TSTP Solution File: GRP387-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 05:47:39 EDT 2024

% Result   : Unsatisfiable 0.61s 0.66s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  102
% Syntax   : Number of formulae    :  269 (  12 unt;   0 def)
%            Number of atoms       :  770 ( 387 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  940 ( 439   ~; 454   |;   0   &)
%                                         (  47 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   51 (  49 usr;  48 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1179,plain,
    $false,
    inference(avatar_sat_refutation,[],[f49,f54,f59,f64,f69,f74,f79,f80,f81,f83,f84,f89,f90,f91,f92,f93,f94,f99,f100,f101,f102,f103,f109,f110,f113,f119,f124,f145,f147,f149,f159,f164,f165,f173,f182,f254,f259,f264,f266,f270,f281,f307,f356,f362,f364,f419,f448,f486,f549,f558,f602,f676,f714,f742,f744,f750,f755,f765,f773,f789,f792,f812,f818,f819,f820,f826,f830,f833,f836,f837,f853,f861,f909,f910,f911,f912,f918,f933,f934,f937,f938,f958,f961,f1085,f1103,f1134,f1144,f1156,f1178]) ).

fof(f1178,plain,
    ( spl2_21
    | ~ spl2_8
    | ~ spl2_66 ),
    inference(avatar_split_clause,[],[f1177,f747,f76,f156]) ).

fof(f156,plain,
    ( spl2_21
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f76,plain,
    ( spl2_8
  <=> sk_c7 = multiply(sk_c6,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f747,plain,
    ( spl2_66
  <=> sk_c6 = multiply(sk_c6,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_66])]) ).

fof(f1177,plain,
    ( sk_c7 = sk_c6
    | ~ spl2_8
    | ~ spl2_66 ),
    inference(forward_demodulation,[],[f749,f78]) ).

fof(f78,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f749,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl2_66 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f1156,plain,
    ( ~ spl2_24
    | ~ spl2_22
    | ~ spl2_10
    | ~ spl2_19
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f1155,f1100,f143,f96,f170,f179]) ).

fof(f179,plain,
    ( spl2_24
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f170,plain,
    ( spl2_22
  <=> sk_c7 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f96,plain,
    ( spl2_10
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f143,plain,
    ( spl2_19
  <=> ! [X6] :
        ( sk_c5 != multiply(X6,sk_c7)
        | sk_c5 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f1100,plain,
    ( spl2_86
  <=> sk_c6 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_86])]) ).

fof(f1155,plain,
    ( sk_c7 != sk_c5
    | sk_c6 != sk_c5
    | ~ spl2_10
    | ~ spl2_19
    | ~ spl2_86 ),
    inference(forward_demodulation,[],[f1130,f98]) ).

fof(f98,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f1130,plain,
    ( sk_c6 != sk_c5
    | sk_c5 != inverse(sk_c1)
    | ~ spl2_19
    | ~ spl2_86 ),
    inference(superposition,[],[f144,f1102]) ).

fof(f1102,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl2_86 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f144,plain,
    ( ! [X6] :
        ( sk_c5 != multiply(X6,sk_c7)
        | sk_c5 != inverse(X6) )
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f1144,plain,
    ( identity != multiply(sk_c6,sk_c7)
    | inverse(sk_c7) != sk_c6
    | sk_c4 != multiply(inverse(sk_c5),identity)
    | sk_c6 != multiply(sk_c7,sk_c5)
    | sk_c7 != sk_c6
    | sk_c7 != sk_c5
    | sk_c5 = multiply(sk_c4,sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1134,plain,
    ( spl2_41
    | ~ spl2_10
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f1133,f1100,f96,f345]) ).

fof(f345,plain,
    ( spl2_41
  <=> sk_c7 = multiply(sk_c7,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).

fof(f1133,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl2_10
    | ~ spl2_86 ),
    inference(forward_demodulation,[],[f1131,f98]) ).

fof(f1131,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c6)
    | ~ spl2_86 ),
    inference(superposition,[],[f240,f1102]) ).

fof(f240,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f228,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',left_identity) ).

fof(f228,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/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',associativity) ).

fof(f1103,plain,
    ( spl2_86
    | ~ spl2_8
    | ~ spl2_9
    | ~ spl2_11 ),
    inference(avatar_split_clause,[],[f1098,f106,f86,f76,f1100]) ).

fof(f86,plain,
    ( spl2_9
  <=> sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f106,plain,
    ( spl2_11
  <=> sk_c7 = multiply(sk_c1,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f1098,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl2_8
    | ~ spl2_9
    | ~ spl2_11 ),
    inference(forward_demodulation,[],[f1089,f88]) ).

fof(f88,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f1089,plain,
    ( multiply(sk_c7,sk_c5) = multiply(sk_c1,sk_c7)
    | ~ spl2_8
    | ~ spl2_11 ),
    inference(superposition,[],[f990,f78]) ).

fof(f990,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl2_11 ),
    inference(superposition,[],[f3,f108]) ).

fof(f108,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f1085,plain,
    ( spl2_34
    | ~ spl2_1
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f1084,f192,f42,f261]) ).

fof(f261,plain,
    ( spl2_34
  <=> sk_c1 = multiply(sk_c6,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).

fof(f42,plain,
    ( spl2_1
  <=> inverse(sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f192,plain,
    ( spl2_26
  <=> identity = multiply(sk_c7,sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f1084,plain,
    ( sk_c1 = multiply(sk_c6,identity)
    | ~ spl2_1
    | ~ spl2_26 ),
    inference(forward_demodulation,[],[f1077,f44]) ).

fof(f44,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f1077,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl2_26 ),
    inference(superposition,[],[f240,f194]) ).

fof(f194,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f961,plain,
    ( spl2_26
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f960,f96,f192]) ).

fof(f960,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl2_10 ),
    inference(superposition,[],[f2,f98]) ).

fof(f958,plain,
    ( spl2_25
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f957,f42,f187]) ).

fof(f187,plain,
    ( spl2_25
  <=> identity = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).

fof(f957,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl2_1 ),
    inference(superposition,[],[f2,f44]) ).

