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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP169^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:08:39 AM UTC 2026

% Result   : Theorem 0.67s 0.40s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   33 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  235 ( 135 equ;   0 cnn)
%            Maximal formula atoms :   10 (   7 avg)
%            Number of connectives :  769 (  74   ~;  61   |;  56   &; 575   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   99 (  96 usr;  18 con; 0-4 aty)
%            Number of variables   :   11 (   0   ^;   8   !;   3   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    view_e774982825t_unit: $tType ).

thf(type_def_6,type,
    real_int: $tType ).

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

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

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

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

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

thf(type_def_12,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    one_one_nat: nat ).

thf(func_def_1,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_2,type,
    plus_plus_real: real > real > real ).

thf(func_def_3,type,
    zero_zero_nat: nat ).

thf(func_def_4,type,
    zero_zero_real: real ).

thf(func_def_5,type,
    len: ( cars > traffic > cars > real ) > view_e774982825t_unit > traffic > cars > real_int ).

thf(func_def_6,type,
    move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_7,type,
    nat_card: nat_int > nat ).

thf(func_def_8,type,
    bot_bot_nat_int: nat_int ).

thf(func_def_9,type,
    ord_less_nat_int: nat_int > nat_int > $o ).

thf(func_def_10,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_11,type,
    ord_less_real: real > real > $o ).

thf(func_def_12,type,
    ord_less_eq_nat_int: nat_int > nat_int > $o ).

thf(func_def_13,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_14,type,
    ord_less_eq_real_int: real_int > real_int > $o ).

thf(func_def_15,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_16,type,
    ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).

thf(func_def_17,type,
    real_length: real_int > real ).

thf(func_def_18,type,
    regular_regular: cars > traffic > cars > real ).

thf(func_def_19,type,
    restrict: view_e774982825t_unit > ( cars > nat_int ) > cars > nat_int ).

thf(func_def_20,type,
    abstract: traffic > traffic > $o ).

thf(func_def_21,type,
    clm: traffic > cars > nat_int ).

thf(func_def_22,type,
    create_claim: traffic > cars > nat > traffic > $o ).

thf(func_def_23,type,
    create_reservation: traffic > cars > traffic > $o ).

thf(func_def_24,type,
    res: traffic > cars > nat_int ).

thf(func_def_25,type,
    withdraw_claim: traffic > cars > traffic > $o ).

thf(func_def_26,type,
    withdraw_reservation: traffic > cars > nat > traffic > $o ).

thf(func_def_27,type,
    ext_Product_unit: view_e774982825t_unit > real_int ).

thf(func_def_28,type,
    hchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).

thf(func_def_29,type,
    lan_Product_unit: view_e774982825t_unit > nat_int ).

thf(func_def_30,type,
    own_Product_unit: view_e774982825t_unit > cars ).

thf(func_def_31,type,
    vchop: view_e774982825t_unit > view_e774982825t_unit > view_e774982825t_unit > $o ).

thf(func_def_32,type,
    c: cars ).

thf(func_def_33,type,
    d: cars ).

thf(func_def_34,type,
    e: cars ).

thf(func_def_35,type,
    thesis: $o ).

thf(func_def_36,type,
    ts: traffic ).

thf(func_def_37,type,
    ts2: traffic ).

thf(func_def_38,type,
    ts_a: traffic ).

thf(func_def_39,type,
    ts3: traffic ).

thf(func_def_40,type,
    v: view_e774982825t_unit ).

thf(func_def_44,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_45,type,
    vAND: $o > $o > $o ).

thf(func_def_46,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_47,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_48,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_49,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_50,type,
    vOR: $o > $o > $o ).

thf(func_def_51,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_52,type,
    vIMP: $o > $o > $o ).

thf(func_def_53,type,
    vNOT: $o > $o ).

thf(func_def_54,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_55,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_56,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_57,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_58,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_59,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_60,type,
    db8: 
      !>[X0: $tType] : X0 ).

thf(func_def_61,type,
    sP0: traffic > cars > view_e774982825t_unit > $o ).

