.63/0.76  % (23500)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (23500)Memory used [KB]: 1106
% 0.63/0.76  % (23500)Time elapsed: 0.010 s
% 0.63/0.76  % (23500)Instructions burned: 15 (million)
% 0.63/0.76  % (23511)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.63/0.76  % (23500)------------------------------
% 0.63/0.76  % (23500)------------------------------
% 0.63/0.76  % (23510)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.63/0.76  % (23509)Refutation not found, incomplete strategy% (23509)------------------------------
% 0.63/0.76  % (23509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (23509)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (23509)Memory used [KB]: 988
% 0.63/0.76  % (23509)Time elapsed: 0.003 s
% 0.63/0.76  % (23509)Instructions burned: 4 (million)
% 0.63/0.76  % (23509)------------------------------
% 0.63/0.76  % (23509)------------------------------
% 0.63/0.76  % (23507)Refutation not found, incomplete strategy% (23507)------------------------------
% 0.63/0.76  % (23507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (23507)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (23507)Memory used [KB]: 1096
% 0.63/0.76  % (23507)Time elapsed: 0.006 s
% 0.63/0.76  % (23507)Instructions burned: 14 (million)
% 0.63/0.76  % (23507)------------------------------
% 0.63/0.76  % (23507)------------------------------
% 0.63/0.76  % (23510)Refutation not found, incomplete strategy% (23510)------------------------------
% 0.63/0.76  % (23510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (23510)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (23510)Memory used [KB]: 1003
% 0.63/0.76  % (23510)Time elapsed: 0.003 s
% 0.63/0.76  % (23510)Instructions burned: 4 (million)
% 0.63/0.76  % (23510)------------------------------
% 0.63/0.76  % (23510)------------------------------
% 0.63/0.77  % (23514)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.63/0.77  % (23517)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.63/0.77  % (23514)Refutation not found, incomplete strategy% (23514)------------------------------
% 0.63/0.77  % (23514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (23514)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (23514)Memory used [KB]: 988
% 0.63/0.77  % (23514)Time elapsed: 0.004 s
% 0.63/0.77  % (23514)Instructions burned: 3 (million)
% 0.63/0.77  % (23516)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.63/0.77  % (23514)------------------------------
% 0.63/0.77  % (23514)------------------------------
% 0.63/0.77  % (23517)Refutation not found, incomplete strategy% (23517)------------------------------
% 0.63/0.77  % (23517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (23517)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (23517)Memory used [KB]: 1055
% 0.63/0.77  % (23517)Time elapsed: 0.002 s
% 0.63/0.77  % (23517)Instructions burned: 5 (million)
% 0.63/0.77  % (23517)------------------------------
% 0.63/0.77  % (23517)------------------------------
% 0.63/0.77  % (23519)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.63/0.77  % (23516)Refutation not found, incomplete strategy% (23516)------------------------------
% 0.63/0.77  % (23516)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (23516)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (23516)Memory used [KB]: 1060
% 0.63/0.77  % (23516)Time elapsed: 0.004 s
% 0.63/0.77  % (23516)Instructions burned: 5 (million)
% 0.63/0.77  % (23522)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.63/0.77  % (23516)------------------------------
% 0.63/0.77  % (23516)------------------------------
% 0.63/0.77  % (23519)Refutation not found, incomplete strategy% (23519)------------------------------
% 0.63/0.77  % (23519)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (23519)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  % (23522)Refutation not found, incomplete strategy% (23522)------------------------------
% 0.63/0.77  % (23522)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (23522)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (23522)Memory used [KB]: 992
% 0.63/0.77  % (23522)Time elapsed: 0.002 s
% 0.63/0.77  % (23522)Instructions burned: 3 (million)
% 0.63/0.77  
% 0.63/0.77  % (23519)Memory used [KB]: 1009
% 0.63/0.77  % (23519)Time elapsed: 0.004 s
% 0.63/0.77  % (23519)Instructions burned: 5 (million)
% 0.63/0.77  % (23521)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.63/0.77  % (23522)------------------------------
% 0.63/0.77  % (23522)------------------------------
% 0.63/0.77  % (23519)------------------------------
% 0.63/0.77  % (23519)------------------------------
% 0.63/0.77  % (23526)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.63/0.77  % (23524)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.63/0.78  % (23487)Instruction limit reached!
% 0.63/0.78  % (23487)------------------------------
% 0.63/0.78  % (23487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (23487)Termination reason: Unknown
% 0.63/0.78  % (23487)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (23487)Memory used [KB]: 1563
% 0.63/0.78  % (23487)Time elapsed: 0.031 s
% 0.63/0.78  % (23487)Instructions burned: 51 (million)
% 0.63/0.78  % (23487)------------------------------
% 0.63/0.78  % (23487)------------------------------
% 0.63/0.78  % (23527)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.63/0.78  % (23530)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2996ds/109Mi)
% 0.63/0.78  % (23498)Instruction limit reached!