fof(f938,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | sk_c7 != multiply(sk_c6,sk_c5)
    | sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c7 = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f937,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c6 = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f934,plain,
    ( sk_c7 != multiply(sk_c6,sk_c5)
    | sk_c5 != multiply(sk_c6,sk_c6)
    | identity != multiply(sk_c6,sk_c7)
    | sk_c6 != multiply(sk_c6,sk_c6)
    | identity = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f933,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | sk_c5 != multiply(sk_c6,sk_c6)
    | identity != multiply(sk_c6,sk_c7)
    | sk_c7 != multiply(sk_c6,sk_c5)
    | identity = sk_c7 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f918,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c6 != multiply(sk_c6,sk_c6)
    | sk_c6 = multiply(sk_c6,sk_c5) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f912,plain,
    ( inverse(sk_c7) != sk_c6
    | sk_c1 != multiply(sk_c6,identity)
    | identity != multiply(sk_c6,sk_c7)
    | identity != sk_c7
    | sk_c7 != inverse(sk_c1)
    | sk_c7 = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f911,plain,
    ( sk_c1 != multiply(sk_c6,identity)
    | identity != multiply(sk_c6,sk_c7)
    | identity != sk_c7
    | inverse(sk_c7) != sk_c6
    | sk_c7 != inverse(sk_c1)
    | sk_c7 = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f910,plain,
    ( sk_c1 != multiply(sk_c6,identity)
    | inverse(sk_c7) != sk_c6
    | sk_c7 != inverse(sk_c1)
    | sk_c5 != multiply(sk_c6,sk_c6)
    | identity != multiply(sk_c6,sk_c7)
    | identity != sk_c7
    | sk_c7 = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f909,plain,
    ( sk_c1 != multiply(sk_c6,identity)
    | sk_c5 != multiply(sk_c6,sk_c6)
    | inverse(sk_c7) != sk_c6
    | identity != multiply(sk_c6,sk_c7)
    | identity != sk_c7
    | sk_c7 != inverse(sk_c1)
    | sk_c6 = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f861,plain,
    ( sk_c1 != multiply(sk_c6,identity)
    | sk_c7 != sk_c5
    | identity != multiply(sk_c6,sk_c7)
    | sk_c7 != multiply(sk_c6,sk_c5)
    | sk_c7 != inverse(sk_c1)
    | sk_c7 = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f853,plain,
    ( sk_c7 != sk_c5
    | sk_c1 != multiply(sk_c6,identity)
    | sk_c7 != inverse(sk_c1)
    | identity != multiply(sk_c6,sk_c7)
    | sk_c7 != multiply(sk_c6,sk_c5)
    | identity = inverse(sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f837,plain,
    ( sk_c5 != multiply(inverse(sk_c5),sk_c7)
    | sk_c4 != multiply(inverse(sk_c5),identity)
    | sk_c2 != multiply(inverse(sk_c7),identity)
    | sk_c7 != multiply(sk_c3,sk_c6)
    | multiply(sk_c3,sk_c6) != sk_c5
    | identity != sk_c5
    | sk_c6 != multiply(sk_c6,sk_c5)
    | multiply(sk_c6,identity) != multiply(sk_c2,identity)
    | sk_c5 != multiply(sk_c4,sk_c7)
    | sk_c5 != inverse(sk_c4)
    | inverse(sk_c7) = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f836,plain,
    ( sk_c4 != multiply(inverse(sk_c5),identity)
    | sk_c2 != multiply(inverse(sk_c7),identity)
    | identity != sk_c5
    | multiply(sk_c6,identity) != multiply(sk_c2,identity)
    | sk_c7 != multiply(sk_c3,sk_c6)
    | sk_c5 != multiply(sk_c4,sk_c7)
    | multiply(sk_c3,sk_c6) != sk_c5
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f833,plain,
    ( sk_c4 != multiply(inverse(sk_c5),identity)
    | sk_c2 != multiply(inverse(sk_c7),identity)
    | identity != sk_c5
    | sk_c6 != multiply(sk_c6,sk_c5)
    | multiply(sk_c6,identity) != multiply(sk_c2,identity)
    | sk_c7 != multiply(sk_c3,sk_c6)
    | sk_c5 != multiply(sk_c4,sk_c7)
    | multiply(sk_c3,sk_c6) != sk_c5
    | sk_c7 = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f830,plain,
    ( sk_c4 != multiply(inverse(sk_c5),identity)
    | sk_c2 != multiply(inverse(sk_c7),identity)
    | sk_c6 != multiply(sk_c6,sk_c5)
    | multiply(sk_c6,identity) != multiply(sk_c2,identity)
    | sk_c5 != multiply(sk_c4,sk_c7)
    | sk_c7 != multiply(sk_c5,sk_c5)
    | sk_c7 != multiply(sk_c3,sk_c6)
    | multiply(sk_c3,sk_c6) != sk_c5
    | identity != sk_c5
    | identity = multiply(sk_c6,sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f826,plain,
    ( sk_c4 != multiply(inverse(sk_c5),identity)
    | sk_c5 != multiply(inverse(sk_c5),sk_c7)
    | sk_c7 != multiply(sk_c3,sk_c6)
    | multiply(sk_c3,sk_c6) != sk_c5
    | sk_c5 != inverse(sk_c4)
    | identity != sk_c5
    | identity = inverse(sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f820,plain,
    ( sk_c7 != multiply(sk_c3,sk_c6)
    | multiply(sk_c3,sk_c6) != sk_c5
    | sk_c2 != multiply(inverse(sk_c7),identity)
    | sk_c5 != multiply(inverse(sk_c5),sk_c7)
    | identity != sk_c5
    | identity = sk_c2 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f819,plain,
    ( sk_c7 != multiply(sk_c3,sk_c6)
    | multiply(sk_c3,sk_c6) != sk_c5
    | identity != sk_c5
    | sk_c7 != multiply(sk_c5,sk_c5)
    | sk_c7 = multiply(sk_c7,identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f818,plain,
    ( sk_c7 != multiply(sk_c5,sk_c5)
    | sk_c7 != multiply(sk_c3,sk_c6)
    | multiply(sk_c3,sk_c6) != sk_c5
    | identity != sk_c5
    | identity = multiply(sk_c7,identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f812,plain,
    ( sk_c7 != inverse(sk_c2)
    | sk_c7 != inverse(inverse(sk_c6))
    | sk_c7 != multiply(sk_c7,sk_c6)
    | identity != multiply(sk_c7,sk_c2)
    | identity != sk_c5
    | sk_c6 != multiply(sk_c6,sk_c5)
    | sk_c2 != multiply(sk_c6,identity)
    | sk_c2 != multiply(inverse(sk_c7),identity)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f792,plain,
    ( spl2_28
    | ~ spl2_66 ),
    inference(avatar_contradiction_clause,[],[f791]) ).

