TSTP Solution File: GRP240-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP240-1 : 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 : n032.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 05:47:02 EDT 2024

% Result   : Unsatisfiable 0.65s 0.73s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   73
% Syntax   : Number of formulae    :  228 (   6 unt;   0 def)
%            Number of atoms       :  725 ( 328 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  968 ( 471   ~; 463   |;   0   &)
%                                         (  34 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   36 (  34 usr;  35 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   65 (  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1152,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f77,f97,f102,f107,f112,f113,f117,f118,f119,f124,f125,f129,f130,f131,f136,f137,f141,f142,f143,f192,f207,f217,f251,f260,f275,f305,f306,f307,f325,f336,f342,f347,f356,f490,f505,f520,f575,f577,f579,f610,f611,f613,f630,f649,f651,f660,f663,f687,f688,f807,f847,f997,f1009,f1020,f1077,f1089,f1093,f1096,f1135,f1139,f1141,f1142,f1145,f1147,f1149,f1151]) ).

fof(f1151,plain,
    ( sk_c9 != multiply(sk_c9,sk_c10)
    | identity != multiply(sk_c9,sk_c10)
    | sk_c10 != multiply(sk_c10,identity)
    | identity != multiply(sk_c10,sk_c9)
    | sk_c10 = sk_c9 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1149,plain,
    ( inverse(sk_c10) != sk_c9
    | sk_c9 != multiply(sk_c9,sk_c10)
    | identity != multiply(sk_c9,sk_c10)
    | sk_c10 != multiply(sk_c10,identity)
    | identity != multiply(sk_c10,sk_c9)
    | sk_c10 = inverse(sk_c10) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1147,plain,
    ( sk_c9 != multiply(sk_c9,sk_c10)
    | identity != multiply(sk_c9,sk_c10)
    | sk_c10 != multiply(sk_c10,identity)
    | identity != multiply(sk_c10,sk_c9)
    | sk_c10 != multiply(sk_c1,sk_c9)
    | sk_c10 = multiply(sk_c1,sk_c10) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1145,plain,
    ( sk_c9 != inverse(sk_c1)
    | sk_c9 != multiply(sk_c9,sk_c10)
    | identity != multiply(sk_c9,sk_c10)
    | sk_c10 != multiply(sk_c10,identity)
    | identity != multiply(sk_c10,sk_c9)
    | sk_c10 = inverse(sk_c1) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1142,plain,
    ( sk_c9 != multiply(sk_c9,sk_c10)
    | identity != multiply(sk_c9,sk_c10)
    | identity != multiply(sk_c10,sk_c9)
    | identity = multiply(sk_c10,identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1141,plain,
    ( sk_c9 != multiply(sk_c9,sk_c10)
    | identity != multiply(sk_c9,sk_c10)
    | sk_c10 != inverse(sk_c9)
    | sk_c10 = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1139,plain,
    ( sk_c9 != multiply(sk_c9,sk_c10)
    | identity != multiply(sk_c9,sk_c10)
    | sk_c10 != inverse(sk_c9)
    | sk_c10 != multiply(sk_c10,identity)
    | identity != multiply(sk_c10,sk_c9)
    | identity = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1135,plain,
    ( spl0_78
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1130,f133,f121,f1132]) ).

fof(f1132,plain,
    ( spl0_78
  <=> sk_c9 = multiply(sk_c9,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f121,plain,
    ( spl0_11
  <=> sk_c10 = multiply(sk_c1,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f133,plain,
    ( spl0_12
  <=> sk_c9 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1130,plain,
    ( sk_c9 = multiply(sk_c9,sk_c10)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1128,f135]) ).

fof(f135,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f1128,plain,
    ( sk_c9 = multiply(inverse(sk_c1),sk_c10)
    | ~ spl0_11 ),
    inference(superposition,[],[f238,f123]) ).

fof(f123,plain,
    ( sk_c10 = multiply(sk_c1,sk_c9)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f238,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f225,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',left_identity) ).

fof(f225,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',associativity) ).

fof(f1096,plain,
    ( spl0_20
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1095,f109,f199]) ).

fof(f199,plain,
    ( spl0_20
  <=> identity = multiply(sk_c10,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f109,plain,
    ( spl0_10
  <=> sk_c10 = inverse(sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1095,plain,
    ( identity = multiply(sk_c10,sk_c9)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f111]) ).

fof(f111,plain,
    ( sk_c10 = inverse(sk_c9)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f1093,plain,
    ( spl0_27
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1092,f65,f265]) ).

fof(f265,plain,
    ( spl0_27
  <=> identity = multiply(sk_c9,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f65,plain,
    ( spl0_1
  <=> inverse(sk_c10) = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1092,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f67]) ).

fof(f67,plain,
    ( inverse(sk_c10) = sk_c9
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f1089,plain,
    ( sk_c9 != inverse(sk_c1)
    | identity != multiply(sk_c9,sk_c10)
    | sk_c10 != multiply(inverse(sk_c1),sk_c10)
    | identity = sk_c10 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1077,plain,
    ( spl0_75
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f994,f339,f1074]) ).

fof(f1074,plain,
    ( spl0_75
  <=> sk_c10 = multiply(inverse(sk_c1),sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f339,plain,
    ( spl0_37
  <=> sk_c10 = multiply(sk_c1,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f994,plain,
    ( sk_c10 = multiply(inverse(sk_c1),sk_c10)
    | ~ spl0_37 ),
    inference(superposition,[],[f238,f341]) ).

