TSTP Solution File: GRP126-1.004 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP126-1.004 : 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 : n003.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 16:14:22 EDT 2022

% Result   : Unsatisfiable 2.09s 0.60s
% Output   : Refutation 2.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  207 (  31 unt;   0 def)
%            Number of atoms       :  665 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  717 ( 259   ~; 434   |;   0   &)
%                                         (  24 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   28 (  27 usr;  25 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1851,plain,
    $false,
    inference(avatar_sat_refutation,[],[f53,f66,f116,f187,f364,f422,f470,f583,f630,f677,f728,f839,f887,f952,f993,f1035,f1076,f1145,f1170,f1206,f1259,f1305,f1361,f1369,f1652,f1705,f1758,f1845]) ).

fof(f1845,plain,
    ~ spl0_27,
    inference(avatar_contradiction_clause,[],[f1844]) ).

fof(f1844,plain,
    ( $false
    | ~ spl0_27 ),
    inference(subsumption_resolution,[],[f1805,f21]) ).

fof(f21,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).

fof(f1805,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_27 ),
    inference(unit_resulting_resolution,[],[f12,f1157,f19]) ).

fof(f19,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X2,X1)
      | ~ product(X0,X3,X1)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).

fof(f1157,plain,
    ( product(e_2,e_3,e_2)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f1155,plain,
    ( spl0_27
  <=> product(e_2,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f12,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

fof(f1758,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_26
    | spl0_27
    | spl0_29 ),
    inference(avatar_contradiction_clause,[],[f1757]) ).

fof(f1757,plain,
    ( $false
    | spl0_24
    | spl0_25
    | ~ spl0_26
    | spl0_27
    | spl0_29 ),
    inference(subsumption_resolution,[],[f1740,f1164]) ).

fof(f1164,plain,
    ( ~ product(e_2,e_3,e_1)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f1163]) ).

fof(f1163,plain,
    ( spl0_29
  <=> product(e_2,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1740,plain,
    ( product(e_2,e_3,e_1)
    | spl0_24
    | spl0_25
    | ~ spl0_26
    | spl0_27 ),
    inference(unit_resulting_resolution,[],[f2,f3,f1148,f731,f1156,f1153,f25]) ).

fof(f25,plain,
    ! [X2,X3,X4] :
      ( ~ product(X2,X3,X4)
      | product(X3,X2,e_2)
      | ~ group_element(X2)
      | product(e_4,X4,X2)
      | ~ group_element(X3)
      | product(X3,X2,e_1)
      | product(X3,X2,e_3) ),
    inference(resolution,[],[f22,f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( product(X0,X1,e_4)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | product(X0,X1,e_2)
      | product(X0,X1,e_3)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).

fof(f22,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X1,X4)
      | ~ product(X1,X0,X5)
      | product(X4,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).

fof(f1153,plain,
    ( product(e_3,e_2,e_1)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f1151]) ).

fof(f1151,plain,
    ( spl0_26
  <=> product(e_3,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1156,plain,
    ( ~ product(e_2,e_3,e_2)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f731,plain,
    ( ~ product(e_4,e_1,e_3)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f730,plain,
    ( spl0_24
  <=> product(e_4,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1148,plain,
    ( ~ product(e_2,e_3,e_3)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f1147,plain,
    ( spl0_25
  <=> product(e_2,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).

fof(f2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).

fof(f1705,plain,
    ~ spl0_28,
    inference(avatar_contradiction_clause,[],[f1704]) ).

fof(f1704,plain,
    ( $false
    | ~ spl0_28 ),
    inference(subsumption_resolution,[],[f1671,f21]) ).

fof(f1671,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ spl0_28 ),
    inference(unit_resulting_resolution,[],[f12,f1161,f19]) ).

fof(f1161,plain,
    ( product(e_3,e_2,e_3)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1159,plain,
    ( spl0_28
  <=> product(e_3,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1652,plain,
    ( spl0_14
    | spl0_22
    | spl0_28
    | ~ spl0_29
    | spl0_30 ),
    inference(avatar_contradiction_clause,[],[f1651]) ).

fof(f1651,plain,
    ( $false
    | spl0_14
    | spl0_22
    | spl0_28
    | ~ spl0_29
    | spl0_30 ),
    inference(subsumption_resolution,[],[f1650,f1606]) ).

fof(f1606,plain,
    ( product(e_3,e_2,e_1)
    | spl0_22
    | spl0_28
    | ~ spl0_29
    | spl0_30 ),
    inference(subsumption_resolution,[],[f1605,f3]) ).

fof(f1605,plain,
    ( product(e_3,e_2,e_1)
    | ~ group_element(e_3)
    | spl0_22
    | spl0_28
    | ~ spl0_29
    | spl0_30 ),
    inference(subsumption_resolution,[],[f1604,f1160]) ).

