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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n018.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 16:14:23 EDT 2022

% Result   : Unsatisfiable 2.20s 0.65s
% Output   : Refutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  242 (  31 unt;   0 def)
%            Number of atoms       :  767 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  831 ( 306   ~; 496   |;   0   &)
%                                         (  29 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   33 (  32 usr;  30 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f100,f148,f223,f274,f325,f380,f430,f468,f556,f605,f660,f694,f719,f728,f861,f907,f1172,f1242,f1244,f1354,f1356,f1575,f1577,f1579,f1715,f1758,f1760,f1815,f1958,f2054,f2096,f2098,f2100,f2102]) ).

fof(f2102,plain,
    ( ~ spl0_14
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f2101]) ).

fof(f2101,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f714,f1883]) ).

fof(f1883,plain,
    ( ~ product(e_2,e_3,e_3)
    | ~ spl0_14 ),
    inference(unit_resulting_resolution,[],[f34,f472,f40]) ).

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(f472,plain,
    ( product(e_2,e_4,e_3)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl0_14
  <=> product(e_2,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f34,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).

fof(f714,plain,
    ( product(e_2,e_3,e_3)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f712,plain,
    ( spl0_31
  <=> product(e_2,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2100,plain,
    ( ~ spl0_22
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f2099]) ).

fof(f2099,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f706,f1926]) ).

fof(f1926,plain,
    ( ~ product(e_2,e_3,e_2)
    | ~ spl0_22 ),
    inference(unit_resulting_resolution,[],[f26,f539,f41]) ).

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

fof(f539,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl0_22
  <=> product(e_1,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

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

fof(f706,plain,
    ( product(e_2,e_3,e_2)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f704,plain,
    ( spl0_29
  <=> product(e_2,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f2098,plain,
    ( ~ spl0_19
    | ~ spl0_32 ),
    inference(avatar_contradiction_clause,[],[f2097]) ).

fof(f2097,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f718,f1983]) ).

fof(f1983,plain,
    ( ~ product(e_3,e_2,e_1)
    | ~ spl0_19 ),
    inference(unit_resulting_resolution,[],[f34,f492,f41]) ).

fof(f492,plain,
    ( product(e_4,e_2,e_1)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f490,plain,
    ( spl0_19
  <=> product(e_4,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f718,plain,
    ( product(e_3,e_2,e_1)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f716,plain,
    ( spl0_32
  <=> product(e_3,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f2096,plain,
    ( spl0_10
    | ~ spl0_19
    | ~ spl0_27
    | spl0_28
    | spl0_30 ),
    inference(avatar_contradiction_clause,[],[f2095]) ).

fof(f2095,plain,
    ( $false
    | spl0_10
    | ~ spl0_19
    | ~ spl0_27
    | spl0_28
    | spl0_30 ),
    inference(subsumption_resolution,[],[f2094,f709]) ).

fof(f709,plain,
    ( ~ product(e_3,e_2,e_2)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f708,plain,
    ( spl0_30
  <=> product(e_3,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f2094,plain,
    ( product(e_3,e_2,e_2)
    | spl0_10
    | ~ spl0_19
    | ~ spl0_27
    | spl0_28 ),
    inference(subsumption_resolution,[],[f2093,f23]) ).

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

fof(f2093,plain,
    ( ~ group_element(e_2)
    | product(e_3,e_2,e_2)
    | spl0_10
    | ~ spl0_19
    | ~ spl0_27
    | spl0_28 ),
    inference(subsumption_resolution,[],[f2092,f24]) ).

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

fof(f2092,plain,
    ( ~ group_element(e_3)
    | product(e_3,e_2,e_2)
    | ~ group_element(e_2)
    | spl0_10
    | ~ spl0_19
    | ~ spl0_27
    | spl0_28 ),
    inference(subsumption_resolution,[],[f2091,f701]) ).

fof(f701,plain,
    ( ~ product(e_3,e_2,e_3)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f700,plain,
    ( spl0_28
  <=> product(e_3,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2091,plain,
    ( product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | ~ group_element(e_2)
    | ~ group_element(e_3)
    | spl0_10
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f2090,f209]) ).

fof(f209,plain,
    ( ~ product(e_1,e_4,e_3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f208,plain,
    ( spl0_10
  <=> product(e_1,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2090,plain,
    ( product(e_1,e_4,e_3)
    | product(e_3,e_2,e_3)
    | ~ group_element(e_2)
    | product(e_3,e_2,e_2)
    | ~ group_element(e_3)
    | ~ spl0_19
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f2085,f1983]) ).

fof(f2085,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_3)
    | ~ group_element(e_2)
    | ~ group_element(e_3)
    | product(e_3,e_2,e_2)
    | product(e_1,e_4,e_3)
    | ~ spl0_27 ),
    inference(resolution,[],[f698,f46]) ).

fof(f46,plain,
    ! [X2,X3,X4] :
      ( ~ product(X4,X3,X2)
      | product(X3,X4,e_2)
      | product(X2,e_4,X3)
      | product(X3,X4,e_1)
      | product(X3,X4,e_3)
      | ~ group_element(X4)
      | ~ group_element(X3) ),
    inference(resolution,[],[f43,f38]) ).