fof(f341,plain,
    ( sk_c10 = multiply(sk_c1,sk_c10)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f1020,plain,
    ( inverse(sk_c10) != sk_c9
    | sk_c9 != multiply(sk_c10,sk_c10)
    | sk_c10 != multiply(sk_c10,sk_c10)
    | sk_c10 = inverse(sk_c10) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1009,plain,
    ( identity != sk_c10
    | sk_c10 != inverse(identity)
    | sk_c10 = inverse(sk_c10) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f997,plain,
    ( spl0_38
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f996,f350,f339,f344]) ).

fof(f344,plain,
    ( spl0_38
  <=> sk_c10 = multiply(sk_c10,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f350,plain,
    ( spl0_39
  <=> sk_c10 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f996,plain,
    ( sk_c10 = multiply(sk_c10,sk_c10)
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(forward_demodulation,[],[f994,f351]) ).

fof(f351,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f847,plain,
    ( identity != multiply(sk_c10,identity)
    | sk_c10 != multiply(sk_c10,identity)
    | identity = sk_c10 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f807,plain,
    ( ~ spl0_17
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_60 ),
    inference(avatar_contradiction_clause,[],[f806]) ).

fof(f806,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f805,f747]) ).

fof(f747,plain,
    ( identity = inverse(identity)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f745,plain,
    ( spl0_60
  <=> identity = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f805,plain,
    ( identity != inverse(identity)
    | ~ spl0_17
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_60 ),
    inference(forward_demodulation,[],[f801,f747]) ).

fof(f801,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_17
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(trivial_inequality_removal,[],[f800]) ).

fof(f800,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_17
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(superposition,[],[f797,f2]) ).

fof(f797,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_17
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f796,f301]) ).

fof(f301,plain,
    ( identity = sk_c10
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f300,plain,
    ( spl0_32
  <=> identity = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f796,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | sk_c10 != inverse(X5) )
    | ~ spl0_17
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f795,f1]) ).

fof(f795,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | sk_c10 != inverse(X5) )
    | ~ spl0_17
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(forward_demodulation,[],[f737,f301]) ).

fof(f737,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(sk_c10,multiply(X5,sk_c10))
        | sk_c10 != inverse(X5) )
    | ~ spl0_17
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f185,f292]) ).

fof(f292,plain,
    ( sk_c10 = sk_c9
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f291,plain,
    ( spl0_30
  <=> sk_c10 = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f185,plain,
    ( ! [X5] :
        ( sk_c10 != inverse(X5)
        | sk_c9 != multiply(sk_c10,multiply(X5,sk_c10)) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl0_17
  <=> ! [X5] :
        ( sk_c10 != inverse(X5)
        | sk_c9 != multiply(sk_c10,multiply(X5,sk_c10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f688,plain,
    ( ~ spl0_38
    | ~ spl0_19
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f671,f317,f291,f190,f344]) ).

fof(f190,plain,
    ( spl0_19
  <=> ! [X7] :
        ( sk_c9 != multiply(inverse(X7),sk_c10)
        | sk_c9 != multiply(X7,inverse(X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f317,plain,
    ( spl0_33
  <=> sk_c10 = inverse(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f671,plain,
    ( sk_c10 != multiply(sk_c10,sk_c10)
    | ~ spl0_19
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f669]) ).

fof(f669,plain,
    ( sk_c10 != multiply(sk_c10,sk_c10)
    | sk_c10 != multiply(sk_c10,sk_c10)
    | ~ spl0_19
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(superposition,[],[f667,f318]) ).

fof(f318,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f667,plain,
    ( ! [X7] :
        ( sk_c10 != multiply(inverse(X7),sk_c10)
        | sk_c10 != multiply(X7,inverse(X7)) )
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f666,f292]) ).

fof(f666,plain,
    ( ! [X7] :
        ( sk_c10 != multiply(inverse(X7),sk_c10)
        | sk_c9 != multiply(X7,inverse(X7)) )
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f191,f292]) ).

fof(f191,plain,
    ( ! [X7] :
        ( sk_c9 != multiply(inverse(X7),sk_c10)
        | sk_c9 != multiply(X7,inverse(X7)) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f687,plain,
    ( ~ spl0_32
    | ~ spl0_38
    | ~ spl0_19
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f686,f317,f291,f190,f344,f300]) ).

fof(f686,plain,
    ( sk_c10 != multiply(sk_c10,sk_c10)
    | identity != sk_c10
    | ~ spl0_19
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f670,f318]) ).

fof(f670,plain,
    ( identity != sk_c10
    | sk_c10 != multiply(sk_c10,inverse(sk_c10))
    | ~ spl0_19
    | ~ spl0_30 ),
    inference(superposition,[],[f667,f2]) ).

fof(f663,plain,
    ( ~ spl0_32
    | ~ spl0_18
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f662,f317,f291,f187,f300]) ).

fof(f187,plain,
    ( spl0_18
  <=> ! [X6] :
        ( sk_c10 != multiply(X6,sk_c9)
        | sk_c10 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f662,plain,
    ( identity != sk_c10
    | ~ spl0_18
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f661,f318]) ).

fof(f661,plain,
    ( sk_c10 != inverse(sk_c10)
    | identity != sk_c10
    | ~ spl0_18
    | ~ spl0_30
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f655,f318]) ).

fof(f655,plain,
    ( identity != sk_c10
    | sk_c10 != inverse(inverse(sk_c10))
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(superposition,[],[f652,f2]) ).

fof(f652,plain,
    ( ! [X6] :
        ( sk_c10 != multiply(X6,sk_c10)
        | sk_c10 != inverse(X6) )
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f188,f292]) ).