fof(f1160,plain,
    ( ~ product(e_3,e_2,e_3)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f1159]) ).

fof(f1604,plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_3)
    | ~ group_element(e_3)
    | spl0_22
    | ~ spl0_29
    | spl0_30 ),
    inference(subsumption_resolution,[],[f1603,f2]) ).

fof(f1603,plain,
    ( product(e_3,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_3)
    | product(e_3,e_2,e_3)
    | spl0_22
    | ~ spl0_29
    | spl0_30 ),
    inference(subsumption_resolution,[],[f1602,f523]) ).

fof(f523,plain,
    ( ~ product(e_4,e_1,e_2)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl0_22
  <=> product(e_4,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f1602,plain,
    ( product(e_4,e_1,e_2)
    | ~ group_element(e_2)
    | product(e_3,e_2,e_1)
    | ~ group_element(e_3)
    | product(e_3,e_2,e_3)
    | ~ spl0_29
    | spl0_30 ),
    inference(subsumption_resolution,[],[f1597,f1168]) ).

fof(f1168,plain,
    ( ~ product(e_3,e_2,e_2)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1167,plain,
    ( spl0_30
  <=> product(e_3,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1597,plain,
    ( product(e_3,e_2,e_2)
    | ~ group_element(e_2)
    | product(e_3,e_2,e_3)
    | product(e_4,e_1,e_2)
    | ~ group_element(e_3)
    | product(e_3,e_2,e_1)
    | ~ spl0_29 ),
    inference(resolution,[],[f1165,f25]) ).

fof(f1165,plain,
    ( product(e_2,e_3,e_1)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f1163]) ).

fof(f1650,plain,
    ( ~ product(e_3,e_2,e_1)
    | spl0_14
    | ~ spl0_29 ),
    inference(unit_resulting_resolution,[],[f1165,f472,f22]) ).

fof(f472,plain,
    ( ~ product(e_1,e_1,e_3)
    | spl0_14 ),
    inference(unit_resulting_resolution,[],[f21,f295,f22]) ).

fof(f295,plain,
    ( ~ product(e_3,e_1,e_1)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl0_14
  <=> product(e_3,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1369,plain,
    ( ~ spl0_18
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1368]) ).

fof(f1368,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f1127,f312]) ).

fof(f312,plain,
    ( product(e_3,e_1,e_2)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f310,plain,
    ( spl0_18
  <=> product(e_3,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1127,plain,
    ( ~ product(e_3,e_1,e_2)
    | ~ spl0_22 ),
    inference(unit_resulting_resolution,[],[f16,f524,f20]) ).

fof(f20,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X2,X1,X0)
      | ~ product(X3,X1,X0)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).

fof(f524,plain,
    ( product(e_4,e_1,e_2)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f16,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).

fof(f1361,plain,
    ( spl0_14
    | ~ spl0_15
    | spl0_16
    | spl0_18
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1360]) ).

fof(f1360,plain,
    ( $false
    | spl0_14
    | ~ spl0_15
    | spl0_16
    | spl0_18
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f1331,f1040]) ).

fof(f1040,plain,
    ( product(e_4,e_2,e_1)
    | spl0_14
    | ~ spl0_15
    | spl0_16
    | spl0_18 ),
    inference(subsumption_resolution,[],[f1039,f1]) ).

fof(f1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).

fof(f1039,plain,
    ( product(e_4,e_2,e_1)
    | ~ group_element(e_1)
    | spl0_14
    | ~ spl0_15
    | spl0_16
    | spl0_18 ),
    inference(subsumption_resolution,[],[f1038,f303]) ).

fof(f303,plain,
    ( ~ product(e_3,e_1,e_3)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f302,plain,
    ( spl0_16
  <=> product(e_3,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1038,plain,
    ( product(e_3,e_1,e_3)
    | ~ group_element(e_1)
    | product(e_4,e_2,e_1)
    | spl0_14
    | ~ spl0_15
    | spl0_18 ),
    inference(subsumption_resolution,[],[f1037,f3]) ).

fof(f1037,plain,
    ( ~ group_element(e_3)
    | product(e_3,e_1,e_3)
    | ~ group_element(e_1)
    | product(e_4,e_2,e_1)
    | spl0_14
    | ~ spl0_15
    | spl0_18 ),
    inference(subsumption_resolution,[],[f1036,f311]) ).

fof(f311,plain,
    ( ~ product(e_3,e_1,e_2)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f1036,plain,
    ( product(e_3,e_1,e_2)
    | ~ group_element(e_1)
    | ~ group_element(e_3)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_1)
    | spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1027,f295]) ).

fof(f1027,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | product(e_3,e_1,e_2)
    | ~ spl0_15 ),
    inference(resolution,[],[f300,f25]) ).