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

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

fof(f698,plain,
    ( product(e_2,e_3,e_1)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f696,plain,
    ( spl0_27
  <=> product(e_2,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f2054,plain,
    ~ spl0_30,
    inference(avatar_contradiction_clause,[],[f2053]) ).

fof(f2053,plain,
    ( $false
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f2016,f33]) ).

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

fof(f2016,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_30 ),
    inference(unit_resulting_resolution,[],[f42,f710,f41]) ).

fof(f710,plain,
    ( product(e_3,e_2,e_2)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f708]) ).

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

fof(f1958,plain,
    ( spl0_19
    | spl0_21
    | ~ spl0_22
    | spl0_25
    | spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1957]) ).

fof(f1957,plain,
    ( $false
    | spl0_19
    | spl0_21
    | ~ spl0_22
    | spl0_25
    | spl0_26 ),
    inference(subsumption_resolution,[],[f1955,f1936]) ).

fof(f1936,plain,
    ( ~ product(e_3,e_1,e_4)
    | spl0_19
    | ~ spl0_22 ),
    inference(unit_resulting_resolution,[],[f491,f539,f43]) ).

fof(f491,plain,
    ( ~ product(e_4,e_2,e_1)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f1955,plain,
    ( product(e_3,e_1,e_4)
    | spl0_21
    | spl0_25
    | spl0_26 ),
    inference(unit_resulting_resolution,[],[f24,f22,f534,f550,f554,f38]) ).

fof(f554,plain,
    ( ~ product(e_3,e_1,e_2)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f553,plain,
    ( spl0_26
  <=> product(e_3,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f550,plain,
    ( ~ product(e_3,e_1,e_1)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f549,plain,
    ( spl0_25
  <=> product(e_3,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f534,plain,
    ( ~ product(e_3,e_1,e_3)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f533,plain,
    ( spl0_21
  <=> product(e_3,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

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

fof(f1815,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f1814]) ).

fof(f1814,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f1785,f29]) ).

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

fof(f1785,plain,
    ( equalish(e_2,e_1)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f42,f75,f40]) ).

fof(f75,plain,
    ( product(e_2,e_1,e_2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl0_1
  <=> product(e_2,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1760,plain,
    ( ~ spl0_7
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f1759]) ).

fof(f1759,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f1736,f702]) ).

fof(f702,plain,
    ( product(e_3,e_2,e_3)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f1736,plain,
    ( ~ product(e_3,e_2,e_3)
    | ~ spl0_7 ),
    inference(unit_resulting_resolution,[],[f27,f99,f41]) ).

fof(f99,plain,
    ( product(e_1,e_2,e_3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl0_7
  <=> product(e_1,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

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

fof(f1758,plain,
    ( spl0_3
    | spl0_5
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1757]) ).

fof(f1757,plain,
    ( $false
    | spl0_3
    | spl0_5
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1756,f23]) ).

fof(f1756,plain,
    ( ~ group_element(e_2)
    | spl0_3
    | spl0_5
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1755,f1201]) ).

fof(f1201,plain,
    ( ~ product(e_2,e_1,e_2)
    | ~ spl0_26 ),
    inference(unit_resulting_resolution,[],[f30,f555,f41]) ).

fof(f555,plain,
    ( product(e_3,e_1,e_2)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f553]) ).

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

fof(f1755,plain,
    ( product(e_2,e_1,e_2)
    | ~ group_element(e_2)
    | spl0_3
    | spl0_5
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1754,f1194]) ).

fof(f1194,plain,
    ( ~ product(e_3,e_4,e_2)
    | ~ spl0_26 ),
    inference(unit_resulting_resolution,[],[f35,f555,f40]) ).

fof(f35,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).

fof(f1754,plain,
    ( product(e_3,e_4,e_2)
    | product(e_2,e_1,e_2)
    | ~ group_element(e_2)
    | spl0_3
    | spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1753,f82]) ).

fof(f82,plain,
    ( ~ product(e_2,e_1,e_3)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl0_3
  <=> product(e_2,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1753,plain,
    ( product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | ~ group_element(e_2)
    | product(e_3,e_4,e_2)
    | spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1752,f22]) ).

fof(f1752,plain,
    ( ~ group_element(e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_4,e_2)
    | ~ group_element(e_2)
    | spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1745,f90]) ).

fof(f90,plain,
    ( ~ product(e_2,e_1,e_1)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl0_5
  <=> product(e_2,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1745,plain,
    ( product(e_2,e_1,e_1)
    | ~ group_element(e_2)
    | product(e_3,e_4,e_2)
    | product(e_2,e_1,e_2)
    | ~ group_element(e_1)
    | product(e_2,e_1,e_3)
    | ~ spl0_7 ),
    inference(resolution,[],[f99,f46]) ).

fof(f1715,plain,
    ~ spl0_24,
    inference(avatar_contradiction_clause,[],[f1714]) ).

fof(f1714,plain,
    ( $false
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f1688,f27]) ).

fof(f1688,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_24 ),
    inference(unit_resulting_resolution,[],[f42,f547,f41]) ).

fof(f547,plain,
    ( product(e_1,e_3,e_3)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl0_24
  <=> product(e_1,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1579,plain,
    ( ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1578]) ).

fof(f1578,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f214,f1555]) ).

fof(f1555,plain,
    ( ~ product(e_4,e_4,e_1)
    | ~ spl0_16 ),
    inference(unit_resulting_resolution,[],[f36,f480,f41]) ).

fof(f480,plain,
    ( product(e_2,e_4,e_1)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl0_16
  <=> product(e_2,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

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

fof(f214,plain,
    ( product(e_4,e_4,e_1)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f212,plain,
    ( spl0_11
  <=> product(e_4,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1577,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1576]) ).

fof(f1576,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_16
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1539,f1392]) ).

fof(f1392,plain,
    ( product(e_2,e_4,e_4)
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1391,f1202]) ).

fof(f1202,plain,
    ( ~ product(e_4,e_1,e_2)
    | ~ spl0_26 ),
    inference(unit_resulting_resolution,[],[f37,f555,f41]) ).

