TSTP Solution File: GRP125-3.005 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP125-3.005 : TPTP v8.1.2. Released v1.2.0.
% 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 : n009.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 05:46:06 EDT 2024

% Result   : Unsatisfiable 0.81s 0.85s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  147
% Syntax   : Number of formulae    :  638 (  75 unt;   0 def)
%            Number of atoms       : 1561 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 1664 ( 741   ~; 819   |;   0   &)
%                                         ( 104 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  111 ( 110 usr; 105 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   93 (  93   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2838,plain,
    $false,
    inference(avatar_sat_refutation,[],[f216,f237,f258,f279,f292,f319,f340,f361,f382,f415,f441,f462,f483,f517,f559,f580,f622,f646,f673,f694,f715,f736,f761,f817,f839,f862,f877,f888,f929,f940,f947,f971,f1004,f1016,f1027,f1037,f1040,f1043,f1052,f1076,f1083,f1099,f1120,f1159,f1223,f1235,f1237,f1272,f1279,f1288,f1316,f1328,f1349,f1364,f1383,f1393,f1402,f1409,f1417,f1424,f1440,f1447,f1456,f1463,f1478,f1487,f1499,f1501,f1508,f1518,f1528,f1551,f1577,f1590,f1634,f1653,f1660,f1675,f1682,f1707,f1714,f1721,f1732,f1748,f1765,f1797,f1831,f1888,f1915,f1922,f1962,f1988,f1996,f2006,f2013,f2048,f2060,f2096,f2120,f2130,f2146,f2217,f2236,f2276,f2291,f2309,f2338,f2404,f2486,f2500,f2516,f2572,f2696,f2790,f2822,f2837]) ).

fof(f2837,plain,
    ( ~ spl0_16
    | ~ spl0_60 ),
    inference(avatar_contradiction_clause,[],[f2836]) ).

fof(f2836,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f2835,f407]) ).

fof(f407,plain,
    ( cycle(e_2,e_0)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f406,plain,
    ( spl0_60
  <=> cycle(e_2,e_0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f2835,plain,
    ( ~ cycle(e_2,e_0)
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2826,f16]) ).

fof(f16,axiom,
    greater(e_4,e_2),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_4_greater_e_2) ).

fof(f2826,plain,
    ( ~ greater(e_4,e_2)
    | ~ cycle(e_2,e_0)
    | ~ spl0_16 ),
    inference(resolution,[],[f199,f26]) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( ~ product(X0,e_1,X1)
      | ~ greater(X1,X0)
      | ~ cycle(X0,e_0) ),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',cycle6) ).

fof(f199,plain,
    ( product(e_2,e_1,e_4)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f197,plain,
    ( spl0_16
  <=> product(e_2,e_1,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2822,plain,
    ( ~ spl0_27
    | ~ spl0_87
    | spl0_114 ),
    inference(avatar_contradiction_clause,[],[f2821]) ).

fof(f2821,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_87
    | spl0_114 ),
    inference(subsumption_resolution,[],[f2816,f684]) ).

fof(f684,plain,
    ( ~ product(e_2,e_5,e_1)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f683,plain,
    ( spl0_114
  <=> product(e_2,e_5,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2816,plain,
    ( product(e_2,e_5,e_1)
    | ~ spl0_27
    | ~ spl0_87 ),
    inference(resolution,[],[f554,f2593]) ).

fof(f2593,plain,
    ( ! [X0] :
        ( ~ product(e_1,e_4,X0)
        | product(X0,e_5,e_1) )
    | ~ spl0_27 ),
    inference(resolution,[],[f245,f58]) ).

fof(f58,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X1,X0,X5)
      | product(X4,X5,X0)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',qg3) ).

fof(f245,plain,
    ( product(e_4,e_1,e_5)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl0_27
  <=> product(e_4,e_1,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f554,plain,
    ( product(e_1,e_4,e_2)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f552,plain,
    ( spl0_87
  <=> product(e_1,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f2790,plain,
    ( ~ spl0_27
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f2789]) ).

fof(f2789,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f2778,f49]) ).

fof(f49,axiom,
    ~ equalish(e_5,e_1),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_5_is_not_e_1) ).

fof(f2778,plain,
    ( equalish(e_5,e_1)
    | ~ spl0_27
    | ~ spl0_85 ),
    inference(resolution,[],[f2773,f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ product(X0,X0,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f54,f57]) ).

fof(f57,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',product_idempotence) ).

fof(f54,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | ~ product(X0,X1,X2)
      | equalish(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',product_total_function2) ).

fof(f2773,plain,
    ( product(e_5,e_5,e_1)
    | ~ spl0_27
    | ~ spl0_85 ),
    inference(resolution,[],[f2593,f546]) ).

fof(f546,plain,
    ( product(e_1,e_4,e_5)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f544,plain,
    ( spl0_85
  <=> product(e_1,e_4,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2696,plain,
    ( spl0_97
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f2693,f300,f213,f594]) ).

fof(f594,plain,
    ( spl0_97
  <=> product(e_3,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f213,plain,
    ( spl0_20
  <=> product(e_2,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f300,plain,
    ( spl0_38
  <=> product(e_1,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f2693,plain,
    ( product(e_3,e_4,e_2)
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(resolution,[],[f2519,f215]) ).

fof(f215,plain,
    ( product(e_2,e_1,e_3)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f2519,plain,
    ( ! [X0] :
        ( ~ product(e_2,e_1,X0)
        | product(X0,e_4,e_2) )
    | ~ spl0_38 ),
    inference(resolution,[],[f302,f58]) ).

fof(f302,plain,
    ( product(e_1,e_2,e_4)
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f2572,plain,
    ( ~ spl0_29
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f2571]) ).

fof(f2571,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(subsumption_resolution,[],[f2570,f48]) ).

fof(f48,axiom,
    ~ equalish(e_4,e_5),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_4_is_not_e_5) ).

fof(f2570,plain,
    ( equalish(e_4,e_5)
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(resolution,[],[f2496,f274]) ).

fof(f274,plain,
    ( product(e_5,e_1,e_2)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f272,plain,
    ( spl0_34
  <=> product(e_5,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f2496,plain,
    ( ! [X0] :
        ( ~ product(X0,e_1,e_2)
        | equalish(e_4,X0) )
    | ~ spl0_29 ),
    inference(resolution,[],[f253,f56]) ).

fof(f56,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X1,X0)
      | ~ product(X2,X1,X0)
      | equalish(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',product_left_cancellation) ).

fof(f253,plain,
    ( product(e_4,e_1,e_2)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl0_29
  <=> product(e_4,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2516,plain,
    ( ~ spl0_34
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f2515]) ).

fof(f2515,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_102 ),
    inference(subsumption_resolution,[],[f2508,f45]) ).

fof(f45,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_4_is_not_e_1) ).

fof(f2508,plain,
    ( equalish(e_4,e_1)
    | ~ spl0_34
    | ~ spl0_102 ),
    inference(resolution,[],[f274,f2400]) ).

fof(f2400,plain,
    ( ! [X0] :
        ( ~ product(e_5,X0,e_2)
        | equalish(e_4,X0) )
    | ~ spl0_102 ),
    inference(resolution,[],[f617,f55]) ).

fof(f55,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X3,X1)
      | ~ product(X0,X2,X1)
      | equalish(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',product_right_cancellation) ).

fof(f617,plain,
    ( product(e_5,e_4,e_2)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f615,plain,
    ( spl0_102
  <=> product(e_5,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2500,plain,
    ( ~ spl0_24
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f2499]) ).

fof(f2499,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f2492,f43]) ).

fof(f43,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_3_is_not_e_4) ).

fof(f2492,plain,
    ( equalish(e_3,e_4)
    | ~ spl0_24
    | ~ spl0_29 ),
    inference(resolution,[],[f253,f2342]) ).

fof(f2342,plain,
    ( ! [X0] :
        ( ~ product(X0,e_1,e_2)
        | equalish(e_3,X0) )
    | ~ spl0_24 ),
    inference(resolution,[],[f232,f56]) ).

fof(f232,plain,
    ( product(e_3,e_1,e_2)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl0_24
  <=> product(e_3,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f2486,plain,
    ( ~ spl0_79
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2485]) ).

fof(f2485,plain,
    ( $false
    | ~ spl0_79
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2471,f36]) ).

fof(f36,axiom,
    ~ equalish(e_1,e_5),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_1_is_not_e_5) ).

fof(f2471,plain,
    ( equalish(e_1,e_5)
    | ~ spl0_79
    | ~ spl0_119 ),
    inference(resolution,[],[f2465,f71]) ).

fof(f2465,plain,
    ( product(e_1,e_1,e_5)
    | ~ spl0_79
    | ~ spl0_119 ),
    inference(resolution,[],[f1969,f495]) ).

fof(f495,plain,
    ( product(e_5,e_3,e_1)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f493,plain,
    ( spl0_79
  <=> product(e_5,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1969,plain,
    ( ! [X0] :
        ( ~ product(e_5,e_3,X0)
        | product(X0,e_1,e_5) )
    | ~ spl0_119 ),
    inference(resolution,[],[f706,f58]) ).

fof(f706,plain,
    ( product(e_3,e_5,e_1)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f704,plain,
    ( spl0_119
  <=> product(e_3,e_5,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f2404,plain,
    ~ spl0_106,
    inference(avatar_contradiction_clause,[],[f2403]) ).

fof(f2403,plain,
    ( $false
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f2402,f52]) ).

fof(f52,axiom,
    ~ equalish(e_5,e_4),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_5_is_not_e_4) ).

fof(f2402,plain,
    ( equalish(e_5,e_4)
    | ~ spl0_106 ),
    inference(resolution,[],[f645,f4]) ).

fof(f4,axiom,
    next(e_3,e_4),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_3_then_e_4) ).

fof(f645,plain,
    ( ! [X0] :
        ( ~ next(e_3,X0)
        | equalish(e_5,X0) )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f644,plain,
    ( spl0_106
  <=> ! [X0] :
        ( ~ next(e_3,X0)
        | equalish(e_5,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2338,plain,
    ( spl0_79
    | ~ spl0_20
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f2277,f304,f213,f493]) ).

fof(f304,plain,
    ( spl0_39
  <=> product(e_1,e_2,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2277,plain,
    ( product(e_5,e_3,e_1)
    | ~ spl0_20
    | ~ spl0_39 ),
    inference(resolution,[],[f306,f1055]) ).

fof(f1055,plain,
    ( ! [X0] :
        ( ~ product(e_1,e_2,X0)
        | product(X0,e_3,e_1) )
    | ~ spl0_20 ),
    inference(resolution,[],[f215,f58]) ).