thf(func_def_62,type,
    sP1: view_e774982825t_unit > traffic > cars > $o ).

thf(func_def_63,type,
    sK2: cars ).

thf(func_def_64,type,
    sK3: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_65,type,
    sK4: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_66,type,
    sK5: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_67,type,
    sK6: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_68,type,
    sK7: view_e774982825t_unit ).

thf(func_def_69,type,
    sK8: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).

thf(func_def_70,type,
    sK9: view_e774982825t_unit > ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit ).

thf(func_def_71,type,
    sK10: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_72,type,
    sK11: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit ).

thf(func_def_73,type,
    sK12: view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).

thf(func_def_74,type,
    sK13: view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).

thf(func_def_75,type,
    sK14: view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).

thf(func_def_76,type,
    sK15: view_e774982825t_unit > cars > traffic > view_e774982825t_unit ).

thf(func_def_77,type,
    sK16: cars ).

thf(func_def_78,type,
    sK17: traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_79,type,
    sK18: traffic > cars > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_80,type,
    sK19: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_81,type,
    sK20: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_82,type,
    sK21: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_83,type,
    sK22: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_84,type,
    sK23: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_85,type,
    sK24: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_86,type,
    sK25: view_e774982825t_unit > traffic > ( traffic > view_e774982825t_unit > $o ) > traffic ).

thf(func_def_87,type,
    sK26: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).

thf(func_def_88,type,
    sK27: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).

thf(func_def_89,type,
    sK28: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).

thf(func_def_90,type,
    sK29: ( traffic > view_e774982825t_unit > $o ) > view_e774982825t_unit > traffic > view_e774982825t_unit ).

thf(func_def_91,type,
    sK30: view_e774982825t_unit > traffic > cars > view_e774982825t_unit ).

thf(func_def_92,type,
    sK31: view_e774982825t_unit > traffic > cars > view_e774982825t_unit ).

thf(func_def_93,type,
    sK32: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_94,type,
    sK33: view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_95,type,
    sK34: ( traffic > view_e774982825t_unit > $o ) > traffic > view_e774982825t_unit > traffic ).

thf(func_def_96,type,
    sK35: nat > nat > view_e774982825t_unit > view_e774982825t_unit ).

thf(func_def_97,type,
    sK36: nat > nat > view_e774982825t_unit > view_e774982825t_unit ).

thf(f5,axiom,
    ? [X0: view_e774982825t_unit] :
      ( ( ( len @ regular_regular @ X0 @ ts @ e )
        = ( ext_Product_unit @ X0 ) )
      & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
      & ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
      & ( ( restrict @ X0 @ ( res @ ts ) @ e )
        = ( lan_Product_unit @ X0 ) )
      & ( ( restrict @ X0 @ ( res @ ts ) @ c )
        = ( lan_Product_unit @ X0 ) )
      & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
        = one_one_nat )
      & ( ( len @ regular_regular @ X0 @ ts @ c )
        = ( ext_Product_unit @ X0 ) )
      & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
      & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
        = one_one_nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062) ).

thf(f284,axiom,
    ! [X0: view_e774982825t_unit] :
      ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
        & ( ( restrict @ X0 @ ( res @ ts ) @ e )
          = ( lan_Product_unit @ X0 ) )
        & ( ( len @ regular_regular @ X0 @ ts @ c )
          = ( ext_Product_unit @ X0 ) )
        & ( ( restrict @ X0 @ ( res @ ts ) @ c )
          = ( lan_Product_unit @ X0 ) )
        & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
        & ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
        & ( ( len @ regular_regular @ X0 @ ts @ e )
          = ( ext_Product_unit @ X0 ) )
        & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
          = one_one_nat )
        & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
          = one_one_nat ) )
     => thesis ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f285,conjecture,
    thesis,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

thf(f286,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f285]) ).