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

fof(f1391,plain,
    ( product(e_4,e_1,e_2)
    | product(e_2,e_4,e_4)
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1390,f201]) ).

fof(f201,plain,
    ( ~ product(e_4,e_1,e_1)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f200,plain,
    ( spl0_8
  <=> product(e_4,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1390,plain,
    ( product(e_2,e_4,e_4)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1389,f22]) ).

fof(f1389,plain,
    ( ~ group_element(e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_4)
    | product(e_4,e_1,e_1)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1388,f1267]) ).

fof(f1267,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f31,f83,f41]) ).

fof(f83,plain,
    ( product(e_2,e_1,e_3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f31,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).

fof(f1388,plain,
    ( product(e_4,e_1,e_3)
    | product(e_2,e_4,e_4)
    | product(e_4,e_1,e_2)
    | ~ group_element(e_1)
    | product(e_4,e_1,e_1)
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1383,f25]) ).

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

fof(f1383,plain,
    ( ~ group_element(e_4)
    | ~ group_element(e_1)
    | product(e_2,e_4,e_4)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | ~ spl0_9 ),
    inference(resolution,[],[f206,f46]) ).

fof(f206,plain,
    ( product(e_1,e_4,e_2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f204,plain,
    ( spl0_9
  <=> product(e_1,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1539,plain,
    ( ~ product(e_2,e_4,e_4)
    | ~ spl0_16 ),
    inference(unit_resulting_resolution,[],[f35,f480,f39]) ).

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

fof(f1575,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_6
    | spl0_7
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1574,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | spl0_6
    | spl0_7
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1551,f1287]) ).

fof(f1287,plain,
    ( product(e_3,e_4,e_1)
    | spl0_2
    | ~ spl0_3
    | spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1286,f78]) ).

fof(f78,plain,
    ( ~ product(e_1,e_2,e_1)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f77,plain,
    ( spl0_2
  <=> product(e_1,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1286,plain,
    ( product(e_3,e_4,e_1)
    | product(e_1,e_2,e_1)
    | ~ spl0_3
    | spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1285,f94]) ).

fof(f94,plain,
    ( ~ product(e_1,e_2,e_2)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl0_6
  <=> product(e_1,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1285,plain,
    ( product(e_3,e_4,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ spl0_3
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1284,f98]) ).

fof(f98,plain,
    ( ~ product(e_1,e_2,e_3)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f1284,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_3,e_4,e_1)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1283,f23]) ).

fof(f1283,plain,
    ( ~ group_element(e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_3,e_4,e_1)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1278,f22]) ).

fof(f1278,plain,
    ( product(e_3,e_4,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_1)
    | ~ spl0_3 ),
    inference(resolution,[],[f83,f46]) ).

fof(f1551,plain,
    ( ~ product(e_3,e_4,e_1)
    | ~ spl0_16 ),
    inference(unit_resulting_resolution,[],[f30,f480,f41]) ).

fof(f1356,plain,
    ( ~ spl0_13
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1355]) ).

fof(f1355,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f222,f1202]) ).

fof(f222,plain,
    ( product(e_4,e_1,e_2)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl0_13
  <=> product(e_4,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1354,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f1353]) ).

fof(f1353,plain,
    ( $false
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1310,f35]) ).

fof(f1310,plain,
    ( equalish(e_4,e_1)
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f42,f218,f40]) ).

fof(f218,plain,
    ( product(e_1,e_4,e_1)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl0_12
  <=> product(e_1,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1244,plain,
    ( spl0_6
    | ~ spl0_22
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1243]) ).

fof(f1243,plain,
    ( $false
    | spl0_6
    | ~ spl0_22
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1205,f539]) ).

fof(f1205,plain,
    ( ~ product(e_1,e_3,e_2)
    | spl0_6
    | ~ spl0_26 ),
    inference(unit_resulting_resolution,[],[f432,f555,f43]) ).

fof(f432,plain,
    ( ~ product(e_2,e_2,e_1)
    | spl0_6 ),
    inference(unit_resulting_resolution,[],[f42,f94,f43]) ).

fof(f1242,plain,
    ( spl0_16
    | spl0_20
    | spl0_22
    | spl0_24
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1241]) ).

fof(f1241,plain,
    ( $false
    | spl0_16
    | spl0_20
    | spl0_22
    | spl0_24
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f546,f1240]) ).

fof(f1240,plain,
    ( product(e_1,e_3,e_3)
    | spl0_16
    | spl0_20
    | spl0_22
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1239,f24]) ).

