TSTP Solution File: GRP126-4.004 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP126-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 May  1 02:27:22 EDT 2024

% Result   : Unsatisfiable 0.63s 0.76s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   60
% Syntax   : Number of formulae    :  216 (  34 unt;   0 def)
%            Number of atoms       :  548 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  566 ( 234   ~; 295   |;   0   &)
%                                         (  37 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   41 (  40 usr;  38 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1046,plain,
    $false,
    inference(avatar_sat_refutation,[],[f64,f72,f181,f198,f215,f232,f245,f268,f279,f290,f335,f401,f419,f429,f445,f473,f520,f530,f549,f608,f643,f654,f656,f734,f736,f755,f771,f862,f873,f883,f897,f899,f989,f999,f1009,f1018,f1020,f1037,f1045]) ).

fof(f1045,plain,
    ( spl0_39
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1038,f200,f166,f696]) ).

fof(f696,plain,
    ( spl0_39
  <=> equalish(e_3,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f166,plain,
    ( spl0_6
  <=> product(e_2,e_1,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f200,plain,
    ( spl0_14
  <=> product(e_2,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1038,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(resolution,[],[f202,f757]) ).

fof(f757,plain,
    ( ! [X0] :
        ( ~ product(e_2,X0,e_4)
        | equalish(X0,e_1) )
    | ~ spl0_6 ),
    inference(resolution,[],[f168,f23]) ).

fof(f23,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X5,X1)
      | equalish(X4,X5)
      | ~ product(X0,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',product_right_cancellation) ).

fof(f168,plain,
    ( product(e_2,e_1,e_4)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f202,plain,
    ( product(e_2,e_3,e_4)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f1037,plain,
    ~ spl0_16,
    inference(avatar_contradiction_clause,[],[f1036]) ).

fof(f1036,plain,
    ( $false
    | ~ spl0_16 ),
    inference(resolution,[],[f1028,f20]) ).

fof(f20,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_4_is_not_e_3) ).

fof(f1028,plain,
    ( equalish(e_4,e_3)
    | ~ spl0_16 ),
    inference(resolution,[],[f210,f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ product(X1,X1,X0)
      | equalish(X0,X1) ),
    inference(resolution,[],[f22,f25]) ).

fof(f25,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',product_idempotence) ).

fof(f22,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X0,X1,X5)
      | equalish(X4,X5)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',product_total_function2) ).

fof(f210,plain,
    ( product(e_3,e_3,e_4)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f208,plain,
    ( spl0_16
  <=> product(e_3,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f1020,plain,
    spl0_45,
    inference(avatar_contradiction_clause,[],[f1019]) ).

fof(f1019,plain,
    ( $false
    | spl0_45 ),
    inference(resolution,[],[f976,f6]) ).

fof(f6,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',element_2) ).

fof(f976,plain,
    ( ~ group_element(e_2)
    | spl0_45 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f974,plain,
    ( spl0_45
  <=> group_element(e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1018,plain,
    ( spl0_33
    | ~ spl0_12
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1011,f986,f191,f416]) ).

fof(f416,plain,
    ( spl0_33
  <=> equalish(e_1,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f191,plain,
    ( spl0_12
  <=> product(e_3,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f986,plain,
    ( spl0_48
  <=> product(e_3,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1011,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_12
    | ~ spl0_48 ),
    inference(resolution,[],[f988,f774]) ).

fof(f774,plain,
    ( ! [X0] :
        ( ~ product(e_3,e_2,X0)
        | equalish(X0,e_4) )
    | ~ spl0_12 ),
    inference(resolution,[],[f193,f22]) ).

fof(f193,plain,
    ( product(e_3,e_2,e_4)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f988,plain,
    ( product(e_3,e_2,e_1)
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f1009,plain,
    ( spl0_22
    | ~ spl0_6
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1000,f978,f166,f238]) ).

fof(f238,plain,
    ( spl0_22
  <=> product(e_1,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f978,plain,
    ( spl0_46
  <=> product(e_1,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1000,plain,
    ( product(e_1,e_4,e_2)
    | ~ spl0_6
    | ~ spl0_46 ),
    inference(resolution,[],[f980,f759]) ).

