TSTP Solution File: GRP134-1.003 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP134-1.003 : 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_uns --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 16:14:31 EDT 2022

% Result   : Unsatisfiable 1.37s 0.58s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  168 (   9 unt;   0 def)
%            Number of atoms       :  525 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  613 ( 256   ~; 340   |;   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(f831,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f41,f45,f49,f79,f118,f161,f206,f208,f272,f276,f351,f386,f426,f427,f455,f462,f503,f516,f518,f562,f663,f700,f704,f745,f792,f830]) ).

fof(f830,plain,
    ( ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f829]) ).

fof(f829,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f804,f421]) ).

fof(f421,plain,
    ( product(e_2,e_2,e_2)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f419,plain,
    ( spl0_17
  <=> product(e_2,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f804,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f7,f160,f12]) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X2,X1)
      | ~ product(X0,X3,X1)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).

fof(f160,plain,
    ( product(e_2,e_3,e_2)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl0_12
  <=> product(e_2,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f7,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

fof(f792,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f791]) ).

fof(f791,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | spl0_12 ),
    inference(subsumption_resolution,[],[f790,f781]) ).

fof(f781,plain,
    ( product(e_2,e_3,e_1)
    | ~ spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(subsumption_resolution,[],[f780,f2]) ).

fof(f2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).

fof(f780,plain,
    ( ~ group_element(e_2)
    | product(e_2,e_3,e_1)
    | ~ spl0_1
    | ~ spl0_9
    | spl0_12 ),
    inference(subsumption_resolution,[],[f779,f754]) ).

fof(f754,plain,
    ( ~ product(e_3,e_1,e_3)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f8,f24,f12]) ).

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

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

fof(f8,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

fof(f779,plain,
    ( product(e_2,e_3,e_1)
    | product(e_3,e_1,e_3)
    | ~ group_element(e_2)
    | ~ spl0_9
    | spl0_12 ),
    inference(subsumption_resolution,[],[f778,f159]) ).

fof(f159,plain,
    ( ~ product(e_2,e_3,e_2)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f778,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_3,e_1,e_3)
    | ~ group_element(e_2)
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f688,f3]) ).

fof(f3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).

fof(f688,plain,
    ( ~ group_element(e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_1,e_3)
    | ~ group_element(e_2)
    | ~ spl0_9 ),
    inference(resolution,[],[f148,f15]) ).

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

fof(f10,axiom,
    ! [X0,X1] :
      ( product(X0,X1,e_3)
      | product(X0,X1,e_1)
      | product(X0,X1,e_2)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).

fof(f14,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(f148,plain,
    ( product(e_3,e_2,e_1)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl0_9
  <=> product(e_3,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f790,plain,
    ( ~ product(e_2,e_3,e_1)
    | spl0_8
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f148,f116,f14]) ).

fof(f116,plain,
    ( ~ product(e_1,e_1,e_2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl0_8
  <=> product(e_1,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f745,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f744]) ).

fof(f744,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f711,f737]) ).

fof(f737,plain,
    ( product(e_1,e_3,e_1)
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f736,f194]) ).

fof(f194,plain,
    ( ~ product(e_3,e_1,e_2)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl0_14
  <=> product(e_3,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f736,plain,
    ( product(e_3,e_1,e_2)
    | product(e_1,e_3,e_1)
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(subsumption_resolution,[],[f735,f717]) ).

fof(f717,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ spl0_7 ),
    inference(unit_resulting_resolution,[],[f5,f113,f13]) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X1,X0)
      | ~ product(X2,X1,X0)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).

fof(f113,plain,
    ( product(e_1,e_1,e_1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl0_7
  <=> product(e_1,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f5,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

fof(f735,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_1)
    | ~ spl0_6
    | spl0_13 ),
    inference(subsumption_resolution,[],[f569,f190]) ).

fof(f190,plain,
    ( ~ product(e_1,e_3,e_2)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl0_13
  <=> product(e_1,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f569,plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | ~ spl0_6 ),
    inference(resolution,[],[f48,f3]) ).