fof(f1239,plain,
    ( ~ group_element(e_3)
    | product(e_1,e_3,e_3)
    | spl0_16
    | spl0_20
    | spl0_22
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1238,f530]) ).

fof(f530,plain,
    ( ~ product(e_1,e_3,e_1)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f529,plain,
    ( spl0_20
  <=> product(e_1,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1238,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | ~ group_element(e_3)
    | spl0_16
    | spl0_22
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1237,f22]) ).

fof(f1237,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | spl0_16
    | spl0_22
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1220,f479]) ).

fof(f479,plain,
    ( ~ product(e_2,e_4,e_1)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f1220,plain,
    ( product(e_2,e_4,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | spl0_22
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1211,f538]) ).

fof(f538,plain,
    ( ~ product(e_1,e_3,e_2)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1211,plain,
    ( ~ group_element(e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_4,e_1)
    | ~ group_element(e_1)
    | product(e_1,e_3,e_1)
    | ~ spl0_26 ),
    inference(resolution,[],[f555,f46]) ).

fof(f546,plain,
    ( ~ product(e_1,e_3,e_3)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f1172,plain,
    ~ spl0_25,
    inference(avatar_contradiction_clause,[],[f1171]) ).

fof(f1171,plain,
    ( $false
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f1133,f32]) ).

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

fof(f1133,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_25 ),
    inference(unit_resulting_resolution,[],[f42,f551,f41]) ).

fof(f551,plain,
    ( product(e_3,e_1,e_1)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f907,plain,
    ( ~ spl0_3
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f906]) ).

fof(f906,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f881,f472]) ).

fof(f881,plain,
    ( ~ product(e_2,e_4,e_3)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f35,f83,f40]) ).

fof(f861,plain,
    ~ spl0_23,
    inference(avatar_contradiction_clause,[],[f860]) ).

fof(f860,plain,
    ( $false
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f820,f42]) ).

fof(f820,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ spl0_23 ),
    inference(unit_resulting_resolution,[],[f37,f543,f39]) ).

fof(f543,plain,
    ( product(e_4,e_4,e_3)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f541,plain,
    ( spl0_23
  <=> product(e_4,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f728,plain,
    ( spl0_2
    | spl0_6
    | spl0_14
    | spl0_21
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f727]) ).

fof(f727,plain,
    ( $false
    | spl0_2
    | spl0_6
    | spl0_14
    | spl0_21
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f471,f726]) ).

fof(f726,plain,
    ( product(e_2,e_4,e_3)
    | spl0_2
    | spl0_6
    | spl0_21
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f725,f534]) ).

fof(f725,plain,
    ( product(e_2,e_4,e_3)
    | product(e_3,e_1,e_3)
    | spl0_2
    | spl0_6
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f724,f687]) ).

fof(f687,plain,
    ( ~ product(e_3,e_1,e_1)
    | spl0_2
    | ~ spl0_22 ),
    inference(unit_resulting_resolution,[],[f78,f539,f43]) ).

fof(f724,plain,
    ( product(e_2,e_4,e_3)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_3)
    | spl0_6
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f723,f24]) ).

fof(f723,plain,
    ( ~ group_element(e_3)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_1)
    | product(e_2,e_4,e_3)
    | spl0_6
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f722,f22]) ).

fof(f722,plain,
    ( product(e_2,e_4,e_3)
    | ~ group_element(e_1)
    | ~ group_element(e_3)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_3)
    | spl0_6
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f689,f688]) ).

fof(f688,plain,
    ( ~ product(e_3,e_1,e_2)
    | spl0_6
    | ~ spl0_22 ),
    inference(unit_resulting_resolution,[],[f432,f539,f43]) ).

fof(f689,plain,
    ( product(e_3,e_1,e_2)
    | ~ group_element(e_1)
    | product(e_2,e_4,e_3)
    | product(e_3,e_1,e_3)
    | ~ group_element(e_3)
    | product(e_3,e_1,e_1)
    | ~ spl0_22 ),
    inference(resolution,[],[f539,f46]) ).

fof(f471,plain,
    ( ~ product(e_2,e_4,e_3)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f719,plain,
    ( spl0_27
    | spl0_23
    | spl0_28
    | spl0_29
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f103,f716,f712,f708,f704,f700,f541,f696]) ).

fof(f103,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_3,e_3)
    | product(e_3,e_2,e_2)
    | product(e_2,e_3,e_2)
    | product(e_3,e_2,e_3)
    | product(e_4,e_4,e_3)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[],[f64,f24]) ).

fof(f64,plain,
    ! [X1] :
      ( ~ group_element(X1)
      | product(e_4,e_4,X1)
      | product(e_2,X1,e_2)
      | product(e_2,X1,e_1)
      | product(X1,e_2,e_2)
      | product(e_2,X1,e_3)
      | product(X1,e_2,e_3)
      | product(X1,e_2,e_1) ),
    inference(resolution,[],[f58,f23]) ).

