TSTP Solution File: GRP126-1.004 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP126-1.004 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 05:46:07 EDT 2024

% Result   : Unsatisfiable 0.65s 0.81s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  204 (  29 unt;   0 def)
%            Number of atoms       :  643 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  692 ( 253   ~; 413   |;   0   &)
%                                         (  26 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   30 (  29 usr;  27 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1765,plain,
    $false,
    inference(avatar_sat_refutation,[],[f79,f108,f153,f411,f495,f553,f598,f652,f699,f706,f763,f803,f808,f821,f872,f915,f973,f1041,f1045,f1122,f1170,f1232,f1289,f1447,f1465,f1503,f1508,f1634,f1639,f1696,f1707,f1758]) ).

fof(f1758,plain,
    ~ spl0_19,
    inference(avatar_contradiction_clause,[],[f1757]) ).

fof(f1757,plain,
    ( $false
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f1717,f21]) ).

fof(f21,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',product_idempotence) ).

fof(f1717,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ spl0_19 ),
    inference(unit_resulting_resolution,[],[f9,f225,f19]) ).

fof(f19,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X2,X1)
      | ~ product(X0,X3,X1)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',product_right_cancellation) ).

fof(f225,plain,
    ( product(e_3,e_2,e_3)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl0_19
  <=> product(e_3,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f9,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',e_2_is_not_e_3) ).

fof(f1707,plain,
    ( spl0_19
    | spl0_21
    | spl0_11
    | spl0_17
    | spl0_18
    | spl0_20
    | spl0_22 ),
    inference(avatar_split_clause,[],[f1706,f285,f227,f219,f215,f93,f231,f223]) ).

fof(f231,plain,
    ( spl0_21
  <=> product(e_2,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f93,plain,
    ( spl0_11
  <=> product(e_4,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f215,plain,
    ( spl0_17
  <=> product(e_3,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f219,plain,
    ( spl0_18
  <=> product(e_3,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f227,plain,
    ( spl0_20
  <=> product(e_2,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f285,plain,
    ( spl0_22
  <=> product(e_2,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1706,plain,
    ( product(e_2,e_3,e_2)
    | product(e_3,e_2,e_3)
    | spl0_11
    | spl0_17
    | spl0_18
    | spl0_20
    | spl0_22 ),
    inference(subsumption_resolution,[],[f1705,f216]) ).

fof(f216,plain,
    ( ~ product(e_3,e_2,e_1)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f1705,plain,
    ( product(e_2,e_3,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_1)
    | spl0_11
    | spl0_18
    | spl0_20
    | spl0_22 ),
    inference(subsumption_resolution,[],[f1704,f220]) ).

fof(f220,plain,
    ( ~ product(e_3,e_2,e_2)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f1704,plain,
    ( product(e_2,e_3,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | spl0_11
    | spl0_20
    | spl0_22 ),
    inference(subsumption_resolution,[],[f1703,f94]) ).

fof(f94,plain,
    ( ~ product(e_4,e_4,e_3)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f1703,plain,
    ( product(e_2,e_3,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | spl0_20
    | spl0_22 ),
    inference(subsumption_resolution,[],[f1702,f286]) ).

fof(f286,plain,
    ( ~ product(e_2,e_3,e_3)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f1702,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | spl0_20 ),
    inference(subsumption_resolution,[],[f210,f228]) ).

fof(f228,plain,
    ( ~ product(e_2,e_3,e_1)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f210,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1) ),
    inference(resolution,[],[f43,f3]) ).

fof(f3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',element_3) ).

fof(f43,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product(e_2,X0,e_2)
      | product(e_2,X0,e_1)
      | product(e_2,X0,e_3)
      | product(e_4,e_4,X0)
      | product(X0,e_2,e_3)
      | product(X0,e_2,e_2)
      | product(X0,e_2,e_1) ),
    inference(resolution,[],[f32,f2]) ).

