TSTP Solution File: GRP126-1.004 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP126-1.004 : TPTP v8.2.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 21:06:46 EDT 2024

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   60
% Syntax   : Number of formulae    :  225 (  33 unt;   0 def)
%            Number of atoms       :  600 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  638 ( 263   ~; 336   |;   0   &)
%                                         (  39 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   43 (  42 usr;  40 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f944,plain,
    $false,
    inference(avatar_sat_refutation,[],[f248,f264,f266,f276,f290,f355,f371,f421,f471,f473,f496,f498,f514,f516,f552,f559,f591,f604,f606,f615,f617,f642,f677,f700,f710,f711,f718,f720,f730,f743,f744,f760,f832,f839,f844,f861,f869,f885,f893,f918,f927,f943]) ).

fof(f943,plain,
    ~ spl0_47,
    inference(avatar_contradiction_clause,[],[f942]) ).

fof(f942,plain,
    ( $false
    | ~ spl0_47 ),
    inference(resolution,[],[f937,f15]) ).

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

fof(f937,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_47 ),
    inference(resolution,[],[f852,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ product(X1,X0,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f19,f21]) ).

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

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

fof(f852,plain,
    ( product(e_2,e_4,e_2)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f850,plain,
    ( spl0_47
  <=> product(e_2,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f927,plain,
    ( ~ spl0_16
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f926]) ).

fof(f926,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_43 ),
    inference(resolution,[],[f920,f14]) ).

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

fof(f920,plain,
    ( equalish(e_4,e_1)
    | ~ spl0_16
    | ~ spl0_43 ),
    inference(resolution,[],[f823,f763]) ).

fof(f763,plain,
    ( ! [X0] :
        ( ~ product(e_3,X0,e_2)
        | equalish(X0,e_1) )
    | ~ spl0_16 ),
    inference(resolution,[],[f362,f19]) ).

fof(f362,plain,
    ( product(e_3,e_1,e_2)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl0_16
  <=> product(e_3,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f823,plain,
    ( product(e_3,e_4,e_2)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f821,plain,
    ( spl0_43
  <=> product(e_3,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f918,plain,
    ( ~ spl0_42
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f917]) ).

fof(f917,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(resolution,[],[f915,f9]) ).

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

fof(f915,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_42
    | ~ spl0_46 ),
    inference(resolution,[],[f873,f848]) ).

fof(f848,plain,
    ( product(e_2,e_4,e_1)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f846,plain,
    ( spl0_46
  <=> product(e_2,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f873,plain,
    ( ! [X0] :
        ( ~ product(X0,e_4,e_1)
        | equalish(X0,e_3) )
    | ~ spl0_42 ),
    inference(resolution,[],[f819,f20]) ).

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

fof(f819,plain,
    ( product(e_3,e_4,e_1)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f817,plain,
    ( spl0_42
  <=> product(e_3,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f893,plain,
    ( spl0_4
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f886,f854,f549,f233]) ).

fof(f233,plain,
    ( spl0_4
  <=> product(e_3,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f549,plain,
    ( spl0_36
  <=> product(e_4,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f854,plain,
    ( spl0_48
  <=> product(e_2,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f886,plain,
    ( product(e_3,e_3,e_4)
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(resolution,[],[f856,f775]) ).

fof(f775,plain,
    ( ! [X0] :
        ( ~ product(e_2,e_4,X0)
        | product(X0,e_3,e_4) )
    | ~ spl0_36 ),
    inference(resolution,[],[f551,f22]) ).

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

fof(f551,plain,
    ( product(e_4,e_2,e_3)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f856,plain,
    ( product(e_2,e_4,e_3)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f885,plain,
    ( ~ spl0_32
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f884]) ).

fof(f884,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(resolution,[],[f878,f15]) ).

fof(f878,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(resolution,[],[f860,f770]) ).

fof(f770,plain,
    ( ! [X0] :
        ( ~ product(e_4,e_3,X0)
        | equalish(X0,e_2) )
    | ~ spl0_32 ),
    inference(resolution,[],[f470,f18]) ).

