TSTP Solution File: GRP126-3.004 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP126-3.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n013.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 Aug 31 16:20:25 EDT 2022

% Result   : Unsatisfiable 0.19s 0.59s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  137 (  25 unt;   0 def)
%            Number of atoms       :  312 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  310 ( 135   ~; 155   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   24 (  23 usr;  21 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f702,plain,
    $false,
    inference(avatar_sat_refutation,[],[f117,f134,f151,f166,f223,f244,f341,f355,f362,f369,f379,f502,f512,f562,f578,f589,f598,f617,f624,f637,f693,f701]) ).

fof(f701,plain,
    ( ~ spl0_17
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f700]) ).

fof(f700,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f695,f32]) ).

fof(f32,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

fof(f695,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(resolution,[],[f239,f652]) ).

fof(f652,plain,
    ( ! [X0] :
        ( ~ product(X0,e_2,e_4)
        | equalish(X0,e_1) )
    | ~ spl0_17 ),
    inference(resolution,[],[f150,f41]) ).

fof(f41,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X2,X1,X0)
      | ~ product(X3,X1,X0)
      | equalish(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).

fof(f150,plain,
    ( product(e_1,e_2,e_4)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl0_17
  <=> product(e_1,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f239,plain,
    ( product(e_3,e_2,e_4)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl0_32
  <=> product(e_3,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f693,plain,
    ( spl0_8
    | ~ spl0_28
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f692]) ).

fof(f692,plain,
    ( $false
    | spl0_8
    | ~ spl0_28
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f691,f111]) ).

fof(f111,plain,
    ( ~ product(e_1,e_4,e_2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl0_8
  <=> product(e_1,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f691,plain,
    ( product(e_1,e_4,e_2)
    | ~ spl0_28
    | ~ spl0_30 ),
    inference(resolution,[],[f689,f218]) ).

fof(f218,plain,
    ( product(e_2,e_3,e_4)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl0_28
  <=> product(e_2,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f689,plain,
    ( ! [X3] :
        ( ~ product(e_2,e_3,X3)
        | product(e_1,X3,e_2) )
    | ~ spl0_30 ),
    inference(resolution,[],[f231,f43]) ).

fof(f43,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X1,X4)
      | ~ product(X1,X0,X5)
      | product(X4,X5,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4) ).

fof(f231,plain,
    ( product(e_3,e_2,e_1)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl0_30
  <=> product(e_3,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f637,plain,
    ~ spl0_33,
    inference(avatar_contradiction_clause,[],[f636]) ).

fof(f636,plain,
    ( $false
    | ~ spl0_33 ),
    inference(subsumption_resolution,[],[f631,f33]) ).

fof(f33,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

fof(f631,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_33 ),
    inference(resolution,[],[f243,f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,X0)
      | equalish(X0,X1) ),
    inference(resolution,[],[f40,f42]) ).

fof(f42,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).

fof(f40,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X3,X1)
      | ~ product(X0,X2,X1)
      | equalish(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).

fof(f243,plain,
    ( product(e_3,e_2,e_3)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl0_33
  <=> product(e_3,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f624,plain,
    ( spl0_6
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f623]) ).

fof(f623,plain,
    ( $false
    | spl0_6
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f618,f103]) ).

fof(f103,plain,
    ( ~ product(e_1,e_4,e_3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl0_6
  <=> product(e_1,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f618,plain,
    ( product(e_1,e_4,e_3)
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(resolution,[],[f239,f606]) ).

fof(f606,plain,
    ( ! [X3] :
        ( ~ product(e_3,e_2,X3)
        | product(e_1,X3,e_3) )
    | ~ spl0_26 ),
    inference(resolution,[],[f210,f43]) ).

fof(f210,plain,
    ( product(e_2,e_3,e_1)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f208,plain,
    ( spl0_26
  <=> product(e_2,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f617,plain,
    ~ spl0_31,
    inference(avatar_contradiction_clause,[],[f616]) ).

fof(f616,plain,
    ( $false
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f615,f33]) ).

fof(f615,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_31 ),
    inference(resolution,[],[f235,f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f41,f42]) ).

fof(f235,plain,
    ( product(e_3,e_2,e_2)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl0_31
  <=> product(e_3,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f598,plain,
    ~ spl0_29,
    inference(avatar_contradiction_clause,[],[f597]) ).

fof(f597,plain,
    ( $false
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f596,f30]) ).

fof(f30,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

fof(f596,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_29 ),
    inference(resolution,[],[f222,f49]) ).

fof(f222,plain,
    ( product(e_2,e_3,e_3)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl0_29
  <=> product(e_2,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f589,plain,
    ( ~ spl0_12
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f588]) ).