fof(f791,plain,
    ( $false
    | spl2_28
    | ~ spl2_66 ),
    inference(subsumption_resolution,[],[f790,f203]) ).

fof(f203,plain,
    ( identity != sk_c5
    | spl2_28 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f201,plain,
    ( spl2_28
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).

fof(f790,plain,
    ( identity = sk_c5
    | ~ spl2_66 ),
    inference(forward_demodulation,[],[f777,f2]) ).

fof(f777,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl2_66 ),
    inference(superposition,[],[f240,f749]) ).

fof(f789,plain,
    ( spl2_72
    | ~ spl2_4
    | ~ spl2_65
    | ~ spl2_66 ),
    inference(avatar_split_clause,[],[f784,f747,f739,f56,f786]) ).

fof(f786,plain,
    ( spl2_72
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_72])]) ).

fof(f56,plain,
    ( spl2_4
  <=> multiply(sk_c3,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f739,plain,
    ( spl2_65
  <=> sk_c7 = multiply(sk_c5,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_65])]) ).

fof(f784,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl2_4
    | ~ spl2_65
    | ~ spl2_66 ),
    inference(forward_demodulation,[],[f776,f741]) ).

fof(f741,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | ~ spl2_65 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f776,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c5,sk_c5)
    | ~ spl2_4
    | ~ spl2_66 ),
    inference(superposition,[],[f234,f749]) ).

fof(f234,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl2_4 ),
    inference(superposition,[],[f3,f58]) ).

fof(f58,plain,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f773,plain,
    ( spl2_70
    | ~ spl2_65 ),
    inference(avatar_split_clause,[],[f767,f739,f770]) ).

fof(f770,plain,
    ( spl2_70
  <=> sk_c5 = multiply(inverse(sk_c5),sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_70])]) ).

fof(f767,plain,
    ( sk_c5 = multiply(inverse(sk_c5),sk_c7)
    | ~ spl2_65 ),
    inference(superposition,[],[f240,f741]) ).

fof(f765,plain,
    ( spl2_69
    | ~ spl2_31 ),
    inference(avatar_split_clause,[],[f732,f219,f762]) ).

fof(f762,plain,
    ( spl2_69
  <=> sk_c4 = multiply(inverse(sk_c5),identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_69])]) ).

fof(f219,plain,
    ( spl2_31
  <=> identity = multiply(sk_c5,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f732,plain,
    ( sk_c4 = multiply(inverse(sk_c5),identity)
    | ~ spl2_31 ),
    inference(superposition,[],[f240,f221]) ).

fof(f221,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl2_31 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f755,plain,
    ( spl2_67
    | ~ spl2_29 ),
    inference(avatar_split_clause,[],[f730,f207,f752]) ).

fof(f752,plain,
    ( spl2_67
  <=> sk_c2 = multiply(inverse(sk_c7),identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_67])]) ).

fof(f207,plain,
    ( spl2_29
  <=> identity = multiply(sk_c7,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).

fof(f730,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl2_29 ),
    inference(superposition,[],[f240,f209]) ).

fof(f209,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl2_29 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f750,plain,
    ( spl2_66
    | ~ spl2_4
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f745,f61,f56,f747]) ).

fof(f61,plain,
    ( spl2_5
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f745,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl2_4
    | ~ spl2_5 ),
    inference(forward_demodulation,[],[f729,f63]) ).

fof(f63,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f729,plain,
    ( sk_c6 = multiply(inverse(sk_c3),sk_c5)
    | ~ spl2_4 ),
    inference(superposition,[],[f240,f58]) ).

fof(f744,plain,
    ( spl2_41
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f743,f51,f46,f345]) ).

fof(f46,plain,
    ( spl2_2
  <=> sk_c6 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f51,plain,
    ( spl2_3
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f743,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(forward_demodulation,[],[f728,f53]) ).

fof(f53,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f728,plain,
    ( sk_c7 = multiply(inverse(sk_c2),sk_c6)
    | ~ spl2_2 ),
    inference(superposition,[],[f240,f48]) ).

fof(f48,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f742,plain,
    ( spl2_65
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f737,f71,f66,f739]) ).

fof(f66,plain,
    ( spl2_6
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f71,plain,
    ( spl2_7
  <=> sk_c5 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f737,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f727,f68]) ).

fof(f68,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f727,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c5)
    | ~ spl2_7 ),
    inference(superposition,[],[f240,f73]) ).

fof(f73,plain,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f714,plain,
    ( spl2_40
    | ~ spl2_2
    | ~ spl2_29 ),
    inference(avatar_split_clause,[],[f711,f207,f46,f333]) ).

fof(f333,plain,
    ( spl2_40
  <=> multiply(sk_c6,sk_c2) = multiply(sk_c2,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).

fof(f711,plain,
    ( multiply(sk_c6,sk_c2) = multiply(sk_c2,identity)
    | ~ spl2_2
    | ~ spl2_29 ),
    inference(superposition,[],[f230,f209]) ).

fof(f230,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | ~ spl2_2 ),
    inference(superposition,[],[f3,f48]) ).

fof(f676,plain,
    ( spl2_63
    | ~ spl2_2
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f665,f568,f46,f673]) ).

fof(f673,plain,
    ( spl2_63
  <=> multiply(sk_c6,identity) = multiply(sk_c2,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_63])]) ).

fof(f568,plain,
    ( spl2_53
  <=> identity = multiply(sk_c7,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_53])]) ).

fof(f665,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c2,identity)
    | ~ spl2_2
    | ~ spl2_53 ),
    inference(superposition,[],[f230,f570]) ).

fof(f570,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl2_53 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f602,plain,
    ( spl2_29
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f601,f51,f207]) ).

fof(f601,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl2_3 ),
    inference(superposition,[],[f2,f53]) ).

fof(f558,plain,
    ( ~ spl2_36
    | spl2_1
    | ~ spl2_43 ),
    inference(avatar_split_clause,[],[f556,f384,f42,f288]) ).

fof(f288,plain,
    ( spl2_36
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).

fof(f384,plain,
    ( spl2_43
  <=> identity = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).

fof(f556,plain,
    ( identity != sk_c6
    | spl2_1
    | ~ spl2_43 ),
    inference(backward_demodulation,[],[f43,f386]) ).

