TSTP Solution File: GRP133-1.003 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP133-1.003 : 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 : n002.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 05:46:21 EDT 2024

% Result   : Unsatisfiable 0.62s 0.77s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  200 (  10 unt;   0 def)
%            Number of atoms       :  649 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  750 ( 301   ~; 427   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   26 (  25 usr;  23 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f881,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f36,f44,f74,f78,f127,f143,f214,f279,f281,f288,f315,f317,f327,f360,f363,f408,f412,f417,f458,f460,f464,f479,f484,f512,f543,f549,f555,f589,f625,f631,f633,f678,f681,f683,f687,f775,f777,f779,f876,f877,f880]) ).

fof(f880,plain,
    ( ~ spl0_21
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f859,f156,f476]) ).

fof(f476,plain,
    ( spl0_21
  <=> product(e_2,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f156,plain,
    ( spl0_13
  <=> product(e_1,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f859,plain,
    ( ~ product(e_2,e_2,e_1)
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f6,f158,f13]) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X2,X1,X0)
      | ~ product(X3,X1,X0)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',product_left_cancellation) ).

fof(f158,plain,
    ( product(e_1,e_2,e_1)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f6,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',e_2_is_not_e_1) ).

fof(f877,plain,
    ( ~ spl0_16
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f861,f156,f140,f168]) ).

fof(f168,plain,
    ( spl0_16
  <=> product(e_2,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f140,plain,
    ( spl0_10
  <=> product(e_1,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f861,plain,
    ( ~ product(e_2,e_1,e_1)
    | spl0_10
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f141,f158,f14]) ).

fof(f14,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X1,X4)
      | ~ product(X1,X0,X5)
      | product(X4,X5,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',qg3) ).

fof(f141,plain,
    ( ~ product(e_1,e_1,e_1)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f876,plain,
    ( spl0_16
    | spl0_15
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f875,f156,f151,f164,f168]) ).

fof(f164,plain,
    ( spl0_15
  <=> product(e_2,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f151,plain,
    ( spl0_12
  <=> product(e_3,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f875,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f874,f2]) ).

fof(f2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',element_2) ).

fof(f874,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_2)
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f873,f1]) ).

fof(f1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',element_1) ).

fof(f873,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f864,f152]) ).

fof(f152,plain,
    ( ~ product(e_3,e_1,e_2)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f864,plain,
    ( product(e_3,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | ~ spl0_13 ),
    inference(resolution,[],[f158,f15]) ).

fof(f15,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X2)
      | product(e_3,X2,X1)
      | product(X1,X0,e_2)
      | product(X1,X0,e_1)
      | ~ group_element(X0)
      | ~ group_element(X1) ),
    inference(resolution,[],[f14,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( product(X0,X1,e_3)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',product_total_function1) ).

fof(f779,plain,
    ( spl0_17
    | spl0_8
    | spl0_7
    | ~ spl0_6
    | spl0_22 ),
    inference(avatar_split_clause,[],[f778,f558,f42,f89,f93,f218]) ).

fof(f218,plain,
    ( spl0_17
  <=> product(e_2,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f93,plain,
    ( spl0_8
  <=> product(e_3,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f89,plain,
    ( spl0_7
  <=> product(e_3,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f42,plain,
    ( spl0_6
  <=> ! [X0] :
        ( product(e_2,X0,e_2)
        | product(X0,e_2,e_1)
        | product(X0,e_2,e_2)
        | ~ group_element(X0)
        | product(e_2,X0,e_1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f558,plain,
    ( spl0_22
  <=> product(e_2,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f778,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_2,e_3,e_2)
    | ~ spl0_6
    | spl0_22 ),
    inference(subsumption_resolution,[],[f367,f559]) ).

fof(f559,plain,
    ( ~ product(e_2,e_3,e_1)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f367,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ spl0_6 ),
    inference(resolution,[],[f43,f3]) ).

fof(f3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',element_3) ).