fof(f588,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f581,f29]) ).

fof(f29,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f581,plain,
    ( equalish(e_2,e_1)
    | ~ spl0_12
    | ~ spl0_28 ),
    inference(resolution,[],[f218,f520]) ).

fof(f520,plain,
    ( ! [X0] :
        ( ~ product(X0,e_3,e_4)
        | equalish(X0,e_1) )
    | ~ spl0_12 ),
    inference(resolution,[],[f129,f41]) ).

fof(f129,plain,
    ( product(e_1,e_3,e_4)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl0_12
  <=> product(e_1,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f578,plain,
    ~ spl0_27,
    inference(avatar_contradiction_clause,[],[f577]) ).

fof(f577,plain,
    ( $false
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f574,f30]) ).

fof(f574,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_27 ),
    inference(resolution,[],[f214,f47]) ).

fof(f214,plain,
    ( product(e_2,e_3,e_2)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f212,plain,
    ( spl0_27
  <=> product(e_2,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f562,plain,
    ( ~ spl0_26
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f561]) ).

fof(f561,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f555,f27]) ).

fof(f27,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

fof(f555,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(resolution,[],[f543,f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ product(X0,X0,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f39,f42]) ).

fof(f39,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | ~ product(X0,X1,X2)
      | equalish(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).

fof(f543,plain,
    ( product(e_1,e_1,e_3)
    | ~ spl0_26
    | ~ spl0_30 ),
    inference(resolution,[],[f231,f539]) ).

fof(f539,plain,
    ( ! [X3] :
        ( ~ product(e_3,e_2,X3)
        | product(e_1,X3,e_3) )
    | ~ spl0_26 ),
    inference(resolution,[],[f210,f43]) ).

fof(f512,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f511]) ).

fof(f511,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f510,f28]) ).

fof(f28,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).

fof(f510,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_9 ),
    inference(resolution,[],[f116,f49]) ).

fof(f116,plain,
    ( product(e_1,e_4,e_4)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl0_9
  <=> product(e_1,e_4,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f502,plain,
    ( ~ spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f501]) ).

fof(f501,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f496,f37]) ).

fof(f37,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).

fof(f496,plain,
    ( equalish(e_4,e_3)
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(resolution,[],[f133,f381]) ).

fof(f381,plain,
    ( ! [X1] :
        ( ~ product(e_1,X1,e_2)
        | equalish(e_4,X1) )
    | ~ spl0_8 ),
    inference(resolution,[],[f112,f40]) ).

fof(f112,plain,
    ( product(e_1,e_4,e_2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f133,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl0_13
  <=> product(e_1,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f379,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f378]) ).

fof(f378,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f377,f28]) ).

fof(f377,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_7 ),
    inference(resolution,[],[f108,f47]) ).

fof(f108,plain,
    ( product(e_1,e_4,e_1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl0_7
  <=> product(e_1,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f369,plain,
    ( ~ spl0_6
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f368]) ).

fof(f368,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f363,f36]) ).

fof(f36,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).

fof(f363,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(resolution,[],[f146,f153]) ).

fof(f153,plain,
    ( ! [X1] :
        ( ~ product(e_1,X1,e_3)
        | equalish(e_4,X1) )
    | ~ spl0_6 ),
    inference(resolution,[],[f104,f40]) ).

fof(f104,plain,
    ( product(e_1,e_4,e_3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f146,plain,
    ( product(e_1,e_2,e_3)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl0_16
  <=> product(e_1,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f362,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f361]) ).

fof(f361,plain,
    ( $false
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f360,f26]) ).

fof(f26,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

fof(f360,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_15 ),
    inference(resolution,[],[f142,f49]) ).

fof(f142,plain,
    ( product(e_1,e_2,e_2)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl0_15
  <=> product(e_1,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f355,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f354,plain,
    ( $false
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f353,f26]) ).

fof(f353,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_14 ),
    inference(resolution,[],[f138,f47]) ).

fof(f138,plain,
    ( product(e_1,e_2,e_1)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl0_14
  <=> product(e_1,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f341,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f340]) ).

fof(f340,plain,
    ( $false
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f339,f27]) ).

fof(f339,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_11 ),
    inference(resolution,[],[f125,f47]) ).

fof(f125,plain,
    ( product(e_1,e_3,e_1)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl0_11
  <=> product(e_1,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f244,plain,
    ( spl0_30
    | spl0_31
    | spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f225,f241,f237,f233,f229]) ).

fof(f225,plain,
    ( product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1) ),
    inference(resolution,[],[f89,f23]) ).