thf(f418,plain,
    ! [X0: view_e774982825t_unit] :
      ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
        & ( ( restrict @ X0 @ ( res @ ts ) @ e )
          = ( lan_Product_unit @ X0 ) )
        & ( ( len @ regular_regular @ X0 @ ts @ c )
          = ( ext_Product_unit @ X0 ) )
        & ( ( restrict @ X0 @ ( res @ ts ) @ c )
          = ( lan_Product_unit @ X0 ) )
        & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
        & ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
        & ( ( len @ regular_regular @ X0 @ ts @ e )
          = ( ext_Product_unit @ X0 ) )
        & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
          = one_one_nat )
        & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
          = one_one_nat ) )
     => thesis ),
    inference(rectify,[],[f284]) ).

thf(f419,plain,
    ! [X0: view_e774982825t_unit] :
      ( ( ( ( lan_Product_unit @ X0 )
          = ( restrict @ X0 @ ( res @ ts ) @ e ) )
        & ( ( restrict @ X0 @ ( res @ ts ) @ c )
          = ( lan_Product_unit @ X0 ) )
        & ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
          = $true )
        & ( ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
          = $true )
        & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
          = one_one_nat )
        & ( ( ext_Product_unit @ X0 )
          = ( len @ regular_regular @ X0 @ ts @ e ) )
        & ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
          = $true )
        & ( ( ext_Product_unit @ X0 )
          = ( len @ regular_regular @ X0 @ ts @ c ) )
        & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
          = one_one_nat ) )
     => ( thesis = $true ) ),
    inference(fool_elimination,[],[f418]) ).

thf(f444,plain,
    ? [X0: view_e774982825t_unit] :
      ( ( ( len @ regular_regular @ X0 @ ts @ e )
        = ( ext_Product_unit @ X0 ) )
      & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
      & ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
      & ( ( restrict @ X0 @ ( res @ ts ) @ e )
        = ( lan_Product_unit @ X0 ) )
      & ( ( restrict @ X0 @ ( res @ ts ) @ c )
        = ( lan_Product_unit @ X0 ) )
      & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
        = one_one_nat )
      & ( ( len @ regular_regular @ X0 @ ts @ c )
        = ( ext_Product_unit @ X0 ) )
      & ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
      & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
        = one_one_nat ) ),
    inference(rectify,[],[f5]) ).

thf(f445,plain,
    ? [X0: view_e774982825t_unit] :
      ( ( ( ext_Product_unit @ X0 )
        = ( len @ regular_regular @ X0 @ ts @ c ) )
      & ( ( restrict @ X0 @ ( res @ ts ) @ c )
        = ( lan_Product_unit @ X0 ) )
      & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
        = one_one_nat )
      & ( ( lan_Product_unit @ X0 )
        = ( restrict @ X0 @ ( res @ ts ) @ e ) )
      & ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
        = $true )
      & ( ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
        = $true )
      & ( ( nat_card @ ( lan_Product_unit @ X0 ) )
        = one_one_nat )
      & ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
        = $true )
      & ( ( ext_Product_unit @ X0 )
        = ( len @ regular_regular @ X0 @ ts @ e ) ) ),
    inference(fool_elimination,[],[f444]) ).

thf(f631,plain,
    ~ thesis,
    inference(rectify,[],[f286]) ).

thf(f632,plain,
    thesis != $true,
    inference(fool_elimination,[],[f631]) ).

thf(f752,plain,
    thesis != $true,
    inference(flattening,[],[f632]) ).

thf(f808,plain,
    ! [X0: view_e774982825t_unit] :
      ( ( thesis = $true )
      | ( ( lan_Product_unit @ X0 )
       != ( restrict @ X0 @ ( res @ ts ) @ e ) )
      | ( ( restrict @ X0 @ ( res @ ts ) @ c )
       != ( lan_Product_unit @ X0 ) )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
       != $true )
      | ( ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
       != $true )
      | ( ( nat_card @ ( lan_Product_unit @ X0 ) )
       != one_one_nat )
      | ( ( ext_Product_unit @ X0 )
       != ( len @ regular_regular @ X0 @ ts @ e ) )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
       != $true )
      | ( ( ext_Product_unit @ X0 )
       != ( len @ regular_regular @ X0 @ ts @ c ) )
      | ( ( nat_card @ ( lan_Product_unit @ X0 ) )
       != one_one_nat ) ),
    inference(ennf_transformation,[],[f419]) ).