fof(f48,plain,
    ( ! [X2] :
        ( ~ group_element(X2)
        | product(e_1,X2,e_1)
        | product(e_1,X2,e_2)
        | product(X2,e_1,e_2)
        | product(X2,e_1,e_1) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_6
  <=> ! [X2] :
        ( ~ group_element(X2)
        | product(e_1,X2,e_1)
        | product(X2,e_1,e_1)
        | product(X2,e_1,e_2)
        | product(e_1,X2,e_2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f711,plain,
    ( ~ product(e_1,e_3,e_1)
    | ~ spl0_7 ),
    inference(unit_resulting_resolution,[],[f5,f113,f12]) ).

fof(f704,plain,
    ( ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f703]) ).

fof(f703,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f620,f685]) ).

fof(f685,plain,
    ( ~ product(e_2,e_2,e_1)
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f7,f148,f13]) ).

fof(f620,plain,
    ( product(e_2,e_2,e_1)
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f117,f117,f14]) ).

fof(f117,plain,
    ( product(e_1,e_1,e_2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f700,plain,
    ( ~ spl0_9
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f699]) ).

fof(f699,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f685,f425]) ).

fof(f425,plain,
    ( product(e_2,e_2,e_1)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f423,plain,
    ( spl0_18
  <=> product(e_2,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f663,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f662]) ).

fof(f662,plain,
    ( $false
    | spl0_9
    | spl0_10
    | ~ spl0_11
    | spl0_14 ),
    inference(subsumption_resolution,[],[f661,f194]) ).

fof(f661,plain,
    ( product(e_3,e_1,e_2)
    | spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f660,f3]) ).

fof(f660,plain,
    ( ~ group_element(e_3)
    | product(e_3,e_1,e_2)
    | spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f659,f2]) ).

fof(f659,plain,
    ( ~ group_element(e_2)
    | ~ group_element(e_3)
    | product(e_3,e_1,e_2)
    | spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f658,f147]) ).

fof(f147,plain,
    ( ~ product(e_3,e_2,e_1)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f658,plain,
    ( product(e_3,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_3)
    | product(e_3,e_1,e_2)
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f647,f151]) ).

fof(f151,plain,
    ( ~ product(e_3,e_2,e_2)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl0_10
  <=> product(e_3,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f647,plain,
    ( product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | ~ group_element(e_2)
    | ~ group_element(e_3)
    | ~ spl0_11 ),
    inference(resolution,[],[f156,f15]) ).

fof(f156,plain,
    ( product(e_2,e_3,e_1)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f154,plain,
    ( spl0_11
  <=> product(e_2,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f562,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f561]) ).

fof(f561,plain,
    ( $false
    | ~ spl0_1
    | spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f542,f512]) ).

fof(f512,plain,
    ( product(e_3,e_2,e_3)
    | spl0_9
    | spl0_10 ),
    inference(unit_resulting_resolution,[],[f3,f2,f147,f151,f10]) ).

fof(f542,plain,
    ( ~ product(e_3,e_2,e_3)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f7,f24,f12]) ).

fof(f518,plain,
    ( ~ spl0_3
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f517]) ).

fof(f517,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f156,f487]) ).

fof(f487,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f9,f36,f13]) ).

fof(f36,plain,
    ( product(e_3,e_3,e_1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl0_3
  <=> product(e_3,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f9,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

fof(f516,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f515]) ).

fof(f515,plain,
    ( $false
    | spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f508,f160]) ).

fof(f508,plain,
    ( ~ product(e_2,e_3,e_2)
    | spl0_9
    | spl0_10 ),
    inference(unit_resulting_resolution,[],[f2,f3,f147,f151,f151,f15]) ).

fof(f503,plain,
    ( ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f502]) ).

fof(f502,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f489,f464]) ).

fof(f464,plain,
    ( product(e_2,e_3,e_1)
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f463,f417]) ).

fof(f417,plain,
    ( ~ product(e_2,e_3,e_2)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f152,f322,f14]) ).

fof(f322,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f7,f152,f13]) ).

fof(f152,plain,
    ( product(e_3,e_2,e_2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f463,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f335,f307]) ).