fof(f2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',element_2) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ group_element(X1)
      | product(X1,X0,e_3)
      | product(X1,X0,e_2)
      | product(X1,X0,e_1)
      | ~ group_element(X0)
      | product(e_4,e_4,X0)
      | product(X0,X1,e_3)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( product(e_4,e_4,X0)
      | product(X1,X0,e_3)
      | product(X1,X0,e_2)
      | product(X1,X0,e_1)
      | ~ group_element(X0)
      | ~ group_element(X1)
      | product(X0,X1,e_3)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    inference(resolution,[],[f25,f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( product(X0,X1,e_4)
      | product(X0,X1,e_3)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',product_total_function1) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | product(e_4,X2,X0)
      | product(X1,X0,e_3)
      | product(X1,X0,e_2)
      | product(X1,X0,e_1)
      | ~ group_element(X0)
      | ~ group_element(X1) ),
    inference(resolution,[],[f22,f17]) ).

fof(f22,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X1,X4)
      | ~ product(X1,X0,X5)
      | product(X4,X5,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',qg4) ).

fof(f1696,plain,
    ~ spl0_21,
    inference(avatar_contradiction_clause,[],[f1695]) ).

fof(f1695,plain,
    ( $false
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f1654,f21]) ).

fof(f1654,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_21 ),
    inference(unit_resulting_resolution,[],[f12,f233,f19]) ).

fof(f233,plain,
    ( product(e_2,e_3,e_2)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f12,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',e_3_is_not_e_2) ).

fof(f1639,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_17
    | spl0_22
    | spl0_27 ),
    inference(avatar_split_clause,[],[f1638,f321,f285,f215,f231,f227]) ).

fof(f321,plain,
    ( spl0_27
  <=> product(e_4,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1638,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ spl0_17
    | spl0_22
    | spl0_27 ),
    inference(subsumption_resolution,[],[f1637,f2]) ).

fof(f1637,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ group_element(e_2)
    | ~ spl0_17
    | spl0_22
    | spl0_27 ),
    inference(subsumption_resolution,[],[f1636,f3]) ).

fof(f1636,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_2)
    | ~ spl0_17
    | spl0_22
    | spl0_27 ),
    inference(subsumption_resolution,[],[f1635,f286]) ).

fof(f1635,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_2)
    | ~ spl0_17
    | spl0_27 ),
    inference(subsumption_resolution,[],[f1590,f322]) ).

fof(f322,plain,
    ( ~ product(e_4,e_1,e_3)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f1590,plain,
    ( product(e_4,e_1,e_3)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_2)
    | ~ spl0_17 ),
    inference(resolution,[],[f217,f25]) ).

fof(f217,plain,
    ( product(e_3,e_2,e_1)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f1634,plain,
    ( spl0_8
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1633]) ).

fof(f1633,plain,
    ( $false
    | spl0_8
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f1623,f666]) ).

fof(f666,plain,
    ( ~ product(e_1,e_1,e_3)
    | spl0_8 ),
    inference(unit_resulting_resolution,[],[f21,f82,f22]) ).

fof(f82,plain,
    ( ~ product(e_3,e_1,e_1)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl0_8
  <=> product(e_3,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1623,plain,
    ( product(e_1,e_1,e_3)
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(unit_resulting_resolution,[],[f217,f229,f22]) ).

fof(f229,plain,
    ( product(e_2,e_3,e_1)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f1508,plain,
    ( spl0_5
    | spl0_16
    | ~ spl0_3
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f1507,f76,f72,f60,f203,f68]) ).

fof(f68,plain,
    ( spl0_5
  <=> product(e_1,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f203,plain,
    ( spl0_16
  <=> product(e_4,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f60,plain,
    ( spl0_3
  <=> product(e_2,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f72,plain,
    ( spl0_6
  <=> product(e_1,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f76,plain,
    ( spl0_7
  <=> product(e_1,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1507,plain,
    ( product(e_4,e_3,e_2)
    | product(e_1,e_2,e_3)
    | ~ spl0_3
    | spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1506,f1]) ).

fof(f1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',element_1) ).

fof(f1506,plain,
    ( product(e_4,e_3,e_2)
    | product(e_1,e_2,e_3)
    | ~ group_element(e_1)
    | ~ spl0_3
    | spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1505,f2]) ).

fof(f1505,plain,
    ( product(e_4,e_3,e_2)
    | product(e_1,e_2,e_3)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | ~ spl0_3
    | spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1504,f73]) ).

fof(f73,plain,
    ( ~ product(e_1,e_2,e_1)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f1504,plain,
    ( product(e_4,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | ~ spl0_3
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1495,f77]) ).

