TSTP Solution File: ITP098^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP098^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 : Sun May  5 06:49:50 EDT 2024

% Result   : Theorem 0.18s 0.42s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  132
% Syntax   : Number of formulae    :  148 (  12 unt; 128 typ;   0 def)
%            Number of atoms       :   49 (  30 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  147 (  12   ~;   9   |;   0   &; 120   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :   11 (  10 usr)
%            Number of type conns  :  372 ( 372   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  111 ( 108 usr;  10 con; 0-4 aty)
%            Number of variables   :   19 (   0   ^  18   !;   0   ?;  19   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    a: $tType ).

thf(type_def_7,type,
    c: $tType ).

thf(type_def_8,type,
    b: $tType ).

thf(type_def_9,type,
    set_a_a: $tType ).

thf(type_def_10,type,
    set_a_b: $tType ).

thf(type_def_11,type,
    set_a_c: $tType ).

thf(type_def_12,type,
    set_c_a: $tType ).

thf(type_def_13,type,
    set_a: $tType ).

thf(type_def_14,type,
    set_b: $tType ).

thf(type_def_15,type,
    set_c: $tType ).

thf(func_def_0,type,
    set_c_a: $tType ).

thf(func_def_1,type,
    set_a_c: $tType ).

thf(func_def_2,type,
    set_a_b: $tType ).

thf(func_def_3,type,
    set_a_a: $tType ).

thf(func_def_4,type,
    set_c: $tType ).

thf(func_def_5,type,
    set_b: $tType ).

thf(func_def_6,type,
    set_a: $tType ).

thf(func_def_7,type,
    c: $tType ).

thf(func_def_8,type,
    b: $tType ).

thf(func_def_9,type,
    a: $tType ).

thf(func_def_10,type,
    comp_a_a_a: ( a > a ) > ( a > a ) > a > a ).

thf(func_def_11,type,
    comp_a_a_c: ( a > a ) > ( c > a ) > c > a ).

thf(func_def_12,type,
    comp_a_b_a: ( a > b ) > ( a > a ) > a > b ).

thf(func_def_13,type,
    comp_a_b_b: ( a > b ) > ( b > a ) > b > b ).

thf(func_def_14,type,
    comp_a_b_c: ( a > b ) > ( c > a ) > c > b ).

thf(func_def_15,type,
    comp_a_c_a: ( a > c ) > ( a > a ) > a > c ).

thf(func_def_16,type,
    comp_a_c_c: ( a > c ) > ( c > a ) > c > c ).

thf(func_def_17,type,
    comp_b_a_a: ( b > a ) > ( a > b ) > a > a ).

thf(func_def_18,type,
    comp_b_a_c: ( b > a ) > ( c > b ) > c > a ).

thf(func_def_19,type,
    comp_b_b_a: ( b > b ) > ( a > b ) > a > b ).

thf(func_def_20,type,
    comp_b_b_b: ( b > b ) > ( b > b ) > b > b ).

thf(func_def_21,type,
    comp_b_b_c: ( b > b ) > ( c > b ) > c > b ).

thf(func_def_22,type,
    comp_b_c_a: ( b > c ) > ( a > b ) > a > c ).

thf(func_def_23,type,
    comp_b_c_c: ( b > c ) > ( c > b ) > c > c ).

thf(func_def_24,type,
    comp_c_a_a: ( c > a ) > ( a > c ) > a > a ).

thf(func_def_25,type,
    comp_c_a_b: ( c > a ) > ( b > c ) > b > a ).

thf(func_def_26,type,
    comp_c_a_c: ( c > a ) > ( c > c ) > c > a ).

thf(func_def_27,type,
    comp_c_b_a: ( c > b ) > ( a > c ) > a > b ).

thf(func_def_28,type,
    comp_c_b_b: ( c > b ) > ( b > c ) > b > b ).

thf(func_def_29,type,
    comp_c_b_c: ( c > b ) > ( c > c ) > c > b ).

thf(func_def_30,type,
    comp_c_c_a: ( c > c ) > ( a > c ) > a > c ).

thf(func_def_31,type,
    comp_c_c_c: ( c > c ) > ( c > c ) > c > c ).

thf(func_def_32,type,
    inj_on_a_a_a_b: ( ( a > a ) > a > b ) > set_a_a > $o ).

thf(func_def_33,type,
    inj_on_a_b_a_b: ( ( a > b ) > a > b ) > set_a_b > $o ).