fof(f759,plain,
    ( ! [X0] :
        ( ~ product(e_1,e_2,X0)
        | product(X0,e_4,e_2) )
    | ~ spl0_6 ),
    inference(resolution,[],[f168,f26]) ).

fof(f26,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X1,X0,X3)
      | product(X2,X3,X1)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',qg4) ).

fof(f980,plain,
    ( product(e_1,e_2,e_1)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f999,plain,
    ( spl0_32
    | ~ spl0_18
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f990,f982,f221,f411]) ).

fof(f411,plain,
    ( spl0_32
  <=> equalish(e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f221,plain,
    ( spl0_18
  <=> product(e_2,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f982,plain,
    ( spl0_47
  <=> product(e_2,e_2,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f990,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_18
    | ~ spl0_47 ),
    inference(resolution,[],[f984,f902]) ).

fof(f902,plain,
    ( ! [X0] :
        ( ~ product(e_2,X0,e_1)
        | equalish(X0,e_4) )
    | ~ spl0_18 ),
    inference(resolution,[],[f223,f23]) ).

fof(f223,plain,
    ( product(e_2,e_4,e_1)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f984,plain,
    ( product(e_2,e_2,e_1)
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f989,plain,
    ( ~ spl0_45
    | ~ spl0_34
    | spl0_46
    | spl0_47
    | spl0_48
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f972,f242,f166,f986,f982,f978,f592,f974]) ).

fof(f592,plain,
    ( spl0_34
  <=> group_element(e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f242,plain,
    ( spl0_23
  <=> product(e_3,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f972,plain,
    ( product(e_3,e_2,e_1)
    | product(e_2,e_2,e_1)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2)
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(resolution,[],[f967,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( product(e_4,X0,X1)
      | product(e_3,X0,X1)
      | product(e_2,X0,X1)
      | product(e_1,X0,X1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',row_surjectivity) ).

fof(f967,plain,
    ( ~ product(e_4,e_2,e_1)
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(resolution,[],[f955,f13]) ).

fof(f13,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_2_is_not_e_3) ).

fof(f955,plain,
    ( ! [X0] :
        ( equalish(X0,e_3)
        | ~ product(e_4,X0,e_1) )
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(resolution,[],[f951,f23]) ).

fof(f951,plain,
    ( product(e_4,e_3,e_1)
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(resolution,[],[f760,f244]) ).

fof(f244,plain,
    ( product(e_3,e_4,e_2)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f760,plain,
    ( ! [X0] :
        ( ~ product(X0,e_4,e_2)
        | product(e_4,X0,e_1) )
    | ~ spl0_6 ),
    inference(resolution,[],[f168,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X2,X3,X1)
      | ~ product(X0,X1,X2)
      | product(X1,X0,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',qg4_2) ).

fof(f899,plain,
    ( ~ spl0_1
    | ~ spl0_27
    | spl0_25
    | spl0_24
    | spl0_26
    | spl0_30 ),
    inference(avatar_split_clause,[],[f743,f403,f255,f247,f251,f327,f54]) ).

fof(f54,plain,
    ( spl0_1
  <=> group_element(e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f327,plain,
    ( spl0_27
  <=> group_element(e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f251,plain,
    ( spl0_25
  <=> product(e_1,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f247,plain,
    ( spl0_24
  <=> product(e_2,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f255,plain,
    ( spl0_26
  <=> product(e_3,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f403,plain,
    ( spl0_30
  <=> product(e_4,e_4,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f743,plain,
    ( product(e_3,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_1,e_4,e_3)
    | ~ group_element(e_3)
    | ~ group_element(e_4)
    | spl0_30 ),
    inference(resolution,[],[f405,f1]) ).

fof(f405,plain,
    ( ~ product(e_4,e_4,e_3)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f897,plain,
    ( spl0_39
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f887,f851,f696]) ).

fof(f851,plain,
    ( spl0_42
  <=> product(e_1,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f887,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_42 ),
    inference(resolution,[],[f853,f33]) ).