fof(f386,plain,
    ( identity = inverse(sk_c7)
    | ~ spl2_43 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f43,plain,
    ( inverse(sk_c7) != sk_c6
    | spl2_1 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f549,plain,
    ( sk_c7 != multiply(sk_c7,identity)
    | identity != multiply(sk_c7,sk_c2)
    | multiply(sk_c6,sk_c2) != multiply(sk_c2,identity)
    | sk_c2 != multiply(sk_c6,identity)
    | identity != sk_c2
    | identity = multiply(sk_c2,sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f486,plain,
    ( sk_c2 != multiply(sk_c6,identity)
    | sk_c6 != multiply(sk_c6,sk_c6)
    | identity != multiply(sk_c2,sk_c7)
    | sk_c6 != multiply(sk_c2,sk_c7)
    | sk_c7 != multiply(sk_c7,sk_c6)
    | identity != multiply(sk_c7,sk_c2)
    | identity != inverse(sk_c7)
    | sk_c7 = inverse(inverse(sk_c6)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f448,plain,
    ( identity != sk_c6
    | identity != sk_c7
    | sk_c7 != inverse(identity)
    | sk_c6 = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f419,plain,
    ( spl2_39
    | ~ spl2_25
    | ~ spl2_36 ),
    inference(avatar_split_clause,[],[f418,f288,f187,f326]) ).

fof(f326,plain,
    ( spl2_39
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).

fof(f418,plain,
    ( identity = sk_c7
    | ~ spl2_25
    | ~ spl2_36 ),
    inference(forward_demodulation,[],[f377,f1]) ).

fof(f377,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl2_25
    | ~ spl2_36 ),
    inference(backward_demodulation,[],[f189,f289]) ).

fof(f289,plain,
    ( identity = sk_c6
    | ~ spl2_36 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f189,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl2_25 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f364,plain,
    ( spl2_36
    | ~ spl2_25
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f363,f345,f187,f288]) ).

fof(f363,plain,
    ( identity = sk_c6
    | ~ spl2_25
    | ~ spl2_41 ),
    inference(forward_demodulation,[],[f352,f189]) ).

fof(f352,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl2_25
    | ~ spl2_41 ),
    inference(superposition,[],[f243,f347]) ).

fof(f347,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl2_41 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f243,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl2_25 ),
    inference(forward_demodulation,[],[f232,f1]) ).

fof(f232,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl2_25 ),
    inference(superposition,[],[f3,f189]) ).

fof(f362,plain,
    ( spl2_42
    | ~ spl2_2
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f357,f345,f46,f359]) ).

fof(f359,plain,
    ( spl2_42
  <=> sk_c6 = multiply(sk_c6,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).

fof(f357,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl2_2
    | ~ spl2_41 ),
    inference(forward_demodulation,[],[f351,f48]) ).

fof(f351,plain,
    ( multiply(sk_c2,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl2_2
    | ~ spl2_41 ),
    inference(superposition,[],[f230,f347]) ).

fof(f356,plain,
    ( ~ spl2_21
    | ~ spl2_1
    | ~ spl2_16
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f355,f345,f134,f42,f156]) ).

fof(f134,plain,
    ( spl2_16
  <=> ! [X3] :
        ( sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f355,plain,
    ( sk_c7 != sk_c6
    | ~ spl2_1
    | ~ spl2_16
    | ~ spl2_41 ),
    inference(forward_demodulation,[],[f354,f44]) ).

fof(f354,plain,
    ( sk_c7 != inverse(sk_c7)
    | ~ spl2_16
    | ~ spl2_41 ),
    inference(trivial_inequality_removal,[],[f350]) ).

fof(f350,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c7)
    | ~ spl2_16
    | ~ spl2_41 ),
    inference(superposition,[],[f135,f347]) ).

fof(f135,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != inverse(X3) )
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f307,plain,
    ( ~ spl2_6
    | ~ spl2_7
    | ~ spl2_19 ),
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | ~ spl2_6
    | ~ spl2_7
    | ~ spl2_19 ),
    inference(subsumption_resolution,[],[f304,f68]) ).

fof(f304,plain,
    ( sk_c5 != inverse(sk_c4)
    | ~ spl2_7
    | ~ spl2_19 ),
    inference(trivial_inequality_removal,[],[f299]) ).

fof(f299,plain,
    ( sk_c5 != sk_c5
    | sk_c5 != inverse(sk_c4)
    | ~ spl2_7
    | ~ spl2_19 ),
    inference(superposition,[],[f144,f73]) ).

fof(f281,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | ~ spl2_17 ),
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_17 ),
    inference(subsumption_resolution,[],[f279,f53]) ).

fof(f279,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl2_2
    | ~ spl2_17 ),
    inference(trivial_inequality_removal,[],[f273]) ).

fof(f273,plain,
    ( sk_c6 != sk_c6
    | sk_c7 != inverse(sk_c2)
    | ~ spl2_2
    | ~ spl2_17 ),
    inference(superposition,[],[f138,f48]) ).

fof(f138,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl2_17
  <=> ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f270,plain,
    ( spl2_31
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f269,f66,f219]) ).

fof(f269,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl2_6 ),
    inference(superposition,[],[f2,f68]) ).

fof(f266,plain,
    ( ~ spl2_5
    | ~ spl2_4
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f226,f140,f56,f61]) ).

fof(f140,plain,
    ( spl2_18
  <=> ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c5 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f226,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl2_4
    | ~ spl2_18 ),
    inference(trivial_inequality_removal,[],[f225]) ).

fof(f225,plain,
    ( sk_c5 != sk_c5
    | sk_c6 != inverse(sk_c3)
    | ~ spl2_4
    | ~ spl2_18 ),
    inference(superposition,[],[f141,f58]) ).

fof(f141,plain,
    ( ! [X5] :
        ( sk_c5 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl2_18 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f264,plain,
    ( spl2_34
    | ~ spl2_25
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f248,f192,f187,f261]) ).

fof(f248,plain,
    ( sk_c1 = multiply(sk_c6,identity)
    | ~ spl2_25
    | ~ spl2_26 ),
    inference(superposition,[],[f243,f194]) ).

fof(f259,plain,
    ( spl2_33
    | ~ spl2_9
    | ~ spl2_25 ),
    inference(avatar_split_clause,[],[f247,f187,f86,f256]) ).

fof(f256,plain,
    ( spl2_33
  <=> sk_c5 = multiply(sk_c6,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).

fof(f247,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl2_9
    | ~ spl2_25 ),
    inference(superposition,[],[f243,f88]) ).

fof(f254,plain,
    ( spl2_32
    | ~ spl2_25
    | ~ spl2_29 ),
    inference(avatar_split_clause,[],[f246,f207,f187,f251]) ).