fof(f77,plain,
    ( ~ product(e_1,e_2,e_2)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f1495,plain,
    ( product(e_4,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | ~ spl0_3 ),
    inference(resolution,[],[f62,f25]) ).

fof(f62,plain,
    ( product(e_2,e_1,e_3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f1503,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1502]) ).

fof(f1502,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1492,f877]) ).

fof(f877,plain,
    ( ~ product(e_3,e_3,e_1)
    | spl0_10 ),
    inference(unit_resulting_resolution,[],[f90,f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ product(X0,X0,X1)
      | product(X0,X1,X0) ),
    inference(resolution,[],[f22,f21]) ).

fof(f90,plain,
    ( ~ product(e_3,e_1,e_3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl0_10
  <=> product(e_3,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1492,plain,
    ( product(e_3,e_3,e_1)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(unit_resulting_resolution,[],[f70,f62,f22]) ).

fof(f70,plain,
    ( product(e_1,e_2,e_3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f1465,plain,
    ( spl0_3
    | spl0_23
    | spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1464,f68,f56,f52,f294,f60]) ).

fof(f294,plain,
    ( spl0_23
  <=> product(e_4,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f52,plain,
    ( spl0_1
  <=> product(e_2,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f56,plain,
    ( spl0_2
  <=> product(e_2,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1464,plain,
    ( product(e_4,e_3,e_1)
    | product(e_2,e_1,e_3)
    | spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1463,f2]) ).

fof(f1463,plain,
    ( product(e_4,e_3,e_1)
    | product(e_2,e_1,e_3)
    | ~ group_element(e_2)
    | spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1462,f1]) ).

fof(f1462,plain,
    ( product(e_4,e_3,e_1)
    | product(e_2,e_1,e_3)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1461,f53]) ).

fof(f53,plain,
    ( ~ product(e_2,e_1,e_1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f1461,plain,
    ( product(e_4,e_3,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1342,f57]) ).

fof(f57,plain,
    ( ~ product(e_2,e_1,e_2)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f1342,plain,
    ( product(e_4,e_3,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | ~ spl0_5 ),
    inference(resolution,[],[f70,f25]) ).

fof(f1447,plain,
    ~ spl0_22,
    inference(avatar_contradiction_clause,[],[f1446]) ).

fof(f1446,plain,
    ( $false
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f1414,f21]) ).

fof(f1414,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ spl0_22 ),
    inference(unit_resulting_resolution,[],[f9,f287,f20]) ).

fof(f20,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X2,X1,X0)
      | ~ product(X3,X1,X0)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',product_left_cancellation) ).

fof(f287,plain,
    ( product(e_2,e_3,e_3)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f1289,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f1288]) ).

fof(f1288,plain,
    ( $false
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1258,f21]) ).

fof(f1258,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f6,f99,f20]) ).

fof(f99,plain,
    ( product(e_1,e_3,e_3)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl0_12
  <=> product(e_1,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f6,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',e_1_is_not_e_3) ).

fof(f1232,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f1231]) ).

fof(f1231,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1188,f21]) ).

fof(f1188,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f11,f103,f19]) ).

fof(f103,plain,
    ( product(e_1,e_3,e_1)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_13
  <=> product(e_1,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f11,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',e_3_is_not_e_1) ).

fof(f1170,plain,
    ( ~ spl0_27
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1156,f60,f321]) ).

fof(f1156,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f10,f62,f20]) ).

fof(f10,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',e_2_is_not_e_4) ).

fof(f1122,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f1121]) ).

fof(f1121,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1075,f21]) ).

fof(f1075,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_6 ),
    inference(unit_resulting_resolution,[],[f8,f74,f19]) ).

fof(f74,plain,
    ( product(e_1,e_2,e_1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f8,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',e_2_is_not_e_1) ).

fof(f1045,plain,
    ( ~ spl0_23
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1006,f227,f294]) ).

fof(f1006,plain,
    ( ~ product(e_4,e_3,e_1)
    | ~ spl0_20 ),
    inference(unit_resulting_resolution,[],[f15,f229,f20]) ).

fof(f15,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',e_4_is_not_e_2) ).

fof(f1041,plain,
    ( spl0_19
    | spl0_17
    | spl0_18
    | ~ spl0_20
    | spl0_29 ),
    inference(avatar_split_clause,[],[f1040,f329,f227,f219,f215,f223]) ).