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

fof(f470,plain,
    ( product(e_4,e_3,e_2)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl0_32
  <=> product(e_4,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f860,plain,
    ( product(e_4,e_3,e_4)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f858,plain,
    ( spl0_49
  <=> product(e_4,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f869,plain,
    ~ spl0_44,
    inference(avatar_contradiction_clause,[],[f868]) ).

fof(f868,plain,
    ( $false
    | ~ spl0_44 ),
    inference(resolution,[],[f863,f16]) ).

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

fof(f863,plain,
    ( equalish(e_4,e_3)
    | ~ spl0_44 ),
    inference(resolution,[],[f827,f27]) ).

fof(f827,plain,
    ( product(e_3,e_4,e_3)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f825,plain,
    ( spl0_44
  <=> product(e_3,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f861,plain,
    ( ~ spl0_24
    | ~ spl0_1
    | spl0_46
    | spl0_47
    | spl0_48
    | spl0_49
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f842,f549,f858,f854,f850,f846,f42,f395]) ).

fof(f395,plain,
    ( spl0_24
  <=> group_element(e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f42,plain,
    ( spl0_1
  <=> group_element(e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f842,plain,
    ( product(e_4,e_3,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1)
    | ~ group_element(e_4)
    | ~ group_element(e_2)
    | ~ spl0_36 ),
    inference(resolution,[],[f775,f17]) ).

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

fof(f844,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f843]) ).

fof(f843,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f44,f4]) ).

fof(f4,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).

fof(f44,plain,
    ( ~ group_element(e_4)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f839,plain,
    ( spl0_39
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f834,f829,f586]) ).

fof(f586,plain,
    ( spl0_39
  <=> equalish(e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f829,plain,
    ( spl0_45
  <=> product(e_4,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f834,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_45 ),
    inference(resolution,[],[f831,f27]) ).

fof(f831,plain,
    ( product(e_4,e_2,e_4)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f832,plain,
    ( ~ spl0_5
    | ~ spl0_1
    | spl0_42
    | spl0_43
    | spl0_44
    | spl0_45
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f815,f468,f829,f825,f821,f817,f42,f237]) ).

fof(f237,plain,
    ( spl0_5
  <=> group_element(e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f815,plain,
    ( product(e_4,e_2,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1)
    | ~ group_element(e_4)
    | ~ group_element(e_3)
    | ~ spl0_32 ),
    inference(resolution,[],[f771,f17]) ).

fof(f771,plain,
    ( ! [X0] :
        ( ~ product(e_3,e_4,X0)
        | product(X0,e_2,e_4) )
    | ~ spl0_32 ),
    inference(resolution,[],[f470,f22]) ).

fof(f760,plain,
    ~ spl0_31,
    inference(avatar_contradiction_clause,[],[f759]) ).

fof(f759,plain,
    ( $false
    | ~ spl0_31 ),
    inference(resolution,[],[f753,f13]) ).

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

fof(f753,plain,
    ( equalish(e_3,e_4)
    | ~ spl0_31 ),
    inference(resolution,[],[f448,f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ product(X1,X1,X0)
      | equalish(X0,X1) ),
    inference(resolution,[],[f18,f21]) ).

fof(f448,plain,
    ( product(e_4,e_4,e_3)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f446,plain,
    ( spl0_31
  <=> product(e_4,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f744,plain,
    ( ~ spl0_23
    | ~ spl0_5
    | spl0_29
    | spl0_30
    | spl0_8
    | spl0_31
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f634,f357,f446,f261,f442,f438,f237,f391]) ).

fof(f391,plain,
    ( spl0_23
  <=> group_element(e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f438,plain,
    ( spl0_29
  <=> product(e_1,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f442,plain,
    ( spl0_30
  <=> product(e_1,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f261,plain,
    ( spl0_8
  <=> product(e_1,e_3,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f357,plain,
    ( spl0_15
  <=> ! [X0] :
        ( product(X0,e_4,e_3)
        | ~ product(e_1,e_3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f634,plain,
    ( product(e_4,e_4,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | ~ spl0_15 ),
    inference(resolution,[],[f358,f17]) ).