fof(f58,plain,
    ! [X2,X1] :
      ( ~ group_element(X2)
      | product(X1,X2,e_1)
      | ~ group_element(X1)
      | product(X2,X1,e_2)
      | product(X2,X1,e_3)
      | product(X2,X1,e_1)
      | product(e_4,e_4,X1)
      | product(X1,X2,e_3)
      | product(X1,X2,e_2) ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f56,plain,
    ! [X2,X1] :
      ( product(X2,X1,e_2)
      | product(e_4,e_4,X1)
      | product(X1,X2,e_3)
      | ~ group_element(X2)
      | product(X1,X2,e_1)
      | ~ group_element(X1)
      | ~ group_element(X1)
      | product(X2,X1,e_3)
      | product(X2,X1,e_1)
      | ~ group_element(X2)
      | product(X1,X2,e_2) ),
    inference(resolution,[],[f46,f38]) ).

fof(f694,plain,
    ( ~ spl0_10
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f441,f97,f208]) ).

fof(f441,plain,
    ( ~ product(e_1,e_4,e_3)
    | ~ spl0_7 ),
    inference(unit_resulting_resolution,[],[f31,f99,f40]) ).

fof(f660,plain,
    ~ spl0_21,
    inference(avatar_contradiction_clause,[],[f659]) ).

fof(f659,plain,
    ( $false
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f627,f42]) ).

fof(f627,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ spl0_21 ),
    inference(unit_resulting_resolution,[],[f32,f535,f40]) ).

fof(f535,plain,
    ( product(e_3,e_1,e_3)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f605,plain,
    ~ spl0_20,
    inference(avatar_contradiction_clause,[],[f604]) ).

fof(f604,plain,
    ( $false
    | ~ spl0_20 ),
    inference(subsumption_resolution,[],[f569,f32]) ).

fof(f569,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_20 ),
    inference(unit_resulting_resolution,[],[f42,f531,f40]) ).

fof(f531,plain,
    ( product(e_1,e_3,e_1)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f556,plain,
    ( spl0_20
    | spl0_21
    | spl0_22
    | spl0_23
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f69,f553,f549,f545,f541,f537,f533,f529]) ).

fof(f69,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_4,e_4,e_3)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_1) ),
    inference(resolution,[],[f63,f24]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product(X0,e_1,e_1)
      | product(e_1,X0,e_3)
      | product(X0,e_1,e_3)
      | product(X0,e_1,e_2)
      | product(e_1,X0,e_2)
      | product(e_1,X0,e_1)
      | product(e_4,e_4,X0) ),
    inference(resolution,[],[f58,f22]) ).

fof(f468,plain,
    ( spl0_1
    | spl0_5
    | spl0_6
    | spl0_11
    | spl0_7
    | spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f275,f77,f81,f97,f212,f93,f89,f73]) ).

fof(f275,plain,
    ( product(e_2,e_1,e_3)
    | product(e_1,e_2,e_3)
    | product(e_4,e_4,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f101,f78]) ).

fof(f101,plain,
    ( product(e_1,e_2,e_3)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolution,[],[f64,f22]) ).

fof(f430,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f429]) ).

fof(f429,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f408,f29]) ).

fof(f408,plain,
    ( equalish(e_2,e_1)
    | ~ spl0_6 ),
    inference(unit_resulting_resolution,[],[f42,f95,f41]) ).

fof(f95,plain,
    ( product(e_1,e_2,e_2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f380,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f379]) ).

fof(f379,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f356,f26]) ).

fof(f356,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_5 ),
    inference(unit_resulting_resolution,[],[f42,f91,f41]) ).

fof(f91,plain,
    ( product(e_2,e_1,e_1)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f325,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f324]) ).

fof(f324,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f280,f31]) ).

fof(f280,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_4 ),
    inference(unit_resulting_resolution,[],[f42,f87,f39]) ).

fof(f87,plain,
    ( product(e_4,e_4,e_2)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl0_4
  <=> product(e_4,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f274,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f273,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f250,f28]) ).

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

fof(f250,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f42,f202,f41]) ).

fof(f202,plain,
    ( product(e_4,e_1,e_1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f223,plain,
    ( spl0_8
    | spl0_9
    | spl0_10
    | spl0_11
    | spl0_12
    | spl0_13
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f197,f81,f220,f216,f212,f208,f204,f200]) ).

fof(f197,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_4,e_4,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_1)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f192,f174]) ).

fof(f174,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f31,f83,f41]) ).

fof(f192,plain,
    ( product(e_4,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_4,e_1)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[],[f66,f22]) ).

fof(f66,plain,
    ! [X3] :
      ( ~ group_element(X3)
      | product(X3,e_4,e_2)
      | product(e_4,e_4,X3)
      | product(e_4,X3,e_3)
      | product(e_4,X3,e_2)
      | product(e_4,X3,e_1)
      | product(X3,e_4,e_3)
      | product(X3,e_4,e_1) ),
    inference(resolution,[],[f58,f25]) ).

fof(f148,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f147]) ).

fof(f147,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f120,f42]) ).

fof(f120,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f26,f79,f40]) ).

fof(f79,plain,
    ( product(e_1,e_2,e_1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f100,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f68,f97,f93,f89,f85,f81,f77,f73]) ).