fof(f300,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl0_15
  <=> product(e_1,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1331,plain,
    ( ~ product(e_4,e_2,e_1)
    | ~ spl0_26 ),
    inference(unit_resulting_resolution,[],[f13,f1153,f20]) ).

fof(f13,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).

fof(f1305,plain,
    ~ spl0_25,
    inference(avatar_contradiction_clause,[],[f1304]) ).

fof(f1304,plain,
    ( $false
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f1281,f9]) ).

fof(f9,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

fof(f1281,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_25 ),
    inference(unit_resulting_resolution,[],[f21,f1149,f20]) ).

fof(f1149,plain,
    ( product(e_2,e_3,e_3)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f1259,plain,
    ~ spl0_30,
    inference(avatar_contradiction_clause,[],[f1258]) ).

fof(f1258,plain,
    ( $false
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f1228,f21]) ).

fof(f1228,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_30 ),
    inference(unit_resulting_resolution,[],[f12,f1169,f20]) ).

fof(f1169,plain,
    ( product(e_3,e_2,e_2)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1206,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(avatar_contradiction_clause,[],[f1205]) ).

fof(f1205,plain,
    ( $false
    | spl0_6
    | spl0_7
    | spl0_8
    | ~ spl0_10
    | ~ spl0_29 ),
    inference(subsumption_resolution,[],[f1189,f1085]) ).

fof(f1085,plain,
    ( product(e_4,e_3,e_1)
    | spl0_6
    | spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1084,f131]) ).

fof(f131,plain,
    ( ~ product(e_2,e_1,e_2)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl0_8
  <=> product(e_2,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1084,plain,
    ( product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | spl0_6
    | spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1083,f127]) ).

fof(f127,plain,
    ( ~ product(e_2,e_1,e_1)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl0_7
  <=> product(e_2,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1083,plain,
    ( product(e_2,e_1,e_1)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1082,f2]) ).

fof(f1082,plain,
    ( ~ group_element(e_2)
    | product(e_2,e_1,e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_1)
    | spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1081,f1]) ).

fof(f1081,plain,
    ( ~ group_element(e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_2)
    | product(e_4,e_3,e_1)
    | spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1068,f123]) ).

fof(f123,plain,
    ( ~ product(e_2,e_1,e_3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl0_6
  <=> product(e_2,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1068,plain,
    ( product(e_2,e_1,e_3)
    | ~ group_element(e_2)
    | product(e_4,e_3,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ spl0_10 ),
    inference(resolution,[],[f140,f25]) ).

fof(f140,plain,
    ( product(e_1,e_2,e_3)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl0_10
  <=> product(e_1,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1189,plain,
    ( ~ product(e_4,e_3,e_1)
    | ~ spl0_29 ),
    inference(unit_resulting_resolution,[],[f10,f1165,f20]) ).

fof(f10,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).

fof(f1170,plain,
    ( spl0_25
    | spl0_26
    | spl0_27
    | spl0_28
    | spl0_29
    | spl0_30
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f191,f64,f1167,f1163,f1159,f1155,f1151,f1147]) ).

fof(f64,plain,
    ( spl0_4
  <=> ! [X1] :
        ( product(e_2,X1,e_3)
        | product(X1,e_2,e_2)
        | ~ group_element(X1)
        | product(e_2,X1,e_2)
        | product(X1,e_2,e_1)
        | product(X1,e_2,e_3)
        | product(e_2,X1,e_1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f191,plain,
    ( product(e_3,e_2,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_2)
    | product(e_3,e_2,e_1)
    | product(e_2,e_3,e_3)
    | ~ spl0_4 ),
    inference(resolution,[],[f65,f3]) ).

fof(f65,plain,
    ( ! [X1] :
        ( ~ group_element(X1)
        | product(X1,e_2,e_2)
        | product(e_2,X1,e_1)
        | product(X1,e_2,e_1)
        | product(e_2,X1,e_2)
        | product(e_2,X1,e_3)
        | product(X1,e_2,e_3) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f1145,plain,
    ( spl0_18
    | spl0_17
    | spl0_16
    | spl0_15
    | ~ spl0_2
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f787,f294,f290,f51,f298,f302,f306,f310]) ).

fof(f306,plain,
    ( spl0_17
  <=> product(e_1,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f51,plain,
    ( spl0_2
  <=> ! [X0] :
        ( product(X0,e_1,e_3)
        | product(e_1,X0,e_1)
        | product(X0,e_1,e_1)
        | product(X0,e_1,e_2)
        | product(e_1,X0,e_2)
        | ~ group_element(X0)
        | product(e_1,X0,e_3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f290,plain,
    ( spl0_13
  <=> product(e_1,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f787,plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | ~ spl0_2
    | spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f786,f291]) ).