thf(func_def_34,type,
    inj_on_a_c_a_b: ( ( a > c ) > a > b ) > set_a_c > $o ).

thf(func_def_35,type,
    inj_on_c_a_c_a: ( ( c > a ) > c > a ) > set_c_a > $o ).

thf(func_def_36,type,
    inj_on_c_a_c_b: ( ( c > a ) > c > b ) > set_c_a > $o ).

thf(func_def_37,type,
    inj_on_c_a_c_c: ( ( c > a ) > c > c ) > set_c_a > $o ).

thf(func_def_38,type,
    inj_on_c_a_a: ( ( c > a ) > a ) > set_c_a > $o ).

thf(func_def_39,type,
    inj_on_a_a: ( a > a ) > set_a > $o ).

thf(func_def_40,type,
    inj_on_a_b: ( a > b ) > set_a > $o ).

thf(func_def_41,type,
    inj_on_a_c: ( a > c ) > set_a > $o ).

thf(func_def_42,type,
    inj_on_b_a: ( b > a ) > set_b > $o ).

thf(func_def_43,type,
    inj_on_b_b: ( b > b ) > set_b > $o ).

thf(func_def_44,type,
    inj_on_b_c: ( b > c ) > set_b > $o ).

thf(func_def_45,type,
    inj_on_c_a: ( c > a ) > set_c > $o ).

thf(func_def_46,type,
    inj_on_c_b: ( c > b ) > set_c > $o ).

thf(func_def_47,type,
    inj_on_c_c: ( c > c ) > set_c > $o ).

thf(func_def_48,type,
    sup_sup_set_c_a: set_c_a > set_c_a > set_c_a ).

thf(func_def_49,type,
    sup_sup_set_a: set_a > set_a > set_a ).

thf(func_def_50,type,
    sup_sup_set_b: set_b > set_b > set_b ).

thf(func_def_51,type,
    sup_sup_set_c: set_c > set_c > set_c ).

thf(func_def_52,type,
    top_top_set_a_a: set_a_a ).

thf(func_def_53,type,
    top_top_set_a_b: set_a_b ).

thf(func_def_54,type,
    top_top_set_a_c: set_a_c ).

thf(func_def_55,type,
    top_top_set_c_a: set_c_a ).

thf(func_def_56,type,
    top_top_set_a: set_a ).

thf(func_def_57,type,
    top_top_set_b: set_b ).

thf(func_def_58,type,
    top_top_set_c: set_c ).

thf(func_def_59,type,
    collect_a: ( a > $o ) > set_a ).

thf(func_def_60,type,
    image_c_a_a: ( ( c > a ) > a ) > set_c_a > set_a ).

thf(func_def_61,type,
    image_a_a: ( a > a ) > set_a > set_a ).

thf(func_def_62,type,
    image_a_b: ( a > b ) > set_a > set_b ).

thf(func_def_63,type,
    image_a_c: ( a > c ) > set_a > set_c ).

thf(func_def_64,type,
    image_b_a: ( b > a ) > set_b > set_a ).

thf(func_def_65,type,
    image_b_b: ( b > b ) > set_b > set_b ).

thf(func_def_66,type,
    image_b_c: ( b > c ) > set_b > set_c ).

thf(func_def_67,type,
    image_c_c_a: ( c > c > a ) > set_c > set_c_a ).

thf(func_def_68,type,
    image_c_a: ( c > a ) > set_c > set_a ).

thf(func_def_69,type,
    image_c_b: ( c > b ) > set_c > set_b ).

thf(func_def_70,type,
    image_c_c: ( c > c ) > set_c > set_c ).

thf(func_def_71,type,
    member_c_a: ( c > a ) > set_c_a > $o ).

thf(func_def_72,type,
    member_a: a > set_a > $o ).

thf(func_def_73,type,
    member_b: b > set_b > $o ).

thf(func_def_74,type,
    member_c: c > set_c > $o ).

thf(func_def_75,type,
    f: a > b ).

thf(func_def_76,type,
    g: c > a ).

thf(func_def_77,type,
    h: c > a ).

thf(func_def_89,type,
    sK0: ( a > b ) > a ).

thf(func_def_90,type,
    sK1: ( a > b ) > a ).

thf(func_def_91,type,
    sK2: ( a > b ) > set_a > ( b > a ) > a ).

thf(func_def_92,type,
    sK3: set_a > ( a > b ) > ( a > b ) > a ).

thf(func_def_93,type,
    sK4: ( c > a ) > a > c ).

thf(func_def_94,type,
    sK5: ( c > a ) > c ).