fof(f188,plain,
    ( ! [X6] :
        ( sk_c10 != multiply(X6,sk_c9)
        | sk_c10 != inverse(X6) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f660,plain,
    ( ~ spl0_18
    | ~ spl0_30
    | ~ spl0_56 ),
    inference(avatar_contradiction_clause,[],[f659]) ).

fof(f659,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_30
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f658,f511]) ).

fof(f511,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f509,plain,
    ( spl0_56
  <=> sk_c10 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f658,plain,
    ( sk_c10 != inverse(identity)
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f653]) ).

fof(f653,plain,
    ( sk_c10 != sk_c10
    | sk_c10 != inverse(identity)
    | ~ spl0_18
    | ~ spl0_30 ),
    inference(superposition,[],[f652,f1]) ).

fof(f651,plain,
    ( ~ spl0_17
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f650]) ).

fof(f650,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f643,f318]) ).

fof(f643,plain,
    ( sk_c10 != inverse(sk_c10)
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(trivial_inequality_removal,[],[f642]) ).

fof(f642,plain,
    ( sk_c10 != sk_c10
    | sk_c10 != inverse(sk_c10)
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(superposition,[],[f628,f476]) ).

fof(f476,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(backward_demodulation,[],[f240,f442]) ).

fof(f442,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(superposition,[],[f355,f241]) ).

fof(f241,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
    | ~ spl0_23 ),
    inference(forward_demodulation,[],[f229,f1]) ).

fof(f229,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
    | ~ spl0_23 ),
    inference(superposition,[],[f3,f216]) ).

fof(f216,plain,
    ( identity = multiply(sk_c10,sk_c7)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_23
  <=> identity = multiply(sk_c10,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f355,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c10,X0))
    | ~ spl0_34 ),
    inference(superposition,[],[f3,f324]) ).

fof(f324,plain,
    ( sk_c10 = multiply(sk_c4,sk_c10)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f322,plain,
    ( spl0_34
  <=> sk_c10 = multiply(sk_c4,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f240,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f227,f1]) ).

fof(f227,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
    | ~ spl0_21 ),
    inference(superposition,[],[f3,f206]) ).

fof(f206,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f204,plain,
    ( spl0_21
  <=> identity = multiply(sk_c10,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f628,plain,
    ( ! [X5] :
        ( sk_c10 != multiply(X5,sk_c10)
        | sk_c10 != inverse(X5) )
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f627,f292]) ).

fof(f627,plain,
    ( ! [X5] :
        ( sk_c9 != multiply(X5,sk_c10)
        | sk_c10 != inverse(X5) )
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f185,f476]) ).

fof(f649,plain,
    ( ~ spl0_32
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f648,f322,f317,f291,f214,f204,f184,f300]) ).

fof(f648,plain,
    ( identity != sk_c10
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f647,f318]) ).

fof(f647,plain,
    ( sk_c10 != inverse(sk_c10)
    | identity != sk_c10
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f641,f318]) ).

fof(f641,plain,
    ( identity != sk_c10
    | sk_c10 != inverse(inverse(sk_c10))
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(superposition,[],[f628,f2]) ).

fof(f630,plain,
    ( spl0_33
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f629,f291,f109,f317]) ).

fof(f629,plain,
    ( sk_c10 = inverse(sk_c10)
    | ~ spl0_10
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f111,f292]) ).

fof(f613,plain,
    ( spl0_32
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f596,f322,f214,f204,f300]) ).

fof(f596,plain,
    ( identity = sk_c10
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(superposition,[],[f558,f2]) ).

fof(f558,plain,
    ( ! [X0] : multiply(inverse(sk_c10),X0) = X0
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(superposition,[],[f238,f476]) ).

fof(f611,plain,
    ( identity != sk_c4
    | identity != sk_c10
    | sk_c10 != inverse(sk_c4)
    | sk_c10 != multiply(sk_c10,sk_c8)
    | sk_c9 != multiply(sk_c10,sk_c8)
    | inverse(sk_c10) = sk_c9 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f610,plain,
    ( identity != sk_c4
    | identity != sk_c10
    | sk_c10 != multiply(sk_c10,sk_c8)
    | sk_c9 != multiply(sk_c10,sk_c8)
    | sk_c10 != inverse(sk_c4)
    | sk_c10 = inverse(sk_c9) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f579,plain,
    ( spl0_39
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f578,f291,f133,f350]) ).

fof(f578,plain,
    ( sk_c10 = inverse(sk_c1)
    | ~ spl0_12
    | ~ spl0_30 ),
    inference(forward_demodulation,[],[f135,f292]) ).

fof(f577,plain,
    ( identity != sk_c4
    | identity != sk_c1
    | sk_c10 != inverse(sk_c4)
    | sk_c10 != multiply(sk_c10,sk_c8)
    | sk_c9 != multiply(sk_c10,sk_c8)
    | sk_c9 = inverse(sk_c1) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f575,plain,
    ( spl0_57
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f566,f339,f322,f214,f204,f571]) ).

fof(f571,plain,
    ( spl0_57
  <=> identity = sk_c1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f566,plain,
    ( identity = sk_c1
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_37 ),
    inference(superposition,[],[f2,f559]) ).

fof(f559,plain,
    ( ! [X0] : multiply(inverse(sk_c1),X0) = X0
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_37 ),
    inference(superposition,[],[f238,f529]) ).

fof(f529,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_37 ),
    inference(forward_demodulation,[],[f359,f476]) ).

fof(f359,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | ~ spl0_37 ),
    inference(superposition,[],[f3,f341]) ).

fof(f520,plain,
    ( spl0_56
    | ~ spl0_9
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f517,f502,f104,f509]) ).