fof(f329,plain,
    ( spl0_29
  <=> product(e_4,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1040,plain,
    ( product(e_3,e_2,e_3)
    | spl0_17
    | spl0_18
    | ~ spl0_20
    | spl0_29 ),
    inference(subsumption_resolution,[],[f1039,f3]) ).

fof(f1039,plain,
    ( product(e_3,e_2,e_3)
    | ~ group_element(e_3)
    | spl0_17
    | spl0_18
    | ~ spl0_20
    | spl0_29 ),
    inference(subsumption_resolution,[],[f1038,f2]) ).

fof(f1038,plain,
    ( product(e_3,e_2,e_3)
    | ~ group_element(e_2)
    | ~ group_element(e_3)
    | spl0_17
    | spl0_18
    | ~ spl0_20
    | spl0_29 ),
    inference(subsumption_resolution,[],[f1037,f216]) ).

fof(f1037,plain,
    ( product(e_3,e_2,e_3)
    | product(e_3,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_3)
    | spl0_18
    | ~ spl0_20
    | spl0_29 ),
    inference(subsumption_resolution,[],[f1028,f220]) ).

fof(f1028,plain,
    ( product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_3)
    | ~ spl0_20
    | spl0_29 ),
    inference(subsumption_resolution,[],[f1013,f330]) ).

fof(f330,plain,
    ( ~ product(e_4,e_1,e_2)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f1013,plain,
    ( product(e_4,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_3)
    | ~ spl0_20 ),
    inference(resolution,[],[f229,f25]) ).

fof(f973,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f972]) ).

fof(f972,plain,
    ( $false
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f942,f21]) ).

fof(f942,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f12,f221,f20]) ).

fof(f221,plain,
    ( product(e_3,e_2,e_2)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f915,plain,
    ( ~ spl0_17
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f914]) ).

fof(f914,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f897,f349]) ).

fof(f349,plain,
    ( product(e_4,e_2,e_1)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f347,plain,
    ( spl0_33
  <=> product(e_4,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f897,plain,
    ( ~ product(e_4,e_2,e_1)
    | ~ spl0_17 ),
    inference(unit_resulting_resolution,[],[f13,f217,f20]) ).

fof(f13,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',e_3_is_not_e_4) ).

fof(f872,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f871]) ).

fof(f871,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f832,f21]) ).

fof(f832,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f6,f91,f19]) ).

fof(f91,plain,
    ( product(e_3,e_1,e_3)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f821,plain,
    ( spl0_10
    | spl0_33
    | spl0_8
    | spl0_9
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f820,f105,f85,f81,f347,f89]) ).

fof(f85,plain,
    ( spl0_9
  <=> product(e_3,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f105,plain,
    ( spl0_14
  <=> product(e_1,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f820,plain,
    ( product(e_4,e_2,e_1)
    | product(e_3,e_1,e_3)
    | spl0_8
    | spl0_9
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f819,f3]) ).

fof(f819,plain,
    ( product(e_4,e_2,e_1)
    | product(e_3,e_1,e_3)
    | ~ group_element(e_3)
    | spl0_8
    | spl0_9
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f818,f1]) ).

fof(f818,plain,
    ( product(e_4,e_2,e_1)
    | product(e_3,e_1,e_3)
    | ~ group_element(e_1)
    | ~ group_element(e_3)
    | spl0_8
    | spl0_9
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f817,f82]) ).

fof(f817,plain,
    ( product(e_4,e_2,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_3)
    | spl0_9
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f797,f86]) ).

fof(f86,plain,
    ( ~ product(e_3,e_1,e_2)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f797,plain,
    ( product(e_4,e_2,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_3)
    | ~ spl0_14 ),
    inference(resolution,[],[f107,f25]) ).

fof(f107,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f808,plain,
    ( ~ spl0_16
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f787,f105,f203]) ).

fof(f787,plain,
    ( ~ product(e_4,e_3,e_2)
    | ~ spl0_14 ),
    inference(unit_resulting_resolution,[],[f7,f107,f20]) ).

fof(f7,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',e_1_is_not_e_4) ).

fof(f803,plain,
    ( spl0_2
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f802]) ).

fof(f802,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f796,f166]) ).