fof(f291,plain,
    ( ~ product(e_1,e_3,e_3)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f786,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | ~ spl0_2
    | spl0_14 ),
    inference(subsumption_resolution,[],[f373,f295]) ).

fof(f373,plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_3)
    | product(e_3,e_1,e_2)
    | ~ spl0_2 ),
    inference(resolution,[],[f52,f3]) ).

fof(f52,plain,
    ( ! [X0] :
        ( ~ group_element(X0)
        | product(X0,e_1,e_3)
        | product(e_1,X0,e_2)
        | product(e_1,X0,e_3)
        | product(e_1,X0,e_1)
        | product(X0,e_1,e_2)
        | product(X0,e_1,e_1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f1076,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1075]) ).

fof(f1075,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1065,f1018]) ).

fof(f1018,plain,
    ( ~ product(e_3,e_3,e_2)
    | ~ spl0_15 ),
    inference(unit_resulting_resolution,[],[f6,f300,f20]) ).

fof(f6,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

fof(f1065,plain,
    ( product(e_3,e_3,e_2)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f124,f140,f22]) ).

fof(f124,plain,
    ( product(e_2,e_1,e_3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f1035,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_9
    | spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1034]) ).

fof(f1034,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_9
    | spl0_10
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1019,f991]) ).

fof(f991,plain,
    ( product(e_4,e_3,e_2)
    | spl0_5
    | ~ spl0_6
    | spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f990,f119]) ).

fof(f119,plain,
    ( ~ product(e_1,e_2,e_2)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl0_5
  <=> product(e_1,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f990,plain,
    ( product(e_4,e_3,e_2)
    | product(e_1,e_2,e_2)
    | ~ spl0_6
    | spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f989,f135]) ).

fof(f135,plain,
    ( ~ product(e_1,e_2,e_1)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl0_9
  <=> product(e_1,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f989,plain,
    ( product(e_4,e_3,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | ~ spl0_6
    | spl0_10 ),
    inference(subsumption_resolution,[],[f988,f2]) ).

fof(f988,plain,
    ( ~ group_element(e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_4,e_3,e_2)
    | ~ spl0_6
    | spl0_10 ),
    inference(subsumption_resolution,[],[f987,f1]) ).

fof(f987,plain,
    ( ~ group_element(e_1)
    | product(e_1,e_2,e_2)
    | ~ group_element(e_2)
    | product(e_4,e_3,e_2)
    | product(e_1,e_2,e_1)
    | ~ spl0_6
    | spl0_10 ),
    inference(subsumption_resolution,[],[f980,f139]) ).

fof(f139,plain,
    ( ~ product(e_1,e_2,e_3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f980,plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | ~ group_element(e_1)
    | product(e_1,e_2,e_3)
    | product(e_4,e_3,e_2)
    | ~ group_element(e_2)
    | ~ spl0_6 ),
    inference(resolution,[],[f124,f25]) ).

fof(f1019,plain,
    ( ~ product(e_4,e_3,e_2)
    | ~ spl0_15 ),
    inference(unit_resulting_resolution,[],[f7,f300,f20]) ).

fof(f7,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).

fof(f993,plain,
    ( ~ spl0_6
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f992]) ).

fof(f992,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f973,f732]) ).

fof(f732,plain,
    ( product(e_4,e_1,e_3)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f730]) ).

fof(f973,plain,
    ( ~ product(e_4,e_1,e_3)
    | ~ spl0_6 ),
    inference(unit_resulting_resolution,[],[f10,f124,f20]) ).

fof(f952,plain,
    ( spl0_5
    | ~ spl0_10
    | spl0_13
    | spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f951]) ).

fof(f951,plain,
    ( $false
    | spl0_5
    | ~ spl0_10
    | spl0_13
    | spl0_17
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f932,f950]) ).

fof(f950,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_10
    | spl0_13
    | spl0_17
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f949,f307]) ).

fof(f307,plain,
    ( ~ product(e_1,e_3,e_1)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f949,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | ~ spl0_10
    | spl0_13
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f944,f715]) ).

fof(f715,plain,
    ( ~ product(e_4,e_2,e_3)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f14,f140,f20]) ).

fof(f14,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).

fof(f944,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_2,e_3)
    | spl0_13
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f943,f291]) ).

fof(f943,plain,
    ( product(e_1,e_3,e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_2,e_3)
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f942,f1]) ).

fof(f942,plain,
    ( ~ group_element(e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_2,e_3)
    | product(e_1,e_3,e_3)
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f935,f3]) ).

fof(f935,plain,
    ( ~ group_element(e_3)
    | product(e_4,e_2,e_3)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | ~ spl0_18 ),
    inference(resolution,[],[f312,f25]) ).