thf(f809,plain,
    ! [X0: view_e774982825t_unit] :
      ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
       != $true )
      | ( ( ext_Product_unit @ X0 )
       != ( len @ regular_regular @ X0 @ ts @ c ) )
      | ( ( nat_card @ ( lan_Product_unit @ X0 ) )
       != one_one_nat )
      | ( ( nat_card @ ( lan_Product_unit @ X0 ) )
       != one_one_nat )
      | ( ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
       != $true )
      | ( thesis = $true )
      | ( ( restrict @ X0 @ ( res @ ts ) @ c )
       != ( lan_Product_unit @ X0 ) )
      | ( ( ext_Product_unit @ X0 )
       != ( len @ regular_regular @ X0 @ ts @ e ) )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
       != $true )
      | ( ( lan_Product_unit @ X0 )
       != ( restrict @ X0 @ ( res @ ts ) @ e ) ) ),
    inference(flattening,[],[f808]) ).

thf(f874,plain,
    ( ( ( len @ regular_regular @ sK7 @ ts @ c )
      = ( ext_Product_unit @ sK7 ) )
    & ( ( lan_Product_unit @ sK7 )
      = ( restrict @ sK7 @ ( res @ ts ) @ c ) )
    & ( one_one_nat
      = ( nat_card @ ( lan_Product_unit @ sK7 ) ) )
    & ( ( restrict @ sK7 @ ( res @ ts ) @ e )
      = ( lan_Product_unit @ sK7 ) )
    & ( $true
      = ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ sK7 ) ) ) )
    & ( ( ord_le461438217t_unit @ sK7 @ ( move @ ts3 @ ts @ v ) )
      = $true )
    & ( one_one_nat
      = ( nat_card @ ( lan_Product_unit @ sK7 ) ) )
    & ( $true
      = ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ sK7 ) ) ) )
    & ( ( len @ regular_regular @ sK7 @ ts @ e )
      = ( ext_Product_unit @ sK7 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f445]) ).

thf(f969,plain,
    ( ( len @ regular_regular @ sK7 @ ts @ e )
    = ( ext_Product_unit @ sK7 ) ),
    inference(cnf_transformation,[],[f874]) ).

thf(f970,plain,
    ( $true
    = ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ sK7 ) ) ) ),
    inference(cnf_transformation,[],[f874]) ).

thf(f972,plain,
    ( ( ord_le461438217t_unit @ sK7 @ ( move @ ts3 @ ts @ v ) )
    = $true ),
    inference(cnf_transformation,[],[f874]) ).

thf(f974,plain,
    ( ( restrict @ sK7 @ ( res @ ts ) @ e )
    = ( lan_Product_unit @ sK7 ) ),
    inference(cnf_transformation,[],[f874]) ).

thf(f975,plain,
    ( one_one_nat
    = ( nat_card @ ( lan_Product_unit @ sK7 ) ) ),
    inference(cnf_transformation,[],[f874]) ).

thf(f976,plain,
    ( ( lan_Product_unit @ sK7 )
    = ( restrict @ sK7 @ ( res @ ts ) @ c ) ),
    inference(cnf_transformation,[],[f874]) ).

thf(f977,plain,
    ( ( len @ regular_regular @ sK7 @ ts @ c )
    = ( ext_Product_unit @ sK7 ) ),
    inference(cnf_transformation,[],[f874]) ).