fof(f104,plain,
    ( spl0_9
  <=> sk_c10 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f502,plain,
    ( spl0_55
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f517,plain,
    ( sk_c10 = inverse(identity)
    | ~ spl0_9
    | ~ spl0_55 ),
    inference(backward_demodulation,[],[f106,f504]) ).

fof(f504,plain,
    ( identity = sk_c7
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f106,plain,
    ( sk_c10 = inverse(sk_c7)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f505,plain,
    ( spl0_55
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f484,f322,f214,f204,f502]) ).

fof(f484,plain,
    ( identity = sk_c7
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(backward_demodulation,[],[f216,f476]) ).

fof(f490,plain,
    ( spl0_52
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f481,f322,f214,f204,f487]) ).

fof(f487,plain,
    ( spl0_52
  <=> identity = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f481,plain,
    ( identity = sk_c4
    | ~ spl0_21
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(backward_demodulation,[],[f206,f476]) ).

fof(f356,plain,
    ( spl0_38
    | ~ spl0_21
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f354,f322,f204,f344]) ).

fof(f354,plain,
    ( sk_c10 = multiply(sk_c10,sk_c10)
    | ~ spl0_21
    | ~ spl0_34 ),
    inference(superposition,[],[f240,f324]) ).

fof(f347,plain,
    ( spl0_38
    | ~ spl0_25
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f315,f291,f248,f344]) ).

fof(f248,plain,
    ( spl0_25
  <=> sk_c9 = multiply(sk_c10,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f315,plain,
    ( sk_c10 = multiply(sk_c10,sk_c10)
    | ~ spl0_25
    | ~ spl0_30 ),
    inference(backward_demodulation,[],[f250,f292]) ).

fof(f250,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f342,plain,
    ( spl0_37
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f314,f291,f121,f339]) ).

fof(f314,plain,
    ( sk_c10 = multiply(sk_c1,sk_c10)
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(backward_demodulation,[],[f123,f292]) ).

fof(f336,plain,
    ( spl0_26
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f312,f291,f94,f257]) ).

fof(f257,plain,
    ( spl0_26
  <=> sk_c10 = multiply(sk_c10,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f94,plain,
    ( spl0_7
  <=> sk_c9 = multiply(sk_c10,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f312,plain,
    ( sk_c10 = multiply(sk_c10,sk_c8)
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(backward_demodulation,[],[f96,f292]) ).

fof(f96,plain,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f325,plain,
    ( spl0_34
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f309,f291,f74,f322]) ).

fof(f74,plain,
    ( spl0_3
  <=> sk_c10 = multiply(sk_c4,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f309,plain,
    ( sk_c10 = multiply(sk_c4,sk_c10)
    | ~ spl0_3
    | ~ spl0_30 ),
    inference(backward_demodulation,[],[f76,f292]) ).

fof(f76,plain,
    ( sk_c10 = multiply(sk_c4,sk_c9)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f307,plain,
    ( sk_c10 != multiply(sk_c10,sk_c8)
    | sk_c9 != multiply(sk_c10,sk_c8)
    | sk_c10 = sk_c9 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f306,plain,
    ( ~ spl0_12
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f284,f181,f121,f133]) ).

fof(f181,plain,
    ( spl0_16
  <=> ! [X3] :
        ( sk_c9 != inverse(X3)
        | sk_c10 != multiply(X3,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f284,plain,
    ( sk_c9 != inverse(sk_c1)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f283]) ).

fof(f283,plain,
    ( sk_c10 != sk_c10
    | sk_c9 != inverse(sk_c1)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f182,f123]) ).

fof(f182,plain,
    ( ! [X3] :
        ( sk_c10 != multiply(X3,sk_c9)
        | sk_c9 != inverse(X3) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f305,plain,
    ( ~ spl0_30
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f304,f181,f74,f69,f291]) ).

fof(f69,plain,
    ( spl0_2
  <=> sk_c10 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f304,plain,
    ( sk_c10 != sk_c9
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f285,f71]) ).

fof(f71,plain,
    ( sk_c10 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f285,plain,
    ( sk_c9 != inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f282]) ).

fof(f282,plain,
    ( sk_c10 != sk_c10
    | sk_c9 != inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(superposition,[],[f182,f76]) ).

fof(f275,plain,
    ( spl0_28
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f269,f265,f199,f272]) ).

fof(f272,plain,
    ( spl0_28
  <=> sk_c10 = multiply(sk_c10,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f269,plain,
    ( sk_c10 = multiply(sk_c10,identity)
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(superposition,[],[f239,f267]) ).

fof(f267,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f239,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f226,f1]) ).

fof(f226,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c9,X0))
    | ~ spl0_20 ),
    inference(superposition,[],[f3,f201]) ).

fof(f201,plain,
    ( identity = multiply(sk_c10,sk_c9)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f260,plain,
    ( spl0_26
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f254,f214,f99,f257]) ).

fof(f99,plain,
    ( spl0_8
  <=> sk_c8 = multiply(sk_c7,sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f254,plain,
    ( sk_c10 = multiply(sk_c10,sk_c8)
    | ~ spl0_8
    | ~ spl0_23 ),
    inference(superposition,[],[f241,f101]) ).

fof(f101,plain,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f251,plain,
    ( spl0_25
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f245,f204,f74,f248]) ).

fof(f245,plain,
    ( sk_c9 = multiply(sk_c10,sk_c10)
    | ~ spl0_3
    | ~ spl0_21 ),
    inference(superposition,[],[f240,f76]) ).

fof(f217,plain,
    ( spl0_23
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f196,f104,f214]) ).