fof(f358,plain,
    ( ! [X0] :
        ( ~ product(e_1,e_3,X0)
        | product(X0,e_4,e_3) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f743,plain,
    ( spl0_35
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f735,f368,f492]) ).

fof(f492,plain,
    ( spl0_35
  <=> equalish(e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f368,plain,
    ( spl0_18
  <=> product(e_3,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f735,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_18 ),
    inference(resolution,[],[f370,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f20,f21]) ).

fof(f370,plain,
    ( product(e_3,e_1,e_1)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f730,plain,
    ~ spl0_26,
    inference(avatar_contradiction_clause,[],[f729]) ).

fof(f729,plain,
    ( $false
    | ~ spl0_26 ),
    inference(resolution,[],[f724,f5]) ).

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

fof(f724,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_26 ),
    inference(resolution,[],[f405,f29]) ).

fof(f405,plain,
    ( product(e_1,e_2,e_2)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f403,plain,
    ( spl0_26
  <=> product(e_1,e_2,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f720,plain,
    ~ spl0_39,
    inference(avatar_contradiction_clause,[],[f719]) ).

fof(f719,plain,
    ( $false
    | ~ spl0_39 ),
    inference(resolution,[],[f588,f10]) ).

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

fof(f588,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f718,plain,
    ( spl0_39
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f712,f411,f586]) ).

fof(f411,plain,
    ( spl0_28
  <=> product(e_4,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f712,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_28 ),
    inference(resolution,[],[f413,f25]) ).

fof(f413,plain,
    ( product(e_4,e_4,e_2)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f711,plain,
    ( ~ spl0_23
    | ~ spl0_24
    | spl0_25
    | spl0_26
    | spl0_27
    | spl0_28
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f655,f341,f411,f407,f403,f399,f395,f391]) ).

fof(f399,plain,
    ( spl0_25
  <=> product(e_1,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f407,plain,
    ( spl0_27
  <=> product(e_1,e_2,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f341,plain,
    ( spl0_11
  <=> ! [X0] :
        ( product(X0,e_4,e_2)
        | ~ product(e_1,e_2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f655,plain,
    ( product(e_4,e_4,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | ~ spl0_11 ),
    inference(resolution,[],[f342,f17]) ).

fof(f342,plain,
    ( ! [X0] :
        ( ~ product(e_1,e_2,X0)
        | product(X0,e_4,e_2) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f710,plain,
    ( ~ spl0_40
    | ~ spl0_41 ),
    inference(avatar_contradiction_clause,[],[f709]) ).

fof(f709,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(resolution,[],[f701,f9]) ).

fof(f701,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(resolution,[],[f699,f681]) ).

fof(f681,plain,
    ( ! [X0] :
        ( ~ product(e_4,X0,e_1)
        | equalish(X0,e_3) )
    | ~ spl0_40 ),
    inference(resolution,[],[f676,f19]) ).

fof(f676,plain,
    ( product(e_4,e_3,e_1)
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f674,plain,
    ( spl0_40
  <=> product(e_4,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f699,plain,
    ( product(e_4,e_2,e_1)
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f697,plain,
    ( spl0_41
  <=> product(e_4,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f700,plain,
    ( ~ spl0_5
    | ~ spl0_23
    | spl0_18
    | spl0_16
    | spl0_17
    | spl0_41
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f695,f442,f697,f364,f360,f368,f391,f237]) ).

fof(f364,plain,
    ( spl0_17
  <=> product(e_3,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f695,plain,
    ( product(e_4,e_2,e_1)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_3)
    | ~ spl0_30 ),
    inference(resolution,[],[f623,f17]) ).

fof(f623,plain,
    ( ! [X0] :
        ( ~ product(e_3,e_1,X0)
        | product(X0,e_2,e_1) )
    | ~ spl0_30 ),
    inference(resolution,[],[f444,f22]) ).

fof(f444,plain,
    ( product(e_1,e_3,e_2)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f677,plain,
    ( ~ spl0_24
    | ~ spl0_23
    | spl0_14
    | spl0_12
    | spl0_13
    | spl0_40
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f672,f407,f674,f348,f344,f352,f391,f395]) ).