thf(func_def_95,type,
    sK6: ( c > a ) > c ).

thf(func_def_96,type,
    sK7: a > ( c > a ) > c ).

thf(func_def_97,type,
    sK8: ( c > a ) > a ).

thf(func_def_98,type,
    sK9: ( a > b ) > set_a > a ).

thf(func_def_99,type,
    sK10: ( a > b ) > set_a > a ).

thf(func_def_100,type,
    sK11: ( c > b ) > c ).

thf(func_def_101,type,
    sK12: ( c > b ) > c ).

thf(func_def_102,type,
    sK13: ( c > a ) > ( a > b ) > ( a > b ) > a ).

thf(func_def_103,type,
    sK14: ( a > c ) > ( c > a ) > a ).

thf(func_def_104,type,
    sK15: b > ( a > b ) > a ).

thf(func_def_105,type,
    sK16: ( b > a ) > ( a > b ) > b ).

thf(func_def_106,type,
    sK17: c > a > ( c > a ) > c ).

thf(func_def_107,type,
    sK18: a > ( c > a ) > c ).

thf(func_def_108,type,
    sK19: ( c > b ) > b ).

thf(func_def_109,type,
    sK20: b > ( c > b ) > c ).

thf(func_def_110,type,
    sK21: a > ( c > a ) > c ).

thf(func_def_111,type,
    sK22: ( c > a ) > ( a > b ) > ( a > b ) > a ).

thf(func_def_112,type,
    sK23: ( c > b ) > ( b > c ) > b ).

thf(func_def_113,type,
    sK24: ( c > a ) > ( a > b ) > ( a > b ) > a ).

thf(func_def_114,type,
    sK25: ( c > b ) > b > c ).

thf(func_def_115,type,
    sK26: ( a > b ) > a ).

thf(func_def_116,type,
    sK27: ( a > b ) > a ).

thf(func_def_117,type,
    sK28: ( c > b ) > b > c ).

thf(func_def_118,type,
    sK29: ( c > a ) > c ).

thf(func_def_119,type,
    sK30: ( c > a ) > c ).

thf(func_def_120,type,
    sK31: ( a > b ) > b > a ).

thf(func_def_121,type,
    sK32: ( c > b ) > c ).

thf(func_def_122,type,
    sK33: ( c > b ) > c ).

thf(func_def_123,type,
    sK34: ( a > b ) > ( c > a ) > ( a > b ) > ( c > a ) > a ).

thf(func_def_124,type,
    sK35: ( a > b ) > ( c > a ) > ( a > b ) > ( c > a ) > a ).

thf(func_def_125,type,
    sK36: b > ( a > b ) > a ).

thf(func_def_126,type,
    sK37: ( a > b ) > b ).

thf(func_def_128,type,
    ph39: 
      !>[X0: $tType] : X0 ).

thf(func_def_129,type,
    sK40: c ).

thf(f1163,plain,
    $false,
    inference(subsumption_resolution,[],[f1162,f978]) ).

thf(f978,plain,
    g != h,
    inference(cnf_transformation,[],[f787]) ).

thf(f787,plain,
    g != h,
    inference(flattening,[],[f357]) ).

thf(f357,negated_conjecture,
    g != h,
    inference(negated_conjecture,[],[f356]) ).

thf(f356,conjecture,
    g = h,
    file('/export/starexec/sandbox2/tmp/tmp.BGaZmAFSNy/Vampire---4.8_30878',conj_2) ).

thf(f1162,plain,
    g = h,
    inference(subsumption_resolution,[],[f1150,f1031]) ).

thf(f1031,plain,
    ( ( comp_a_b_c @ f @ g )
    = ( comp_a_b_c @ f @ h ) ),
    inference(cnf_transformation,[],[f355]) ).

thf(f355,axiom,
    ( ( comp_a_b_c @ f @ g )
    = ( comp_a_b_c @ f @ h ) ),
    file('/export/starexec/sandbox2/tmp/tmp.BGaZmAFSNy/Vampire---4.8_30878',conj_1) ).

thf(f1150,plain,
    ( ( ( comp_a_b_c @ f @ g )
     != ( comp_a_b_c @ f @ h ) )
    | ( g = h ) ),
    inference(trivial_inequality_removal,[],[f1142]) ).

thf(f1142,plain,
    ( ( $true != $true )
    | ( g = h )
    | ( ( comp_a_b_c @ f @ g )
     != ( comp_a_b_c @ f @ h ) ) ),
    inference(superposition,[],[f1034,f961]) ).

