TSTP Solution File: GRP129-1.003 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP129-1.003 : 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 : Wed May  1 02:27:27 EDT 2024

% Result   : Unsatisfiable 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  149 (  10 unt;   0 def)
%            Number of atoms       :  438 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  482 ( 193   ~; 272   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  20 usr;  18 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f750,plain,
    $false,
    inference(avatar_sat_refutation,[],[f29,f37,f74,f79,f117,f161,f162,f244,f275,f316,f319,f320,f381,f422,f458,f470,f473,f475,f477,f500,f534,f535,f570,f571,f580,f611,f614,f639,f674,f686,f718,f721,f748]) ).

fof(f748,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f747]) ).

fof(f747,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9
    | spl0_15 ),
    inference(subsumption_resolution,[],[f740,f219]) ).

fof(f219,plain,
    ( ~ product(e_1,e_3,e_2)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl0_15
  <=> product(e_1,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f740,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f91,f126,f14]) ).

fof(f14,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X1,X0,X4)
      | ~ product(X0,X4,X5)
      | product(X4,X1,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300',qg3) ).

fof(f126,plain,
    ( product(e_3,e_3,e_1)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl0_9
  <=> product(e_3,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f91,plain,
    ( product(e_3,e_1,e_2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl0_8
  <=> product(e_3,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f721,plain,
    ( spl0_9
    | spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f720,f31,f128,f124]) ).

fof(f128,plain,
    ( spl0_10
  <=> product(e_3,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f31,plain,
    ( spl0_3
  <=> product(e_3,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f720,plain,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f644,f3]) ).

fof(f3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300',element_3) ).

fof(f644,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,[],[f643]) ).

fof(f643,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,[],[f32,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.zjtNBfT0lF/Vampire---4.8_12300',product_total_function1) ).

fof(f32,plain,
    ( ~ product(e_3,e_3,e_3)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f718,plain,
    ( ~ spl0_10
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f697,f89,f128]) ).

fof(f697,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f8,f91,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.zjtNBfT0lF/Vampire---4.8_12300',product_right_cancellation) ).

fof(f8,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300',e_3_is_not_e_1) ).

fof(f686,plain,
    ( spl0_19
    | ~ spl0_4
    | spl0_11
    | spl0_12
    | spl0_20 ),
    inference(avatar_split_clause,[],[f685,f239,f173,f169,f35,f235]) ).

fof(f235,plain,
    ( spl0_19
  <=> product(e_2,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f35,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(f169,plain,
    ( spl0_11
  <=> product(e_3,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f173,plain,
    ( spl0_12
  <=> product(e_3,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f239,plain,
    ( spl0_20
  <=> product(e_2,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f685,plain,
    ( product(e_2,e_3,e_2)
    | ~ spl0_4
    | spl0_11
    | spl0_12
    | spl0_20 ),
    inference(subsumption_resolution,[],[f684,f170]) ).

fof(f170,plain,
    ( ~ product(e_3,e_2,e_1)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f684,plain,
    ( product(e_2,e_3,e_2)
    | product(e_3,e_2,e_1)
    | ~ spl0_4
    | spl0_12
    | spl0_20 ),
    inference(subsumption_resolution,[],[f679,f174]) ).

fof(f174,plain,
    ( ~ product(e_3,e_2,e_2)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f679,plain,
    ( product(e_2,e_3,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | ~ spl0_4
    | spl0_20 ),
    inference(subsumption_resolution,[],[f677,f240]) ).

fof(f240,plain,
    ( ~ product(e_2,e_3,e_1)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f677,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | ~ spl0_4 ),
    inference(resolution,[],[f36,f2]) ).

fof(f2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300',element_2) ).

fof(f36,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,[],[f35]) ).

fof(f674,plain,
    ( ~ spl0_20
    | ~ spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f663,f124,f39,f239]) ).

fof(f39,plain,
    ( spl0_5
  <=> product(e_3,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f663,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ spl0_5
    | spl0_9 ),
    inference(unit_resulting_resolution,[],[f125,f41,f14]) ).

fof(f41,plain,
    ( product(e_3,e_2,e_3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f125,plain,
    ( ~ product(e_3,e_3,e_1)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f639,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f638]) ).

fof(f638,plain,
    ( $false
    | ~ spl0_1
    | spl0_9
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f633,f224]) ).

fof(f224,plain,
    ( product(e_1,e_3,e_1)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl0_16
  <=> product(e_1,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f633,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ spl0_1
    | spl0_9 ),
    inference(unit_resulting_resolution,[],[f125,f25,f14]) ).

fof(f25,plain,
    ( product(e_3,e_1,e_3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f23,plain,
    ( spl0_1
  <=> product(e_3,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f614,plain,
    ( ~ spl0_15
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f590,f214,f218]) ).