thf(f1093,plain,
    ! [X0: view_e774982825t_unit] :
      ( ( ( lan_Product_unit @ X0 )
       != ( restrict @ X0 @ ( res @ ts ) @ e ) )
      | ( ( nat_card @ ( lan_Product_unit @ X0 ) )
       != one_one_nat )
      | ( thesis = $true )
      | ( ( ext_Product_unit @ X0 )
       != ( len @ regular_regular @ X0 @ ts @ e ) )
      | ( ( nat_card @ ( lan_Product_unit @ X0 ) )
       != one_one_nat )
      | ( ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
       != $true )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
       != $true )
      | ( ( ext_Product_unit @ X0 )
       != ( len @ regular_regular @ X0 @ ts @ c ) )
      | ( ( restrict @ X0 @ ( res @ ts ) @ c )
       != ( lan_Product_unit @ X0 ) )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
       != $true ) ),
    inference(cnf_transformation,[],[f809]) ).

thf(f1098,plain,
    thesis != $true,
    inference(cnf_transformation,[],[f752]) ).

thf(f1114,plain,
    ! [X0: view_e774982825t_unit] :
      ( ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
       != $true )
      | ( ( ext_Product_unit @ X0 )
       != ( len @ regular_regular @ X0 @ ts @ e ) )
      | ( ( ext_Product_unit @ X0 )
       != ( len @ regular_regular @ X0 @ ts @ c ) )
      | ( thesis = $true )
      | ( ( nat_card @ ( lan_Product_unit @ X0 ) )
       != one_one_nat )
      | ( ( lan_Product_unit @ X0 )
       != ( restrict @ X0 @ ( res @ ts ) @ e ) )
      | ( ( restrict @ X0 @ ( res @ ts ) @ c )
       != ( lan_Product_unit @ X0 ) )
      | ( ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
       != $true ) ),
    inference(duplicate_literal_removal,[],[f1093]) ).

thf(f1115,plain,
    ! [X0: view_e774982825t_unit] :
      ( ( ( ext_Product_unit @ X0 )
       != ( len @ regular_regular @ X0 @ ts @ e ) )
      | ( ( ord_le461438217t_unit @ X0 @ ( move @ ts3 @ ts @ v ) )
       != $true )
      | ( ( ext_Product_unit @ X0 )
       != ( len @ regular_regular @ X0 @ ts @ c ) )
      | ( ( lan_Product_unit @ X0 )
       != ( restrict @ X0 @ ( res @ ts ) @ e ) )
      | ( ( restrict @ X0 @ ( res @ ts ) @ c )
       != ( lan_Product_unit @ X0 ) )
      | ( ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X0 ) ) )
       != $true )
      | ( ( nat_card @ ( lan_Product_unit @ X0 ) )
       != one_one_nat ) ),
    inference(forward_subsumption_resolution,[],[f1114,f1098]) ).

thf(f1118,plain,
    ( ( $true
     != ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ sK7 ) ) ) )
    | ( ( ord_le461438217t_unit @ sK7 @ ( move @ ts3 @ ts @ v ) )
     != $true )
    | ( ( lan_Product_unit @ sK7 )
     != ( restrict @ sK7 @ ( res @ ts ) @ c ) )
    | ( ( restrict @ sK7 @ ( res @ ts ) @ e )
     != ( lan_Product_unit @ sK7 ) )
    | ( ( ext_Product_unit @ sK7 )
     != ( ext_Product_unit @ sK7 ) )
    | ( ( len @ regular_regular @ sK7 @ ts @ c )
     != ( ext_Product_unit @ sK7 ) )
    | ( one_one_nat
     != ( nat_card @ ( lan_Product_unit @ sK7 ) ) ) ),
    inference(superposition,[],[f1115,f969]) ).

thf(f1142,plain,
    ( ( ( lan_Product_unit @ sK7 )
     != ( restrict @ sK7 @ ( res @ ts ) @ c ) )
    | ( ( ord_le461438217t_unit @ sK7 @ ( move @ ts3 @ ts @ v ) )
     != $true )
    | ( $true
     != ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ sK7 ) ) ) )
    | ( ( len @ regular_regular @ sK7 @ ts @ c )
     != ( ext_Product_unit @ sK7 ) )
    | ( one_one_nat
     != ( nat_card @ ( lan_Product_unit @ sK7 ) ) )
    | ( ( restrict @ sK7 @ ( res @ ts ) @ e )
     != ( lan_Product_unit @ sK7 ) ) ),
    inference(trivial_inequality_removal,[],[f1118]) ).