fof(f251,plain,
    ( spl2_32
  <=> sk_c2 = multiply(sk_c6,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f246,plain,
    ( sk_c2 = multiply(sk_c6,identity)
    | ~ spl2_25
    | ~ spl2_29 ),
    inference(superposition,[],[f243,f209]) ).

fof(f182,plain,
    ( ~ spl2_23
    | ~ spl2_24
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f167,f140,f179,f175]) ).

fof(f175,plain,
    ( spl2_23
  <=> sk_c6 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f167,plain,
    ( sk_c6 != sk_c5
    | sk_c6 != inverse(identity)
    | ~ spl2_18 ),
    inference(superposition,[],[f141,f1]) ).

fof(f173,plain,
    ( ~ spl2_22
    | ~ spl2_21
    | ~ spl2_10
    | ~ spl2_11
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f168,f140,f106,f96,f156,f170]) ).

fof(f168,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != sk_c5
    | ~ spl2_10
    | ~ spl2_11
    | ~ spl2_18 ),
    inference(forward_demodulation,[],[f166,f98]) ).

fof(f166,plain,
    ( sk_c7 != sk_c5
    | sk_c6 != inverse(sk_c1)
    | ~ spl2_11
    | ~ spl2_18 ),
    inference(superposition,[],[f141,f108]) ).

fof(f165,plain,
    ( ~ spl2_20
    | ~ spl2_21
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f161,f134,f156,f152]) ).

fof(f152,plain,
    ( spl2_20
  <=> sk_c7 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f161,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(identity)
    | ~ spl2_16 ),
    inference(superposition,[],[f135,f1]) ).

fof(f164,plain,
    ( ~ spl2_10
    | ~ spl2_11
    | ~ spl2_16 ),
    inference(avatar_contradiction_clause,[],[f163]) ).

fof(f163,plain,
    ( $false
    | ~ spl2_10
    | ~ spl2_11
    | ~ spl2_16 ),
    inference(subsumption_resolution,[],[f162,f98]) ).

fof(f162,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl2_11
    | ~ spl2_16 ),
    inference(trivial_inequality_removal,[],[f160]) ).

fof(f160,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c1)
    | ~ spl2_11
    | ~ spl2_16 ),
    inference(superposition,[],[f135,f108]) ).

fof(f159,plain,
    ( ~ spl2_20
    | ~ spl2_21
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f150,f137,f156,f152]) ).

fof(f150,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(identity)
    | ~ spl2_17 ),
    inference(superposition,[],[f138,f1]) ).

fof(f149,plain,
    ( spl2_15
    | ~ spl2_9
    | ~ spl2_13 ),
    inference(avatar_split_clause,[],[f148,f121,f86,f130]) ).

fof(f130,plain,
    ( spl2_15
  <=> sP0(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f121,plain,
    ( spl2_13
  <=> sP0(multiply(sk_c7,sk_c5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f148,plain,
    ( sP0(sk_c6)
    | ~ spl2_9
    | ~ spl2_13 ),
    inference(backward_demodulation,[],[f123,f88]) ).

fof(f123,plain,
    ( sP0(multiply(sk_c7,sk_c5))
    | ~ spl2_13 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f147,plain,
    ( spl2_14
    | ~ spl2_8
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f146,f116,f76,f126]) ).

fof(f126,plain,
    ( spl2_14
  <=> sP1(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f116,plain,
    ( spl2_12
  <=> sP1(multiply(sk_c6,sk_c5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f146,plain,
    ( sP1(sk_c7)
    | ~ spl2_8
    | ~ spl2_12 ),
    inference(backward_demodulation,[],[f118,f78]) ).

fof(f118,plain,
    ( sP1(multiply(sk_c6,sk_c5))
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f145,plain,
    ( ~ spl2_1
    | ~ spl2_14
    | ~ spl2_15
    | spl2_16
    | spl2_17
    | spl2_18
    | spl2_19 ),
    inference(avatar_split_clause,[],[f40,f143,f140,f137,f134,f130,f126,f42]) ).

fof(f40,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != multiply(X6,sk_c7)
      | sk_c5 != inverse(X6)
      | sk_c6 != inverse(X5)
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != inverse(X3)
      | ~ sP0(sk_c6)
      | ~ sP1(sk_c7)
      | inverse(sk_c7) != sk_c6 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f37,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != multiply(X6,sk_c7)
      | sk_c5 != inverse(X6)
      | sk_c6 != inverse(X5)
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != inverse(X3)
      | sP0(sk_c6)
      | sP1(sk_c7)
      | inverse(sk_c7) != sk_c6 ),
    inference(inequality_splitting,[],[f34,f36,f35]) ).

fof(f35,plain,
    ~ sP0(multiply(sk_c7,sk_c5)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f36,plain,
    ~ sP1(multiply(sk_c6,sk_c5)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != multiply(X6,sk_c7)
      | sk_c5 != inverse(X6)
      | sk_c6 != inverse(X5)
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c7 != multiply(sk_c6,sk_c5)
      | inverse(sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_31) ).

fof(f124,plain,
    spl2_13,
    inference(avatar_split_clause,[],[f39,f121]) ).

fof(f39,plain,
    sP0(multiply(sk_c7,sk_c5)),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f119,plain,
    spl2_12,
    inference(avatar_split_clause,[],[f38,f116]) ).

fof(f38,plain,
    sP1(multiply(sk_c6,sk_c5)),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f113,plain,
    ( spl2_11
    | spl2_6 ),
    inference(avatar_split_clause,[],[f32,f66,f106]) ).

fof(f32,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_29) ).

fof(f110,plain,
    ( spl2_11
    | spl2_3 ),
    inference(avatar_split_clause,[],[f29,f51,f106]) ).

fof(f29,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_26) ).

fof(f109,plain,
    ( spl2_11
    | spl2_2 ),
    inference(avatar_split_clause,[],[f28,f46,f106]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_25) ).

fof(f103,plain,
    ( spl2_10
    | spl2_6 ),
    inference(avatar_split_clause,[],[f26,f66,f96]) ).

fof(f26,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_23) ).

fof(f102,plain,
    ( spl2_10
    | spl2_5 ),
    inference(avatar_split_clause,[],[f25,f61,f96]) ).

fof(f25,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_22) ).

fof(f101,plain,
    ( spl2_10
    | spl2_4 ),
    inference(avatar_split_clause,[],[f24,f56,f96]) ).

fof(f24,axiom,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_21) ).