fof(f352,plain,
    ( spl0_14
  <=> product(e_2,e_1,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f344,plain,
    ( spl0_12
  <=> product(e_2,e_1,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f348,plain,
    ( spl0_13
  <=> product(e_2,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f672,plain,
    ( product(e_4,e_3,e_1)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | ~ spl0_27 ),
    inference(resolution,[],[f525,f17]) ).

fof(f525,plain,
    ( ! [X0] :
        ( ~ product(e_2,e_1,X0)
        | product(X0,e_3,e_1) )
    | ~ spl0_27 ),
    inference(resolution,[],[f409,f22]) ).

fof(f409,plain,
    ( product(e_1,e_2,e_3)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f642,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(avatar_contradiction_clause,[],[f641]) ).

fof(f641,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(resolution,[],[f635,f14]) ).

fof(f635,plain,
    ( equalish(e_4,e_1)
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(resolution,[],[f632,f501]) ).

fof(f501,plain,
    ( ! [X0] :
        ( ~ product(e_2,X0,e_3)
        | equalish(X0,e_1) )
    | ~ spl0_13 ),
    inference(resolution,[],[f350,f19]) ).

fof(f350,plain,
    ( product(e_2,e_1,e_3)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f632,plain,
    ( product(e_2,e_4,e_3)
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(resolution,[],[f358,f444]) ).

fof(f617,plain,
    ~ spl0_37,
    inference(avatar_contradiction_clause,[],[f616]) ).

fof(f616,plain,
    ( $false
    | ~ spl0_37 ),
    inference(resolution,[],[f580,f12]) ).

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

fof(f580,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f578,plain,
    ( spl0_37
  <=> equalish(e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f615,plain,
    ~ spl0_17,
    inference(avatar_contradiction_clause,[],[f614]) ).

fof(f614,plain,
    ( $false
    | ~ spl0_17 ),
    inference(resolution,[],[f608,f6]) ).

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

fof(f608,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_17 ),
    inference(resolution,[],[f366,f27]) ).

fof(f366,plain,
    ( product(e_3,e_1,e_3)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f606,plain,
    ~ spl0_35,
    inference(avatar_contradiction_clause,[],[f605]) ).

fof(f605,plain,
    ( $false
    | ~ spl0_35 ),
    inference(resolution,[],[f494,f11]) ).

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

fof(f494,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f604,plain,
    ( spl0_35
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f596,f438,f492]) ).

fof(f596,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_29 ),
    inference(resolution,[],[f440,f27]) ).

fof(f440,plain,
    ( product(e_1,e_3,e_1)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f591,plain,
    ( spl0_37
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f570,f442,f360,f578]) ).

fof(f570,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(resolution,[],[f560,f25]) ).

fof(f560,plain,
    ( product(e_2,e_2,e_3)
    | ~ spl0_16
    | ~ spl0_30 ),
    inference(resolution,[],[f444,f454]) ).

fof(f454,plain,
    ( ! [X0] :
        ( ~ product(e_1,e_3,X0)
        | product(X0,e_2,e_3) )
    | ~ spl0_16 ),
    inference(resolution,[],[f362,f22]) ).

fof(f559,plain,
    ( ~ spl0_27
    | ~ spl0_36 ),
    inference(avatar_contradiction_clause,[],[f558]) ).

fof(f558,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(resolution,[],[f553,f14]) ).

fof(f553,plain,
    ( equalish(e_4,e_1)
    | ~ spl0_27
    | ~ spl0_36 ),
    inference(resolution,[],[f551,f522]) ).

fof(f522,plain,
    ( ! [X0] :
        ( ~ product(X0,e_2,e_3)
        | equalish(X0,e_1) )
    | ~ spl0_27 ),
    inference(resolution,[],[f409,f20]) ).

fof(f552,plain,
    ( ~ spl0_23
    | ~ spl0_5
    | spl0_29
    | spl0_30
    | spl0_8
    | spl0_36
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f547,f360,f549,f261,f442,f438,f237,f391]) ).

fof(f547,plain,
    ( product(e_4,e_2,e_3)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | ~ spl0_16 ),
    inference(resolution,[],[f454,f17]) ).

fof(f516,plain,
    ~ spl0_34,
    inference(avatar_contradiction_clause,[],[f515]) ).

fof(f515,plain,
    ( $false
    | ~ spl0_34 ),
    inference(resolution,[],[f490,f8]) ).

