TSTP Solution File: GRP127-4.004 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n021.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 16:14:25 EDT 2022

% Result   : Unsatisfiable 2.14s 0.70s
% Output   : Refutation 2.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  141 (  21 unt;   0 def)
%            Number of atoms       :  355 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  368 ( 154   ~; 195   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   23 (  22 usr;  20 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1660,plain,
    $false,
    inference(avatar_sat_refutation,[],[f86,f139,f395,f463,f533,f642,f644,f659,f779,f856,f1013,f1054,f1063,f1123,f1256,f1324,f1386,f1479,f1608,f1610,f1652,f1659]) ).

fof(f1659,plain,
    ( spl0_10
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1658]) ).

fof(f1658,plain,
    ( $false
    | spl0_10
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f1607,f1415]) ).

fof(f1415,plain,
    ( ~ product(e_3,e_3,e_4)
    | spl0_10 ),
    inference(unit_resulting_resolution,[],[f25,f531,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X1,X0)
      | ~ product(X2,X1,X3)
      | product(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3_1) ).

fof(f531,plain,
    ( ~ product(e_3,e_4,e_3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f530,plain,
    ( spl0_10
  <=> product(e_3,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f25,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).

fof(f1607,plain,
    ( product(e_3,e_3,e_4)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f1605]) ).

fof(f1605,plain,
    ( spl0_23
  <=> product(e_3,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1652,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(avatar_contradiction_clause,[],[f1651]) ).

fof(f1651,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_22 ),
    inference(subsumption_resolution,[],[f1615,f1346]) ).

fof(f1346,plain,
    ( ~ product(e_2,e_1,e_3)
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f11,f524,f23]) ).

fof(f23,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X4,X1)
      | equalish(X4,X5)
      | ~ product(X0,X5,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).

fof(f524,plain,
    ( product(e_2,e_4,e_3)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f522,plain,
    ( spl0_8
  <=> product(e_2,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f11,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).

fof(f1615,plain,
    ( product(e_2,e_1,e_3)
    | ~ spl0_4
    | ~ spl0_22 ),
    inference(unit_resulting_resolution,[],[f85,f1603,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X1,X0)
      | ~ product(X1,X0,X2)
      | product(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3_2) ).

fof(f1603,plain,
    ( product(e_3,e_1,e_4)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f1601]) ).

fof(f1601,plain,
    ( spl0_22
  <=> product(e_3,e_1,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f85,plain,
    ( product(e_1,e_4,e_2)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f83,plain,
    ( spl0_4
  <=> product(e_1,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1610,plain,
    ( ~ spl0_17
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1609]) ).

fof(f1609,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(subsumption_resolution,[],[f1599,f1513]) ).

fof(f1513,plain,
    ( ~ product(e_3,e_2,e_4)
    | ~ spl0_17 ),
    inference(unit_resulting_resolution,[],[f10,f1012,f24]) ).

fof(f24,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X4,X1,X0)
      | ~ product(X5,X1,X0)
      | equalish(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).

fof(f1012,plain,
    ( product(e_1,e_2,e_4)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1010,plain,
    ( spl0_17
  <=> product(e_1,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f10,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

fof(f1599,plain,
    ( product(e_3,e_2,e_4)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f1597,plain,
    ( spl0_21
  <=> product(e_3,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1608,plain,
    ( spl0_21
    | spl0_13
    | spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f68,f1605,f1601,f993,f1597]) ).

fof(f993,plain,
    ( spl0_13
  <=> product(e_4,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f68,plain,
    ( product(e_3,e_3,e_4)
    | product(e_3,e_1,e_4)
    | product(e_4,e_4,e_3)
    | product(e_3,e_2,e_4) ),
    inference(resolution,[],[f44,f7]) ).

fof(f7,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).

fof(f44,plain,
    ! [X2] :
      ( ~ group_element(X2)
      | product(X2,e_3,e_4)
      | product(e_4,e_4,X2)
      | product(X2,e_2,e_4)
      | product(X2,e_1,e_4) ),
    inference(subsumption_resolution,[],[f40,f8]) ).

fof(f8,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).

fof(f40,plain,
    ! [X2] :
      ( product(X2,e_1,e_4)
      | ~ group_element(e_4)
      | product(X2,e_3,e_4)
      | product(X2,e_2,e_4)
      | ~ group_element(X2)
      | product(e_4,e_4,X2) ),
    inference(resolution,[],[f28,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( product(X0,e_4,X1)
      | product(X0,e_3,X1)
      | product(X0,e_1,X1)
      | product(X0,e_2,X1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',column_surjectivity) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,X1)
      | product(X1,X1,X0) ),
    inference(resolution,[],[f3,f25]) ).