fof(f307,plain,
    ( ~ product(e_3,e_2,e_3)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f7,f152,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | equalish(X2,X3)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).

fof(f335,plain,
    ( product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f334,f3]) ).

fof(f334,plain,
    ( ~ group_element(e_3)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f325,f2]) ).

fof(f325,plain,
    ( ~ group_element(e_2)
    | ~ group_element(e_3)
    | product(e_2,e_3,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | ~ spl0_10 ),
    inference(resolution,[],[f152,f15]) ).

fof(f489,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f7,f36,f13]) ).

fof(f462,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f461]) ).

fof(f461,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f36,f281]) ).

fof(f281,plain,
    ( ~ product(e_3,e_3,e_1)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f5,f24,f11]) ).

fof(f455,plain,
    ( ~ spl0_1
    | spl0_7
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f454]) ).

fof(f454,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | spl0_13
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f446,f394]) ).

fof(f394,plain,
    ( product(e_1,e_3,e_1)
    | ~ spl0_1
    | spl0_13 ),
    inference(unit_resulting_resolution,[],[f1,f3,f190,f293,f10]) ).

fof(f293,plain,
    ( ~ product(e_1,e_3,e_3)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f5,f24,f13]) ).

fof(f1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).

fof(f446,plain,
    ( ~ product(e_1,e_3,e_1)
    | spl0_7
    | ~ spl0_16 ),
    inference(unit_resulting_resolution,[],[f112,f203,f14]) ).

fof(f203,plain,
    ( product(e_3,e_1,e_1)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f201,plain,
    ( spl0_16
  <=> product(e_3,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f112,plain,
    ( ~ product(e_1,e_1,e_1)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f427,plain,
    ( spl0_16
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f354,f150,f22,f201]) ).

fof(f354,plain,
    ( product(e_3,e_1,e_1)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f353,f3]) ).

fof(f353,plain,
    ( ~ group_element(e_3)
    | product(e_3,e_1,e_1)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f352,f1]) ).

fof(f352,plain,
    ( ~ group_element(e_1)
    | product(e_3,e_1,e_1)
    | ~ group_element(e_3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f346,f314]) ).

fof(f314,plain,
    ( ~ product(e_3,e_1,e_2)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f6,f152,f12]) ).

fof(f6,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f346,plain,
    ( product(e_3,e_1,e_2)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | product(e_3,e_1,e_1)
    | ~ spl0_1 ),
    inference(resolution,[],[f283,f10]) ).

fof(f283,plain,
    ( ~ product(e_3,e_1,e_3)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f8,f24,f12]) ).

fof(f426,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f212,f43,f423,f419]) ).

fof(f43,plain,
    ( spl0_5
  <=> ! [X1] :
        ( ~ group_element(X1)
        | product(X1,e_2,e_1)
        | product(X1,e_2,e_2)
        | product(e_2,X1,e_2)
        | product(e_2,X1,e_1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f212,plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | product(e_2,e_2,e_1)
    | ~ spl0_5 ),
    inference(resolution,[],[f44,f2]) ).

fof(f44,plain,
    ( ! [X1] :
        ( ~ group_element(X1)
        | product(e_2,X1,e_2)
        | product(e_2,X1,e_1)
        | product(X1,e_2,e_2)
        | product(X1,e_2,e_1) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f386,plain,
    ( ~ spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f385]) ).

fof(f385,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f361,f191]) ).

fof(f191,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f361,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f5,f117,f12]) ).

fof(f351,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f350]) ).

fof(f350,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f349,f3]) ).

fof(f349,plain,
    ( ~ group_element(e_3)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f348,f1]) ).

fof(f348,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_3)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f347,f314]) ).

fof(f347,plain,
    ( product(e_3,e_1,e_2)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f346,f131]) ).

fof(f131,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ spl0_7 ),
    inference(unit_resulting_resolution,[],[f5,f113,f13]) ).

fof(f276,plain,
    ( ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f250,f152]) ).