fof(f306,plain,
    ( product(e_1,e_2,e_5)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f2309,plain,
    ( ~ spl0_24
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f2308]) ).

fof(f2308,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f2301,f45]) ).

fof(f2301,plain,
    ( equalish(e_4,e_1)
    | ~ spl0_24
    | ~ spl0_97 ),
    inference(resolution,[],[f232,f1959]) ).

fof(f1959,plain,
    ( ! [X0] :
        ( ~ product(e_3,X0,e_2)
        | equalish(e_4,X0) )
    | ~ spl0_97 ),
    inference(resolution,[],[f596,f55]) ).

fof(f596,plain,
    ( product(e_3,e_4,e_2)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f2291,plain,
    ( ~ spl0_45
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f2290]) ).

fof(f2290,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f2283,f47]) ).

fof(f47,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_4_is_not_e_3) ).

fof(f2283,plain,
    ( equalish(e_4,e_3)
    | ~ spl0_45
    | ~ spl0_50 ),
    inference(resolution,[],[f331,f2132]) ).

fof(f2132,plain,
    ( ! [X0] :
        ( ~ product(X0,e_2,e_1)
        | equalish(e_4,X0) )
    | ~ spl0_50 ),
    inference(resolution,[],[f352,f56]) ).

fof(f352,plain,
    ( product(e_4,e_2,e_1)
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f350,plain,
    ( spl0_50
  <=> product(e_4,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f331,plain,
    ( product(e_3,e_2,e_1)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl0_45
  <=> product(e_3,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f2276,plain,
    ( ~ spl0_20
    | ~ spl0_42 ),
    inference(avatar_contradiction_clause,[],[f2275]) ).

fof(f2275,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_42 ),
    inference(subsumption_resolution,[],[f2266,f41]) ).

fof(f41,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_3_is_not_e_1) ).

fof(f2266,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_20
    | ~ spl0_42 ),
    inference(resolution,[],[f2218,f71]) ).

fof(f2218,plain,
    ( product(e_3,e_3,e_1)
    | ~ spl0_20
    | ~ spl0_42 ),
    inference(resolution,[],[f318,f1055]) ).

fof(f318,plain,
    ( product(e_1,e_2,e_3)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f316,plain,
    ( spl0_42
  <=> product(e_1,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f2236,plain,
    ( ~ spl0_67
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f2235]) ).

fof(f2235,plain,
    ( $false
    | ~ spl0_67
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f2230,f51]) ).

fof(f51,axiom,
    ~ equalish(e_5,e_3),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_5_is_not_e_3) ).

fof(f2230,plain,
    ( equalish(e_5,e_3)
    | ~ spl0_67
    | ~ spl0_112 ),
    inference(resolution,[],[f445,f2153]) ).

fof(f2153,plain,
    ( ! [X0] :
        ( ~ product(e_2,X0,e_4)
        | equalish(e_5,X0) )
    | ~ spl0_112 ),
    inference(resolution,[],[f677,f55]) ).

fof(f677,plain,
    ( product(e_2,e_5,e_4)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl0_112
  <=> product(e_2,e_5,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f445,plain,
    ( product(e_2,e_3,e_4)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f443,plain,
    ( spl0_67
  <=> product(e_2,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2217,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | spl0_74 ),
    inference(avatar_contradiction_clause,[],[f2216]) ).

fof(f2216,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_38
    | spl0_74 ),
    inference(subsumption_resolution,[],[f2215,f473]) ).

fof(f473,plain,
    ( ~ product(e_4,e_3,e_1)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f472,plain,
    ( spl0_74
  <=> product(e_4,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f2215,plain,
    ( product(e_4,e_3,e_1)
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(resolution,[],[f1055,f302]) ).

fof(f2146,plain,
    ( ~ spl0_114
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f2145]) ).

fof(f2145,plain,
    ( $false
    | ~ spl0_114
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f2143,f42]) ).

fof(f42,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_3_is_not_e_2) ).

fof(f2143,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_114
    | ~ spl0_119 ),
    inference(resolution,[],[f1970,f685]) ).

fof(f685,plain,
    ( product(e_2,e_5,e_1)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f1970,plain,
    ( ! [X0] :
        ( ~ product(X0,e_5,e_1)
        | equalish(e_3,X0) )
    | ~ spl0_119 ),
    inference(resolution,[],[f706,f56]) ).

fof(f2130,plain,
    ( ~ spl0_88
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f2129]) ).

fof(f2129,plain,
    ( $false
    | ~ spl0_88
    | ~ spl0_103 ),
    inference(subsumption_resolution,[],[f2127,f49]) ).

fof(f2127,plain,
    ( equalish(e_5,e_1)
    | ~ spl0_88
    | ~ spl0_103 ),
    inference(resolution,[],[f1966,f558]) ).

fof(f558,plain,
    ( product(e_1,e_4,e_3)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f556,plain,
    ( spl0_88
  <=> product(e_1,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1966,plain,
    ( ! [X0] :
        ( ~ product(X0,e_4,e_3)
        | equalish(e_5,X0) )
    | ~ spl0_103 ),
    inference(resolution,[],[f621,f56]) ).

fof(f621,plain,
    ( product(e_5,e_4,e_3)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f619,plain,
    ( spl0_103
  <=> product(e_5,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f2120,plain,
    ( ~ spl0_87
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f2119]) ).

fof(f2119,plain,
    ( $false
    | ~ spl0_87
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f2117,f41]) ).

fof(f2117,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_87
    | ~ spl0_97 ),
    inference(resolution,[],[f1958,f554]) ).

fof(f1958,plain,
    ( ! [X0] :
        ( ~ product(X0,e_4,e_2)
        | equalish(e_3,X0) )
    | ~ spl0_97 ),
    inference(resolution,[],[f596,f56]) ).

fof(f2096,plain,
    ( ~ spl0_91
    | ~ spl0_114 ),
    inference(avatar_contradiction_clause,[],[f2095]) ).

fof(f2095,plain,
    ( $false
    | ~ spl0_91
    | ~ spl0_114 ),
    inference(subsumption_resolution,[],[f2094,f48]) ).

fof(f2094,plain,
    ( equalish(e_4,e_5)
    | ~ spl0_91
    | ~ spl0_114 ),
    inference(resolution,[],[f1953,f685]) ).

fof(f1953,plain,
    ( ! [X0] :
        ( ~ product(e_2,X0,e_1)
        | equalish(e_4,X0) )
    | ~ spl0_91 ),
    inference(resolution,[],[f571,f55]) ).

fof(f571,plain,
    ( product(e_2,e_4,e_1)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f569,plain,
    ( spl0_91
  <=> product(e_2,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2060,plain,
    ( ~ spl0_50
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f2059]) ).

fof(f2059,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f2058,f42]) ).

fof(f2058,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_50
    | ~ spl0_74 ),
    inference(resolution,[],[f1876,f352]) ).

fof(f1876,plain,
    ( ! [X0] :
        ( ~ product(e_4,X0,e_1)
        | equalish(e_3,X0) )
    | ~ spl0_74 ),
    inference(resolution,[],[f474,f55]) ).

fof(f474,plain,
    ( product(e_4,e_3,e_1)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f2048,plain,
    ( ~ spl0_74
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f2047]) ).

fof(f2047,plain,
    ( $false
    | ~ spl0_74
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f2046,f48]) ).

fof(f2046,plain,
    ( equalish(e_4,e_5)
    | ~ spl0_74
    | ~ spl0_79 ),
    inference(resolution,[],[f1875,f495]) ).

fof(f1875,plain,
    ( ! [X0] :
        ( ~ product(X0,e_3,e_1)
        | equalish(e_4,X0) )
    | ~ spl0_74 ),
    inference(resolution,[],[f474,f56]) ).

fof(f2013,plain,
    ~ spl0_70,
    inference(avatar_contradiction_clause,[],[f2012]) ).

fof(f2012,plain,
    ( $false
    | ~ spl0_70 ),
    inference(subsumption_resolution,[],[f2011,f38]) ).

fof(f38,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_2_is_not_e_3) ).

fof(f2011,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_70 ),
    inference(resolution,[],[f457,f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,X0)
      | equalish(X0,X1) ),
    inference(resolution,[],[f55,f57]) ).

fof(f457,plain,
    ( product(e_2,e_3,e_2)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f455,plain,
    ( spl0_70
  <=> product(e_2,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f2006,plain,
    ~ spl0_71,
    inference(avatar_contradiction_clause,[],[f2005]) ).

fof(f2005,plain,
    ( $false
    | ~ spl0_71 ),
    inference(subsumption_resolution,[],[f2002,f42]) ).

fof(f2002,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_71 ),
    inference(resolution,[],[f461,f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,X1)
      | equalish(X1,X0) ),
    inference(resolution,[],[f56,f57]) ).

fof(f461,plain,
    ( product(e_2,e_3,e_3)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f459,plain,
    ( spl0_71
  <=> product(e_2,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1996,plain,
    ( ~ spl0_69
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f1995]) ).

fof(f1995,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1994,f39]) ).

fof(f39,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_2_is_not_e_4) ).

fof(f1994,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_69
    | ~ spl0_74 ),
    inference(resolution,[],[f1767,f474]) ).

fof(f1767,plain,
    ( ! [X0] :
        ( ~ product(X0,e_3,e_1)
        | equalish(e_2,X0) )
    | ~ spl0_69 ),
    inference(resolution,[],[f453,f56]) ).

fof(f453,plain,
    ( product(e_2,e_3,e_1)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f451,plain,
    ( spl0_69
  <=> product(e_2,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1988,plain,
    ( ~ spl0_39
    | ~ spl0_44 ),
    inference(avatar_contradiction_clause,[],[f1987]) ).

fof(f1987,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f1985,f41]) ).

fof(f1985,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_39
    | ~ spl0_44 ),
    inference(resolution,[],[f1758,f306]) ).

fof(f1758,plain,
    ( ! [X0] :
        ( ~ product(X0,e_2,e_5)
        | equalish(e_3,X0) )
    | ~ spl0_44 ),
    inference(resolution,[],[f327,f56]) ).

fof(f327,plain,
    ( product(e_3,e_2,e_5)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl0_44
  <=> product(e_3,e_2,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1962,plain,
    ( ~ spl0_97
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1961]) ).

fof(f1961,plain,
    ( $false
    | ~ spl0_97
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1955,f52]) ).

fof(f1955,plain,
    ( equalish(e_5,e_4)
    | ~ spl0_97
    | ~ spl0_120 ),
    inference(resolution,[],[f596,f1561]) ).