fof(f196,plain,
    ( identity = multiply(sk_c10,sk_c7)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f106]) ).

fof(f207,plain,
    ( spl0_21
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f194,f69,f204]) ).

fof(f194,plain,
    ( identity = multiply(sk_c10,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f71]) ).

fof(f192,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | spl0_16
    | spl0_17
    | spl0_18
    | spl0_19
    | spl0_17 ),
    inference(avatar_split_clause,[],[f63,f184,f190,f187,f184,f181,f109,f65]) ).

fof(f63,plain,
    ! [X3,X10,X6,X7,X5] :
      ( sk_c10 != inverse(X10)
      | sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
      | sk_c9 != multiply(inverse(X7),sk_c10)
      | sk_c9 != multiply(X7,inverse(X7))
      | sk_c10 != multiply(X6,sk_c9)
      | sk_c10 != inverse(X6)
      | sk_c10 != inverse(X5)
      | sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
      | sk_c9 != inverse(X3)
      | sk_c10 != multiply(X3,sk_c9)
      | sk_c10 != inverse(sk_c9)
      | inverse(sk_c10) != sk_c9 ),
    inference(equality_resolution,[],[f62]) ).

fof(f62,plain,
    ! [X3,X10,X6,X7,X4,X5] :
      ( sk_c10 != inverse(X10)
      | sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
      | sk_c9 != multiply(inverse(X7),sk_c10)
      | sk_c9 != multiply(X7,inverse(X7))
      | sk_c10 != multiply(X6,sk_c9)
      | sk_c10 != inverse(X6)
      | sk_c10 != inverse(X5)
      | multiply(X5,sk_c10) != X4
      | sk_c9 != multiply(sk_c10,X4)
      | sk_c9 != inverse(X3)
      | sk_c10 != multiply(X3,sk_c9)
      | sk_c10 != inverse(sk_c9)
      | inverse(sk_c10) != sk_c9 ),
    inference(equality_resolution,[],[f61]) ).

fof(f61,plain,
    ! [X3,X10,X8,X6,X7,X4,X5] :
      ( sk_c10 != inverse(X10)
      | sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
      | sk_c9 != multiply(X8,sk_c10)
      | inverse(X7) != X8
      | sk_c9 != multiply(X7,X8)
      | sk_c10 != multiply(X6,sk_c9)
      | sk_c10 != inverse(X6)
      | sk_c10 != inverse(X5)
      | multiply(X5,sk_c10) != X4
      | sk_c9 != multiply(sk_c10,X4)
      | sk_c9 != inverse(X3)
      | sk_c10 != multiply(X3,sk_c9)
      | sk_c10 != inverse(sk_c9)
      | inverse(sk_c10) != sk_c9 ),
    inference(equality_resolution,[],[f60]) ).

fof(f60,axiom,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != inverse(X10)
      | multiply(X10,sk_c10) != X9
      | sk_c9 != multiply(sk_c10,X9)
      | sk_c9 != multiply(X8,sk_c10)
      | inverse(X7) != X8
      | sk_c9 != multiply(X7,X8)
      | sk_c10 != multiply(X6,sk_c9)
      | sk_c10 != inverse(X6)
      | sk_c10 != inverse(X5)
      | multiply(X5,sk_c10) != X4
      | sk_c9 != multiply(sk_c10,X4)
      | sk_c9 != inverse(X3)
      | sk_c10 != multiply(X3,sk_c9)
      | sk_c10 != inverse(sk_c9)
      | inverse(sk_c10) != sk_c9 ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_57) ).

fof(f143,plain,
    ( spl0_12
    | spl0_9 ),
    inference(avatar_split_clause,[],[f35,f104,f133]) ).

fof(f35,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_32) ).

fof(f142,plain,
    ( spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f34,f99,f133]) ).

fof(f34,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_31) ).

fof(f141,plain,
    ( spl0_12
    | spl0_7 ),
    inference(avatar_split_clause,[],[f33,f94,f133]) ).

fof(f33,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_30) ).

fof(f137,plain,
    ( spl0_12
    | spl0_3 ),
    inference(avatar_split_clause,[],[f29,f74,f133]) ).

fof(f29,axiom,
    ( sk_c10 = multiply(sk_c4,sk_c9)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_26) ).

fof(f136,plain,
    ( spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f28,f69,f133]) ).

fof(f28,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_25) ).

fof(f131,plain,
    ( spl0_11
    | spl0_9 ),
    inference(avatar_split_clause,[],[f27,f104,f121]) ).

fof(f27,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_24) ).

fof(f130,plain,
    ( spl0_11
    | spl0_8 ),
    inference(avatar_split_clause,[],[f26,f99,f121]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_23) ).

fof(f129,plain,
    ( spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f25,f94,f121]) ).

fof(f25,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_22) ).

fof(f125,plain,
    ( spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f21,f74,f121]) ).

fof(f21,axiom,
    ( sk_c10 = multiply(sk_c4,sk_c9)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_18) ).

fof(f124,plain,
    ( spl0_11
    | spl0_2 ),
    inference(avatar_split_clause,[],[f20,f69,f121]) ).

fof(f20,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_17) ).

fof(f119,plain,
    ( spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f19,f104,f109]) ).

fof(f19,axiom,
    ( sk_c10 = inverse(sk_c7)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_16) ).

fof(f118,plain,
    ( spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f18,f99,f109]) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_15) ).

fof(f117,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f17,f94,f109]) ).

fof(f17,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_14) ).

fof(f113,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f13,f74,f109]) ).