fof(f250,plain,
    ( ~ product(e_3,e_2,e_2)
    | ~ spl0_4 ),
    inference(unit_resulting_resolution,[],[f9,f40,f12]) ).

fof(f40,plain,
    ( product(e_3,e_3,e_2)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_4
  <=> product(e_3,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f272,plain,
    ( ~ spl0_4
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f271]) ).

fof(f271,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f253,f195]) ).

fof(f195,plain,
    ( product(e_3,e_1,e_2)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f253,plain,
    ( ~ product(e_3,e_1,e_2)
    | ~ spl0_4 ),
    inference(unit_resulting_resolution,[],[f5,f40,f12]) ).

fof(f208,plain,
    ( ~ spl0_3
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f207]) ).

fof(f207,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f36,f168]) ).

fof(f168,plain,
    ( ~ product(e_3,e_3,e_1)
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f7,f148,f12]) ).

fof(f206,plain,
    ( ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f205]) ).

fof(f205,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f191,f96]) ).

fof(f96,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ spl0_4 ),
    inference(unit_resulting_resolution,[],[f8,f40,f13]) ).

fof(f161,plain,
    ( spl0_9
    | spl0_10
    | spl0_11
    | spl0_12
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f30,f26,f158,f154,f150,f146]) ).

fof(f26,plain,
    ( spl0_2
  <=> ! [X0] :
        ( product(e_3,X0,e_2)
        | product(e_3,X0,e_1)
        | product(X0,e_3,e_1)
        | ~ group_element(X0)
        | product(X0,e_3,e_2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f30,plain,
    ( product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | ~ spl0_2 ),
    inference(resolution,[],[f27,f2]) ).

fof(f27,plain,
    ( ! [X0] :
        ( ~ group_element(X0)
        | product(e_3,X0,e_1)
        | product(X0,e_3,e_1)
        | product(X0,e_3,e_2)
        | product(e_3,X0,e_2) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f118,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f83,f47,f115,f111]) ).

fof(f83,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f82]) ).

fof(f82,plain,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1)
    | ~ spl0_6 ),
    inference(resolution,[],[f48,f1]) ).

fof(f79,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f78]) ).

fof(f78,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f54,f40]) ).

fof(f54,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f6,f36,f11]) ).

fof(f49,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f20,f47,f34]) ).

fof(f20,plain,
    ! [X2] :
      ( ~ group_element(X2)
      | product(e_1,X2,e_2)
      | product(X2,e_1,e_2)
      | product(X2,e_1,e_1)
      | product(e_3,e_3,e_1)
      | product(e_1,X2,e_1) ),
    inference(resolution,[],[f17,f1]) ).

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

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

fof(f45,plain,
    ( spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f19,f38,f43]) ).

fof(f19,plain,
    ! [X1] :
      ( product(e_3,e_3,e_2)
      | ~ group_element(X1)
      | product(e_2,X1,e_1)
      | product(e_2,X1,e_2)
      | product(X1,e_2,e_2)
      | product(X1,e_2,e_1) ),
    inference(resolution,[],[f17,f2]) ).

fof(f41,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f32,f26,f38,f34]) ).