fof(f1479,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1478]) ).

fof(f1478,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | spl0_9
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1432,f1329]) ).

fof(f1329,plain,
    ( product(e_4,e_3,e_1)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f85,f524,f3]) ).

fof(f1432,plain,
    ( ~ product(e_4,e_3,e_1)
    | spl0_9
    | ~ spl0_15 ),
    inference(unit_resulting_resolution,[],[f527,f1004,f3]) ).

fof(f1004,plain,
    ( product(e_1,e_3,e_4)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1002,plain,
    ( spl0_15
  <=> product(e_1,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f527,plain,
    ( ~ product(e_3,e_4,e_4)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f526,plain,
    ( spl0_9
  <=> product(e_3,e_4,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1386,plain,
    ( ~ spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1385]) ).

fof(f1385,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1351,f995]) ).

fof(f995,plain,
    ( product(e_4,e_4,e_3)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f1351,plain,
    ( ~ product(e_4,e_4,e_3)
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f14,f524,f24]) ).

fof(f14,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).

fof(f1324,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f1323]) ).

fof(f1323,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1290,f20]) ).

fof(f20,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).

fof(f1290,plain,
    ( equalish(e_4,e_3)
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f25,f528,f24]) ).

fof(f528,plain,
    ( product(e_3,e_4,e_4)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f1256,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f1255]) ).

fof(f1255,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1218,f17]) ).

fof(f17,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).

fof(f1218,plain,
    ( equalish(e_3,e_4)
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f25,f532,f23]) ).

fof(f532,plain,
    ( product(e_3,e_4,e_3)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f1123,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1122]) ).

fof(f1122,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1070,f861]) ).

fof(f861,plain,
    ( product(e_4,e_2,e_1)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(unit_resulting_resolution,[],[f81,f390,f3]) ).

fof(f390,plain,
    ( product(e_3,e_4,e_2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f388,plain,
    ( spl0_6
  <=> product(e_3,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f81,plain,
    ( product(e_1,e_4,e_3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl0_3
  <=> product(e_1,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1070,plain,
    ( ~ product(e_4,e_2,e_1)
    | spl0_7
    | ~ spl0_17 ),
    inference(unit_resulting_resolution,[],[f393,f1012,f3]) ).

fof(f393,plain,
    ( ~ product(e_2,e_4,e_4)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f392,plain,
    ( spl0_7
  <=> product(e_2,e_4,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1063,plain,
    ( spl0_1
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1062]) ).

fof(f1062,plain,
    ( $false
    | spl0_1
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1008,f464]) ).

fof(f464,plain,
    ( ~ product(e_1,e_1,e_4)
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f25,f72,f3]) ).

fof(f72,plain,
    ( ~ product(e_1,e_4,e_1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_1
  <=> product(e_1,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1008,plain,
    ( product(e_1,e_1,e_4)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1006,plain,
    ( spl0_16
  <=> product(e_1,e_1,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1054,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f1053]) ).

fof(f1053,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f1014,f953]) ).

fof(f953,plain,
    ( ~ product(e_2,e_3,e_1)
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f20,f641,f23]) ).

fof(f641,plain,
    ( product(e_2,e_4,e_1)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f639,plain,
    ( spl0_12
  <=> product(e_2,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1014,plain,
    ( product(e_2,e_3,e_1)
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(unit_resulting_resolution,[],[f390,f1004,f4]) ).

fof(f1013,plain,
    ( spl0_15
    | spl0_16
    | spl0_17
    | spl0_2 ),
    inference(avatar_split_clause,[],[f66,f75,f1010,f1006,f1002]) ).

fof(f75,plain,
    ( spl0_2
  <=> product(e_4,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f66,plain,
    ( product(e_4,e_4,e_1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_1,e_4)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[],[f44,f5]) ).

fof(f5,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).

fof(f856,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f855]) ).

fof(f855,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f825,f19]) ).

fof(f19,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).

fof(f825,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_7 ),
    inference(unit_resulting_resolution,[],[f25,f394,f24]) ).

fof(f394,plain,
    ( product(e_2,e_4,e_4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f779,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f778]) ).

fof(f778,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f736,f14]) ).

fof(f736,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_5 ),
    inference(unit_resulting_resolution,[],[f25,f386,f23]) ).