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

fof(f490,plain,
    ( equalish(e_2,e_1)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f488,plain,
    ( spl0_34
  <=> equalish(e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f514,plain,
    ( spl0_34
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f507,f399,f488]) ).

fof(f507,plain,
    ( equalish(e_2,e_1)
    | ~ spl0_25 ),
    inference(resolution,[],[f401,f27]) ).

fof(f401,plain,
    ( product(e_1,e_2,e_1)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f498,plain,
    spl0_24,
    inference(avatar_contradiction_clause,[],[f497]) ).

fof(f497,plain,
    ( $false
    | spl0_24 ),
    inference(resolution,[],[f397,f2]) ).

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

fof(f397,plain,
    ( ~ group_element(e_2)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f496,plain,
    ( spl0_34
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f477,f352,f488]) ).

fof(f477,plain,
    ( equalish(e_2,e_1)
    | ~ spl0_14 ),
    inference(resolution,[],[f354,f29]) ).

fof(f354,plain,
    ( product(e_2,e_1,e_1)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f473,plain,
    spl0_23,
    inference(avatar_contradiction_clause,[],[f472]) ).

fof(f472,plain,
    ( $false
    | spl0_23 ),
    inference(resolution,[],[f393,f1]) ).

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

fof(f393,plain,
    ( ~ group_element(e_1)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f471,plain,
    ( ~ spl0_23
    | ~ spl0_24
    | spl0_25
    | spl0_26
    | spl0_27
    | spl0_32
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f466,f348,f468,f407,f403,f399,f395,f391]) ).

fof(f466,plain,
    ( product(e_4,e_3,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1)
    | ~ spl0_13 ),
    inference(resolution,[],[f426,f17]) ).

fof(f426,plain,
    ( ! [X0] :
        ( ~ product(e_1,e_2,X0)
        | product(X0,e_3,e_2) )
    | ~ spl0_13 ),
    inference(resolution,[],[f350,f22]) ).

fof(f421,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f420]) ).

fof(f420,plain,
    ( $false
    | ~ spl0_12 ),
    inference(resolution,[],[f415,f5]) ).

fof(f415,plain,
    ( equalish(e_1,e_2)
    | ~ spl0_12 ),
    inference(resolution,[],[f346,f27]) ).

fof(f346,plain,
    ( product(e_2,e_1,e_2)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f371,plain,
    ( spl0_15
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f338,f368,f364,f360,f357]) ).

fof(f338,plain,
    ! [X0] :
      ( product(e_3,e_1,e_1)
      | product(e_3,e_1,e_3)
      | product(e_3,e_1,e_2)
      | product(X0,e_4,e_3)
      | ~ product(e_1,e_3,X0) ),
    inference(resolution,[],[f192,f3]) ).

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

fof(f192,plain,
    ! [X0,X1] :
      ( ~ group_element(X0)
      | product(X0,e_1,e_1)
      | product(X0,e_1,e_3)
      | product(X0,e_1,e_2)
      | product(X1,e_4,X0)
      | ~ product(e_1,X0,X1) ),
    inference(resolution,[],[f34,f1]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ group_element(X1)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | product(X0,X1,e_3)
      | ~ group_element(X0)
      | product(X2,e_4,X0)
      | ~ product(X1,X0,X2) ),
    inference(resolution,[],[f17,f22]) ).

fof(f355,plain,
    ( spl0_11
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f337,f352,f348,f344,f341]) ).

fof(f337,plain,
    ! [X0] :
      ( product(e_2,e_1,e_1)
      | product(e_2,e_1,e_3)
      | product(e_2,e_1,e_2)
      | product(X0,e_4,e_2)
      | ~ product(e_1,e_2,X0) ),
    inference(resolution,[],[f192,f2]) ).