fof(f43,plain,
    ( ! [X0] :
        ( ~ group_element(X0)
        | product(X0,e_2,e_1)
        | product(X0,e_2,e_2)
        | product(e_2,X0,e_2)
        | product(e_2,X0,e_1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f777,plain,
    ( spl0_15
    | spl0_14
    | spl0_13
    | ~ spl0_6
    | spl0_16 ),
    inference(avatar_split_clause,[],[f776,f168,f42,f156,f160,f164]) ).

fof(f160,plain,
    ( spl0_14
  <=> product(e_1,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f776,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_2)
    | ~ spl0_6
    | spl0_16 ),
    inference(subsumption_resolution,[],[f366,f169]) ).

fof(f169,plain,
    ( ~ product(e_2,e_1,e_1)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f366,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ spl0_6 ),
    inference(resolution,[],[f43,f1]) ).

fof(f775,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f774]) ).

fof(f774,plain,
    ( $false
    | spl0_8
    | ~ spl0_14
    | spl0_15
    | spl0_16 ),
    inference(subsumption_resolution,[],[f773,f2]) ).

fof(f773,plain,
    ( ~ group_element(e_2)
    | spl0_8
    | ~ spl0_14
    | spl0_15
    | spl0_16 ),
    inference(subsumption_resolution,[],[f772,f1]) ).

fof(f772,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_2)
    | spl0_8
    | ~ spl0_14
    | spl0_15
    | spl0_16 ),
    inference(subsumption_resolution,[],[f771,f169]) ).

fof(f771,plain,
    ( product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | spl0_8
    | ~ spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f770,f165]) ).

fof(f165,plain,
    ( ~ product(e_2,e_1,e_2)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f770,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | spl0_8
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f763,f94]) ).

fof(f94,plain,
    ( ~ product(e_3,e_2,e_2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f763,plain,
    ( product(e_3,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | ~ spl0_14 ),
    inference(resolution,[],[f162,f15]) ).

fof(f162,plain,
    ( product(e_1,e_2,e_2)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f687,plain,
    ( spl0_18
    | spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f686,f151,f147,f89,f319]) ).

fof(f319,plain,
    ( spl0_18
  <=> product(e_1,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f147,plain,
    ( spl0_11
  <=> product(e_1,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f686,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_3,e_1)
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f685,f1]) ).

fof(f685,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_1)
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f684,f3]) ).

fof(f684,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f662,f148]) ).

fof(f148,plain,
    ( ~ product(e_1,e_3,e_2)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f662,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | ~ spl0_12 ),
    inference(resolution,[],[f153,f15]) ).

fof(f153,plain,
    ( product(e_3,e_1,e_2)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f683,plain,
    ( ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f652,f151,f38]) ).

fof(f38,plain,
    ( spl0_5
  <=> product(e_3,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f652,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f8,f153,f12]) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X2,X1)
      | ~ product(X0,X3,X1)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',product_right_cancellation) ).

fof(f8,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',e_3_is_not_e_1) ).

fof(f681,plain,
    ( spl0_1
    | spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f680,f30,f38,f22]) ).

fof(f22,plain,
    ( spl0_1
  <=> product(e_3,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f30,plain,
    ( spl0_3
  <=> product(e_3,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f680,plain,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f591,f3]) ).

fof(f591,plain,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | ~ group_element(e_3)
    | spl0_3 ),
    inference(duplicate_literal_removal,[],[f590]) ).

fof(f590,plain,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_3)
    | spl0_3 ),
    inference(resolution,[],[f31,f10]) ).

fof(f31,plain,
    ( ~ product(e_3,e_3,e_3)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f678,plain,
    ( ~ spl0_18
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f578,f22,f319]) ).

fof(f578,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f5,f24,f13]) ).

fof(f24,plain,
    ( product(e_3,e_3,e_1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f5,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',e_1_is_not_e_3) ).

fof(f633,plain,
    ( ~ spl0_14
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f528,f147,f160]) ).

fof(f528,plain,
    ( ~ product(e_1,e_2,e_2)
    | ~ spl0_11 ),
    inference(unit_resulting_resolution,[],[f7,f149,f12]) ).

fof(f149,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f7,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',e_2_is_not_e_3) ).

fof(f631,plain,
    ( spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f630]) ).