fof(f13,axiom,
    ( sk_c10 = multiply(sk_c4,sk_c9)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_10) ).

fof(f112,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f12,f69,f109]) ).

fof(f12,axiom,
    ( sk_c10 = inverse(sk_c4)
    | sk_c10 = inverse(sk_c9) ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_9) ).

fof(f107,plain,
    ( spl0_1
    | spl0_9 ),
    inference(avatar_split_clause,[],[f11,f104,f65]) ).

fof(f11,axiom,
    ( sk_c10 = inverse(sk_c7)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_8) ).

fof(f102,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_split_clause,[],[f10,f99,f65]) ).

fof(f10,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c10)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_7) ).

fof(f97,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f9,f94,f65]) ).

fof(f9,axiom,
    ( sk_c9 = multiply(sk_c10,sk_c8)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_6) ).

fof(f77,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f74,f65]) ).

fof(f5,axiom,
    ( sk_c10 = multiply(sk_c4,sk_c9)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_2) ).

fof(f72,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f69,f65]) ).

fof(f4,axiom,
    ( sk_c10 = inverse(sk_c4)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/tmp/tmp.o7qkUuPfgf/Vampire---4.8_31317',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GRP240-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.11  % 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
% 0.15/0.31  % Computer : n032.cluster.edu
% 0.15/0.31  % Model    : x86_64 x86_64
% 0.15/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.31  % Memory   : 8042.1875MB
% 0.15/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31  % CPULimit   : 300
% 0.15/0.31  % WCLimit    : 300
% 0.15/0.31  % DateTime   : Fri May  3 20:47:22 EDT 2024
% 0.15/0.31  % CPUTime    : 
% 0.15/0.31  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.31  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.o7qkUuPfgf/Vampire---4.8_31317
% 0.46/0.67  % (31427)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.67  % (31428)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)
% 0.46/0.67  % (31431)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)
% 0.46/0.67  % (31426)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)
% 0.46/0.67  % (31429)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)
% 0.46/0.67  % (31430)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)
% 0.46/0.67  % (31432)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)
% 0.46/0.67  % (31425)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)
% 0.46/0.67  % (31432)Refutation not found, incomplete strategy% (31432)------------------------------
% 0.46/0.67  % (31432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67  % (31427)Refutation not found, incomplete strategy% (31427)------------------------------
% 0.46/0.67  % (31427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67  % (31427)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.67  
% 0.46/0.67  % (31427)Memory used [KB]: 1099
% 0.46/0.67  % (31427)Time elapsed: 0.003 s
% 0.46/0.67  % (31427)Instructions burned: 8 (million)
% 0.46/0.67  % (31432)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.67  
% 0.46/0.67  % (31428)Refutation not found, incomplete strategy% (31428)------------------------------
% 0.46/0.67  % (31428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67  % (31428)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.67  
% 0.46/0.67  % (31428)Memory used [KB]: 1019
% 0.46/0.67  % (31428)Time elapsed: 0.004 s
% 0.46/0.67  % (31428)Instructions burned: 5 (million)
% 0.46/0.67  % (31432)Memory used [KB]: 1024
% 0.46/0.67  % (31432)Time elapsed: 0.004 s
% 0.46/0.67  % (31432)Instructions burned: 5 (million)
% 0.46/0.67  % (31427)------------------------------
% 0.46/0.67  % (31427)------------------------------
% 0.46/0.67  % (31428)------------------------------
% 0.46/0.67  % (31428)------------------------------
% 0.46/0.67  % (31432)------------------------------
% 0.46/0.67  % (31432)------------------------------
% 0.46/0.67  % (31429)Refutation not found, incomplete strategy% (31429)------------------------------
% 0.46/0.67  % (31429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67  % (31429)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.67  
% 0.46/0.67  % (31429)Memory used [KB]: 1102
% 0.46/0.67  % (31429)Time elapsed: 0.004 s
% 0.46/0.67  % (31429)Instructions burned: 6 (million)
% 0.46/0.67  % (31425)Refutation not found, incomplete strategy% (31425)------------------------------
% 0.46/0.67  % (31425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67  % (31425)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.67  
% 0.46/0.67  % (31425)Memory used [KB]: 1038
% 0.46/0.67  % (31425)Time elapsed: 0.004 s
% 0.46/0.67  % (31425)Instructions burned: 5 (million)
% 0.46/0.67  % (31429)------------------------------
% 0.46/0.67  % (31429)------------------------------
% 0.46/0.68  % (31425)------------------------------
% 0.46/0.68  % (31425)------------------------------
% 0.46/0.68  % (31431)Refutation not found, incomplete strategy% (31431)------------------------------
% 0.46/0.68  % (31431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.68  % (31431)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.68  
% 0.46/0.68  % (31431)Memory used [KB]: 1114
% 0.46/0.68  % (31431)Time elapsed: 0.006 s
% 0.46/0.68  % (31431)Instructions burned: 10 (million)
% 0.46/0.68  % (31431)------------------------------
% 0.46/0.68  % (31431)------------------------------
% 0.46/0.68  % (31433)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)
% 0.46/0.68  % (31435)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)
% 0.46/0.68  % (31434)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)
% 0.46/0.68  % (31437)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)