fof(f1561,plain,
    ( ! [X0] :
        ( ~ product(e_3,X0,e_2)
        | equalish(e_5,X0) )
    | ~ spl0_120 ),
    inference(resolution,[],[f710,f55]) ).

fof(f710,plain,
    ( product(e_3,e_5,e_2)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f708,plain,
    ( spl0_120
  <=> product(e_3,e_5,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1922,plain,
    ( ~ spl0_120
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1921]) ).

fof(f1921,plain,
    ( $false
    | ~ spl0_120
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1916,f43]) ).

fof(f1916,plain,
    ( equalish(e_3,e_4)
    | ~ spl0_120
    | ~ spl0_125 ),
    inference(resolution,[],[f731,f1560]) ).

fof(f1560,plain,
    ( ! [X0] :
        ( ~ product(X0,e_5,e_2)
        | equalish(e_3,X0) )
    | ~ spl0_120 ),
    inference(resolution,[],[f710,f56]) ).

fof(f731,plain,
    ( product(e_4,e_5,e_2)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f729,plain,
    ( spl0_125
  <=> product(e_4,e_5,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1915,plain,
    ( ~ spl0_52
    | ~ spl0_126 ),
    inference(avatar_contradiction_clause,[],[f1914]) ).

fof(f1914,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_126 ),
    inference(subsumption_resolution,[],[f1913,f40]) ).

fof(f40,axiom,
    ~ equalish(e_2,e_5),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_2_is_not_e_5) ).

fof(f1913,plain,
    ( equalish(e_2,e_5)
    | ~ spl0_52
    | ~ spl0_126 ),
    inference(resolution,[],[f1735,f735]) ).

fof(f735,plain,
    ( product(e_4,e_5,e_3)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f733,plain,
    ( spl0_126
  <=> product(e_4,e_5,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1735,plain,
    ( ! [X0] :
        ( ~ product(e_4,X0,e_3)
        | equalish(e_2,X0) )
    | ~ spl0_52 ),
    inference(resolution,[],[f360,f55]) ).

fof(f360,plain,
    ( product(e_4,e_2,e_3)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f358,plain,
    ( spl0_52
  <=> product(e_4,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1888,plain,
    ( ~ spl0_88
    | ~ spl0_111 ),
    inference(avatar_contradiction_clause,[],[f1887]) ).

fof(f1887,plain,
    ( $false
    | ~ spl0_88
    | ~ spl0_111 ),
    inference(subsumption_resolution,[],[f1886,f48]) ).

fof(f1886,plain,
    ( equalish(e_4,e_5)
    | ~ spl0_88
    | ~ spl0_111 ),
    inference(resolution,[],[f1702,f672]) ).

fof(f672,plain,
    ( product(e_1,e_5,e_3)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f670,plain,
    ( spl0_111
  <=> product(e_1,e_5,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1702,plain,
    ( ! [X0] :
        ( ~ product(e_1,X0,e_3)
        | equalish(e_4,X0) )
    | ~ spl0_88 ),
    inference(resolution,[],[f558,f55]) ).

fof(f1831,plain,
    ( ~ spl0_20
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f1830]) ).

fof(f1830,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f1823,f39]) ).

fof(f1823,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_20
    | ~ spl0_30 ),
    inference(resolution,[],[f257,f1056]) ).

fof(f1056,plain,
    ( ! [X0] :
        ( ~ product(X0,e_1,e_3)
        | equalish(e_2,X0) )
    | ~ spl0_20 ),
    inference(resolution,[],[f215,f56]) ).

fof(f257,plain,
    ( product(e_4,e_1,e_3)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl0_30
  <=> product(e_4,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1797,plain,
    ( ~ spl0_21
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1796]) ).

fof(f1796,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f1794,f51]) ).

fof(f1794,plain,
    ( equalish(e_5,e_3)
    | ~ spl0_21
    | ~ spl0_31 ),
    inference(resolution,[],[f1610,f220]) ).

fof(f220,plain,
    ( product(e_3,e_1,e_4)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl0_21
  <=> product(e_3,e_1,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1610,plain,
    ( ! [X0] :
        ( ~ product(X0,e_1,e_4)
        | equalish(e_5,X0) )
    | ~ spl0_31 ),
    inference(resolution,[],[f262,f56]) ).

fof(f262,plain,
    ( product(e_5,e_1,e_4)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl0_31
  <=> product(e_5,e_1,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1765,plain,
    ( ~ spl0_68
    | ~ spl0_90 ),
    inference(avatar_contradiction_clause,[],[f1764]) ).

fof(f1764,plain,
    ( $false
    | ~ spl0_68
    | ~ spl0_90 ),
    inference(subsumption_resolution,[],[f1762,f47]) ).

fof(f1762,plain,
    ( equalish(e_4,e_3)
    | ~ spl0_68
    | ~ spl0_90 ),
    inference(resolution,[],[f1531,f449]) ).

fof(f449,plain,
    ( product(e_2,e_3,e_5)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f447,plain,
    ( spl0_68
  <=> product(e_2,e_3,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1531,plain,
    ( ! [X0] :
        ( ~ product(e_2,X0,e_5)
        | equalish(e_4,X0) )
    | ~ spl0_90 ),
    inference(resolution,[],[f567,f55]) ).

fof(f567,plain,
    ( product(e_2,e_4,e_5)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl0_90
  <=> product(e_2,e_4,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1748,plain,
    ( ~ spl0_110
    | ~ spl0_120 ),
    inference(avatar_contradiction_clause,[],[f1747]) ).

fof(f1747,plain,
    ( $false
    | ~ spl0_110
    | ~ spl0_120 ),
    inference(subsumption_resolution,[],[f1746,f34]) ).

fof(f34,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_1_is_not_e_3) ).

fof(f1746,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_110
    | ~ spl0_120 ),
    inference(resolution,[],[f1411,f710]) ).

fof(f1411,plain,
    ( ! [X0] :
        ( ~ product(X0,e_5,e_2)
        | equalish(e_1,X0) )
    | ~ spl0_110 ),
    inference(resolution,[],[f668,f56]) ).

fof(f668,plain,
    ( product(e_1,e_5,e_2)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl0_110
  <=> product(e_1,e_5,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1732,plain,
    ( ~ spl0_27
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f1731]) ).

fof(f1731,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f1726,f33]) ).

fof(f33,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_1_is_not_e_2) ).

fof(f1726,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(resolution,[],[f348,f1201]) ).

fof(f1201,plain,
    ( ! [X0] :
        ( ~ product(e_4,X0,e_5)
        | equalish(e_1,X0) )
    | ~ spl0_27 ),
    inference(resolution,[],[f245,f55]) ).

fof(f348,plain,
    ( product(e_4,e_2,e_5)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f346,plain,
    ( spl0_49
  <=> product(e_4,e_2,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1721,plain,
    ~ spl0_41,
    inference(avatar_contradiction_clause,[],[f1720]) ).

fof(f1720,plain,
    ( $false
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f1719,f37]) ).

fof(f37,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_2_is_not_e_1) ).

fof(f1719,plain,
    ( equalish(e_2,e_1)
    | ~ spl0_41 ),
    inference(resolution,[],[f314,f75]) ).

fof(f314,plain,
    ( product(e_1,e_2,e_2)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f312,plain,
    ( spl0_41
  <=> product(e_1,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1714,plain,
    ~ spl0_40,
    inference(avatar_contradiction_clause,[],[f1713]) ).

fof(f1713,plain,
    ( $false
    | ~ spl0_40 ),
    inference(subsumption_resolution,[],[f1712,f33]) ).

fof(f1712,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_40 ),
    inference(resolution,[],[f310,f73]) ).

fof(f310,plain,
    ( product(e_1,e_2,e_1)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl0_40
  <=> product(e_1,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1707,plain,
    ( ~ spl0_52
    | ~ spl0_57 ),
    inference(avatar_contradiction_clause,[],[f1706]) ).

fof(f1706,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f1704,f52]) ).

fof(f1704,plain,
    ( equalish(e_5,e_4)
    | ~ spl0_52
    | ~ spl0_57 ),
    inference(resolution,[],[f1385,f360]) ).

fof(f1385,plain,
    ( ! [X0] :
        ( ~ product(X0,e_2,e_3)
        | equalish(e_5,X0) )
    | ~ spl0_57 ),
    inference(resolution,[],[f381,f56]) ).

fof(f381,plain,
    ( product(e_5,e_2,e_3)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f379,plain,
    ( spl0_57
  <=> product(e_5,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1682,plain,
    ~ spl0_66,
    inference(avatar_contradiction_clause,[],[f1681]) ).

fof(f1681,plain,
    ( $false
    | ~ spl0_66 ),
    inference(subsumption_resolution,[],[f1680,f41]) ).

fof(f1680,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_66 ),
    inference(resolution,[],[f440,f75]) ).

fof(f440,plain,
    ( product(e_1,e_3,e_3)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f438,plain,
    ( spl0_66
  <=> product(e_1,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1675,plain,
    ~ spl0_76,
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1674,plain,
    ( $false
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f1673,f43]) ).

fof(f1673,plain,
    ( equalish(e_3,e_4)
    | ~ spl0_76 ),
    inference(resolution,[],[f482,f75]) ).

fof(f482,plain,
    ( product(e_4,e_3,e_3)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl0_76
  <=> product(e_4,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1660,plain,
    ( ~ spl0_39
    | ~ spl0_63 ),
    inference(avatar_contradiction_clause,[],[f1659]) ).

fof(f1659,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_63 ),
    inference(subsumption_resolution,[],[f1654,f38]) ).

fof(f1654,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_39
    | ~ spl0_63 ),
    inference(resolution,[],[f428,f1240]) ).

fof(f1240,plain,
    ( ! [X0] :
        ( ~ product(e_1,X0,e_5)
        | equalish(e_2,X0) )
    | ~ spl0_39 ),
    inference(resolution,[],[f306,f55]) ).

fof(f428,plain,
    ( product(e_1,e_3,e_5)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl0_63
  <=> product(e_1,e_3,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1653,plain,
    ( ~ spl0_69
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f1652]) ).

fof(f1652,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f1651,f40]) ).

fof(f1651,plain,
    ( equalish(e_2,e_5)
    | ~ spl0_69
    | ~ spl0_79 ),
    inference(resolution,[],[f1322,f495]) ).

fof(f1322,plain,
    ( ! [X0] :
        ( ~ product(X0,e_3,e_1)
        | equalish(e_2,X0) )
    | ~ spl0_69 ),
    inference(resolution,[],[f453,f56]) ).

fof(f1634,plain,
    ( ~ spl0_65
    | ~ spl0_75 ),
    inference(avatar_contradiction_clause,[],[f1633]) ).