fof(f853,plain,
    ( product(e_1,e_1,e_3)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f883,plain,
    ( spl0_33
    | ~ spl0_24
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f874,f855,f247,f416]) ).

fof(f855,plain,
    ( spl0_43
  <=> product(e_2,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f874,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_24
    | ~ spl0_43 ),
    inference(resolution,[],[f857,f671]) ).

fof(f671,plain,
    ( ! [X0] :
        ( ~ product(e_2,X0,e_3)
        | equalish(X0,e_4) )
    | ~ spl0_24 ),
    inference(resolution,[],[f249,f23]) ).

fof(f249,plain,
    ( product(e_2,e_4,e_3)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f857,plain,
    ( product(e_2,e_1,e_3)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f873,plain,
    ~ spl0_44,
    inference(avatar_contradiction_clause,[],[f872]) ).

fof(f872,plain,
    ( $false
    | ~ spl0_44 ),
    inference(resolution,[],[f870,f10]) ).

fof(f10,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_1_is_not_e_3) ).

fof(f870,plain,
    ( equalish(e_1,e_3)
    | ~ spl0_44 ),
    inference(resolution,[],[f861,f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ product(X1,X0,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f23,f25]) ).

fof(f861,plain,
    ( product(e_3,e_1,e_3)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f859,plain,
    ( spl0_44
  <=> product(e_3,e_1,e_3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f862,plain,
    ( ~ spl0_34
    | ~ spl0_27
    | spl0_42
    | spl0_43
    | spl0_44
    | spl0_9
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f849,f229,f178,f859,f855,f851,f327,f592]) ).

fof(f178,plain,
    ( spl0_9
  <=> product(e_1,e_4,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f229,plain,
    ( spl0_20
  <=> product(e_3,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f849,plain,
    ( product(e_1,e_4,e_4)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_3)
    | product(e_1,e_1,e_3)
    | ~ group_element(e_3)
    | ~ group_element(e_1)
    | ~ spl0_20 ),
    inference(resolution,[],[f661,f1]) ).

fof(f661,plain,
    ( ! [X0] :
        ( ~ product(X0,e_1,e_3)
        | product(e_1,X0,e_4) )
    | ~ spl0_20 ),
    inference(resolution,[],[f231,f4]) ).

fof(f231,plain,
    ( product(e_3,e_4,e_1)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f771,plain,
    ( ~ spl0_11
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f770]) ).

fof(f770,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(resolution,[],[f763,f16]) ).

fof(f16,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_3_is_not_e_2) ).

fof(f763,plain,
    ( equalish(e_3,e_2)
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(resolution,[],[f206,f447]) ).

fof(f447,plain,
    ( ! [X0] :
        ( ~ product(e_1,X0,e_4)
        | equalish(X0,e_2) )
    | ~ spl0_11 ),
    inference(resolution,[],[f189,f23]) ).

fof(f189,plain,
    ( product(e_1,e_2,e_4)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl0_11
  <=> product(e_1,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f206,plain,
    ( product(e_1,e_3,e_4)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f204,plain,
    ( spl0_15
  <=> product(e_1,e_3,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f755,plain,
    ~ spl0_39,
    inference(avatar_contradiction_clause,[],[f754]) ).

fof(f754,plain,
    ( $false
    | ~ spl0_39 ),
    inference(resolution,[],[f698,f15]) ).

fof(f15,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_3_is_not_e_1) ).

fof(f698,plain,
    ( equalish(e_3,e_1)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f736,plain,
    ~ spl0_33,
    inference(avatar_contradiction_clause,[],[f735]) ).

fof(f735,plain,
    ( $false
    | ~ spl0_33 ),
    inference(resolution,[],[f418,f11]) ).

fof(f11,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_1_is_not_e_4) ).

fof(f418,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f734,plain,
    ~ spl0_32,
    inference(avatar_contradiction_clause,[],[f733]) ).

fof(f733,plain,
    ( $false
    | ~ spl0_32 ),
    inference(resolution,[],[f413,f14]) ).

fof(f14,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_2_is_not_e_4) ).