fof(f32,plain,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1)
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_2)
    | ~ spl0_2 ),
    inference(resolution,[],[f27,f3]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : GRP134-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:12:17 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (29014)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.25/0.51  % (28999)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.25/0.51  % (28999)Instruction limit reached!
% 1.25/0.51  % (28999)------------------------------
% 1.25/0.51  % (28999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.51  % (28999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.51  % (28999)Termination reason: Unknown
% 1.25/0.51  % (28999)Termination phase: Saturation
% 1.25/0.51  
% 1.25/0.51  % (28999)Memory used [KB]: 5756
% 1.25/0.51  % (28999)Time elapsed: 0.095 s
% 1.25/0.51  % (28999)Instructions burned: 3 (million)
% 1.25/0.51  % (28999)------------------------------
% 1.25/0.51  % (28999)------------------------------
% 1.25/0.51  % (28997)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.25/0.52  % (29000)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.37/0.53  % (28998)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.37/0.53  % (28998)Instruction limit reached!
% 1.37/0.53  % (28998)------------------------------
% 1.37/0.53  % (28998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (28998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (28998)Termination reason: Unknown
% 1.37/0.53  % (28998)Termination phase: Saturation
% 1.37/0.53  
% 1.37/0.53  % (28998)Memory used [KB]: 5884
% 1.37/0.53  % (28998)Time elapsed: 0.124 s
% 1.37/0.53  % (28998)Instructions burned: 6 (million)
% 1.37/0.53  % (28998)------------------------------
% 1.37/0.53  % (28998)------------------------------
% 1.37/0.53  % (28990)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.37/0.53  % (28990)Refutation not found, incomplete strategy% (28990)------------------------------
% 1.37/0.53  % (28990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (28990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (28990)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.53  
% 1.37/0.53  % (28990)Memory used [KB]: 5756
% 1.37/0.53  % (28990)Time elapsed: 0.128 s
% 1.37/0.53  % (28990)Instructions burned: 1 (million)
% 1.37/0.53  % (28990)------------------------------
% 1.37/0.53  % (28990)------------------------------
% 1.37/0.53  % (29006)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.37/0.53  % (29014)Instruction limit reached!
% 1.37/0.53  % (29014)------------------------------
% 1.37/0.53  % (29014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (29014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (29014)Termination reason: Unknown
% 1.37/0.53  % (29014)Termination phase: Saturation
% 1.37/0.53  
% 1.37/0.53  % (29014)Memory used [KB]: 5884
% 1.37/0.53  % (29014)Time elapsed: 0.114 s
% 1.37/0.53  % (29014)Instructions burned: 20 (million)
% 1.37/0.53  % (29014)------------------------------
% 1.37/0.53  % (29014)------------------------------
% 1.37/0.53  % (29006)Refutation not found, incomplete strategy% (29006)------------------------------
% 1.37/0.53  % (29006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (29006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (29006)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.53  
% 1.37/0.53  % (29006)Memory used [KB]: 1279
% 1.37/0.53  % (29006)Time elapsed: 0.123 s
% 1.37/0.53  % (29006)Instructions burned: 2 (million)
% 1.37/0.53  % (29006)------------------------------
% 1.37/0.53  % (29006)------------------------------
% 1.37/0.53  % (28987)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.37/0.53  % (28989)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.37/0.53  % (28988)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.37/0.53  % (28989)Refutation not found, incomplete strategy% (28989)------------------------------
% 1.37/0.53  % (28989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (28989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (28989)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.53  
% 1.37/0.53  % (28989)Memory used [KB]: 5756
% 1.37/0.53  % (28989)Time elapsed: 0.125 s
% 1.37/0.53  % (28989)Instructions burned: 1 (million)
% 1.37/0.53  % (28989)------------------------------
% 1.37/0.53  % (28989)------------------------------
% 1.37/0.53  % (28988)Refutation not found, incomplete strategy% (28988)------------------------------
% 1.37/0.53  % (28988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53  % (28988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53  % (28988)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.53  
% 1.37/0.53  % (28988)Memory used [KB]: 5756
% 1.37/0.53  % (28988)Time elapsed: 0.125 s
% 1.37/0.53  % (28988)Instructions burned: 1 (million)
% 1.37/0.53  % (28988)------------------------------
% 1.37/0.53  % (28988)------------------------------