fof(f386,plain,
    ( product(e_2,e_4,e_2)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl0_5
  <=> product(e_2,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f659,plain,
    ( ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f658]) ).

fof(f658,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f637,f607]) ).

fof(f607,plain,
    ( ~ product(e_4,e_4,e_2)
    | ~ spl0_6 ),
    inference(unit_resulting_resolution,[],[f20,f390,f24]) ).

fof(f637,plain,
    ( product(e_4,e_4,e_2)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl0_11
  <=> product(e_4,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f644,plain,
    ( ~ spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f643]) ).

fof(f643,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f524,f557]) ).

fof(f557,plain,
    ( ~ product(e_2,e_4,e_3)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f12,f81,f24]) ).

fof(f12,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f642,plain,
    ( spl0_11
    | spl0_5
    | spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f63,f522,f639,f384,f635]) ).

fof(f63,plain,
    ( product(e_2,e_4,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_2) ),
    inference(resolution,[],[f43,f6]) ).

fof(f6,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).

fof(f43,plain,
    ! [X1] :
      ( ~ group_element(X1)
      | product(X1,e_4,e_1)
      | product(e_4,e_4,X1)
      | product(X1,e_4,e_3)
      | product(X1,e_4,e_2) ),
    inference(subsumption_resolution,[],[f39,f8]) ).

fof(f39,plain,
    ! [X1] :
      ( ~ group_element(X1)
      | product(X1,e_4,e_1)
      | product(X1,e_4,e_2)
      | product(X1,e_4,e_3)
      | ~ group_element(e_4)
      | product(e_4,e_4,X1) ),
    inference(resolution,[],[f28,f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( product(X0,X1,e_4)
      | ~ group_element(X1)
      | product(X0,X1,e_1)
      | product(X0,X1,e_3)
      | product(X0,X1,e_2)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).

fof(f533,plain,
    ( spl0_8
    | spl0_9
    | spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f397,f79,f530,f526,f522]) ).

fof(f397,plain,
    ( product(e_3,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_2,e_4,e_3)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f188,f80]) ).

fof(f80,plain,
    ( ~ product(e_1,e_4,e_3)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f188,plain,
    ( product(e_1,e_4,e_3)
    | product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[],[f52,f7]) ).

fof(f52,plain,
    ! [X3] :
      ( ~ group_element(X3)
      | product(X3,e_4,e_4)
      | product(e_2,e_4,X3)
      | product(e_3,e_4,X3)
      | product(e_1,e_4,X3) ),
    inference(subsumption_resolution,[],[f49,f8]) ).

fof(f49,plain,
    ! [X3] :
      ( product(e_2,e_4,X3)
      | product(X3,e_4,e_4)
      | product(e_3,e_4,X3)
      | product(e_1,e_4,X3)
      | ~ group_element(X3)
      | ~ group_element(e_4) ),
    inference(resolution,[],[f33,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( product(e_4,X0,X1)
      | product(e_2,X0,X1)
      | ~ group_element(X0)
      | product(e_1,X0,X1)
      | product(e_3,X0,X1)
      | ~ group_element(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',row_surjectivity) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ product(X0,X0,X1)
      | product(X1,X0,X0) ),
    inference(resolution,[],[f4,f25]) ).

fof(f463,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f462]) ).

fof(f462,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f412,f25]) ).

fof(f412,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f18,f73,f23]) ).

fof(f73,plain,
    ( product(e_1,e_4,e_1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f18,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).

fof(f395,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f190,f79,f392,f388,f384]) ).

fof(f190,plain,
    ( product(e_2,e_4,e_4)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_2)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f187,f156]) ).

fof(f156,plain,
    ( ~ product(e_1,e_4,e_2)
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f16,f81,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X1,X5)
      | ~ product(X0,X1,X4)
      | equalish(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).

fof(f16,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

fof(f187,plain,
    ( product(e_2,e_4,e_4)
    | product(e_3,e_4,e_2)
    | product(e_1,e_4,e_2)
    | product(e_2,e_4,e_2) ),
    inference(resolution,[],[f52,f6]) ).

fof(f139,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f138]) ).

fof(f138,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f101,f25]) ).

fof(f101,plain,
    ( ~ product(e_4,e_4,e_4)
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f18,f77,f22]) ).

fof(f77,plain,
    ( product(e_4,e_4,e_1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f86,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f62,f83,f79,f75,f71]) ).