thf(f1149,plain,
    ( ( ( len @ regular_regular @ sK7 @ ts @ c )
     != ( ext_Product_unit @ sK7 ) )
    | ( $true
     != ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ sK7 ) ) ) )
    | ( ( restrict @ sK7 @ ( res @ ts ) @ e )
     != ( lan_Product_unit @ sK7 ) )
    | ( one_one_nat
     != ( nat_card @ ( lan_Product_unit @ sK7 ) ) )
    | ( ( ord_le461438217t_unit @ sK7 @ ( move @ ts3 @ ts @ v ) )
     != $true ) ),
    inference(forward_subsumption_resolution,[],[f1142,f976]) ).

thf(f1155,plain,
    ( ( $true
     != ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ sK7 ) ) ) )
    | ( ( ord_le461438217t_unit @ sK7 @ ( move @ ts3 @ ts @ v ) )
     != $true )
    | ( ( restrict @ sK7 @ ( res @ ts ) @ e )
     != ( lan_Product_unit @ sK7 ) )
    | ( one_one_nat
     != ( nat_card @ ( lan_Product_unit @ sK7 ) ) ) ),
    inference(forward_subsumption_resolution,[],[f1149,f977]) ).

thf(f1160,plain,
    ( ( ( ord_le461438217t_unit @ sK7 @ ( move @ ts3 @ ts @ v ) )
     != $true )
    | ( one_one_nat
     != ( nat_card @ ( lan_Product_unit @ sK7 ) ) )
    | ( ( restrict @ sK7 @ ( res @ ts ) @ e )
     != ( lan_Product_unit @ sK7 ) ) ),
    inference(forward_subsumption_resolution,[],[f1155,f970]) ).

thf(f1162,plain,
    ( ( ( restrict @ sK7 @ ( res @ ts ) @ e )
     != ( lan_Product_unit @ sK7 ) )
    | ( one_one_nat
     != ( nat_card @ ( lan_Product_unit @ sK7 ) ) ) ),
    inference(forward_subsumption_resolution,[],[f1160,f972]) ).

thf(f1163,plain,
    ( one_one_nat
   != ( nat_card @ ( lan_Product_unit @ sK7 ) ) ),
    inference(forward_subsumption_resolution,[],[f1162,f974]) ).