fof(f932,plain,
    ( ~ product(e_1,e_3,e_2)
    | spl0_5
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f188,f312,f22]) ).

fof(f188,plain,
    ( ~ product(e_2,e_2,e_1)
    | spl0_5 ),
    inference(unit_resulting_resolution,[],[f21,f119,f22]) ).

fof(f887,plain,
    ~ spl0_17,
    inference(avatar_contradiction_clause,[],[f886]) ).

fof(f886,plain,
    ( $false
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f854,f11]) ).

fof(f11,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

fof(f854,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_17 ),
    inference(unit_resulting_resolution,[],[f21,f308,f19]) ).

fof(f308,plain,
    ( product(e_1,e_3,e_1)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f839,plain,
    ~ spl0_16,
    inference(avatar_contradiction_clause,[],[f838]) ).

fof(f838,plain,
    ( $false
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f799,f21]) ).

fof(f799,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ spl0_16 ),
    inference(unit_resulting_resolution,[],[f6,f304,f19]) ).

fof(f304,plain,
    ( product(e_3,e_1,e_3)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f728,plain,
    ( spl0_8
    | spl0_9
    | spl0_10
    | spl0_7
    | spl0_6
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f530,f118,f64,f122,f126,f138,f134,f130]) ).

fof(f530,plain,
    ( product(e_2,e_1,e_3)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | ~ spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f189,f119]) ).

fof(f189,plain,
    ( product(e_1,e_2,e_3)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_1,e_3)
    | ~ spl0_4 ),
    inference(resolution,[],[f65,f1]) ).

fof(f677,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f676]) ).

fof(f676,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f640,f21]) ).

fof(f640,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f5,f132,f19]) ).

fof(f132,plain,
    ( product(e_2,e_1,e_2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f5,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

fof(f630,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f629]) ).

fof(f629,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f601,f21]) ).

fof(f601,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_7 ),
    inference(unit_resulting_resolution,[],[f8,f128,f20]) ).

fof(f128,plain,
    ( product(e_2,e_1,e_1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f8,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f583,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f582]) ).

fof(f582,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f544,f21]) ).

fof(f544,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f8,f136,f19]) ).

fof(f136,plain,
    ( product(e_1,e_2,e_1)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f470,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f446,f21]) ).

fof(f446,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_14 ),
    inference(unit_resulting_resolution,[],[f6,f296,f20]) ).

fof(f296,plain,
    ( product(e_3,e_1,e_1)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f422,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f421,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f394,f21]) ).

fof(f394,plain,
    ( ~ product(e_3,e_3,e_3)
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f6,f292,f20]) ).

fof(f292,plain,
    ( product(e_1,e_3,e_3)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f364,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f363]) ).

fof(f363,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f317,f21]) ).

fof(f317,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f7,f49,f18]) ).

fof(f18,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X1,X3)
      | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).

fof(f49,plain,
    ( product(e_4,e_4,e_1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_1
  <=> product(e_4,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f187,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f186]) ).

fof(f186,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f158,f21]) ).

fof(f158,plain,
    ( ~ product(e_2,e_2,e_2)
    | ~ spl0_5 ),
    inference(unit_resulting_resolution,[],[f5,f120,f20]) ).

fof(f120,plain,
    ( product(e_1,e_2,e_2)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f116,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f115,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f77,f15]) ).

fof(f15,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).

fof(f77,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f21,f62,f18]) ).

fof(f62,plain,
    ( product(e_4,e_4,e_2)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl0_3
  <=> product(e_4,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f66,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f43,f64,f60]) ).

fof(f43,plain,
    ! [X1] :
      ( product(e_2,X1,e_3)
      | product(e_2,X1,e_1)
      | product(e_4,e_4,e_2)
      | product(X1,e_2,e_3)
      | product(X1,e_2,e_1)
      | product(e_2,X1,e_2)
      | ~ group_element(X1)
      | product(X1,e_2,e_2) ),
    inference(resolution,[],[f36,f2]) ).

fof(f36,plain,
    ! [X2,X1] :
      ( ~ group_element(X2)
      | product(X1,X2,e_3)
      | product(e_4,e_4,X2)
      | product(X2,X1,e_2)
      | product(X2,X1,e_3)
      | ~ group_element(X1)
      | product(X2,X1,e_1)
      | product(X1,X2,e_1)
      | product(X1,X2,e_2) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f35,plain,
    ! [X2,X1] :
      ( product(X1,X2,e_3)
      | ~ group_element(X1)
      | product(e_4,e_4,X2)
      | ~ group_element(X2)
      | product(X2,X1,e_3)
      | product(X2,X1,e_1)
      | product(X1,X2,e_1)
      | product(X2,X1,e_2)
      | ~ group_element(X1)
      | product(X1,X2,e_2)
      | ~ group_element(X2) ),
    inference(resolution,[],[f25,f17]) ).