fof(f1633,plain,
    ( $false
    | ~ spl0_65
    | ~ spl0_75 ),
    inference(subsumption_resolution,[],[f1632,f35]) ).

fof(f35,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_1_is_not_e_4) ).

fof(f1632,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_65
    | ~ spl0_75 ),
    inference(resolution,[],[f1318,f478]) ).

fof(f478,plain,
    ( product(e_4,e_3,e_2)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_75
  <=> product(e_4,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1318,plain,
    ( ! [X0] :
        ( ~ product(X0,e_3,e_2)
        | equalish(e_1,X0) )
    | ~ spl0_65 ),
    inference(resolution,[],[f436,f56]) ).

fof(f436,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f434,plain,
    ( spl0_65
  <=> product(e_1,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1590,plain,
    ~ spl0_25,
    inference(avatar_contradiction_clause,[],[f1589]) ).

fof(f1589,plain,
    ( $false
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f1585,f41]) ).

fof(f1585,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_25 ),
    inference(resolution,[],[f236,f73]) ).

fof(f236,plain,
    ( product(e_3,e_1,e_3)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_25
  <=> product(e_3,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1577,plain,
    ~ spl0_23,
    inference(avatar_contradiction_clause,[],[f1576]) ).

fof(f1576,plain,
    ( $false
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f1574,f34]) ).

fof(f1574,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_23 ),
    inference(resolution,[],[f228,f75]) ).

fof(f228,plain,
    ( product(e_3,e_1,e_1)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl0_23
  <=> product(e_3,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1551,plain,
    ~ spl0_118,
    inference(avatar_contradiction_clause,[],[f1550]) ).

fof(f1550,plain,
    ( $false
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f1549,f51]) ).

fof(f1549,plain,
    ( equalish(e_5,e_3)
    | ~ spl0_118 ),
    inference(resolution,[],[f702,f75]) ).

fof(f702,plain,
    ( product(e_3,e_5,e_5)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f700,plain,
    ( spl0_118
  <=> product(e_3,e_5,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1528,plain,
    ~ spl0_100,
    inference(avatar_contradiction_clause,[],[f1527]) ).

fof(f1527,plain,
    ( $false
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f1524,f52]) ).

fof(f1524,plain,
    ( equalish(e_5,e_4)
    | ~ spl0_100 ),
    inference(resolution,[],[f609,f73]) ).

fof(f609,plain,
    ( product(e_5,e_4,e_5)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f607,plain,
    ( spl0_100
  <=> product(e_5,e_4,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f1518,plain,
    ~ spl0_99,
    inference(avatar_contradiction_clause,[],[f1517]) ).

fof(f1517,plain,
    ( $false
    | ~ spl0_99 ),
    inference(subsumption_resolution,[],[f1514,f48]) ).

fof(f1514,plain,
    ( equalish(e_4,e_5)
    | ~ spl0_99 ),
    inference(resolution,[],[f605,f75]) ).

fof(f605,plain,
    ( product(e_5,e_4,e_4)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f603,plain,
    ( spl0_99
  <=> product(e_5,e_4,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1508,plain,
    ( ~ spl0_91
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1507]) ).

fof(f1507,plain,
    ( $false
    | ~ spl0_91
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1502,f50]) ).

fof(f50,axiom,
    ~ equalish(e_5,e_2),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_5_is_not_e_2) ).

fof(f1502,plain,
    ( equalish(e_5,e_2)
    | ~ spl0_91
    | ~ spl0_101 ),
    inference(resolution,[],[f571,f912]) ).

fof(f912,plain,
    ( ! [X0] :
        ( ~ product(X0,e_4,e_1)
        | equalish(e_5,X0) )
    | ~ spl0_101 ),
    inference(resolution,[],[f613,f56]) ).

fof(f613,plain,
    ( product(e_5,e_4,e_1)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f611,plain,
    ( spl0_101
  <=> product(e_5,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1501,plain,
    ( ~ spl0_20
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f1500]) ).

fof(f1500,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_116 ),
    inference(subsumption_resolution,[],[f1497,f36]) ).

fof(f1497,plain,
    ( equalish(e_1,e_5)
    | ~ spl0_20
    | ~ spl0_116 ),
    inference(resolution,[],[f1057,f693]) ).

fof(f693,plain,
    ( product(e_2,e_5,e_3)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f691,plain,
    ( spl0_116
  <=> product(e_2,e_5,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1057,plain,
    ( ! [X0] :
        ( ~ product(e_2,X0,e_3)
        | equalish(e_1,X0) )
    | ~ spl0_20 ),
    inference(resolution,[],[f215,f55]) ).

fof(f1499,plain,
    ( ~ spl0_20
    | ~ spl0_93 ),
    inference(avatar_contradiction_clause,[],[f1498]) ).

fof(f1498,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_93 ),
    inference(subsumption_resolution,[],[f1496,f35]) ).

fof(f1496,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_20
    | ~ spl0_93 ),
    inference(resolution,[],[f1057,f579]) ).

fof(f579,plain,
    ( product(e_2,e_4,e_3)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f577,plain,
    ( spl0_93
  <=> product(e_2,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1487,plain,
    ( ~ spl0_20
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f1486]) ).

fof(f1486,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(subsumption_resolution,[],[f1485,f40]) ).

fof(f1485,plain,
    ( equalish(e_2,e_5)
    | ~ spl0_20
    | ~ spl0_35 ),
    inference(resolution,[],[f1056,f278]) ).

fof(f278,plain,
    ( product(e_5,e_1,e_3)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f276,plain,
    ( spl0_35
  <=> product(e_5,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1478,plain,
    ~ spl0_51,
    inference(avatar_contradiction_clause,[],[f1477]) ).

fof(f1477,plain,
    ( $false
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f1476,f39]) ).

fof(f1476,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_51 ),
    inference(resolution,[],[f356,f75]) ).

fof(f356,plain,
    ( product(e_4,e_2,e_2)
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f354,plain,
    ( spl0_51
  <=> product(e_4,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1463,plain,
    ~ spl0_115,
    inference(avatar_contradiction_clause,[],[f1462]) ).

fof(f1462,plain,
    ( $false
    | ~ spl0_115 ),
    inference(subsumption_resolution,[],[f1461,f40]) ).

fof(f1461,plain,
    ( equalish(e_2,e_5)
    | ~ spl0_115 ),
    inference(resolution,[],[f689,f73]) ).

fof(f689,plain,
    ( product(e_2,e_5,e_2)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f687,plain,
    ( spl0_115
  <=> product(e_2,e_5,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1456,plain,
    ( ~ spl0_114
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1455]) ).

fof(f1455,plain,
    ( $false
    | ~ spl0_114
    | ~ spl0_124 ),
    inference(subsumption_resolution,[],[f1453,f46]) ).

fof(f46,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_4_is_not_e_2) ).

fof(f1453,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_114
    | ~ spl0_124 ),
    inference(resolution,[],[f949,f685]) ).

fof(f949,plain,
    ( ! [X0] :
        ( ~ product(X0,e_5,e_1)
        | equalish(e_4,X0) )
    | ~ spl0_124 ),
    inference(resolution,[],[f727,f56]) ).

fof(f727,plain,
    ( product(e_4,e_5,e_1)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_124
  <=> product(e_4,e_5,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1447,plain,
    ~ spl0_47,
    inference(avatar_contradiction_clause,[],[f1446]) ).

fof(f1446,plain,
    ( $false
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f1445,f42]) ).

fof(f1445,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_47 ),
    inference(resolution,[],[f339,f73]) ).

fof(f339,plain,
    ( product(e_3,e_2,e_3)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl0_47
  <=> product(e_3,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1440,plain,
    ~ spl0_46,
    inference(avatar_contradiction_clause,[],[f1439]) ).

fof(f1439,plain,
    ( $false
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f1438,f38]) ).

fof(f1438,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_46 ),
    inference(resolution,[],[f335,f75]) ).

fof(f335,plain,
    ( product(e_3,e_2,e_2)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f333,plain,
    ( spl0_46
  <=> product(e_3,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1424,plain,
    ~ spl0_113,
    inference(avatar_contradiction_clause,[],[f1423]) ).

fof(f1423,plain,
    ( $false
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1422,f50]) ).

fof(f1422,plain,
    ( equalish(e_5,e_2)
    | ~ spl0_113 ),
    inference(resolution,[],[f681,f75]) ).

fof(f681,plain,
    ( product(e_2,e_5,e_5)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f679,plain,
    ( spl0_113
  <=> product(e_2,e_5,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1417,plain,
    ( ~ spl0_112
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1416]) ).

fof(f1416,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_117 ),
    inference(subsumption_resolution,[],[f1415,f38]) ).

fof(f1415,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_112
    | ~ spl0_117 ),
    inference(resolution,[],[f920,f698]) ).

fof(f698,plain,
    ( product(e_3,e_5,e_4)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f696,plain,
    ( spl0_117
  <=> product(e_3,e_5,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f920,plain,
    ( ! [X0] :
        ( ~ product(X0,e_5,e_4)
        | equalish(e_2,X0) )
    | ~ spl0_112 ),
    inference(resolution,[],[f677,f56]) ).

fof(f1409,plain,
    ~ spl0_109,
    inference(avatar_contradiction_clause,[],[f1408]) ).

fof(f1408,plain,
    ( $false
    | ~ spl0_109 ),
    inference(subsumption_resolution,[],[f1407,f36]) ).

fof(f1407,plain,
    ( equalish(e_1,e_5)
    | ~ spl0_109 ),
    inference(resolution,[],[f664,f73]) ).

fof(f664,plain,
    ( product(e_1,e_5,e_1)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f662,plain,
    ( spl0_109
  <=> product(e_1,e_5,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1402,plain,
    ~ spl0_108,
    inference(avatar_contradiction_clause,[],[f1401]) ).

fof(f1401,plain,
    ( $false
    | ~ spl0_108 ),
    inference(subsumption_resolution,[],[f1400,f49]) ).

fof(f1400,plain,
    ( equalish(e_5,e_1)
    | ~ spl0_108 ),
    inference(resolution,[],[f660,f75]) ).

fof(f660,plain,
    ( product(e_1,e_5,e_5)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f658,plain,
    ( spl0_108
  <=> product(e_1,e_5,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1393,plain,
    ( ~ spl0_107
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1392]) ).

fof(f1392,plain,
    ( $false
    | ~ spl0_107
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f1390,f33]) ).

fof(f1390,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_107
    | ~ spl0_112 ),
    inference(resolution,[],[f916,f677]) ).