thf(f1164,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1163,f975]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP169^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n015.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 20:08:34 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.08/0.25  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.40  % (4052654)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.67/0.40  % (4052663)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3515426572:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.67/0.40  % (4052665)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.67/0.40  % (4052665)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.67/0.40  % (4052663)Instruction limit reached! 
% 0.67/0.40  % (4052663)------------------------------
% 0.67/0.40  % (4052663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052663)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052663)Termination reason: Instruction limit
% 0.67/0.40  % (4052663)Termination phase: shuffling
% 0.67/0.40  % (4052663)Time elapsed: 0.006 s
% 0.67/0.40  % (4052663)Peak memory usage: 10 MB
% 0.67/0.40  % (4052663)Instructions burned: 25 (million)
% 0.67/0.40  % (4052659)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3468592408:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.67/0.40  % (4052660)lrs+10_16_si=on:nwc=1.5:random_seed=626722531:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.67/0.40  % (4052661)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=877823788:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.67/0.40  % (4052664)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3304035689:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.67/0.40  % (4052665)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3809352296:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.67/0.40  % (4052662)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2153625981:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.67/0.40  % (4052661)Instruction limit reached! 
% 0.67/0.40  % (4052661)------------------------------
% 0.67/0.40  % (4052661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052661)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052661)Termination reason: Instruction limit
% 0.67/0.40  % (4052661)Termination phase: shuffling
% 0.67/0.40  % (4052661)Time elapsed: 0.002 s
% 0.67/0.40  % (4052661)Peak memory usage: 10 MB
% 0.67/0.40  % (4052661)Instructions burned: 4 (million)
% 0.67/0.40  % (4052660)Instruction limit reached! 
% 0.67/0.40  % (4052660)------------------------------
% 0.67/0.40  % (4052660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052660)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052660)Termination reason: Instruction limit
% 0.67/0.40  % (4052660)Termination phase: shuffling
% 0.67/0.40  % (4052660)Time elapsed: 0.009 s
% 0.67/0.40  % (4052660)Peak memory usage: 10 MB
% 0.67/0.40  % (4052660)Instructions burned: 20 (million)
% 0.67/0.40  % (4052667)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1174217033:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.40  % (4052667)Instruction limit reached! 
% 0.67/0.40  % (4052667)------------------------------
% 0.67/0.40  % (4052667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052667)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052667)Termination reason: Instruction limit
% 0.67/0.40  % (4052667)Termination phase: shuffling
% 0.67/0.40  % (4052667)Time elapsed: 0.001 s
% 0.67/0.40  % (4052667)Peak memory usage: 10 MB
% 0.67/0.40  % (4052667)Instructions burned: 6 (million)
% 0.67/0.40  % (4052677)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=629874425:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.67/0.40  % (4052674)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3784973018:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.67/0.40  % (4052676)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.40  % (4052677)Instruction limit reached! 
% 0.67/0.40  % (4052677)------------------------------
% 0.67/0.40  % (4052677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052677)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052677)Termination reason: Instruction limit
% 0.67/0.40  % (4052677)Termination phase: shuffling
% 0.67/0.40  % (4052677)Time elapsed: 0.003 s
% 0.67/0.40  % (4052677)Peak memory usage: 10 MB
% 0.67/0.40  % (4052677)Instructions burned: 16 (million)
% 0.67/0.40  % (4052674)Instruction limit reached! 
% 0.67/0.40  % (4052674)------------------------------
% 0.67/0.40  % (4052674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052674)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052674)Termination reason: Instruction limit
% 0.67/0.40  % (4052674)Termination phase: shuffling
% 0.67/0.40  % (4052674)Time elapsed: 0.003 s
% 0.67/0.40  % (4052674)Peak memory usage: 10 MB
% 0.67/0.40  % (4052674)Instructions burned: 7 (million)
% 0.67/0.40  % (4052676)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2666964651:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.67/0.40  % (4052676)Instruction limit reached! 
% 0.67/0.40  % (4052676)------------------------------
% 0.67/0.40  % (4052676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052676)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052676)Termination reason: Instruction limit
% 0.67/0.40  % (4052676)Termination phase: shuffling
% 0.67/0.40  % (4052676)Time elapsed: 0.004 s
% 0.67/0.40  % (4052676)Peak memory usage: 10 MB
% 0.67/0.40  % (4052676)Instructions burned: 8 (million)