% 0.46/0.68  % (31438)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)
% 0.46/0.68  % (31433)Refutation not found, incomplete strategy% (31433)------------------------------
% 0.46/0.68  % (31433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.68  % (31433)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.68  
% 0.46/0.68  % (31433)Memory used [KB]: 1099
% 0.46/0.68  % (31433)Time elapsed: 0.003 s
% 0.46/0.68  % (31433)Instructions burned: 9 (million)
% 0.46/0.68  % (31433)------------------------------
% 0.46/0.68  % (31433)------------------------------
% 0.46/0.68  % (31434)Refutation not found, incomplete strategy% (31434)------------------------------
% 0.46/0.68  % (31434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.68  % (31434)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.68  
% 0.46/0.68  % (31434)Memory used [KB]: 1072
% 0.46/0.68  % (31434)Time elapsed: 0.005 s
% 0.46/0.68  % (31434)Instructions burned: 8 (million)
% 0.46/0.68  % (31434)------------------------------
% 0.46/0.68  % (31434)------------------------------
% 0.46/0.68  % (31438)Refutation not found, incomplete strategy% (31438)------------------------------
% 0.46/0.68  % (31438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.68  % (31438)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.68  
% 0.46/0.68  % (31438)Memory used [KB]: 1042
% 0.46/0.68  % (31438)Time elapsed: 0.003 s
% 0.46/0.68  % (31438)Instructions burned: 5 (million)
% 0.46/0.68  % (31438)------------------------------
% 0.46/0.68  % (31438)------------------------------
% 0.46/0.68  % (31439)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)
% 0.46/0.68  % (31435)Refutation not found, incomplete strategy% (31435)------------------------------
% 0.46/0.68  % (31435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.68  % (31436)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)
% 0.46/0.68  % (31435)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.68  
% 0.46/0.68  % (31435)Memory used [KB]: 1126
% 0.46/0.68  % (31435)Time elapsed: 0.006 s
% 0.46/0.68  % (31435)Instructions burned: 12 (million)
% 0.46/0.68  % (31435)------------------------------
% 0.46/0.68  % (31435)------------------------------
% 0.46/0.69  % (31440)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)
% 0.46/0.69  % (31441)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)
% 0.46/0.69  % (31442)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)
% 0.46/0.69  % (31436)Refutation not found, incomplete strategy% (31436)------------------------------
% 0.46/0.69  % (31436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (31436)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.69  
% 0.46/0.69  % (31436)Memory used [KB]: 1099
% 0.46/0.69  % (31436)Time elapsed: 0.006 s
% 0.46/0.69  % (31436)Instructions burned: 8 (million)
% 0.46/0.69  % (31440)Refutation not found, incomplete strategy% (31440)------------------------------
% 0.46/0.69  % (31440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (31440)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.69  
% 0.46/0.69  % (31440)Memory used [KB]: 1026
% 0.46/0.69  % (31440)Time elapsed: 0.003 s
% 0.46/0.69  % (31440)Instructions burned: 5 (million)
% 0.46/0.69  % (31436)------------------------------
% 0.46/0.69  % (31436)------------------------------
% 0.46/0.69  % (31441)Refutation not found, incomplete strategy% (31441)------------------------------
% 0.46/0.69  % (31441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (31441)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.69  
% 0.46/0.69  % (31441)Memory used [KB]: 1105
% 0.46/0.69  % (31441)Time elapsed: 0.003 s
% 0.46/0.69  % (31440)------------------------------
% 0.46/0.69  % (31440)------------------------------
% 0.46/0.69  % (31441)Instructions burned: 5 (million)
% 0.46/0.69  % (31441)------------------------------
% 0.46/0.69  % (31441)------------------------------
% 0.46/0.69  % (31445)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)
% 0.46/0.69  % (31444)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)
% 0.46/0.69  % (31430)Instruction limit reached!
% 0.46/0.69  % (31430)------------------------------
% 0.46/0.69  % (31430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (31430)Termination reason: Unknown
% 0.46/0.69  % (31430)Termination phase: Saturation
% 0.46/0.69  
% 0.46/0.69  % (31430)Memory used [KB]: 1559
% 0.46/0.69  % (31430)Time elapsed: 0.021 s
% 0.46/0.69  % (31430)Instructions burned: 45 (million)
% 0.46/0.69  % (31430)------------------------------
% 0.46/0.69  % (31430)------------------------------
% 0.46/0.69  % (31445)Refutation not found, incomplete strategy% (31445)------------------------------
% 0.46/0.69  % (31445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (31445)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.69  
% 0.46/0.69  % (31445)Memory used [KB]: 1100
% 0.46/0.69  % (31445)Time elapsed: 0.005 s
% 0.46/0.69  % (31445)Instructions burned: 9 (million)
% 0.46/0.69  % (31446)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)
% 0.46/0.69  % (31445)------------------------------
% 0.46/0.69  % (31445)------------------------------
% 0.46/0.70  % (31426)Instruction limit reached!
% 0.46/0.70  % (31426)------------------------------
% 0.46/0.70  % (31426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70  % (31426)Termination reason: Unknown
% 0.46/0.70  % (31426)Termination phase: Saturation
% 0.46/0.70  
% 0.46/0.70  % (31426)Memory used [KB]: 1790
% 0.46/0.70  % (31426)Time elapsed: 0.026 s
% 0.46/0.70  % (31426)Instructions burned: 52 (million)
% 0.46/0.70  % (31426)------------------------------
% 0.46/0.70  % (31426)------------------------------
% 0.46/0.70  % (31446)Refutation not found, incomplete strategy% (31446)------------------------------