fof(f630,plain,
    ( $false
    | spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f629,f1]) ).

fof(f629,plain,
    ( ~ group_element(e_1)
    | spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f628,f2]) ).

fof(f628,plain,
    ( ~ group_element(e_2)
    | ~ group_element(e_1)
    | spl0_7
    | spl0_13
    | spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f627,f157]) ).

fof(f157,plain,
    ( ~ product(e_1,e_2,e_1)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f627,plain,
    ( product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | spl0_7
    | spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f626,f161]) ).

fof(f161,plain,
    ( ~ product(e_1,e_2,e_2)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f626,plain,
    ( product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | spl0_7
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f617,f90]) ).

fof(f90,plain,
    ( ~ product(e_3,e_2,e_1)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f617,plain,
    ( product(e_3,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | ~ spl0_15 ),
    inference(resolution,[],[f166,f15]) ).

fof(f166,plain,
    ( product(e_2,e_1,e_2)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f625,plain,
    ( ~ spl0_20
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f604,f164,f472]) ).

fof(f472,plain,
    ( spl0_20
  <=> product(e_2,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f604,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_15 ),
    inference(unit_resulting_resolution,[],[f4,f166,f12]) ).

fof(f4,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',e_1_is_not_e_2) ).

fof(f589,plain,
    ( ~ spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f574,f22,f558]) ).

fof(f574,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f9,f24,f13]) ).

fof(f9,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',e_3_is_not_e_2) ).

fof(f555,plain,
    ( ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f534,f147,f38]) ).

fof(f534,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ spl0_11 ),
    inference(unit_resulting_resolution,[],[f8,f149,f13]) ).

fof(f549,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | spl0_12
    | spl0_19 ),
    inference(avatar_contradiction_clause,[],[f548]) ).

fof(f548,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_11
    | spl0_12
    | spl0_19 ),
    inference(subsumption_resolution,[],[f547,f3]) ).

fof(f547,plain,
    ( ~ group_element(e_3)
    | ~ spl0_3
    | ~ spl0_11
    | spl0_12
    | spl0_19 ),
    inference(subsumption_resolution,[],[f546,f1]) ).

fof(f546,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_3)
    | ~ spl0_3
    | ~ spl0_11
    | spl0_12
    | spl0_19 ),
    inference(subsumption_resolution,[],[f545,f324]) ).

fof(f324,plain,
    ( ~ product(e_3,e_1,e_1)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f323,plain,
    ( spl0_19
  <=> product(e_3,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f545,plain,
    ( product(e_3,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_3)
    | ~ spl0_3
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f544,f152]) ).

fof(f544,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_3)
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f537,f234]) ).

fof(f234,plain,
    ( ~ product(e_3,e_2,e_3)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f7,f32,f12]) ).

fof(f32,plain,
    ( product(e_3,e_3,e_3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f537,plain,
    ( product(e_3,e_2,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_11 ),
    inference(resolution,[],[f149,f15]) ).

fof(f543,plain,
    ( ~ spl0_17
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f532,f147,f218]) ).

fof(f532,plain,
    ( ~ product(e_2,e_3,e_2)
    | ~ spl0_11 ),
    inference(unit_resulting_resolution,[],[f4,f149,f13]) ).

fof(f512,plain,
    ( ~ spl0_19
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f497,f140,f323]) ).

fof(f497,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f5,f142,f13]) ).

fof(f142,plain,
    ( product(e_1,e_1,e_1)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f484,plain,
    ( spl0_13
    | spl0_15
    | ~ spl0_2
    | spl0_14
    | spl0_16 ),
    inference(avatar_split_clause,[],[f483,f168,f160,f26,f164,f156]) ).

fof(f26,plain,
    ( spl0_2
  <=> ! [X0] :
        ( product(e_1,X0,e_2)
        | product(X0,e_1,e_1)
        | product(X0,e_1,e_2)
        | ~ group_element(X0)
        | product(e_1,X0,e_1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f483,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_2,e_1)
    | ~ spl0_2
    | spl0_14
    | spl0_16 ),
    inference(subsumption_resolution,[],[f482,f161]) ).