fof(f290,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f289,plain,
    ( $false
    | ~ spl0_7 ),
    inference(resolution,[],[f284,f6]) ).

fof(f284,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_7 ),
    inference(resolution,[],[f247,f25]) ).

fof(f247,plain,
    ( product(e_3,e_3,e_1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl0_7
  <=> product(e_3,e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f276,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f273,f9]) ).

fof(f273,plain,
    ( equalish(e_2,e_3)
    | ~ spl0_6 ),
    inference(resolution,[],[f243,f25]) ).

fof(f243,plain,
    ( product(e_3,e_3,e_2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl0_6
  <=> product(e_3,e_3,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f266,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f265]) ).

fof(f265,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f239,f3]) ).

fof(f239,plain,
    ( ~ group_element(e_3)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f264,plain,
    ( ~ spl0_8
    | spl0_7
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f259,f241,f237,f245,f261]) ).

fof(f259,plain,
    ( product(e_3,e_3,e_2)
    | ~ group_element(e_3)
    | product(e_3,e_3,e_1)
    | ~ product(e_1,e_3,e_3) ),
    inference(resolution,[],[f254,f13]) ).

fof(f254,plain,
    ! [X0] :
      ( equalish(X0,e_4)
      | product(X0,X0,e_2)
      | ~ group_element(X0)
      | product(X0,X0,e_1)
      | ~ product(e_1,X0,X0) ),
    inference(resolution,[],[f119,f6]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( equalish(X1,e_3)
      | equalish(X0,e_4)
      | product(X0,X0,e_2)
      | ~ group_element(X0)
      | product(X0,X0,e_1)
      | ~ product(X1,X0,X0) ),
    inference(resolution,[],[f74,f20]) ).

fof(f74,plain,
    ! [X0] :
      ( product(e_3,X0,X0)
      | product(X0,X0,e_1)
      | equalish(X0,e_4)
      | product(X0,X0,e_2)
      | ~ group_element(X0) ),
    inference(resolution,[],[f61,f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ product(X1,X1,X0)
      | product(X0,X1,X1) ),
    inference(resolution,[],[f21,f22]) ).

fof(f61,plain,
    ! [X0] :
      ( product(X0,X0,e_3)
      | ~ group_element(X0)
      | product(X0,X0,e_1)
      | equalish(X0,e_4)
      | product(X0,X0,e_2) ),
    inference(resolution,[],[f53,f21]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ product(X1,X0,X0)
      | product(X0,X0,e_1)
      | ~ group_element(X0)
      | product(X0,X0,e_3)
      | equalish(X1,e_4)
      | product(X0,X0,e_2) ),
    inference(resolution,[],[f39,f20]) ).

fof(f39,plain,
    ! [X0] :
      ( product(e_4,X0,X0)
      | product(X0,X0,e_2)
      | product(X0,X0,e_1)
      | ~ group_element(X0)
      | product(X0,X0,e_3) ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( product(X0,X0,e_3)
      | product(X0,X0,e_2)
      | product(X0,X0,e_1)
      | ~ group_element(X0)
      | ~ group_element(X0)
      | product(e_4,X0,X0) ),
    inference(resolution,[],[f17,f23]) ).

fof(f248,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f231,f245,f241,f237,f233]) ).

fof(f231,plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | ~ group_element(e_3)
    | ~ product(e_3,e_3,e_4) ),
    inference(resolution,[],[f228,f13]) ).