fof(f62,plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_1)
    | product(e_1,e_4,e_1) ),
    inference(resolution,[],[f43,f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12  % 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 : n021.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 22:12:10 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 1.31/0.51  % (32334)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.52  % (32323)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.31/0.52  % (32345)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.31/0.52  % (32323)Refutation not found, incomplete strategy% (32323)------------------------------
% 1.31/0.52  % (32323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (32323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (32323)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.52  
% 1.31/0.52  % (32323)Memory used [KB]: 5884
% 1.31/0.52  % (32323)Time elapsed: 0.124 s
% 1.31/0.52  % (32323)------------------------------
% 1.31/0.52  % (32323)------------------------------
% 1.31/0.52  % (32329)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.52  % (32337)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/0.52  % (32322)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.31/0.52  % (32326)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.31/0.52  % (32324)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.31/0.52  % (32325)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.31/0.52  % (32324)Refutation not found, incomplete strategy% (32324)------------------------------
% 1.31/0.52  % (32324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (32324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (32324)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.52  
% 1.31/0.52  % (32324)Memory used [KB]: 5884
% 1.31/0.52  % (32324)Time elapsed: 0.134 s
% 1.31/0.52  % (32324)Instructions burned: 1 (million)
% 1.31/0.52  % (32324)------------------------------
% 1.31/0.52  % (32324)------------------------------
% 1.31/0.52  % (32337)Instruction limit reached!
% 1.31/0.52  % (32337)------------------------------
% 1.31/0.52  % (32337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (32325)Refutation not found, incomplete strategy% (32325)------------------------------
% 1.31/0.52  % (32325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (32325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (32325)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.52  
% 1.31/0.52  % (32325)Memory used [KB]: 5884
% 1.31/0.52  % (32325)Time elapsed: 0.134 s
% 1.31/0.52  % (32325)Instructions burned: 1 (million)
% 1.31/0.52  % (32325)------------------------------
% 1.31/0.52  % (32325)------------------------------
% 1.31/0.52  % (32337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (32337)Termination reason: Unknown
% 1.31/0.52  % (32337)Termination phase: Saturation
% 1.31/0.52  
% 1.31/0.52  % (32337)Memory used [KB]: 5884
% 1.31/0.52  % (32337)Time elapsed: 0.133 s
% 1.31/0.52  % (32337)Instructions burned: 2 (million)
% 1.31/0.52  % (32337)------------------------------
% 1.31/0.52  % (32337)------------------------------
% 1.31/0.52  % (32321)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.31/0.52  % (32342)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.31/0.52  % (32329)Instruction limit reached!
% 1.31/0.52  % (32329)------------------------------
% 1.31/0.52  % (32329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (32329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (32329)Termination reason: Unknown
% 1.31/0.52  % (32329)Termination phase: Saturation
% 1.31/0.52  
% 1.31/0.52  % (32329)Memory used [KB]: 5884
% 1.31/0.52  % (32329)Time elapsed: 0.135 s
% 1.31/0.52  % (32329)Instructions burned: 4 (million)
% 1.31/0.52  % (32329)------------------------------
% 1.31/0.52  % (32329)------------------------------
% 1.31/0.52  % (32333)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.31/0.52  % (32347)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.31/0.52  % (32328)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.53  % (32334)Instruction limit reached!
% 1.31/0.53  % (32334)------------------------------
% 1.31/0.53  % (32334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53  % (32332)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.31/0.53  % (32334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53  % (32334)Termination reason: Unknown
% 1.31/0.53  % (32334)Termination phase: Saturation
% 1.31/0.53  
% 1.31/0.53  % (32334)Memory used [KB]: 5884
% 1.31/0.53  % (32334)Time elapsed: 0.124 s
% 1.31/0.53  % (32334)Instructions burned: 3 (million)
% 1.31/0.53  % (32334)------------------------------
% 1.31/0.53  % (32334)------------------------------
% 1.45/0.53  % (32333)Instruction limit reached!