fof(f214,plain,
    ( spl0_14
  <=> product(e_1,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f590,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ spl0_14 ),
    inference(unit_resulting_resolution,[],[f8,f216,f12]) ).

fof(f216,plain,
    ( product(e_1,e_1,e_2)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f611,plain,
    ( ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f547,f173,f128]) ).

fof(f547,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f9,f175,f12]) ).

fof(f175,plain,
    ( product(e_3,e_2,e_2)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f9,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300',e_3_is_not_e_2) ).

fof(f580,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_2
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_split_clause,[],[f579,f210,f85,f27,f222,f218]) ).

fof(f27,plain,
    ( spl0_2
  <=> ! [X0] :
        ( product(e_1,X0,e_2)
        | product(X0,e_3,e_1)
        | product(X0,e_3,e_2)
        | ~ group_element(X0)
        | product(e_1,X0,e_1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f85,plain,
    ( spl0_7
  <=> product(e_3,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f210,plain,
    ( spl0_13
  <=> product(e_1,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f579,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | ~ spl0_2
    | ~ spl0_7
    | spl0_13 ),
    inference(subsumption_resolution,[],[f578,f521]) ).

fof(f521,plain,
    ( ! [X0] :
        ( ~ product(e_1,e_1,X0)
        | product(e_1,e_3,X0) )
    | ~ spl0_7 ),
    inference(resolution,[],[f87,f14]) ).

fof(f87,plain,
    ( product(e_3,e_1,e_1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f578,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_1,e_2)
    | ~ spl0_2
    | spl0_13 ),
    inference(subsumption_resolution,[],[f382,f211]) ).

fof(f211,plain,
    ( ~ product(e_1,e_1,e_1)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f382,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | ~ spl0_2 ),
    inference(resolution,[],[f28,f1]) ).

fof(f1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300',element_1) ).

fof(f28,plain,
    ( ! [X0] :
        ( ~ group_element(X0)
        | product(X0,e_3,e_1)
        | product(X0,e_3,e_2)
        | product(e_1,X0,e_2)
        | product(e_1,X0,e_1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f571,plain,
    ( ~ spl0_16
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_split_clause,[],[f567,f210,f85,f222]) ).

fof(f567,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ spl0_7
    | spl0_13 ),
    inference(unit_resulting_resolution,[],[f87,f211,f14]) ).

fof(f570,plain,
    ( ~ spl0_15
    | spl0_8
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f565,f214,f210,f89,f218]) ).

fof(f565,plain,
    ( ~ product(e_1,e_3,e_2)
    | spl0_8
    | spl0_13
    | spl0_14 ),
    inference(unit_resulting_resolution,[],[f1,f1,f90,f215,f211,f15]) ).

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

fof(f215,plain,
    ( ~ product(e_1,e_1,e_2)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f90,plain,
    ( ~ product(e_3,e_1,e_2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f535,plain,
    ( ~ spl0_13
    | ~ spl0_7
    | spl0_16 ),
    inference(avatar_split_clause,[],[f519,f222,f85,f210]) ).

fof(f519,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_7
    | spl0_16 ),
    inference(unit_resulting_resolution,[],[f223,f87,f14]) ).

fof(f223,plain,
    ( ~ product(e_1,e_3,e_1)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f534,plain,
    ( ~ spl0_13
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f517,f85,f210]) ).

fof(f517,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_7 ),
    inference(unit_resulting_resolution,[],[f5,f87,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.zjtNBfT0lF/Vampire---4.8_12300',product_left_cancellation) ).

fof(f5,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300',e_1_is_not_e_3) ).

fof(f500,plain,
    ( spl0_7
    | spl0_8
    | spl0_1 ),
    inference(avatar_split_clause,[],[f499,f23,f89,f85]) ).

fof(f499,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f498,f3]) ).

fof(f498,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | ~ group_element(e_3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f329,f1]) ).

fof(f329,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_3)
    | spl0_1 ),
    inference(resolution,[],[f24,f10]) ).

fof(f24,plain,
    ( ~ product(e_3,e_1,e_3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f477,plain,
    ( spl0_15
    | spl0_1
    | spl0_9
    | spl0_10
    | spl0_16 ),
    inference(avatar_split_clause,[],[f466,f222,f128,f124,f23,f218]) ).

fof(f466,plain,
    ( product(e_1,e_3,e_2)
    | spl0_1
    | spl0_9
    | spl0_10
    | spl0_16 ),
    inference(unit_resulting_resolution,[],[f1,f3,f125,f129,f24,f223,f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ group_element(X0)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | product(e_3,X0,e_3)
      | product(X1,e_3,e_2)
      | product(X1,e_3,e_1) ),
    inference(subsumption_resolution,[],[f17,f3]) ).