thf(f961,plain,
    ( ( inj_on_a_b @ f @ ( sup_sup_set_a @ ( image_c_a @ g @ top_top_set_c ) @ ( image_c_a @ h @ top_top_set_c ) ) )
    = $true ),
    inference(cnf_transformation,[],[f446]) ).

thf(f446,plain,
    ( ( inj_on_a_b @ f @ ( sup_sup_set_a @ ( image_c_a @ g @ top_top_set_c ) @ ( image_c_a @ h @ top_top_set_c ) ) )
    = $true ),
    inference(fool_elimination,[],[f445]) ).

thf(f445,plain,
    inj_on_a_b @ f @ ( sup_sup_set_a @ ( image_c_a @ g @ top_top_set_c ) @ ( image_c_a @ h @ top_top_set_c ) ),
    inference(rectify,[],[f354]) ).

thf(f354,axiom,
    inj_on_a_b @ f @ ( sup_sup_set_a @ ( image_c_a @ g @ top_top_set_c ) @ ( image_c_a @ h @ top_top_set_c ) ),
    file('/export/starexec/sandbox2/tmp/tmp.BGaZmAFSNy/Vampire---4.8_30878',conj_0) ).

thf(f1034,plain,
    ! [X2: c > a,X0: a > b,X1: c > a] :
      ( ( $true
       != ( inj_on_a_b @ X0 @ ( sup_sup_set_a @ ( image_c_a @ X2 @ top_top_set_c ) @ ( image_c_a @ X1 @ top_top_set_c ) ) ) )
      | ( ( comp_a_b_c @ X0 @ X2 )
       != ( comp_a_b_c @ X0 @ X1 ) )
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f869]) ).

thf(f869,plain,
    ! [X0: a > b,X1: c > a,X2: c > a] :
      ( ( ( comp_a_b_c @ X0 @ X2 )
       != ( comp_a_b_c @ X0 @ X1 ) )
      | ( X1 = X2 )
      | ( $true
       != ( inj_on_a_b @ X0 @ ( sup_sup_set_a @ ( image_c_a @ X2 @ top_top_set_c ) @ ( image_c_a @ X1 @ top_top_set_c ) ) ) ) ),
    inference(flattening,[],[f868]) ).

thf(f868,plain,
    ! [X0: a > b,X1: c > a,X2: c > a] :
      ( ( X1 = X2 )
      | ( $true
       != ( inj_on_a_b @ X0 @ ( sup_sup_set_a @ ( image_c_a @ X2 @ top_top_set_c ) @ ( image_c_a @ X1 @ top_top_set_c ) ) ) )
      | ( ( comp_a_b_c @ X0 @ X2 )
       != ( comp_a_b_c @ X0 @ X1 ) ) ),
    inference(ennf_transformation,[],[f704]) ).

thf(f704,plain,
    ! [X0: a > b,X1: c > a,X2: c > a] :
      ( ( ( comp_a_b_c @ X0 @ X2 )
        = ( comp_a_b_c @ X0 @ X1 ) )
     => ( ( $true
          = ( inj_on_a_b @ X0 @ ( sup_sup_set_a @ ( image_c_a @ X2 @ top_top_set_c ) @ ( image_c_a @ X1 @ top_top_set_c ) ) ) )
       => ( X1 = X2 ) ) ),
    inference(fool_elimination,[],[f703]) ).

thf(f703,plain,
    ! [X0: a > b,X1: c > a,X2: c > a] :
      ( ( ( comp_a_b_c @ X0 @ X2 )
        = ( comp_a_b_c @ X0 @ X1 ) )
     => ( ( inj_on_a_b @ X0 @ ( sup_sup_set_a @ ( image_c_a @ X2 @ top_top_set_c ) @ ( image_c_a @ X1 @ top_top_set_c ) ) )
       => ( X1 = X2 ) ) ),
    inference(rectify,[],[f9]) ).