fof(f100,plain,
    ( spl2_10
    | spl2_3 ),
    inference(avatar_split_clause,[],[f23,f51,f96]) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_20) ).

fof(f99,plain,
    ( spl2_10
    | spl2_2 ),
    inference(avatar_split_clause,[],[f22,f46,f96]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_19) ).

fof(f94,plain,
    ( spl2_9
    | spl2_7 ),
    inference(avatar_split_clause,[],[f21,f71,f86]) ).

fof(f21,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_18) ).

fof(f93,plain,
    ( spl2_9
    | spl2_6 ),
    inference(avatar_split_clause,[],[f20,f66,f86]) ).

fof(f20,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_17) ).

fof(f92,plain,
    ( spl2_9
    | spl2_5 ),
    inference(avatar_split_clause,[],[f19,f61,f86]) ).

fof(f19,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_16) ).

fof(f91,plain,
    ( spl2_9
    | spl2_4 ),
    inference(avatar_split_clause,[],[f18,f56,f86]) ).

fof(f18,axiom,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_15) ).

fof(f90,plain,
    ( spl2_9
    | spl2_3 ),
    inference(avatar_split_clause,[],[f17,f51,f86]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_14) ).

fof(f89,plain,
    ( spl2_9
    | spl2_2 ),
    inference(avatar_split_clause,[],[f16,f46,f86]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_13) ).

fof(f84,plain,
    ( spl2_8
    | spl2_7 ),
    inference(avatar_split_clause,[],[f15,f71,f76]) ).

fof(f15,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_12) ).

fof(f83,plain,
    ( spl2_8
    | spl2_6 ),
    inference(avatar_split_clause,[],[f14,f66,f76]) ).

fof(f14,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_11) ).

fof(f81,plain,
    ( spl2_8
    | spl2_4 ),
    inference(avatar_split_clause,[],[f12,f56,f76]) ).

fof(f12,axiom,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_9) ).

fof(f80,plain,
    ( spl2_8
    | spl2_3 ),
    inference(avatar_split_clause,[],[f11,f51,f76]) ).

fof(f11,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_8) ).

fof(f79,plain,
    ( spl2_8
    | spl2_2 ),
    inference(avatar_split_clause,[],[f10,f46,f76]) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_7) ).

fof(f74,plain,
    ( spl2_1
    | spl2_7 ),
    inference(avatar_split_clause,[],[f9,f71,f42]) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_6) ).

fof(f69,plain,
    ( spl2_1
    | spl2_6 ),
    inference(avatar_split_clause,[],[f8,f66,f42]) ).

fof(f8,axiom,
    ( sk_c5 = inverse(sk_c4)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_5) ).

fof(f64,plain,
    ( spl2_1
    | spl2_5 ),
    inference(avatar_split_clause,[],[f7,f61,f42]) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c3)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_4) ).

fof(f59,plain,
    ( spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f6,f56,f42]) ).

fof(f6,axiom,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_3) ).

fof(f54,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[],[f5,f51,f42]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c2)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_2) ).