% 1.37/0.54  % (28991)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.37/0.54  % (28995)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.54  % (28996)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.37/0.54  % (28996)Refutation not found, incomplete strategy% (28996)------------------------------
% 1.37/0.54  % (28996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (29008)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.37/0.54  % (28996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (28996)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.54  
% 1.37/0.54  % (28996)Memory used [KB]: 5756
% 1.37/0.54  % (28996)Time elapsed: 0.133 s
% 1.37/0.54  % (28996)------------------------------
% 1.37/0.54  % (28996)------------------------------
% 1.37/0.54  % (29015)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.54  % (29013)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.37/0.54  % (29013)Refutation not found, incomplete strategy% (29013)------------------------------
% 1.37/0.54  % (29013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (29013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (29013)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.54  
% 1.37/0.54  % (29013)Memory used [KB]: 1279
% 1.37/0.54  % (29013)Time elapsed: 0.140 s
% 1.37/0.54  % (29013)------------------------------
% 1.37/0.54  % (29013)------------------------------
% 1.37/0.54  % (29005)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.54  % (29005)Refutation not found, incomplete strategy% (29005)------------------------------
% 1.37/0.54  % (29005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (29005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (29005)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.54  
% 1.37/0.54  % (29005)Memory used [KB]: 5756
% 1.37/0.54  % (29005)Time elapsed: 0.144 s
% 1.37/0.54  % (29005)------------------------------
% 1.37/0.54  % (29005)------------------------------
% 1.37/0.54  % (29002)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.37/0.54  % (29002)Refutation not found, incomplete strategy% (29002)------------------------------
% 1.37/0.54  % (29002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54  % (29002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54  % (29002)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.54  
% 1.37/0.54  % (29002)Memory used [KB]: 5756
% 1.37/0.54  % (29002)Time elapsed: 0.137 s
% 1.37/0.54  % (29002)------------------------------
% 1.37/0.54  % (29002)------------------------------
% 1.37/0.55  % (29012)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.37/0.55  % (29012)Refutation not found, incomplete strategy% (29012)------------------------------
% 1.37/0.55  % (29012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (29012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (28997)Instruction limit reached!
% 1.37/0.55  % (28997)------------------------------
% 1.37/0.55  % (28997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (29012)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.55  
% 1.37/0.55  % (28997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (29012)Memory used [KB]: 5756
% 1.37/0.55  % (28997)Termination reason: Unknown
% 1.37/0.55  % (29012)Time elapsed: 0.137 s
% 1.37/0.55  % (28997)Termination phase: Saturation
% 1.37/0.55  
% 1.37/0.55  % (29012)------------------------------
% 1.37/0.55  % (29012)------------------------------
% 1.37/0.55  % (28997)Memory used [KB]: 5884
% 1.37/0.55  % (28997)Time elapsed: 0.143 s
% 1.37/0.55  % (28997)Instructions burned: 24 (million)
% 1.37/0.55  % (28997)------------------------------
% 1.37/0.55  % (28997)------------------------------
% 1.37/0.55  % (29009)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.37/0.55  % (29011)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.37/0.55  % (29011)Refutation not found, incomplete strategy% (29011)------------------------------
% 1.37/0.55  % (29011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (29011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (29011)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.55  
% 1.37/0.55  % (29011)Memory used [KB]: 5756
% 1.37/0.55  % (29011)Time elapsed: 0.147 s
% 1.37/0.55  % (29011)Instructions burned: 1 (million)
% 1.37/0.55  % (29011)------------------------------
% 1.37/0.55  % (29011)------------------------------
% 1.37/0.55  % (28994)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.37/0.55  % (28992)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.37/0.55  % (29004)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.37/0.55  % (29004)Refutation not found, incomplete strategy% (29004)------------------------------
% 1.37/0.55  % (29004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (29004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (29004)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.55  
% 1.37/0.55  % (29004)Memory used [KB]: 10234
% 1.37/0.55  % (29004)Time elapsed: 0.150 s