% 0.63/0.78  % (23498)------------------------------
% 0.63/0.78  % (23498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (23498)Termination reason: Unknown
% 0.63/0.78  % (23498)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (23498)Memory used [KB]: 1783
% 0.63/0.78  % (23498)Time elapsed: 0.032 s
% 0.63/0.78  % (23498)Instructions burned: 56 (million)
% 0.63/0.78  % (23498)------------------------------
% 0.63/0.78  % (23498)------------------------------
% 0.63/0.78  % (23526)Instruction limit reached!
% 0.63/0.78  % (23526)------------------------------
% 0.63/0.78  % (23526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (23526)Termination reason: Unknown
% 0.63/0.78  % (23526)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (23526)Memory used [KB]: 1173
% 0.63/0.78  % (23526)Time elapsed: 0.011 s
% 0.63/0.78  % (23526)Instructions burned: 36 (million)
% 0.63/0.78  % (23526)------------------------------
% 0.63/0.78  % (23526)------------------------------
% 0.63/0.79  % (23492)Instruction limit reached!
% 0.63/0.79  % (23492)------------------------------
% 0.63/0.79  % (23492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (23492)Termination reason: Unknown
% 0.63/0.79  % (23492)Termination phase: Saturation
% 0.63/0.79  
% 0.63/0.79  % (23492)Memory used [KB]: 1911
% 0.63/0.79  % (23492)Time elapsed: 0.041 s
% 0.63/0.79  % (23492)Instructions burned: 83 (million)
% 0.63/0.79  % (23492)------------------------------
% 0.63/0.79  % (23492)------------------------------
% 0.63/0.79  % (23537)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.63/0.79  % (23535)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.63/0.79  % (23537)Refutation not found, incomplete strategy% (23537)------------------------------
% 0.63/0.79  % (23537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (23537)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (23537)Memory used [KB]: 1072
% 0.63/0.79  % (23537)Time elapsed: 0.002 s
% 0.63/0.79  % (23537)Instructions burned: 5 (million)
% 0.63/0.79  % (23537)------------------------------
% 0.63/0.79  % (23537)------------------------------
% 0.63/0.79  % (23535)Refutation not found, incomplete strategy% (23535)------------------------------
% 0.63/0.79  % (23535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (23535)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (23535)Memory used [KB]: 981
% 0.63/0.79  % (23535)Time elapsed: 0.004 s
% 0.63/0.79  % (23535)Instructions burned: 4 (million)
% 0.63/0.79  % (23535)------------------------------
% 0.63/0.79  % (23535)------------------------------
% 0.63/0.79  % (23539)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.63/0.79  % (23541)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.63/0.79  % (23542)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.63/0.80  % (23521)Instruction limit reached!
% 0.63/0.80  % (23521)------------------------------
% 0.63/0.80  % (23521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (23521)Termination reason: Unknown
% 0.63/0.80  % (23521)Termination phase: Saturation
% 0.63/0.80  
% 0.63/0.80  % (23521)Memory used [KB]: 1182
% 0.63/0.80  % (23521)Time elapsed: 0.028 s
% 0.63/0.80  % (23521)Instructions burned: 55 (million)
% 0.63/0.80  % (23521)------------------------------
% 0.63/0.80  % (23521)------------------------------
% 0.63/0.80  % (23539)Refutation not found, incomplete strategy% (23539)------------------------------
% 0.63/0.80  % (23539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (23539)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (23539)Memory used [KB]: 1200
% 0.63/0.80  % (23539)Time elapsed: 0.012 s
% 0.63/0.80  % (23539)Instructions burned: 17 (million)
% 0.63/0.80  % (23539)------------------------------
% 0.63/0.80  % (23539)------------------------------
% 0.63/0.80  % (23547)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.63/0.80  % (23541)First to succeed.
% 0.63/0.81  % (23550)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.63/0.81  % (23541)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23308"
% 0.63/0.81  % (23541)Refutation found. Thanks to Tanya!
% 0.63/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.81  % (23541)------------------------------
% 0.63/0.81  % (23541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (23541)Termination reason: Refutation
% 0.63/0.81  
% 0.63/0.81  % (23541)Memory used [KB]: 1339
% 0.63/0.81  % (23541)Time elapsed: 0.016 s
% 0.63/0.81  % (23541)Instructions burned: 44 (million)
% 0.63/0.81  % (23308)Success in time 0.423 s
% 0.63/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------