fof(f916,plain,
    ( ! [X0] :
        ( ~ product(X0,e_5,e_4)
        | equalish(e_1,X0) )
    | ~ spl0_107 ),
    inference(resolution,[],[f656,f56]) ).

fof(f656,plain,
    ( product(e_1,e_5,e_4)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f654,plain,
    ( spl0_107
  <=> product(e_1,e_5,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1383,plain,
    ( ~ spl0_55
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1382]) ).

fof(f1382,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f1381,f46]) ).

fof(f1381,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_55
    | ~ spl0_101 ),
    inference(resolution,[],[f913,f373]) ).

fof(f373,plain,
    ( product(e_5,e_2,e_1)
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl0_55
  <=> product(e_5,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f913,plain,
    ( ! [X0] :
        ( ~ product(e_5,X0,e_1)
        | equalish(e_4,X0) )
    | ~ spl0_101 ),
    inference(resolution,[],[f613,f55]) ).

fof(f1364,plain,
    ~ spl0_92,
    inference(avatar_contradiction_clause,[],[f1363]) ).

fof(f1363,plain,
    ( $false
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f1362,f39]) ).

fof(f1362,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_92 ),
    inference(resolution,[],[f575,f73]) ).

fof(f575,plain,
    ( product(e_2,e_4,e_2)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f573,plain,
    ( spl0_92
  <=> product(e_2,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1349,plain,
    ~ spl0_86,
    inference(avatar_contradiction_clause,[],[f1348]) ).

fof(f1348,plain,
    ( $false
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f1347,f35]) ).

fof(f1347,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_86 ),
    inference(resolution,[],[f550,f73]) ).

fof(f550,plain,
    ( product(e_1,e_4,e_1)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f548,plain,
    ( spl0_86
  <=> product(e_1,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1328,plain,
    ( ~ spl0_27
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1327]) ).

fof(f1327,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f1325,f41]) ).

fof(f1325,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_27
    | ~ spl0_73 ),
    inference(resolution,[],[f865,f245]) ).

fof(f865,plain,
    ( ! [X0] :
        ( ~ product(e_4,X0,e_5)
        | equalish(e_3,X0) )
    | ~ spl0_73 ),
    inference(resolution,[],[f470,f55]) ).

fof(f470,plain,
    ( product(e_4,e_3,e_5)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl0_73
  <=> product(e_4,e_3,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1316,plain,
    ~ spl0_64,
    inference(avatar_contradiction_clause,[],[f1315]) ).

fof(f1315,plain,
    ( $false
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f1314,f34]) ).

fof(f1314,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_64 ),
    inference(resolution,[],[f432,f73]) ).

fof(f432,plain,
    ( product(e_1,e_3,e_1)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl0_64
  <=> product(e_1,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1288,plain,
    ( ~ spl0_62
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f1287]) ).

fof(f1287,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f1285,f33]) ).

fof(f1285,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_62
    | ~ spl0_67 ),
    inference(resolution,[],[f849,f445]) ).

fof(f849,plain,
    ( ! [X0] :
        ( ~ product(X0,e_3,e_4)
        | equalish(e_1,X0) )
    | ~ spl0_62 ),
    inference(resolution,[],[f424,f56]) ).

fof(f424,plain,
    ( product(e_1,e_3,e_4)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f422,plain,
    ( spl0_62
  <=> product(e_1,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1279,plain,
    ~ spl0_54,
    inference(avatar_contradiction_clause,[],[f1278]) ).

fof(f1278,plain,
    ( $false
    | ~ spl0_54 ),
    inference(subsumption_resolution,[],[f1277,f50]) ).

fof(f1277,plain,
    ( equalish(e_5,e_2)
    | ~ spl0_54 ),
    inference(resolution,[],[f369,f73]) ).

fof(f369,plain,
    ( product(e_5,e_2,e_5)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f367,plain,
    ( spl0_54
  <=> product(e_5,e_2,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1272,plain,
    ~ spl0_56,
    inference(avatar_contradiction_clause,[],[f1271]) ).

fof(f1271,plain,
    ( $false
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f1270,f40]) ).

fof(f1270,plain,
    ( equalish(e_2,e_5)
    | ~ spl0_56 ),
    inference(resolution,[],[f377,f75]) ).

fof(f377,plain,
    ( product(e_5,e_2,e_2)
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl0_56
  <=> product(e_5,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1237,plain,
    ( ~ spl0_38
    | ~ spl0_53 ),
    inference(avatar_contradiction_clause,[],[f1236]) ).

fof(f1236,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f1233,f36]) ).

fof(f1233,plain,
    ( equalish(e_1,e_5)
    | ~ spl0_38
    | ~ spl0_53 ),
    inference(resolution,[],[f826,f365]) ).

fof(f365,plain,
    ( product(e_5,e_2,e_4)
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f363,plain,
    ( spl0_53
  <=> product(e_5,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f826,plain,
    ( ! [X0] :
        ( ~ product(X0,e_2,e_4)
        | equalish(e_1,X0) )
    | ~ spl0_38 ),
    inference(resolution,[],[f302,f56]) ).

fof(f1235,plain,
    ( ~ spl0_38
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f1234]) ).

fof(f1234,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f1232,f34]) ).

fof(f1232,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_38
    | ~ spl0_43 ),
    inference(resolution,[],[f826,f323]) ).

fof(f323,plain,
    ( product(e_3,e_2,e_4)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl0_43
  <=> product(e_3,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1223,plain,
    ~ spl0_32,
    inference(avatar_contradiction_clause,[],[f1222]) ).

fof(f1222,plain,
    ( $false
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f1220,f49]) ).

fof(f1220,plain,
    ( equalish(e_5,e_1)
    | ~ spl0_32 ),
    inference(resolution,[],[f266,f73]) ).

fof(f266,plain,
    ( product(e_5,e_1,e_5)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl0_32
  <=> product(e_5,e_1,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1159,plain,
    ~ spl0_28,
    inference(avatar_contradiction_clause,[],[f1158]) ).

fof(f1158,plain,
    ( $false
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f1153,f35]) ).

fof(f1153,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_28 ),
    inference(resolution,[],[f249,f75]) ).

fof(f249,plain,
    ( product(e_4,e_1,e_1)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl0_28
  <=> product(e_4,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1120,plain,
    ( ~ spl0_104
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1119]) ).

fof(f1119,plain,
    ( $false
    | ~ spl0_104
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f1114,f7]) ).

fof(f7,axiom,
    greater(e_2,e_0),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_2_greater_e_0) ).

fof(f1114,plain,
    ( ~ greater(e_2,e_0)
    | ~ spl0_104
    | ~ spl0_149 ),
    inference(resolution,[],[f1071,f631]) ).

fof(f631,plain,
    ( ! [X1] :
        ( ~ cycle(e_3,X1)
        | ~ greater(X1,e_0) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f630,plain,
    ( spl0_104
  <=> ! [X1] :
        ( ~ greater(X1,e_0)
        | ~ cycle(e_3,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1071,plain,
    ( cycle(e_3,e_2)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1069,plain,
    ( spl0_149
  <=> cycle(e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1099,plain,
    ( ~ spl0_104
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f1098]) ).

fof(f1098,plain,
    ( $false
    | ~ spl0_104
    | ~ spl0_150 ),
    inference(subsumption_resolution,[],[f1093,f8]) ).

fof(f8,axiom,
    greater(e_3,e_0),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_3_greater_e_0) ).

fof(f1093,plain,
    ( ~ greater(e_3,e_0)
    | ~ spl0_104
    | ~ spl0_150 ),
    inference(resolution,[],[f1075,f631]) ).

fof(f1075,plain,
    ( cycle(e_3,e_3)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1073,plain,
    ( spl0_150
  <=> cycle(e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1083,plain,
    ( ~ spl0_104
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1082]) ).

fof(f1082,plain,
    ( $false
    | ~ spl0_104
    | ~ spl0_148 ),
    inference(subsumption_resolution,[],[f1077,f6]) ).

fof(f6,axiom,
    greater(e_1,e_0),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_1_greater_e_0) ).

fof(f1077,plain,
    ( ~ greater(e_1,e_0)
    | ~ spl0_104
    | ~ spl0_148 ),
    inference(resolution,[],[f1067,f631]) ).

fof(f1067,plain,
    ( cycle(e_3,e_1)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1065,plain,
    ( spl0_148
  <=> cycle(e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1076,plain,
    ( spl0_148
    | spl0_149
    | spl0_150
    | ~ spl0_22
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1063,f630,f222,f1073,f1069,f1065]) ).

fof(f222,plain,
    ( spl0_22
  <=> product(e_3,e_1,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1063,plain,
    ( cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | ~ spl0_22
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1062,f30]) ).

fof(f30,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',element_3) ).

fof(f1062,plain,
    ( cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | ~ group_element(e_3)
    | ~ spl0_22
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1061,f647]) ).

fof(f647,plain,
    ( ~ cycle(e_3,e_0)
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f638,f19]) ).

fof(f19,axiom,
    greater(e_5,e_3),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_5_greater_e_3) ).

fof(f638,plain,
    ( ~ greater(e_5,e_3)
    | ~ cycle(e_3,e_0)
    | ~ spl0_22 ),
    inference(resolution,[],[f224,f26]) ).

fof(f224,plain,
    ( product(e_3,e_1,e_5)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f1061,plain,
    ( cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_3,e_0)
    | ~ group_element(e_3)
    | ~ spl0_104 ),
    inference(subsumption_resolution,[],[f1060,f9]) ).

fof(f9,axiom,
    greater(e_4,e_0),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_4_greater_e_0) ).

fof(f1060,plain,
    ( ~ greater(e_4,e_0)
    | cycle(e_3,e_3)
    | cycle(e_3,e_2)
    | cycle(e_3,e_1)
    | cycle(e_3,e_0)
    | ~ group_element(e_3)
    | ~ spl0_104 ),
    inference(resolution,[],[f631,f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( cycle(X0,e_4)
      | cycle(X0,e_3)
      | cycle(X0,e_2)
      | cycle(X0,e_1)
      | cycle(X0,e_0)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',cycle2) ).

fof(f1052,plain,
    ~ spl0_37,
    inference(avatar_contradiction_clause,[],[f1051]) ).

fof(f1051,plain,
    ( $false
    | ~ spl0_37 ),
    inference(subsumption_resolution,[],[f1050,f47]) ).

fof(f1050,plain,
    ( equalish(e_4,e_3)
    | ~ spl0_37 ),
    inference(resolution,[],[f291,f3]) ).

fof(f3,axiom,
    next(e_2,e_3),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_2_then_e_3) ).