% 1.37/0.55  % (29004)Instructions burned: 2 (million)
% 1.37/0.55  % (29004)------------------------------
% 1.37/0.55  % (29004)------------------------------
% 1.37/0.55  % (29010)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.37/0.55  % (29003)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.37/0.55  % (29001)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.37/0.56  Detected maximum model sizes of [3]
% 1.37/0.56  TRYING [1]
% 1.37/0.56  % (28986)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.37/0.56  % (29007)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.37/0.56  % (29007)Refutation not found, incomplete strategy% (29007)------------------------------
% 1.37/0.56  % (29007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56  % (29007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56  % (29007)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.56  
% 1.37/0.56  % (29007)Memory used [KB]: 5756
% 1.37/0.56  % (29007)Time elapsed: 0.137 s
% 1.37/0.56  % (29007)------------------------------
% 1.37/0.56  % (29007)------------------------------
% 1.37/0.56  % (29003)Instruction limit reached!
% 1.37/0.56  % (29003)------------------------------
% 1.37/0.56  % (29003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56  % (29003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56  % (29003)Termination reason: Unknown
% 1.37/0.56  % (29003)Termination phase: Saturation
% 1.37/0.56  
% 1.37/0.56  % (29003)Memory used [KB]: 5884
% 1.37/0.56  % (29003)Time elapsed: 0.153 s
% 1.37/0.56  % (29003)Instructions burned: 8 (million)
% 1.37/0.56  % (29003)------------------------------
% 1.37/0.56  % (29003)------------------------------
% 1.37/0.56  % (28994)Instruction limit reached!
% 1.37/0.56  % (28994)------------------------------
% 1.37/0.56  % (28994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.56  % (28994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.56  % (28994)Termination reason: Unknown
% 1.37/0.56  % (28994)Termination phase: Saturation
% 1.37/0.56  
% 1.37/0.56  % (28994)Memory used [KB]: 5756
% 1.37/0.56  % (28994)Time elapsed: 0.149 s
% 1.37/0.56  % (28994)Instructions burned: 4 (million)
% 1.37/0.56  % (28994)------------------------------
% 1.37/0.56  % (28994)------------------------------
% 1.37/0.57  % (28993)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.57  % (28991)Instruction limit reached!
% 1.37/0.57  % (28991)------------------------------
% 1.37/0.57  % (28991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.57  % (28991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.57  % (28991)Termination reason: Unknown
% 1.37/0.57  % (28991)Termination phase: Saturation
% 1.37/0.57  
% 1.37/0.57  % (28991)Memory used [KB]: 5884
% 1.37/0.57  % (28991)Time elapsed: 0.157 s
% 1.37/0.57  % (28991)Instructions burned: 27 (million)
% 1.37/0.57  % (28991)------------------------------
% 1.37/0.57  % (28991)------------------------------
% 1.37/0.57  % (29000)Instruction limit reached!
% 1.37/0.57  % (29000)------------------------------
% 1.37/0.57  % (29000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.57  % (29008)First to succeed.
% 1.37/0.57  % (28987)Instruction limit reached!
% 1.37/0.57  % (28987)------------------------------
% 1.37/0.57  % (28987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.58  TRYING [2]
% 1.37/0.58  TRYING [3]
% 1.37/0.58  % (29000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.58  % (29000)Termination reason: Unknown
% 1.37/0.58  % (29000)Termination phase: Saturation
% 1.37/0.58  
% 1.37/0.58  % (29000)Memory used [KB]: 1407
% 1.37/0.58  % (29000)Time elapsed: 0.108 s
% 1.37/0.58  % (29000)Instructions burned: 30 (million)
% 1.37/0.58  % (29000)------------------------------
% 1.37/0.58  % (29000)------------------------------
% 1.37/0.58  % (28987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.58  % (28987)Termination reason: Unknown
% 1.37/0.58  % (28987)Termination phase: Saturation
% 1.37/0.58  
% 1.37/0.58  % (28987)Memory used [KB]: 1407
% 1.37/0.58  % (28987)Time elapsed: 0.166 s
% 1.37/0.58  % (28987)Instructions burned: 42 (million)
% 1.37/0.58  % (28987)------------------------------
% 1.37/0.58  % (28987)------------------------------
% 1.37/0.58  % (29008)Refutation found. Thanks to Tanya!
% 1.37/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.37/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.58  % (29008)------------------------------
% 1.37/0.58  % (29008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.58  % (29008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.58  % (29008)Termination reason: Refutation
% 1.37/0.58  
% 1.37/0.58  % (29008)Memory used [KB]: 6012
% 1.37/0.58  % (29008)Time elapsed: 0.107 s
% 1.37/0.58  % (29008)Instructions burned: 22 (million)
% 1.37/0.58  % (29008)------------------------------
% 1.37/0.58  % (29008)------------------------------
% 1.37/0.58  % (28985)Success in time 0.213 s
%------------------------------------------------------------------------------