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

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

fof(f129,plain,
    ( ~ product(e_3,e_3,e_2)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f475,plain,
    ( ~ spl0_12
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f368,f89,f173]) ).

fof(f368,plain,
    ( ~ product(e_3,e_2,e_2)
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f6,f91,f12]) ).

fof(f6,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300',e_2_is_not_e_1) ).

fof(f473,plain,
    ( spl0_11
    | spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f472,f39,f173,f169]) ).

fof(f472,plain,
    ( product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f471,f3]) ).

fof(f471,plain,
    ( product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | ~ group_element(e_3)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f268,f2]) ).

fof(f268,plain,
    ( product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_3)
    | spl0_5 ),
    inference(resolution,[],[f40,f10]) ).

fof(f40,plain,
    ( ~ product(e_3,e_2,e_3)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f470,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_15
    | spl0_16 ),
    inference(subsumption_resolution,[],[f468,f442]) ).

fof(f442,plain,
    ( product(e_2,e_1,e_1)
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(unit_resulting_resolution,[],[f171,f220,f14]) ).

fof(f220,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f171,plain,
    ( product(e_3,e_2,e_1)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f468,plain,
    ( ~ product(e_2,e_1,e_1)
    | ~ spl0_11
    | spl0_16 ),
    inference(unit_resulting_resolution,[],[f171,f223,f14]) ).

fof(f458,plain,
    ( ~ spl0_19
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f440,f218,f235]) ).

fof(f440,plain,
    ( ~ product(e_2,e_3,e_2)
    | ~ spl0_15 ),
    inference(unit_resulting_resolution,[],[f6,f220,f13]) ).

fof(f422,plain,
    ( ~ spl0_16
    | ~ spl0_8
    | spl0_14 ),
    inference(avatar_split_clause,[],[f421,f214,f89,f222]) ).

fof(f421,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ spl0_8
    | spl0_14 ),
    inference(unit_resulting_resolution,[],[f91,f215,f14]) ).

fof(f381,plain,
    ( ~ spl0_14
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f371,f89,f214]) ).

fof(f371,plain,
    ( ~ product(e_1,e_1,e_2)
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f8,f91,f13]) ).

fof(f320,plain,
    ( ~ spl0_20
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f302,f124,f239]) ).

fof(f302,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f9,f126,f13]) ).

fof(f319,plain,
    ( ~ spl0_16
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f303,f124,f222]) ).

fof(f303,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f8,f126,f13]) ).

fof(f316,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f315]) ).

fof(f315,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f308,f263]) ).

fof(f263,plain,
    ( ~ product(e_1,e_3,e_3)
    | ~ spl0_1
    | spl0_3 ),
    inference(unit_resulting_resolution,[],[f32,f25,f14]) ).

fof(f308,plain,
    ( product(e_1,e_3,e_3)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f25,f126,f14]) ).

fof(f275,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_4
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f274,f89,f85,f35,f222,f218]) ).

fof(f274,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | ~ spl0_4
    | spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f273,f86]) ).

fof(f86,plain,
    ( ~ product(e_3,e_1,e_1)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f273,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_1)
    | ~ spl0_4
    | spl0_8 ),
    inference(subsumption_resolution,[],[f269,f90]) ).

fof(f269,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,[],[f36,f1]) ).

fof(f244,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f189,f39,f23]) ).

fof(f189,plain,
    ( ~ product(e_3,e_1,e_3)
    | ~ spl0_5 ),
    inference(unit_resulting_resolution,[],[f4,f41,f12]) ).

fof(f4,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300',e_1_is_not_e_2) ).

fof(f162,plain,
    ( ~ spl0_10
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f133,f31,f128]) ).

fof(f133,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f9,f33,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.zjtNBfT0lF/Vampire---4.8_12300',product_total_function2) ).

fof(f33,plain,
    ( product(e_3,e_3,e_3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f161,plain,
    ( ~ spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f134,f31,f124]) ).

fof(f134,plain,
    ( ~ product(e_3,e_3,e_1)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f8,f33,f11]) ).

fof(f117,plain,
    ( ~ spl0_7
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f94,f23,f85]) ).

fof(f94,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f8,f25,f11]) ).

fof(f79,plain,
    ( ~ spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f55,f31,f39]) ).

fof(f55,plain,
    ( ~ product(e_3,e_2,e_3)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f7,f33,f12]) ).

fof(f7,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300',e_2_is_not_e_3) ).

fof(f74,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f53,f31,f23]) ).

fof(f53,plain,
    ( ~ product(e_3,e_1,e_3)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f8,f33,f12]) ).

fof(f37,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f20,f35,f31]) ).

fof(f20,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,[],[f18,f3]) ).

fof(f29,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f27,f23]) ).