fof(f291,plain,
    ( ! [X0] :
        ( ~ next(e_2,X0)
        | equalish(e_4,X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f290,plain,
    ( spl0_37
  <=> ! [X0] :
        ( ~ next(e_2,X0)
        | equalish(e_4,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1043,plain,
    ~ spl0_58,
    inference(avatar_contradiction_clause,[],[f1042]) ).

fof(f1042,plain,
    ( $false
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f1041,f51]) ).

fof(f1041,plain,
    ( equalish(e_5,e_3)
    | ~ spl0_58 ),
    inference(resolution,[],[f391,f3]) ).

fof(f391,plain,
    ( ! [X0] :
        ( ~ next(e_2,X0)
        | equalish(e_5,X0) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f390,plain,
    ( spl0_58
  <=> ! [X0] :
        ( ~ next(e_2,X0)
        | equalish(e_5,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1040,plain,
    ( spl0_36
    | spl0_58
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f528,f201,f390,f287]) ).

fof(f287,plain,
    ( spl0_36
  <=> ! [X1] :
        ( ~ greater(X1,e_0)
        | ~ cycle(e_2,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f201,plain,
    ( spl0_17
  <=> product(e_2,e_1,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f528,plain,
    ( ! [X0,X1] :
        ( ~ next(e_2,X0)
        | ~ greater(X1,e_0)
        | equalish(e_5,X0)
        | ~ cycle(e_2,X1) )
    | ~ spl0_17 ),
    inference(resolution,[],[f203,f27]) ).

fof(f27,axiom,
    ! [X2,X0,X1,X6] :
      ( ~ product(X0,e_1,X2)
      | ~ next(X0,X6)
      | ~ greater(X1,e_0)
      | equalish(X2,X6)
      | ~ cycle(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',cycle7) ).

fof(f203,plain,
    ( product(e_2,e_1,e_5)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f1037,plain,
    ( ~ spl0_36
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1036]) ).

fof(f1036,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f1031,f7]) ).

fof(f1031,plain,
    ( ~ greater(e_2,e_0)
    | ~ spl0_36
    | ~ spl0_140 ),
    inference(resolution,[],[f966,f288]) ).

fof(f288,plain,
    ( ! [X1] :
        ( ~ cycle(e_2,X1)
        | ~ greater(X1,e_0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f966,plain,
    ( cycle(e_2,e_2)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f964]) ).

fof(f964,plain,
    ( spl0_140
  <=> cycle(e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1027,plain,
    ( ~ spl0_60
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f1026,f201,f406]) ).

fof(f1026,plain,
    ( ~ cycle(e_2,e_0)
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f529,f17]) ).

fof(f17,axiom,
    greater(e_5,e_2),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_5_greater_e_2) ).

fof(f529,plain,
    ( ~ greater(e_5,e_2)
    | ~ cycle(e_2,e_0)
    | ~ spl0_17 ),
    inference(resolution,[],[f203,f26]) ).

fof(f1016,plain,
    ( ~ spl0_36
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f1015]) ).

fof(f1015,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f1010,f6]) ).

fof(f1010,plain,
    ( ~ greater(e_1,e_0)
    | ~ spl0_36
    | ~ spl0_139 ),
    inference(resolution,[],[f962,f288]) ).

fof(f962,plain,
    ( cycle(e_2,e_1)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f960,plain,
    ( spl0_139
  <=> cycle(e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1004,plain,
    ( ~ spl0_36
    | ~ spl0_141 ),
    inference(avatar_contradiction_clause,[],[f1003]) ).

fof(f1003,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_141 ),
    inference(subsumption_resolution,[],[f998,f8]) ).

fof(f998,plain,
    ( ~ greater(e_3,e_0)
    | ~ spl0_36
    | ~ spl0_141 ),
    inference(resolution,[],[f970,f288]) ).

fof(f970,plain,
    ( cycle(e_2,e_3)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f968,plain,
    ( spl0_141
  <=> cycle(e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f971,plain,
    ( spl0_139
    | spl0_140
    | spl0_141
    | ~ spl0_36
    | spl0_60 ),
    inference(avatar_split_clause,[],[f958,f406,f287,f968,f964,f960]) ).

fof(f958,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | ~ spl0_36
    | spl0_60 ),
    inference(subsumption_resolution,[],[f957,f29]) ).

fof(f29,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',element_2) ).

fof(f957,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | ~ group_element(e_2)
    | ~ spl0_36
    | spl0_60 ),
    inference(subsumption_resolution,[],[f956,f408]) ).

fof(f408,plain,
    ( ~ cycle(e_2,e_0)
    | spl0_60 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f956,plain,
    ( cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_0)
    | ~ group_element(e_2)
    | ~ spl0_36 ),
    inference(subsumption_resolution,[],[f955,f9]) ).

fof(f955,plain,
    ( ~ greater(e_4,e_0)
    | cycle(e_2,e_3)
    | cycle(e_2,e_2)
    | cycle(e_2,e_1)
    | cycle(e_2,e_0)
    | ~ group_element(e_2)
    | ~ spl0_36 ),
    inference(resolution,[],[f288,f22]) ).

fof(f947,plain,
    ~ spl0_122,
    inference(avatar_contradiction_clause,[],[f946]) ).

fof(f946,plain,
    ( $false
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f945,f48]) ).

fof(f945,plain,
    ( equalish(e_4,e_5)
    | ~ spl0_122 ),
    inference(resolution,[],[f719,f73]) ).

fof(f719,plain,
    ( product(e_4,e_5,e_4)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f717,plain,
    ( spl0_122
  <=> product(e_4,e_5,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f940,plain,
    ~ spl0_123,
    inference(avatar_contradiction_clause,[],[f939]) ).

fof(f939,plain,
    ( $false
    | ~ spl0_123 ),
    inference(subsumption_resolution,[],[f938,f52]) ).

fof(f938,plain,
    ( equalish(e_5,e_4)
    | ~ spl0_123 ),
    inference(resolution,[],[f723,f75]) ).

fof(f723,plain,
    ( product(e_4,e_5,e_5)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f721,plain,
    ( spl0_123
  <=> product(e_4,e_5,e_5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f929,plain,
    ~ spl0_121,
    inference(avatar_contradiction_clause,[],[f928]) ).

fof(f928,plain,
    ( $false
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f927,f44]) ).

fof(f44,axiom,
    ~ equalish(e_3,e_5),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',e_3_is_not_e_5) ).

fof(f927,plain,
    ( equalish(e_3,e_5)
    | ~ spl0_121 ),
    inference(resolution,[],[f714,f73]) ).

fof(f714,plain,
    ( product(e_3,e_5,e_3)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f712,plain,
    ( spl0_121
  <=> product(e_3,e_5,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f888,plain,
    ~ spl0_89,
    inference(avatar_contradiction_clause,[],[f887]) ).

fof(f887,plain,
    ( $false
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f886,f46]) ).

fof(f886,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_89 ),
    inference(resolution,[],[f563,f75]) ).

fof(f563,plain,
    ( product(e_2,e_4,e_4)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f561,plain,
    ( spl0_89
  <=> product(e_2,e_4,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f877,plain,
    ~ spl0_84,
    inference(avatar_contradiction_clause,[],[f876]) ).

fof(f876,plain,
    ( $false
    | ~ spl0_84 ),
    inference(subsumption_resolution,[],[f875,f45]) ).

fof(f875,plain,
    ( equalish(e_4,e_1)
    | ~ spl0_84 ),
    inference(resolution,[],[f542,f75]) ).

fof(f542,plain,
    ( product(e_1,e_4,e_4)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f540,plain,
    ( spl0_84
  <=> product(e_1,e_4,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f862,plain,
    ~ spl0_72,
    inference(avatar_contradiction_clause,[],[f861]) ).

fof(f861,plain,
    ( $false
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f860,f47]) ).

fof(f860,plain,
    ( equalish(e_4,e_3)
    | ~ spl0_72 ),
    inference(resolution,[],[f466,f73]) ).

fof(f466,plain,
    ( product(e_4,e_3,e_4)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f464,plain,
    ( spl0_72
  <=> product(e_4,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f839,plain,
    ~ spl0_48,
    inference(avatar_contradiction_clause,[],[f838]) ).

fof(f838,plain,
    ( $false
    | ~ spl0_48 ),
    inference(subsumption_resolution,[],[f837,f46]) ).

fof(f837,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_48 ),
    inference(resolution,[],[f344,f73]) ).

fof(f344,plain,
    ( product(e_4,e_2,e_4)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f342,plain,
    ( spl0_48
  <=> product(e_4,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f817,plain,
    ~ spl0_33,
    inference(avatar_contradiction_clause,[],[f816]) ).

fof(f816,plain,
    ( $false
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f810,f36]) ).

fof(f810,plain,
    ( equalish(e_1,e_5)
    | ~ spl0_33 ),
    inference(resolution,[],[f270,f75]) ).

fof(f270,plain,
    ( product(e_5,e_1,e_1)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl0_33
  <=> product(e_5,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f761,plain,
    ~ spl0_26,
    inference(avatar_contradiction_clause,[],[f760]) ).

fof(f760,plain,
    ( $false
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f743,f45]) ).

fof(f743,plain,
    ( equalish(e_4,e_1)
    | ~ spl0_26 ),
    inference(resolution,[],[f241,f73]) ).

fof(f241,plain,
    ( product(e_4,e_1,e_4)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl0_26
  <=> product(e_4,e_1,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f736,plain,
    ( spl0_122
    | spl0_123
    | spl0_124
    | spl0_125
    | spl0_126 ),
    inference(avatar_split_clause,[],[f651,f733,f729,f725,f721,f717]) ).

fof(f651,plain,
    ( product(e_4,e_5,e_3)
    | product(e_4,e_5,e_2)
    | product(e_4,e_5,e_1)
    | product(e_4,e_5,e_5)
    | product(e_4,e_5,e_4) ),
    inference(resolution,[],[f156,f31]) ).

fof(f31,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',element_4) ).

fof(f156,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product(X0,e_5,e_3)
      | product(X0,e_5,e_2)
      | product(X0,e_5,e_1)
      | product(X0,e_5,e_5)
      | product(X0,e_5,e_4) ),
    inference(resolution,[],[f53,f32]) ).

fof(f32,axiom,
    group_element(e_5),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',element_5) ).

fof(f53,axiom,
    ! [X0,X1] :
      ( ~ group_element(X1)
      | product(X0,X1,e_4)
      | product(X0,X1,e_3)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | product(X0,X1,e_5)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',product_total_function1) ).

fof(f715,plain,
    ( spl0_117
    | spl0_118
    | spl0_119
    | spl0_120
    | spl0_121 ),
    inference(avatar_split_clause,[],[f650,f712,f708,f704,f700,f696]) ).