fof(f68,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_2,e_1,e_3)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2) ),
    inference(resolution,[],[f63,f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % 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_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n018.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 22:18:39 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  % (15449)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)
% 0.20/0.50  % (15457)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)
% 0.20/0.51  % (15441)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)
% 0.20/0.51  % (15449)Instruction limit reached!
% 0.20/0.51  % (15449)------------------------------
% 0.20/0.51  % (15449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (15449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (15449)Termination reason: Unknown
% 0.20/0.51  % (15449)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (15449)Memory used [KB]: 1407
% 0.20/0.51  % (15449)Time elapsed: 0.090 s
% 0.20/0.51  % (15449)Instructions burned: 7 (million)
% 0.20/0.51  % (15449)------------------------------
% 0.20/0.51  % (15449)------------------------------
% 0.20/0.52  % (15457)Instruction limit reached!
% 0.20/0.52  % (15457)------------------------------
% 0.20/0.52  % (15457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (15457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (15457)Termination reason: Unknown
% 0.20/0.52  % (15457)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (15457)Memory used [KB]: 6012
% 0.20/0.52  % (15451)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)
% 0.20/0.52  % (15457)Time elapsed: 0.098 s
% 0.20/0.52  % (15457)Instructions burned: 20 (million)
% 0.20/0.52  % (15457)------------------------------
% 0.20/0.52  % (15457)------------------------------
% 0.20/0.53  % (15443)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)
% 0.20/0.53  % (15455)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)
% 0.20/0.53  % (15455)Refutation not found, incomplete strategy% (15455)------------------------------
% 0.20/0.53  % (15455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (15455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (15455)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (15455)Memory used [KB]: 5884
% 0.20/0.53  % (15455)Time elapsed: 0.119 s
% 0.20/0.53  % (15455)Instructions burned: 2 (million)
% 0.20/0.53  % (15455)------------------------------
% 0.20/0.53  % (15455)------------------------------
% 0.20/0.53  % (15441)Instruction limit reached!
% 0.20/0.53  % (15441)------------------------------
% 0.20/0.53  % (15441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (15441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (15441)Termination reason: Unknown
% 0.20/0.53  % (15441)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (15441)Memory used [KB]: 5884
% 0.20/0.53  % (15441)Time elapsed: 0.098 s
% 0.20/0.53  % (15441)Instructions burned: 5 (million)
% 0.20/0.53  % (15441)------------------------------
% 0.20/0.53  % (15441)------------------------------
% 0.20/0.53  % (15432)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)
% 0.20/0.53  % (15432)Refutation not found, incomplete strategy% (15432)------------------------------
% 0.20/0.53  % (15432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (15432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (15432)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (15432)Memory used [KB]: 5884
% 0.20/0.53  % (15432)Time elapsed: 0.097 s
% 0.20/0.53  % (15432)------------------------------
% 0.20/0.53  % (15432)------------------------------
% 0.20/0.53  % (15430)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)
% 0.20/0.53  % (15447)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)
% 0.20/0.53  % (15447)Refutation not found, incomplete strategy% (15447)------------------------------
% 0.20/0.53  % (15447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (15447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (15447)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (15447)Memory used [KB]: 10362
% 0.20/0.53  % (15447)Time elapsed: 0.128 s
% 0.20/0.53  % (15447)Instructions burned: 2 (million)
% 0.20/0.53  % (15447)------------------------------
% 0.20/0.53  % (15447)------------------------------
% 0.20/0.53  % (15456)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)
% 0.20/0.53  % (15436)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)
% 0.20/0.53  % (15454)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)
% 0.20/0.53  % (15456)Refutation not found, incomplete strategy% (15456)------------------------------
% 0.20/0.53  % (15456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (15456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (15456)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (15456)Memory used [KB]: 1279
% 0.20/0.53  % (15456)Time elapsed: 0.129 s
% 0.20/0.53  % (15456)Instructions burned: 2 (million)
% 0.20/0.53  % (15456)------------------------------
% 0.20/0.53  % (15456)------------------------------
% 0.20/0.53  % (15458)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)
% 0.20/0.54  % (15439)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)
% 0.20/0.54  % (15433)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)
% 0.20/0.54  % (15433)Refutation not found, incomplete strategy% (15433)------------------------------
% 0.20/0.54  % (15433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15433)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (15433)Memory used [KB]: 5756
% 0.20/0.54  % (15433)Time elapsed: 0.127 s
% 0.20/0.54  % (15433)Instructions burned: 2 (million)
% 0.20/0.54  % (15433)------------------------------
% 0.20/0.54  % (15433)------------------------------
% 0.20/0.54  % (15431)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)
% 0.20/0.54  % (15434)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54  % (15431)Refutation not found, incomplete strategy% (15431)------------------------------
% 0.20/0.54  % (15431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15431)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (15431)Memory used [KB]: 5884