thf(f9,axiom,
    ! [X1: a > b,X0: c > a,X2: c > a] :
      ( ( ( comp_a_b_c @ X1 @ X0 )
        = ( comp_a_b_c @ X1 @ X2 ) )
     => ( ( inj_on_a_b @ X1 @ ( sup_sup_set_a @ ( image_c_a @ X2 @ top_top_set_c ) @ ( image_c_a @ X0 @ top_top_set_c ) ) )
       => ( X0 = X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.BGaZmAFSNy/Vampire---4.8_30878',fact_8_o__inj__on) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : ITP098^1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.13  % 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
% 0.12/0.33  % Computer : n017.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   : Fri May  3 19:17:38 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a TH0_THM_EQU_NAR problem
% 0.12/0.34  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.BGaZmAFSNy/Vampire---4.8_30878
% 0.12/0.38  % (30988)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.12/0.38  % (30992)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.12/0.38  % (30987)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.12/0.38  % (30993)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.12/0.38  % (30990)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.12/0.38  % (30991)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.12/0.38  % (30994)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.12/0.38  % (30988)Instruction limit reached!
% 0.12/0.38  % (30988)------------------------------
% 0.12/0.38  % (30988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (30988)Termination reason: Unknown
% 0.12/0.38  % (30988)Termination phase: shuffling
% 0.12/0.38  
% 0.12/0.38  % (30988)Memory used [KB]: 1407
% 0.12/0.38  % (30988)Time elapsed: 0.004 s
% 0.12/0.38  % (30988)Instructions burned: 4 (million)
% 0.12/0.38  % (30988)------------------------------
% 0.12/0.38  % (30988)------------------------------
% 0.12/0.38  % (30990)Instruction limit reached!
% 0.12/0.38  % (30990)------------------------------
% 0.12/0.38  % (30990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (30990)Termination reason: Unknown
% 0.12/0.38  % (30990)Termination phase: shuffling
% 0.12/0.38  
% 0.12/0.38  % (30990)Memory used [KB]: 1407
% 0.12/0.38  % (30990)Time elapsed: 0.003 s
% 0.12/0.38  % (30990)Instructions burned: 3 (million)
% 0.12/0.38  % (30991)Instruction limit reached!
% 0.12/0.38  % (30991)------------------------------
% 0.12/0.38  % (30991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (30990)------------------------------
% 0.12/0.38  % (30990)------------------------------
% 0.12/0.38  % (30991)Termination reason: Unknown
% 0.12/0.38  % (30991)Termination phase: shuffling
% 0.12/0.38  
% 0.12/0.38  % (30991)Memory used [KB]: 1407
% 0.12/0.38  % (30991)Time elapsed: 0.003 s
% 0.12/0.38  % (30991)Instructions burned: 3 (million)
% 0.12/0.38  % (30991)------------------------------
% 0.12/0.38  % (30991)------------------------------
% 0.12/0.38  % (30994)Instruction limit reached!
% 0.12/0.38  % (30994)------------------------------
% 0.12/0.38  % (30994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38  % (30994)Termination reason: Unknown
% 0.12/0.38  % (30994)Termination phase: shuffling
% 0.12/0.38  
% 0.12/0.38  % (30994)Memory used [KB]: 1407
% 0.12/0.38  % (30994)Time elapsed: 0.003 s
% 0.12/0.38  % (30994)Instructions burned: 3 (million)
% 0.12/0.38  % (30994)------------------------------
% 0.12/0.38  % (30994)------------------------------
% 0.12/0.38  % (30989)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.12/0.39  % (30993)Instruction limit reached!
% 0.12/0.39  % (30993)------------------------------
% 0.12/0.39  % (30993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39  % (30993)Termination reason: Unknown
% 0.12/0.39  % (30993)Termination phase: shuffling
% 0.12/0.39  
% 0.12/0.39  % (30993)Memory used [KB]: 1791
% 0.12/0.39  % (30993)Time elapsed: 0.012 s
% 0.12/0.39  % (30993)Instructions burned: 19 (million)
% 0.12/0.39  % (30993)------------------------------
% 0.12/0.39  % (30993)------------------------------
% 0.12/0.39  % (30995)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.12/0.39  % (30996)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.12/0.39  % (30998)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.12/0.39  % (30997)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.12/0.39  % (30989)Instruction limit reached!
% 0.12/0.39  % (30989)------------------------------
% 0.12/0.39  % (30989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39  % (30989)Termination reason: Unknown
% 0.12/0.39  % (30989)Termination phase: Property scanning