fof(f482,plain,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ spl0_2
    | spl0_16 ),
    inference(subsumption_resolution,[],[f284,f169]) ).

fof(f284,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ spl0_2 ),
    inference(resolution,[],[f27,f2]) ).

fof(f27,plain,
    ( ! [X0] :
        ( ~ group_element(X0)
        | product(X0,e_1,e_1)
        | product(X0,e_1,e_2)
        | product(e_1,X0,e_2)
        | product(e_1,X0,e_1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f479,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f369,f42,f476,f472]) ).

fof(f369,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f368]) ).

fof(f368,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | ~ spl0_6 ),
    inference(resolution,[],[f43,f2]) ).

fof(f464,plain,
    ( ~ spl0_13
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f463]) ).

fof(f463,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f430,f321]) ).

fof(f321,plain,
    ( product(e_1,e_3,e_1)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f430,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f7,f158,f12]) ).

fof(f460,plain,
    ( ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f459]) ).

fof(f459,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f436,f91]) ).

fof(f91,plain,
    ( product(e_3,e_2,e_1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f436,plain,
    ( ~ product(e_3,e_2,e_1)
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f5,f158,f13]) ).

fof(f458,plain,
    ( ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f457]) ).

fof(f457,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f437,f347]) ).

fof(f347,plain,
    ( product(e_2,e_2,e_1)
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f138,f138,f14]) ).

fof(f138,plain,
    ( product(e_1,e_1,e_2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl0_9
  <=> product(e_1,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f437,plain,
    ( ~ product(e_2,e_2,e_1)
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f4,f158,f13]) ).

fof(f417,plain,
    ( spl0_19
    | spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f416,f168,f160,f156,f323]) ).

fof(f416,plain,
    ( product(e_3,e_1,e_1)
    | spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f415,f1]) ).

fof(f415,plain,
    ( product(e_3,e_1,e_1)
    | ~ group_element(e_1)
    | spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f414,f2]) ).

fof(f414,plain,
    ( product(e_3,e_1,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | spl0_13
    | spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f413,f157]) ).

fof(f413,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | spl0_14
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f399,f161]) ).

fof(f399,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | ~ spl0_16 ),
    inference(resolution,[],[f170,f15]) ).

fof(f170,plain,
    ( product(e_2,e_1,e_1)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f412,plain,
    ( ~ spl0_9
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f411]) ).

fof(f411,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f384,f347]) ).

fof(f384,plain,
    ( ~ product(e_2,e_2,e_1)
    | ~ spl0_16 ),
    inference(unit_resulting_resolution,[],[f4,f170,f12]) ).

fof(f408,plain,
    ( ~ spl0_19
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f389,f168,f323]) ).

fof(f389,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ spl0_16 ),
    inference(unit_resulting_resolution,[],[f7,f170,f13]) ).

fof(f363,plain,
    ( ~ spl0_15
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f344,f136,f164]) ).

fof(f344,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f6,f138,f13]) ).

fof(f360,plain,
    ( ~ spl0_14
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f335,f136,f160]) ).

fof(f335,plain,
    ( ~ product(e_1,e_2,e_2)
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f4,f138,f12]) ).

fof(f327,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f285,f26,f140,f136]) ).

fof(f285,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f282,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | ~ spl0_2 ),
    inference(resolution,[],[f27,f1]) ).

fof(f317,plain,
    ( ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f296,f151,f93]) ).

fof(f296,plain,
    ( ~ product(e_3,e_2,e_2)
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f4,f153,f12]) ).

fof(f315,plain,
    ( ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f314]) ).

fof(f314,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f301,f166]) ).

fof(f301,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f9,f153,f13]) ).

fof(f288,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f287,f140,f26,f151,f147]) ).

fof(f287,plain,
    ( product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f286,f261]) ).

fof(f261,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f8,f142,f12]) ).

fof(f286,plain,
    ( product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f283,f267]) ).

fof(f267,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f8,f142,f13]) ).

fof(f283,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ spl0_2 ),
    inference(resolution,[],[f27,f3]) ).

fof(f281,plain,
    ( ~ spl0_13
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f259,f140,f156]) ).