fof(f413,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f656,plain,
    spl0_34,
    inference(avatar_contradiction_clause,[],[f655]) ).

fof(f655,plain,
    ( $false
    | spl0_34 ),
    inference(resolution,[],[f594,f5]) ).

fof(f5,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',element_1) ).

fof(f594,plain,
    ( ~ group_element(e_1)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f654,plain,
    ~ spl0_26,
    inference(avatar_contradiction_clause,[],[f653]) ).

fof(f653,plain,
    ( $false
    | ~ spl0_26 ),
    inference(resolution,[],[f651,f20]) ).

fof(f651,plain,
    ( equalish(e_4,e_3)
    | ~ spl0_26 ),
    inference(resolution,[],[f257,f35]) ).

fof(f257,plain,
    ( product(e_3,e_4,e_3)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f643,plain,
    ( spl0_19
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f642,f251,f174,f225]) ).

fof(f225,plain,
    ( spl0_19
  <=> product(e_1,e_4,e_1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f174,plain,
    ( spl0_8
  <=> product(e_3,e_1,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f642,plain,
    ( product(e_1,e_4,e_1)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(resolution,[],[f628,f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,X1)
      | product(X1,X0,X1) ),
    inference(resolution,[],[f25,f4]) ).

fof(f628,plain,
    ( product(e_4,e_1,e_1)
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(resolution,[],[f253,f434]) ).

fof(f434,plain,
    ( ! [X0] :
        ( ~ product(X0,e_4,e_3)
        | product(e_4,X0,e_1) )
    | ~ spl0_8 ),
    inference(resolution,[],[f176,f4]) ).

fof(f176,plain,
    ( product(e_3,e_1,e_4)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f253,plain,
    ( product(e_1,e_4,e_3)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f608,plain,
    ( ~ spl0_23
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f567,f229,f242]) ).

fof(f567,plain,
    ( ~ product(e_3,e_4,e_2)
    | ~ spl0_20 ),
    inference(resolution,[],[f535,f12]) ).

fof(f12,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_2_is_not_e_1) ).

fof(f535,plain,
    ( ! [X0] :
        ( equalish(X0,e_1)
        | ~ product(e_3,e_4,X0) )
    | ~ spl0_20 ),
    inference(resolution,[],[f231,f22]) ).

fof(f549,plain,
    ( ~ spl0_25
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f547,f238,f251]) ).

fof(f547,plain,
    ( ~ product(e_1,e_4,e_3)
    | ~ spl0_22 ),
    inference(resolution,[],[f478,f16]) ).

fof(f478,plain,
    ( ! [X0] :
        ( equalish(X0,e_2)
        | ~ product(e_1,e_4,X0) )
    | ~ spl0_22 ),
    inference(resolution,[],[f240,f22]) ).

fof(f240,plain,
    ( product(e_1,e_4,e_2)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f530,plain,
    ~ spl0_19,
    inference(avatar_contradiction_clause,[],[f529]) ).

fof(f529,plain,
    ( $false
    | ~ spl0_19 ),
    inference(resolution,[],[f527,f18]) ).

fof(f18,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_4_is_not_e_1) ).

fof(f527,plain,
    ( equalish(e_4,e_1)
    | ~ spl0_19 ),
    inference(resolution,[],[f227,f35]) ).

fof(f227,plain,
    ( product(e_1,e_4,e_1)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f520,plain,
    ( ~ spl0_24
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f518,f221,f247]) ).

fof(f518,plain,
    ( ~ product(e_2,e_4,e_3)
    | ~ spl0_18 ),
    inference(resolution,[],[f460,f15]) ).

fof(f460,plain,
    ( ! [X0] :
        ( equalish(X0,e_1)
        | ~ product(e_2,e_4,X0) )
    | ~ spl0_18 ),
    inference(resolution,[],[f223,f22]) ).

fof(f473,plain,
    ~ spl0_21,
    inference(avatar_contradiction_clause,[],[f472]) ).

fof(f472,plain,
    ( $false
    | ~ spl0_21 ),
    inference(resolution,[],[f470,f19]) ).