% 0.12/0.39  
% 0.12/0.39  % (30989)Memory used [KB]: 1791
% 0.12/0.39  % (30989)Time elapsed: 0.013 s
% 0.12/0.39  % (30989)Instructions burned: 28 (million)
% 0.12/0.39  % (30989)------------------------------
% 0.12/0.39  % (30989)------------------------------
% 0.12/0.39  % (30997)Instruction limit reached!
% 0.12/0.39  % (30997)------------------------------
% 0.12/0.39  % (30997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39  % (30997)Termination reason: Unknown
% 0.12/0.39  % (30997)Termination phase: shuffling
% 0.12/0.39  
% 0.12/0.39  % (30997)Memory used [KB]: 1407
% 0.12/0.39  % (30997)Time elapsed: 0.003 s
% 0.12/0.39  % (30997)Instructions burned: 3 (million)
% 0.12/0.39  % (30997)------------------------------
% 0.12/0.39  % (30997)------------------------------
% 0.18/0.40  % (30996)Instruction limit reached!
% 0.18/0.40  % (30996)------------------------------
% 0.18/0.40  % (30996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40  % (30996)Termination reason: Unknown
% 0.18/0.40  % (30996)Termination phase: shuffling
% 0.18/0.40  
% 0.18/0.40  % (30996)Memory used [KB]: 1663
% 0.18/0.40  % (30996)Time elapsed: 0.010 s
% 0.18/0.40  % (30996)Instructions burned: 16 (million)
% 0.18/0.40  % (30996)------------------------------
% 0.18/0.40  % (30996)------------------------------
% 0.18/0.40  % (30999)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.18/0.40  % (30999)Instruction limit reached!
% 0.18/0.40  % (30999)------------------------------
% 0.18/0.40  % (30999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40  % (30999)Termination reason: Unknown
% 0.18/0.40  % (30999)Termination phase: shuffling
% 0.18/0.40  
% 0.18/0.40  % (30999)Memory used [KB]: 1535
% 0.18/0.40  % (30999)Time elapsed: 0.004 s
% 0.18/0.40  % (30999)Instructions burned: 7 (million)
% 0.18/0.40  % (30999)------------------------------
% 0.18/0.40  % (30999)------------------------------
% 0.18/0.41  % (31001)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.18/0.41  % (31001)Instruction limit reached!
% 0.18/0.41  % (31001)------------------------------
% 0.18/0.41  % (31001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41  % (31001)Termination reason: Unknown
% 0.18/0.41  % (31001)Termination phase: shuffling
% 0.18/0.41  
% 0.18/0.41  % (31001)Memory used [KB]: 1407
% 0.18/0.41  % (31001)Time elapsed: 0.003 s
% 0.18/0.41  % (31001)Instructions burned: 3 (million)
% 0.18/0.41  % (31001)------------------------------
% 0.18/0.41  % (31001)------------------------------
% 0.18/0.41  % (30995)Instruction limit reached!
% 0.18/0.41  % (30995)------------------------------
% 0.18/0.41  % (30995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41  % (30995)Termination reason: Unknown
% 0.18/0.41  % (30995)Termination phase: shuffling
% 0.18/0.41  
% 0.18/0.41  % (30995)Memory used [KB]: 2174
% 0.18/0.41  % (30995)Time elapsed: 0.019 s
% 0.18/0.41  % (30995)Instructions burned: 38 (million)
% 0.18/0.41  % (30995)------------------------------
% 0.18/0.41  % (30995)------------------------------
% 0.18/0.41  % (31000)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.18/0.41  % (31003)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.18/0.42  % (30992)First to succeed.
% 0.18/0.42  % (31003)Instruction limit reached!
% 0.18/0.42  % (31003)------------------------------
% 0.18/0.42  % (31003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42  % (31003)Termination reason: Unknown
% 0.18/0.42  % (31003)Termination phase: shuffling
% 0.18/0.42  
% 0.18/0.42  % (31003)Memory used [KB]: 1535
% 0.18/0.42  % (31003)Time elapsed: 0.004 s
% 0.18/0.42  % (31003)Instructions burned: 7 (million)
% 0.18/0.42  % (31003)------------------------------
% 0.18/0.42  % (31003)------------------------------
% 0.18/0.42  % (31002)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.18/0.42  % (30992)Refutation found. Thanks to Tanya!
% 0.18/0.42  % SZS status Theorem for Vampire---4
% 0.18/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.42  % (30992)------------------------------
% 0.18/0.42  % (30992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42  % (30992)Termination reason: Refutation
% 0.18/0.42  
% 0.18/0.42  % (30992)Memory used [KB]: 6652
% 0.18/0.42  % (30992)Time elapsed: 0.041 s
% 0.18/0.42  % (30992)Instructions burned: 74 (million)
% 0.18/0.42  % (30992)------------------------------
% 0.18/0.42  % (30992)------------------------------
% 0.18/0.42  % (30986)Success in time 0.071 s
% 0.18/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------