fof(f49,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f4,f46,f42]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Fri May  3 20:51:08 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.33  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.QstORmw20W/Vampire---4.8_10931
% 0.42/0.60  % (11152)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 (2997ds/56Mi)
% 0.42/0.60  % (11152)Refutation not found, incomplete strategy% (11152)------------------------------
% 0.42/0.60  % (11152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.42/0.60  % (11152)Termination reason: Refutation not found, incomplete strategy
% 0.42/0.60  
% 0.42/0.60  % (11152)Memory used [KB]: 983
% 0.42/0.60  % (11152)Time elapsed: 0.002 s
% 0.42/0.60  % (11152)Instructions burned: 3 (million)
% 0.42/0.60  % (11144)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 (2997ds/34Mi)
% 0.42/0.60  % (11152)------------------------------
% 0.42/0.60  % (11152)------------------------------
% 0.42/0.60  % (11147)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.42/0.60  % (11145)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 (2997ds/51Mi)
% 0.44/0.60  % (11150)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.44/0.60  % (11151)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 (2997ds/83Mi)
% 0.44/0.60  % (11146)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.44/0.60  % (11149)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 (2997ds/34Mi)
% 0.44/0.60  % (11144)Refutation not found, incomplete strategy% (11144)------------------------------
% 0.44/0.60  % (11144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.60  % (11147)Refutation not found, incomplete strategy% (11147)------------------------------
% 0.44/0.60  % (11147)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.60  % (11147)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.60  
% 0.44/0.60  % (11147)Memory used [KB]: 981
% 0.44/0.60  % (11147)Time elapsed: 0.003 s
% 0.44/0.60  % (11147)Instructions burned: 3 (million)
% 0.44/0.60  % (11144)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.60  
% 0.44/0.60  % (11144)Memory used [KB]: 998
% 0.44/0.60  % (11144)Time elapsed: 0.003 s
% 0.44/0.60  % (11144)Instructions burned: 3 (million)
% 0.44/0.60  % (11147)------------------------------
% 0.44/0.60  % (11147)------------------------------
% 0.44/0.60  % (11149)Refutation not found, incomplete strategy% (11149)------------------------------
% 0.44/0.60  % (11149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.60  % (11149)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.60  
% 0.44/0.60  % (11149)Memory used [KB]: 998
% 0.44/0.60  % (11149)Time elapsed: 0.003 s
% 0.44/0.60  % (11149)Instructions burned: 4 (million)
% 0.44/0.60  % (11157)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 (2997ds/55Mi)
% 0.44/0.60  % (11144)------------------------------
% 0.44/0.60  % (11144)------------------------------
% 0.44/0.60  % (11150)Refutation not found, incomplete strategy% (11150)------------------------------
% 0.44/0.60  % (11150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.60  % (11150)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.60  
% 0.44/0.60  % (11150)Memory used [KB]: 986
% 0.44/0.60  % (11150)Time elapsed: 0.004 s
% 0.44/0.60  % (11150)Instructions burned: 4 (million)
% 0.44/0.60  % (11149)------------------------------
% 0.44/0.60  % (11149)------------------------------
% 0.44/0.60  % (11146)Refutation not found, incomplete strategy% (11146)------------------------------
% 0.44/0.60  % (11146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.60  % (11146)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.60  
% 0.44/0.60  % (11146)Memory used [KB]: 1052
% 0.44/0.60  % (11146)Time elapsed: 0.004 s
% 0.44/0.60  % (11146)Instructions burned: 4 (million)
% 0.44/0.60  % (11150)------------------------------
% 0.44/0.60  % (11150)------------------------------
% 0.44/0.60  % (11146)------------------------------
% 0.44/0.60  % (11146)------------------------------
% 0.44/0.60  % (11151)Refutation not found, incomplete strategy% (11151)------------------------------
% 0.44/0.60  % (11151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.60  % (11151)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.60  
% 0.44/0.60  % (11151)Memory used [KB]: 1064
% 0.44/0.60  % (11151)Time elapsed: 0.005 s
% 0.44/0.60  % (11151)Instructions burned: 6 (million)
% 0.44/0.60  % (11157)Refutation not found, incomplete strategy% (11157)------------------------------
% 0.44/0.60  % (11157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.60  % (11157)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.60  
% 0.44/0.60  % (11157)Memory used [KB]: 1054
% 0.44/0.60  % (11157)Time elapsed: 0.002 s
% 0.44/0.60  % (11157)Instructions burned: 5 (million)
% 0.44/0.60  % (11151)------------------------------
% 0.44/0.60  % (11151)------------------------------
% 0.44/0.60  % (11157)------------------------------
% 0.44/0.60  % (11157)------------------------------
% 0.44/0.60  % (11169)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 (2997ds/117Mi)
% 0.44/0.60  % (11163)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 (2997ds/208Mi)
% 0.44/0.60  % (11161)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 (2997ds/50Mi)
% 0.44/0.60  % (11164)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 (2997ds/52Mi)
% 0.44/0.60  % (11166)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 (2997ds/518Mi)
% 0.44/0.60  % (11169)Refutation not found, incomplete strategy% (11169)------------------------------
% 0.44/0.60  % (11169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.60  % (11167)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 (2997ds/42Mi)
% 0.44/0.60  % (11169)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.60  
% 0.44/0.60  % (11169)Memory used [KB]: 984
% 0.44/0.60  % (11169)Time elapsed: 0.001 s
% 0.44/0.60  % (11169)Instructions burned: 3 (million)
% 0.44/0.60  % (11169)------------------------------
% 0.44/0.60  % (11169)------------------------------
% 0.44/0.61  % (11168)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 (2997ds/243Mi)
% 0.44/0.61  % (11161)Refutation not found, incomplete strategy% (11161)------------------------------
% 0.44/0.61  % (11161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61  % (11161)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61  
% 0.44/0.61  % (11161)Memory used [KB]: 991
% 0.44/0.61  % (11161)Time elapsed: 0.004 s
% 0.44/0.61  % (11161)Instructions burned: 5 (million)
% 0.44/0.61  % (11164)Refutation not found, incomplete strategy% (11164)------------------------------
% 0.44/0.61  % (11164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61  % (11167)Refutation not found, incomplete strategy% (11167)------------------------------
% 0.44/0.61  % (11167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61  % (11167)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61  
% 0.44/0.61  % (11167)Memory used [KB]: 1005
% 0.44/0.61  % (11167)Time elapsed: 0.004 s
% 0.44/0.61  % (11167)Instructions burned: 4 (million)
% 0.44/0.61  % (11164)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61  
% 0.44/0.61  % (11164)Memory used [KB]: 988
% 0.44/0.61  % (11164)Time elapsed: 0.005 s
% 0.44/0.61  % (11161)------------------------------
% 0.44/0.61  % (11161)------------------------------
% 0.44/0.61  % (11164)Instructions burned: 4 (million)
% 0.44/0.61  % (11167)------------------------------
% 0.44/0.61  % (11167)------------------------------
% 0.44/0.61  % (11172)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 (2997ds/143Mi)
% 0.44/0.61  % (11164)------------------------------
% 0.44/0.61  % (11164)------------------------------
% 0.44/0.61  % (11172)Refutation not found, incomplete strategy% (11172)------------------------------
% 0.44/0.61  % (11172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61  % (11172)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61  
% 0.44/0.61  % (11172)Memory used [KB]: 1000
% 0.44/0.61  % (11172)Time elapsed: 0.001 s
% 0.44/0.61  % (11172)Instructions burned: 4 (million)
% 0.44/0.61  % (11172)------------------------------
% 0.44/0.61  % (11172)------------------------------
% 0.44/0.61  % (11179)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 (2997ds/1919Mi)
% 0.44/0.61  % (11175)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 (2997ds/93Mi)
% 0.44/0.61  % (11176)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 (2997ds/62Mi)
% 0.44/0.61  % (11168)Refutation not found, incomplete strategy% (11168)------------------------------