fof(f19,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_4_is_not_e_2) ).

fof(f470,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_21 ),
    inference(resolution,[],[f236,f35]) ).

fof(f236,plain,
    ( product(e_2,e_4,e_2)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_21
  <=> product(e_2,e_4,e_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f445,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f444]) ).

fof(f444,plain,
    ( $false
    | ~ spl0_10 ),
    inference(resolution,[],[f442,f19]) ).

fof(f442,plain,
    ( equalish(e_4,e_2)
    | ~ spl0_10 ),
    inference(resolution,[],[f185,f33]) ).

fof(f185,plain,
    ( product(e_2,e_2,e_4)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl0_10
  <=> product(e_2,e_2,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f429,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f428]) ).

fof(f428,plain,
    ( $false
    | ~ spl0_7 ),
    inference(resolution,[],[f426,f18]) ).

fof(f426,plain,
    ( equalish(e_4,e_1)
    | ~ spl0_7 ),
    inference(resolution,[],[f172,f33]) ).

fof(f172,plain,
    ( product(e_1,e_1,e_4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl0_7
  <=> product(e_1,e_1,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f419,plain,
    ( ~ spl0_30
    | spl0_33
    | spl0_32
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f313,f54,f411,f416,f403]) ).

fof(f313,plain,
    ( ~ group_element(e_4)
    | equalish(e_2,e_4)
    | equalish(e_1,e_4)
    | ~ product(e_4,e_4,e_3) ),
    inference(resolution,[],[f310,f17]) ).

fof(f17,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',e_3_is_not_e_4) ).

fof(f310,plain,
    ! [X0] :
      ( equalish(e_3,X0)
      | ~ group_element(X0)
      | equalish(e_2,X0)
      | equalish(e_1,X0)
      | ~ product(X0,e_4,e_3) ),
    inference(factoring,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( equalish(e_3,X0)
      | ~ group_element(X0)
      | equalish(e_2,X0)
      | equalish(e_1,X0)
      | equalish(X1,X0)
      | ~ product(X0,e_4,X1) ),
    inference(resolution,[],[f103,f22]) ).

fof(f103,plain,
    ! [X0] :
      ( product(X0,e_4,X0)
      | ~ group_element(X0)
      | equalish(e_3,X0)
      | equalish(e_2,X0)
      | equalish(e_1,X0) ),
    inference(resolution,[],[f91,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f24,f25]) ).

fof(f24,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ product(X5,X1,X0)
      | equalish(X4,X5)
      | ~ product(X4,X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',product_left_cancellation) ).

fof(f91,plain,
    ! [X0] :
      ( product(e_1,X0,X0)
      | ~ group_element(X0)
      | product(X0,e_4,X0)
      | equalish(e_3,X0)
      | equalish(e_2,X0) ),
    inference(resolution,[],[f79,f37]) ).

fof(f79,plain,
    ! [X0] :
      ( product(e_2,X0,X0)
      | product(e_1,X0,X0)
      | ~ group_element(X0)
      | product(X0,e_4,X0)
      | equalish(e_3,X0) ),
    inference(resolution,[],[f51,f37]) ).

fof(f51,plain,
    ! [X0] :
      ( product(e_3,X0,X0)
      | product(e_2,X0,X0)
      | product(e_1,X0,X0)
      | ~ group_element(X0)
      | product(X0,e_4,X0) ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( product(e_3,X0,X0)
      | product(e_2,X0,X0)
      | product(e_1,X0,X0)
      | ~ group_element(X0)
      | ~ group_element(X0)
      | product(X0,e_4,X0) ),
    inference(resolution,[],[f1,f28]) ).

fof(f401,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f400]) ).

fof(f400,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f56,f8]) ).

fof(f8,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',element_4) ).

fof(f56,plain,
    ( ~ group_element(e_4)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f335,plain,
    spl0_27,
    inference(avatar_contradiction_clause,[],[f334]) ).

fof(f334,plain,
    ( $false
    | spl0_27 ),
    inference(resolution,[],[f329,f7]) ).

fof(f7,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',element_3) ).