fof(f53,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f42,f51,f47]) ).

fof(f42,plain,
    ! [X0] :
      ( product(X0,e_1,e_3)
      | product(e_1,X0,e_3)
      | ~ group_element(X0)
      | product(e_1,X0,e_2)
      | product(X0,e_1,e_2)
      | product(e_4,e_4,e_1)
      | product(X0,e_1,e_1)
      | product(e_1,X0,e_1) ),
    inference(resolution,[],[f36,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : GRP126-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.09/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:14:52 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (6754)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)
% 0.19/0.48  % (6753)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)
% 0.19/0.48  % (6753)Refutation not found, incomplete strategy% (6753)------------------------------
% 0.19/0.48  % (6753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (6753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (6753)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48  
% 0.19/0.48  % (6753)Memory used [KB]: 5884
% 0.19/0.48  % (6753)Time elapsed: 0.090 s
% 0.19/0.48  % (6753)Instructions burned: 1 (million)
% 0.19/0.48  % (6753)------------------------------
% 0.19/0.48  % (6753)------------------------------
% 0.19/0.48  % (6766)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)
% 0.19/0.49  % (6772)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)
% 0.19/0.49  % (6758)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)
% 0.19/0.49  % (6772)Refutation not found, incomplete strategy% (6772)------------------------------
% 0.19/0.49  % (6772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (6774)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)
% 0.19/0.49  % (6765)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)
% 0.19/0.49  % (6764)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)
% 0.19/0.49  % (6772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (6772)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49  
% 0.19/0.49  % (6772)Memory used [KB]: 5756
% 0.19/0.49  % (6772)Time elapsed: 0.103 s
% 0.19/0.49  % (6772)Instructions burned: 1 (million)
% 0.19/0.49  % (6772)------------------------------
% 0.19/0.49  % (6772)------------------------------
% 0.19/0.49  % (6764)Instruction limit reached!
% 0.19/0.49  % (6764)------------------------------
% 0.19/0.49  % (6764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (6754)Refutation not found, incomplete strategy% (6754)------------------------------
% 0.19/0.50  % (6754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (6754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (6754)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (6754)Memory used [KB]: 5756
% 0.19/0.50  % (6754)Time elapsed: 0.111 s
% 0.19/0.50  % (6764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (6764)Termination reason: Unknown
% 0.19/0.50  % (6764)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (6764)Memory used [KB]: 5884
% 0.19/0.50  % (6764)Time elapsed: 0.102 s
% 0.19/0.50  % (6764)Instructions burned: 3 (million)
% 0.19/0.50  % (6764)------------------------------
% 0.19/0.50  % (6764)------------------------------
% 0.19/0.50  % (6754)Instructions burned: 1 (million)
% 0.19/0.50  % (6754)------------------------------
% 0.19/0.50  % (6754)------------------------------
% 0.19/0.50  % (6773)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)
% 0.19/0.50  Detected maximum model sizes of [4]
% 0.19/0.50  TRYING [1]
% 0.19/0.50  TRYING [2]
% 0.19/0.50  TRYING [3]
% 0.19/0.50  TRYING [4]
% 0.19/0.50  % (6766)Instruction limit reached!
% 0.19/0.50  % (6766)------------------------------
% 0.19/0.50  % (6766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (6766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (6766)Termination reason: Unknown
% 0.19/0.50  % (6766)Termination phase: Finite model building constraint generation
% 0.19/0.50  
% 0.19/0.50  % (6766)Memory used [KB]: 5884
% 0.19/0.50  % (6766)Time elapsed: 0.071 s
% 0.19/0.50  % (6766)Instructions burned: 6 (million)
% 0.19/0.50  % (6766)------------------------------
% 0.19/0.50  % (6766)------------------------------
% 0.19/0.51  % (6756)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (6751)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.53  % (6757)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)
% 0.19/0.53  % (6768)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53  % (6752)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)
% 0.19/0.53  % (6778)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)
% 0.19/0.53  % (6767)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)
% 0.19/0.53  % (6778)Refutation not found, incomplete strategy% (6778)------------------------------
% 0.19/0.53  % (6778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (6778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (6778)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (6778)Memory used [KB]: 1279
% 0.19/0.53  % (6778)Time elapsed: 0.144 s
% 0.19/0.53  % (6778)Instructions burned: 1 (million)
% 0.19/0.53  % (6778)------------------------------
% 0.19/0.53  % (6778)------------------------------
% 0.19/0.54  % (6780)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)
% 0.19/0.54  % (6765)Instruction limit reached!