fof(f166,plain,
    ( ~ product(e_2,e_2,e_1)
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f21,f57,f22]) ).

fof(f796,plain,
    ( product(e_2,e_2,e_1)
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(unit_resulting_resolution,[],[f87,f107,f22]) ).

fof(f87,plain,
    ( product(e_3,e_1,e_2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f763,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f762]) ).

fof(f762,plain,
    ( $false
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f711,f21]) ).

fof(f711,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ spl0_11 ),
    inference(unit_resulting_resolution,[],[f13,f95,f18]) ).

fof(f18,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X1,X3)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',product_total_function2) ).

fof(f95,plain,
    ( product(e_4,e_4,e_3)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f706,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_9
    | spl0_12
    | spl0_34 ),
    inference(avatar_split_clause,[],[f705,f352,f97,f85,f105,f101]) ).

fof(f352,plain,
    ( spl0_34
  <=> product(e_4,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f705,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ spl0_9
    | spl0_12
    | spl0_34 ),
    inference(subsumption_resolution,[],[f704,f1]) ).

fof(f704,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_1)
    | ~ spl0_9
    | spl0_12
    | spl0_34 ),
    inference(subsumption_resolution,[],[f703,f3]) ).

fof(f703,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | ~ spl0_9
    | spl0_12
    | spl0_34 ),
    inference(subsumption_resolution,[],[f702,f98]) ).

fof(f98,plain,
    ( ~ product(e_1,e_3,e_3)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f702,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | ~ spl0_9
    | spl0_34 ),
    inference(subsumption_resolution,[],[f692,f353]) ).

fof(f353,plain,
    ( ~ product(e_4,e_2,e_3)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f692,plain,
    ( product(e_4,e_2,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | ~ spl0_9 ),
    inference(resolution,[],[f87,f25]) ).

fof(f699,plain,
    ( ~ spl0_29
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f685,f85,f329]) ).

fof(f685,plain,
    ( ~ product(e_4,e_1,e_2)
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f13,f87,f20]) ).

fof(f652,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f651]) ).

fof(f651,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f620,f21]) ).

fof(f620,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f11,f83,f20]) ).

fof(f83,plain,
    ( product(e_3,e_1,e_1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f598,plain,
    ( ~ spl0_34
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f585,f68,f352]) ).

fof(f585,plain,
    ( ~ product(e_4,e_2,e_3)
    | ~ spl0_5 ),
    inference(unit_resulting_resolution,[],[f7,f70,f20]) ).

fof(f553,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f552]) ).

fof(f552,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f517,f21]) ).

fof(f517,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_7 ),
    inference(unit_resulting_resolution,[],[f5,f78,f20]) ).

fof(f78,plain,
    ( product(e_1,e_2,e_2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f5,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656',e_1_is_not_e_2) ).

fof(f495,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f494]) ).

fof(f494,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f435,f21]) ).

fof(f435,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ spl0_4 ),
    inference(unit_resulting_resolution,[],[f10,f66,f18]) ).

fof(f66,plain,
    ( product(e_4,e_4,e_2)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl0_4
  <=> product(e_4,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f411,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f410]) ).

fof(f410,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f377,f21]) ).

fof(f377,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f8,f54,f20]) ).

fof(f54,plain,
    ( product(e_2,e_1,e_1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f153,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f152]) ).

fof(f152,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f117,f21]) ).

fof(f117,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f5,f58,f19]) ).

fof(f58,plain,
    ( product(e_2,e_1,e_2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f108,plain,
    ( spl0_8
    | spl0_9
    | spl0_10
    | spl0_11
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f48,f105,f101,f97,f93,f89,f85,f81]) ).

fof(f48,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolution,[],[f42,f3]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product(e_1,X0,e_2)
      | product(e_1,X0,e_1)
      | product(e_1,X0,e_3)
      | product(e_4,e_4,X0)
      | product(X0,e_1,e_3)
      | product(X0,e_1,e_2)
      | product(X0,e_1,e_1) ),
    inference(resolution,[],[f32,f1]) ).

fof(f79,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f47,f76,f72,f68,f64,f60,f56,f52]) ).