fof(f329,plain,
    ( ~ group_element(e_3)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f290,plain,
    ~ spl0_17,
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f289,plain,
    ( $false
    | ~ spl0_17 ),
    inference(resolution,[],[f287,f17]) ).

fof(f287,plain,
    ( equalish(e_3,e_4)
    | ~ spl0_17 ),
    inference(resolution,[],[f214,f37]) ).

fof(f214,plain,
    ( product(e_3,e_4,e_4)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f212,plain,
    ( spl0_17
  <=> product(e_3,e_4,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f279,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f278]) ).

fof(f278,plain,
    ( $false
    | ~ spl0_13 ),
    inference(resolution,[],[f276,f14]) ).

fof(f276,plain,
    ( equalish(e_2,e_4)
    | ~ spl0_13 ),
    inference(resolution,[],[f197,f37]) ).

fof(f197,plain,
    ( product(e_2,e_4,e_4)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f195,plain,
    ( spl0_13
  <=> product(e_2,e_4,e_4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f268,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f267]) ).

fof(f267,plain,
    ( $false
    | ~ spl0_9 ),
    inference(resolution,[],[f265,f11]) ).

fof(f265,plain,
    ( equalish(e_1,e_4)
    | ~ spl0_9 ),
    inference(resolution,[],[f180,f37]) ).

fof(f180,plain,
    ( product(e_1,e_4,e_4)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f245,plain,
    ( spl0_21
    | spl0_22
    | spl0_23
    | spl0_13
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f217,f70,f195,f242,f238,f234]) ).

fof(f70,plain,
    ( spl0_5
  <=> ! [X0] :
        ( product(e_3,e_4,X0)
        | product(X0,e_4,e_4)
        | ~ group_element(X0)
        | product(e_1,e_4,X0)
        | product(e_2,e_4,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f217,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)
    | ~ spl0_5 ),
    inference(resolution,[],[f71,f6]) ).

fof(f71,plain,
    ( ! [X0] :
        ( ~ group_element(X0)
        | product(X0,e_4,e_4)
        | product(e_3,e_4,X0)
        | product(e_1,e_4,X0)
        | product(e_2,e_4,X0) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f232,plain,
    ( spl0_18
    | spl0_19
    | spl0_20
    | spl0_9
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f216,f70,f178,f229,f225,f221]) ).

fof(f216,plain,
    ( product(e_1,e_4,e_4)
    | product(e_3,e_4,e_1)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | ~ spl0_5 ),
    inference(resolution,[],[f71,f5]) ).

fof(f215,plain,
    ( spl0_14
    | spl0_15
    | spl0_16
    | spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f163,f62,f212,f208,f204,f200]) ).

fof(f62,plain,
    ( spl0_3
  <=> ! [X0] :
        ( product(e_3,X0,e_4)
        | product(X0,e_4,e_4)
        | ~ group_element(X0)
        | product(e_1,X0,e_4)
        | product(e_2,X0,e_4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f163,plain,
    ( product(e_3,e_4,e_4)
    | product(e_3,e_3,e_4)
    | product(e_1,e_3,e_4)
    | product(e_2,e_3,e_4)
    | ~ spl0_3 ),
    inference(resolution,[],[f63,f7]) ).

fof(f63,plain,
    ( ! [X0] :
        ( ~ group_element(X0)
        | product(X0,e_4,e_4)
        | product(e_3,X0,e_4)
        | product(e_1,X0,e_4)
        | product(e_2,X0,e_4) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f198,plain,
    ( spl0_10
    | spl0_11
    | spl0_12
    | spl0_13
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f162,f62,f195,f191,f187,f183]) ).

fof(f162,plain,
    ( product(e_2,e_4,e_4)
    | product(e_3,e_2,e_4)
    | product(e_1,e_2,e_4)
    | product(e_2,e_2,e_4)
    | ~ spl0_3 ),
    inference(resolution,[],[f63,f6]) ).

fof(f181,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f161,f62,f178,f174,f170,f166]) ).