% 0.20/0.54  % (15431)Time elapsed: 0.124 s
% 0.20/0.54  % (15431)Instructions burned: 2 (million)
% 0.20/0.54  % (15431)------------------------------
% 0.20/0.54  % (15431)------------------------------
% 0.20/0.54  % (15439)Instruction limit reached!
% 0.20/0.54  % (15439)------------------------------
% 0.20/0.54  % (15439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15439)Termination reason: Unknown
% 0.20/0.54  % (15439)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (15439)Memory used [KB]: 5884
% 0.20/0.54  % (15439)Time elapsed: 0.132 s
% 0.20/0.54  % (15439)Instructions burned: 6 (million)
% 0.20/0.54  % (15439)------------------------------
% 0.20/0.54  % (15439)------------------------------
% 0.20/0.54  % (15435)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)
% 0.20/0.54  % (15448)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)
% 0.20/0.54  % (15445)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)
% 0.20/0.54  % (15445)Refutation not found, incomplete strategy% (15445)------------------------------
% 0.20/0.54  % (15445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15445)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (15445)Memory used [KB]: 5884
% 0.20/0.54  % (15445)Time elapsed: 0.128 s
% 0.20/0.54  % (15445)Instructions burned: 1 (million)
% 0.20/0.54  % (15445)------------------------------
% 0.20/0.54  % (15445)------------------------------
% 0.20/0.54  % (15429)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54  % (15446)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54  % (15448)Instruction limit reached!
% 0.20/0.54  % (15448)------------------------------
% 0.20/0.54  % (15448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15448)Termination reason: Unknown
% 0.20/0.54  % (15448)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (15448)Memory used [KB]: 6012
% 0.20/0.54  % (15448)Time elapsed: 0.133 s
% 0.20/0.54  % (15448)Instructions burned: 7 (million)
% 0.20/0.54  % (15448)------------------------------
% 0.20/0.54  % (15448)------------------------------
% 0.20/0.54  % (15453)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)
% 0.20/0.54  % (15440)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)
% 0.20/0.55  % (15450)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)
% 0.20/0.55  % (15450)Refutation not found, incomplete strategy% (15450)------------------------------
% 0.20/0.55  % (15450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (15450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (15450)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (15450)Memory used [KB]: 5884
% 0.20/0.55  % (15450)Time elapsed: 0.139 s
% 0.20/0.55  % (15450)Instructions burned: 1 (million)
% 0.20/0.55  % (15450)------------------------------
% 0.20/0.55  % (15450)------------------------------
% 0.20/0.55  % (15438)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)
% 0.20/0.55  % (15452)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)
% 0.20/0.55  % (15442)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)
% 0.20/0.55  % (15437)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)
% 0.20/0.55  % (15442)Instruction limit reached!
% 0.20/0.55  % (15442)------------------------------
% 0.20/0.55  % (15442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (15442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (15442)Termination reason: Unknown
% 0.20/0.55  % (15442)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (15442)Memory used [KB]: 5884
% 0.20/0.55  % (15442)Time elapsed: 0.141 s
% 0.20/0.55  % (15442)Instructions burned: 3 (million)
% 0.20/0.55  % (15442)------------------------------
% 0.20/0.55  % (15442)------------------------------
% 0.20/0.55  % (15437)Instruction limit reached!
% 0.20/0.55  % (15437)------------------------------
% 0.20/0.55  % (15437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (15437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (15437)Termination reason: Unknown
% 0.20/0.55  % (15437)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (15437)Memory used [KB]: 5884
% 0.20/0.55  % (15437)Time elapsed: 0.141 s
% 0.20/0.55  % (15437)Instructions burned: 5 (million)
% 0.20/0.55  % (15437)------------------------------
% 0.20/0.55  % (15437)------------------------------
% 0.20/0.55  % (15454)Refutation not found, incomplete strategy% (15454)------------------------------
% 0.20/0.55  % (15454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (15454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (15454)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (15454)Memory used [KB]: 5884
% 0.20/0.55  % (15454)Time elapsed: 0.129 s
% 0.20/0.55  % (15454)Instructions burned: 2 (million)
% 0.20/0.55  % (15454)------------------------------
% 0.20/0.55  % (15454)------------------------------
% 0.20/0.56  % (15444)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)
% 0.20/0.56  Detected maximum model sizes of [5]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 0.20/0.56  TRYING [3]
% 0.20/0.56  % (15444)Instruction limit reached!
% 0.20/0.56  % (15444)------------------------------
% 0.20/0.56  % (15444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (15444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (15444)Termination reason: Unknown
% 0.20/0.56  % (15444)Termination phase: Finite model building constraint generation
% 0.20/0.56  
% 0.20/0.56  % (15444)Memory used [KB]: 6012
% 0.20/0.56  % (15444)Time elapsed: 0.151 s
% 0.20/0.56  % (15444)Instructions burned: 8 (million)
% 0.20/0.56  % (15444)------------------------------
% 0.20/0.56  % (15444)------------------------------
% 0.20/0.56  % (15446)Instruction limit reached!
% 0.20/0.56  % (15446)------------------------------
% 0.20/0.56  % (15446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (15446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (15446)Termination reason: Unknown
% 0.20/0.56  % (15446)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (15446)Memory used [KB]: 6012
% 0.20/0.56  % (15446)Time elapsed: 0.144 s
% 0.20/0.56  % (15446)Instructions burned: 9 (million)