% 0.67/0.40  % (4052680)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.67/0.40  % (4052680)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.40  % (4052680)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1230172140:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.67/0.40  % (4052664)Instruction limit reached! 
% 0.67/0.40  % (4052664)------------------------------
% 0.67/0.40  % (4052664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052664)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052664)Termination reason: Instruction limit
% 0.67/0.40  % (4052664)Termination phase: Preprocessing 3
% 0.67/0.40  % (4052664)Time elapsed: 0.037 s
% 0.67/0.40  % (4052664)Peak memory usage: 11 MB
% 0.67/0.40  % (4052664)Instructions burned: 75 (million)
% 0.67/0.40  % (4052659)Instruction limit reached! 
% 0.67/0.40  % (4052659)------------------------------
% 0.67/0.40  % (4052659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052659)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052659)Termination reason: Instruction limit
% 0.67/0.40  % (4052659)Termination phase: Preprocessing 3
% 0.67/0.40  % (4052659)Time elapsed: 0.039 s
% 0.67/0.40  % (4052659)Peak memory usage: 12 MB
% 0.67/0.40  % (4052659)Instructions burned: 87 (million)
% 0.67/0.40  % (4052680)Instruction limit reached! 
% 0.67/0.40  % (4052680)------------------------------
% 0.67/0.40  % (4052680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052680)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052680)Termination reason: Instruction limit
% 0.67/0.40  % (4052680)Termination phase: shuffling
% 0.67/0.40  % (4052680)Time elapsed: 0.007 s
% 0.67/0.40  % (4052680)Peak memory usage: 10 MB
% 0.67/0.40  % (4052680)Instructions burned: 31 (million)
% 0.67/0.40  % (4052681)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2226709995:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.67/0.40  % (4052687)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2690115879:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.67/0.40  % (4052685)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.67/0.40  % (4052685)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=935475469:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.40  % (4052685)Instruction limit reached! 
% 0.67/0.40  % (4052685)------------------------------
% 0.67/0.40  % (4052685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052685)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052685)Termination reason: Instruction limit
% 0.67/0.40  % (4052685)Termination phase: shuffling
% 0.67/0.40  % (4052685)Time elapsed: 0.004 s
% 0.67/0.40  % (4052685)Peak memory usage: 10 MB
% 0.67/0.40  % (4052685)Instructions burned: 8 (million)
% 0.67/0.40  % (4052683)lrs+10_1_si=on:cs=on:random_seed=1999327349:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.67/0.40  % (4052665)Instruction limit reached! 
% 0.67/0.40  % (4052665)------------------------------
% 0.67/0.40  % (4052665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052665)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052665)Termination reason: Instruction limit
% 0.67/0.40  % (4052665)Termination phase: Saturation
% 0.67/0.40  % (4052665)Time elapsed: 0.067 s
% 0.67/0.40  % (4052665)Peak memory usage: 13 MB
% 0.67/0.40  % (4052665)Instructions burned: 158 (million)
% 0.67/0.40  % (4052683)Instruction limit reached! 
% 0.67/0.40  % (4052683)------------------------------
% 0.67/0.40  % (4052683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052683)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052683)Termination reason: Instruction limit
% 0.67/0.40  % (4052683)Termination phase: shuffling
% 0.67/0.40  % (4052683)Time elapsed: 0.004 s
% 0.67/0.40  % (4052683)Peak memory usage: 10 MB
% 0.67/0.40  % (4052683)Instructions burned: 9 (million)
% 0.67/0.40  % (4052686)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2347644546:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.67/0.40  % (4052681)Instruction limit reached! 
% 0.67/0.40  % (4052681)------------------------------
% 0.67/0.40  % (4052681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.40  % (4052681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.40  % (4052681)CaDiCaL version: 2.1.3
% 0.67/0.40  % (4052681)Termination reason: Instruction limit
% 0.67/0.40  % (4052681)Termination phase: Property scanning
% 0.67/0.40  % (4052681)Time elapsed: 0.036 s
% 0.67/0.40  % (4052681)Peak memory usage: 11 MB
% 0.67/0.40  % (4052681)Instructions burned: 87 (million)
% 0.67/0.40  % (4052691)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2305477529:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.67/0.40  % (4052687) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4052654-4052687"...
% 0.67/0.40  % (4052687)...printing done.
% 0.67/0.40  % (4052687)Refutation found. Thanks to Tanya!
% 0.67/0.40  % SZS status Theorem for theBenchmark
% 0.67/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.41  % (4052687)------------------------------
% 0.67/0.41  % (4052687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.41  % (4052687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.41  % (4052687)CaDiCaL version: 2.1.3
% 0.67/0.41  % (4052687)Termination reason: Refutation
% 0.67/0.41  % (4052687)Time elapsed: 0.031 s
% 0.67/0.41  % (4052687)Peak memory usage: 14 MB
% 0.67/0.41  % (4052687)Instructions burned: 132 (million)
% 0.67/0.41  % (4052654)Success in time 0.146 s
% 0.67/0.41  % Vampire exiting
%------------------------------------------------------------------------------