fof(f161,plain,
    ( product(e_1,e_4,e_4)
    | product(e_3,e_1,e_4)
    | product(e_1,e_1,e_4)
    | product(e_2,e_1,e_4)
    | ~ spl0_3 ),
    inference(resolution,[],[f63,f5]) ).

fof(f72,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f50,f70,f54]) ).

fof(f50,plain,
    ! [X0] :
      ( product(e_3,e_4,X0)
      | product(e_2,e_4,X0)
      | product(e_1,e_4,X0)
      | ~ group_element(X0)
      | ~ group_element(e_4)
      | product(X0,e_4,e_4) ),
    inference(resolution,[],[f1,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ product(X1,X1,X0)
      | product(X0,X1,X1) ),
    inference(resolution,[],[f25,f26]) ).

fof(f64,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f48,f62,f54]) ).

fof(f48,plain,
    ! [X0] :
      ( product(e_3,X0,e_4)
      | product(e_2,X0,e_4)
      | product(e_1,X0,e_4)
      | ~ group_element(e_4)
      | ~ group_element(X0)
      | product(X0,e_4,e_4) ),
    inference(resolution,[],[f1,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,X0)
      | product(X1,X0,X0) ),
    inference(resolution,[],[f25,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X2,X3,X1)
      | ~ product(X1,X0,X3)
      | product(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437',qg4_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP126-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 18:55:48 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.yO3IMUhtZv/Vampire---4.8_14437
% 0.58/0.74  % (14648)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 Vampire---4 for (2996ds/34Mi)
% 0.58/0.74  % (14655)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.74  % (14648)Refutation not found, incomplete strategy% (14648)------------------------------
% 0.58/0.74  % (14648)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74  % (14648)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (14648)Memory used [KB]: 963
% 0.58/0.74  % (14648)Time elapsed: 0.002 s
% 0.58/0.74  % (14648)Instructions burned: 2 (million)
% 0.58/0.74  % (14648)------------------------------
% 0.58/0.74  % (14648)------------------------------
% 0.58/0.74  % (14655)Refutation not found, incomplete strategy% (14655)------------------------------
% 0.58/0.74  % (14655)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74  % (14655)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (14655)Memory used [KB]: 963
% 0.58/0.74  % (14655)Time elapsed: 0.001 s
% 0.58/0.74  % (14655)Instructions burned: 2 (million)
% 0.58/0.74  % (14655)------------------------------
% 0.58/0.74  % (14655)------------------------------
% 0.58/0.74  % (14650)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74  % (14649)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 Vampire---4 for (2996ds/51Mi)
% 0.58/0.74  % (14653)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.74  % (14651)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.74  % (14652)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 Vampire---4 for (2996ds/34Mi)
% 0.58/0.74  % (14654)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 Vampire---4 for (2996ds/83Mi)
% 0.58/0.74  % (14650)Refutation not found, incomplete strategy% (14650)------------------------------
% 0.58/0.74  % (14650)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74  % (14650)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (14650)Memory used [KB]: 966
% 0.58/0.74  % (14653)Refutation not found, incomplete strategy% (14653)------------------------------
% 0.58/0.74  % (14653)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74  % (14650)Time elapsed: 0.002 s
% 0.58/0.74  % (14653)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (14650)Instructions burned: 2 (million)
% 0.58/0.74  % (14650)------------------------------
% 0.58/0.74  % (14650)------------------------------
% 0.58/0.74  % (14653)Memory used [KB]: 963
% 0.58/0.74  % (14653)Time elapsed: 0.002 s
% 0.58/0.74  % (14653)Instructions burned: 2 (million)
% 0.58/0.74  % (14653)------------------------------
% 0.58/0.74  % (14653)------------------------------
% 0.58/0.74  % (14651)Refutation not found, incomplete strategy% (14651)------------------------------
% 0.58/0.74  % (14651)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74  % (14651)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (14651)Memory used [KB]: 967