% 1.45/0.53  % (32333)------------------------------
% 1.45/0.53  % (32333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53  % (32333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53  % (32333)Termination reason: Unknown
% 1.45/0.53  % (32333)Termination phase: Saturation
% 1.45/0.53  
% 1.45/0.53  % (32333)Memory used [KB]: 5884
% 1.45/0.53  % (32333)Time elapsed: 0.134 s
% 1.45/0.53  % (32333)Instructions burned: 5 (million)
% 1.45/0.53  % (32333)------------------------------
% 1.45/0.53  % (32333)------------------------------
% 1.45/0.53  % (32350)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.53  % (32342)Refutation not found, incomplete strategy% (32342)------------------------------
% 1.45/0.53  % (32342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53  % (32338)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.45/0.53  % (32342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53  % (32342)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.53  
% 1.45/0.53  % (32342)Memory used [KB]: 5884
% 1.45/0.53  % (32342)Time elapsed: 0.125 s
% 1.45/0.53  % (32342)Instructions burned: 1 (million)
% 1.45/0.53  % (32342)------------------------------
% 1.45/0.53  % (32342)------------------------------
% 1.45/0.53  % (32349)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.45/0.53  % (32339)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.45/0.53  % (32327)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.45/0.53  % (32339)Refutation not found, incomplete strategy% (32339)------------------------------
% 1.45/0.53  % (32339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53  % (32339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53  % (32339)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.53  
% 1.45/0.53  % (32339)Memory used [KB]: 10362
% 1.45/0.53  % (32339)Time elapsed: 0.146 s
% 1.45/0.53  % (32339)Instructions burned: 2 (million)
% 1.45/0.53  % (32339)------------------------------
% 1.45/0.53  % (32339)------------------------------
% 1.45/0.53  % (32344)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.45/0.54  % (32348)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.45/0.54  % (32348)Refutation not found, incomplete strategy% (32348)------------------------------
% 1.45/0.54  % (32348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (32348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (32348)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54  
% 1.45/0.54  % (32348)Memory used [KB]: 1279
% 1.45/0.54  % (32348)Time elapsed: 0.146 s
% 1.45/0.54  % (32348)Instructions burned: 2 (million)
% 1.45/0.54  % (32348)------------------------------
% 1.45/0.54  % (32348)------------------------------
% 1.45/0.54  % (32330)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.54  % (32343)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.45/0.54  % (32341)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.45/0.54  % (32331)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.45/0.54  % (32346)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.45/0.54  % (32341)Instruction limit reached!
% 1.45/0.54  % (32341)------------------------------
% 1.45/0.54  % (32341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (32341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (32341)Termination reason: Unknown
% 1.45/0.54  % (32341)Termination phase: Saturation
% 1.45/0.54  
% 1.45/0.54  % (32341)Memory used [KB]: 1407
% 1.45/0.54  % (32341)Time elapsed: 0.151 s
% 1.45/0.54  % (32341)Instructions burned: 7 (million)
% 1.45/0.54  % (32341)------------------------------
% 1.45/0.54  % (32341)------------------------------
% 1.45/0.54  % (32347)Refutation not found, incomplete strategy% (32347)------------------------------
% 1.45/0.54  % (32347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (32347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (32347)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54  
% 1.45/0.54  % (32347)Memory used [KB]: 5884
% 1.45/0.54  % (32347)Time elapsed: 0.137 s
% 1.45/0.54  % (32347)Instructions burned: 2 (million)
% 1.45/0.54  % (32347)------------------------------
% 1.45/0.54  % (32347)------------------------------
% 1.45/0.54  % (32346)Refutation not found, incomplete strategy% (32346)------------------------------
% 1.45/0.54  % (32346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (32346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (32346)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54  
% 1.45/0.54  % (32346)Memory used [KB]: 5884
% 1.45/0.54  % (32346)Time elapsed: 0.156 s
% 1.45/0.54  % (32346)Instructions burned: 2 (million)
% 1.45/0.54  % (32346)------------------------------
% 1.45/0.54  % (32346)------------------------------
% 1.45/0.54  % (32336)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.45/0.54  % (32331)Instruction limit reached!