% 0.46/0.70  % (31446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70  % (31446)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.70  
% 0.46/0.70  % (31446)Memory used [KB]: 1116
% 0.46/0.70  % (31446)Time elapsed: 0.005 s
% 0.46/0.70  % (31446)Instructions burned: 6 (million)
% 0.46/0.70  % (31447)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)
% 0.46/0.70  % (31446)------------------------------
% 0.46/0.70  % (31446)------------------------------
% 0.46/0.70  % (31448)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)
% 0.46/0.70  % (31443)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)
% 0.46/0.70  % (31443)Refutation not found, incomplete strategy% (31443)------------------------------
% 0.46/0.70  % (31443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70  % (31443)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.70  
% 0.46/0.70  % (31443)Memory used [KB]: 1024
% 0.46/0.70  % (31443)Time elapsed: 0.028 s
% 0.46/0.70  % (31443)Instructions burned: 4 (million)
% 0.46/0.70  % (31448)Refutation not found, incomplete strategy% (31448)------------------------------
% 0.46/0.70  % (31448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70  % (31448)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.70  
% 0.46/0.70  % (31448)Memory used [KB]: 1095
% 0.46/0.70  % (31448)Time elapsed: 0.003 s
% 0.46/0.70  % (31448)Instructions burned: 5 (million)
% 0.46/0.70  % (31443)------------------------------
% 0.46/0.70  % (31443)------------------------------
% 0.46/0.70  % (31448)------------------------------
% 0.46/0.70  % (31448)------------------------------
% 0.46/0.70  % (31444)Instruction limit reached!
% 0.46/0.70  % (31444)------------------------------
% 0.46/0.70  % (31444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70  % (31444)Termination reason: Unknown
% 0.46/0.70  % (31444)Termination phase: Saturation
% 0.46/0.70  
% 0.46/0.70  % (31444)Memory used [KB]: 1389
% 0.46/0.70  % (31444)Time elapsed: 0.015 s
% 0.46/0.70  % (31444)Instructions burned: 34 (million)
% 0.46/0.70  % (31444)------------------------------
% 0.46/0.70  % (31444)------------------------------
% 0.46/0.71  % (31451)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)
% 0.46/0.71  % (31450)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)
% 0.46/0.71  % (31452)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)
% 0.65/0.72  % (31447)Instruction limit reached!
% 0.65/0.72  % (31447)------------------------------
% 0.65/0.72  % (31447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.72  % (31447)Termination reason: Unknown
% 0.65/0.72  % (31447)Termination phase: Saturation
% 0.65/0.72  
% 0.65/0.72  % (31447)Memory used [KB]: 1175
% 0.65/0.72  % (31447)Time elapsed: 0.044 s
% 0.65/0.72  % (31447)Instructions burned: 55 (million)
% 0.65/0.72  % (31447)------------------------------
% 0.65/0.72  % (31447)------------------------------
% 0.65/0.72  % (31450)Instruction limit reached!
% 0.65/0.72  % (31450)------------------------------
% 0.65/0.72  % (31450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.72  % (31450)Termination reason: Unknown
% 0.65/0.72  % (31450)Termination phase: Saturation
% 0.65/0.72  
% 0.65/0.72  % (31450)Memory used [KB]: 1217
% 0.65/0.72  % (31450)Time elapsed: 0.039 s
% 0.65/0.72  % (31450)Instructions burned: 35 (million)
% 0.65/0.72  % (31450)------------------------------
% 0.65/0.72  % (31450)------------------------------
% 0.65/0.72  % (31453)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2996ds/161Mi)
% 0.65/0.72  % (31449)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)
% 0.65/0.72  % (31454)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2996ds/69Mi)
% 0.65/0.72  % (31453)Refutation not found, incomplete strategy% (31453)------------------------------
% 0.65/0.72  % (31453)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.72  % (31453)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.73  
% 0.65/0.73  % (31453)Memory used [KB]: 1000
% 0.65/0.73  % (31453)Time elapsed: 0.004 s
% 0.65/0.73  % (31453)Instructions burned: 5 (million)
% 0.65/0.73  % (31452)First to succeed.
% 0.65/0.73  % (31453)------------------------------
% 0.65/0.73  % (31453)------------------------------
% 0.65/0.73  % (31442)Instruction limit reached!
% 0.65/0.73  % (31442)------------------------------
% 0.65/0.73  % (31442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.73  % (31442)Termination reason: Unknown
% 0.65/0.73  % (31442)Termination phase: Saturation
% 0.65/0.73  
% 0.65/0.73  % (31442)Memory used [KB]: 2257
% 0.65/0.73  % (31442)Time elapsed: 0.041 s
% 0.65/0.73  % (31442)Instructions burned: 93 (million)
% 0.65/0.73  % (31442)------------------------------
% 0.65/0.73  % (31442)------------------------------
% 0.65/0.73  % (31454)Refutation not found, incomplete strategy% (31454)------------------------------
% 0.65/0.73  % (31454)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.73  % (31454)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.73  
% 0.65/0.73  % (31454)Memory used [KB]: 1111
% 0.65/0.73  % (31454)Time elapsed: 0.004 s
% 0.65/0.73  % (31454)Instructions burned: 5 (million)
% 0.65/0.73  % (31454)------------------------------
% 0.65/0.73  % (31454)------------------------------
% 0.65/0.73  % (31452)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31424"
% 0.65/0.73  % (31452)Refutation found. Thanks to Tanya!
% 0.65/0.73  % SZS status Unsatisfiable for Vampire---4
% 0.65/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.73  % (31452)------------------------------
% 0.65/0.73  % (31452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.73  % (31452)Termination reason: Refutation
% 0.65/0.73  
% 0.65/0.73  % (31452)Memory used [KB]: 1431
% 0.65/0.73  % (31452)Time elapsed: 0.044 s
% 0.65/0.73  % (31452)Instructions burned: 44 (million)
% 0.65/0.73  % (31424)Success in time 0.397 s
% 0.65/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------