fof(f259,plain,
    ( ~ product(e_1,e_2,e_1)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f4,f142,f12]) ).

fof(f279,plain,
    ( ~ spl0_16
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f265,f140,f168]) ).

fof(f265,plain,
    ( ~ product(e_2,e_1,e_1)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f4,f142,f13]) ).

fof(f214,plain,
    ( spl0_12
    | spl0_11
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f213,f34,f22,f147,f151]) ).

fof(f34,plain,
    ( spl0_4
  <=> ! [X0] :
        ( product(e_3,X0,e_2)
        | product(X0,e_3,e_1)
        | product(X0,e_3,e_2)
        | ~ group_element(X0)
        | product(e_3,X0,e_1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f213,plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_1,e_2)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f212,f110]) ).

fof(f110,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f5,f24,f12]) ).

fof(f212,plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f208,f116]) ).

fof(f116,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f5,f24,f13]) ).

fof(f208,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | ~ spl0_4 ),
    inference(resolution,[],[f35,f1]) ).

fof(f35,plain,
    ( ! [X0] :
        ( ~ group_element(X0)
        | product(X0,e_3,e_1)
        | product(X0,e_3,e_2)
        | product(e_3,X0,e_2)
        | product(e_3,X0,e_1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f143,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f134,f26,f140,f136]) ).

fof(f134,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f131]) ).

fof(f131,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | ~ spl0_2 ),
    inference(resolution,[],[f27,f1]) ).

fof(f127,plain,
    ( ~ spl0_7
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f106,f22,f89]) ).

fof(f106,plain,
    ( ~ product(e_3,e_2,e_1)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f9,f24,f12]) ).

fof(f78,plain,
    ( ~ spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f48,f30,f38]) ).

fof(f48,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f7,f32,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X1,X3)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.kFhu9tr5cc/Vampire---4.8_10882',product_total_function2) ).

fof(f74,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f46,f30,f22]) ).

fof(f46,plain,
    ( ~ product(e_3,e_3,e_1)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f8,f32,f11]) ).

fof(f44,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f20,f42,f38]) ).

fof(f20,plain,
    ! [X0] :
      ( product(e_2,X0,e_2)
      | product(e_2,X0,e_1)
      | ~ group_element(X0)
      | product(e_3,e_3,e_2)
      | product(X0,e_2,e_2)
      | product(X0,e_2,e_1) ),
    inference(resolution,[],[f17,f2]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ group_element(X0)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | product(e_3,e_3,X0)
      | product(X1,X0,e_2)
      | product(X1,X0,e_1) ),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( product(e_3,e_3,X0)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0)
      | product(X1,X0,e_2)
      | product(X1,X0,e_1)
      | ~ group_element(X0)
      | ~ group_element(X1) ),
    inference(resolution,[],[f15,f10]) ).

fof(f36,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f19,f34,f30]) ).

fof(f19,plain,
    ! [X0] :
      ( product(e_3,X0,e_2)
      | product(e_3,X0,e_1)
      | ~ group_element(X0)
      | product(e_3,e_3,e_3)
      | product(X0,e_3,e_2)
      | product(X0,e_3,e_1) ),
    inference(resolution,[],[f17,f3]) ).

fof(f28,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f18,f26,f22]) ).