% 0.19/0.54  % (6765)------------------------------
% 0.19/0.54  % (6765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (6770)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)
% 0.19/0.54  % (6765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (6765)Termination reason: Unknown
% 0.19/0.54  % (6765)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (6765)Memory used [KB]: 1407
% 0.19/0.54  % (6765)Time elapsed: 0.156 s
% 0.19/0.54  % (6765)Instructions burned: 29 (million)
% 0.19/0.54  % (6765)------------------------------
% 0.19/0.54  % (6765)------------------------------
% 0.19/0.54  % (6771)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)
% 0.19/0.54  % (6760)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)
% 0.19/0.54  % (6770)Refutation not found, incomplete strategy% (6770)------------------------------
% 0.19/0.54  % (6770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (6770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (6770)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (6770)Memory used [KB]: 5884
% 0.19/0.54  % (6770)Time elapsed: 0.155 s
% 0.19/0.54  % (6770)Instructions burned: 2 (million)
% 0.19/0.54  % (6770)------------------------------
% 0.19/0.54  % (6770)------------------------------
% 0.19/0.54  % (6759)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)
% 0.19/0.55  % (6759)Instruction limit reached!
% 0.19/0.55  % (6759)------------------------------
% 0.19/0.55  % (6759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (6759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (6759)Termination reason: Unknown
% 0.19/0.55  % (6759)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (6759)Memory used [KB]: 5884
% 0.19/0.55  % (6759)Time elapsed: 0.163 s
% 0.19/0.55  % (6759)Instructions burned: 3 (million)
% 0.19/0.55  % (6759)------------------------------
% 0.19/0.55  % (6759)------------------------------
% 0.19/0.55  % (6762)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)
% 0.19/0.55  % (6768)Instruction limit reached!
% 0.19/0.55  % (6768)------------------------------
% 0.19/0.55  % (6768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (6768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (6768)Termination reason: Unknown
% 0.19/0.55  % (6768)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (6768)Memory used [KB]: 5884
% 0.19/0.55  % (6768)Time elapsed: 0.166 s
% 0.19/0.55  % (6768)Instructions burned: 8 (million)
% 0.19/0.55  % (6768)------------------------------
% 0.19/0.55  % (6768)------------------------------
% 0.19/0.55  % (6767)Instruction limit reached!
% 0.19/0.55  % (6767)------------------------------
% 0.19/0.55  % (6767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (6767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (6767)Termination reason: Unknown
% 0.19/0.55  % (6767)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (6767)Memory used [KB]: 5756
% 0.19/0.55  % (6767)Time elapsed: 0.003 s
% 0.19/0.55  % (6767)Instructions burned: 2 (million)
% 0.19/0.55  % (6767)------------------------------
% 0.19/0.55  % (6767)------------------------------
% 0.19/0.56  % (6775)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)
% 0.19/0.56  % (6774)Instruction limit reached!
% 0.19/0.56  % (6774)------------------------------
% 0.19/0.56  % (6774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (6774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (6774)Termination reason: Unknown
% 0.19/0.56  % (6774)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (6774)Memory used [KB]: 6268
% 0.19/0.56  % (6774)Time elapsed: 0.117 s
% 0.19/0.56  % (6774)Instructions burned: 37 (million)
% 0.19/0.56  % (6774)------------------------------
% 0.19/0.56  % (6774)------------------------------
% 0.19/0.56  % (6756)Instruction limit reached!
% 0.19/0.56  % (6756)------------------------------
% 0.19/0.56  % (6756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (6756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (6756)Termination reason: Unknown
% 0.19/0.56  % (6756)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (6756)Memory used [KB]: 6012
% 0.19/0.56  % (6755)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)
% 0.19/0.56  % (6756)Time elapsed: 0.166 s
% 0.19/0.56  % (6756)Instructions burned: 26 (million)
% 0.19/0.56  % (6756)------------------------------
% 0.19/0.56  % (6756)------------------------------
% 0.19/0.56  % (6755)Refutation not found, incomplete strategy% (6755)------------------------------
% 0.19/0.56  % (6755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (6755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (6755)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (6755)Memory used [KB]: 5756
% 0.19/0.56  % (6755)Time elapsed: 0.171 s
% 0.19/0.56  % (6755)Instructions burned: 1 (million)
% 0.19/0.56  % (6755)------------------------------
% 0.19/0.56  % (6755)------------------------------
% 0.19/0.56  % (6776)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)
% 0.19/0.56  % (6776)Refutation not found, incomplete strategy% (6776)------------------------------
% 0.19/0.56  % (6776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (6776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (6776)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (6776)Memory used [KB]: 5884