% 0.20/0.56  % (15446)------------------------------
% 0.20/0.56  % (15446)------------------------------
% 0.20/0.56  % (15434)Instruction limit reached!
% 0.20/0.56  % (15434)------------------------------
% 0.20/0.56  % (15434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (15434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (15434)Termination reason: Unknown
% 0.20/0.56  % (15434)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (15434)Memory used [KB]: 5884
% 0.20/0.56  % (15434)Time elapsed: 0.136 s
% 0.20/0.56  % (15434)Instructions burned: 25 (million)
% 0.20/0.56  % (15434)------------------------------
% 0.20/0.56  % (15434)------------------------------
% 0.20/0.57  % (15440)Instruction limit reached!
% 0.20/0.57  % (15440)------------------------------
% 0.20/0.57  % (15440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (15440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (15440)Termination reason: Unknown
% 0.20/0.57  % (15440)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (15440)Memory used [KB]: 6012
% 0.20/0.57  % (15440)Time elapsed: 0.174 s
% 0.20/0.57  % (15440)Instructions burned: 23 (million)
% 0.20/0.57  % (15440)------------------------------
% 0.20/0.57  % (15440)------------------------------
% 0.20/0.58  % (15430)Instruction limit reached!
% 0.20/0.58  % (15430)------------------------------
% 0.20/0.58  % (15430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (15430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (15430)Termination reason: Unknown
% 0.20/0.58  % (15430)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (15430)Memory used [KB]: 1535
% 0.20/0.58  % (15430)Time elapsed: 0.168 s
% 0.20/0.58  % (15430)Instructions burned: 42 (million)
% 0.20/0.58  % (15430)------------------------------
% 0.20/0.58  % (15430)------------------------------
% 0.20/0.58  % (15443)Instruction limit reached!
% 0.20/0.58  % (15443)------------------------------
% 0.20/0.58  % (15443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (15443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (15443)Termination reason: Unknown
% 0.20/0.58  % (15443)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (15443)Memory used [KB]: 1535
% 0.20/0.58  % (15443)Time elapsed: 0.146 s
% 0.20/0.58  % (15443)Instructions burned: 31 (million)
% 0.20/0.58  % (15443)------------------------------
% 0.20/0.58  % (15443)------------------------------
% 1.83/0.61  % (15435)Instruction limit reached!
% 1.83/0.61  % (15435)------------------------------
% 1.83/0.61  % (15435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.61  % (15435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.61  % (15435)Termination reason: Unknown
% 1.83/0.61  % (15435)Termination phase: Saturation
% 1.83/0.61  
% 2.00/0.62  % (15438)Instruction limit reached!
% 2.00/0.62  % (15438)------------------------------
% 2.00/0.62  % (15438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62  % (15438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (15438)Termination reason: Unknown
% 2.00/0.62  % (15438)Termination phase: Saturation
% 2.00/0.62  
% 2.00/0.62  % (15438)Memory used [KB]: 6140
% 2.00/0.62  % (15438)Time elapsed: 0.210 s
% 2.00/0.62  % (15438)Instructions burned: 52 (million)
% 2.00/0.62  % (15438)------------------------------
% 2.00/0.62  % (15438)------------------------------
% 2.00/0.62  % (15436)Refutation not found, non-redundant clauses discarded% (15436)------------------------------
% 2.00/0.62  % (15436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62  % (15436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (15436)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.00/0.62  
% 2.00/0.62  % (15436)Memory used [KB]: 6268
% 2.00/0.62  % (15436)Time elapsed: 0.189 s
% 2.00/0.62  % (15436)Instructions burned: 49 (million)
% 2.00/0.62  % (15436)------------------------------
% 2.00/0.62  % (15436)------------------------------
% 2.00/0.63  % (15453)Instruction limit reached!
% 2.00/0.63  % (15453)------------------------------
% 2.00/0.63  % (15453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.63  % (15453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.63  % (15453)Termination reason: Unknown
% 2.00/0.63  % (15453)Termination phase: Saturation
% 2.00/0.63  
% 2.00/0.63  % (15453)Memory used [KB]: 6268
% 2.00/0.63  % (15453)Time elapsed: 0.218 s
% 2.00/0.63  % (15453)Instructions burned: 46 (million)
% 2.00/0.63  % (15453)------------------------------
% 2.00/0.63  % (15453)------------------------------
% 2.00/0.63  % (15435)Memory used [KB]: 1535
% 2.00/0.63  % (15435)Time elapsed: 0.160 s
% 2.00/0.63  % (15435)Instructions burned: 50 (million)
% 2.00/0.63  % (15435)------------------------------
% 2.00/0.63  % (15435)------------------------------
% 2.00/0.63  % (15452)Instruction limit reached!
% 2.00/0.63  % (15452)------------------------------
% 2.00/0.63  % (15452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.63  % (15452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.63  % (15452)Termination reason: Unknown
% 2.00/0.63  % (15452)Termination phase: Saturation
% 2.00/0.63  
% 2.00/0.63  % (15452)Memory used [KB]: 6268
% 2.00/0.63  % (15452)Time elapsed: 0.223 s
% 2.00/0.63  % (15452)Instructions burned: 37 (million)
% 2.00/0.63  % (15452)------------------------------
% 2.00/0.63  % (15452)------------------------------
% 2.20/0.65  % (15451)First to succeed.
% 2.20/0.65  % (15451)Refutation found. Thanks to Tanya!
% 2.20/0.65  % SZS status Unsatisfiable for theBenchmark
% 2.20/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.20/0.65  % (15451)------------------------------
% 2.20/0.65  % (15451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65  % (15451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65  % (15451)Termination reason: Refutation
% 2.20/0.65  
% 2.20/0.65  % (15451)Memory used [KB]: 6396
% 2.20/0.65  % (15451)Time elapsed: 0.193 s
% 2.20/0.65  % (15451)Instructions burned: 61 (million)
% 2.20/0.65  % (15451)------------------------------
% 2.20/0.65  % (15451)------------------------------
% 2.20/0.65  % (15428)Success in time 0.277 s
%------------------------------------------------------------------------------