fof(f47,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_3)
    | product(e_4,e_4,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolution,[],[f42,f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GRP126-1.004 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:38:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.5eNClJEsNj/Vampire---4.8_6656
% 0.57/0.78  % (6873)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 (2995ds/56Mi)
% 0.57/0.78  % (6872)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 (2995ds/83Mi)
% 0.57/0.78  % (6873)Refutation not found, incomplete strategy% (6873)------------------------------
% 0.57/0.78  % (6873)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (6873)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (6873)Memory used [KB]: 950
% 0.57/0.78  % (6873)Time elapsed: 0.002 s
% 0.57/0.78  % (6873)Instructions burned: 2 (million)
% 0.57/0.78  % (6873)------------------------------
% 0.57/0.78  % (6873)------------------------------
% 0.57/0.78  % (6866)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 (2995ds/34Mi)
% 0.57/0.78  % (6869)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.57/0.78  % (6867)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 (2995ds/51Mi)
% 0.57/0.78  % (6868)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.78  % (6870)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 (2995ds/34Mi)
% 0.57/0.78  % (6871)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.57/0.78  % (6866)Refutation not found, incomplete strategy% (6866)------------------------------
% 0.57/0.78  % (6866)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (6866)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (6866)Memory used [KB]: 962
% 0.57/0.78  % (6866)Time elapsed: 0.004 s
% 0.57/0.78  % (6866)Instructions burned: 2 (million)
% 0.57/0.78  % (6871)Refutation not found, incomplete strategy% (6871)------------------------------
% 0.57/0.78  % (6871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (6871)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (6869)Refutation not found, incomplete strategy% (6869)------------------------------
% 0.57/0.78  % (6869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (6869)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (6869)Memory used [KB]: 966
% 0.57/0.78  % (6869)Time elapsed: 0.004 s
% 0.57/0.78  % (6869)Instructions burned: 2 (million)
% 0.57/0.78  % (6871)Memory used [KB]: 950
% 0.57/0.78  % (6871)Time elapsed: 0.004 s
% 0.57/0.78  % (6871)Instructions burned: 2 (million)
% 0.57/0.78  % (6866)------------------------------
% 0.57/0.78  % (6866)------------------------------
% 0.57/0.78  % (6869)------------------------------
% 0.57/0.78  % (6869)------------------------------
% 0.57/0.78  % (6871)------------------------------
% 0.57/0.78  % (6871)------------------------------
% 0.57/0.78  % (6874)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 (2995ds/55Mi)
% 0.65/0.78  % (6874)Refutation not found, incomplete strategy% (6874)------------------------------
% 0.65/0.78  % (6874)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78  % (6874)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.78  
% 0.65/0.78  % (6874)Memory used [KB]: 974
% 0.65/0.78  % (6874)Time elapsed: 0.004 s
% 0.65/0.78  % (6874)Instructions burned: 5 (million)
% 0.65/0.78  % (6874)------------------------------
% 0.65/0.78  % (6874)------------------------------
% 0.65/0.79  % (6876)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 (2995ds/208Mi)
% 0.65/0.79  % (6875)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 (2995ds/50Mi)
% 0.65/0.79  % (6878)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 (2995ds/518Mi)
% 0.65/0.79  % (6877)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 (2995ds/52Mi)
% 0.65/0.79  % (6876)Refutation not found, incomplete strategy% (6876)------------------------------
% 0.65/0.79  % (6876)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.79  % (6876)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.79  
% 0.65/0.79  % (6876)Memory used [KB]: 966
% 0.65/0.79  % (6876)Time elapsed: 0.004 s
% 0.65/0.79  % (6876)Instructions burned: 2 (million)
% 0.65/0.79  % (6876)------------------------------
% 0.65/0.79  % (6876)------------------------------
% 0.65/0.80  % (6879)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 (2995ds/42Mi)
% 0.65/0.80  % (6872)First to succeed.
% 0.65/0.81  % (6872)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6827"
% 0.65/0.81  % (6872)Refutation found. Thanks to Tanya!
% 0.65/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.65/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.81  % (6872)------------------------------
% 0.65/0.81  % (6872)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81  % (6872)Termination reason: Refutation
% 0.65/0.81  
% 0.65/0.81  % (6872)Memory used [KB]: 1367
% 0.65/0.81  % (6872)Time elapsed: 0.030 s
% 0.65/0.81  % (6872)Instructions burned: 51 (million)
% 0.65/0.81  % (6827)Success in time 0.434 s
% 0.65/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------