% 0.44/0.61  % (11168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61  % (11168)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61  
% 0.44/0.61  % (11168)Memory used [KB]: 1079
% 0.44/0.61  % (11168)Time elapsed: 0.007 s
% 0.44/0.61  % (11168)Instructions burned: 11 (million)
% 0.44/0.61  % (11179)Refutation not found, incomplete strategy% (11179)------------------------------
% 0.44/0.61  % (11179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61  % (11179)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61  
% 0.44/0.61  % (11179)Memory used [KB]: 1052
% 0.44/0.61  % (11179)Time elapsed: 0.002 s
% 0.44/0.61  % (11179)Instructions burned: 4 (million)
% 0.44/0.61  % (11178)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 (2997ds/32Mi)
% 0.44/0.61  % (11168)------------------------------
% 0.44/0.61  % (11168)------------------------------
% 0.44/0.61  % (11179)------------------------------
% 0.44/0.61  % (11179)------------------------------
% 0.44/0.61  % (11176)Refutation not found, incomplete strategy% (11176)------------------------------
% 0.44/0.61  % (11176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61  % (11176)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61  
% 0.44/0.61  % (11176)Memory used [KB]: 984
% 0.44/0.61  % (11176)Time elapsed: 0.004 s
% 0.44/0.61  % (11176)Instructions burned: 3 (million)
% 0.44/0.61  % (11176)------------------------------
% 0.44/0.61  % (11176)------------------------------
% 0.44/0.61  % (11181)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 (2997ds/53Mi)
% 0.44/0.61  % (11178)Refutation not found, incomplete strategy% (11178)------------------------------
% 0.44/0.61  % (11178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.61  % (11178)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.61  
% 0.44/0.61  % (11178)Memory used [KB]: 1058
% 0.44/0.61  % (11178)Time elapsed: 0.004 s
% 0.44/0.61  % (11178)Instructions burned: 4 (million)
% 0.44/0.62  % (11178)------------------------------
% 0.44/0.62  % (11178)------------------------------
% 0.44/0.62  % (11180)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 (2997ds/55Mi)
% 0.44/0.62  % (11182)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 (2997ds/46Mi)
% 0.44/0.62  % (11180)Refutation not found, incomplete strategy% (11180)------------------------------
% 0.44/0.62  % (11180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.62  % (11180)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.62  
% 0.44/0.62  % (11180)Memory used [KB]: 1001
% 0.44/0.62  % (11180)Time elapsed: 0.004 s
% 0.44/0.62  % (11180)Instructions burned: 4 (million)
% 0.44/0.62  % (11180)------------------------------
% 0.44/0.62  % (11180)------------------------------
% 0.44/0.62  % (11183)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 (2997ds/102Mi)
% 0.44/0.62  % (11182)Refutation not found, incomplete strategy% (11182)------------------------------
% 0.44/0.62  % (11182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.62  % (11182)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.62  
% 0.44/0.62  % (11182)Memory used [KB]: 996
% 0.44/0.62  % (11182)Time elapsed: 0.003 s
% 0.44/0.62  % (11182)Instructions burned: 3 (million)
% 0.44/0.62  % (11182)------------------------------
% 0.44/0.62  % (11182)------------------------------
% 0.44/0.62  % (11183)Refutation not found, incomplete strategy% (11183)------------------------------
% 0.44/0.62  % (11183)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.62  % (11183)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.62  
% 0.44/0.62  % (11183)Memory used [KB]: 1083
% 0.44/0.62  % (11183)Time elapsed: 0.005 s
% 0.44/0.62  % (11183)Instructions burned: 6 (million)
% 0.44/0.62  % (11183)------------------------------
% 0.44/0.62  % (11183)------------------------------
% 0.44/0.62  % (11185)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 (2997ds/35Mi)
% 0.44/0.62  % (11187)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2997ds/87Mi)
% 0.44/0.62  % (11145)Instruction limit reached!
% 0.44/0.62  % (11145)------------------------------
% 0.44/0.62  % (11145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.62  % (11145)Termination reason: Unknown
% 0.44/0.62  % (11145)Termination phase: Saturation
% 0.44/0.62  
% 0.44/0.62  % (11145)Memory used [KB]: 1643
% 0.44/0.62  % (11145)Time elapsed: 0.029 s
% 0.44/0.62  % (11145)Instructions burned: 52 (million)
% 0.44/0.62  % (11145)------------------------------
% 0.44/0.62  % (11145)------------------------------
% 0.44/0.63  % (11189)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 (2997ds/109Mi)
% 0.44/0.63  % (11181)Instruction limit reached!
% 0.44/0.63  % (11181)------------------------------
% 0.44/0.63  % (11181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.63  % (11181)Termination reason: Unknown
% 0.44/0.63  % (11181)Termination phase: Saturation
% 0.44/0.63  
% 0.44/0.63  % (11181)Memory used [KB]: 1190
% 0.44/0.63  % (11181)Time elapsed: 0.014 s
% 0.44/0.63  % (11181)Instructions burned: 55 (million)
% 0.44/0.63  % (11181)------------------------------
% 0.44/0.63  % (11181)------------------------------
% 0.44/0.63  % (11191)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 (2997ds/161Mi)
% 0.44/0.63  % (11193)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 (2997ds/69Mi)
% 0.44/0.63  % (11191)Refutation not found, incomplete strategy% (11191)------------------------------
% 0.44/0.63  % (11191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.63  % (11191)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.63  
% 0.44/0.63  % (11191)Memory used [KB]: 979
% 0.44/0.63  % (11191)Time elapsed: 0.003 s
% 0.44/0.63  % (11191)Instructions burned: 3 (million)
% 0.44/0.63  % (11193)Refutation not found, incomplete strategy% (11193)------------------------------
% 0.44/0.63  % (11193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.63  % (11191)------------------------------
% 0.44/0.63  % (11191)------------------------------
% 0.44/0.63  % (11193)Termination reason: Refutation not found, incomplete strategy
% 0.44/0.63  
% 0.44/0.63  % (11193)Memory used [KB]: 993
% 0.44/0.63  % (11193)Time elapsed: 0.002 s
% 0.44/0.63  % (11193)Instructions burned: 4 (million)
% 0.44/0.63  % (11193)------------------------------
% 0.44/0.63  % (11193)------------------------------
% 0.61/0.63  % (11197)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 (2997ds/40Mi)
% 0.61/0.64  % (11198)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 (2997ds/360Mi)
% 0.61/0.64  % (11185)Instruction limit reached!
% 0.61/0.64  % (11185)------------------------------
% 0.61/0.64  % (11185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.64  % (11185)Termination reason: Unknown
% 0.61/0.64  % (11185)Termination phase: Saturation
% 0.61/0.64  
% 0.61/0.64  % (11185)Memory used [KB]: 1165
% 0.61/0.64  % (11185)Time elapsed: 0.018 s
% 0.61/0.64  % (11185)Instructions burned: 35 (million)
% 0.61/0.64  % (11185)------------------------------
% 0.61/0.64  % (11185)------------------------------
% 0.61/0.64  % (11206)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 (2997ds/161Mi)
% 0.61/0.64  % (11197)Instruction limit reached!
% 0.61/0.64  % (11197)------------------------------
% 0.61/0.64  % (11197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.64  % (11197)Termination reason: Unknown
% 0.61/0.64  % (11197)Termination phase: Saturation
% 0.61/0.64  
% 0.61/0.64  % (11197)Memory used [KB]: 1528
% 0.61/0.64  % (11197)Time elapsed: 0.033 s
% 0.61/0.64  % (11197)Instructions burned: 43 (million)
% 0.61/0.64  % (11197)------------------------------
% 0.61/0.64  % (11197)------------------------------
% 0.61/0.65  % (11208)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 (2996ds/80Mi)
% 0.61/0.65  % (11189)First to succeed.
% 0.61/0.66  % (11189)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11039"
% 0.61/0.66  % (11189)Refutation found. Thanks to Tanya!
% 0.61/0.66  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.66  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.66  % (11189)------------------------------
% 0.61/0.66  % (11189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.66  % (11189)Termination reason: Refutation
% 0.61/0.66  
% 0.61/0.66  % (11189)Memory used [KB]: 1513
% 0.61/0.66  % (11189)Time elapsed: 0.052 s
% 0.61/0.66  % (11189)Instructions burned: 48 (million)
% 0.61/0.66  % (11039)Success in time 0.333 s
% 0.61/0.66  % Vampire---4.8 exiting
%------------------------------------------------------------------------------