% 0.19/0.56  % (6776)Time elapsed: 0.172 s
% 0.19/0.56  % (6776)Instructions burned: 1 (million)
% 0.19/0.56  % (6776)------------------------------
% 0.19/0.56  % (6776)------------------------------
% 0.19/0.57  % (6771)Instruction limit reached!
% 0.19/0.57  % (6771)------------------------------
% 0.19/0.57  % (6771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (6771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (6771)Termination reason: Unknown
% 0.19/0.57  % (6771)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (6771)Memory used [KB]: 1407
% 0.19/0.57  % (6771)Time elapsed: 0.183 s
% 0.19/0.57  % (6771)Instructions burned: 6 (million)
% 0.19/0.57  % (6771)------------------------------
% 0.19/0.57  % (6771)------------------------------
% 0.19/0.57  % (6763)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)
% 0.19/0.57  % (6763)Instruction limit reached!
% 0.19/0.57  % (6763)------------------------------
% 0.19/0.57  % (6763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (6763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (6763)Termination reason: Unknown
% 0.19/0.57  % (6763)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (6763)Memory used [KB]: 5884
% 0.19/0.57  % (6763)Time elapsed: 0.181 s
% 0.19/0.57  % (6763)Instructions burned: 5 (million)
% 0.19/0.57  % (6763)------------------------------
% 0.19/0.57  % (6763)------------------------------
% 0.19/0.58  % (6752)Instruction limit reached!
% 0.19/0.58  % (6752)------------------------------
% 0.19/0.58  % (6752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (6758)Instruction limit reached!
% 0.19/0.58  % (6758)------------------------------
% 0.19/0.58  % (6758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (6758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (6758)Termination reason: Unknown
% 0.19/0.58  % (6758)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (6758)Memory used [KB]: 6140
% 0.19/0.58  % (6758)Time elapsed: 0.147 s
% 0.19/0.58  % (6758)Instructions burned: 51 (million)
% 0.19/0.58  % (6758)------------------------------
% 0.19/0.58  % (6758)------------------------------
% 0.19/0.58  % (6752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (6752)Termination reason: Unknown
% 0.19/0.58  % (6752)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (6752)Memory used [KB]: 1535
% 0.19/0.58  % (6752)Time elapsed: 0.187 s
% 0.19/0.58  % (6752)Instructions burned: 43 (million)
% 0.19/0.58  % (6752)------------------------------
% 0.19/0.58  % (6752)------------------------------
% 0.19/0.59  % (6769)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)
% 0.19/0.59  % (6769)Refutation not found, incomplete strategy% (6769)------------------------------
% 0.19/0.59  % (6769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (6769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (6769)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.59  
% 0.19/0.59  % (6769)Memory used [KB]: 10234
% 0.19/0.59  % (6769)Time elapsed: 0.200 s
% 0.19/0.59  % (6769)Instructions burned: 2 (million)
% 0.19/0.59  % (6769)------------------------------
% 0.19/0.59  % (6769)------------------------------
% 0.19/0.59  % (6773)First to succeed.
% 0.19/0.59  % (6779)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)
% 2.09/0.60  % (6777)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)
% 2.09/0.60  % (6762)Instruction limit reached!
% 2.09/0.60  % (6762)------------------------------
% 2.09/0.60  % (6762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.60  % (6762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.60  % (6762)Termination reason: Unknown
% 2.09/0.60  % (6762)Termination phase: Saturation
% 2.09/0.60  
% 2.09/0.60  % (6762)Memory used [KB]: 5884
% 2.09/0.60  % (6762)Time elapsed: 0.176 s
% 2.09/0.60  % (6762)Instructions burned: 24 (million)
% 2.09/0.60  % (6762)------------------------------
% 2.09/0.60  % (6762)------------------------------
% 2.09/0.60  % (6777)Refutation not found, incomplete strategy% (6777)------------------------------
% 2.09/0.60  % (6777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.60  % (6777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.60  % (6777)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.60  
% 2.09/0.60  % (6777)Memory used [KB]: 5884
% 2.09/0.60  % (6777)Time elapsed: 0.208 s
% 2.09/0.60  % (6777)Instructions burned: 2 (million)
% 2.09/0.60  % (6777)------------------------------
% 2.09/0.60  % (6777)------------------------------
% 2.09/0.60  % (6773)Refutation found. Thanks to Tanya!
% 2.09/0.60  % SZS status Unsatisfiable for theBenchmark
% 2.09/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.60  % (6773)------------------------------
% 2.09/0.60  % (6773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.60  % (6773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.60  % (6773)Termination reason: Refutation
% 2.09/0.60  
% 2.09/0.60  % (6773)Memory used [KB]: 6396
% 2.09/0.60  % (6773)Time elapsed: 0.202 s
% 2.09/0.60  % (6773)Instructions burned: 48 (million)
% 2.09/0.60  % (6773)------------------------------
% 2.09/0.60  % (6773)------------------------------
% 2.09/0.60  % (6750)Success in time 0.255 s
%------------------------------------------------------------------------------