% 0.58/0.74  % (14651)Time elapsed: 0.002 s
% 0.58/0.74  % (14651)Instructions burned: 2 (million)
% 0.58/0.74  % (14651)------------------------------
% 0.58/0.74  % (14651)------------------------------
% 0.58/0.74  % (14659)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 Vampire---4 for (2996ds/50Mi)
% 0.58/0.74  % (14662)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 Vampire---4 for (2996ds/52Mi)
% 0.58/0.74  % (14658)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 Vampire---4 for (2996ds/55Mi)
% 0.58/0.74  % (14661)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.74  % (14663)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 Vampire---4 for (2996ds/518Mi)
% 0.58/0.74  % (14661)Refutation not found, incomplete strategy% (14661)------------------------------
% 0.58/0.74  % (14661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74  % (14661)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (14661)Memory used [KB]: 967
% 0.58/0.74  % (14661)Time elapsed: 0.003 s
% 0.58/0.74  % (14661)Instructions burned: 2 (million)
% 0.58/0.74  % (14661)------------------------------
% 0.58/0.74  % (14661)------------------------------
% 0.58/0.75  % (14658)Refutation not found, incomplete strategy% (14658)------------------------------
% 0.58/0.75  % (14658)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (14658)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (14658)Memory used [KB]: 1042
% 0.58/0.75  % (14658)Time elapsed: 0.006 s
% 0.58/0.75  % (14658)Instructions burned: 7 (million)
% 0.58/0.75  % (14658)------------------------------
% 0.58/0.75  % (14658)------------------------------
% 0.58/0.75  % (14652)Instruction limit reached!
% 0.58/0.75  % (14652)------------------------------
% 0.58/0.75  % (14652)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (14669)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 Vampire---4 for (2996ds/42Mi)
% 0.58/0.75  % (14652)Termination reason: Unknown
% 0.58/0.75  % (14652)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (14652)Memory used [KB]: 1165
% 0.58/0.75  % (14652)Time elapsed: 0.018 s
% 0.58/0.75  % (14652)Instructions burned: 34 (million)
% 0.58/0.75  % (14652)------------------------------
% 0.58/0.75  % (14652)------------------------------
% 0.58/0.75  % (14670)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 Vampire---4 for (2996ds/243Mi)
% 0.63/0.76  % (14659)Instruction limit reached!
% 0.63/0.76  % (14659)------------------------------
% 0.63/0.76  % (14659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76  % (14659)Termination reason: Unknown
% 0.63/0.76  % (14659)Termination phase: Saturation
% 0.63/0.76  
% 0.63/0.76  % (14659)Memory used [KB]: 1246
% 0.63/0.76  % (14659)Time elapsed: 0.015 s
% 0.63/0.76  % (14659)Instructions burned: 53 (million)
% 0.63/0.76  % (14659)------------------------------
% 0.63/0.76  % (14659)------------------------------
% 0.63/0.76  % (14662)Instruction limit reached!
% 0.63/0.76  % (14662)------------------------------
% 0.63/0.76  % (14662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76  % (14662)Termination reason: Unknown
% 0.63/0.76  % (14662)Termination phase: Saturation
% 0.63/0.76  
% 0.63/0.76  % (14662)Memory used [KB]: 1156
% 0.63/0.76  % (14662)Time elapsed: 0.015 s
% 0.63/0.76  % (14662)Instructions burned: 55 (million)
% 0.63/0.76  % (14662)------------------------------
% 0.63/0.76  % (14662)------------------------------
% 0.63/0.76  % (14675)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.63/0.76  % (14676)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.63/0.76  % (14673)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.63/0.76  % (14649)First to succeed.
% 0.63/0.76  % (14649)Refutation found. Thanks to Tanya!
% 0.63/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.77  % (14649)------------------------------
% 0.63/0.77  % (14649)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77  % (14649)Termination reason: Refutation
% 0.63/0.77  
% 0.63/0.77  % (14649)Memory used [KB]: 1234
% 0.63/0.77  % (14649)Time elapsed: 0.026 s
% 0.63/0.77  % (14649)Instructions burned: 43 (million)
% 0.63/0.77  % (14649)------------------------------
% 0.63/0.77  % (14649)------------------------------
% 0.63/0.77  % (14620)Success in time 0.388 s
% 0.63/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------