% 1.45/0.54  % (32331)------------------------------
% 1.45/0.54  % (32331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (32331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (32331)Termination reason: Unknown
% 1.45/0.54  % (32331)Termination phase: Saturation
% 1.45/0.54  
% 1.45/0.54  % (32331)Memory used [KB]: 5884
% 1.45/0.54  % (32331)Time elapsed: 0.149 s
% 1.45/0.54  % (32331)Instructions burned: 6 (million)
% 1.45/0.54  % (32331)------------------------------
% 1.45/0.54  % (32331)------------------------------
% 1.45/0.54  Detected maximum model sizes of [4]
% 1.45/0.54  TRYING [1]
% 1.45/0.54  % (32340)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.54  TRYING [2]
% 1.45/0.54  % (32335)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.45/0.55  % (32332)Instruction limit reached!
% 1.45/0.55  % (32332)------------------------------
% 1.45/0.55  % (32332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  TRYING [3]
% 1.45/0.55  % (32336)Instruction limit reached!
% 1.45/0.55  % (32336)------------------------------
% 1.45/0.55  % (32336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (32336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55  % (32338)Instruction limit reached!
% 1.45/0.55  % (32338)------------------------------
% 1.45/0.55  % (32338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (32340)Instruction limit reached!
% 1.45/0.55  % (32340)------------------------------
% 1.45/0.55  % (32340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (32332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55  % (32332)Termination reason: Unknown
% 1.45/0.55  % (32332)Termination phase: Saturation
% 1.45/0.55  
% 1.45/0.55  % (32332)Memory used [KB]: 5884
% 1.45/0.55  % (32332)Time elapsed: 0.141 s
% 1.45/0.55  % (32332)Instructions burned: 23 (million)
% 1.45/0.55  % (32332)------------------------------
% 1.45/0.55  % (32332)------------------------------
% 1.45/0.55  % (32340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55  % (32340)Termination reason: Unknown
% 1.45/0.55  % (32340)Termination phase: Saturation
% 1.45/0.55  
% 1.45/0.55  % (32340)Memory used [KB]: 5884
% 1.45/0.55  % (32340)Time elapsed: 0.160 s
% 1.45/0.55  % (32340)Instructions burned: 7 (million)
% 1.45/0.55  % (32340)------------------------------
% 1.45/0.55  % (32340)------------------------------
% 1.45/0.56  % (32336)Termination reason: Unknown
% 1.45/0.56  % (32336)Termination phase: Finite model building SAT solving
% 1.45/0.56  
% 1.45/0.56  % (32336)Memory used [KB]: 6012
% 1.45/0.56  % (32336)Time elapsed: 0.161 s
% 1.45/0.56  % (32336)Instructions burned: 6 (million)
% 1.45/0.56  % (32336)------------------------------
% 1.45/0.56  % (32336)------------------------------
% 1.45/0.56  % (32349)Instruction limit reached!
% 1.45/0.56  % (32349)------------------------------
% 1.45/0.56  % (32349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56  % (32338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56  % (32338)Termination reason: Unknown
% 1.45/0.56  % (32338)Termination phase: Saturation
% 1.45/0.56  
% 1.45/0.56  % (32338)Memory used [KB]: 5884
% 1.45/0.56  % (32338)Time elapsed: 0.150 s
% 1.45/0.56  % (32338)Instructions burned: 10 (million)
% 1.45/0.56  % (32338)------------------------------
% 1.45/0.56  % (32338)------------------------------
% 1.45/0.57  % (32345)Instruction limit reached!
% 1.45/0.57  % (32345)------------------------------
% 1.45/0.57  % (32345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.57  % (32326)Instruction limit reached!
% 1.45/0.57  % (32326)------------------------------
% 1.45/0.57  % (32326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.57  % (32326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.57  % (32326)Termination reason: Unknown
% 1.45/0.57  % (32326)Termination phase: Saturation
% 1.45/0.57  
% 1.45/0.57  % (32326)Memory used [KB]: 5884
% 1.45/0.57  % (32326)Time elapsed: 0.175 s
% 1.45/0.57  % (32326)Instructions burned: 25 (million)
% 1.45/0.57  % (32326)------------------------------
% 1.45/0.57  % (32326)------------------------------
% 1.45/0.57  % (32349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.57  % (32349)Termination reason: Unknown
% 1.45/0.57  % (32349)Termination phase: Saturation
% 1.45/0.57  
% 1.45/0.57  % (32349)Memory used [KB]: 6012
% 1.45/0.57  % (32349)Time elapsed: 0.157 s
% 1.45/0.57  % (32349)Instructions burned: 21 (million)
% 1.45/0.57  % (32349)------------------------------
% 1.45/0.57  % (32349)------------------------------
% 1.45/0.57  % (32322)Instruction limit reached!
% 1.45/0.57  % (32322)------------------------------
% 1.45/0.57  % (32322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.57  % (32345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.57  % (32345)Termination reason: Unknown