fof(f228,plain,
    ! [X0] :
      ( equalish(X0,e_4)
      | product(X0,X0,e_1)
      | product(X0,X0,e_2)
      | ~ group_element(X0)
      | ~ product(X0,X0,e_4) ),
    inference(resolution,[],[f68,f16]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( equalish(X1,e_3)
      | product(X0,X0,e_1)
      | equalish(X0,e_4)
      | product(X0,X0,e_2)
      | ~ group_element(X0)
      | ~ product(X0,X0,X1) ),
    inference(resolution,[],[f61,f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP126-1.004 : TPTP v8.2.0. Released v1.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 04:20:22 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.74  % (19970)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (19976)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.74  % (19974)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (19973)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74  % (19972)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (19971)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.74  % (19975)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74  % (19977)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.74  % (19970)Refutation not found, incomplete strategy% (19970)------------------------------
% 0.56/0.74  % (19970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (19970)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (19970)Memory used [KB]: 962
% 0.56/0.74  % (19970)Time elapsed: 0.002 s
% 0.56/0.74  % (19970)Instructions burned: 2 (million)
% 0.56/0.74  % (19975)Refutation not found, incomplete strategy% (19975)------------------------------
% 0.56/0.74  % (19975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (19973)Refutation not found, incomplete strategy% (19973)------------------------------
% 0.56/0.74  % (19973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (19973)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (19973)Memory used [KB]: 966
% 0.56/0.74  % (19973)Time elapsed: 0.002 s
% 0.56/0.74  % (19973)Instructions burned: 2 (million)
% 0.56/0.74  % (19977)Refutation not found, incomplete strategy% (19977)------------------------------
% 0.56/0.74  % (19977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (19975)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (19975)Memory used [KB]: 950
% 0.56/0.74  % (19975)Time elapsed: 0.002 s
% 0.56/0.74  % (19975)Instructions burned: 2 (million)
% 0.56/0.74  % (19977)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (19977)Memory used [KB]: 950
% 0.56/0.74  % (19970)------------------------------
% 0.56/0.74  % (19970)------------------------------
% 0.56/0.74  % (19977)Time elapsed: 0.002 s
% 0.56/0.74  % (19977)Instructions burned: 2 (million)
% 0.56/0.74  % (19973)------------------------------
% 0.56/0.74  % (19973)------------------------------
% 0.56/0.74  % (19975)------------------------------
% 0.56/0.74  % (19975)------------------------------
% 0.56/0.74  % (19977)------------------------------
% 0.56/0.74  % (19977)------------------------------
% 0.56/0.75  % (19978)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.56/0.75  % (19979)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.56/0.75  % (19981)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.56/0.75  % (19980)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.75  % (19980)Refutation not found, incomplete strategy% (19980)------------------------------
% 0.56/0.75  % (19980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (19980)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (19980)Memory used [KB]: 966
% 0.56/0.75  % (19980)Time elapsed: 0.002 s
% 0.56/0.75  % (19980)Instructions burned: 2 (million)
% 0.56/0.75  % (19978)Refutation not found, incomplete strategy% (19978)------------------------------
% 0.56/0.75  % (19978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (19978)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (19978)Memory used [KB]: 973
% 0.56/0.75  % (19978)Time elapsed: 0.002 s
% 0.56/0.75  % (19978)Instructions burned: 4 (million)
% 0.56/0.75  % (19980)------------------------------
% 0.56/0.75  % (19980)------------------------------
% 0.56/0.75  % (19978)------------------------------
% 0.56/0.75  % (19978)------------------------------
% 0.56/0.75  % (19982)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.56/0.75  % (19983)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.56/0.76  % (19974)Instruction limit reached!
% 0.56/0.76  % (19974)------------------------------
% 0.56/0.76  % (19974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (19974)Termination reason: Unknown
% 0.56/0.76  % (19974)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (19974)Memory used [KB]: 1159
% 0.56/0.76  % (19974)Time elapsed: 0.014 s
% 0.56/0.76  % (19974)Instructions burned: 34 (million)
% 0.56/0.76  % (19974)------------------------------
% 0.56/0.76  % (19974)------------------------------
% 0.56/0.76  % (19971)First to succeed.
% 0.56/0.76  % (19971)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19969"
% 0.56/0.76  % (19984)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.56/0.76  % (19971)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Unsatisfiable for theBenchmark
% 0.56/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.76  % (19971)------------------------------
% 0.56/0.76  % (19971)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (19971)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (19971)Memory used [KB]: 1210
% 0.56/0.76  % (19971)Time elapsed: 0.019 s
% 0.56/0.76  % (19971)Instructions burned: 34 (million)
% 0.56/0.76  % (19969)Success in time 0.399 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------