fof(f18,plain,
    ! [X0] :
      ( product(e_1,X0,e_2)
      | product(e_1,X0,e_1)
      | ~ group_element(X0)
      | product(e_3,e_3,e_1)
      | product(X0,e_1,e_2)
      | product(X0,e_1,e_1) ),
    inference(resolution,[],[f17,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP133-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 20:53:37 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.13/0.35  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.kFhu9tr5cc/Vampire---4.8_10882
% 0.55/0.75  % (10991)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)
% 0.55/0.75  % (10996)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)
% 0.55/0.75  % (10995)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)
% 0.55/0.75  % (10994)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)
% 0.55/0.75  % (10993)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (10997)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)
% 0.55/0.75  % (10992)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)
% 0.55/0.75  % (10998)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)
% 0.55/0.75  % (10996)Refutation not found, incomplete strategy% (10996)------------------------------
% 0.55/0.75  % (10996)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (10991)Refutation not found, incomplete strategy% (10991)------------------------------
% 0.55/0.75  % (10991)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (10991)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10991)Memory used [KB]: 947
% 0.55/0.75  % (10991)Time elapsed: 0.002 s
% 0.55/0.75  % (10991)Instructions burned: 2 (million)
% 0.55/0.75  % (10996)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10996)Memory used [KB]: 946
% 0.55/0.75  % (10994)Refutation not found, incomplete strategy% (10994)------------------------------
% 0.55/0.75  % (10994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (10996)Time elapsed: 0.002 s
% 0.55/0.75  % (10996)Instructions burned: 2 (million)
% 0.55/0.75  % (10994)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10994)Memory used [KB]: 947
% 0.55/0.75  % (10994)Time elapsed: 0.002 s
% 0.55/0.75  % (10994)Instructions burned: 2 (million)
% 0.55/0.75  % (10991)------------------------------
% 0.55/0.75  % (10991)------------------------------
% 0.55/0.75  % (10996)------------------------------
% 0.55/0.75  % (10996)------------------------------
% 0.55/0.75  % (10998)Refutation not found, incomplete strategy% (10998)------------------------------
% 0.55/0.75  % (10998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (10998)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10998)Memory used [KB]: 946
% 0.55/0.75  % (10994)------------------------------
% 0.55/0.75  % (10994)------------------------------
% 0.55/0.75  % (10998)Time elapsed: 0.002 s
% 0.55/0.75  % (10998)Instructions burned: 2 (million)
% 0.55/0.75  % (10998)------------------------------
% 0.55/0.75  % (10998)------------------------------
% 0.55/0.75  % (11001)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)
% 0.55/0.76  % (11000)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)
% 0.55/0.76  % (10999)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)
% 0.55/0.76  % (11001)Refutation not found, incomplete strategy% (11001)------------------------------
% 0.55/0.76  % (11001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (11001)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (11001)Memory used [KB]: 946
% 0.55/0.76  % (11001)Time elapsed: 0.001 s
% 0.55/0.76  % (11001)Instructions burned: 2 (million)
% 0.55/0.76  % (11001)------------------------------
% 0.55/0.76  % (11001)------------------------------
% 0.55/0.76  % (10999)Refutation not found, incomplete strategy% (10999)------------------------------
% 0.55/0.76  % (10999)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (10999)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (10999)Memory used [KB]: 962
% 0.55/0.76  % (10999)Time elapsed: 0.002 s
% 0.55/0.76  % (10999)Instructions burned: 2 (million)
% 0.55/0.76  % (10999)------------------------------
% 0.55/0.76  % (10999)------------------------------
% 0.55/0.76  % (11002)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)
% 0.55/0.76  % (11003)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)
% 0.55/0.76  % (11004)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)
% 0.55/0.76  % (10997)First to succeed.
% 0.55/0.76  % (10995)Instruction limit reached!
% 0.55/0.76  % (10995)------------------------------
% 0.55/0.76  % (10995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (10995)Termination reason: Unknown
% 0.55/0.76  % (10995)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (10995)Memory used [KB]: 1125
% 0.55/0.76  % (10995)Time elapsed: 0.015 s
% 0.55/0.76  % (10995)Instructions burned: 36 (million)
% 0.55/0.76  % (10995)------------------------------
% 0.55/0.76  % (10995)------------------------------
% 0.62/0.77  % (10992)Also succeeded, but the first one will report.
% 0.62/0.77  % (10997)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10990"
% 0.62/0.77  % (10997)Refutation found. Thanks to Tanya!
% 0.62/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77  % (10997)------------------------------
% 0.62/0.77  % (10997)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77  % (10997)Termination reason: Refutation
% 0.62/0.77  
% 0.62/0.77  % (10997)Memory used [KB]: 1198
% 0.62/0.77  % (10997)Time elapsed: 0.016 s
% 0.62/0.77  % (10997)Instructions burned: 29 (million)
% 0.62/0.77  % (10990)Success in time 0.404 s
% 0.62/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------