fof(f650,plain,
    ( product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_5)
    | product(e_3,e_5,e_4) ),
    inference(resolution,[],[f156,f30]) ).

fof(f694,plain,
    ( spl0_112
    | spl0_113
    | spl0_114
    | spl0_115
    | spl0_116 ),
    inference(avatar_split_clause,[],[f649,f691,f687,f683,f679,f675]) ).

fof(f649,plain,
    ( product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_5)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[],[f156,f29]) ).

fof(f673,plain,
    ( spl0_107
    | spl0_108
    | spl0_109
    | spl0_110
    | spl0_111 ),
    inference(avatar_split_clause,[],[f648,f670,f666,f662,f658,f654]) ).

fof(f648,plain,
    ( product(e_1,e_5,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_5)
    | product(e_1,e_5,e_4) ),
    inference(resolution,[],[f156,f28]) ).

fof(f28,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/tmp/tmp.4kBkBWKRpK/Vampire---4.8_15110',element_1) ).

fof(f646,plain,
    ( spl0_104
    | spl0_106
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f637,f222,f644,f630]) ).

fof(f637,plain,
    ( ! [X0,X1] :
        ( ~ next(e_3,X0)
        | ~ greater(X1,e_0)
        | equalish(e_5,X0)
        | ~ cycle(e_3,X1) )
    | ~ spl0_22 ),
    inference(resolution,[],[f224,f27]) ).

fof(f622,plain,
    ( spl0_99
    | spl0_100
    | spl0_101
    | spl0_102
    | spl0_103 ),
    inference(avatar_split_clause,[],[f538,f619,f615,f611,f607,f603]) ).

fof(f538,plain,
    ( product(e_5,e_4,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_1)
    | product(e_5,e_4,e_5)
    | product(e_5,e_4,e_4) ),
    inference(resolution,[],[f155,f32]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product(X0,e_4,e_3)
      | product(X0,e_4,e_2)
      | product(X0,e_4,e_1)
      | product(X0,e_4,e_5)
      | product(X0,e_4,e_4) ),
    inference(resolution,[],[f53,f31]) ).

fof(f580,plain,
    ( spl0_89
    | spl0_90
    | spl0_91
    | spl0_92
    | spl0_93 ),
    inference(avatar_split_clause,[],[f535,f577,f573,f569,f565,f561]) ).

fof(f535,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_4) ),
    inference(resolution,[],[f155,f29]) ).

fof(f559,plain,
    ( spl0_84
    | spl0_85
    | spl0_86
    | spl0_87
    | spl0_88 ),
    inference(avatar_split_clause,[],[f534,f556,f552,f548,f544,f540]) ).

fof(f534,plain,
    ( product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[],[f155,f28]) ).

fof(f517,plain,
    ~ spl0_19,
    inference(avatar_contradiction_clause,[],[f516]) ).

fof(f516,plain,
    ( $false
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f511,f37]) ).

fof(f511,plain,
    ( equalish(e_2,e_1)
    | ~ spl0_19 ),
    inference(resolution,[],[f211,f73]) ).

fof(f211,plain,
    ( product(e_2,e_1,e_2)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f209,plain,
    ( spl0_19
  <=> product(e_2,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f483,plain,
    ( spl0_72
    | spl0_73
    | spl0_74
    | spl0_75
    | spl0_76 ),
    inference(avatar_split_clause,[],[f419,f480,f476,f472,f468,f464]) ).

fof(f419,plain,
    ( product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_5)
    | product(e_4,e_3,e_4) ),
    inference(resolution,[],[f154,f31]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product(X0,e_3,e_3)
      | product(X0,e_3,e_2)
      | product(X0,e_3,e_1)
      | product(X0,e_3,e_5)
      | product(X0,e_3,e_4) ),
    inference(resolution,[],[f53,f30]) ).

fof(f462,plain,
    ( spl0_67
    | spl0_68
    | spl0_69
    | spl0_70
    | spl0_71 ),
    inference(avatar_split_clause,[],[f417,f459,f455,f451,f447,f443]) ).

fof(f417,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_5)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[],[f154,f29]) ).

fof(f441,plain,
    ( spl0_62
    | spl0_63
    | spl0_64
    | spl0_65
    | spl0_66 ),
    inference(avatar_split_clause,[],[f416,f438,f434,f430,f426,f422]) ).

fof(f416,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_5)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[],[f154,f28]) ).

fof(f415,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f414]) ).

fof(f414,plain,
    ( $false
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f400,f33]) ).

fof(f400,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_18 ),
    inference(resolution,[],[f207,f75]) ).

fof(f207,plain,
    ( product(e_2,e_1,e_1)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl0_18
  <=> product(e_2,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f382,plain,
    ( spl0_53
    | spl0_54
    | spl0_55
    | spl0_56
    | spl0_57 ),
    inference(avatar_split_clause,[],[f298,f379,f375,f371,f367,f363]) ).

fof(f298,plain,
    ( product(e_5,e_2,e_3)
    | product(e_5,e_2,e_2)
    | product(e_5,e_2,e_1)
    | product(e_5,e_2,e_5)
    | product(e_5,e_2,e_4) ),
    inference(resolution,[],[f153,f32]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product(X0,e_2,e_3)
      | product(X0,e_2,e_2)
      | product(X0,e_2,e_1)
      | product(X0,e_2,e_5)
      | product(X0,e_2,e_4) ),
    inference(resolution,[],[f53,f29]) ).

fof(f361,plain,
    ( spl0_48
    | spl0_49
    | spl0_50
    | spl0_51
    | spl0_52 ),
    inference(avatar_split_clause,[],[f297,f358,f354,f350,f346,f342]) ).

fof(f297,plain,
    ( product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_4) ),
    inference(resolution,[],[f153,f31]) ).

fof(f340,plain,
    ( spl0_43
    | spl0_44
    | spl0_45
    | spl0_46
    | spl0_47 ),
    inference(avatar_split_clause,[],[f296,f337,f333,f329,f325,f321]) ).

fof(f296,plain,
    ( product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | product(e_3,e_2,e_5)
    | product(e_3,e_2,e_4) ),
    inference(resolution,[],[f153,f30]) ).

fof(f319,plain,
    ( spl0_38
    | spl0_39
    | spl0_40
    | spl0_41
    | spl0_42 ),
    inference(avatar_split_clause,[],[f294,f316,f312,f308,f304,f300]) ).

fof(f294,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_5)
    | product(e_1,e_2,e_4) ),
    inference(resolution,[],[f153,f28]) ).

fof(f292,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f280,f197,f290,f287]) ).

fof(f280,plain,
    ( ! [X0,X1] :
        ( ~ next(e_2,X0)
        | ~ greater(X1,e_0)
        | equalish(e_4,X0)
        | ~ cycle(e_2,X1) )
    | ~ spl0_16 ),
    inference(resolution,[],[f199,f27]) ).

fof(f279,plain,
    ( spl0_31
    | spl0_32
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(avatar_split_clause,[],[f195,f276,f272,f268,f264,f260]) ).

fof(f195,plain,
    ( product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_1)
    | product(e_5,e_1,e_5)
    | product(e_5,e_1,e_4) ),
    inference(resolution,[],[f152,f32]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product(X0,e_1,e_3)
      | product(X0,e_1,e_2)
      | product(X0,e_1,e_1)
      | product(X0,e_1,e_5)
      | product(X0,e_1,e_4) ),
    inference(resolution,[],[f53,f28]) ).

fof(f258,plain,
    ( spl0_26
    | spl0_27
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f194,f255,f251,f247,f243,f239]) ).

fof(f194,plain,
    ( product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_5)
    | product(e_4,e_1,e_4) ),
    inference(resolution,[],[f152,f31]) ).

fof(f237,plain,
    ( spl0_21
    | spl0_22
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f193,f234,f230,f226,f222,f218]) ).

fof(f193,plain,
    ( product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4) ),
    inference(resolution,[],[f152,f30]) ).

fof(f216,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f192,f213,f209,f205,f201,f197]) ).