% 1.45/0.57  % (32345)Termination phase: Saturation
% 1.45/0.57  
% 1.45/0.57  % (32345)Memory used [KB]: 6140
% 1.45/0.57  % (32345)Time elapsed: 0.174 s
% 1.45/0.57  % (32345)Instructions burned: 47 (million)
% 1.45/0.57  % (32345)------------------------------
% 1.45/0.57  % (32345)------------------------------
% 1.45/0.58  % (32335)Instruction limit reached!
% 1.45/0.58  % (32335)------------------------------
% 1.45/0.58  % (32335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58  % (32335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58  % (32335)Termination reason: Unknown
% 1.45/0.58  % (32335)Termination phase: Saturation
% 1.45/0.58  
% 1.45/0.58  % (32335)Memory used [KB]: 1535
% 1.45/0.58  % (32335)Time elapsed: 0.148 s
% 1.45/0.58  % (32335)Instructions burned: 31 (million)
% 1.45/0.58  % (32335)------------------------------
% 1.45/0.58  % (32335)------------------------------
% 1.45/0.58  % (32322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58  % (32322)Termination reason: Unknown
% 1.45/0.58  % (32322)Termination phase: Saturation
% 1.45/0.58  
% 1.45/0.58  % (32322)Memory used [KB]: 1535
% 1.45/0.58  % (32322)Time elapsed: 0.179 s
% 1.45/0.58  % (32322)Instructions burned: 43 (million)
% 1.45/0.58  % (32322)------------------------------
% 1.45/0.58  % (32322)------------------------------
% 1.45/0.58  % (32344)Instruction limit reached!
% 1.45/0.58  % (32344)------------------------------
% 1.45/0.58  % (32344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.59  % (32344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.59  % (32344)Termination reason: Unknown
% 1.45/0.59  % (32344)Termination phase: Saturation
% 1.45/0.59  
% 1.45/0.59  % (32344)Memory used [KB]: 6012
% 1.45/0.59  % (32344)Time elapsed: 0.191 s
% 1.45/0.59  % (32344)Instructions burned: 37 (million)
% 1.45/0.59  % (32344)------------------------------
% 1.45/0.59  % (32344)------------------------------
% 1.45/0.59  % (32327)Instruction limit reached!
% 1.45/0.59  % (32327)------------------------------
% 1.45/0.59  % (32327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.59  % (32328)Instruction limit reached!
% 1.45/0.59  % (32328)------------------------------
% 1.45/0.59  % (32328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.59  % (32328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.59  % (32328)Termination reason: Unknown
% 1.45/0.59  % (32328)Termination phase: Saturation
% 1.45/0.59  
% 1.45/0.59  % (32328)Memory used [KB]: 6140
% 1.45/0.59  % (32328)Time elapsed: 0.179 s
% 1.45/0.59  % (32328)Instructions burned: 51 (million)
% 1.45/0.59  % (32328)------------------------------
% 1.45/0.59  % (32328)------------------------------
% 1.45/0.59  % (32330)Instruction limit reached!
% 1.45/0.59  % (32330)------------------------------
% 1.45/0.59  % (32330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.59  % (32330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.59  % (32330)Termination reason: Unknown
% 1.45/0.59  % (32330)Termination phase: Saturation
% 1.45/0.59  
% 1.45/0.59  % (32330)Memory used [KB]: 6012
% 1.45/0.59  % (32330)Time elapsed: 0.196 s
% 1.45/0.59  % (32330)Instructions burned: 51 (million)
% 1.45/0.59  % (32330)------------------------------
% 1.45/0.59  % (32330)------------------------------
% 1.45/0.61  % (32327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61  % (32327)Termination reason: Unknown
% 1.45/0.61  % (32327)Termination phase: Saturation
% 1.45/0.61  
% 1.45/0.61  % (32327)Memory used [KB]: 1535
% 1.45/0.61  % (32327)Time elapsed: 0.152 s
% 1.45/0.61  % (32327)Instructions burned: 49 (million)
% 1.45/0.61  % (32327)------------------------------
% 1.45/0.61  % (32327)------------------------------
% 1.92/0.65  % (32352)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.92/0.65  % (32363)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/147Mi)
% 1.92/0.65  % (32350)Instruction limit reached!
% 1.92/0.65  % (32350)------------------------------
% 1.92/0.65  % (32350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66  % (32354)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 1.92/0.66  % (32357)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.92/0.66  % (32351)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 1.92/0.66  % (32351)Refutation not found, incomplete strategy% (32351)------------------------------
% 1.92/0.66  % (32351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66  % (32351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66  % (32351)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.66  
% 1.92/0.66  % (32351)Memory used [KB]: 5884
% 1.92/0.66  % (32351)Time elapsed: 0.110 s
% 1.92/0.66  % (32351)Instructions burned: 2 (million)
% 1.92/0.66  % (32351)------------------------------
% 1.92/0.66  % (32351)------------------------------