fof(f23,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).

fof(f89,plain,
    ! [X2] :
      ( ~ group_element(X2)
      | product(e_3,X2,e_4)
      | product(e_3,X2,e_1)
      | product(e_3,X2,e_2)
      | product(e_3,X2,e_3) ),
    inference(resolution,[],[f38,f24]) ).

fof(f24,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).

fof(f38,axiom,
    ! [X0,X1] :
      ( ~ group_element(X0)
      | product(X0,X1,e_3)
      | ~ group_element(X1)
      | product(X0,X1,e_2)
      | product(X0,X1,e_4)
      | product(X0,X1,e_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).

fof(f223,plain,
    ( spl0_26
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f171,f220,f216,f212,f208]) ).

fof(f171,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[],[f88,f24]) ).

fof(f88,plain,
    ! [X1] :
      ( ~ group_element(X1)
      | product(e_2,X1,e_1)
      | product(e_2,X1,e_3)
      | product(e_2,X1,e_2)
      | product(e_2,X1,e_4) ),
    inference(resolution,[],[f38,f23]) ).

fof(f166,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f165]) ).

fof(f165,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f164,f27]) ).

fof(f164,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_10 ),
    inference(resolution,[],[f121,f49]) ).

fof(f121,plain,
    ( product(e_1,e_3,e_3)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl0_10
  <=> product(e_1,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f151,plain,
    ( spl0_14
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f98,f148,f144,f140,f136]) ).

fof(f98,plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1) ),
    inference(resolution,[],[f87,f23]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product(e_1,X0,e_4)
      | product(e_1,X0,e_3)
      | product(e_1,X0,e_1)
      | product(e_1,X0,e_2) ),
    inference(resolution,[],[f38,f22]) ).

fof(f22,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).

fof(f134,plain,
    ( spl0_10
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f99,f131,f127,f123,f119]) ).

fof(f99,plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3) ),
    inference(resolution,[],[f87,f24]) ).

fof(f117,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f100,f114,f110,f106,f102]) ).

fof(f100,plain,
    ( product(e_1,e_4,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[],[f87,f25]) ).

fof(f25,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP126-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:11:32 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.53  % (26024)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (26022)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (26036)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55  % (26028)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.56  % (26016)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56  % (26020)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56  % (26014)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56  % (26014)Refutation not found, incomplete strategy% (26014)------------------------------
% 0.19/0.56  % (26014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (26014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (26014)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (26014)Memory used [KB]: 5373
% 0.19/0.56  % (26014)Time elapsed: 0.134 s
% 0.19/0.56  % (26014)Instructions burned: 2 (million)
% 0.19/0.56  % (26014)------------------------------
% 0.19/0.56  % (26014)------------------------------
% 0.19/0.57  % (26030)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.57  % (26020)Instruction limit reached!
% 0.19/0.57  % (26020)------------------------------
% 0.19/0.57  % (26020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (26020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (26020)Termination reason: Unknown
% 0.19/0.57  % (26020)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (26020)Memory used [KB]: 5500
% 0.19/0.57  % (26020)Time elapsed: 0.086 s
% 0.19/0.57  % (26020)Instructions burned: 8 (million)
% 0.19/0.57  % (26020)------------------------------
% 0.19/0.57  % (26020)------------------------------
% 0.19/0.58  % (26019)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.58  Detected maximum model sizes of [5]
% 0.19/0.58  TRYING [1]
% 0.19/0.58  TRYING [2]
% 0.19/0.58  TRYING [3]
% 0.19/0.58  % (26013)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.58  Detected maximum model sizes of [5]
% 0.19/0.58  TRYING [1]
% 0.19/0.58  % (26036)First to succeed.
% 0.19/0.58  % (26023)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.59  Detected maximum model sizes of [5]
% 0.19/0.59  TRYING [1]
% 0.19/0.59  % (26041)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.59  % (26025)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.59  TRYING [2]
% 0.19/0.59  % (26036)Refutation found. Thanks to Tanya!
% 0.19/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59  % (26036)------------------------------
% 0.19/0.59  % (26036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (26036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (26036)Termination reason: Refutation
% 0.19/0.59  
% 0.19/0.59  % (26036)Memory used [KB]: 5756
% 0.19/0.59  % (26036)Time elapsed: 0.094 s
% 0.19/0.59  % (26036)Instructions burned: 19 (million)
% 0.19/0.59  % (26036)------------------------------
% 0.19/0.59  % (26036)------------------------------
% 0.19/0.59  % (26012)Success in time 0.236 s
%------------------------------------------------------------------------------