fof(f192,plain,
    ( product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4) ),
    inference(resolution,[],[f152,f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : GRP125-3.005 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n009.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 20:41:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.16/0.37  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.4kBkBWKRpK/Vampire---4.8_15110
% 0.59/0.75  % (15507)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)
% 0.59/0.75  % (15507)Refutation not found, incomplete strategy% (15507)------------------------------
% 0.59/0.75  % (15507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (15507)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (15507)Memory used [KB]: 960
% 0.59/0.75  % (15507)Time elapsed: 0.001 s
% 0.59/0.75  % (15507)Instructions burned: 2 (million)
% 0.59/0.75  % (15507)------------------------------
% 0.59/0.75  % (15507)------------------------------
% 0.59/0.75  % (15500)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)
% 0.59/0.75  % (15502)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (15503)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)
% 0.59/0.75  % (15504)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)
% 0.59/0.75  % (15505)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)
% 0.59/0.75  % (15501)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)
% 0.59/0.75  % (15506)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)
% 0.59/0.75  % (15500)Refutation not found, incomplete strategy% (15500)------------------------------
% 0.59/0.75  % (15500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (15500)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (15500)Memory used [KB]: 972
% 0.59/0.75  % (15500)Time elapsed: 0.002 s
% 0.59/0.75  % (15500)Instructions burned: 2 (million)
% 0.59/0.75  % (15505)Refutation not found, incomplete strategy% (15505)------------------------------
% 0.59/0.75  % (15505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (15505)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (15505)Memory used [KB]: 960
% 0.59/0.75  % (15503)Refutation not found, incomplete strategy% (15503)------------------------------
% 0.59/0.75  % (15503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (15503)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (15503)Memory used [KB]: 976
% 0.59/0.75  % (15503)Time elapsed: 0.002 s
% 0.59/0.75  % (15503)Instructions burned: 2 (million)
% 0.59/0.75  % (15505)Time elapsed: 0.002 s
% 0.59/0.75  % (15505)Instructions burned: 2 (million)
% 0.59/0.75  % (15500)------------------------------
% 0.59/0.75  % (15500)------------------------------
% 0.59/0.75  % (15503)------------------------------
% 0.59/0.75  % (15503)------------------------------
% 0.59/0.75  % (15505)------------------------------
% 0.59/0.75  % (15505)------------------------------
% 0.59/0.75  % (15510)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)
% 0.59/0.76  % (15510)Refutation not found, incomplete strategy% (15510)------------------------------
% 0.59/0.76  % (15510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (15510)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (15510)Memory used [KB]: 1063
% 0.59/0.76  % (15510)Time elapsed: 0.003 s
% 0.59/0.76  % (15510)Instructions burned: 10 (million)
% 0.59/0.76  % (15510)------------------------------
% 0.59/0.76  % (15510)------------------------------
% 0.59/0.76  % (15514)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)
% 0.59/0.76  % (15513)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)
% 0.59/0.76  % (15515)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)
% 0.59/0.76  % (15514)Refutation not found, incomplete strategy% (15514)------------------------------
% 0.59/0.76  % (15514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (15514)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (15514)Memory used [KB]: 976
% 0.59/0.76  % (15514)Time elapsed: 0.003 s
% 0.59/0.76  % (15514)Instructions burned: 2 (million)
% 0.59/0.76  % (15514)------------------------------
% 0.59/0.76  % (15514)------------------------------
% 0.59/0.76  % (15518)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)
% 0.59/0.76  % (15520)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)
% 0.59/0.77  % (15504)Instruction limit reached!
% 0.59/0.77  % (15504)------------------------------
% 0.59/0.77  % (15504)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (15504)Termination reason: Unknown
% 0.59/0.77  % (15504)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (15504)Memory used [KB]: 1180
% 0.59/0.77  % (15504)Time elapsed: 0.016 s
% 0.59/0.77  % (15504)Instructions burned: 34 (million)
% 0.59/0.77  % (15504)------------------------------
% 0.59/0.77  % (15504)------------------------------
% 0.59/0.77  % (15526)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)
% 0.59/0.78  % (15513)Instruction limit reached!
% 0.59/0.78  % (15513)------------------------------
% 0.59/0.78  % (15513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (15513)Termination reason: Unknown
% 0.59/0.78  % (15513)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (15513)Memory used [KB]: 1282
% 0.59/0.78  % (15513)Time elapsed: 0.024 s
% 0.59/0.78  % (15513)Instructions burned: 52 (million)
% 0.59/0.78  % (15513)------------------------------
% 0.59/0.78  % (15513)------------------------------
% 0.59/0.78  % (15528)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 (2995ds/117Mi)
% 0.59/0.78  % (15515)Instruction limit reached!
% 0.59/0.78  % (15515)------------------------------
% 0.59/0.78  % (15515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (15515)Termination reason: Unknown
% 0.59/0.78  % (15515)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (15515)Memory used [KB]: 1453
% 0.59/0.78  % (15515)Time elapsed: 0.028 s
% 0.59/0.78  % (15515)Instructions burned: 53 (million)
% 0.59/0.78  % (15515)------------------------------
% 0.59/0.78  % (15515)------------------------------
% 0.59/0.79  % (15501)Instruction limit reached!
% 0.59/0.79  % (15501)------------------------------
% 0.59/0.79  % (15501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (15520)Instruction limit reached!
% 0.59/0.79  % (15520)------------------------------
% 0.59/0.79  % (15520)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (15520)Termination reason: Unknown
% 0.59/0.79  % (15520)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (15520)Memory used [KB]: 1502
% 0.59/0.79  % (15520)Time elapsed: 0.026 s
% 0.59/0.79  % (15520)Instructions burned: 43 (million)
% 0.59/0.79  % (15520)------------------------------
% 0.59/0.79  % (15520)------------------------------
% 0.59/0.79  % (15501)Termination reason: Unknown
% 0.59/0.79  % (15501)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (15501)Memory used [KB]: 1795
% 0.59/0.79  % (15501)Time elapsed: 0.037 s
% 0.59/0.79  % (15501)Instructions burned: 52 (million)
% 0.59/0.79  % (15501)------------------------------
% 0.59/0.79  % (15501)------------------------------
% 0.59/0.79  % (15531)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 (2995ds/143Mi)
% 0.59/0.79  % (15502)Instruction limit reached!
% 0.59/0.79  % (15502)------------------------------
% 0.59/0.79  % (15502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (15502)Termination reason: Unknown
% 0.59/0.79  % (15502)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (15502)Memory used [KB]: 1490
% 0.59/0.79  % (15502)Time elapsed: 0.040 s
% 0.59/0.79  % (15502)Instructions burned: 79 (million)
% 0.59/0.79  % (15502)------------------------------
% 0.59/0.79  % (15502)------------------------------
% 0.59/0.79  % (15534)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 (2995ds/93Mi)
% 0.81/0.79  % (15535)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 (2995ds/62Mi)
% 0.81/0.80  % (15537)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 (2995ds/32Mi)
% 0.81/0.80  % (15506)Instruction limit reached!
% 0.81/0.80  % (15506)------------------------------
% 0.81/0.80  % (15506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.80  % (15506)Termination reason: Unknown
% 0.81/0.80  % (15506)Termination phase: Saturation
% 0.81/0.80  
% 0.81/0.80  % (15506)Memory used [KB]: 1946
% 0.81/0.80  % (15506)Time elapsed: 0.047 s
% 0.81/0.80  % (15506)Instructions burned: 84 (million)
% 0.81/0.80  % (15506)------------------------------
% 0.81/0.80  % (15506)------------------------------
% 0.81/0.81  % (15540)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 (2995ds/1919Mi)
% 0.81/0.81  % (15537)Instruction limit reached!
% 0.81/0.81  % (15537)------------------------------
% 0.81/0.81  % (15537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.81  % (15537)Termination reason: Unknown
% 0.81/0.81  % (15537)Termination phase: Saturation
% 0.81/0.81  
% 0.81/0.81  % (15537)Memory used [KB]: 1408
% 0.81/0.81  % (15537)Time elapsed: 0.020 s
% 0.81/0.81  % (15537)Instructions burned: 32 (million)
% 0.81/0.81  % (15537)------------------------------
% 0.81/0.81  % (15537)------------------------------
% 0.81/0.82  % (15546)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 (2995ds/55Mi)
% 0.81/0.82  % (15546)Refutation not found, incomplete strategy% (15546)------------------------------
% 0.81/0.82  % (15546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.82  % (15546)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.82  
% 0.81/0.82  % (15546)Memory used [KB]: 967
% 0.81/0.82  % (15546)Time elapsed: 0.003 s
% 0.81/0.82  % (15546)Instructions burned: 3 (million)
% 0.81/0.82  % (15546)------------------------------
% 0.81/0.82  % (15546)------------------------------
% 0.81/0.82  % (15535)Instruction limit reached!
% 0.81/0.82  % (15535)------------------------------
% 0.81/0.82  % (15535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.82  % (15535)Termination reason: Unknown
% 0.81/0.82  % (15535)Termination phase: Saturation
% 0.81/0.82  
% 0.81/0.82  % (15535)Memory used [KB]: 1302
% 0.81/0.82  % (15535)Time elapsed: 0.031 s
% 0.81/0.82  % (15535)Instructions burned: 63 (million)
% 0.81/0.82  % (15535)------------------------------
% 0.81/0.82  % (15535)------------------------------
% 0.81/0.82  % (15551)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 (2995ds/53Mi)
% 0.81/0.82  % (15551)Refutation not found, incomplete strategy% (15551)------------------------------
% 0.81/0.82  % (15551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.82  % (15551)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.82  
% 0.81/0.82  % (15551)Memory used [KB]: 963
% 0.81/0.82  % (15551)Time elapsed: 0.003 s
% 0.81/0.82  % (15551)Instructions burned: 2 (million)
% 0.81/0.83  % (15551)------------------------------
% 0.81/0.83  % (15551)------------------------------
% 0.81/0.83  % (15552)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 (2995ds/46Mi)
% 0.81/0.83  % (15553)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 (2995ds/102Mi)
% 0.81/0.83  % (15553)Refutation not found, incomplete strategy% (15553)------------------------------
% 0.81/0.83  % (15553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.83  % (15553)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.83  
% 0.81/0.83  % (15553)Memory used [KB]: 978
% 0.81/0.83  % (15553)Time elapsed: 0.002 s
% 0.81/0.83  % (15553)Instructions burned: 2 (million)
% 0.81/0.83  % (15553)------------------------------
% 0.81/0.83  % (15553)------------------------------
% 0.81/0.83  % (15554)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 (2995ds/35Mi)
% 0.81/0.84  % (15534)Instruction limit reached!
% 0.81/0.84  % (15534)------------------------------
% 0.81/0.84  % (15534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.84  % (15534)Termination reason: Unknown
% 0.81/0.84  % (15534)Termination phase: Saturation
% 0.81/0.84  
% 0.81/0.84  % (15534)Memory used [KB]: 1290
% 0.81/0.84  % (15534)Time elapsed: 0.046 s
% 0.81/0.84  % (15534)Instructions burned: 94 (million)
% 0.81/0.84  % (15534)------------------------------
% 0.81/0.84  % (15534)------------------------------
% 0.81/0.84  % (15554)Refutation not found, incomplete strategy% (15554)------------------------------
% 0.81/0.84  % (15554)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.84  % (15554)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.84  
% 0.81/0.84  % (15554)Memory used [KB]: 978
% 0.81/0.84  % (15554)Time elapsed: 0.003 s
% 0.81/0.84  % (15554)Instructions burned: 2 (million)
% 0.81/0.84  % (15554)------------------------------
% 0.81/0.84  % (15554)------------------------------
% 0.81/0.84  % (15555)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.81/0.84  % (15556)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 (2995ds/109Mi)
% 0.81/0.84  % (15528)First to succeed.
% 0.81/0.85  % (15552)Instruction limit reached!
% 0.81/0.85  % (15552)------------------------------
% 0.81/0.85  % (15552)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.85  % (15552)Termination reason: Unknown
% 0.81/0.85  % (15552)Termination phase: Saturation
% 0.81/0.85  
% 0.81/0.85  % (15552)Memory used [KB]: 1156
% 0.81/0.85  % (15552)Time elapsed: 0.023 s
% 0.81/0.85  % (15552)Instructions burned: 47 (million)
% 0.81/0.85  % (15552)------------------------------
% 0.81/0.85  % (15552)------------------------------
% 0.81/0.85  % (15528)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15357"
% 0.81/0.85  % (15528)Refutation found. Thanks to Tanya!
% 0.81/0.85  % SZS status Unsatisfiable for Vampire---4
% 0.81/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.81/0.86  % (15528)------------------------------
% 0.81/0.86  % (15528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.86  % (15528)Termination reason: Refutation
% 0.81/0.86  
% 0.81/0.86  % (15528)Memory used [KB]: 1625
% 0.81/0.86  % (15528)Time elapsed: 0.068 s
% 0.81/0.86  % (15528)Instructions burned: 115 (million)
% 0.81/0.86  % (15357)Success in time 0.467 s
% 0.81/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------