fof(f19,plain,
    ! [X0] :
      ( product(e_1,X0,e_2)
      | product(e_1,X0,e_1)
      | ~ group_element(X0)
      | product(e_3,e_1,e_3)
      | product(X0,e_3,e_2)
      | product(X0,e_3,e_1) ),
    inference(resolution,[],[f18,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP129-1.003 : 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 : n002.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   : Tue Apr 30 18:45:55 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.zjtNBfT0lF/Vampire---4.8_12300
% 0.55/0.75  % (12571)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  % (12565)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  % (12568)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  % (12567)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  % (12570)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  % (12572)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  % (12565)Refutation not found, incomplete strategy% (12565)------------------------------
% 0.55/0.75  % (12565)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (12565)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (12565)Memory used [KB]: 946
% 0.55/0.75  % (12565)Time elapsed: 0.002 s
% 0.55/0.75  % (12565)Instructions burned: 2 (million)
% 0.55/0.75  % (12565)------------------------------
% 0.55/0.75  % (12565)------------------------------
% 0.55/0.75  % (12570)Refutation not found, incomplete strategy% (12570)------------------------------
% 0.55/0.75  % (12570)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (12568)Refutation not found, incomplete strategy% (12568)------------------------------
% 0.55/0.75  % (12568)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (12568)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (12568)Memory used [KB]: 946
% 0.55/0.75  % (12568)Time elapsed: 0.002 s
% 0.55/0.75  % (12568)Instructions burned: 2 (million)
% 0.55/0.75  % (12568)------------------------------
% 0.55/0.75  % (12568)------------------------------
% 0.55/0.75  % (12570)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (12572)Refutation not found, incomplete strategy% (12572)------------------------------
% 0.55/0.75  % (12572)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (12572)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (12572)Memory used [KB]: 946
% 0.55/0.75  % (12572)Time elapsed: 0.002 s
% 0.55/0.75  % (12572)Instructions burned: 2 (million)
% 0.55/0.75  % (12572)------------------------------
% 0.55/0.75  % (12572)------------------------------
% 0.55/0.75  % (12570)Memory used [KB]: 946
% 0.55/0.75  % (12570)Time elapsed: 0.002 s
% 0.55/0.75  % (12570)Instructions burned: 2 (million)
% 0.55/0.75  % (12570)------------------------------
% 0.55/0.75  % (12570)------------------------------
% 0.55/0.75  % (12569)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  % (12566)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  % (12573)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)
% 0.55/0.75  % (12574)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  % (12576)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  % (12571)First to succeed.
% 0.55/0.76  % (12573)Refutation not found, incomplete strategy% (12573)------------------------------
% 0.55/0.76  % (12573)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (12573)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (12573)Memory used [KB]: 961
% 0.55/0.76  % (12573)Time elapsed: 0.003 s
% 0.55/0.76  % (12573)Instructions burned: 2 (million)
% 0.55/0.76  % (12573)------------------------------
% 0.55/0.76  % (12573)------------------------------
% 0.55/0.76  % (12571)Refutation found. Thanks to Tanya!
% 0.55/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76  % (12571)------------------------------
% 0.55/0.76  % (12571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (12571)Termination reason: Refutation
% 0.55/0.76  
% 0.55/0.76  % (12571)Memory used [KB]: 1173
% 0.55/0.76  % (12571)Time elapsed: 0.009 s
% 0.55/0.76  % (12571)Instructions burned: 24 (million)
% 0.55/0.76  % (12571)------------------------------
% 0.55/0.76  % (12571)------------------------------
% 0.55/0.76  % (12561)Success in time 0.381 s
% 0.55/0.76  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.55/0.76  12561 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.zjtNBfT0lF/Vampire---4.8_12300
% 0.55/0.76  % (12561)------------------------------
% 0.55/0.76  % (12561)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (12561)Termination reason: Unknown
% 0.55/0.76  % (12561)Termination phase: Unknown
% 0.55/0.76  
% 0.55/0.76  % (12561)Memory used [KB]: 441
% 0.55/0.76  % (12561)Time elapsed: 0.381 s
% 0.55/0.76  % (12561)Instructions burned: 953 (million)
% 0.55/0.76  % (12561)------------------------------
% 0.55/0.76  % (12561)------------------------------
% 0.55/0.76  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  ???
% 0.55/0.76   ???
% 0.55/0.76    ???
% 0.55/0.76     ???
% 0.55/0.76      ???
% 0.55/0.76       ???
% 0.55/0.76        ???
% 0.55/0.76         ???
% 0.55/0.76          ???
% 0.55/0.76           ???
% 0.55/0.76            ???
% 0.55/0.76             ???
% 0.55/0.76              ???
% 0.55/0.76               ???
% 0.55/0.76                ???
% 0.55/0.76                 ???
% 0.55/0.76                  ???
% 0.55/0.76                   ???
% 0.55/0.76                    ???
% 0.55/0.76                     ???
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------