% 1.92/0.66  % (32358)fmb+10_1:1_fde=unused:fmbsr=1.78:fmbsso=preprocessed_usage:gsp=on:ins=1:newcnf=on:updr=off:i=22:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/22Mi)
% 1.92/0.66  % (32367)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=116:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/116Mi)
% 1.92/0.66  % (32359)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 1.92/0.67  % (32350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.67  % (32350)Termination reason: Unknown
% 1.92/0.67  % (32350)Termination phase: Saturation
% 1.92/0.67  
% 1.92/0.67  % (32350)Memory used [KB]: 6268
% 1.92/0.67  % (32350)Time elapsed: 0.249 s
% 1.92/0.67  % (32350)Instructions burned: 100 (million)
% 1.92/0.67  % (32350)------------------------------
% 1.92/0.67  % (32350)------------------------------
% 1.92/0.67  % (32352)Refutation not found, incomplete strategy% (32352)------------------------------
% 1.92/0.67  % (32352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.67  % (32352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.67  % (32352)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.67  
% 1.92/0.67  % (32352)Memory used [KB]: 5884
% 1.92/0.67  % (32352)Time elapsed: 0.111 s
% 1.92/0.67  % (32352)Instructions burned: 1 (million)
% 1.92/0.67  % (32352)------------------------------
% 1.92/0.67  % (32352)------------------------------
% 1.92/0.67  % (32361)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=151:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/151Mi)
% 1.92/0.67  % (32360)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.92/0.67  % (32360)Refutation not found, incomplete strategy% (32360)------------------------------
% 1.92/0.67  % (32360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.67  % (32360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.67  % (32360)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.67  
% 1.92/0.67  % (32360)Memory used [KB]: 5884
% 1.92/0.67  % (32360)Time elapsed: 0.108 s
% 1.92/0.67  % (32360)Instructions burned: 2 (million)
% 1.92/0.67  % (32360)------------------------------
% 1.92/0.67  % (32360)------------------------------
% 1.92/0.67  % (32356)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 1.92/0.68  % (32355)dis+21_1:2_av=off:bd=off:fd=off:lcm=predicate:nwc=10.0:s2a=on:s2at=2.0:sp=reverse_arity:spb=goal:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 1.92/0.68  % (32353)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 (2998ds/3Mi)
% 1.92/0.68  % (32362)lrs+1011_1:64_nwc=3.0:s2a=on:sd=1:sgt=64:ss=included:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.92/0.68  Detected maximum model sizes of [4]
% 1.92/0.68  TRYING [1]
% 1.92/0.68  TRYING [2]
% 1.92/0.68  TRYING [3]
% 1.92/0.68  % (32353)Instruction limit reached!
% 1.92/0.68  % (32353)------------------------------
% 1.92/0.68  % (32353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.68  % (32353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.68  % (32353)Termination reason: Unknown
% 1.92/0.68  % (32353)Termination phase: Saturation
% 1.92/0.68  
% 1.92/0.68  % (32353)Memory used [KB]: 5884
% 1.92/0.68  TRYING [4]
% 1.92/0.68  % (32353)Time elapsed: 0.073 s
% 1.92/0.68  % (32353)Instructions burned: 3 (million)
% 1.92/0.68  % (32353)------------------------------
% 1.92/0.68  % (32353)------------------------------
% 1.92/0.69  % (32365)lrs+1011_1:1_ep=RS:flr=on:nm=2:sos=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 1.92/0.69  % (32369)lrs+1011_1:1_aac=none:drc=off:fsr=off:nwc=2.0:sp=occurrence:ss=included:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.92/0.69  % (32368)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 1.92/0.69  % (32343)First to succeed.
% 1.92/0.69  % (32366)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=151:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/151Mi)
% 1.92/0.70  % (32364)lrs+1011_1:7_av=off:bsr=on:fd=preordered:nwc=5.0:s2a=on:s2at=2.0:sp=reverse_frequency:to=lpo:urr=on:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/45Mi)
% 2.14/0.70  % (32343)Refutation found. Thanks to Tanya!
% 2.14/0.70  % SZS status Unsatisfiable for theBenchmark
% 2.14/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.14/0.70  % (32343)------------------------------
% 2.14/0.70  % (32343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.70  % (32343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.70  % (32343)Termination reason: Refutation
% 2.14/0.70  
% 2.14/0.70  % (32343)Memory used [KB]: 6396
% 2.14/0.70  % (32343)Time elapsed: 0.242 s
% 2.14/0.70  % (32343)Instructions burned: 93 (million)
% 2.14/0.70  % (32343)------------------------------
% 2.14/0.70  % (32343)------------------------------
% 2.14/0.70  % (32320)Success in time 0.362 s
%------------------------------------------------------------------------------